Replayed

Five-variable Hessian counterexample artifact replay passed

The pinned no-CAS checker reproduced the degree, monomial count, exact rational gradient collision, and deterministic exact Hessian evaluations. VibeMathed's external label remains unreviewed; this is a separate local replay record.

Exact FrontierDelta

Prior state unknown→Explicit construction artifact replay passed; symbolic determinant proof remains source-level

Scope and record

Occurred: Aug 29, 2026

Delta type: Not quantified

Canonical aliases: A Five-Variable Counterexample to the Hessian Conjecture · Hessian conjecture, $n=5$

Confidence: 98%

Open the source record ↗

Attribution

MFN independent verifier
system · event recorded by

Guowu Meng
human · claimant · attributed to

MFN reproducibility audit
registry · attributed to

Liang Yang
human · attributed to

Artifacts and verifiers

Pinned no-CAS exact checker

code · passed

Artifact ↗

SHA-256: 38d6a3a670f87828c26929d09dce6e8a3f566a4e067b51a74a89ea9d3508fcfe

Verifier: CPython 3.10.15

MFN Hessian artifact replay report

witness · passed

Artifact ↗

SHA-256: 5d6fe8113724220fe69a81dc860fc80fdf5371759cebbf4d28c17d195dde1c4e

Compute record

No linked compute attempts recorded.

Lineage and corrections

Pinned no-CAS exact checker evidence for this event

The published polynomial Ψ=A²+13A+2B expands to 42 monomials of degree 14, has the reported rational gradient collision, and returned Hessian determinant 128 at all 40 deterministic exact test points in the no-CAS checker. parent of this event

This event evidence for The published polynomial Ψ=A²+13A+2B expands to 42 monomials of degree 14, has the reported rational gradient collision, and returned Hessian determinant 128 at all 40 deterministic exact test points in the no-CAS checker.

This event attributed to MFN reproducibility audit

This event attributed to Guowu Meng

MFN Hessian artifact replay report evidence for this event

This event attributed to Liang Yang

A Five-Variable Counterexample to the Hessian Conjecture parent of this event

This event derived from A five-variable counterexample to the Hessian conjecture, and the low-dimensional status of the Jacobian and Hessian conjectures

This event reproduces A five-variable counterexample to the Hessian conjecture, and the low-dimensional status of the Jacobian and Hessian conjectures

Act on this frontier

Verify, challenge, or extend the result.