Formally verified

Fixed rank-49 matrix circuit scheduled at peak 38

Lean certificates and an exact independent replay establish a 38-value fused schedule for the public 205-operation DAG, down from its 80-value sequential order. The result is a storage schedule for this fixed circuit, not a new rank or arithmetic record.

Exact FrontierDelta

Prior state unknownCertified fused order peaks at 38 working values

Scope and record

Occurred: Jul 18, 2026

Delta type: PEAK LIVE STORAGE

Assumptions: Scalar live-value model with overwrite on final use; fixed DAG only.

Canonical aliases: None recorded

Confidence: 99%

Open the source record ↗

Attribution

First-party finding bundle importer
system · event recorded by

Trevor Martin
human · claimant · attributed to

Trevor Martin research archive
registry · attributed to

Artifacts and verifiers

Lean 4.30.0-rc2 certificate archive

lean artifact · passed

Artifact ↗

SHA-256: 8aab50ea9b0fb787211e10d637708b9412c5676fecdde1364598d468ede76755

Verifier: Lean 4.30.0-rc2

Exact circuit replay and hash report

executable certificate · passed

Artifact ↗

SHA-256: df694ec59ffb8227021978fc6374e8a9accd6a03a9da67f9d2f74d49af6dd563

Verifier: verify_pair_circuits.py 2026-08-29

Compute record

No linked compute attempts recorded.

Lineage and corrections

This event attributed to Trevor Martin

Exact circuit replay and hash report evidence for this event

Lean 4.30.0-rc2 certificate archive evidence for this event

For the audited public rank-49 circuit, reordered left, right, and post maps have peak live-intermediate counts 7, 6, and 8, and a fused topological schedule for the complete 205-operation DAG has peak 38 instead of 80. parent of this event

Low-memory scheduling of the public rank-49 4×4 matrix multiplication circuit parent of this event

This event attributed to Trevor Martin research archive

This event derived from Lean-certified lower-memory execution schedule for a public rank-49 4×4 matrix multiplication circuit

This event evidence for For the audited public rank-49 circuit, reordered left, right, and post maps have peak live-intermediate counts 7, 6, and 8, and a fused topological schedule for the complete 205-operation DAG has peak 38 instead of 80.

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