HUMAN-REVIEWED RESEARCH

Trust the math.
Question the assumptions.

A curated view of the cryptography securing Ethereum today and the research that may reshape tomorrow.

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03 / CRYPTOGRAPHIC ASSUMPTIONS

Monitor the assumptions, not the panic.

MANUAL RESEARCH CATALOG

Review date 2026-10-09. This is a curated, versioned catalog, not a real-time cryptanalysis feed. AI breakthrough timelines remain unverified. No entry proves that an algorithm has been broken.

ECDSA / secp256k1

PLAN TRANSITION

Ethereum EOA transaction signatures and some smart-account owners

ESTABLISHED FACTS

• Shor’s algorithm threatens ECDLP on sufficiently powerful fault-tolerant quantum computers.

• Published ECDSA signatures can expose corresponding EOA public keys.

HYPOTHESES / UNCERTAINTY

• AI-assisted classical cryptanalysis might improve attacks on ECDLP; no practical general-purpose classical break is established.

Safe EOA-owner signing

REVIEW COMPOSITION

Threshold authorization backed by owner wallets or other contract owners

ESTABLISHED FACTS

• Safe owners and signature thresholds are configured in contract storage.

• Module execution, guards and account ownership must be analyzed separately from threshold EOA signatures.

HYPOTHESES / UNCERTAINTY

• A cryptographic break impacting EOA owners could change effective signing assumptions. Exposure depends on each signer and signature publication.

BLS & pairing-based constructions

PLAN TRANSITION

Consensus signatures, some polynomial commitments and zero-knowledge systems

ESTABLISHED FACTS

• Discrete-logarithm based constructions face known quantum algorithmic threats.

• Security depends on curve choice and the exact protocol composition.

HYPOTHESES / UNCERTAINTY

• Unknown classical mathematics may change concrete attack costs.

ML-DSA (FIPS 204)

REVIEW PARAMETERS

NIST-standardized lattice-based post-quantum signature scheme

ESTABLISHED FACTS

• ML-DSA is standardized in NIST FIPS 204.

• No generally accepted practical break of the standardized scheme is established by the cited standards.

HYPOTHESES / UNCERTAINTY

• AI-assisted mathematical research could alter concrete lattice security margins. No timeline for such a break is verified.

SLH-DSA (FIPS 205)

MONITOR RESEARCH

NIST-standardized stateless hash-based signature scheme

ESTABLISHED FACTS

• SLH-DSA is standardized in NIST FIPS 205.

• Hash-based signature security assumptions differ from those of elliptic curves and lattices.

HYPOTHESES / UNCERTAINTY

• Future breakthroughs, implementation flaws, or poor parameters could still change practical security.

Groth16 / BN254

REVIEW COMPOSITION

Some ZK applications, including the current zkAPI architecture

ESTABLISHED FACTS

• This proof-system family relies on pairing-friendly elliptic-curve assumptions.

• Using a ZK proof does not by itself provide post-quantum security.

HYPOTHESES / UNCERTAINTY

• Cryptanalytic advances could affect security margins; a practical break is not established.

CATALOG INTEGRITY

sha256:493248cfddb8f6c7da075df9532dac647cf6bf2f2b26da9c92b9527c9a3d6e58

Mode: MANUAL_REVIEW_ONLY. Sources are reviewed manually; a new publication cannot trigger an alert until the catalog is updated and released. Hash-only cryptography is not universally suitable for encryption.