{"data":{"id":"kill-erdos-659-2026","statement_oneline":"Erdős Problem #659 (Geometry, Distances); statement at erdosproblems.com/659.","renown":{"score":1,"rationale":"Erdős problem; renown scored at catalog level","scored_by":"founder"},"attackability":{"score":null,"subscores":null,"rationale":"not scored at import","scored_by":null},"verification_tier":"lean-verified","ai_systems":["Gemini 3","Aletheia"],"posed_by":"Paul Erdős","years_open":29,"notability":0,"source_trackers":["https://vibemathed.com/","https://github.com/teorth/erdosproblems/wiki/AI-contributions-to-Erd%C5%91s-problems"],"status":"reported","ranking_score":null,"added":"2026-01-13","resolution_type":"proof","resolver":"Gemini 3, Aletheia","resolution_date":"2026-01-13","evidence_url":"https://arxiv.org/abs/2601.09102","evidence_note":"Imported from Terence Tao's AI-contributions wiki via VibeMathed; full solutions only per that wiki's inclusion rule; verified against the erdosproblems.com page by the source tracker.","method_note":null,"effective_status":"reported","claims":[],"status_events":[{"id":"seed-kill-erdos-659-2026","conjecture_id":"kill-erdos-659-2026","status":"reported","date":"2026-01-13T00:00:00.000Z","actor":"human-admin","rationale":"Loaded from unified seed data.","note":"Loaded from unified seed data."}],"public_actions":[{"name":"claim","method":"POST","href":"/c/kill-erdos-659-2026/claim","verification":"email magic link"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}