{"data":{"id":"kill-gaussian-moments-2026","statement_oneline":"The Gaussian Moments Conjecture (Derksen-van den Essen-Zhao) in dimensions n >= 3.","renown":{"score":2,"rationale":"Specialist analytic conjecture known via its equivalence to the Jacobian problem.","scored_by":"founder"},"attackability":{"score":4,"rationale":"Once the equivalence partner fell, the reduction itself became the seed; small explicit witnesses followed in days.","subscores":{"finite_witness":5,"oracle_cost":4,"freshness":3,"seedability":5},"scored_by":"founder"},"ranking_score":8,"verification_tier":null,"ai_systems":["ChatGPT 5.6 Sol Pro"],"posed_by":null,"years_open":null,"notability":null,"source_trackers":["https://aimath.robertj1.com/"],"status":"confirmed","added":"2026-07-23","resolution_type":"counterexample","resolver":"See arXiv:2607.18186","resolution_date":"2026-07-23","evidence_url":"https://arxiv.org/abs/2607.18186","evidence_note":"Small explicit counterexamples for every n >= 3, prompted by the Jacobian refutation; a four-variable six-term cubic example was found by ChatGPT 5.6 Sol Pro.","method_note":"First downstream casualty of the Jacobian collapse: conjectures proven equivalent to a false statement fall with it.","effective_status":"confirmed","claims":[],"status_events":[{"id":"seed-kill-gaussian-moments-2026","conjecture_id":"kill-gaussian-moments-2026","status":"confirmed","date":"2026-07-23T00:00:00.000Z","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."}