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428 lines
42 KiB
Plaintext
[[ch6]]
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== Chapter 6 - The Blockchain & Mining
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*DRAFT - DO NOT SUBMIT ISSUES OR PULL REQUESTS YET PLEASE - CONSTANT CHANGES HAPPENING*
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=== Introduction
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((("blockchain")))
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Bitcoin's blockchain is the global public ledger (list) of all transactions, which everyone in the bitcoin network accepts as the authoritative record of ownership.
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But how can everyone in the network agree on a single universal "truth" about who owns what, without having to trust anyone? All traditional payment systems depend on a trust model that has a central authority providing a clearinghouse service, basically verifying and clearing all transactions. Bitcoin has no central authority, yet somehow every node has a complete copy of a public ledger that it can trust as the authoritative record. The blockchain is not created by a central authority, but is assembled independently by every node in the network. Somehow, every node in the network, acting on information transmitted across insecure network connections can arrive at the same conclusion and assemble a copy of the same public ledger as everyone else. This chapter examines the process by which the bitcoin network achieves global consensus without central authority.
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Satoshi Nakamoto's main invention is the decentralized mechanism for emergent consensus. All the properties of bitcoin, including currency, transactions, payments and the security model that does not depend central authority or trust derive from this invention.
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Bitcoin's consensus emerges from the interplay of three processes that occur independently on nodes across the network:
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* Independent verification of each transaction, by every full node, based on digital signatures (cryptographic proof of ownership)
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* Independent aggregation of those transactions into new blocks by mining nodes, coupled with demonstrated computation through a Proof-of-Work algorithm
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* Independent assembly of the new blocks by every full node into a chain and selection of the chain with the most cumulative computation demonstrated through Proof-of-Work
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In the next few sections we will examine these processes and how they interact to create the emergent property of network-wide consensus that allows any bitcoin node to assemble its own copy of the authoritative, trusted, public, global ledger.
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=== Independent Transaction Verification
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In the previous chapter we saw how wallet software creates transactions by collecting UTXO, providing the appropriate unlocking scripts and then constructing new outputs assigned to a new owner. The resulting transaction is then sent to the neighboring nodes in the bitcoin network so that it may be propagated across the entire bitcoin network.
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Every bitcoin node that receives a transaction will first verify the transaction before forwarding it to its neighbors. This ensures that only valid transactions are propagated across the network, while invalid transactions are discarded at the first node that encounters them.
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Each node verifies transaction against a long checklist of criteria:
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* Check the syntactic correctness of the transaction's data structure
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* Make sure neither lists of inputs or outputs are empty
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* The transaction size in bytes is less than MAX_BLOCK_SIZE
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* Each output value, as well as the total, must be in the legal money range
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* Check none of the inputs have hash=0, N=-1 (coinbase transactions should not be relayed)
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* Check that nLockTime is less than or equal to INT_MAX
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* Check that the transaction size in bytes is greater than or equal to 100
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* Check the number of signature operations contained in the transaction is less than the signature operation limit
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* Reject "nonstandard" transactions: unlocking script (scriptSig) doing anything other than pushing numbers on the stack, or the locking script (scriptPubkey) not matching isStandard forms
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* Check if we already have a matching transaction in the pool, or in a block in the main branch, if so reject this transaction
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* For each input, if the referenced output exists in any other transaction in the pool, reject this transaction.
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* For each input, look in the main branch and the transaction pool to find the referenced output transaction. If the output transaction is missing for any input, this will be an orphan transaction. Add to the orphan transactions, if a matching transaction is not in there already.
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* For each input, if the referenced output transaction is a coinbase output, it must have at least COINBASE_MATURITY (100) confirmations; else reject this transaction
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* For each input, if the referenced output does not exist (e.g. never existed or has already been spent), reject this transaction
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* Using the referenced output transactions to get input values, check that each input value, as well as the sum, are in legal money range
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* Reject if the sum of input values < sum of output values
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* Reject if transaction fee would be too low to get into an empty block
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* Verify the unlocking scripts for each input against the corresponding output locking scripts.
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If all the conditions are met, the transaction is accepted as valid and added to the transaction pool (the list of unconfirmed transactions), matched against the user's wallet if the node is keeping a wallet and finally, relayed to the neighboring nodes to propagate on the network
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By independently verifying each transaction as it is received and before propagating it, every node builds a pool of valid new transactions (the transaction pool), roughly in the same order.
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=== The Blockchain
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Bitcoin's core innovation is the _blockchain_, a distributed, timestamped ledger. The ledger consists of a cryptographically verified chain of _blocks_ in historical order, each of which contains transactions, new coins and a signature (hash) of the previous block. Each full bitcoin node in the network keeps a complete local replica of the blockchain, and independently verify all transactions and balances from that replica.
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In this chapter we will look at the structure of the blockchain and the blocks within it. We will examine various mechanisms for querying the blockchain database to retrieve information about blocks and transactions. Finally, we will see how new blocks are added to the blockchain through the mechanism of distributed consensus based on a Proof-of-Work algorithm, known as "mining".
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The blockchain data structure is an ordered linked list of blocks of transactions. The blockchain can be stored as a flat file, or in a simple database. The bitcoin core client stores the blockchain metadata using Google's LevelDB database.
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The blockchain is made of blocks, which are generated {not are generated - maybe are usually computed / created / produced / found / mined} every ten minutes on average and hold several hundred transactions that occurred during the previous ten minutes. {is this true? is it always those that occurred during the previous 10 min?} Each block is identified by a hash, generated using the SHA256 cryptographic hash algorithm on the header of the block. {who generates this hash?} Each block also {references the previous block's hash - thereby linking the two together} contains a link to the previous block in the chain, by reference to the previous block's hash. Since a block contains a cryptographic hash of the previous block as a reference, the hash proves that the previous block was known when the current block was created. The hash of the previous block is also part of the data that creates the hash of the current block, making the ancestry of each block an immutable part of its identity. The chain of hashes guarantees that a block cannot be modified retrospectively without forcing the re-computation of all following blocks, because a retrospective change in any block would change the hash, thereby changing the reference in the next block whose hash also changes, and so on. As new blocks are added to the chain, they strengthen the immutability of the ledger by effectively incorporating all previous blocks by reference in their cryptographic hash.
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Since each block can only reference one previous block, every chain of blocks can be traced back to the first block every created, the _genesis block_.
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=== The Genesis Block
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The first block in the chain is called the _genesis block_ and was created in 2009. It is the "common ancestor" of all the blocks in the blockchain, meaning that if you start at any block and follow the chain backwards in time you will eventually arrive at the _genesis block_.
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The genesis block has the identifier hash +000000000019d6689c085ae165831e934ff763ae46a2a6c172b3f1b60a8ce26f+. You can search for that block hash in any block explorer website, such as blockchain.info, and you will find a page describing the contents of this block, with a URL containing that hash:
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https://blockchain.info/block/000000000019d6689c085ae165831e934ff763ae46a2a6c172b3f1b60a8ce26f
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https://blockexplorer.com/block/000000000019d6689c085ae165831e934ff763ae46a2a6c172b3f1b60a8ce26f
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Using the Bitcoin Core reference client on the command-line:
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----
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$ bitcoind getblock 000000000019d6689c085ae165831e934ff763ae46a2a6c172b3f1b60a8ce26f
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{
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"hash" : "000000000019d6689c085ae165831e934ff763ae46a2a6c172b3f1b60a8ce26f",
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"confirmations" : 308321,
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"size" : 285,
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"height" : 0,
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"version" : 1,
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"merkleroot" : "4a5e1e4baab89f3a32518a88c31bc87f618f76673e2cc77ab2127b7afdeda33b",
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"tx" : [
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"4a5e1e4baab89f3a32518a88c31bc87f618f76673e2cc77ab2127b7afdeda33b"
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],
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"time" : 1231006505,
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"nonce" : 2083236893,
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"bits" : "1d00ffff",
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"difficulty" : 1.00000000,
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"nextblockhash" : "00000000839a8e6886ab5951d76f411475428afc90947ee320161bbf18eb6048"
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}
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----
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=== Structure of a Block
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[[block_structure]]
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.The structure of a block
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[options="header"]
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|=======
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|Size| Field | Description
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| 4 bytes | Magic Number | A constant (0xD9B4BEF9) used to easily recognize bitcoin blocks
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| 4 bytes | Block Size | The size of the block, in bytes, following this field
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| 80 bytes | Block Header | Several fields form the block header (see below)
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| 1-9 bytes (VarInt) | Transaction Counter | How many transactions follow
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| Variable | Transactions | The transactions recorded in this block
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|=======
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[[block_structure]]
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.The structure of the block header
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[options="header"]
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|=======
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|Size| Field | Description
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| 4 bytes | Version | A version number to track software/protocol upgrades
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| 32 bytes | Previous Block Hash | A reference to the hash of the previous (parent) block in the chain
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| 32 bytes | Merkle Root | A hash of the root of the Merkle-Tree of this block's transactions
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| 4 bytes | Timestamp | The approximate creation time of this block (seconds from Unix Epoch)
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| 4 bytes | Difficulty Target | The proof-of-work algorithm difficulty target for this block
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| 4 bytes | Nonce | A counter used for the proof-of-work algorithm
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|=======
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=== Linking Blocks in a Chain
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[[chain_of_blocks]]
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.Blocks linked in a chain, by reference to the previous block header hash
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image::images/ChainOfBlocks.png["chain_of_blocks"]
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=== Merkle Trees
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A _Merkle Tree_ is a data structure created by Ralph Merkle used for efficiently summarizing and verifying the integrity of large sets of data. Merkle Trees are binary trees containing cryptographic hashes. When N data elements are hashed and summarized in a Merkle Tree, you can check to see if any one data element is included in the tree with at most +log(N)+ calculations, making this a very efficient data structure.
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[[simple_merkle]]
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.Calculating the nodes in a Merkle Tree
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image::images/MerkleTree.png["merkle_tree"]
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[[merkle_tree_odd]]
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.An even number of data elements, by duplicating one data element
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image::images/MerkleTreeOdd.png["merkle_tree_odd"]
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[[merkle_tree_large]]
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.A Merkle Tree summarizing many data elements
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image::images/MerkleTreeLarge.png["merkle_tree_large"]
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[[merkle_tree_path]]
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.A Merkle Path used to prove inclusion of a data element
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image::images/MerkleTreePathToK.png["merkle_tree_path"]
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=== Proof-of-Work (Mining) and Consensus
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((("mining")))
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Mining is the process by which new bitcoin is added to the money supply. Mining also serves to secure the bitcoin system against fraudulent transactions or transactions spending the same amount of bitcoin more than once, known as a double-spend. Miners act as a decentralized clearinghouse, validating new transactions and recording them on the global ledger. A new block, containing transactions which occurred since the last block, is "mined" every 10 minutes thereby adding those transactions to the blockchain. Transactions that become part of a block and added to the blockchain are considered "confirmed", which allows the new owners of bitcoin to spend the bitcoin they received in those transactions. Miners receive two types of reward for mining: new coins created with each new block and transaction fees from all the transactions included in the block. To earn this reward, the miners compete to solve a difficult mathematical problem based on a cryptographic hash algorithm. The solution to the problem, called the Proof-of-Work, is included in the new block and acts as proof that the miner expended significant computing effort. The competition to solve the Proof-of-Work algorithm to earn reward and the right to record transactions on the blockchain is the basis for bitcoin's security model.
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In Chapter 1 we introduced Jing, a computer engineering student in Shanghai China, who is a bitcoin miner. Jing earns bitcoin by running a "mining rig" which is a specialized computer-hardware system designed to mine bitcoins. Jing started mining for bitcoin in 2010, when mining was not as competitive as it is today. At that time, Jing could mine bitcoin using a desktop computer. Today, he uses a much more powerful mining system based on Application Specific Integrated Circuits (ASICs), which are specialized silicon chips designed exclusively for one application - bitcoin mining. Over time, the way Jing participates in the mining process has changed slightly, but the fundamentals remain the same. We will start by looking at how Jing mined in 2010, when things were simpler and then look at how he mines today, as bitcoin mining has become a more complex and competitive activity.
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Bitcoin's security is underpinned by computation. New blocks are added to the blockchain through a consensus mechanism called the _Proof-of-Work_ (PoW) that requires a predictable computational effort, one that takes approximately 10 minutes to solve on average. Specialized bitcoin nodes called _miners_ validate transactions and collect them into blocks, then attempt to find the solution that satisfies the Proof-of-Work algorithm. The first miner to find such a solution, propagates the newly created block across the network. All other nodes on the network verify that the new block contains valid transactions and satisfies the Proof-of-Work algorithm, then they add it to the blockchain, thereby extending it by one block. The miners add a special coin generation transaction into the blocks they build, which creates new bitcoin from nothing and is payable to the miner's own bitcoin address. Once the block is accepted as valid by the entire network, that transaction is also recorded on the blockchain, thereby rewarding the miner for the computational effort it took to satisfy the Proof-of-Work. This de-centralized consensus mechanism, based on a global competition and requiring computation to create new blocks, is the basis for the security of the bitcoin transaction ledger and also for the issuance of new bitcoin. {move the last sentence to the beginning of the paragraph - to explain more about security} The equilibrium between the incentive of bitcoin reward and the immense computing effort required to win it force the participants to behave honestly, without the need for a centralized clearinghouse or currency issuer. The bitcoin consensus mechanism is a dynamic, self-regulating and completely decentralized security model that operates at very large scale.
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The process of new coin generation is called mining, because the reward is designed to simulate diminishing returns, just like mining for precious metals. Bitcoin's money supply is created through mining, just like a central bank issues new money by printing bank notes. The amount of newly created bitcoin a miner can add to a block decreases approximately every four years (or precisely every 210,000 blocks). It started at 50 bitcoin per block in January of 2009 and halved to 25 bitcoin per block in November of 2012. It will halve again to 12.5 bitcoin per block sometime in 2016. Based on this formula, bitcoin mining rewards decrease exponentially until approximately the year 2140 when all 21 million bitcoin have been issued.
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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 bitcoin miner gets to "keep the change" on the transactions.
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Today the fees represent 1% or less of a bitcoin miner's income, the vast majority coming from the newly minted bitcoins. 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. After 2140 all bitcoin miner earnings will be in the form of transaction fees.
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==== Mining New Bitcoins
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Bitcoins are "minted" during the creation of each block at a fixed and diminishing rate. Each block, generated on average every 10 minutes, contains a _reward_ that consists of entirely new bitcoins. The reward was 50BTC for the first four years of operation of the network. Every four years the reward is decreased by 50%, resulting in a diminishing rate of issuance over time. In 2012, the reward was decreased to 25BTC and it will decrease again to 12.5BTC in 2016. By approximately 2140, the last fragments of a bitcoin will be mined, for a total of 21 million bitcoins. {Clarify coinbase transaction as first - includes the reward and transactions. Discuss how the coinbase transaction will change in 2140}
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The finite and diminishing issuance creates a fixed monetary supply that resists inflation. Unlike a fiat currency which can be printed in infinite numbers by a central bank, bitcoin can never be inflated by printing.
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===== Monetary supply
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Bitcoin's monetary supply is defined as the number of coins in circulation (minted). Like any other currency, this measure of monetary supply is called M0, which represents the narrowest measure of the money supply. Just like any other currency, bitcoin can also have a _fractional reserve banking_ which means that an organization can trade bitcoins "off blockchain" which are not part of the M0 monetary measure, but of the broader monetary supply measures M1-M3. {have you explained M1-M3?}{also, i think you should explain fractional reserve banking a bit here}
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While the total bitcoins in circulation will not exceed 21m, that monetary base can support a much broader economy through fractional reserve banking and expansion of the available credit.
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===== Deflationary Money
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The most important and debated consequence of a fixed and diminishing monetary issuance is that the currency will tend to be inherently _deflationary_. Deflation is the phenomenon of appreciation of value due to a mismatch in supply and demand that drives up the value (and exchange rate) of a currency. The opposite of inflation, price deflation means that your money has more purchasing power over time.
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Many economists argue that a deflationary economy is a disaster that should be avoided at all costs. That is because in a period of rapid deflation, the incentives for regular people are to hoard the money and not spend it, hoping that prices will fall. Such a phenomenon unfolded during Japan's "Lost Decade", when a complete collapse of demand pushed the currency into a deflationary spiral.
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Bitcoin experts argue that deflation is not bad *per se*. Rather, we associate deflation with a collapse in demand because that is the only example of deflation we have to study. In a fiat currency with the possibility of unlimited printing, it is very difficult to enter a deflationary spiral unless there is a complete collapse in demand and an unwillingness to print money. Deflation in bitcoin is not caused by a collapse in demand, but by predictably constrained supply.
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In practice, it has become evident that the hoarding instinct caused by a deflationary currency can be overcome by discounting from vendors, until the discount overcomes the hoarding instinct of the buyer. Since the seller is also motivated to hoard, the discount becomes the equilibrium price at which the two hoarding instincts are matched. With discounts of 30% on the bitcoin price, most bitcoin retailers are not experiencing difficulty overcoming the hoarding instinct and generating revenue. It remains to be seen whether the deflationary aspect of the currency is really a problem when it is not driven by rapid economic retraction.
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==== Consensus Mechanism
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((("Mining", "Proof of Work", "SHA256", "hashing power", "difficulty", "nonce")))
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Bitcoin is secured through computation and consensus. For a new block of transactions to be added to the network, someone must first find a solution to a specific mathematical problem called the _proof of work_. Bitcoin's proof-of-work algorithm is based on the Secure Hash Algorithm (SHA-256) and consists of trying to generate a block whose hash is less than a specific number. Let's see how this works in practice.
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A hashing algorithm is a cryptographic function that takes an arbitrary length input (a text message or binary file), and produces a fixed-size output called the _hash_ or _digest_. It is trivial to verify the hash of any input, but it is computationally infeasible to predict or select an input to produce a desired hash. It's a one-way function, so it can easily work one way but is impossible to reverse.
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[[figure_sha256_logical]]
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.The Secure Hash Algorithm (SHA-256)
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image::images/sha256-logical.png["SHA256"]
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With SHA-256, the output is always 256 bits long, regardless of the size of the input. In the example below, we will use the Python interpreter to calculate the SHA256 hash of the phrase "I am Satoshi Nakamoto".
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[[sha256_example1]]
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.SHA256 Example
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++++
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<screen>
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$ python
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Python 2.7.1
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>>> <userinput>import hashlib</userinput>
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>>> <userinput>print hashlib.sha256("I am Satoshi Nakamoto").hexdigest()</userinput>
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5d7c7ba21cbbcd75d14800b100252d5b428e5b1213d27c385bc141ca6b47989e
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</screen>
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++++
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The example shows that if we calculate the hash of the phrase +"I am Satoshi Nakamoto"+, it will produce +5d7c7ba21cbbcd75d14800b100252d5b428e5b1213d27c385bc141ca6b47989e+. This 256-bit number is the _hash_ or _digest_ of the phrase and depends on every part of the phrase. Adding a single letter, punctuation mark or any character will produce a different hash.
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Now, if we vary the phrase, we will expect to see completely different hashes. Let's try that by adding a number to the end of our phrase, using this simple Python script
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[[sha256_example_generator]]
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.SHA256 A script for generating many hashes by iterating on a nonce
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====
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[source, python]
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----
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include::code/hash_example.py[]
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----
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====
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Running this will produce the hashes of several phrases, made different by adding a unique number, called a _nonce_ at the end of the text. By incrementing the nonce, we can get different hashes.
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((("nonce")))
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[[sha256_example_generator_output]]
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.SHA256 Output of a script for generating many hashes by iterating on a nonce
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====
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++++
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<screen>
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$ <userinput>python hash_example.py</userinput>
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I am Satoshi Nakamoto0 => a80a81401765c8eddee25df36728d732acb6d135bcdee6c2f87a3784279cfaed
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I am Satoshi Nakamoto1 => f7bc9a6304a4647bb41241a677b5345fe3cd30db882c8281cf24fbb7645b6240
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I am Satoshi Nakamoto2 => ea758a8134b115298a1583ffb80ae62939a2d086273ef5a7b14fbfe7fb8a799e
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I am Satoshi Nakamoto3 => bfa9779618ff072c903d773de30c99bd6e2fd70bb8f2cbb929400e0976a5c6f4
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I am Satoshi Nakamoto4 => bce8564de9a83c18c31944a66bde992ff1a77513f888e91c185bd08ab9c831d5
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I am Satoshi Nakamoto5 => eb362c3cf3479be0a97a20163589038e4dbead49f915e96e8f983f99efa3ef0a
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I am Satoshi Nakamoto6 => 4a2fd48e3be420d0d28e202360cfbaba410beddeebb8ec07a669cd8928a8ba0e
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I am Satoshi Nakamoto7 => 790b5a1349a5f2b909bf74d0d166b17a333c7fd80c0f0eeabf29c4564ada8351
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I am Satoshi Nakamoto8 => 702c45e5b15aa54b625d68dd947f1597b1fa571d00ac6c3dedfa499f425e7369
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I am Satoshi Nakamoto9 => 7007cf7dd40f5e933cd89fff5b791ff0614d9c6017fbe831d63d392583564f74
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I am Satoshi Nakamoto10 => c2f38c81992f4614206a21537bd634af717896430ff1de6fc1ee44a949737705
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I am Satoshi Nakamoto11 => 7045da6ed8a914690f087690e1e8d662cf9e56f76b445d9dc99c68354c83c102
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I am Satoshi Nakamoto12 => 60f01db30c1a0d4cbce2b4b22e88b9b93f58f10555a8f0f4f5da97c3926981c0
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I am Satoshi Nakamoto13 => 0ebc56d59a34f5082aaef3d66b37a661696c2b618e62432727216ba9531041a5
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I am Satoshi Nakamoto14 => 27ead1ca85da66981fd9da01a8c6816f54cfa0d4834e68a3e2a5477e865164c4
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I am Satoshi Nakamoto15 => 394809fb809c5f83ce97ab554a2812cd901d3b164ae93492d5718e15006b1db2
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I am Satoshi Nakamoto16 => 8fa4992219df33f50834465d30474298a7d5ec7c7418e642ba6eae6a7b3785b7
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I am Satoshi Nakamoto17 => dca9b8b4f8d8e1521fa4eaa46f4f0cdf9ae0e6939477e1c6d89442b121b8a58e
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I am Satoshi Nakamoto18 => 9989a401b2a3a318b01e9ca9a22b0f39d82e48bb51e0d324aaa44ecaba836252
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I am Satoshi Nakamoto19 => cda56022ecb5b67b2bc93a2d764e75fc6ec6e6e79ff6c39e21d03b45aa5b303a
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</screen>
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++++
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====
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Each phrase produces a completely different hash result. They seem completely random, but you can re-produce the exact results in this example on any computer with Python and see the same exact hashes.
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To make a challenge out of this algorithm, let's set an arbitrary target: find a phrase starting with "I am Satoshi Nakamoto" which produces a hash that starts with a zero. In numerical terms, that means finding a hash value that is less than +0x1000000000000000000000000000000000000000000000000000000000000000+. Fortunately, this isn't so difficult! If you notice above, we can see that the phrase "I am Satoshi Nakamoto13" produces the hash 0ebc56d59a34f5082aaef3d66b37a661696c2b618e62432727216ba9531041a5, which fits our criteria. It only took 13 attempts to find it.
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==== Proof-of-Work Algorithm
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Bitcoin's proof-of-work is very similar to the problem above. First, a miner will generate a new block, containing:
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((("block")))
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* Transactions waiting to be included in a block
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* The hash from the previous block
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* A _nonce_
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The only part a miner can modify is the nonce. Now, the miner will calculate the hash of this block's header and see if it is smaller than the current _target difficulty_. The miner will likely have to try many nonces before finding one that results in a low enough hash.
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A very simplified proof-of-work algorithm is implemented in Python here:
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((("proof of work")))
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[[pow_example1]]
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.Simplified Proof-Of-Work Implementation
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====
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[source, python]
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----
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include::code/proof-of-work-example.py[]
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----
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====
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Running the code above, you can set the desired difficulty (in bits, how many of the leading bits must be zero) and see how long it takes for your computer to find a solution. In the following examples, you can see how it works on an average laptop:
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[[pow_example_outputs]]
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.Running the proof-of-work example for various difficulties
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====
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++++
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<screen>
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$ <userinput>python proof-of-work-example.py</userinput>
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Difficulty: 1 (0 bits)
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[...]
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Difficulty: 8 (3 bits)
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Starting search...
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Success with nonce 9
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Hash is 1c1c105e65b47142f028a8f93ddf3dabb9260491bc64474738133ce5256cb3c1
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Elapsed Time: 0.0004 seconds
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Hashing Power: 25065 hashes per second
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Difficulty: 16 (4 bits)
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Starting search...
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Success with nonce 25
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Hash is 0f7becfd3bcd1a82e06663c97176add89e7cae0268de46f94e7e11bc3863e148
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Elapsed Time: 0.0005 seconds
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Hashing Power: 52507 hashes per second
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Difficulty: 32 (5 bits)
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Starting search...
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Success with nonce 36
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Hash is 029ae6e5004302a120630adcbb808452346ab1cf0b94c5189ba8bac1d47e7903
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Elapsed Time: 0.0006 seconds
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Hashing Power: 58164 hashes per second
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[...]
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Difficulty: 4194304 (22 bits)
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Starting search...
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Success with nonce 1759164
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Hash is 0000008bb8f0e731f0496b8e530da984e85fb3cd2bd81882fe8ba3610b6cefc3
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Elapsed Time: 13.3201 seconds
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Hashing Power: 132068 hashes per second
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Difficulty: 8388608 (23 bits)
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Starting search...
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Success with nonce 14214729
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Hash is 000001408cf12dbd20fcba6372a223e098d58786c6ff93488a9f74f5df4df0a3
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Elapsed Time: 110.1507 seconds
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Hashing Power: 129048 hashes per second
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Difficulty: 16777216 (24 bits)
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Starting search...
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Success with nonce 24586379
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Hash is 0000002c3d6b370fccd699708d1b7cb4a94388595171366b944d68b2acce8b95
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Elapsed Time: 195.2991 seconds
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Hashing Power: 125890 hashes per second
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[...]
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Difficulty: 67108864 (26 bits)
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Starting search...
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Success with nonce 84561291
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Hash is 0000001f0ea21e676b6dde5ad429b9d131a9f2b000802ab2f169cbca22b1e21a
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Elapsed Time: 665.0949 seconds
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Hashing Power: 127141 hashes per second
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</screen>
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++++
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====
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As you can see, increasing the difficulty by 1 bit causes an exponential increase 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 the example above, 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 thousand hashes per second, it still requires ten minutes on a consumer laptop to find this solution.
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At the time of writing this, the network is attempting to find a block whose header hash is less than +000000000000004c296e6376db3a241271f43fd3f5de7ba18986e517a243baa7+. As you can see, there are a lot of zeroes at the beginning of that hash, meaning that the acceptable range of hashes is much smaller, hence more difficult to find a valid hash. It will take on average more 150 quadrillion hash calculations per second for the network to discover the next block. That seems like an impossible task, but fortunately the network is bringing 500 TH/sec of processing power to bear, which will be able to find a block in about 10 minutes on average.
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==== Difficulty Target and Re-Targetting
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Bitcoin is tuned to generate blocks approximately every 10 minutes. This is achieved by automatically adjusting the target difficulty to account for increases and decreases in the available computing power on the network. This process occurs automatically and on every full node independently. Each node recalculates the expected difficulty every 2106 blocks, based on the time it took to hash the previous 2106 blocks. In simple terms: If the network is finding blocks faster than every 10 minutes, the difficulty increases. If block discovery is slower than expected, the difficulty will decrease.
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{miners that are on mining pools get the difficulty (do not calculate difficulty independently) they are given the difficulty from the mining pool so they don't have to calculate the difficulty themselves and they are actually given a lower difficulty target. There are essentially two classifications of miners today - pool miners and solo miners. Solo miners run a full node and compete on their own. Whereas pool miners collaborate with one another and compete against the network as a team, while sharing the reward. The reason miners join pools - solo miners need an enormous amount of hashing power in order to have even teh slimmest chance of finding a solution to a block which will make their earnings erratic. By participating in a pool, miners get smaller shares but a more regular share of rewards, reducing uncertainty. Solo mining is becoming obsolete, as the difficulty increases the likelihood of a solo miner finding a solution is more like winning the lottery.}
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{ASIC miners do not run full nodes. Full nodes independently calculate the difficulty using the same equation on the same block, arriving at the same result for the new difficulty. Retargeting the difficulty at block heights that are multiples of 2106 from the genesis block. The equation for retargeting difficulty measures the time it took to find the last 2106 blocks, compares that to the expected time of 21,060 minutes (based upon a desired 10 minute block time), the difference is calculated as a percentage and a corresponding percentage adjustment is made to the difficulty. To avoid extreme volatility in the difficulty, the retargeting adjustment cannot exceed {X%} per retargeting. The difficulty will only be retargeted up or down by maximum of {X%} per cycle. If the requierd difficulty adjustment is greater than the maximum it will be reflected in the next retargeting adjustment as the imbalance will persist through the next 2106 blocks. Large discrepancies between hashing power and difficulty may take several cycles to even out. This leads to a potential problem which has been observed in alt coins, where very large changes in difficulty can cause hashing power to collapse leading to excessively long blocktimes. If the aggregate network hashing power collapses due to the departure of many miners simultaneously, the remaining hashing power may be insufficient to meet the difficulty target leading to excessively long block intervals. Since retargeting is not a function of time but rather block number, a large hashing deficit can mean the next cycle is very far in the future. Usually this is caused for two reasons - scenario one - entry for a brief period of a lot of hashing which temporarily increases the difficulty, followed by the departure of that hashing, resulting in a collapse of block solutions. Essentially a hashing pump and dump. Usually a deliberate attack. This is not a concern in bitcoin because new hashing power introduced into the network will not effect the average enough to cause a major change in difficulty. The other scenario in which hashing power can collapse is a crash in bitcoin price, making mining unprofitable. (If the miner cannot pay their electricity bill, the miner will leave the network.) This is a weakness of the protocol, as an insurmountable hashing deficit could occur with a precipitous collapse in price and corresponding reduction in available hashing power. The network would be unable to recover because ... }
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[TIP]
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====
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The difficulty of finding a bitcoin block is approximately '10 minutes of processing' for the entire network, based on the time it took to find the previous 2106 blocks, adjusted every 2106 blocks.
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====
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Note that the target difficulty is independent of the number of transactions or the value of transactions. This means that the amount of hashing power and therefore electricity expended to secure bitcoin is also entirely independent of the number of transactions. Bitcoin can scale up, achieve broader adoption and remain secure without any increase in hashing power from today's level. The increase in hashing power represents market forces as new miners enter the market to compete for the reward. As long as enough hashing power is under the control of miners acting honestly in pursuit of the reward, it is enough to prevent "takeover" attacks and therefore it is enough to secure bitcoin.
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The target difficulty is closely related to the cost of electricity and the exchange rate of bitcoin vis-a-vis the currency used to pay for electricity. High performance mining systems are about as efficient as possible with the current generation of silicon fabrication, converting electricity into hashing computation at the highest rate possible. The primary influence on the mining market is the price of one kilowatt-hour in bitcoin, as that determines the profitability of mining and therefore the incentives to enter or exit the mining market.
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==== Blockchain Forks
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{Discuss chain selection: As new blocks are found they are added to the chain. Each full node constructs a chain and calculates the cumulative difficulty of that chain. As blocks are constructed and propagated across the network,}
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{create a graphic showing propagating transaction}
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{Because the blockchain is a decentralized data structure, different copies of it are not always consistent. Blocks may arrive at different nodes at different times, causing them to have a different perspective o ft 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 difficulty chain, by adding the difficulty recorded in each block for a chain a node can calculate the total amount of PoW that has been expended to create that chain. As long as all nodes select the longest, i.e. the longest cumulative difficulty 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 the eventual reconvergence.}
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{Bitcoin's _consensus mechanism_, which creates the is comprised of the independent validation of transactions by every node, the cumulative work of the miners, and the network convergence upon the greatest difficulty chain. The interplay of these three processes manifests the emergent property of consensus that allows for a global decentralized public ledger without a central authority. which creates one global public ledger, emerges as a property of (1) the selection of the greatest difficulty chain. This chapter is about the emergent property of consensus. This consensus is created by the interplay of three processes - (1) ,2,3. The emergent property of network-wide consensus is what establishes a trusted decentralized global public ledger. Satohsi's invention was not proof of work, elliptic curve cryptography. Satoshi's invention was how the interplay of these processes creates emergent consensus in a decentralized network without the need for a centralized trusted authority.}
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A "fork" occurs whenever there are two candidate blocks competing to form the longest blockchain. This occurs under normal conditions whenever two miners solve the Proof-of-Work algorithm within a short period of time from each other. As both miners discover a solution for their respective candidate blocks, they immediately broadcast their own "winning" block to their immediate neighbors who begin propagating the block across the network. Each node that receives a valid block will incorporate it into their blockchain, extending the blockchain by one block. If that node later sees another candidate block extending the same parent, they ignore the second candidate. As a result, some nodes will "see" one candidate block first, while other nodes will see the other candidate block and two competing versions of the blockchain will emerge.
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{create a graphic with the globe, two miners each - bitcoin topology map}
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Let's assume for example that a miner in Canada finds a proof-of-work solution for block "A" that extends the blockchain from height 315000 to height 315001, building on top of parent block "P". Almost simultaneously, an Australian miner who was also extending block "P", finds a solution for block "B", their candidate block. Now, there are two possible candidates for block height 315001, one we call "A", originating in Canada and one we call "B", originating in Australia. Both blocks are valid, both blocks contain a valid solution to the proof of work, both blocks extend the same parent. Both blocks likely contain most of the same transactions, with only perhaps a few differences in the order of transactions. From that moment, the bitcoin network nodes closest (topologically, not geographically) to the Canadian node will hear about block "A" first and will create a new greatest-cumulative-difficulty blockchain with height 315001 and "A" as the last block in the chain (e.g. P-A), ignoring the candidate block "B" that arrives a bit later. Meanwhile, nodes closer to the Australian node will take that block as the winner and extend the blockchain to height 315001 with "B" as the last block (e.g. P-B), ignoring "A" when it arrives a few seconds later. Any miners that saw "A" first will immediately build candidate blocks that reference "A" as the parent and start trying to solve the PoW for these candidate blocks. The miners that accepted "B" instead, will start extending that chain.
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|
----
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|
Block "A" extends the chain: P-A
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|
BLock "B" also extends the chain: P-B
|
|
----
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|
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|
Forks are almost always resolved within one block. As part of the network's hashing power is dedicated to building on top of "A" as the parent, another part of the hashing power is focused on building on top of "B". Even if the hashing power is almost evenly split, it is likely that one set of miners will find a solution and propagate it before the other set of miners have found any solutions. Let's say for example that the miners building on top of "B" find a new block "X" that extends the chain to height 315002 (e.g. P-B-X). They immediately propagate this new block and the entire network sees it as a valid solution. All nodes that had chosen "B" as the winner in the previous round will simply extend the chain one more block. The nodes that chose "A" as the winner, however, will now see a block extending an even longer chain (greater-cumulative difficulty), that does not include "A" in it. Any miners working on extending the chain P-A will now stop that work because their candidate block is an "orphan", as its parent "A" is no longer on the longest chain. The block "A" is removed from the blockchain by any nodes that had accepted it and any transactions within it are queued up again for processing in the next block. The entire network re-converges on a single blockchain P-B-X, with "X" as the last block in the chain. All miners immediately start working on candidate blocks that reference "X" as their parent to extend the P-B-X chain.
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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 may occur every week, a two-block fork is exceedingly rare.
|
|
----
|
|
Block "X" extends the chain: P-B-X
|
|
Old chain is now "shorter": P-A
|
|
----
|
|
|
|
[TIP]
|
|
====
|
|
As of version 0.9, Bitcoin Core's +alertnotify+ option will send alerts whenever a 6-block or longer fork occurs
|
|
====
|
|
|
|
[[chainforks]]
|
|
.A blockchain showing two instances of forking
|
|
image::images/BlockChainWithForks.png["chainforks"]
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|
|
==== Highest Difficulty Chain Selection
|
|
|
|
|
|
==== Competition and Coinbase
|
|
==== Mining Pools
|
|
===== Managed Pools
|
|
===== P2Pool
|
|
==== Mining Economics
|
|
==== Consensus Attacks
|
|
===== 51% Attack
|
|
===== Selfish Mining Attack
|
|
|
|
==== Normal Forks
|
|
==== Soft Forks
|
|
==== Hard Forks
|
|
==== Unusual Forks
|