White's Conjecture on Matroids
White conjectured that the symmetric exchange binomials generate the toric ideal of a matroid. This is now known to be false; a rank $9$ binary matroid constitutes a counterexample.
Exact FrontierDelta
Scope and record
Occurred: Jul 2, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.
Canonical aliases: White's Conjecture on Matroids · White's conjecture
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Matt Larson
human · human collaborator
ChatGPT-5.5 Pro
model · ai model contributor · OpenAI
Claude Opus 4.8
model · ai model contributor · Anthropic
Lineage and corrections
This event attributed to Matt Larson
This event attributed to Claude Opus 4.8
This event attributed to ChatGPT-5.5 Pro