{"id":"91b500a6-3b69-46e5-b07a-57928d1efa4e","arxiv_id":"2505.14054","paper_version":2,"verdict":"ACCEPT","confidence":"MODERATE","novelty_score":7.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"Odd-dimensional Llarull rigidity holds for Lipschitz area non-increasing maps and for manifolds with cone-like singularities, proved via spherical suspension and abstract cone operators.","lead":"This paper proves a sharp rigidity theorem for scalar curvature in odd dimensions: any area non-increasing comparison map from a manifold with positive scalar curvature to a sphere must be an isometry. It also extends the result to spaces with cone-like singularities using a new tool called abstract cone operators.","discovery_kind":"extension","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-07T15:42:45.335127+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}