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

disproved→disproved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: site-confirmed. Publication: preprint. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

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

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

Claude Fable 5
model · ai model contributor · Anthropic

Christopher D. Long
human · human collaborator

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

Corrects Gaussian Moments Conjecture →

Supersedes Gaussian Moments Conjecture →

Gaussian Moments Conjecture evidence for this event

VibeMathed record: Gaussian Moments Conjecture evidence for this event

This event attributed to Christopher D. Long

Wilson, proof of the two-variable case (no AI involved) evidence for this event

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 parent of this event

This event attributed to GPT-5.6 Sol Pro

This event attributed to Claude Fable 5

Gaussian Moments Conjecture parent of this event

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