The Math Behind Bitcoin - CoinDesk

cryptography

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Cryptography news and discussions

Cryptography is the art of creating mathematical assurances for who can do what with data, including but not limited to encryption of messages such that only the key-holder can read it. Cryptography lives at an intersection of math and computer science. This subreddit covers the theory and practice of modern and *strong* cryptography, and it is a technical subreddit focused on the algorithms and implementations of cryptography.
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Where we have our trust: in Math, and her daughter, Cryptography /r/Bitcoin

Where we have our trust: in Math, and her daughter, Cryptography /Bitcoin submitted by ABitcoinAllBot to BitcoinAll [link] [comments]

Math Behind Bitcoin and Elliptic Curve Cryptography (Explained Simply)

Math Behind Bitcoin and Elliptic Curve Cryptography (Explained Simply) submitted by Piterst to Bitcoin [link] [comments]

Math Behind Bitcoin and Elliptic Curve Cryptography (Explained Simply)

Math Behind Bitcoin and Elliptic Curve Cryptography (Explained Simply) submitted by Piterst to btc [link] [comments]

Math Behind Bitcoin and Elliptic Curve Cryptography (Explained Simply)

Math Behind Bitcoin and Elliptic Curve Cryptography (Explained Simply) submitted by Piterst to CryptoCurrency [link] [comments]

Math Behind Bitcoin and Elliptic Curve Cryptography (Explained Simply)

Math Behind Bitcoin and Elliptic Curve Cryptography (Explained Simply) submitted by ABitcoinAllBot to BitcoinAll [link] [comments]

Can anyone recommend good study materials on cryptography for someone with a strong math/econ background and minor programming experience? /r/Bitcoin

Can anyone recommend good study materials on cryptography for someone with a strong math/econ background and minor programming experience? /Bitcoin submitted by BitcoinAllBot to BitcoinAll [link] [comments]

[FORHIRE] python, bitcoind, custom bitcoin scripts, physics, math, cryptography

I can:
*do your homework in math, physics, programming, and cryptography.
*Assess the security of your bitcoin-enabled site to make sure no one can steal your bitcoin.
*write bitcoin-enabled tools and websites.
*write custom bitcoin scripts: https://en.bitcoin.it/wiki/Contracts
*write code that utalizes distributed computation http://link.springer.com/chapte10.1007%2F978-3-540-30556-9_4
*modernize communication protocols to minimize risk from info leak.
-including stenography, so no harm done if message is intercepted. -including deniability, so even if message is decrypted, there is no way to prove who sent the message. 
Whatever your problem is, I can probably solve it. My rates are very affordable.
submitted by agorism1337 to Jobs4Bitcoins [link] [comments]

Technical: Taproot: Why Activate?

This is a follow-up on https://old.reddit.com/Bitcoin/comments/hqzp14/technical_the_path_to_taproot_activation/
Taproot! Everybody wants it!! But... you might ask yourself: sure, everybody else wants it, but why would I, sovereign Bitcoin HODLer, want it? Surely I can be better than everybody else because I swapped XXX fiat for Bitcoin unlike all those nocoiners?
And it is important for you to know the reasons why you, o sovereign Bitcoiner, would want Taproot activated. After all, your nodes (or the nodes your wallets use, which if you are SPV, you hopefully can pester to your wallet vendoimplementor about) need to be upgraded in order for Taproot activation to actually succeed instead of becoming a hot sticky mess.
First, let's consider some principles of Bitcoin.
I'm sure most of us here would agree that the above are very important principles of Bitcoin and that these are principles we would not be willing to remove. If anything, we would want those principles strengthened (especially the last one, financial privacy, which current Bitcoin is only sporadically strong with: you can get privacy, it just requires effort to do so).
So, how does Taproot affect those principles?

Taproot and Your /Coins

Most HODLers probably HODL their coins in singlesig addresses. Sadly, switching to Taproot would do very little for you (it gives a mild discount at spend time, at the cost of a mild increase in fee at receive time (paid by whoever sends to you, so if it's a self-send from a P2PKH or bech32 address, you pay for this); mostly a wash).
(technical details: a Taproot output is 1 version byte + 32 byte public key, while a P2WPKH (bech32 singlesig) output is 1 version byte + 20 byte public key hash, so the Taproot output spends 12 bytes more; spending from a P2WPKH requires revealing a 32-byte public key later, which is not needed with Taproot, and Taproot signatures are about 9 bytes smaller than P2WPKH signatures, but the 32 bytes plus 9 bytes is divided by 4 because of the witness discount, so it saves about 11 bytes; mostly a wash, it increases blockweight by about 1 virtual byte, 4 weight for each Taproot-output-input, compared to P2WPKH-output-input).
However, as your HODLings grow in value, you might start wondering if multisignature k-of-n setups might be better for the security of your savings. And it is in multisignature that Taproot starts to give benefits!
Taproot switches to using Schnorr signing scheme. Schnorr makes key aggregation -- constructing a single public key from multiple public keys -- almost as trivial as adding numbers together. "Almost" because it involves some fairly advanced math instead of simple boring number adding, but hey when was the last time you added up your grocery list prices by hand huh?
With current P2SH and P2WSH multisignature schemes, if you have a 2-of-3 setup, then to spend, you need to provide two different signatures from two different public keys. With Taproot, you can create, using special moon math, a single public key that represents your 2-of-3 setup. Then you just put two of your devices together, have them communicate to each other (this can be done airgapped, in theory, by sending QR codes: the software to do this is not even being built yet, but that's because Taproot hasn't activated yet!), and they will make a single signature to authorize any spend from your 2-of-3 address. That's 73 witness bytes -- 18.25 virtual bytes -- of signatures you save!
And if you decide that your current setup with 1-of-1 P2PKH / P2WPKH addresses is just fine as-is: well, that's the whole point of a softfork: backwards-compatibility; you can receive from Taproot users just fine, and once your wallet is updated for Taproot-sending support, you can send to Taproot users just fine as well!
(P2WPKH and P2WSH -- SegWit v0 -- addresses start with bc1q; Taproot -- SegWit v1 --- addresses start with bc1p, in case you wanted to know the difference; in bech32 q is 0, p is 1)
Now how about HODLers who keep all, or some, of their coins on custodial services? Well, any custodial service worth its salt would be doing at least 2-of-3, or probably something even bigger, like 11-of-15. So your custodial service, if it switched to using Taproot internally, could save a lot more (imagine an 11-of-15 getting reduced from 11 signatures to just 1!), which --- we can only hope! --- should translate to lower fees and better customer service from your custodial service!
So I think we can say, very accurately, that the Bitcoin principle --- that YOU are in control of your money --- can only be helped by Taproot (if you are doing multisignature), and, because P2PKH and P2WPKH remain validly-usable addresses in a Taproot future, will not be harmed by Taproot. Its benefit to this principle might be small (it mostly only benefits multisignature users) but since it has no drawbacks with this (i.e. singlesig users can continue to use P2WPKH and P2PKH still) this is still a nice, tidy win!
(even singlesig users get a minor benefit, in that multisig users will now reduce their blockchain space footprint, so that fees can be kept low for everybody; so for example even if you have your single set of private keys engraved on titanium plates sealed in an airtight box stored in a safe buried in a desert protected by angry nomads riding giant sandworms because you're the frickin' Kwisatz Haderach, you still gain some benefit from Taproot)
And here's the important part: if P2PKH/P2WPKH is working perfectly fine with you and you decide to never use Taproot yourself, Taproot will not affect you detrimentally. First do no harm!

Taproot and Your Contracts

No one is an island, no one lives alone. Give and you shall receive. You know: by trading with other people, you can gain expertise in some obscure little necessity of the world (and greatly increase your productivity in that little field), and then trade the products of your expertise for necessities other people have created, all of you thereby gaining gains from trade.
So, contracts, which are basically enforceable agreements that facilitate trading with people who you do not personally know and therefore might not trust.
Let's start with a simple example. You want to buy some gewgaws from somebody. But you don't know them personally. The seller wants the money, you want their gewgaws, but because of the lack of trust (you don't know them!! what if they're scammers??) neither of you can benefit from gains from trade.
However, suppose both of you know of some entity that both of you trust. That entity can act as a trusted escrow. The entity provides you security: this enables the trade, allowing both of you to get gains from trade.
In Bitcoin-land, this can be implemented as a 2-of-3 multisignature. The three signatories in the multisgnature would be you, the gewgaw seller, and the escrow. You put the payment for the gewgaws into this 2-of-3 multisignature address.
Now, suppose it turns out neither of you are scammers (whaaaat!). You receive the gewgaws just fine and you're willing to pay up for them. Then you and the gewgaw seller just sign a transaction --- you and the gewgaw seller are 2, sufficient to trigger the 2-of-3 --- that spends from the 2-of-3 address to a singlesig the gewgaw seller wants (or whatever address the gewgaw seller wants).
But suppose some problem arises. The seller gave you gawgews instead of gewgaws. Or you decided to keep the gewgaws but not sign the transaction to release the funds to the seller. In either case, the escrow is notified, and if it can sign with you to refund the funds back to you (if the seller was a scammer) or it can sign with the seller to forward the funds to the seller (if you were a scammer).
Taproot helps with this: like mentioned above, it allows multisignature setups to produce only one signature, reducing blockchain space usage, and thus making contracts --- which require multiple people, by definition, you don't make contracts with yourself --- is made cheaper (which we hope enables more of these setups to happen for more gains from trade for everyone, also, moon and lambos).
(technology-wise, it's easier to make an n-of-n than a k-of-n, making a k-of-n would require a complex setup involving a long ritual with many communication rounds between the n participants, but an n-of-n can be done trivially with some moon math. You can, however, make what is effectively a 2-of-3 by using a three-branch SCRIPT: either 2-of-2 of you and seller, OR 2-of-2 of you and escrow, OR 2-of-2 of escrow and seller. Fortunately, Taproot adds a facility to embed a SCRIPT inside a public key, so you can have a 2-of-2 Taprooted address (between you and seller) with a SCRIPT branch that can instead be spent with 2-of-2 (you + escrow) OR 2-of-2 (seller + escrow), which implements the three-branched SCRIPT above. If neither of you are scammers (hopefully the common case) then you both sign using your keys and never have to contact the escrow, since you are just using the escrow public key without coordinating with them (because n-of-n is trivial but k-of-n requires setup with communication rounds), so in the "best case" where both of you are honest traders, you also get a privacy boost, in that the escrow never learns you have been trading on gewgaws, I mean ewww, gawgews are much better than gewgaws and therefore I now judge you for being a gewgaw enthusiast, you filthy gewgawer).

Taproot and Your Contracts, Part 2: Cryptographic Boogaloo

Now suppose you want to buy some data instead of things. For example, maybe you have some closed-source software in trial mode installed, and want to pay the developer for the full version. You want to pay for an activation code.
This can be done, today, by using an HTLC. The developer tells you the hash of the activation code. You pay to an HTLC, paying out to the developer if it reveals the preimage (the activation code), or refunding the money back to you after a pre-agreed timeout. If the developer claims the funds, it has to reveal the preimage, which is the activation code, and you can now activate your software. If the developer does not claim the funds by the timeout, you get refunded.
And you can do that, with HTLCs, today.
Of course, HTLCs do have problems:
Fortunately, with Schnorr (which is enabled by Taproot), we can now use the Scriptless Script constuction by Andrew Poelstra. This Scriptless Script allows a new construction, the PTLC or Pointlocked Timelocked Contract. Instead of hashes and preimages, just replace "hash" with "point" and "preimage" with "scalar".
Or as you might know them: "point" is really "public key" and "scalar" is really a "private key". What a PTLC does is that, given a particular public key, the pointlocked branch can be spent only if the spender reveals the private key of the given public key to you.
Another nice thing with PTLCs is that they are deniable. What appears onchain is just a single 2-of-2 signature between you and the developemanufacturer. It's like a magic trick. This signature has no special watermarks, it's a perfectly normal signature (the pledge). However, from this signature, plus some datta given to you by the developemanufacturer (known as the adaptor signature) you can derive the private key of a particular public key you both agree on (the turn). Anyone scraping the blockchain will just see signatures that look just like every other signature, and as long as nobody manages to hack you and get a copy of the adaptor signature or the private key, they cannot get the private key behind the public key (point) that the pointlocked branch needs (the prestige).
(Just to be clear, the public key you are getting the private key from, is distinct from the public key that the developemanufacturer will use for its funds. The activation key is different from the developer's onchain Bitcoin key, and it is the activation key whose private key you will be learning, not the developer's/manufacturer's onchain Bitcoin key).
So:
Taproot lets PTLCs exist onchain because they enable Schnorr, which is a requirement of PTLCs / Scriptless Script.
(technology-wise, take note that Scriptless Script works only for the "pointlocked" branch of the contract; you need normal Script, or a pre-signed nLockTimed transaction, for the "timelocked" branch. Since Taproot can embed a script, you can have the Taproot pubkey be a 2-of-2 to implement the Scriptless Script "pointlocked" branch, then have a hidden script that lets you recover the funds with an OP_CHECKLOCKTIMEVERIFY after the timeout if the seller does not claim the funds.)

Quantum Quibbles!

Now if you were really paying attention, you might have noticed this parenthetical:
(technical details: a Taproot output is 1 version byte + 32 byte public key, while a P2WPKH (bech32 singlesig) output is 1 version byte + 20 byte public key hash...)
So wait, Taproot uses raw 32-byte public keys, and not public key hashes? Isn't that more quantum-vulnerable??
Well, in theory yes. In practice, they probably are not.
It's not that hashes can be broken by quantum computes --- they're still not. Instead, you have to look at how you spend from a P2WPKH/P2PKH pay-to-public-key-hash.
When you spend from a P2PKH / P2WPKH, you have to reveal the public key. Then Bitcoin hashes it and checks if this matches with the public-key-hash, and only then actually validates the signature for that public key.
So an unconfirmed transaction, floating in the mempools of nodes globally, will show, in plain sight for everyone to see, your public key.
(public keys should be public, that's why they're called public keys, LOL)
And if quantum computers are fast enough to be of concern, then they are probably fast enough that, in the several minutes to several hours from broadcast to confirmation, they have already cracked the public key that is openly broadcast with your transaction. The owner of the quantum computer can now replace your unconfirmed transaction with one that pays the funds to itself. Even if you did not opt-in RBF, miners are still incentivized to support RBF on RBF-disabled transactions.
So the extra hash is not as significant a protection against quantum computers as you might think. Instead, the extra hash-and-compare needed is just extra validation effort.
Further, if you have ever, in the past, spent from the address, then there exists already a transaction indelibly stored on the blockchain, openly displaying the public key from which quantum computers can derive the private key. So those are still vulnerable to quantum computers.
For the most part, the cryptographers behind Taproot (and Bitcoin Core) are of the opinion that quantum computers capable of cracking Bitcoin pubkeys are unlikely to appear within a decade or two.
So:
For now, the homomorphic and linear properties of elliptic curve cryptography provide a lot of benefits --- particularly the linearity property is what enables Scriptless Script and simple multisignature (i.e. multisignatures that are just 1 signature onchain). So it might be a good idea to take advantage of them now while we are still fairly safe against quantum computers. It seems likely that quantum-safe signature schemes are nonlinear (thus losing these advantages).

Summary

I Wanna Be The Taprooter!

So, do you want to help activate Taproot? Here's what you, mister sovereign Bitcoin HODLer, can do!

But I Hate Taproot!!

That's fine!

Discussions About Taproot Activation

submitted by almkglor to Bitcoin [link] [comments]

[ Bitcoin ] Technical: Taproot: Why Activate?

Topic originally posted in Bitcoin by almkglor [link]
This is a follow-up on https://old.reddit.com/Bitcoin/comments/hqzp14/technical_the_path_to_taproot_activation/
Taproot! Everybody wants it!! But... you might ask yourself: sure, everybody else wants it, but why would I, sovereign Bitcoin HODLer, want it? Surely I can be better than everybody else because I swapped XXX fiat for Bitcoin unlike all those nocoiners?
And it is important for you to know the reasons why you, o sovereign Bitcoiner, would want Taproot activated. After all, your nodes (or the nodes your wallets use, which if you are SPV, you hopefully can pester to your wallet vendoimplementor about) need to be upgraded in order for Taproot activation to actually succeed instead of becoming a hot sticky mess.
First, let's consider some principles of Bitcoin.
I'm sure most of us here would agree that the above are very important principles of Bitcoin and that these are principles we would not be willing to remove. If anything, we would want those principles strengthened (especially the last one, financial privacy, which current Bitcoin is only sporadically strong with: you can get privacy, it just requires effort to do so).
So, how does Taproot affect those principles?

Taproot and Your /Coins

Most HODLers probably HODL their coins in singlesig addresses. Sadly, switching to Taproot would do very little for you (it gives a mild discount at spend time, at the cost of a mild increase in fee at receive time (paid by whoever sends to you, so if it's a self-send from a P2PKH or bech32 address, you pay for this); mostly a wash).
(technical details: a Taproot output is 1 version byte + 32 byte public key, while a P2WPKH (bech32 singlesig) output is 1 version byte + 20 byte public key hash, so the Taproot output spends 12 bytes more; spending from a P2WPKH requires revealing a 32-byte public key later, which is not needed with Taproot, and Taproot signatures are about 9 bytes smaller than P2WPKH signatures, but the 32 bytes plus 9 bytes is divided by 4 because of the witness discount, so it saves about 11 bytes; mostly a wash, it increases blockweight by about 1 virtual byte, 4 weight for each Taproot-output-input, compared to P2WPKH-output-input).
However, as your HODLings grow in value, you might start wondering if multisignature k-of-n setups might be better for the security of your savings. And it is in multisignature that Taproot starts to give benefits!
Taproot switches to using Schnorr signing scheme. Schnorr makes key aggregation -- constructing a single public key from multiple public keys -- almost as trivial as adding numbers together. "Almost" because it involves some fairly advanced math instead of simple boring number adding, but hey when was the last time you added up your grocery list prices by hand huh?
With current P2SH and P2WSH multisignature schemes, if you have a 2-of-3 setup, then to spend, you need to provide two different signatures from two different public keys. With Taproot, you can create, using special moon math, a single public key that represents your 2-of-3 setup. Then you just put two of your devices together, have them communicate to each other (this can be done airgapped, in theory, by sending QR codes: the software to do this is not even being built yet, but that's because Taproot hasn't activated yet!), and they will make a single signature to authorize any spend from your 2-of-3 address. That's 73 witness bytes -- 18.25 virtual bytes -- of signatures you save!
And if you decide that your current setup with 1-of-1 P2PKH / P2WPKH addresses is just fine as-is: well, that's the whole point of a softfork: backwards-compatibility; you can receive from Taproot users just fine, and once your wallet is updated for Taproot-sending support, you can send to Taproot users just fine as well!
(P2WPKH and P2WSH -- SegWit v0 -- addresses start with bc1q; Taproot -- SegWit v1 --- addresses start with bc1p, in case you wanted to know the difference; in bech32 q is 0, p is 1)
Now how about HODLers who keep all, or some, of their coins on custodial services? Well, any custodial service worth its salt would be doing at least 2-of-3, or probably something even bigger, like 11-of-15. So your custodial service, if it switched to using Taproot internally, could save a lot more (imagine an 11-of-15 getting reduced from 11 signatures to just 1!), which --- we can only hope! --- should translate to lower fees and better customer service from your custodial service!
So I think we can say, very accurately, that the Bitcoin principle --- that YOU are in control of your money --- can only be helped by Taproot (if you are doing multisignature), and, because P2PKH and P2WPKH remain validly-usable addresses in a Taproot future, will not be harmed by Taproot. Its benefit to this principle might be small (it mostly only benefits multisignature users) but since it has no drawbacks with this (i.e. singlesig users can continue to use P2WPKH and P2PKH still) this is still a nice, tidy win!
(even singlesig users get a minor benefit, in that multisig users will now reduce their blockchain space footprint, so that fees can be kept low for everybody; so for example even if you have your single set of private keys engraved on titanium plates sealed in an airtight box stored in a safe buried in a desert protected by angry nomads riding giant sandworms because you're the frickin' Kwisatz Haderach, you still gain some benefit from Taproot)
And here's the important part: if P2PKH/P2WPKH is working perfectly fine with you and you decide to never use Taproot yourself, Taproot will not affect you detrimentally. First do no harm!

Taproot and Your Contracts

No one is an island, no one lives alone. Give and you shall receive. You know: by trading with other people, you can gain expertise in some obscure little necessity of the world (and greatly increase your productivity in that little field), and then trade the products of your expertise for necessities other people have created, all of you thereby gaining gains from trade.
So, contracts, which are basically enforceable agreements that facilitate trading with people who you do not personally know and therefore might not trust.
Let's start with a simple example. You want to buy some gewgaws from somebody. But you don't know them personally. The seller wants the money, you want their gewgaws, but because of the lack of trust (you don't know them!! what if they're scammers??) neither of you can benefit from gains from trade.
However, suppose both of you know of some entity that both of you trust. That entity can act as a trusted escrow. The entity provides you security: this enables the trade, allowing both of you to get gains from trade.
In Bitcoin-land, this can be implemented as a 2-of-3 multisignature. The three signatories in the multisgnature would be you, the gewgaw seller, and the escrow. You put the payment for the gewgaws into this 2-of-3 multisignature address.
Now, suppose it turns out neither of you are scammers (whaaaat!). You receive the gewgaws just fine and you're willing to pay up for them. Then you and the gewgaw seller just sign a transaction --- you and the gewgaw seller are 2, sufficient to trigger the 2-of-3 --- that spends from the 2-of-3 address to a singlesig the gewgaw seller wants (or whatever address the gewgaw seller wants).
But suppose some problem arises. The seller gave you gawgews instead of gewgaws. Or you decided to keep the gewgaws but not sign the transaction to release the funds to the seller. In either case, the escrow is notified, and if it can sign with you to refund the funds back to you (if the seller was a scammer) or it can sign with the seller to forward the funds to the seller (if you were a scammer).
Taproot helps with this: like mentioned above, it allows multisignature setups to produce only one signature, reducing blockchain space usage, and thus making contracts --- which require multiple people, by definition, you don't make contracts with yourself --- is made cheaper (which we hope enables more of these setups to happen for more gains from trade for everyone, also, moon and lambos).
(technology-wise, it's easier to make an n-of-n than a k-of-n, making a k-of-n would require a complex setup involving a long ritual with many communication rounds between the n participants, but an n-of-n can be done trivially with some moon math. You can, however, make what is effectively a 2-of-3 by using a three-branch SCRIPT: either 2-of-2 of you and seller, OR 2-of-2 of you and escrow, OR 2-of-2 of escrow and seller. Fortunately, Taproot adds a facility to embed a SCRIPT inside a public key, so you can have a 2-of-2 Taprooted address (between you and seller) with a SCRIPT branch that can instead be spent with 2-of-2 (you + escrow) OR 2-of-2 (seller + escrow), which implements the three-branched SCRIPT above. If neither of you are scammers (hopefully the common case) then you both sign using your keys and never have to contact the escrow, since you are just using the escrow public key without coordinating with them (because n-of-n is trivial but k-of-n requires setup with communication rounds), so in the "best case" where both of you are honest traders, you also get a privacy boost, in that the escrow never learns you have been trading on gewgaws, I mean ewww, gawgews are much better than gewgaws and therefore I now judge you for being a gewgaw enthusiast, you filthy gewgawer).

Taproot and Your Contracts, Part 2: Cryptographic Boogaloo

Now suppose you want to buy some data instead of things. For example, maybe you have some closed-source software in trial mode installed, and want to pay the developer for the full version. You want to pay for an activation code.
This can be done, today, by using an HTLC. The developer tells you the hash of the activation code. You pay to an HTLC, paying out to the developer if it reveals the preimage (the activation code), or refunding the money back to you after a pre-agreed timeout. If the developer claims the funds, it has to reveal the preimage, which is the activation code, and you can now activate your software. If the developer does not claim the funds by the timeout, you get refunded.
And you can do that, with HTLCs, today.
Of course, HTLCs do have problems:
Fortunately, with Schnorr (which is enabled by Taproot), we can now use the Scriptless Script constuction by Andrew Poelstra. This Scriptless Script allows a new construction, the PTLC or Pointlocked Timelocked Contract. Instead of hashes and preimages, just replace "hash" with "point" and "preimage" with "scalar".
Or as you might know them: "point" is really "public key" and "scalar" is really a "private key". What a PTLC does is that, given a particular public key, the pointlocked branch can be spent only if the spender reveals the private key of the given private key to you.
Another nice thing with PTLCs is that they are deniable. What appears onchain is just a single 2-of-2 signature between you and the developemanufacturer. It's like a magic trick. This signature has no special watermarks, it's a perfectly normal signature (the pledge). However, from this signature, plus some datta given to you by the developemanufacturer (known as the adaptor signature) you can derive the private key of a particular public key you both agree on (the turn). Anyone scraping the blockchain will just see signatures that look just like every other signature, and as long as nobody manages to hack you and get a copy of the adaptor signature or the private key, they cannot get the private key behind the public key (point) that the pointlocked branch needs (the prestige).
(Just to be clear, the public key you are getting the private key from, is distinct from the public key that the developemanufacturer will use for its funds. The activation key is different from the developer's onchain Bitcoin key, and it is the activation key whose private key you will be learning, not the developer's/manufacturer's onchain Bitcoin key).
So:
Taproot lets PTLCs exist onchain because they enable Schnorr, which is a requirement of PTLCs / Scriptless Script.
(technology-wise, take note that Scriptless Script works only for the "pointlocked" branch of the contract; you need normal Script, or a pre-signed nLockTimed transaction, for the "timelocked" branch. Since Taproot can embed a script, you can have the Taproot pubkey be a 2-of-2 to implement the Scriptless Script "pointlocked" branch, then have a hidden script that lets you recover the funds with an OP_CHECKLOCKTIMEVERIFY after the timeout if the seller does not claim the funds.)

Quantum Quibbles!

Now if you were really paying attention, you might have noticed this parenthetical:
(technical details: a Taproot output is 1 version byte + 32 byte public key, while a P2WPKH (bech32 singlesig) output is 1 version byte + 20 byte public key hash...)
So wait, Taproot uses raw 32-byte public keys, and not public key hashes? Isn't that more quantum-vulnerable??
Well, in theory yes. In practice, they probably are not.
It's not that hashes can be broken by quantum computes --- they're still not. Instead, you have to look at how you spend from a P2WPKH/P2PKH pay-to-public-key-hash.
When you spend from a P2PKH / P2WPKH, you have to reveal the public key. Then Bitcoin hashes it and checks if this matches with the public-key-hash, and only then actually validates the signature for that public key.
So an unconfirmed transaction, floating in the mempools of nodes globally, will show, in plain sight for everyone to see, your public key.
(public keys should be public, that's why they're called public keys, LOL)
And if quantum computers are fast enough to be of concern, then they are probably fast enough that, in the several minutes to several hours from broadcast to confirmation, they have already cracked the public key that is openly broadcast with your transaction. The owner of the quantum computer can now replace your unconfirmed transaction with one that pays the funds to itself. Even if you did not opt-in RBF, miners are still incentivized to support RBF on RBF-disabled transactions.
So the extra hash is not as significant a protection against quantum computers as you might think. Instead, the extra hash-and-compare needed is just extra validation effort.
Further, if you have ever, in the past, spent from the address, then there exists already a transaction indelibly stored on the blockchain, openly displaying the public key from which quantum computers can derive the private key. So those are still vulnerable to quantum computers.
For the most part, the cryptographers behind Taproot (and Bitcoin Core) are of the opinion that quantum computers capable of cracking Bitcoin pubkeys are unlikely to appear within a decade or two.
So:
For now, the homomorphic and linear properties of elliptic curve cryptography provide a lot of benefits --- particularly the linearity property is what enables Scriptless Script and simple multisignature (i.e. multisignatures that are just 1 signature onchain). So it might be a good idea to take advantage of them now while we are still fairly safe against quantum computers. It seems likely that quantum-safe signature schemes are nonlinear (thus losing these advantages).

Summary

I Wanna Be The Taprooter!

So, do you want to help activate Taproot? Here's what you, mister sovereign Bitcoin HODLer, can do!

But I Hate Taproot!!

That's fine!

Discussions About Taproot Activation

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How far cryptography skills allows you to gain more money?

Hello, I have been wondering whether skills in cryptography allows someone to gain more money from the cryptocurrency world. Are math skills beneficial in cryptocurrency mining math puzzles? Are there pathways other than cryptocurrency mining which are profitable for someone with mathematical skills?
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From Conspiracy to Fact: An analysis of the COVID-19 Pandemic, Information Control, and the New World Order (Appendix includes hundreds of citations) - PART 1

UPDATE: This article is now available as a printable PDF with embedded hyperlinks for navigation through sources. This link will be valid thru July 9: https://ufile.io/4mpkg4x6

PLEASE NOTE: This article may be updated periodically with new information and links as they become available. All referenced information and a whole lot more is indexed and linked in the related appendix posts. Please feel free to crosspost, share, and take from my ideas to build your own. Namaste.
Part 1 | Part 2 | Appendix A | Appendix B

Hello. My name is Chris. I am nobody, really. An average citizen. I am an overweight 42 year old white male from the Midwestern suburbs of the US who has been fortunate enough to live a pretty comfortable life. I used to be a freelance graphic designer with a focus on small businesses, but I'm coming to terms with the fact that that career and part of my life is more than likely over in light of current events. Oh well, it was fun while it lasted.
I've always been concerned about social injustice and tried to stay politically informed, even dabbling in some activism here and there. At times I've stepped away from paying attention for my own mental health, or due to laziness, defeatism, whatever. But I've never stopped caring, or trying, to fight the good fight and do the right thing.
The news recently has of course swept us all up, and touched all our lives in some way or another. The world has never seen anything like the "Coronavirus Pandemic," and it's clear that our society will be changed forever when we finally come out the other end of this mess. But I've had the luxury of time recently, and in reading the news about things that were going on, I couldn't help but notice the patterns, and that a lot of stuff didn't exactly make sense.
So, here we go, with the "conspiracy theory."
I hate that term, because although it's technically accurate, it's been demonized and weaponized by the media and society at large to take on a bad connotation. Tinfoil hats, alien abductions, crazy people muttering to themselves, etc. You've no doubt got a lot of images in your mind of a conspiracy theorist.
And make no mistake, what I'm going to tell you here is all currently very popular conspiracy theory. However, I think that by removing opinions and conjecture from it, and focusing on facts and things that have already happened, I can present this huge amount of overwhelming, disparate information in a way that makes it less a "theory" and more a "research project." And so that is how I have approached this.
I have spent the last week doing little else besides reading every news and opinion article I could find, saving and organizing hundreds of links, and assembling a coherent, logical outline to organize and present these theories, and more importantly, facts. There are a lot of less-than-reputable sites and publications out there, and I have tried when at all possible to provide sources from verifiable news sites, with a wide range of slants and focuses, to illustrate that what is happening is not part of any one particular political agenda.
I hope that you take the time to check the links, really look into the information presented here, and form your own opinions. Please do not just take my word for it. To that end, there are also a few links mixed in that are labeled as having come from conspiracy. These are well-written and well-reasoned posts from other concerned citizens that I think are worth reading, and relevant to the discussion here.
One last thing - If you are new to most of these ideas, the information presented here is more than likely going to seem overwhelming at first. I encourage you now, and always, to take mental health breaks for yourself, and put down your phone or turn off your computer. The information will be here when you come back. And as you'll soon understand, what is happening is an unstoppable tide, truly a force of nature at this point, and there is nothing you can do to fight it, so try your hardest to relax, put on some chill music, hug your dog, and most of all...
BREATHE.
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If you start researching conspiracy theory, you're going to find a lot of information. Some much better or worse presented than others, and some much more plausible or unbelievable than others. Despite the seeming ridiculousness of some things you might read, I encourage you to always approach new information with an open mind.
That said though, I have one main principle that guides all my beliefs about conspiracy theories, and that is the "Filter of Likelihood." Essentially, you have to ask yourself how possible, how likely, and how feasible a piece of information is. Furthermore, you need to ask yourself what the motivation would be. In many cases, it's quite easy to see how something makes a lot of sense based on other known info, whereas some theories seem rather implausible no matter how you look at it.
I am interested only in the plausible, and where possible, the already actualized. Additionally, there's a lot to be said, and a lot that has already been written on many of these topics, so I will focus on current events and simple concepts.
I will also ask you to open your mind to possibility. Please consider this as you evaluate new information:
  1. Do you believe there are things going on in the world that you don't know about yet?
  2. Do you believe that there is technology and science you've never heard of?
  3. Do you believe that society is progressing at an increasing rate?
  4. Do you believe that as populations grow, we require new societal strategies?
  5. Do you believe that those with power and money want to retain their power and money?
Of course you believe all these things, and none of these are wild or unusual concepts. Rather, these are very basic concepts that apply to everyone, and always have. They are all part of our shared human experience, and undeniable facts of life. Populations grow, societies evolve, technology advances, and the world changes. And most important to our discussion here, people, families, and empires constantly jockey for power and control, while fighting for resources, power, fame, and...
MONEY.
We all hate TicketMaster, right? Who do they think they are, what the hell is this bullshit "service fee," etc. It's something everyone can get behind. But did you know that TicketMaster willingly cultivates that image? That venues, teams, and artists, in their pursuit of more money, raise fees and then let TicketMaster be the bad guy and take the heat so their reputations remain intact?
There are many more people, organizations, and other entities in the world playing that same role for those who really have the money, who really call the shots. And those who call the shots work very hard and spend absolutely unfathomable amounts of money, time, and blood, to make sure that you don't ever realize who's actually taking your money.
They do this in the simplest, easiest way. If you simply control information from the top down, and disseminate it when and where you see fit, you can effect great societal change without lifting a finger.
Please imagine... really, try to imagine... You just read an article, saw a video, whatever, from a very, very reputable source. And it just informed you that an asteroid was 83% likely to impact the Earth next month. What would you do? What would happen in the world?
Hopefully an asteroid will not hit next month, but it's important to really imagine what would happen and why, and how. Because a huge amount of information would be generated and published, people would panic, society would crumble, and the world as you know it would change forever in an instant, the moment you read that headline.
Control of information is one of the most powerful tools known to mankind today. A person living in 2020 can easily encounter as much information in a day as someone in Medieval times might have encountered in a lifetime. And it comes at you from all angles, in all forms, non-stop, 24/7. Much like the water in the pipe, the information is always there, and one needs but turn it on.
Disseminating the information then becomes a practice all its own, and to be sure, information processing accounts for more than half of the US GDP. And the rate at which it's spread, and way it is handled makes a huge difference in the societal repercussions. So a few different techniques are used:
It might be the greatest understatement of all time to say that there has been a lot of information passed around about COVID-19, the "Coronavirus," recently. In fact, there has never been anything like what we are currently experiencing in all of human history, and not by a long shot. And this unprecedented turn of events has caused a lot of people to react in a lot of ways, and say and do a lot of things, for better or for worse.
Full disclosure: In particular, if you look up conspiracy theory, you'll see a lot of stuff suggesting that the "Coronavirus is a hoax." (You'll also find a lot of poorly-written rambling) I want to be clear that I DO NOT believe that. I am 100% sure that there is a Coronavirus, that it is making people sick, that a lot of people are dying, and that our medical professionals and many other undervalued workers are overwhelmed, and breaking their backs every day to do their best to keep their friends, families, and loved ones safe. I am extraordinarily grateful for them and admire the resolve and bravery that so many have shown in the face of this disaster. I do not think it is a hoax at all.
However, I think that literally everything else that is happening surrounding the "pandemic" is.
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The Pandemic
In the first week of January this year, I got sick. Really sick. I know when I got it and who I got it from, and honestly the exact moment I got it (I only was in proximity of the dude for a few minutes). He had warned me that he was really sick, and I blew it off. I started feeling sick a day or two later, and a day or two after that I felt like I was dying. Fever, chills, aches, extraordinary fatigue. And literal, nonstop, 24/7 coughing. I had every single symptom of what we now know as COVID-19. I commented to anyone who would listen that I didn't recall ever feeling that sick before in my entire life. The most memorable part of it though was that after a couple days, I completely lost my sense of smell and taste. Joked a lot about how you could feed me onions and soap cause I'd have no idea. I try to have a good attitude about being sick.
I spent a week sleeping on the couch before I finally went to the doctor. She gave me a Prednisolone steroid pack (which has worked well for me in the past), some Trazodone to knock me out, and Benzonatotate for my cough. As soon as I took the first dose of steroids I started to feel pretty fucking great, and it was more or less a non-issue after that.
I spoke to a lot of people about it then and after, and man, I can't tell you how many stories I personally heard from people I know that said the exact same thing. Then I started reading the same story over and over again on Reddit:
We didn't start really hearing about the Coronavirus in the media until the beginning of March, and we didn't hear about the "Pandemic" until just a couple weeks ago. And what a couple weeks it's been since then. But I am quite certain that it's been around for a lot longer and that I, and a lot of other people I know, had it - and DID NOT DIE FROM IT - way back in January.
We now know that the first documented case in the US was on January 19th, but that word "documented" is so, so important here. That means that we had identified the virus, developed a test, and tested a person with the symptoms that day. It does NOT mean that was when the virus reached the United States. How sick do you have to be before you take a day off work? Before you go to the doctor? With America's healthcare system or lack thereof, it's almost certain that many people had this virus before we determined what it was, and how infectious it really was.
There is also the matter of the statistics of severity vs the regular flu. This is a highly contentious topic and I am no medical expert, and do not wish to make any assertions. However, what I can tell you from my personal experience is this: I had a horrible "flu" in January, got basic medicine, got better. So, either I had the flu, or perhaps I did indeed have the Coronavirus.
We will never know because I was never tested. But the important thing is that it doesn't matter. Either I (and many others) had the Coronavirus and it did not kill us (calling into question the severity of the infection) or we just had a bad cold or flu, but it had the exact same symptoms as COVID-19 (calling into question the extent of Coronavirus diagnoses). But logically, one of those two statements is true.
Furthermore, the data keeps changing, and I don't mean increasing on a daily basis. I mean up and down, back and forth, it is deadly or maybe it isn't, etc. On January 14 the WHO told you it couldn't spread from human to human. But then on Jan 19 we saw the first case of Coronavirus in the United States. Then it turns out that the Wuhan market outbreak began earlier in December. And then it's an "epidemic," but most people will only get mild symptoms. What are you supposed to believe? And it sure does seem to come at you as a firehose, and it's hard to even think about anything because OHMYGODTHECORONAVIRUS!
But let's stop and look a couple basic facts. As a matter of fact, I'm going to let Dr. Sucharit Bhakdi explain this one to you. This is a very informative 10 minute video, watch it:
Sucharit Bhakdi - Very clear math showing that the COVID statistics are being manipulated
So 80% of people only experience mild symptoms, and we're crashing the economy for this? The statistics aren't any more extreme than many other illnesses we've had over time, and we're crashing the economy for this? It doesn't make sense until you consider that there are other factors besides just the virus at play.
Wolfgang Wodard - Explaining how the statistics are being manipulated to cause panic
The media, and society at large is inundating you with terrifying information about the Coronavirus. But if it's not as bad as we originally thought, then why? We don't freak out about every illness that comes along, and we've certainly never in the history of civilization had over 1/3 of the global population locked down under mandatory quarantine.
And then there's the debate about where the virus came from. We believe it came from a meat market in China, under unsanitary conditions. The science behind a coronavirus making the leap from one species to another is well-established and researched, and it is a very likely scenario. There are also conspiracy theories that state that China released it on its people intentionally, or even that the US military released it in China. Again, we will never know exactly where this Coronavirus came from. It may be natural, it may be man made, and there are very plausible paths for both. I don't know what to believe myself. So here I ask you to make your own judgement based on likelihood.
What we do know though is that the state of the world this virus has been unleashed on has played a major factor in its spread. In 1950 the global population was 2.5 billion, and that has exploded to almost 8 billion people in 2020. As a matter of fact, population growth has been exponential since about the time of the Industrial Revolution.
With all these people on the planet there are sure to be many disagreements and conflicts, and there indeed have been. As a matter of fact, 2019 saw global protests on an unprecedented scale, in Hong Kong, France, Syria, and many other countries. Citizens have literally been fighting police and military with rocks, clubs, arrows, and molotov cocktails.
Did you know that? Despite my seeing headlines and pictures every day of the riots in Hong Kong, I have been shocked to learn that multiple of my close friends, intelligent and aware people, had no knowledge whatsoever of the protests even existing. But that is far from a coincidence; rather, it is quite by design.
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Billionaires and Coincidences
Another major talking point over the last 5 to 10 years has been the "1%" - the handful of super-rich individuals who posess and control the vast majority of the Earth's wealth and resources. Where it used to just be a numerical term, "Billionaire" is now a dirty word, and one of the nastiest. We all hate billionaires. They are evil, and profit off the exploitation of the rest of the world.
The "Illuminati" we call them, in pursuit of a "New World Order." Crazy stuff, right? Mysterious symbols and people in black robes doing nefarious things in secret meetings, and running the world from behind the scenes. We love the Illuminati, it's a huge pop culture thing now. The subject of endless speculation, they are made fun of in the media, movies, and now Taco Bell commercials. It's so far fetched it could never really be true. And the fact that you think that is by design as well.
So, we don't know where the Coronavirus came from, but it's certainly here, and there are lot of other things unfolding in the world around it. Many different current events from all different places and fields of study. Some of it seems a little too coincidental. It is certainly very coincidental that this economically destructive Coronavirus entered the world right as there were global uprisings, protests in the street, and a growing public hatred for billionaires.
Well, here are a few other coincidences: Hundreds of CEOs of major companies stepped down from their positions in recent months. Multiple US Senators sold stock right before the market crashed. Even the boss of the New York Stock Exchange sold his own stock right before the crash. Did they know something they weren't telling us?
Here's another coincidence. In 2010, The Rockefeller Foundation published a selection of future-predicting scenarios in the name of "exploring the ways that technology and development could co-evolve." One of these four scenarios, entitled "Lock Step," eerily predicts a global viral pandemic and the resulting hypothetical consequences, which almost exactly mirrors the COVID-19 pandemic we are in the midst of today.
Also coincidental: The first case of COVID-19 was diagnosed in China on November 17th, 2019. Literally one month earlier, The Johns Hopkins Center for Health Security in partnership with the World Economic Forum and the Bill and Melinda Gates Foundation hosted Event 201, a high-level pandemic exercise on October 18, 2019, in New York, NY. In this exercise, they discuss the potential implications and consequences of a novel Coronavirus, including an economic crash, martial law, and of particular interest, the control of information. (You can view some published highlights here)
The World Economic Forum is comprised of the richest of the rich. The 1%. The Billionaires. CEO's, politicians, business owners, and many other powerful and influential figures. They meet regularly to discuss topics of global concern, and strongly control the dissemination of information. And of primary concern to many of them is maintaining their wealth and power in a rapidly-changing world.
And finally, here's one more coincidence: At the exact same time as the Event 201 exercise, The World Military Games was held in Wuhan, China, Oct 18-27, 2019. It was the largest military sports event ever to be held in China, with nearly 10,000 athletes from over 100 countries competing in 27 sports. Wuhan China was, as we now believe, the source of our current global COVID-19 outbreak.
Whether you think it is a "conspiracy" or not, that is all certainly coincidental, to say the least.
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"Why didn't I hear about any of this?"
That's an excellent question, and one that likely has multiple answers. For starters, how much do you really pay attention? Where do you get your news from? Do you research things you hear or just accept them on hearsay? Critical thinking skills are paramount in making sense of the chaos unfolding all around us.
As I mentioned before, I can tell you that I personally know multiple people who had no clue whatsoever about the riots in Hong Kong last year. As you read this, you may be one of them. And it may seem like something that is happening far away, and "could never happen here." Or you may have been aware of it but just that it was happening. But please, consider for a moment: millions of average citizens risked their lives and safety in the streets of Hong Kong for months on end, fighting police and military, and transforming the city they lived in into a warzone. WHY? Why would people do something like that? Regardless of their motivations, that many people were banding together to fight for something they believed in. And that is worth considering.
It's not really your fault though that you may not catch wind of all this news. The "mainstream media" that you hear about all the time deliberately controls information - downplaying threats and overreacting to silly things - in order to make sure that you hear the version of the news that they want you to hear.
Did you know that only 6 corporations control 90% of the media In America? That number is reduced from 50 companies in the 80's. And literally all the news you see on TV, at the very least, is 100% owned and controlled by these companies. Lately, distrust is growing for cable news networks, and many people turn to their local hometown station for trusted news. The problem with that though is that your hometown station is probably owned by Sinclair Media, one of the most powerful broadcast networks in the country that you've never heard of.
Please watch this very brief video, illustrating the chokehold that Sinclair Media maintains over your nightly local news broadcast: https://www.youtube.com/watch?v=hWLjYJ4BzvI
Of course, not every piece of news is pre-programmed but a lot is. The real news is out there, but sometimes you have to look a little deeper than the infographics on TV news. Even if information is being directed from the top down, the boots on the ground tend to be passionate people with a variety of interests and agendas, and they are still doing their best to do real journalism despite corporate oversight.
Think of those who are directing the information as steering an impossibly massive ship with a rudder. You can slowly adjust the course of direction, however it is slow to react. If you want to stop, you have to start thinking about stopping wayyy ahead of time. And similarly, once it gets underway, it is then influenced by an inertia all its own. Micro controls and adjustments aren't really possible.
Our society is this giant ship. There are 8 billion people on this earth - that is 8000 million. An incomprehensible number that grows rapidly every day. As civilization grows and advances, so does our medicine, our technology, our cultural norms. These are all natural processes that are necessary to manage an increasing number of societies all around the globe. And many of the advances we're making have exciting potential benefits for humanity, although as with all tools, they also inherently possess the potential for abuse.
Here are some other things happening in society right now, some you may be aware of and many you may not:
There is an interesting chicken or egg relationship between science fiction and real world science. Sci-fi writers are inspired by the real science of the day, then they apply their creativity to imagine what might be in the future. Young scientists encounter these fantastical ideas and think they are worth pursuing, and then set about to make them a reality, and the cycle continues.
Futuristic concepts are then preempted and introduced through the media to the conscious mind, as we include them in books, movies, TV, video games, and more. Eventually we start seeing headlines of these new technologies and developments happening in other places, usually Japan and China first due to their prevalence in the industrial and technological sectors of our global economy.
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Continue to Part 2

submitted by SquarePeg37 to conspiracy [link] [comments]

LF fics with unusual methods of world domination

We've all seen the guns vs spells debate. But there are other ways to power.
For example, what if some crafty Ravenclaw enchanted a piece of paper to instantly solve math problems written on it? By itself not a big deal, but what if it could do instant magic prime factorization on really large numbers?
Make a bunch of them, put them into printers/scanners and you have a system capable of breaking most digital cryptography systems in use. Bitcoins? All yours. Encrypted emails? Easily cracked. Passwords transmitted over the internet? You got them. Hire a few tech savvy guys and within a short timeframe you could have access to computer systems deciding elections and managing billions in money. Without anyone realizing that anything is wrong. And if anyone does bother you you can listen in on everything they say and do. Voldemort could only dream of that kind of power.
submitted by 15_Redstones to HPfanfiction [link] [comments]

The Intellectual Foundation of Bitcoin比特幣的智識基礎. By Chapman Chen, HKBNews

The Intellectual Foundation of Bitcoin比特幣的智識基礎. By Chapman Chen, HKBNews

https://preview.redd.it/w6v3l8n3zxu41.jpg?width=2551&format=pjpg&auto=webp&s=fb0338a36a1a321d3781f43ff5eb6929d8b92edc
Summary: Bitcoin was invented by the anonymous Satoshi Nakamoto as recently as 2008, but it is backed up by a rich intellectual foundation. For instance, The 1776 First Amendment separates church and state, and contemporary American liberation psychologist Nozomi Hayase (2020) argues that money and state should similarly be separated. Just as Isaac Newton’s study of alchemy gave rise to the international gold standard, so has the anonymous creator Satoshi Nakamoto's desire for a “modernized gold standard” given rise to Bitcoin. Indeed, Bloomberg's 2020 report confirms Bitcoin to be gold 2.0. Montesquieu (1774) asserted that laws that secure inalienable rights can only be found in Nature, and the natural laws employed in Bitcoin include its consensus algorithm and the three natural laws of economics (self-interest, competition, and supply and demand). J.S. Mill (1859) preferred free markets to those controlled by governments. Ludwig von Mises (1951) argued against the hazards of fiat currency, urging for a return to the gold standard. Friedrich Hayek (1984) suggested people to invent a sly way to take money back from the hands of the government. Milton Friedman (1994) called for FED to be replaced by an automatic system and predicted the coming of a reliable e-cash. James Buchanan (1988) advocated a monetary constitution to constrain the governmental power of money creation. Tim May (1997) the cypherpunk proclaimed that restricting digital cash impinges on free speech, and envisioned a stateless digital form of money that is uncensorable. The Tofflers (2006) pictured a non-monetary economy. In 2016, UCLA Professor of Finance Bhagwan Chowdhry even nominated Satoshi for a Nobel Prize.
Full Text:
Separation between money and state
The 1791 First Amendment to the U.S. Constitution enshrines free speech and separates church and state, but not money and state. "Under the First Amendment, individuals’ right to create, choose their own money and transact freely was not recognized as a part of freedom of expression that needs to be protected," Japanese-American liberation psychologist Nozomi Hayase (2020) points out (1).
The government, banks and corporations collude together to encroach upon people's liberties by metamorphosing their inalienable rights into a permissioned from of legal rights. Fiat currencies function as a medium of manipulation, indulging big business to generate market monopolies. "Freedom of expression has become further stifled through economic censorship and financial blockage enacted by payment processing companies like Visa and MasterCard," to borrow Hayase's (2020) words.
Satoshi is a Modern Newton
Although most famous for discovering the law of gravity, Isaac Newton was also a practising alchemist. He never managed to turn lead into gold, but he did find a way to transmute silver into gold. In 1717, Newton announced in a report that, based on his studies, one gold guinea coin weighed 21 shillings. Just as Isaac Newton’s study of alchemy gave rise to the international gold standard, so has the desire for a “modernized gold standard” given rise to Bitcoin. "In a way, Satoshi is a modern Newton. They both believed trust is best placed in the unchangeable facets of our economy. Beneath this belief is the assumption that each individual is their own best master," as put by Jon Creasy (2019) (2).
J.S. Mill: free markets preferable to those controlled by governments
John Stuart Mill (1806-1873) the great English philosopher would be a Bitcoiner were he still around today. In On Liberty (1859), Mill concludes that free markets are preferable to those controlled by governments. He argues that economies function best when left to their own devices. Therefore, government intervention, though theoretically permissible, would be counterproductive. Bitcoin is precisely decentralized or uncontrolled by the government, unconfiscatable, permissonless, and disinflationary. Bitcoin regulates itself spontaneously via the ordinary operations of the system. "Rules are enforced without applying any external pressure," in Hayase's (2020) words.
Ludwig von Mises (1958): Liberty is always Freedom from the Government
In The Free Market and its Enemies, theoretical Austrian School economist Ludwig von Mises (1951) argues against the hazards of fiat currency, urging for a return to the gold standard. “A fiat money system cannot go on forever and must one day come to an end,” Von Mises states. The solution is a return to the gold standard, "the only standard which makes the determination of the purchasing power of money independent of the changing ideas of political parties, governments, and pressure groups" under present conditions. Interestingly, this is also one of the key structural attributes of Bitcoin, the world’s first, global, peer-to-peer, decentralized value transfer network.
Actually, Bloomberg's 2020 report on Bitcoin confirms that it is gold 2.0. (3)
Von Mises prefers the price of gold to be determined according to the contemporaneous market conditions. The bitcoin price is, of course, determined across the various global online exchanges, in real-time. There is no central authority setting a spot price for gold after the which the market value is settled on among the traders during the day.
Hayek: Monopoly on Currency should End
Austrian-British Nobel laureate Friedrich Hayek’s theory in his 1976 work, Denationalization of Money, was that not only would the currency monopoly be taken away from the government, but that the monopoly on currency itself should end with multiple alternative currencies competing for acceptance by consumers, in order "to prevent the bouts of acute inflation and deflation which have played the world for the past 60 years." He forcefully argues that if there is no free competition between different currencies within any nation, then there will be no free market. Bitcoin is, again, decentralized, and many other cryptocurrencies have tried to compete with it, though in vain.
In a recently rediscovered video clip from 1984, Hayek actually suggested people to invent a cunning way to take money out of the hands of the government:- “I don’t believe we shall ever have a good money again before we take the thing out of the hands of government, that is, we can’t take them violently out of the hands of government, all we can do is by some sly roundabout way introduce something they can’t stop” (4). Reviewing those words 36 years hence and it is difficult not to interpret them in the light of Bitcoin.
Milton Friedman Called for FED to be Replaced by an Automatic System
Nobel laureate economist Milton Friedman (1994) was critical of the Federal Reserve due to its poor performance and felt it should be abolished (5). Friedman (1999) believed that the Federal Reserve System should ultimately be replaced with a computer program, which makes us think of the computer code governing Bitcoin (6).[\](https://en.wikipedia.org/wiki/Criticism_of_the_Federal_Reserve#cite_note-:2-12) He (1970) favored a system that would automatically buy and sell securities in response to changes in the money supply. This, he argued, would put a lid on inflation, setting spending and investment decisions on a surer footing (7). Bitcoin is exactly disflationary as its maximum possible supply is 21 million and its block reward or production rate is halved every four years.
Friedman passed away before the coming of bitcoin, but he lived long enough to see the Internet’s spectacular rise throughout the 1990s. “I think that the Internet is going to be one of the major forces for reducing the role of government," said Friedman in a 1999 interview with NTU/F. On the same occasion, he sort of predicted the emergence of Bitcoin, "The one thing that’s missing, but that will soon be developed, is a reliable e-cash, a method whereby on the Internet you can transfer funds from A to B, without A knowing B or B knowing A." (8)
Of course, Friedman didnt predict the block chain, summed up American libertarian economist Jeffery Tucker (2014). “But he was hoping for a trustless system. He saw the need. (9).
Bitcoin Computer Code as Constitution in the Buchananian Sense
American economist cum Nobel laureate James Buchanan (1988) advocates constitutional constraints on the governmental power to create money (10). Buchanan distinguishes a managed monetary system—a system “that embodies the instrumental use of price-level predictability as a norm of policy”—from an automatic monetary system, “which does not, at any stage, involve the absolute price level” (Buchanan 1962, 164–65). Leaning toward the latter, Buchanan argues that automatic systems are characterized by an organization “of the institutions of private decision-making in such a way that the desired monetary predictability will emerge spontaneously from the ordinary operations of the system” (Buchanan 1962, 164). Again, "Bitcoin regulates itself through the spontaneous force of nature, flourishing healthy price discovery and competition in the best interest of everyone" (Hayase 2020).
Shruti Rajagopalan (2018) argues that the computer code governing how the sundry nodes/computers within the Bitcoin network interact with one another is a kind of monetary constitution in the Buchananian sense. One of Buchanan's greatest inputs is to differentiate the choice of rules from the choice within rule (Buchanan 1990). One may regard the Bitcoin code as a sort of constitution and "the Bitcoin network engaging in both the choice of rules and choice within rules" (Rajagopalan 2018) (11).
Tim May: Restricting Digital Cash may Impinge on Free Speech
Cypherpunks are activists who since the 1980s have advocated global use of strong cryptography and privacy-enhancing technologies as a route to social and political liberation. Tim May (Timothy C. May [1951-2018]), one of the influential cypherpunks published The Crypto Anarchist Manifesto in September 1992, which foretold the coming of Bitcoin (12). Cypherpunks began envisioning a stateless digital form of money that cannot be censored and their collaborative pursuit created a movement akin to the 18th Enlightenment.
At The 7th Conference on Computers, Freedom, and Privacy, Burlingame, CA. in 1997, Tim May equated money with speech, and argued that restricting digital cash may impinge on free speech, for spending money is often a matter of communicating orders to others, to transfer funds, to release funds, etc. In fact, most financial instruments are contracts or orders, instead of physical specie or banknotes (13).
Montesquieu: Laws that secure inalienable rights can only be found in Nature
In his influential work The Spirit of Laws (1748), Montesquieu wrote, “Laws ... are derived from the nature of things … Law, like mathematics, has its objective structure, which no arbitrary whim can alter". Similarly, once a block is added to the end of the Bitcoin blockchain, it is almost impossible to go back and alter the contents of the block, unless every single block after it on the blockchain is altered, too.
Cypherpunks knew that whereas alienable rights that are bestowed by law can be deprived by legislation, inalienable rights are not to be created but can be discovered by reason. Thus, laws that secure inalienable rights cannot be created by humankind but can be found in nature.
The natural laws employed in Bitcoin to enshrine the inalienable monetary right of every human being include its consensus algorithm, and the three natural laws of economics (self-interest, competition, and supply and demand) as identified by Adam Smith, father of modern economics.
Regarding mathematics, bitcoin mining is performed by high-powered computers that solve complex computational math problems. When computers solve these complex math problems on the Bitcoin network, they produce new bitcoin. And by solving computational math problems, bitcoin miners make the Bitcoin payment network trustworthy and secure, by verifying its transaction information.
Regarding economic laws, in accordance with the principle of game theory to generate fairness, miners take part in an open competition. Lining up self-interests of all in a network, with a vigilant balance of risk and rewards, rules are put in force sans the application of any exterior pressure. "Bitcoin regulates itself through the spontaneous force of nature, flourishing healthy price discovery and competition in the best interest of everyone," to borrow the words of Hayase (2020).
A Non-monetary Economy as Visualized by the Tofflers
In their book, Revolutionary Wealth (2006), futurists Alvin Toffler and his wife Heidi Toffler toy with the concept of a world sans money, raising a third kind of economic transaction that is neither one-on-one barter nor monetary exchange. In the end, they settle on the idea that the newer non-monetary economy will exist shoulder-to-shoulder with the monetary sector in the short term, although the latter may eventually be eclipsed by the former in the long run. What both the Tofflers' The Third Wave (1980) and Revolutionary Wealth bring into question is the very premise of monetary exchange. The vacuum left over by cash in such a non-monetary economy may be filled up by Bitcoin as a cryptocurrency.
Satoshi Nakamoto Nominated for Nobel Prize by UCLA Finance Prof.
UCLA Anderson School Professor of Finance Bhagwan Chowdhry nominated Satoshi Nakamoto for the 2016 Nobel Prize in Economics on the following grounds:-
It is secure, relying on almost unbreakable cryptographic code, can be divided into millions of smaller sub-units, and can be transferred securely and nearly instantaneously from one person to any other person in the world with access to internet bypassing governments, central banks and financial intermediaries such as Visa, Mastercard, Paypal or commercial banks eliminating time delays and transactions costs.... Satoshi Nakamoto’s Bitcoin Protocol has spawned exciting innovations in the FinTech space by showing how many financial contracts — not just currencies — can be digitized, securely verified and stored, and transferred instantaneously from one party to another (14).
Fb link: https://www.facebook.com/hongkongbilingualnews/posts/947121432392288?__tn__=-R
Web link: https://www.hkbnews.net/post/the-intellectual-foundation-of-bitcoin%E6%AF%94%E7%89%B9%E5%B9%A3%E7%9A%84%E6%99%BA%E8%AD%98%E5%9F%BA%E7%A4%8E-by-chapman-chen-hkbnews
Disclaimer: This article is neither an advertisement nor professional financial advice.
End-notes
  1. https://bitcoinmagazine.com/articles/bitcoin-is-the-technology-of-dissent-that-secures-individual-liberties
  2. https://medium.com/hackernoon/why-sir-isaac-newton-was-the-first-bitcoin-maximalist-195a17cb6c34
  3. https://data.bloomberglp.com/professional/sites/10/Bloomberg-Crypto-Outlook-April-2020.pdf
  4. https://www.youtube.com/watch?v=EYhEDxFwFRU&t=1161s
  5. https://www.youtube.com/watch?v=m6fkdagNrjI
  6. http://youtu.be/mlwxdyLnMXM
  7. https://miltonfriedman.hoover.org/friedman_images/Collections/2016c21/IEA_1970.pdf
  8. https://www.youtube.com/watch?v=6MnQJFEVY7s
  9. https://www.coindesk.com/economist-milton-friedman-predicted-bitcoin
  10. https://www.aier.org/research/prospects-for-a-monetary-constitution/
  11. https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3238472
  12. https://www.activism.net/cypherpunk/crypto-anarchy.html
  13. http://osaka.law.miami.edu/~froomkin/articles/tcmay.htm
  14. https://www.huffpost.com/entry/i-shall-happily-accept-th_b_8462028
Pic credit: Framingbitcoin
#bitcoin #bitcoinhalving #jamesBuchanan #MiltonFriedman #AlvinToffler #FirstAmendment #LudwigVonMises #TimMay #freeMarket # SatoshiNakamoto #FriedrichHayek #Cypherpunk #Cryptocurrency #GoldStandard #IsaacNewton
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[Part - 31] Large college ebooks/eTextbooks thread for cheap rates [$4 to $25]

  1. American Government and Politics Today 2017-2018 Edition: The Essentials
  2. Algorithmic diagnosis of signs and symptoms
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  5. Auditing & Assurance Services 7th Edition by Louwers
  6. AIDS: The Biological Basis 6th Edition
  7. Advertising: Concept and Copy 3E
  8. Analyzing Text and Discourse: Eight Approaches for the Social Sciences
  9. A Few Lessons for Investors and Managers From Warren Buffett – Peter Bevelin
  10. Applied Logistic Regression 3rd Edition
  11. American History: Connecting with the Past Volume 2 From 1865 15th Edition
  12. Accidental Orientalists: Modern Italian Travelers in Ottoman Lands
  13. Accounting for Non Specialists 7th Australian Edition - Test Bank
  14. Abnormal Psychology: An Integrative Approach 5th Canadian Edition
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  25. Art History 6th Edition by Marilyn Stokstad
  26. Archaeology Essentials: Theories, Methods, and Practice 3rd Edition
  27. Air Pollution Control Engineering 3rd Edition
  28. A Brief Guide to Writing from Readings 7th Edition
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  30. An Introduction to Geosynthetic Engineering - Sanjay Kumar Shukla
  31. A History of England, Volume 2
  32. A Short Course in Medical Terminology 3rd Edition
  33. Algebra and Trigonometry 10th Edition
  34. Acqua Alta: A Commissario Guido Brunetti Mystery (Commissario Brunetti Book 5)
  35. A Wellness Way of Life 11th Edition
  36. A Concise Introduction to Logic 13th Edition
  37. Amman Gulf Capital Identity and Contemporary Megaprojects
  38. American History: Connecting with the Past 15th edition
  39. A History of Infamy - Crime, Truth, and Justice in Mexico
  40. A Quick Reference to Business Analysis
  41. Applied Computational Aerodynamics: A Modern Engineering Approach
  42. An Introduction to Six Sigma and Process Improvement 2nd Edition
  43. A Guide tO SQL 9th Edition
  44. A-Level Business_ AQA Year 1 & 2 Complete Revision & Practice (CGP A-Level Business) - CGP Books
  45. Abnormal Psychology 8th Edition by Thomas Olttmans
  46. A Guide to MySQL (Sam 2010 Compatible Products)
  47. Alcoholism and the family a guide to treatment and prevention 2nd Edition
  48. Auditing and Assurance Services: Understanding the Integrated Audit
  49. Anatomy: An Essential Textbook - Latin Nomenclature
  50. Advanced Problems in Physical Chemistry For Competitive Examinations
  51. Acupuncture: An Anatomical Approach 2nd edition
  52. A Phonetics Workbook for Students: Building a Foundation for Transcription – Heidi
  53. Art-Museums - International Relations where we Least Expect IT
  54. An Introduction to Business Ethics 5th edition
  55. Andrews’ Diseases of the Skin: Clinical Atlas
  56. An Introduction to Project Management 6th Edition by Kathy Schwalbe
  57. A Concise Introduction to World Religion, 3rd Edition
  58. A Small Person Far Away
  59. Applied Statistics for Engineers and Physical Scientists 3rd Editio
  60. Applied Mineral Inventory Estimation
  61. Aging and The Life Course: An Introduction to Social Gerontology 6th Edition
  62. Analytics and Decision Support in Health Care Operations Management 3rd Edition
  63. Atlas of Anatomy, Latin Nomenclature 3rd Edition by Anne M Gilroy
  64. AQA GCSE Maths Higher Student Book
  65. Accounting Information Systems 8th Edition by James A. Hall
  66. Anthills of the Savannah
  67. Applied Statistics Using Stata: A Guide for the Social Sciences
  68. Analyzing Syntaxt: A Lexical-Fungtional Approach
  69. An Introduction To Law and Economics 5th Edition
  70. Art in Indonesia
  71. An Introduction to Drugs and the Neuroscience of Behavior
  72. Adult Development and Aging 8th Edition by John C. Cavanaugh
  73. A First Course in Probability 9th Edition
  74. A2-Level Maths Complete Revision & Practice - CGP Books
  75. A New History of Animation
  76. Administrative Law for Public Managers 2nd Edition
  77. ASTD Handbook for Workplace Learning Professionals- Elaine Biech
  78. Aphasia Rehabilitation Clinical Challenges
  79. Alloying: Understanding the Basics
  80. Advertising: An Integrated Marketing Communication Perspective 3rd Edition
  81. An Islandwide Struggle for Freedom
  82. American Jesus. How the Son of God Became a National Icon
  83. Accounting for Decision Making and Control 9th Edition
  84. Atlas of Anatomy 3rd Edition
  85. Admission Assessment Exam Review: HESI 4th Edition
  86. A2-Level Maths for Edexcel - Core 3 Student Book
  87. American Social Welfare Policy: A Pluralist Approach 7th Edition
  88. Advanced Practice Nursing: Essentials for Role Development 3rd Edition
  89. Affective Neuroscience: The Foundations of Human and Animal Emotions
  90. Advancing Your Career: Concepts of Professional Nursing 5th Edition
  91. Accounting for Non Specialists 7th Australian Edition
  92. American Politics Today Essentials 5th Edition
  93. Atkins' Physical Chemistry 11th Edition by Peter Atkins
  94. Against Individualism: A Confucian Rethinking of the Foundations of Morality, Politics, Family and Religion
  95. Advertising & IMC: Principles and Practice 10th Edition
  96. Aging and Older Adulthood 3rd Edition
  97. American Drama 1945 - 2000. An Introduction
  98. A Regional Geography of the United States and Canada Toward a Sustainable Future
  99. Anatomy & Physiology 6th Edition by Elaine N. Marieb
  100. A Force So Swift
  101. Android Programming for Beginners by John Horton
  102. Assessment of Communication Disorders in Adults
  103. Animal Rights Human Rights: Entanglements of Oppression and Liberation
  104. American Corrections 10th Edition
  105. Android Programming for Developers
  106. Advanced Engine Performance Diagnosis 6th Edition by James D. Halderman
  107. A History of Western Society Since 1300 11th Edition
  108. An Introduction to Management Science: Quantitative Approaches to Decision Making14th Edition
  109. Australian Intellectual Property Commentary Law and Practice 2nd Edition
  110. A Creative Approach to Music Fundamentals 11th Edition
  111. Advanced Screenwriting Raising Your Script to the Academy Award Level
  112. Arduino Project Handbook_ 25 Practical Projects to Get You Started - Mark Geddes
  113. A Dictionary of Science (Oxford - Jonathan Law
  114. And Then You're Dead: What Really Happens If You Get Swallowed by a Whale, Are Shot from a Cannon, or Go Barreling over Niagara
  115. America and its peoples: a mosaic in the making 4th Edition
  116. Analysis of Algorithms: An Active Learning Approach 2nd edition
  117. Adult Development and Aging: Biopsychosocial Perspectives, 5th Edition
  118. Auditing and Assurance Services 16th Edition
  119. An Introduction to the Human Services 8th Edition
  120. Animals and the Moral Community
  121. A Guide to Genetic Counseling 2nd Edition
  122. Arguing for Our Lives
  123. Analysis: With An Introduction to Proof 5th Edition
  124. Analysis: with an Introduction to Proof 5th Edition Solution Manual
  125. Art of Problem Solving Introduction to Algebra Textbook and Solutions Manual 2-Book Set
  126. Approaches to Early Childhood Education 6th Edition
  127. An Introduction to Moral Philosophy by Jonathan Wolff
  128. An introduction to formal languages and automata, 6th Edition
  129. Applying Career Development Theory to Counseling 6th Edition
  130. Abnormal psychology: neuroscience perspectives on human experience 2nd Edition
  131. Aircraft Propulsion and Gas Turbine Engines 2nd Edition
  132. An Introduction to Human Services: Policy and Practice 8th Edition
  133. Aspen Handbook for Legal Writers: A Practical Reference 4th Edition
  134. Armstrong's Handbook of Performance Management 6th Edition
  135. Americanah
  136. An Introduction to Brain and Behavior 5th Edition
  137. Abnormal Psychology: The Science and Treatment of Psychological Disorders 13th Edition
  138. Algebra for College Students 8th Edition
  139. Analysis of Electromagnetic Fields and Wave
  140. Adaptation in Metapopulations: How Interaction Changes Evolution
  141. African American Psychology: From Africa to America 3rd Edition
  142. A Collection of Ranter Writings
  143. A Good Country by Laleh Khadivi
  144. A History of the Roman People 6th Edition
  145. A Guide to Qualitative Field Research 2nd Edition
  146. A Comprehensive Guide to Daoist Nei Gong
  147. Algebra with trigonometry for college students 2nd Edition
  148. Advanced Accounting 12th Edition by Paul M. Fischer
  149. ADempiere 3.4 ERP Solutions
  150. Assessment, Measurement, and Prediction for Personnel Decisions, 2nd Edition
  151. AO Principles of Fracture Management 3rd Edition Volume 1 & 2
  152. ASP Safety Fundamentals Exam Secrets Study Guide: ASP Test Review for the Associate Safety Professional Exam
  153. A First Course in Differential Equation with Modeling Applications 11th Edition
  154. An Invitation to Health: The Power of Now Dianne Hales 17th Edition
  155. Arias Practical Guide to High Risk Pregnancy and Delivery 4th Edition
  156. A+ Guide to Hardware 9th Edition
  157. A Dictionary of Biology 7th Edition
  158. Autodesk Maya 2018: Basics Guide
  159. Accounting for Governmental & Nonprofit Entities 17th Edition
  160. An Introduction to the Profession of Social Work 6th Edition
  161. Absolute Java (Global Edition)
  162. A Cultural History of Food in the Medieval Age
  163. Always by Your Side by Gaynor Carrillo
  164. Analysis, Synthesis and Design of Chemical Processes 4th Edition
  165. Abernathy's Surgical Secrets 7th Edition
  166. An Invitation to Environmental Sociology 5th Edition
  167. Abnormal Psychology in a Changing World, 9th Edition
  168. Applied Longitudinal data analysis : modeling change and event occurrence
  169. An Introduction to Management Science: Quantitative Approaches to Decision Making 15th Edition
  170. Audio Power Amplifier Design 6th Edition
  171. Attention in a Social World
  172. Animal Behavior 11th edition
  173. Accounting Information Systems 13th Edition
  174. Alternating Projection Methods
  175. Advances in Accounting Behavioral Research - Volume 17
  176. Anatomy and Physiology: An Integrative Approach 3rd Edition
  177. A Place to Stand
  178. A Study Guide for Kate Chopin's "Story of an Hour"
  179. Authority and enterprise among the peoples of South Sulawesi : introduction – Roger
  180. Advancing Vocabulary Skills 3rd Edition
  181. Anatomy: A Photographic Atlas 8th Edition
  182. Adolescence 11th Edition
  183. Advanced Pediatric Assessment 2nd Edition
  184. Agile project management quickstart guide a simplified beginners guide to agile project Management
  185. An Introduction to Group Work Practice 8th Edition
  186. A Dialogue on Personal Identity and Immortality
  187. A Framework for Human Resource Management 7th Edition
  188. Accounting Information Systems, Global Edition, 14th Edition
  189. Applied Regression Analysis and Other Multivariable Methods 5th Edition
  190. Atlantic Africa and the Spanish Caribbean, 1570-1640 – David Wheat
  191. ACSM’s Exercise is MedicineTM: A Clinician’s Guide to Exercise Prescription
  192. AO Manual of Fracture Management: Internal Fixators: Concepts and Cases using LCP/LISS – Michael Wagner
  193. An Emotionally Focused Workbook for Couples: The Two of Us
  194. A Man and His Presidents: The Political Odyssey of William F. Buckley Jr
  195. Adobe LiveCycle Designer 2nd Edition
  196. A Temporary Gift by Asmaa Hussein
  197. A Novel Multi-Criteria Decision Making Model
  198. American College Slang for International Students
  199. Applying Political Theory: Issues and Debates 2nd Edition
  200. A Study Guide for Khaled Hosseini's "A Thousand Splendid Suns"
  201. Accessible American History: Connecting the Past to the Present 2nd Edition
  202. Algae-Based Biopharmaceuticals
  203. America’s History, Volume 2, 8th Edition
  204. Assessment for Reading Instruction, 3rd Edition
  205. America in European Consciousness, 1493-1750
  206. AS-Level Maths for Edexcel - Core 2 Student Book
  207. A History of Asia 7th Edition
  208. A Framework for Marketing Management 6th Edition
  209. Australian Political Institutions 10th Edition
  210. Artificial Intelligence: A Guide to Intelligent Systems 3rd Edition
  211. Absolute C++ 6th Edition by Walter Savitch
  212. Adult Learning: Linking Theory and Practice
  213. Advanced Practice Nursing: An Integrative Approach 5th Edition
  214. Analysing English Sentences 2nd Edition
  215. A2-Level Maths for Edexcel - Statistics 2 Student Book
  216. Attract, Engage & Retain Top Talent.50 Plus One Strategies
  217. Applied Mathematics for the Managerial, Life, and Social Sciences 7th Edition
  218. Activities, Games, and Assessment Strategies for the Foreign Language Classroom
  219. A Grammar of the Film - An Analysis of Film Technique
  220. A Practical Approach to Criminal Procedure 15th Edition
  221. Anatomy and Physiology: An Integrative Approach 2nd Edition
  222. Automotive Chassis Systems 7th Edition
  223. A History of European Literature: The West and the World from Antiquity to the Present
  224. American Government: Stories of a Nation
  225. Autocad Civil 3D 2010 Procedures and Application
  226. A History of Modern Psychology 11th Edition
  227. Aging in the Right Place
  228. Australian Intellectual Property Law 3rd Edition
  229. AS-Level Maths for Edexcel - Core 1
  230. ARE Secrets Study Guide: ARE Exam Review for the Architect Registration Examination
  231. Advanced Infrastructure Penetration Techniques
  232. Android Application Development Cookbook
  233. A World of Art, 8th Edition
  234. American Revolution Considered as a Social Movement
  235. A Lawyer Writes: A Practical Guide to Legal Analysis, 2nd Edition
  236. An Introduction to Environmental Sociology
  237. A Cultural History of Early Modern English Cryptography Manuals
  238. Applied Engineering Economics Using Excel by Merwan Mehta
  239. Advancing Your Career: Concepts of Professional Nursing 6th Edition
  240. An Architectural survey of Temples of Kerala – H. Sarkar
  241. Accident Investigation Techniques, 2nd Edition
  242. American Conservatism History: Theory and Practice
  243. Anti-pluralism: the real populist threat to liberal democracy
  244. Anthropology: The Human Challenge 15th Edition
  245. An Alternative History of Bicycles and Motorcycles: Two-Wheeled Transportation and Material Culture
  246. Adult Health Nursing 8th Edition
  247. Assessment in Counseling Procedures and Practices, 6th Edition
  248. Augmentative and Alternative Communication - Supporting Children and Adults with Complex Communication Needs 4th Edition
  249. ASTRO 3: Introductory Astronomy
  250. A Short Course in Photography: Digital 3rd Edition
  251. Advanced Accounting 13th Edition by Joe Ben Hoyle
  252. Abnormal Psychology, 10th Edition by Ronald J. Comer
  253. A modern epidemic: expert perspectives on obesity and diabetes - Amanda Sainsbury
  254. Automotive Vehicle Fire Analysis
  255. A Job to Love - The School of Life
  256. American Heathens: religion, race, and reconstruction in California – Joshua
  257. Applied Information Security: A Hands-on Guide to Information Security Software 2nd Edition
  258. Advanced Practice Nursing in the Care of Older Adults
  259. A+ Guide to Software 9th Edition
  260. Anatomy & Physiology: The Unity of Form and Function 7th Edition
  261. Acupuncture and Moxibustion - A Clinical Desk Reference
  262. A Visual Guide to Stata Graphics 3rd Edition
  263. A History of Modern Psychology, 4th Edition
  264. A New Reference Grammar of Mode 5th Edition
  265. Aphrodisiacs: The Science and the Myth - Taberner, Peter V.
  266. Advanced Practice Psychiatric Nursing, 2nd Edition
  267. A History of the World’s Religions 13th Edition
  268. A key to Whiteheads Process and reality
  269. Abnormal Psychology 17th Edition by James N. Butcher
  270. Aristophanes: Women at the Thesmophoria. Frogs
  271. Alcohol, Other Drugs, and Behavior: Psychological Research Perspectives 2nd Edition
  272. Applied Mechanics with solidworks by Godfrey Onwubolu
  273. An Introduction to MultiAgent Systems 2E
  274. ACSM's Exercise Management for Persons with Chronic Disease and Disabilities 4th Edition
  275. Art History Volume II 6th Edition
  276. Applied Survey Sampling
  277. A Process Theory of Organization
  278. A Practical Guide to Contemporary Pharmacy Practice and Compounding 4th Edition
  279. Anglicizing America
  280. Ability Profiling and School Failure - One Chid's Struggle to be Seen as Competent 2nd Edition
  281. Art: A Brief History 6th Edition
  282. A Critical Approach to Human Growth and Development
  283. An Introduction to Intercultural Communication: Identities in a Global Community 9th Edition
  284. An Introduction to Policing 8th Edition
  285. American Government and Politics Today 2017-2018 Edition
  286. Adolescence 10th Edition
  287. Adolescence and Emerging Adulthood: A Cultural Approach 6th Edition
  288. ATI TEAS Secrets Study Guide 6th Edition
  289. An Introduction to Behavioral Endocrinology, 5th Edition
  290. Atkinson and Hilgard’s Introduction to Psychology
  291. Art Law : A concise guide for artists, curators and art educators by Micheal E. Jones 2016 edition
  292. America, Past and Present Volume 1 10th Edition
  293. A Dictionary of Zoology
  294. A Topical Approach to Lifespan Development 8th Edition
  295. A Journey Around Our America
  296. Adaptable Interventions for Counseling Concerns - A step-by-step Clinical Workbook
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Multisignature technology question

I am interested in how multisignatures in bitcoin or in cryptography in general are created(some code and math) and how they are verified(code and math) . I understand how ECDSA signatures work and there is plenty of info out there. However there are no real technical explanations for multisignature technology in bitcoin or in general. I've been searching through the internet and bitcoin core like a dummy and I cant find anything. Help is much appreciated.
submitted by frturtle to Bitcoin [link] [comments]

From Conspiracy to Fact: An analysis of the COVID-19 Pandemic, Information Control, and the New World Order (Appendix includes hundreds of citations) - PART 1

PLEASE NOTE: This article may be updated periodically with new information and links as they become available. All referenced information and a whole lot more is indexed and linked in the related appendix posts. Please feel free to crosspost, share, and take from my ideas to build your own. Namaste.
Part 1 | Part 2 | Appendix A | Appendix B
- - - - - - - - - - - - - - - - - - - - -
Hello. My name is Chris. I am nobody, really. An average citizen. I am an overweight 42 year old white male from the Midwestern suburbs of the US who has been fortunate enough to live a pretty comfortable life. I used to be a freelance graphic designer with a focus on small businesses, but I'm coming to terms with the fact that that career and part of my life is more than likely over in light of current events. Oh well, it was fun while it lasted.
I've always been concerned about social injustice and tried to stay politically informed, even dabbling in some activism here and there. At times I've stepped away from paying attention for my own mental health, or due to laziness, defeatism, whatever. But I've never stopped caring, or trying, to fight the good fight and do the right thing.
The news recently has of course swept us all up, and touched all our lives in some way or another. The world has never seen anything like the "Coronavirus Pandemic," and it's clear that our society will be changed forever when we finally come out the other end of this mess. But I've had the luxury of time recently, and in reading the news about things that were going on, I couldn't help but notice the patterns, and that a lot of stuff didn't exactly make sense.
So, here we go, with the "conspiracy theory."
I hate that term, because although it's technically accurate, it's been demonized and weaponized by the media and society at large to take on a bad connotation. Tinfoil hats, alien abductions, crazy people muttering to themselves, etc. You've no doubt got a lot of images in your mind of a conspiracy theorist.
And make no mistake, what I'm going to tell you here is all currently very popular conspiracy theory. However, I think that by removing opinions and conjecture from it, and focusing on facts and things that have already happened, I can present this huge amount of overwhelming, disparate information in a way that makes it less a "theory" and more a "research project." And so that is how I have approached this.
I have spent the last week doing little else besides reading every news and opinion article I could find, saving and organizing hundreds of links, and assembling a coherent, logical outline to organize and present these theories, and more importantly, facts. There are a lot of less-than-reputable sites and publications out there, and I have tried when at all possible to provide sources from verifiable news sites, with a wide range of slants and focuses, to illustrate that what is happening is not part of any one particular political agenda.
I hope that you take the time to check the links, really look into the information presented here, and form your own opinions. Please do not just take my word for it. To that end, there are also a few links mixed in that are labeled as having come from conspiracy. These are well-written and well-reasoned posts from other concerned citizens that I think are worth reading, and relevant to the discussion here.
One last thing - If you are new to most of these ideas, the information presented here is more than likely going to seem overwhelming at first. I encourage you now, and always, to take mental health breaks for yourself, and put down your phone or turn off your computer. The information will be here when you come back. And as you'll soon understand, what is happening is an unstoppable tide, truly a force of nature at this point, and there is nothing you can do to fight it, so try your hardest to relax, put on some chill music, hug your dog, and most of all...
BREATHE.
- - - - - - - - - - - - - - - - - - - - -
If you start researching conspiracy theory, you're going to find a lot of information. Some much better or worse presented than others, and some much more plausible or unbelievable than others. Despite the seeming ridiculousness of some things you might read, I encourage you to always approach new information with an open mind.
That said though, I have one main principle that guides all my beliefs about conspiracy theories, and that is the "Filter of Likelihood." Essentially, you have to ask yourself how possible, how likely, and how feasible a piece of information is. Furthermore, you need to ask yourself what the motivation would be. In many cases, it's quite easy to see how something makes a lot of sense based on other known info, whereas some theories seem rather implausible no matter how you look at it.
I am interested only in the plausible, and where possible, the already actualized. Additionally, there's a lot to be said, and a lot that has already been written on many of these topics, so I will focus on current events and simple concepts.
I will also ask you to open your mind to possibility. Please consider this as you evaluate new information:
  1. Do you believe there are things going on in the world that you don't know about yet?
  2. Do you believe that there is technology and science you've never heard of?
  3. Do you believe that society is progressing at an increasing rate?
  4. Do you believe that as populations grow, we require new societal strategies?
  5. Do you believe that those with power and money want to retain their power and money?
Of course you believe all these things, and none of these are wild or unusual concepts. Rather, these are very basic concepts that apply to everyone, and always have. They are all part of our shared human experience, and undeniable facts of life. Populations grow, societies evolve, technology advances, and the world changes. And most important to our discussion here, people, families, and empires constantly jockey for power and control, while fighting for resources, power, fame, and...
MONEY.
We all hate TicketMaster, right? Who do they think they are, what the hell is this bullshit "service fee," etc. It's something everyone can get behind. But did you know that TicketMaster willingly cultivates that image? That venues, teams, and artists, in their pursuit of more money, raise fees and then let TicketMaster be the bad guy and take the heat so their reputations remain intact?
There are many more people, organizations, and other entities in the world playing that same role for those who really have the money, who really call the shots. And those who call the shots work very hard and spend absolutely unfathomable amounts of money, time, and blood, to make sure that you don't ever realize who's actually taking your money.
They do this in the simplest, easiest way. If you simply control information from the top down, and disseminate it when and where you see fit, you can effect great societal change without lifting a finger.
Please imagine... really, try to imagine... You just read an article, saw a video, whatever, from a very, very reputable source. And it just informed you that an asteroid was 83% likely to impact the Earth next month. What would you do? What would happen in the world?
Hopefully an asteroid will not hit next month, but it's important to really imagine what would happen and why, and how. Because a huge amount of information would be generated and published, people would panic, society would crumble, and the world as you know it would change forever in an instant, the moment you read that headline.
Control of information is one of the most powerful tools known to mankind today. A person living in 2020 can easily encounter as much information in a day as someone in Medieval times might have encountered in a lifetime. And it comes at you from all angles, in all forms, non-stop, 24/7. Much like the water in the pipe, the information is always there, and one needs but turn it on.
Disseminating the information then becomes a practice all its own, and to be sure, information processing accounts for more than half of the US GDP. And the rate at which it's spread, and way it is handled makes a huge difference in the societal repercussions. So a few different techniques are used:
It might be the greatest understatement of all time to say that there has been a lot of information passed around about COVID-19, the "Coronavirus," recently. In fact, there has never been anything like what we are currently experiencing in all of human history, and not by a long shot. And this unprecedented turn of events has caused a lot of people to react in a lot of ways, and say and do a lot of things, for better or for worse.
Full disclosure: In particular, if you look up conspiracy theory, you'll see a lot of stuff suggesting that the "Coronavirus is a hoax." (You'll also find a lot of poorly-written rambling) I want to be clear that I DO NOT believe that. I am 100% sure that there is a Coronavirus, that it is making people sick, that a lot of people are dying, and that our medical professionals and many other undervalued workers are overwhelmed, and breaking their backs every day to do their best to keep their friends, families, and loved ones safe. I am extraordinarily grateful for them and admire the resolve and bravery that so many have shown in the face of this disaster. I do not think it is a hoax at all.
However, I think that literally everything else that is happening surrounding the "pandemic" is.
- - - - - - - - - - - - - - - - - - - - -
The Pandemic
In the first week of January this year, I got sick. Really sick. I know when I got it and who I got it from, and honestly the exact moment I got it (I only was in proximity of the dude for a few minues). He had warned me that he was really sick, and I blew it off. I started feeling sick a day or two later, and a day or two after that I felt like I was dying. Fever, chills, aches, extraordinary fatigue. And literal, nonstop, 24/7 coughing. I had every single symptom of what we now know as COVID-19. I commented to anyone who would listen that I didn't recall ever feeling that sick before in my entire life. The most memorable part of it though was that after a couple days, I completely lost my sense of smell and taste. Joked a lot about how you could feed me onions and soap cause I'd have no idea. I try to have a good attitude about being sick.
I spent a week sleeping on the couch before I finally went to the doctor. She gave me a Prednisolone steroid pack (which has worked well for me in the past), some Trazodone to knock me out, and Benzonatotate for my cough. As soon as I took the first dose of steroids I started to feel pretty fucking great, and it was more or less a non-issue after that.
I spoke to a lot of people about it then and after, and man, I can't tell you how many stories I personally heard from people I know that said the exact same thing. Then I started reading the same story over and over again on Reddit:
We didn't start really hearing about the Coronavirus in the media until the beginning of March, and we didn't hear about the "Pandemic" until just a couple weeks ago. And what a couple weeks it's been since then. But I am quite certain that it's been around for a lot longer and that I, and a lot of other people I know, had it - and DID NOT DIE FROM IT - way back in January.
We now know that the first documented case in the US was on January 19th, but that word "documented" is so, so important here. That means that we had identified the virus, developed a test, and tested a person with the symptoms that day. It does NOT mean that was when the virus reached the United States. How sick do you have to be before you take a day off work? Before you go to the doctor? With America's healthcare system or lack thereof, it's almost certain that many people had this virus before we determined what it was, and how infectious it really was.
There is also the matter of the statistics of severity vs the regular flu. This is a highly contentious topic and I am no medical expert, and do not wish to make any assertions. However, what I can tell you from my personal experience is this: I had a horrible "flu" in January, got basic medicine, got better. So, either I had the flu, or perhaps I did indeed have the Coronavirus.
We will never know because I was never tested. But the important thing is that it doesn't matter. Either I (and many others) had the Coronavirus and it did not kill us (calling into question the severity of the infection) or we just had a bad cold or flu, but it had the exact same symptoms as COVID-19 (calling into question the extent of Coronavirus diagnoses). But logically, one of those two statements is true.
Furthermore, the data keeps changing, and I don't mean increasing on a daily basis. I mean up and down, back and forth, it is deadly or maybe it isn't, etc. On January 14 the WHO told you it couldn't spread from human to human. But then on Jan 19 we saw the first case of Coronavirus in the United States. Then it turns out that the Wuhan market outbreak began earlier in December. And then it's an "epidemic," but most people will only get mild symptoms. What are you supposed to believe? And it sure does seem to come at you as a firehose, and it's hard to even think about anything because OHMYGODTHECORONAVIRUS!
But let's stop and look a couple basic facts. As a matter of fact, I'm going to let Dr. Sucharit Bhakdi explain this one to you. This is a very informative 10 minute video, watch it:
Sucharit Bhakdi - Very clear math showing that the COVID statistics are being manipulated
So 80% of people only experience mild symptoms, and we're crashing the economy for this? The statistics aren't any more extreme than many other illnesses we've had over time, and we're crashing the economy for this? It doesn't make sense until you consider that there are other factors besides just the virus at play.
Wolfgang Wodard - Explaining how the statistics are being manipulated to cause panic
The media, and society at large is inundating you with terrifying information about the Coronavirus. But if it's not as bad as we originally thought, then why? We don't freak out about every illness that comes along, and we've certainly never in the history of civilization had over 1/3 of the global population locked down under mandatory quarantine.
And then there's the debate about where the virus came from. We believe it came from a meat market in China, under unsanitary conditions. The science behind a coronavirus making the leap from one species to another is well-established and researched, and it is a very likely scenario. There are also conspiracy theories that state that China released it on its people intentionally, or even that the US military released it in China. Again, we will never know exactly where this Coronavirus came from. It may be natural, it may be man made, and there are very plausible paths for both. I don't know what to believe myself. So here I ask you to make your own judgement based on likelihood.
What we do know though is that the state of the world this virus has been unleashed on has played a major factor in its spread. In 1950 the global population was 2.5 billion, and that has exploded to almost 8 billion people in 2020. As a matter of fact, population growth has been exponential since about the time of the Industrial Revolution.
With all these people on the planet there are sure to be many disagreements and conflicts, and there indeed have been. As a matter of fact, 2019 saw global protests on an unprecedented scale, in Hong Kong, France, Syria, and many other countries. Citizens have literally been fighting police and military with rocks, clubs, arrows, and molotov cocktails.
Did you know that? Despite my seeing headlines and pictures every day of the riots in Hong Kong, I have been shocked to learn that multiple of my close friends, intelligent and aware people, had no knowledge whatsoever of the protests even existing. But that is far from a coincidence; rather, it is quite by design.
- - - - - - - - - - - - - - - - - - - - -
Billionaires and Coincidences
Another major talking point over the last 5 to 10 years has been the "1%" - the handful of super-rich individuals who posess and control the vast majority of the Earth's wealth and resources. Where it used to just be a numerical term, "Billionaire" is now a dirty word, and one of the nastiest. We all hate billionaires. They are evil, and profit off the exploitation of the rest of the world.
The "Illuminati" we call them, in pursuit of a "New World Order." Crazy stuff, right? Mysterious symbols and people in black robes doing nefarious things in secret meetings, and running the world from behind the scenes. We love the Illuminati, it's a huge pop culture thing now. The subject of endless speculation, they are made fun of in the media, movies, and now Taco Bell commercials. It's so far fetched it could never really be true. And the fact that you think that is by design as well.
So, we don't know where the Coronavirus came from, but it's certainly here, and there are lot of other things unfolding in the world around it. Many different current events from all different places and fields of study. Some of it seems a little too coincidental. It is certainly very coincidental that this economically destructive Coronavirus entered the world right as there were global uprisings, protests in the street, and a growing public hatred for billionaires.
Well, here are a few other coincidences: Hundreds of CEOs of major companies stepped down from their positions in recent months. Multiple US Senators sold stock right before the market crashed. Even the boss of the New York Stock Exchange sold his own stock right before the crash. Did they know something they weren't telling us?
Here's another coincidence. In 2010, The Rockefeller Foundation published a selection of future-predicting scenarios in the name of "exploring the ways that technology and development could co-evolve." One of these four scenarios, entitled "Lock Step," eerily predicts a global viral pandemic and the resulting hypothetical consequences, which almost exactly mirrors the COVID-19 pandemic we are in the midst of today.
Also coincidental: The first case of COVID-19 was diagnosed in China on November 17th, 2019. Literally one month earlier, The Johns Hopkins Center for Health Security in partnership with the World Economic Forum and the Bill and Melinda Gates Foundation hosted Event 201, a high-level pandemic exercise on October 18, 2019, in New York, NY. In this exercise, they discuss the potential implications and consequences of a novel Coronavirus, including an economic crash, martial law, and of particular interest, the control of information. (You can view some published highlights here)
The World Economic Forum is comprised of the richest of the rich. The 1%. The Billionaires. CEO's, politicians, business owners, and many other powerful and influential figures. They meet regularly to discuss topics of global concern, and strongly control the dissemination of information. And of primary concern to many of them is maintaining their wealth and power in a rapidly-changing world.
And finally, here's one more coincidence: At the exact same time as the Event 201 exercise, The World Military Games was held in Wuhan, China, Oct 18-27, 2019. It was the largest military sports event ever to be held in China, with nearly 10,000 athletes from over 100 countries competing in 27 sports. Wuhan China was, as we now believe, the source of our current global COVID-19 outbreak.
Whether you think it is a "conspiracy" or not, that is all certainly coincidental, to say the least.
- - - - - - - - - - - - - - - - - - - - -
"Why didn't I hear about any of this?"
That's an excellent question, and one that likely has multiple answers. For starters, how much do you really pay attention? Where do you get your news from? Do you research things you hear or just accept them on hearsay? Critical thinking skills are paramount in making sense of the chaos unfolding all around us.
As I mentioned before, I can tell you that I personally know multiple people who had no clue whatsoever about the riots in Hong Kong last year. As you read this, you may be one of them. And it may seem like something that is happening far away, and "could never happen here." Or you may have been aware of it but just that it was happening. But please, consider for a moment: millions of average citizens risked their lives and safety in the streets of Hong Kong for months on end, fighting police and military, and transforming the city they lived in into a warzone. WHY? Why would people do something like that? Regardless of their motivations, that many people were banding together to fight for something they believed in. And that is worth considering.
It's not really your fault though that you may not catch wind of all this news. The "mainstream media" that you hear about all the time deliberately controls information - downplaying threats and overreacting to silly things - in order to make sure that you hear the version of the news that they want you to hear.
Did you know that only 6 corporations control 90% of the media In America? That number is reduced from 50 companies in the 80's. And literally all the news you see on TV, at the very least, is 100% owned and controlled by these companies. Lately, distrust is growing for cable news networks, and many people turn to their local hometown station for trusted news. The problem with that though is that your hometown station is probably owned by Sinclair Media, one of the most powerful broadcast networks in the country that you've never heard of.
Please watch this very brief video, illustrating the chokehold that Sinclair Media maintains over your nightly local news broadcast: https://www.youtube.com/watch?v=hWLjYJ4BzvI
Of course, not every piece of news is pre-programmed but a lot is. The real news is out there, but sometimes you have to look a little deeper than the infographics on TV news. Even if information is being directed from the top down, the boots on the ground tend to be passionate people with a variety of interests and agendas, and they are still doing their best to do real journalism despite corporate oversight.
Think of those who are directing the information as steering an impossibly massive ship with a rudder. You can slowly adjust the course of direction, however it is slow to react. If you want to stop, you have to start thinking about stopping wayyy ahead of time. And similarly, once it gets underway, it is then influenced by an inertia all its own. Micro controls and adjustments aren't really possible.
Our society is this giant ship. There are 8 billion people on this earth - that is 8000 million. An incomprehensible number that grows rapidly every day. As civilization grows and advances, so does our medicine, our technology, our cultural norms. These are all natural processes that are necessary to manage an increasing number of societies all around the globe. And many of the advances we're making have exciting potential benefits for humanity, although as with all tools, they also inherently possess the potential for abuse.
Here are some other things happening in society right now, some you may be aware of and many you may not:
There is an interesting chicken or egg relationship between science fiction and real world science. Sci-fi writers are inspired by the real science of the day, then they apply their creativity to imagine what might be in the future. Young scientists encounter these fantastical ideas and think they are worth pursuing, and then set about to make them a reality, and the cycle continues.
Futuristic concepts are then preempted and introduced through the media to the conscious mind, as we include them in books, movies, TV, video games, and more. Eventually we start seeing headlines of these new technologies and developments happening in other places, usually Japan and China first due to their prevalence in the industrial and technological sectors of our global economy.

Continue to Part 2 >>

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