Problem detail · source-aware
VibeMathed reports this item as candidate. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Question 8 of the First Proof experiment (Abouzaid et al.) asks whether a polyhedral Lagrangian surface with exactly four faces meeting at every vertex necessarily admits a Lagrangian smoothing. The research report assembles ChatGPT-suggested constructions into an affirmative argument for orientable surfaces in $(\mathbb{R}^4, \omega)$: smooth the edges, verify the vertex links are unknots with rot 0 and tb -1, and cap off with Lagrangian disks via Chartraine's results.
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.
A deliberate two-team methodology: Team A explored solutions with ChatGPT 5.2 and had to defend the generated material; Team B checked correctness with human reasoning plus Gemini Pro. The report even documents ChatGPT's initial wrong idea (a spurious obstruction), and a key citation the model gestured at was pinned down by the humans in review meetings.
Provider: OpenAI, Google DeepMind · Prompt public: unknown · Independence: unknown
A self-described research report with an unusual format; the argument is assembled but no independent review has appeared, so it enters as a candidate.
Correctness: unknown · statement fidelity: unaudited · peer review: none
VibeMathed reports this item as candidate. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Source-reported tools: construction.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.