GPT-5.5 Pro
The acknowledgement says the authors used GPT-5.5 Pro during the research, and points at the connection to cut-tree sparsification as where it mattered.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
Problem detail · source-aware
The Thin Matching Problem
VibeMathed reports this item as partial. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Precise statement
Anari, Charikar and Ramakrishnan asked whether every fractional perfect matching admits a perfect matching that is $\alpha$-thin with respect to it, meaning it crosses every cut at most $\alpha$ times the fractional amount. Resolved up to polylogarithmic factors.
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.
What AI did
Verification boundary
arXiv preprint; not yet peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
Timeline
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arXiv:2606.01330 - On Thin Perfect Matchings up to Polylogarithmic Factors
up to polylogarithmic factors
Known method families
argument (source-reported)
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
What remains uncertain
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.
- VibeMath has not independently verified the mathematical claim.
- AI-attempt independence and training-data exposure are unknown unless explicitly documented.
- VibeMath has not independently audited the mathematical statement, proof, or novelty claim.