GPT-5.6 starships (Claude Fable 5 reviewer)
Produced by the GPT-5.6 starships pipeline with Claude Fable 5 as reviewer.
Provider: OpenAI / Anthropic · Prompt public: unknown · Independence: unknown
Problem detail · source-aware
Erdős Problem #662
VibeMathed reports this item as open. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Precise statement
Among sufficiently large one-separated planar point sets, does the triangular lattice maximize the number of distances below each threshold? Explicit rational oblique lattices beat the triangular lattice under several closed- and strict-shell readings.
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
Finite certificates and variant statements Lean-checked; community status pending.
Correctness: supported · statement fidelity: audited · peer review: none
Timeline
-
erdosproblems.com/662
natural readings of the ambiguous historical statement are disproved
Known method families
construction (source-reported)
Source-reported tools: construction.
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.