Problem detail · source-aware
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A collection of open problems from the algebraic and enumerative combinatorics literature, resolved in one paper: a conjecture of Defant, Jiang, Marczinzik, Segovia, Speyer, Thomas and Williams on the echelonmotion operator on modular lattices, which also yields a new algebraic bijective proof of Dilworth's theorem; conjectures of Hopkins on parking function statistics studied by Stanley and Yin; and two conjectures of Sagan and Wilson on centralizers in the plactic monoid.
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The claim is unusually flat: all of these proofs were obtained autonomously by ChatGPT 5.4 Pro. The author's role was selecting the problems and writing them up. Worth noting that the first conjecture settled is one the author himself co-posed, so this is a mathematician using a model to close his own open problem.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
arXiv preprint, not peer-reviewed. The proofs are described as short, which makes them checkable by a reader who knows the areas, but no independent verification is recorded and the autonomy claim covers every proof in the paper.
Correctness: unknown · statement fidelity: unaudited · peer review: none
VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.