{"id":"W1671362148","doi":"10.4171/jems/536","title":"On the motion of a curve by its binormal curvature","year":2015,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"University of Toronto; Agence Nationale de la Recherche","keywords":"Uniqueness; Curvature; Motion (physics); Mathematics; Property (philosophy); Mathematical analysis; Flow (mathematics); Geometry; Physics; Classical mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":["research_integrity"],"consensus_categories":[],"category_scores_codex":[0.009280342,0.0004126149,0.0009781708,0.00006209656,0.0001398372,0.0001258814,0.001850043,0.0002879133,0.0002169261],"category_scores_gemma":[0.005372789,0.0001825461,0.002233313,0.0005489081,0.0001610717,0.00008745639,0.0009407967,0.002737264,0.00004549253],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001338139,"about_ca_system_score_gemma":0.0001072269,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.204606e-7,"about_ca_topic_score_gemma":1.885929e-7,"domain_scores_codex":[0.9949666,0.001343589,0.001469731,0.000233785,0.001690445,0.0002958388],"domain_scores_gemma":[0.993783,0.001234402,0.002974056,0.000951223,0.0008980932,0.0001592116],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002995566,0.001062251,0.00003529452,0.000901271,0.001585413,0.000006494394,0.003169474,0.0003772957,0.0002662722,0.03525513,0.9568066,0.0005045571],"study_design_scores_gemma":[0.00123421,0.0002826961,0.0003859698,0.002911994,0.002858605,0.000109473,0.001488918,0.005958651,0.0008539753,0.9766825,0.006506137,0.0007268522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8123993,0.005022427,0.07680956,0.01860842,0.002913332,0.002306969,0.0003454457,0.0001160674,0.08147853],"genre_scores_gemma":[0.9900433,0.0001436104,0.005151758,0.0005285547,0.0009108836,0.000004140037,0.000006317704,0.0001200725,0.003091364],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9503005,"threshold_uncertainty_score":0.9995635,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05388566375629758,"score_gpt":0.283860058818657,"score_spread":0.2299743950623594,"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."}}