Problem detail · source-aware
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The paper nearly settles the tradeoff between the size of a set system over $[n]$ and its number of full chains, an extremal question raised by Johnson, Leader and Russell as a counterpart to Sperner-type results, and linked by recent work to the space and time complexity of Bellman–Held–Karp dynamic programming for permutation problems.
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.
The disclosure is one sentence: the results of the paper were obtained with the help of ChatGPT 5. It says the results rather than the exposition, but does not say how much, so the lowest tier applies.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
No independent review, and the single-sentence disclosure does not separate the model's contribution from the authors'. Preprint, not refereed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
The authors describe the tradeoff as nearly settled rather than settled.
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.