The network requires minimal structure to share transactions. Upon reconnection, a node downloads botnet mining bitcoin mac verifies new blocks from other nodes to complete its local copy of the blockchain. An actual bitcoin transaction including the fee from a webbased cryptocurrency exchange to a hardware wallet. A payee can examine each previous transaction to verify the chain of ownership.
Although it is possible to handle bitcoins individually, it would be unwieldy to require a separate transaction for every bitcoin in a transaction. Common transactions will have either a single input from a larger previous transaction or multiple inputs combining smaller amounts, and one or two outputs: one for the payment, and one returning the change, if any, to the sender. Any difference between the total input and output amounts of a transaction goes to miners as a transaction fee. The signature is discovered rather than provided by knowledge. Requiring a proof of work to provide the signature for the blockchain was Satoshi Nakamoto’s key innovation. While the average work required increases in inverse proportion to the difficulty target, a hash can always be verified by executing a single round of double SHA-256. As later blocks are chained after it, the work to change the block would include redoing the work for each subsequent block.
Majority consensus in bitcoin is represented by the longest chain, which required the greatest amount of effort to produce. If a majority of computing power is controlled by honest nodes, the honest chain will grow fastest and outpace any competing chains. To modify a past block, an attacker would have to redo the proof-of-work of that block and all blocks after it and then surpass the work of the honest nodes. The probability of a slower attacker catching up diminishes exponentially as subsequent blocks are added. To compensate for increasing hardware speed and varying interest in running nodes over time, the difficulty of finding a valid hash is adjusted roughly every two weeks.