Problem detail · source-aware
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How large can a measurable $A \subseteq [0,R]^2$ be while avoiding the vertices of upward-oriented axis-aligned right triangles of area $1/2$? At most $O_c(R^2/(\log R)^c)$, with a matching-shaped lower bound construction.
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 AI usage declaration names two distinct contributions: ChatGPT 5.4 Pro constructed the example giving the lower bound, and was also used to clarify a cryptic remark of Graham and reconstruct its intended proof. Gemini drew a figure. The authors state the ideas, proofs and writing are theirs.
Provider: OpenAI / Google · Prompt public: unknown · Independence: unknown
arXiv preprint; not yet peer-reviewed.
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.