Uniform Witnesses for Uniform Set Systems: the k=3 Question
In the Frankl-Pach-Erdős circle of VC-dimension problems, the first arXiv version of the paper posed the $k=3$ 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.
Exact FrontierDelta
Scope and record
Occurred: Mar 1, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Uniform Witnesses for Uniform Set Systems: the k=3 Question · Uniform witnesses, k=3
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Ting-Wei Chao
human · human collaborator
Zixuan Xu
human · human collaborator
Dmitrii Zakharov
human · human collaborator
ChatGPT 5.4 Pro
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to Dmitrii Zakharov
This event attributed to Zixuan Xu
This event attributed to Ting-Wei Chao
This event attributed to ChatGPT 5.4 Pro