{"data":{"id":"kill-jacobian-2026","statement_oneline":"The Jacobian conjecture (Keller 1939): every polynomial map of C^n with nonzero constant Jacobian determinant is invertible.","renown":{"score":5,"rationale":"Legendary 1939 problem; among the most famous conjectures in algebra.","scored_by":"founder"},"attackability":{"score":2,"rationale":"The witness is a finite polynomial map, exactly checkable in seconds, but 87 years of survival and no seeding structure kept it rated unattackable; the mechanism was found anyway.","subscores":{"finite_witness":5,"oracle_cost":4,"freshness":0,"seedability":1},"scored_by":"founder"},"ranking_score":10,"verification_tier":"pending-peer-review","ai_systems":["Claude Fable 5"],"posed_by":null,"years_open":null,"notability":13,"source_trackers":["https://aimath.robertj1.com/"],"status":"reported","added":"2026-07-20","resolution_type":"counterexample","resolver":"Levent Alpöge, with Claude Fable 5 (Anthropic); question posed by Akhil Mathew","resolution_date":"2026-07-20","evidence_url":"https://www.ulam.ai/research/jacobian.pdf","evidence_note":"Explicit degree-7 Keller map on C^3 with det JF = -2 and a three-point collision; false for all n >= 3. Independently verified across the community within a day; the n=2 case remains open (see the Board). Announcement-link evidence pending a posted preprint.","method_note":"The result that ignited the July 2026 AI counterexample wave.","effective_status":"reported","claims":[],"status_events":[{"id":"seed-kill-jacobian-2026","conjecture_id":"kill-jacobian-2026","status":"reported","date":"2026-07-20T00:00:00.000Z","actor":"human-admin","rationale":"Loaded from unified seed data.","note":"Loaded from unified seed data."}],"public_actions":[{"name":"claim","method":"POST","href":"/c/kill-jacobian-2026/claim","verification":"email magic link"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}