{"data":{"id":"kill-dinitz-garg-goemans-2026","statement_oneline":"The Dinitz-Garg-Goemans conjecture on unsplittable flows (open roughly 30 years).","renown":{"score":3,"rationale":"A ~30-year-old conjecture central to unsplittable-flow theory.","scored_by":"founder"},"attackability":{"score":3,"rationale":"Finite flow-instance witness with LP verification; long survival under expert attention.","subscores":{"finite_witness":4,"oracle_cost":3,"freshness":2,"seedability":2},"scored_by":"founder"},"ranking_score":9,"verification_tier":"pending-peer-review","ai_systems":["GPT-5.6 Pro"],"posed_by":null,"years_open":null,"notability":null,"source_trackers":["https://aimath.robertj1.com/"],"status":"reported","added":"2026-07-22","resolution_type":"counterexample","resolver":"Dmitry Rybin","resolution_date":"2026-07-22","evidence_url":"https://chatgpt.com/share/6a60b2eb-0b64-83ee-9c76-7931ca1de063","evidence_note":"Counterexample announced 2026-07-22, found with GPT-5.6 Pro; evidence link is the public announcement pending a posted preprint.","method_note":"Part of the July 2026 wave of AI-assisted refutations.","effective_status":"reported","claims":[],"status_events":[{"id":"seed-kill-dinitz-garg-goemans-2026","conjecture_id":"kill-dinitz-garg-goemans-2026","status":"reported","date":"2026-07-22T00:00:00.000Z","actor":"human-admin","rationale":"Loaded from unified seed data.","note":"Loaded from unified seed data."}],"public_actions":[{"name":"claim","method":"POST","href":"/c/kill-dinitz-garg-goemans-2026/claim","verification":"email magic link"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}