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Nick Adams 7 years ago
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[appendix]
== Transaction Script Language Operators, Constants, and Symbols
<<tx_script_ops_table_pushdata>> shows operators for pushing values onto the stack.((("transactions", "scripts and Script language", id="TRlang14")))((("scripting", "Script language operators, constants, and symbols", id="SCRlang14")))
[NOTE]
====
Tables and descriptions sourced from https://en.bitcoin.it/wiki/Script[].
====
_Tables and descriptions sourced from https://en.bitcoin.it/wiki/Script[]_.
<<tx_script_ops_table_pushdata>> shows operators for pushing values onto the stack.((("transactions", "scripts and Script language", id="TRlang14")))((("scripting", "Script language operators, constants, and symbols", id="SCRlang14")))
[[tx_script_ops_table_pushdata]]
.Push value onto stack

@ -2,7 +2,7 @@
[appendix]
== Segregated Witness
((("segwit (Segregated Witness)", id="segwit16")))Segregated Witness (segwit) is an upgrade to the bitcoin consensus rules and network protocol, scheduled for implementation in the second half of 2016.
((("segwit (Segregated Witness)", id="segwit16")))Segregated Witness (segwit) is an upgrade to the bitcoin consensus rules and network protocol, proposed and implemented as a BIP-9 soft-fork that is currently (mid-2017) pending activation.
In cryptography, the term "witness" is used to describe a solution to a cryptographic puzzle. In bitcoin terms, the witness satisfies a cryptographic condition placed on a unspent transaction output (UTXO).
@ -29,7 +29,7 @@ https://github.com/bitcoin/bips/blob/master/bip-0145.mediawiki[BIP-145] :: getbl
Segregated Witness is an architectural change that has several effects on the scalability, security, economic incentives, and performance of bitcoin:
Transaction Malleability :: By moving the witness outside the transaction, the transaction hash used as an identifier no longer includes the witness data. Since the witness data is the only part of the transaction that can be modified by a third party (see <<transaction malleability>> and <<segwit_txid>>), removing it also removes the opportunity for transaction malleability attacks. With Segregated Witness, transaction hashes become immutable by anyone other than the creator of the transaction, which greatly improves the implementation of many other protocols that rely on advanced bitcoin transaction construction, such as payment channels, chained transactions, and lightning networks.
Transaction Malleability :: By moving the witness outside the transaction, the transaction hash used as an identifier no longer includes the witness data. Since the witness data is the only part of the transaction that can be modified by a third party (see <<segwit_txid>>), removing it also removes the opportunity for transaction malleability attacks. With Segregated Witness, transaction hashes become immutable by anyone other than the creator of the transaction, which greatly improves the implementation of many other protocols that rely on advanced bitcoin transaction construction, such as payment channels, chained transactions, and lightning networks.
Script Versioning :: With the introduction of Segregated Witness scripts, every locking script is preceded by a _script version_ number, similar to how transactions and blocks have version numbers. The addition of a script version number allows the scripting language to be upgraded in a backward-compatible way (i.e., using soft fork upgrades) to introduce new script operands, syntax, or semantics. The ability to upgrade the scripting language in a nondisruptive way will greatly accelerate the rate of innovation in bitcoin.

@ -45,9 +45,9 @@ When cryptography started becoming more broadly available and understood in the
=== History of Bitcoin
((("Nakamoto, Satoshi")))((("distributed computing")))((("bitcoin", "history of")))Bitcoin was invented in 2008 with the publication of a paper titled "Bitcoin: A Peer-to-Peer Electronic Cash System,"footnote:["Bitcoin: A Peer-to-Peer Electronic Cash System," Satoshi Nakamoto (https://bitcoin.org/bitcoin.pdf).] written under the alias of Satoshi Nakamoto. Nakamoto combined several prior inventions such as b-money and HashCash to create a completely decentralized electronic cash system that does not rely on a central authority for currency issuance or settlement and validation of transactions. ((("Proof-of-Work algorithm")))((("decentralized systems", "consensus in")))((("mining and consensus", "Proof-of-Work algorithm")))The key innovation was to use a distributed computation system (called a "Proof-of-Work" algorithm) to conduct a global "election" every 10 minutes, allowing the decentralized network to arrive at _consensus_ about the state of transactions. ((("double-spend problem")))((("spending bitcoin", "double-spend problem")))This elegantly solves the issue of double-spend where a single currency unit can be spent twice. Previously, the double-spend problem was a weakness of digital currency and was addressed by clearing all transactions through a central clearinghouse.
((("Nakamoto, Satoshi")))((("distributed computing")))((("bitcoin", "history of")))Bitcoin was invented in 2008 with the publication of a paper titled "Bitcoin: A Peer-to-Peer Electronic Cash System,"footnote:["Bitcoin: A Peer-to-Peer Electronic Cash System," Satoshi Nakamoto (https://bitcoin.org/bitcoin.pdf).] written under the alias of Satoshi Nakamoto (see <<satoshi_whitepaper>>). Nakamoto combined several prior inventions such as b-money and HashCash to create a completely decentralized electronic cash system that does not rely on a central authority for currency issuance or settlement and validation of transactions. ((("Proof-of-Work algorithm")))((("decentralized systems", "consensus in")))((("mining and consensus", "Proof-of-Work algorithm")))The key innovation was to use a distributed computation system (called a "Proof-of-Work" algorithm) to conduct a global "election" every 10 minutes, allowing the decentralized network to arrive at _consensus_ about the state of transactions. ((("double-spend problem")))((("spending bitcoin", "double-spend problem")))This elegantly solves the issue of double-spend where a single currency unit can be spent twice. Previously, the double-spend problem was a weakness of digital currency and was addressed by clearing all transactions through a central clearinghouse.
The bitcoin network started in 2009, based on a reference implementation published by Nakamoto and since revised by many other programmers. The implementation of the Proof-of-Work algorithm (mining) that provides security and resilience for bitcoin has increased in power exponentially, and now exceeds the combined processing power of the world's top supercomputers. Bitcoin's total market value is estimated at between $10 billion and $15 billion US dollars, depending on the bitcoin-to-dollar exchange rate. The largest transaction processed so far by the network was $150 million US dollars, transmitted instantly and processed without any fees.
The bitcoin network started in 2009, based on a reference implementation published by Nakamoto and since revised by many other programmers. The implementation of the Proof-of-Work algorithm (mining) that provides security and resilience for bitcoin has increased in power exponentially, and now exceeds the combined processing power of the world's top supercomputers. Bitcoin's total market value has at times exceeded $20 billion US dollars, depending on the bitcoin-to-dollar exchange rate. The largest transaction processed so far by the network was $150 million US dollars, transmitted instantly and processed without any fees.
Satoshi Nakamoto withdrew from the public in April 2011, leaving the responsibility of developing the code and network to a thriving group of volunteers. The identity of the person or people behind bitcoin is still unknown. ((("open source licenses")))However, neither Satoshi Nakamoto nor anyone else exerts individual control over the bitcoin system, which operates based on fully transparent mathematical principles, open source code, and consensus among participants. The invention itself is groundbreaking and has already spawned new science in the fields of distributed computing, economics, and econometrics.
@ -116,13 +116,13 @@ Third-party API client:: ((("third-party API clients")))A third-party API client
Combining these categorizations, many bitcoin wallets fall into a few groups, with the three most common being desktop full client, mobile lightweight wallet, and web third-party wallet. The lines between different categories are often blurry, as many wallets run on multiple platforms and can interact with the network in different ways.
For the purposes of this book, we will be demonstrating the use of a variety of downloadable bitcoin clients, from the reference implementation (Bitcoin Core) to mobile and web wallets. Some of the examples will require the use of Bitcoin Core, which, in addition to being a full client, also exposes APIs to the wallet, network, and transaction services. If you are planning to explore the programmatic interfaces into the bitcoin system, you will need to run Bitcoin Core.((("", startref="GSwallet01")))((("", startref="Wselect01")))
For the purposes of this book, we will be demonstrating the use of a variety of downloadable bitcoin clients, from the reference implementation (Bitcoin Core) to mobile and web wallets. Some of the examples will require the use of Bitcoin Core, which, in addition to being a full client, also exposes APIs to the wallet, network, and transaction services. If you are planning to explore the programmatic interfaces into the bitcoin system, you will need to run Bitcoin Core, or one of the alternative clients (see <<alt_libraries>>).((("", startref="GSwallet01")))((("", startref="Wselect01")))
==== Quick Start
((("getting started", "quick start example", id="GSquick01")))((("wallets", "quick start example", id="Wquick01")))Alice, who we introduced in <<user-stories>>, is not a technical user and only recently heard about bitcoin from her friend Joe. While at a party, Joe is once again enthusiastically explaining bitcoin to all around him and is offering a demonstration. Intrigued, Alice asks how she can get started with bitcoin. Joe says that a mobile wallet is best for new users and he recommends a few of his favorite wallets. Alice downloads "Mycelium" for Android and installs it on her phone.
When Alice runs Mycelium for the first time, as with many bitcoin wallets, the application automatically creates a new wallet for her. Alice sees the wallet on her screen, as shown in <<mycelium-welcome>>.
When Alice runs Mycelium for the first time, as with many bitcoin wallets, the application automatically creates a new wallet for her. Alice sees the wallet on her screen, as shown in <<mycelium-welcome>> (note: Do _not_ send bitcoin to this sample address, it will be lost forever).
[[mycelium-welcome]]
.The Mycelium Mobile Wallet
@ -171,8 +171,8 @@ Alice was introduced to bitcoin by a friend so she has an easy way to acquire he
There are hundreds of applications and websites that can provide the current market rate. Here are some of the most popular:
http://bitcoinaverage.com/[Bitcoin Average]:: ((("BitcoinAverage")))A site that provides a simple view of the volume-weighted-average for each currency.
http://bitcoincharts.com[Bitcoin Charts]:: ((("Bitcoin Charts")))A market data listing service that shows the market rate of bitcoin across many exchanges around the globe, denominated in different local currencies.
http://www.zeroblock.com/[ZeroBlock]:: ((("ZeroBlock")))A free Android and iOS application that can display a bitcoin price from different exchanges.
http://coincap.io/[CoinCap]:: A service listing the market capitalization and exchange rates of hundreds of crypto-currencies, including bitcoin.
http://www.cmegroup.com/trading/cf-bitcoin-reference-rate.html[Chicago Mercantile Exchange Bitcoin Reference Rate]:: A reference rate that can be used for institutional and contractual reference, provided as part of investment data feeds by the CME.
In addition to these various sites and applications, most bitcoin wallets will automatically convert amounts between bitcoin and other currencies. Joe will use his wallet to convert the price automatically before sending bitcoin to Alice.

@ -284,4 +284,4 @@ As Bob spends the payments received from Alice and other customers, he extends t
.Alice's transaction as part of a transaction chain from Joe to Gopesh
image::images/mbc2_0210.png["Alice's transaction as part of a transaction chain"]
In this chapter, we saw how transactions build a chain that moves value from owner to owner. We also tracked Alice's transaction, from the moment it was created in her wallet, through the bitcoin network and to the miners who recorded it on the blockchain. In the next few chapters we will examine the specific technologies behind wallets, addresses, signatures, transactions, the network, and finally mining.((("", startref="BCover02")))((("", startref="DCSover02")))
In this chapter, we saw how transactions build a chain that moves value from owner to owner. We also tracked Alice's transaction, from the moment it was created in her wallet, through the bitcoin network and to the miners who recorded it on the blockchain. In the rest of this book we will examine the specific technologies behind wallets, addresses, signatures, transactions, the network, and finally mining.((("", startref="BCover02")))((("", startref="DCSover02")))

@ -7,7 +7,7 @@
((("digital keys", see="keys and addresses")))((("keys and addresses", "overview of", id="KAover04")))((("digital signatures", "purpose of")))Ownership of bitcoin is established through _digital keys_, _bitcoin addresses_, and _digital signatures_. The digital keys are not actually stored in the network, but are instead created and stored by users in a file, or simple database, called a _wallet_. The digital keys in a user's wallet are completely independent of the bitcoin protocol and can be generated and managed by the user's wallet software without reference to the blockchain or access to the internet. Keys enable many of the interesting properties of bitcoin, including decentralized trust and control, ownership attestation, and the cryptographic-proof security model.
Every bitcoin transaction requires a valid digital signature to be included in the blockchain, which can only be generated with a secret key; therefore, anyone with a copy of that key has control of the bitcoin in that account. ((("witnesses")))The digital signature used to spend funds is also referred to as a _witness_, a term used in cryptography. The witness data in a bitcoin transaction testifies to the true ownership of the funds being spent.
Most bitcoin transactions requires a valid digital signature to be included in the blockchain, which can only be generated with a secret key; therefore, anyone with a copy of that key has control of the bitcoin. ((("witnesses")))The digital signature used to spend funds is also referred to as a _witness_, a term used in cryptography. The witness data in a bitcoin transaction testifies to the true ownership of the funds being spent.
((("public and private keys", "key pairs")))((("public and private keys", see="also keys and addresses")))Keys come in pairs consisting of a private (secret) key and a public key. Think of the public key as similar to a bank account number and the private key as similar to the secret PIN, or signature on a check, that provides control over the account. These digital keys are very rarely seen by the users of bitcoin. For the most part, they are stored inside the wallet file and managed by the bitcoin wallet software.
@ -58,16 +58,16 @@ The bitcoin private key is just a number. You can pick your private keys randoml
===== Generating a private key from a random number
The first and most important step in generating keys is to find a secure source of entropy, or randomness. Creating a bitcoin key is essentially the same as "Pick a number between 1 and 2^256^." The exact method you use to pick that number does not matter as long as it is not predictable or repeatable. Bitcoin software uses the underlying operating system's random number generators to produce 256 bits of entropy (randomness). Usually, the OS random number generator is initialized by a human source of randomness, which is why you may be asked to wiggle your mouse around for a few seconds. For the truly paranoid, nothing beats dice, pencil, and paper.
The first and most important step in generating keys is to find a secure source of entropy, or randomness. Creating a bitcoin key is essentially the same as "Pick a number between 1 and 2^256^." The exact method you use to pick that number does not matter as long as it is not predictable or repeatable. Bitcoin software uses the underlying operating system's random number generators to produce 256 bits of entropy (randomness). Usually, the OS random number generator is initialized by a human source of randomness, which is why you may be asked to wiggle your mouse around for a few seconds.
More accurately, the private key can be any number between +1+ and +n - 1+, where n is a constant (n = 1.158 * 10^77^, slightly less than 2^256^) defined as the order of the elliptic curve used in bitcoin (see <<elliptic_curve>>). To create such a key, we randomly pick a 256-bit number and check that it is less than +n - 1+. In programming terms, this is usually achieved by feeding a larger string of random bits, collected from a cryptographically secure source of randomness, into the SHA256 hash algorithm, which will conveniently produce a 256-bit number. If the result is less than +n - 1+, we have a suitable private key. Otherwise, we simply try again with another random number.
More precisely, the private key can be any number between +1+ and +n - 1+, where n is a constant (n = 1.158 * 10^77^, slightly less than 2^256^) defined as the order of the elliptic curve used in bitcoin (see <<elliptic_curve>>). To create such a key, we randomly pick a 256-bit number and check that it is less than +n - 1+. In programming terms, this is usually achieved by feeding a larger string of random bits, collected from a cryptographically secure source of randomness, into the SHA256 hash algorithm, which will conveniently produce a 256-bit number. If the result is less than +n - 1+, we have a suitable private key. Otherwise, we simply try again with another random number.
[TIP]
[WARNING]
====
((("warnings and cautions", "random number generation")))Do not write your own code to create a random number or use a "simple" random number generator offered by your programming language. Use a cryptographically secure pseudorandom number generator (CSPRNG) with a seed from a source of sufficient entropy. Study the documentation of the random number generator library you choose to make sure it is cryptographically secure. Correct implementation of the CSPRNG is critical to the security of the keys.
====
The following is a randomly generated private key (k) shown in hexadecimal format (256 binary digits shown as 64 hexadecimal digits, each 4 bits):
The following is a randomly generated private key (k) shown in hexadecimal format (256 bits shown as 64 hexadecimal digits, each 4 bits):
----
1E99423A4ED27608A15A2616A2B0E9E52CED330AC530EDCC32C8FFC6A526AEDD

@ -64,13 +64,13 @@ You may also notice a lot of strange and indecipherable fields and hexadecimal s
((("transactions", "outputs and inputs", id="Tout06")))((("outputs and inputs", "outputs defined")))((("unspent transaction outputs (UTXO)")))((("UTXO sets")))((("transactions", "outputs and inputs", "output characteristics")))((("outputs and inputs", "output characteristics")))The fundamental building block of a bitcoin transaction is a _transaction output_. Transaction outputs are indivisible chunks of bitcoin currency, recorded on the blockchain, and recognized as valid by the entire network. Bitcoin full nodes track all available and spendable outputs, known as _unspent transaction outputs_, or _UTXO_. The collection of all UTXO is known as the _UTXO set_ and currently numbers in the millions of UTXO. The UTXO set grows as new UTXO is created and shrinks when UTXO is consumed. Every transaction represents a change (state transition) in the UTXO set.
((("balances")))When we say that a user's wallet has "received" bitcoin, what we mean is that the wallet has detected a UTXO that can be spent with one of the keys controlled by that wallet. Thus, a user's bitcoin "balance" is the sum of all UTXO that user's wallet can spend and which may be scattered among hundreds of transactions and hundreds of blocks. The concept of a balance is created by the wallet application. The wallet calculates the user's balance by scanning the blockchain and aggregating the value of any UTXO the wallet can spend with the keys it controls. Today, all wallets maintain a database or use a database service to store a quick reference set of all the UTXO they can spend with the keys they control.
((("balances")))When we say that a user's wallet has "received" bitcoin, what we mean is that the wallet has detected a UTXO that can be spent with one of the keys controlled by that wallet. Thus, a user's bitcoin "balance" is the sum of all UTXO that user's wallet can spend and which may be scattered among hundreds of transactions and hundreds of blocks. The concept of a balance is created by the wallet application. The wallet calculates the user's balance by scanning the blockchain and aggregating the value of any UTXO the wallet can spend with the keys it controls. Most wallets maintain a database or use a database service to store a quick reference set of all the UTXO they can spend with the keys they control.
((("satoshis")))A transaction output can have an arbitrary value denominated as a multiple of satoshis. Just like dollars can be divided down to two decimal places as cents, bitcoin can be divided down to eight decimal places as satoshis. Although an output can have any arbitrary value, once created it is indivisible. This is an important characteristic of outputs that needs to be emphasized: outputs are _discrete_ and _indivisible_ units of value, denominated in satoshis. An unspent output can only be consumed in its entirety by a transaction.
((("satoshis")))A transaction output can have an arbitrary (integer) value denominated as a multiple of satoshis. Just like dollars can be divided down to two decimal places as cents, bitcoin can be divided down to eight decimal places as satoshis. Although an output can have any arbitrary value, once created it is indivisible. This is an important characteristic of outputs that needs to be emphasized: outputs are _discrete_ and _indivisible_ units of value, denominated in integer satoshis. An unspent output can only be consumed in its entirety by a transaction.
((("change, making")))If an UTXO is larger than the desired value of a transaction, it must still be consumed in its entirety and change must be generated in the transaction. In other words, if you have a UTXO worth 20 bitcoin and want to pay only 1 bitcoin, your transaction must consume the entire 20-bitcoin UTXO and produce two outputs: one paying 1 bitcoin to your desired recipient and another paying 19 bitcoin in change back to your wallet. As a result of the indivisible nature of transaction outputs, most bitcoin transactions will have to generate change.
Imagine a shopper buying a $1.50 beverage, reaching into her wallet and trying to find a combination of coins and bank notes to cover the $1.50 cost. The shopper will choose exact change if available (e.g., a dollar bill and two quarters), or a combination of smaller denominations (six quarters), or if necessary, a larger unit such as a $5 bank note. If she hands too much money, say $5, to the shop owner, she will expect $3.50 change, which she will return to her wallet and have available for future transactions.
Imagine a shopper buying a $1.50 beverage, reaching into her wallet and trying to find a combination of coins and bank notes to cover the $1.50 cost. The shopper will choose exact change if available (e.g., a dollar bill and two quarters), or a combination of smaller denominations (six quarters), or if necessary, a larger unit such as a $5 note. If she hands too much money, say $5, to the shop owner, she will expect $3.50 change, which she will return to her wallet and have available for future transactions.
Similarly, a bitcoin transaction must be created from a user's UTXO in whatever denominations that user has available. Users cannot cut an UTXO in half any more than they can cut a dollar bill in half and use it as currency. The user's wallet application will typically select from the user's available UTXO to compose an amount greater than or equal to the desired transaction amount.
@ -118,7 +118,7 @@ Now, let's look at Alice's transaction (shown previously in <<transactions_behin
]
----
As you can see, the transaction contains two outputs. Each output is defined by a value and a cryptographic puzzle. In the encoding shown by Bitcoin Core, the value is shown in bitcoin. The second part of each output is the cryptographic puzzle that sets the conditions for spending. Bitcoin Core shows this as +scriptPubKey+ and shows us a human-readable representation of the script.
As you can see, the transaction contains two outputs. Each output is defined by a value and a cryptographic puzzle. In the encoding shown by Bitcoin Core, the value is shown in bitcoin, but in the transaction itself it is recorded as an integer denominated in satoshis. The second part of each output is the cryptographic puzzle that sets the conditions for spending. Bitcoin Core shows this as +scriptPubKey+ and shows us a human-readable representation of the script.
The topic of locking and unlocking UTXO will be discussed later, in <<tx_lock_unlock>>. The scripting language that is used for the script in +scriptPubKey+ is discussed in <<tx_script>>. But before we delve into those topics, we need to understand the overall structure of transaction inputs and outputs.
@ -329,7 +329,7 @@ The data structure of transactions does not have a field for fees. Instead, fees
[[tx_fee_equation]]
.Transaction fees are implied, as the excess of inputs minus outputs:
----
Fees = Sum(Inputs) -- Sum(Outputs)
Fees = Sum(Inputs) Sum(Outputs)
----
This is a somewhat confusing element of transactions and an important point to understand, because if you are constructing your own transactions you must ensure you do not inadvertently include a very large fee by underspending the inputs. That means that you must account for all inputs, if necessary by creating change, or you will end up giving the miners a very big tip!
@ -525,7 +525,7 @@ _Source: https://en.wikipedia.org/wiki/Digital_signature_
In bitcoin's implementation of the ECDSA algorithm, the "message" being signed is the transaction, or more accurately a hash of a specific subset of the data in the transaction (see <<sighash_types>>). The signing key is the user's private key. The result is the signature:
latexmath:[\(Sig = F_{sig}(F_{hash}(m), dA\)]
latexmath:[\(Sig = F_{sig}(F_{hash}(m), dA)\)]
where:
@ -640,7 +640,7 @@ The temporary key pair is based on a random number _k_, which is used as the tem
From there, the algorithm calculates the _S_ value of the signature, such that:
latexmath:[\(S = k^-1 (Hash(m) + dA * R) mod p\)]
_S_ = __k__^-1^ (__Hash__(__m__) + __dA__ * __R__) _mod p_
where:
@ -652,7 +652,7 @@ where:
Verification is the inverse of the signature generation function, using the _R_, _S_ values and the public key to calculate a value _P_, which is a point on the elliptic curve (the ephemeral public key used in signature creation):
latexmath:[\(P = S^-1 * Hash(m) * G + S^-1 * R * Qa\)]
_P_ = __S__^-1^ * __Hash__(__m__) * _G_ + __S__^-1^ * _R_ * _Qa_
where:
@ -667,12 +667,12 @@ Note that in verifying the signature, the private key is neither known nor revea
[TIP]
====
The math of ECDSA is complex and difficult to understand. There are a number of great guides online that might help. Search for "ECDSA explained" or try this one: http://www.instructables.com/id/Understanding-how-ECDSA-protects-your-data/?ALLSTEPS[].
The math of ECDSA is complex and difficult to understand. There are a number of great guides online that might help. Search for "ECDSA explained" or try this one: http://bit.ly/2r0HhGB[].
====
==== The Importance of Randomness in Signatures
((("digital signatures", "randomness in")))As we saw in <<ecdsa_math>>, the signature generation algorithm uses a random key _k_, as the basis for an ephemeral private/public key pair. The value of _k_ is not important, _as long as it is random_. If the same value _k_ is used to produce two signatures on different messages (transactions), then the signing private key can be calculated by anyone. Reuse of the same value for _k_ in a signature algorithm leads to exposure of the private key!
((("digital signatures", "randomness in")))As we saw in <<ecdsa_math>>, the signature generation algorithm uses a random key _k_, as the basis for an ephemeral private/public key pair. The value of _k_ is not important, _as long as it is random_. If the same value _k_ is used to produce two signatures on different messages (transactions), then the signing _private key_ can be calculated by anyone. Reuse of the same value for _k_ in a signature algorithm leads to exposure of the private key!
[WARNING]
====

@ -12,7 +12,7 @@ First, we will look at _multisignature_ scripts. Next, we will examine the secon
[[multisig]]
=== Multisignature
((("transactions", "advanced", "multisignature scripts")))((("transactions", "advanced", id="Tadv07")))((("scripting", "multisignature scripts", id="Smulti07")))((("multisignature scripts")))Multisignature scripts set a condition where N public keys are recorded in the script and at least M of those must provide signatures to release the encumbrance. This is also known as an M-of-N scheme, where N is the total number of keys and M is the threshold of signatures required for validation. For example, a 2-of-3 multisignature is one where three public keys are listed as potential signers and at least two of those must be used to create signatures for a valid transaction to spend the funds. At this time, standard multisignature scripts are limited to at most 15 listed public keys, meaning you can do anything from a 1-of-1 to a 15-of-15 multisignature or any combination within that range. The limitation to 15 listed keys might be lifted by the time this book is published, so check the +isStandard()+ function to see what is currently accepted by the network.
((("transactions", "advanced", "multisignature scripts")))((("transactions", "advanced", id="Tadv07")))((("scripting", "multisignature scripts", id="Smulti07")))((("multisignature scripts")))Multisignature scripts set a condition where N public keys are recorded in the script and at least M of those must provide signatures to unlock the funds. This is also known as an M-of-N scheme, where N is the total number of keys and M is the threshold of signatures required for validation. For example, a 2-of-3 multisignature is one where three public keys are listed as potential signers and at least two of those must be used to create signatures for a valid transaction to spend the funds. At this time, standard multisignature scripts are limited to at most 15 listed public keys, meaning you can do anything from a 1-of-1 to a 15-of-15 multisignature or any combination within that range. The limitation to 15 listed keys might be lifted by the time this book is published, so check the +isStandard()+ function to see what is currently accepted by the network.
The general form of a locking script setting an M-of-N multisignature condition is:
@ -326,9 +326,9 @@ The original meaning of +nSequence+ was never properly implemented and the value
===== nSequence as a consensus-enforced relative timelock
Since the activation of BIP-68, new consensus rules apply for any transaction containing an input whose +nSequence+ value is less than 2^31^ (bit 1<<31 is not set). Programmatically, that means that if the most significant bit (1<<31) is not set, it is a flag that means "relative locktime." Otherwise (bit 1<<31 set), the nSequnce value is reserved for other uses such as enabling +CHECKLOCKTIMEVERIFY+, +nLocktime+, Opt-In-Replace-By-Fee, and other future developments.
Since the activation of BIP-68, new consensus rules apply for any transaction containing an input whose +nSequence+ value is less than 2^31^ (bit 1<<31 is not set). Programmatically, that means that if the most significant bit (1<<31) is not set, it is a flag that means "relative locktime." Otherwise (bit 1<<31 set), the +nSequence+ value is reserved for other uses such as enabling +CHECKLOCKTIMEVERIFY+, +nLocktime+, Opt-In-Replace-By-Fee, and other future developments.
Transaction inputs with +nSequence+ values less than 2^31^ are interpreted as having a relative timelock, meaning that the transaction that includes it is only valid once the input has aged by the relative timelock amount. For example, a transaction with one input with a +nSequence+ relative timelock of 30 blocks is only valid when at least 30 blocks have elapsed from the time the UTXO referenced in the input was mined. Since +nSequence+ is a per-input field, a transaction may contain any number of timelocked inputs, all of which must have sufficiently aged for the transaction to be valid. A valid transaction can include both timelocked inputs (+nSequence+ < 2^31^) and inputs without a relative timelock (+nSequence+ >= 2^31^).
Transaction inputs with +nSequence+ values less than 2^31^ are interpreted as having a relative timelock. Such a transaction is only valid once the input has aged by the relative timelock amount. For example, a transaction with one input with a +nSequence+ relative timelock of 30 blocks is only valid when at least 30 blocks have elapsed from the time the UTXO referenced in the input was mined. Since +nSequence+ is a per-input field, a transaction may contain any number of timelocked inputs, all of which must have sufficiently aged for the transaction to be valid. A transaction can include both timelocked inputs (+nSequence+ < 2^31^) and inputs without a relative timelock (+nSequence+ >= 2^31^).
The +nSequence+ value is specified in either blocks or seconds, but in a slightly different format than we saw used in +nLocktime+. A type-flag is used to differentiate between values counting blocks and values counting time in seconds. The type-flag is set in the 23rd least-significant bit (i.e., value 1<<22). If the type-flag is set, then the +nSequence+ value is interpreted as a multiple of 512 seconds. If the type-flag is not set, the +nSequence+ value is interpreted as a number of blocks.

@ -35,7 +35,7 @@ image::images/mbc2_0802.png["BitcoinNodeTypes"]
=== The Extended Bitcoin Network
((("", startref="BNnode08")))((("", startref="BNtype08")))((("bitcoin network", "extended network activities")))The main bitcoin network, running the bitcoin P2P protocol, consists of between 5,000 and 8,000 listening nodes running various versions of the bitcoin reference client (Bitcoin Core) and a few hundred nodes running various other implementations of the bitcoin P2P protocol, such as BitcoinJ, Libbitcoin, btcd, and bcoin. A small percentage of the nodes on the bitcoin P2P network are also mining nodes, competing in the mining process, validating transactions, and creating new blocks. Various large companies interface with the bitcoin network by running full-node clients based on the Bitcoin Core client, with full copies of the blockchain and a network node, but without mining or wallet functions. These nodes act as network edge routers, allowing various other services (exchanges, wallets, block explorers, merchant payment processing) to be built on top.
((("", startref="BNnode08")))((("", startref="BNtype08")))((("bitcoin network", "extended network activities")))The main bitcoin network, running the bitcoin P2P protocol, consists of between 5,000 and 8,000 listening nodes running various versions of the bitcoin reference client (Bitcoin Core) and a few hundred nodes running various other implementations of the bitcoin P2P protocol, such as Bitcoin Classic, Bitcoin Unlimited, BitcoinJ, Libbitcoin, btcd, and bcoin. A small percentage of the nodes on the bitcoin P2P network are also mining nodes, competing in the mining process, validating transactions, and creating new blocks. Various large companies interface with the bitcoin network by running full-node clients based on the Bitcoin Core client, with full copies of the blockchain and a network node, but without mining or wallet functions. These nodes act as network edge routers, allowing various other services (exchanges, wallets, block explorers, merchant payment processing) to be built on top.
The extended bitcoin network includes the network running the bitcoin P2P protocol, described earlier, as well as nodes running specialized protocols. Attached to the main bitcoin P2P network are a number of pool servers and protocol gateways that connect nodes running other protocols. These other protocol nodes are mostly pool mining nodes (see <<mining>>) and lightweight wallet clients, which do not carry a full copy of the blockchain.
@ -53,7 +53,7 @@ image::images/mbc2_0803.png["BitcoinNetwork"]
((("Corallo, Matt")))A _Bitcoin Relay Network_ is a network that attempts to minimize the latency in the transmission of blocks between miners. The original http://www.bitcoinrelaynetwork.org[Bitcoin Relay Network] was created by core developer Matt Corallo in 2015 to enable fast synchronization of blocks between miners with very low latency. The network consisted of several specialized nodes hosted on the Amazon Web Services infrastructure around the world and served to connect the majority of miners and mining pools.
((("Fast Internet Bitcoin Relay Engine (FIBRE)")))((("Compact Block optimization")))The original Bitcoin Relay Network was replaced in 2016 with the introduction of the _Fast Internet Bitcoin Relay Engine_ or http://bitcoinfibre.org[_FIBRE_], also created by core developer Matt Corallo. FIBRE is a UDP-based relay network that relays blocks within a network of nodes. FIBRE implements _compact block_ (see <<compact_block>>) optimization to further reduce the amount of data transmitted and the network latency.
((("Fast Internet Bitcoin Relay Engine (FIBRE)")))((("Compact Block optimization")))The original Bitcoin Relay Network was replaced in 2016 with the introduction of the _Fast Internet Bitcoin Relay Engine_ or http://bitcoinfibre.org[_FIBRE_], also created by core developer Matt Corallo. FIBRE is a UDP-based relay network that relays blocks within a network of nodes. FIBRE implements _compact block_ optimization to further reduce the amount of data transmitted and the network latency.
((("Falcon Relay Network")))Another relay network (still in the proposal phase) is http://www.falcon-net.org/about[_Falcon_], based on research at Cornell University. Falcon uses "cut-through-routing" instead of "store-and-forward" to reduce latency by propagating parts of blocks as they are received rather than waiting until a complete block is received.
@ -150,7 +150,7 @@ If there is no traffic on a connection, nodes will periodically send a message t
((("bitcoin nodes", "full nodes")))Running a full blockchain node gives you the pure bitcoin experience: independent verification of all transactions without the need to rely on, or trust, any other systems. It's easy to tell if you're running a full node because it requires 20+ gigabytes of persistent storage (disk space) to store the full blockchain. If you need a lot of disk and it takes two to three days to sync to the network, you are running a full node. That is the price of complete independence and freedom from central authority.
((("Satoshi client")))There are a few alternative implementations of full blockchain bitcoin clients, built using different programming languages and software architectures. However, the most common implementation is the reference client Bitcoin Core, also known as the Satoshi client. More than 90% of the nodes on the bitcoin network run various versions of Bitcoin Core. It is identified as "Satoshi" in the sub-version string sent in the +version+ message and shown by the command +getpeerinfo+ as we saw earlier; for example, +/Satoshi:0.8.6/+.
((("Satoshi client")))There are a few alternative implementations of full blockchain bitcoin clients, built using different programming languages and software architectures. However, the most common implementation is the reference client Bitcoin Core, also known as the Satoshi client. More than 75% of the nodes on the bitcoin network run various versions of Bitcoin Core. It is identified as "Satoshi" in the sub-version string sent in the +version+ message and shown by the command +getpeerinfo+ as we saw earlier; for example, +/Satoshi:0.8.6/+.
=== Exchanging "Inventory"

@ -47,7 +47,7 @@ One way to think about the blockchain is like layers in a geological formation,
| 4 bytes | Nonce | A counter used for the Proof-of-Work algorithm
|=======
The nonce, difficulty target, and timestamp are used in the mining process and will be discussed in more detail in <<ch10>>.
The nonce, difficulty target, and timestamp are used in the mining process and will be discussed in more detail in <<mining>>.
[[block_hash]]
=== Block Identifiers: Block Header Hash and Block Height
@ -56,7 +56,7 @@ The nonce, difficulty target, and timestamp are used in the mining process and w
Note that the block hash is not actually included inside the block's data structure, neither when the block is transmitted on the network, nor when it is stored on a node's persistence storage as part of the blockchain. Instead, the block's hash is computed by each node as the block is received from the network. The block hash might be stored in a separate database table as part of the block's metadata, to facilitate indexing and faster retrieval of blocks from disk.
A second way to identify a block is by its position in the blockchain, called the pass:[<span role="keep-together"><em>block height</em>. The first block ever created is at block height 0 (zero) and is the</span>] pass:[<span role="keep-together">same block that was previously referenced by the following block hash</span>] +000000000019d6689c085ae165831e934ff763ae46a2a6c172b3f1b60a8ce26f+. A block can thus be identified two ways: by referencing the block hash or by referencing the block height. Each subsequent block added "on top" of that first block is one position "higher" in the blockchain, like boxes stacked one on top of the other. The block height on January 1, 2014 was approximately 278,000, meaning there were 278,000 blocks stacked on top of the first block created in January 2009.
A second way to identify a block is by its position in the blockchain, called the pass:[<span role="keep-together"><em>block height</em>. The first block ever created is at block height 0 (zero) and is the</span>] pass:[<span role="keep-together">same block that was previously referenced by the following block hash</span>] +000000000019d6689c085ae165831e934ff763ae46a2a6c172b3f1b60a8ce26f+. A block can thus be identified two ways: by referencing the block hash or by referencing the block height. Each subsequent block added "on top" of that first block is one position "higher" in the blockchain, like boxes stacked one on top of the other. The block height on January 1, 2017 was approximately 446,000, meaning there were 446,000 blocks stacked on top of the first block created in January 2009.
Unlike the block hash, the block height is not a unique identifier. Although a single block will always have a specific and invariant block height, the reverse is not true—the block height does not always identify a single block. Two or more blocks might have the same block height, competing for the same position in the blockchain. This scenario is discussed in detail in the section <<forks>>. The block height is also not a part of the block's data structure; it is not stored within the block. Each node dynamically identifies a block's position (height) in the blockchain when it is received from the bitcoin network. The block height might also be stored as metadata in an indexed database table for faster retrieval.
@ -167,15 +167,19 @@ When N data elements are hashed and summarized in a merkle tree, you can check t
The merkle tree is constructed bottom-up. In the following example, we start with four transactions, A, B, C, and D, which form the _leaves_ of the merkle tree, as shown in <<simple_merkle>>. The transactions are not stored in the merkle tree; rather, their data is hashed and the resulting hash is stored in each leaf node as H~A~, H~B~, H~C~, and H~D~:
----
H~A~ = SHA256(SHA256(Transaction A))
----
++++
<pre data-type="codelisting">
H<sub>A</sub> = SHA256(SHA256(Transaction A))
</pre>
++++
Consecutive pairs of leaf nodes are then summarized in a parent node, by concatenating the two hashes and hashing them together. For example, to construct the parent node H~AB~, the two 32-byte hashes of the children are concatenated to create a 64-byte string. That string is then double-hashed to produce the parent node's hash:
----
H~AB~ = SHA256(SHA256(H~A~ + H~B~))
----
++++
<pre data-type="codelisting">
H<sub>AB</sub> = SHA256(SHA256(H<sub>A</sub> + H<sub>B</sub>))
</pre>
++++
The process continues until there is only one node at the top, the node known as the merkle root. That 32-byte hash is stored in the block header and summarizes all the data in all four transactions. <<simple_merkle>> shows how the root is calculated by pair-wise hashes of the nodes.
@ -338,7 +342,7 @@ You can also run on testnet3 with other full-node implementations, such as +btcd
In early 2017, testnet3 supports all the features of mainnet, in addition to Segregated Witness (see <<segwit>>), which has yet to activate on mainnet. Therefore, testnet3 can also be used to test Segregated Witness features.((("", startref="testnet09")))
=== Segnet&#x2014;The Segregated Witness Testnet
==== Segnet&#x2014;The Segregated Witness Testnet
((("segnet")))In 2016, a special-purpose testnet was launched to aid in development and testing of Segregated Witness (aka segwit; see <<segwit>>). This test blockchain is called +segnet+ and can be joined by running a special version (branch) of Bitcoin Core.
@ -347,7 +351,7 @@ In early 2017, testnet3 supports all the features of mainnet, in addition to Seg
In the future it is likely we will see other testnet blockchains that are specifically designed to test a single feature or major architectural change, like segnet.
=== Regtest&#x2014;The Local Blockchain
==== Regtest&#x2014;The Local Blockchain
((("regtest (Regression Testing)")))Regtest, which stands for "Regression Testing," is a Bitcoin Core feature that allows you to create a local blockchain for testing purposes. Unlike testnet3, which is a public and shared test blockchain, the regtest blockchains are intended to be run as closed systems for local testing. You launch a regtest blockchain from scratch, creating a local genesis block. You may add other nodes to the network, or run it with a single node only to test the Bitcoin Core software.

@ -1,7 +1,7 @@
[[ch10]]
[[mining]]
== Mining and Consensus
[[mining]]
=== Introduction
((("mining and consensus", "purpose of")))The word "mining" is somewhat misleading. By evoking the extraction of precious metals, it focuses our attention on the reward for mining, the new bitcoin created in each block. Although mining is incentivized by this reward, the primary purpose of mining is not the reward or the generation of new coins. If you view mining only as the process by which coins are created, you are mistaking the means (incentives) as the goal of the process. Mining is the mechanism that underpins the decentralized clearinghouse, by which transactions are validated and cleared. Mining is the invention that makes bitcoin special, a decentralized security mechanism that is the basis for P2P digital cash.
@ -21,7 +21,7 @@ The process is called mining because the reward (new coin generation) is designe
Bitcoin miners also earn fees from transactions. Every transaction may include a transaction fee, in the form of a surplus of bitcoin between the transaction's inputs and outputs. The winning bitcoin miner gets to "keep the change" on the transactions included in the winning block. Today, the fees represent 0.5% or less of a bitcoin miner's income, the vast majority coming from the newly minted bitcoin. However, as the reward decreases over time and the number of transactions per block increases, a greater proportion of bitcoin mining earnings will come from fees. Gradually, the mining reward will be dominated by transaction fees, which will form the primary incentive for miners. After 2140, the amount of new bitcoin in each block drops to zero and bitcoin mining will be incentivized only by transaction fees.
In this chapter, we will first examine mining as a monetary supply mechanism and then look at the most important function of mining: the decentralized emergent consensus mechanism that underpins bitcoin's security.
In this chapter, we will first examine mining as a monetary supply mechanism and then look at the most important function of mining: the decentralized consensus mechanism that underpins bitcoin's security.
To understand mining and consensus, we will follow Alice's transaction as it is received and added to a block by Jing's mining equipment. Then we will follow the block as it is mined, added to the blockchain, and accepted by the bitcoin network through the process of emergent consensus.
@ -315,8 +315,7 @@ As you can see in <<generation_tx_example>>, the coinbase transaction has a spec
| 32 bytes | Transaction Hash | All bits are zero: Not a transaction hash reference
| 4 bytes | Output Index | All bits are ones: 0xFFFFFFFF
| 1&#x2013;9 bytes (VarInt) | Coinbase Data Size | Length of the coinbase data, from 2 to 100 bytes
| Variable | Coinbase Data | Arbitrary data used for extra nonce and mining tags
in v2 blocks; must begin with block height
| Variable | Coinbase Data | Arbitrary data used for extra nonce and mining tags. In v2 blocks; must begin with block height
| 4 bytes | Sequence Number | Set to 0xFFFFFFFF
|=======
@ -587,7 +586,13 @@ Hashing Power: 127141 hashes per second
As you can see, increasing the difficulty by 1 bit causes a doubling in the time it takes to find a solution. If you think of the entire 256-bit number space, each time you constrain one more bit to zero, you decrease the search space by half. In <<pow_example_outputs>>, it takes 84 million hash attempts to find a nonce that produces a hash with 26 leading bits as zero. Even at a speed of more than 120,000 hashes per second, it still requires 10 minutes on a laptop to find this solution.
The network is attempting to find a block whose header hash is less than +0000000000000000029AB9000000000000000000000000000000000000000000+ at the time of writing. As you can see, there are a lot of zeros at the beginning of that target, meaning that the acceptable range of hashes is much smaller, hence it's more difficult to find a valid hash. It will take on average more than 1.8 septa-hashes (thousand billion billion hashes) per second for the network to discover the next block. That seems like an impossible task, but fortunately the network is bringing 3 exa-hashes per second (EH/sec) of processing power to bear, which will be able to find a block in about 10 minutes on average.((("", startref="Cproof10")))((("", startref="proof10")))
At the time of writing, the network is attempting to find a block whose header hash is less than:
----
0000000000000000029AB9000000000000000000000000000000000000000000
----
As you can see, there are a lot of zeros at the beginning of that target, meaning that the acceptable range of hashes is much smaller, hence it's more difficult to find a valid hash. It will take on average more than 1.8 septa-hashes (thousand billion billion hashes) per second for the network to discover the next block. That seems like an impossible task, but fortunately the network is bringing 3 exa-hashes per second (EH/sec) of processing power to bear, which will be able to find a block in about 10 minutes on average.((("", startref="Cproof10")))((("", startref="proof10")))
[[target_bits]]
==== Target Representation
@ -732,7 +737,7 @@ The independent validation of each new block by every node on the network ensure
Nodes maintain three sets of blocks: those connected to the main blockchain, those that form branches off the main blockchain (secondary chains), and finally, blocks that do not have a known parent in the known chains (orphans). Invalid blocks are rejected as soon as any one of the validation criteria fails and are therefore not included in any chain.
The "main chain" at any time is whichever chain of blocks has the most cumulative Proof-of-Work associated with it. Under most circumstances this is also the chain with the most blocks in it, unless there are two equal-length chains and one has more Proof-of-Work. The main chain will also have branches with blocks that are "siblings" to the blocks on the main chain. These blocks are valid but not part of the main chain. They are kept for future reference, in case one of those chains is extended to exceed the main chain in work. In the next section (<<forks>>), we will see how secondary chains occur as a result of an almost simultaneous mining of blocks at the same height.
The "main chain" at any time is whichever _valid_ chain of blocks has the most cumulative Proof-of-Work associated with it. Under most circumstances this is also the chain with the most blocks in it, unless there are two equal-length chains and one has more Proof-of-Work. The main chain will also have branches with blocks that are "siblings" to the blocks on the main chain. These blocks are valid but not part of the main chain. They are kept for future reference, in case one of those chains is extended to exceed the main chain in work. In the next section (<<forks>>), we will see how secondary chains occur as a result of an almost simultaneous mining of blocks at the same height.
When a new block is received, a node will try to slot it into the existing blockchain. The node will look at the block's "previous block hash" field, which is the reference to the block's parent. Then, the node will attempt to find that parent in the existing blockchain. Most of the time, the parent will be the "tip" of the main chain, meaning this new block extends the main chain. For example, the new block 277,316 has a reference to the hash of its parent block 277,315. Most nodes that receive 277,316 will already have block 277,315 as the tip of their main chain and will therefore link the new block and extend that chain.
@ -740,7 +745,7 @@ Sometimes, as we will see in <<forks>>, the new block extends a chain that is no
If a valid block is received and no parent is found in the existing chains, that block is considered an "orphan." Orphan blocks are saved in the orphan block pool where they will stay until their parent is received. Once the parent is received and linked into the existing chains, the orphan can be pulled out of the orphan pool and linked to the parent, making it part of a chain. Orphan blocks usually occur when two blocks that were mined within a short time of each other are received in reverse order (child before parent).
By selecting the greatest-cumulative-work chain, all nodes eventually achieve network-wide consensus. Temporary discrepancies between chains are resolved eventually as more work is added, extending one of the possible chains. Mining nodes "vote" with their mining power by choosing which chain to extend by mining the next block. When they mine a new block and extend the chain, the new block itself represents their vote.
By selecting the greatest-cumulative-work valid chain, all nodes eventually achieve network-wide consensus. Temporary discrepancies between chains are resolved eventually as more work is added, extending one of the possible chains. Mining nodes "vote" with their mining power by choosing which chain to extend by mining the next block. When they mine a new block and extend the chain, the new block itself represents their vote.
In the next section we will look at how discrepancies between competing chains (forks) are resolved by the independent selection of the greatest-cumulative-work chain.
@ -749,6 +754,11 @@ In the next section we will look at how discrepancies between competing chains (
((("mining and consensus", "assembling and selecting chains of blocks", "blockchain forks")))((("blockchain technology", "blockchain forks", id="BCTfork10")))((("forks", "blockchain fork events", id="forks10")))Because the blockchain is a decentralized data structure, different copies of it are not always consistent. Blocks might arrive at different nodes at different times, causing the nodes to have different perspectives of the blockchain. To resolve this, each node always selects and attempts to extend the chain of blocks that represents the most Proof-of-Work, also known as the longest chain or greatest cumulative work chain. By summing the work recorded in each block in a chain, a node can calculate the total amount of work that has been expended to create that chain. As long as all nodes select the greatest-cumulative-work chain, the global bitcoin network eventually converges to a consistent state. Forks occur as temporary inconsistencies between versions of the blockchain, which are resolved by eventual reconvergence as more blocks are added to one of the forks.
[TIP]
====
The blockchain forks described in this section occur naturally as a result of transmission delays in the global network. We will also look at deliberately induced forks later in this chapter.
====
In the next few diagrams, we follow the progress of a "fork" event across the network. The diagram is a simplified representation of the bitcoin network. For illustration purposes, different blocks are shown as different shapes (star, triangle, upside-down triangle, rhombus), spreading across the network. Each node in the network is represented as a circle.
Each node has its own perspective of the global blockchain. As each node receives blocks from its neighbors, it updates its own copy of the blockchain, selecting the greatest-cumulative-work chain. For illustration purposes, each node contains a shape that represents the block that it believes is currently the tip of the main chain. So, if you see a star shape in the node, that means that the star block is the tip of the main chain, as far as that node is concerned.
@ -797,7 +807,7 @@ All nodes that had chosen "triangle" as the winner in the previous round will si
.Visualization of a blockchain fork event: the network reconverges on a new longest chain
image::images/mbc2_1006.png["Visualization of a blockchain fork event: the network reconverges on a new longest chain"]
It is theoretically possible for a fork to extend to two blocks, if two blocks are found almost simultaneously by miners on opposite "sides" of a previous fork. However, the chance of that happening is very low. Whereas a one-block fork might occur every day, a two-block fork occurs once every few weeks.
It is theoretically possible for a fork to extend to two blocks, if two blocks are found almost simultaneously by miners on opposite "sides" of a previous fork. However, the chance of that happening is very low. Whereas a one-block fork might occur every day, a two-block fork occurs at most once every few weeks.
Bitcoin's block interval of 10 minutes is a design compromise between fast confirmation times (settlement of transactions) and the probability of a fork. A faster block time would make transactions clear faster but lead to more frequent blockchain forks, whereas a slower block time would decrease the number of forks but make settlement slower.((("", startref="Bassemble10")))((("", startref="MACassembling10")))((("", startref="forks10")))((("", startref="BCTfork10")))

@ -126,7 +126,7 @@ Watch us on YouTube: link:$$http://www.youtube.com/oreillymedia$$[]
It is impossible to make a distinction between the bitcoin technology and the bitcoin community, and this book is as much a product of that community as it is a book on the technology. My work on this book was encouraged, cheered on, supported, and rewarded by the entire bitcoin community from the very beginning until the very end. More than anything, this book has allowed me to be part of a wonderful community for two years and I can't thank you enough for accepting me into this community. There are far too many people to mention by name—people I've met at conferences, events, seminars, meetups, pizza gatherings, and small private gatherings, as well as many who communicated with me by Twitter, on reddit, on bitcointalk.org, and on GitHub who have had an impact on this book. Every idea, analogy, question, answer, and explanation you find in this book was at some point inspired, tested, or improved through my interactions with the community. Thank you all for your support; without you this book would not have happened. I am forever grateful.
The journey to becoming an author starts long before the first book, of course. My first language (and schooling) was Greek, so I had to take a remedial English writing course in my first year of university. I owe thanks to Diana Kordas, my English writing teacher, who helped me build confidence and skills that year. Later, as a professional, I developed my technical writing skills on the topic of data centers, writing for _Network World_ magazine. I owe thanks to John Dix and John Gallant, who gave me my first writing job as a columnist at _Network World_ and to my editor Michael Cooney and my colleague Johna Till Johnson who edited my columns and made them fit for publication. Writing 500 words a week for four years gave me enough experience to eventually consider becoming an author. Thanks to Jean de Vera for her early encouragement to become an author and for always believing and insisting that I had a book in me.
The journey to becoming an author starts long before the first book, of course. My first language (and schooling) was Greek, so I had to take a remedial English writing course in my first year of university. I owe thanks to Diana Kordas, my English writing teacher, who helped me build confidence and skills that year. Later, as a professional, I developed my technical writing skills on the topic of data centers, writing for _Network World_ magazine. I owe thanks to John Dix and John Gallant, who gave me my first writing job as a columnist at _Network World_ and to my editor Michael Cooney and my colleague Johna Till Johnson who edited my columns and made them fit for publication. Writing 500 words a week for four years gave me enough experience to eventually consider becoming an author.
Thanks also to those who supported me when I submitted my book proposal to O'Reilly by providing references and reviewing the proposal. Specifically, thanks to John Gallant, Gregory Ness, Richard Stiennon, Joel Snyder, Adam B. Levine, Sandra Gittlen, John Dix, Johna Till Johnson, Roger Ver, and Jon Matonis. Special thanks to Richard Kagan and Tymon Mattoszko, who reviewed early versions of the proposal and Matthew Owain Taylor, who copyedited the proposal.
@ -138,7 +138,7 @@ During the development of the book, I made early drafts available on GitHub and
Once the book was drafted, it went through several rounds of technical review. Thanks to Cricket Liu and Lorne Lantz for their thorough review, comments, and support.
Several bitcoin developers contributed code samples, reviews, comments, and encouragement. Thanks to Amir Taaki and Eric Voskuil for example code snippets and many great comments; Vitalik Buterin and Richard Kiss for help with elliptic curve math and code contributions; Gavin Andresen for corrections, comments, and encouragement; Michalis Kargakis for comments, contributions, and btcd writeup; and Robin Inge for errata submissions improving the second print. In the second edition, I again received a lot of help from many Bitcoin Core developers, including Eric Lombrozo who demystified Segregated Witness, Luke-Jr who helped improve the chapter on transactions, Johnson Lau who reviewed Segregated Witness and other chapters, and many others. I owe thanks to Joseph Poon, Tadge Dryja, and Olaoluwa Osuntokun who explained Lightning Network, reviewed my writing, and answered questions when I got stuck.
Several bitcoin developers contributed code samples, reviews, comments, and encouragement. Thanks to Amir Taaki and Eric Voskuil for example code snippets and many great comments; Chris Kleeschulte for contributing the Bitcore appendix; Vitalik Buterin and Richard Kiss for help with elliptic curve math and code contributions; Gavin Andresen for corrections, comments, and encouragement; Michalis Kargakis for comments, contributions, and btcd writeup; and Robin Inge for errata submissions improving the second print. In the second edition, I again received a lot of help from many Bitcoin Core developers, including Eric Lombrozo who demystified Segregated Witness, Luke-Jr who helped improve the chapter on transactions, Johnson Lau who reviewed Segregated Witness and other chapters, and many others. I owe thanks to Joseph Poon, Tadge Dryja, and Olaoluwa Osuntokun who explained Lightning Network, reviewed my writing, and answered questions when I got stuck.
I owe my love of words and books to my mother, Theresa, who raised me in a house with books lining every wall. My mother also bought me my first computer in 1982, despite being a self-described technophobe. My father, Menelaos, a civil engineer who just published his first book at 80 years old, was the one who taught me logical and analytical thinking and a love of science and engineering.

@ -1,6 +1,6 @@
<section data-type="titlepage">
<h1>Mastering Bitcoin</h1>
<p class="edition">Second Edition</p>
<p class="subtitle">Unlocking Digital Cryptocurrencies</p>
<p class="subtitle">Programming the Open Blockchain</p>
<p class="author">Andreas M. Antonopoulos</p>
</section>

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