Type-D ASEP Tracy-Widom Marginals

Precise statement

Do the one-species current marginals of type-D ASEP have the predicted Tracy-Widom long-time asymptotics despite the model's two-species interactions?

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

Claude Opus 4.8, Claude Fable 5, Aristotle

The exact current-decoupling identity behind the proof was developed with Claude models; Aristotle checked foundational tiers in Lean.

Provider: Anthropic / Harmonic · Prompt public: unknown · Independence: unknown

Verification boundary

unreviewed

Author-reviewed arXiv preprint with foundational Lean tiers machine-checked. Not yet peer-reviewed.

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

Timeline

1. 2026-07-13

   arXiv:2607.11376 - Long-time asymptotics of type D ASEP

   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.