Gaussian Moments Conjecture

Explicit counterexamples in dimensions 3 and 4, so GMC(n) fails for every n >= 3; GMC(1) was already known, and a separate human-authored preprint claims the remaining n = 2 case affirmatively

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: Jul 20, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: site-confirmed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Gaussian Moments Conjecture · Gaussian Moments Conj.

Confidence: Not scored

Registry verification: site confirmed · preprint · resolved

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

Christopher D. Long
human · human collaborator

GPT-5.6 Sol Pro
model · ai model contributor · OpenAI

Claude Fable 5
model · ai model contributor · Anthropic

Evidence vector

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Named evidence

VibeMathed record: Gaussian Moments Conjecture

specialist registry · passed

Re-derived by the site on 2026-08-02: both counterexamples were rebuilt from the paper's stated polynomials and evaluated in exact rational arithmetic against the standard Gaussian moment rules (E(W^a Z^b) = a! when a = b, else 0; E(T^c) the double factorial), independently of the paper's own algebra. For m = 1 through 10 both give E(P^m) = 0 and E(QP^m) = m! exactly, and the term counts and degrees match the paper (five terms of degree four in three variables, six of degree three in four). The surrounding exposition has had no independent review.

Source ↗

Gaussian Moments Conjecture

preprint · pending

Primary source named by the VibeMathed record. Presence in this import is not an independent mathematical verification.

Source ↗

Wilson, proof of the two-variable case (no AI involved)

paper · pending

paper link supplied by the VibeMathed registry.

Source ↗

Lineage and corrections

This event attributed to Christopher D. Long

This event attributed to Claude Fable 5

This event attributed to GPT-5.6 Sol Pro

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