{"data":{"id":"inscribed-square-1911","statement_oneline":"Every Jordan curve in the plane contains four points forming a square.","statement_full_latex":"Every simple closed curve in $\\mathbb{R}^2$ inscribes a square (Toeplitz 1911). Known for smooth curves (and rectangles of all aspect ratios for smooth Jordan curves, Greene-Lobb 2020).","source":{"title":"Inscribed square problem (Toeplitz)","arxiv":null,"url":"https://en.wikipedia.org/wiki/Inscribed_square_problem","year":1911,"area":"math.GT"},"renown":{"score":4,"rationale":"A century-old classic revitalized by Greene-Lobb's 2020 symplectic breakthrough.","scored_by":"founder"},"attackability":{"score":1,"rationale":"A counterexample is a pathological continuous curve, not a finite object; the smooth case is proved, so any counterexample lives in fractal territory beyond finite certificates.","subscores":{"finite_witness":1,"oracle_cost":1,"freshness":1,"seedability":1},"scored_by":"founder"},"status":"open","last_verified_open":"2026-01-15","added":"2026-07-25","ranking_score":4,"verification_tier":null,"ai_systems":[],"posed_by":null,"years_open":null,"notability":null,"source_trackers":[],"resolution_type":null,"resolver":null,"resolution_date":null,"evidence_url":null,"evidence_note":null,"method_note":null,"effective_status":"open","claims":[],"status_events":[{"id":"seed-inscribed-square-1911","conjecture_id":"inscribed-square-1911","status":"open","date":"2026-07-25T00:00:00.000Z","actor":"human-admin","rationale":"Loaded from unified seed data.","note":"Loaded from unified seed data."}],"public_actions":[{"name":"claim","method":"POST","href":"/c/inscribed-square-1911/claim","verification":"email magic link"},{"name":"report_resolution","method":"POST","href":"/c/inscribed-square-1911/resolve","verification":"admin review"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}