Kusner's Conjecture on Equilateral Sets in $\ell_p^n$

Registry resolution: resolved. Reported result type: disproved. The registry record and named primary source provide the statement and scope.

Exact FrontierDelta

disproved→disproved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. 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: Kusner's Conjecture on Equilateral Sets in $\ell_p^n$ · Kusner equilateral sets

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

GPT-5.6 Sol
model · ai model contributor · OpenAI

Claude Fable 5
model · ai model contributor · Anthropic

Logan R. Chalmers
human · human collaborator

Evidence vector

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Named evidence

VibeMathed record: Kusner's Conjecture on Equilateral Sets in $\ell_p^n$

specialist registry · passed

Checked by this site on 17 August 2026 against the paper's LaTeX (arXiv:2608.14013): the disclosure is verbatim as quoted, Kusner's 1983 attribution is in the introduction, and the data is deposited on Zenodo (10.5281/zenodo.21911503). The exact-arithmetic certificate was not re-run here. Days-old preprint, no independent review.

Source ↗

Kusner's Conjecture on Equilateral Sets in $\ell_p^n$

preprint · pending

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

Source ↗

Zenodo data and verification package

code · pending

code link supplied by the VibeMathed registry.

Source ↗

Artifacts and verifiers

Zenodo data and verification package

code · pending

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

Corrects Kusner's Conjecture on Equilateral Sets in $\ell_p^n$ →

Supersedes Kusner's Conjecture on Equilateral Sets in $\ell_p^n$ →

Zenodo data and verification package evidence for this event

Kusner's Conjecture on Equilateral Sets in $\ell_p^n$ parent of this event

VibeMathed record: Kusner's Conjecture on Equilateral Sets in $\ell_p^n$ evidence for this event

Registry resolution: resolved. Reported result type: disproved. The registry record and named primary source provide the statement and scope. parent of this event

This event attributed to GPT-5.6 Sol

Kusner's Conjecture on Equilateral Sets in $\ell_p^n$ evidence for this event

This event attributed to Claude Fable 5

This event attributed to Logan R. Chalmers

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