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arXiv · 2504.10944

Cartesian Merkle Tree

Artem Chystiakov·Oleh Komendant·Kyrylo Riabov
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Abstract

This paper introduces the Cartesian Merkle Tree, a deterministic data structure that combines the properties of a Binary Search Tree, a Heap, and a Merkle tree. The Cartesian Merkle Tree supports insertions, updates, and removals of elements in $O(\log n)$ time, requires $n$ space, and enables membership and non-membership proofs via Merkle-based authentication paths. This structure is particularly suitable for zero-knowledge applications, blockchain systems, and other protocols that require efficient and verifiable data structures.

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Artem Chystiakov, Oleh Komendant, Kyrylo Riabov. 2025-04-15. Cartesian Merkle Tree. https://arxiv.org/abs/2504.10944

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