The Schwartz Quadratic Meander Number Conjecture

Precise statement

A cyclic meander induces a cyclic permutation on its $2n$ marked intersection points. Schwartz's conjecture on the quadratic growth of the associated meander number is resolved.

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

ChatGPT 5.5, Claude Opus 4.7, Gemini 3.1

The authors say the models were used as research assistants, mainly to explore potentially relevant directions, alongside their own computational experiments. No specific step is attributed, so the lowest tier applies.

Provider: OpenAI / Anthropic / Google · Prompt public: unknown · Independence: unknown

Verification boundary

unreviewed

arXiv preprint; not yet peer-reviewed.

Correctness: unknown · statement fidelity: unaudited · peer review: none

Timeline

1. 2026-06-10

   arXiv:2606.12331 - Resolving the Schwartz Quadratic Meander Number Conjecture

   VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.

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.