{"data":{"id":"kill-inertia-quadratic-2026","statement_oneline":"Every graph satisfies 2n+(G) ≤ n−(G)(n−(G)+1) (Akbari, Elphick, Kumar, Pragada, Tang, quadratic inertia conjecture).","renown":{"score":2,"rationale":"Companion conjecture from the same 2026 inertia paper.","scored_by":"founder"},"attackability":{"score":4,"rationale":"Finite graph witness, cheap exact oracle, fresh target.","subscores":{"finite_witness":5,"oracle_cost":4,"freshness":4,"seedability":3},"scored_by":"founder"},"ranking_score":8,"verification_tier":null,"ai_systems":[],"posed_by":null,"years_open":null,"notability":null,"source_trackers":[],"status":"confirmed","added":"2026-05-15","resolution_type":"counterexample","resolver":"H. Chen and J. Li","resolution_date":"2026-05-15","evidence_url":"https://arxiv.org/abs/2605.07196","evidence_note":"Counterexamples to a conjecture on graph inertia; a dense family also refuting a related order inequality from the same paper.","method_note":null,"effective_status":"confirmed","claims":[],"status_events":[{"id":"seed-kill-inertia-quadratic-2026","conjecture_id":"kill-inertia-quadratic-2026","status":"confirmed","date":"2026-05-15T00:00:00.000Z","actor":"human-admin","rationale":"Loaded from unified seed data.","note":"Loaded from unified seed data."}],"public_actions":[],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}