Paper 2026/089 Original: eprint.iacr.org/2026/089 ↗

The Billion Dollar Merkle Tree

Thomas Coratger
Dmitry Khovratovich
Bart Mennink
Benedikt Wagner
Abstract

The Plonky3 Merkle tree implementation has become one of the most widely deployed Merkle tree constructions due to its high efficiency, and—through its integration into numerous succinct-argument systems—it currently helps secure an estimated \$4 billion in assets. Somewhat paradoxically, however, the underlying 2-to-1 compression function is not collision-resistant, nor even one-way, which at first glance appears to undermine the security of the entire Merkle tree. The prevailing ad-hoc countermeasure is to pre-hash data before using them as leaves in this otherwise insecure Merkle tree. In this work, we provide the first rigorous security analysis of this Merkle tree design and show that the Plonky3 approach is, in fact, sound. Concretely, we show (strong) position-binding and extractability.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2026-07-22: last updated
2026-01-20: published
Short URL
https://ia.cr/2026/089
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2026/089,
      author = {Thomas Coratger and Dmitry Khovratovich and Bart Mennink and Benedikt Wagner},
      title = {The Billion Dollar Merkle Tree},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/089},
      year = {2026},
      url = {https://eprint.iacr.org/2026/089}
}
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