{"id":"W2978316911","doi":"10.1007/s00222-022-01103-2","title":"Ancient asymptotically cylindrical flows and applications","year":2022,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Mean curvature flow; Uniqueness; Gravitational singularity; Regular polygon; Conjecture; Singularity; Mean curvature; Combinatorics; Mathematical analysis; Flow (mathematics); Curvature; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009151704,0.0001623637,0.0003302965,0.0002309003,0.0004858789,0.00007076526,0.0002555971,0.00005014016,0.001768117],"category_scores_gemma":[0.0002865877,0.0001452193,0.0001791123,0.0009479042,0.00005912544,0.00008325776,0.0002991012,0.0002474164,0.00009001368],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005829804,"about_ca_system_score_gemma":0.00003179063,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001466156,"about_ca_topic_score_gemma":0.000005435962,"domain_scores_codex":[0.9981754,0.00008665983,0.0005390709,0.0003292631,0.000608778,0.0002608704],"domain_scores_gemma":[0.9987772,0.000376208,0.0001776518,0.0004458037,0.00008514369,0.0001379696],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004991052,0.0007281075,0.0001733109,0.0001354225,0.00008614959,0.000003224409,0.0002894383,0.00002895534,0.0001338452,0.9931331,0.0027196,0.002563881],"study_design_scores_gemma":[0.0003649701,0.0000749805,0.0006016341,0.00001490338,0.0002085306,0.00007178533,0.0008830163,0.006829358,0.00001846406,0.9635481,0.02712454,0.0002596666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.295662,0.0007193414,0.6683058,0.001900935,0.0002335289,0.001611397,0.00004632848,0.0003901901,0.03113048],"genre_scores_gemma":[0.935013,0.00000997223,0.06120893,0.0002899207,0.0001551001,0.001165339,0.00002901881,0.00004620479,0.002082499],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.639351,"threshold_uncertainty_score":0.9991444,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03545349057346634,"score_gpt":0.2870672328163759,"score_spread":0.2516137422429095,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}