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Table 7-3. Merkle Tree Efficiency Number of Transactions 16 transactions 512 transactions 2048 transactions 65,535 transactions Approx. Size of Block 4 kilobytes 128 kilobytes 512 kilobytes 16 megabytes Path Size (Hashes) 4 hashes 9 hashes 11 hashes 16 hashes Path Size (Bytes) 128 bytes 288 bytes 352 bytes 512 bytes As you can see from the table above, while the block size increases rapidly, from 4KB with 16 transactions to a block size of 16 MB to fit 65,535 transactions, the merkle path required to prove the inclusion of a transaction increases much more slowly, from 128 bytes to only 512 bytes. With merkle trees, a node can download just the block headers (80 bytes per block) and still be able to identify a transaction’s inclusion in a block by retrieving a small merkle path from a full node, without storing or transmitting the vast majority of the blockchain which may be several gigabytes in size. Nodes which do not maintain a full blockchain, called Simplified Payment Verification or SPV nodes use merkle paths to verify transactions without downloading full blocks. Merkle Trees and Simplified Payment Verification (SPV) Merkle trees are used extensively by Simplified Payment Verification nodes. SPV nodes don’t have all transactions and do not download full blocks, just block headers. In order to verify that a transaction is included in a block, without having to download all the transactions in the block, they use an authentication path, or merkle path. Consider for example an SPV node that is interested in incoming payments to an address contained in its wallet. The SPV node will establish a bloom filter on its connections to peers to limit the transactions received to only those containing addresses of interest. When a peer sees a transaction that matches the bloom filter, it will send that block using a merkleblock message. The merkleblock message contains the block header as well as a merkle path that links the transaction of interest to the merkle root in the block. The SPV node can use this merkle path to connect the transaction to the block and verify that the transaction is included in the block. The SPV node also uses the block header to link the block to the rest of the blockchain. The combination of these two links, between the transaction and block, and between the block and blockchain, proves that the transaction is recorded in the blockchain. All in all, the SPV node will have received less than a kilobyte of data for the block header and merkle path, an amount of data that is more than a thousand times less than a full block (about 1 megabyte currently). Merkle Trees and Simplified Payment Verification (SPV) | 175PDF Image | Mastering Bitcoin
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