Uniform Witnesses for Uniform Set Systems: the k=3 Question
Statement
In the Frankl-Pach-Erdős circle of VC-dimension problems, the first arXiv version of the paper posed the case of a witness construction question. ChatGPT 5.4 Pro answered it; the published construction generalizes the model's response, and the conversation transcript is public.
Context
A question posed publicly in the paper's own first version, inside the well-known Frankl-Pach VC-dimension problem circle; weeks old when answered, but documented and independently checkable.
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"In an earlier arXiv version of this paper, Theorem 1.6 was stated as a question in the special case k=3. ChatGPT 5.4 Pro managed to successfully answer this question and the construction in Section 3.2 is a generalization of its response" - with the chat transcript linked in the paper.
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