Merkle Tree

  • used to efficiently verify and summarize large amounts of data.
  • like a pyramid of hashes, where each level summarizes the information below it.

1. Working mechanism

  1. Data Blocks: The bottom level of the tree consists of hashes of individual data blocks (e.g., transactions, files).
  2. Parent Nodes: Each pair of sibling nodes (hashes) is combined and hashed to create a parent node.
  3. Root Hash: This process continues upwards, creating new parent nodes, until there's only one node left at the top – the Merkle root.

2. Key Properties

  • Tamper-Proof: If even a single bit of data changes in a block, the corresponding hash will change, propagating the change up the tree to the root. This makes it easy to detect any modifications.
  • Efficient Verification: You can verify if a specific data block is part of a larger dataset by only checking a small number of hashes in the Merkle tree path leading to the root, rather than the entire dataset.
  • Data Integrity: The Merkle root acts as a unique fingerprint for the entire dataset. Any change to the data alters the root hash.

3. Uses

  • Blockchain: Merkle trees are used in blockchains to summarize all transactions in a block and ensure their integrity.
  • Peer-to-Peer Networks: They help verify the consistency of files shared across different peers.
  • Distributed Systems: They are used to detect inconsistencies between replicas of data.

4. Key Benefits

  • Efficient Verification: Makes verifying large datasets quick and easy.
  • Data Integrity: Ensures data remains unaltered and secure.
  • Tamper Detection: Quickly detects any changes or inconsistencies in the data.

5. Example

Given a Merkle tree with four data blocks (A, B, C, D):

       Root Hash
     /          \
  Hash AB     Hash CD
 /      \     /      \
Hash A  Hash B Hash C Hash D

If you want to verify that block C is in the original dataset, you only need to check Hash C, Hash CD, and the Root Hash, instead of checking all four blocks.

Tags::cs: