XOR Distance Explained: The Metric Behind Peer-to-Peer Network Routing

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Developer Maneshwar, creator of the open-source AI code review tool git-lrc, published a technical explainer on XOR distance, a concept used in peer-to-peer networking systems like Kademlia. XOR distance is calculated by performing a bitwise XOR operation on two node IDs and reading the result as a plain integer, where a smaller number means nodes are closer. Unlike Hamming distance, XOR distance is position-sensitive, giving greater weight to differing high-order bits. The metric satisfies three mathematical properties — identity, symmetry, and the triangle inequality — which together guarantee that routing through a P2P network will always converge without getting stuck. This mathematical foundation is what makes XOR-based routing tables practical and reliable in distributed systems.

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