Problem detail · source-aware

The Lattice Triangle Problem in the Hard Obtuse Window

partialconfidence 70%

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

The lattice triangle problem asks which rational triangles unfold to Veech surfaces; in the hard obtuse window it is conjectured that none do. Via an arithmetic reformulation of the Mirzakhani-Wright rank obstruction, the paper rules out all but a density-0 subset of triangles in that window.

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

AxiomProver

"The main engine in this paper (Theorem 6.1) was autoformalized by AxiomProver in Lean (using mathlib)" - a test case for the autonomous system, with the protocol and artifacts documented in their own section.

Provider: Axiom Math · Prompt public: unknown · Independence: unknown

Verification boundary

lean checked statement unaudited

The paper's main engine is autoformalized and kernel-checked in Lean by AxiomProver; the surrounding derivations are informal, and no independent review has appeared. Tier: the main engine was autoformalized by AxiomProver itself; the informal-to-formal correspondence is author-audited only.

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

Timeline

  1. arXiv

    A density-1 obstruction, not a full resolution: the conjecture that the hard window contains no lattice triangles remains open on a density-0 set.

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.