{"id":"W2964148724","doi":"10.1007/s10711-018-0353-2","title":"Index of the critical catenoid","year":2018,"lang":"la","type":"article","venue":"Geometriae Dedicata","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Minimal surface; Mathematics; Unit sphere; Differential geometry; Helicoid; Hyperbolic geometry; Ball (mathematics); Projective geometry; Combinatorics; Geometry; Algebraic geometry; Surface (topology); Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008652997,0.001157044,0.001327183,0.0071891,0.003242263,0.004928772,0.001313667,0.001464959,0.01044584],"category_scores_gemma":[0.003195624,0.0004770585,0.0005549957,0.001783025,0.003883502,0.003998867,0.002843202,0.001902589,0.001009976],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00381037,"about_ca_system_score_gemma":0.0009740378,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002177656,"about_ca_topic_score_gemma":0.001543343,"domain_scores_codex":[0.9994854,0.00008800965,0.00002499521,0.0001280206,0.0001486555,0.0001248144],"domain_scores_gemma":[0.9986339,0.0003672773,0.0002233914,0.00007366708,0.0002355176,0.0004662203],"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":[0.00004872533,0.00001163872,0.000445012,0.00003185068,0.000008090139,0.00008315472,0.000196329,0.000492431,0.000592676,0.9946399,0.0009604526,0.002489793],"study_design_scores_gemma":[0.0000329924,0.00003853063,0.001099251,0.00003456793,0.00001951061,0.0002467399,0.0001567978,0.005522125,0.0007280028,0.9854676,0.006627303,0.00002663673],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.733363,0.003101205,0.04225337,0.004036001,0.0008008769,0.00009383656,0.0005317364,0.0002943954,0.2155256],"genre_scores_gemma":[0.9595985,0.0009073272,0.003611808,0.0003145982,0.0005898651,0.00006883902,0.0002700026,0.00008512603,0.03455396],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01044584,"threshold_uncertainty_score":0.03494477,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03254017772206173,"score_gpt":0.317290394014254,"score_spread":0.2847502162921922,"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."}}