independent reproduction · passed
Artifact ↗SHA-256: 24350f297eef5c12dcf5983a34d91fe30706f66117219c48ee5c724f7aa94940
Verifier: clang++ exact enumerator C++20
Independently reproduced
Both claw-free Schur counterexample coefficients independently reproduced
An independent exact enumerator rebuilt both line graphs from the published edge lists and obtained the stated coefficients −64 and −40. VibeMathed's external label remains unreviewed; this is a separate local verification event.
Exact FrontierDelta
Prior state unknown→Both published negative Schur coefficients independently reproduced exactly
Scope and record
Occurred: Aug 29, 2026
Delta type: Not quantified
Canonical aliases: Stanley's Claw-Free Schur-Positivity Conjecture · Claw-free Schur positivity
Confidence: 99%
Attribution
MFN independent verifier
system · event recorded by
Jacob P. Matherne
human · claimant · attributed to
MFN reproducibility audit
registry · attributed to
Alejandro H. Morales
human · attributed to
Artifacts and verifiers
witness · passed
Artifact ↗SHA-256: 997da91f69d7618507075db674ee93bd551c7b14364b1d469be50e88619f2879
Compute record
No linked compute attempts recorded.
Lineage and corrections
For the line graphs G₁ and G₂ defined by the paper's two 12-edge source graphs, the coefficient of s_(3,3,3,3) in the chromatic symmetric function is exactly −64 and −40, respectively. parent of this event
This event evidence for For the line graphs G₁ and G₂ defined by the paper's two 12-edge source graphs, the coefficient of s_(3,3,3,3) in the chromatic symmetric function is exactly −64 and −40, respectively.
Exact independent claw-free Schur coefficient enumerator evidence for this event
This event attributed to MFN reproducibility audit
This event attributed to Jacob P. Matherne
This event attributed to Alejandro H. Morales
This event derived from Chromatic symmetric functions of claw-free graphs are not Schur positive
This event reproduces Chromatic symmetric functions of claw-free graphs are not Schur positive
Stanley's Claw-Free Schur-Positivity Conjecture parent of this event
MFN claw-free Schur reproduction report evidence for this event
Act on this frontier