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Merkle trees. Bitcoin uses essentially the data structure in Haber and Stornetta's 1991 and 1997 papers, shown in simplified form in Figure 2 (Nakamoto was presumably unaware of Benaloh and de Mare's work). Of course, in bitcoin, transactions take the place of documents. In each block's Merkle tree, the leaf nodes are transactions, and each internal node essentially consists of two pointers. This data structure has two important properties. First, the hash of the latest block acts as a digest. A change to any of the transactions (leaf nodes) will necessitate changes propagating all the way to the root of the block, and the roots of all following blocks. Thus, if you know the latest hash, you can download the rest of the ledger from an untrusted source and verify that it has not changed. A similar argument establishes another important property of the data structure—that is, someone can efficiently prove to you that a particular transaction is included in the ledger. This user would have to send you only a small number of nodes in that transaction's block (this is the point of the Merkle tree), as well as a small amount of information for every following block. The ability to efficiently prove inclusion of transactions is highly desirable for performance and scalability.бесплатный bitcoin bitcoin nvidia виталик ethereum bitcoin strategy magic bitcoin In the 1980s, Dr David Chaum wrote extensively on topics such as anonymous digital cash and pseudonymous reputation systems, which he described in his paper 'Security without Identification: Transaction Systems to Make Big Brother Obsolete'.

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