Source authenticated

The Planar Berenstein Conjecture

The domain has dihedral symmetry of order 26 and is neither a disc nor centrally symmetric, and its eigenfunction changes sign - which is why an additional sign assumption rescues the statement.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Aug 9, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: The Planar Berenstein Conjecture · Planar Berenstein conjecture

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Matthew J. Colbrook
human · human collaborator

Siavash Sadeghi
human · human collaborator

George Stepaniants
human · human collaborator

ChatGPT 5.6
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to George Stepaniants

This event attributed to Siavash Sadeghi

This event attributed to Matthew J. Colbrook

This event attributed to ChatGPT 5.6

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The Planar Berenstein Conjecture — Mathematical Frontier Network