{"id":"W3213702591","doi":"10.4310/cag.241212011633","title":"Concordance invariants of null-homologous knots in thickened surfaces","year":2024,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Cobordism; Mathematics; Null (SQL); Combinatorics; Concordance; Invariant (physics); Knot (papermaking); Seifert surface; Signature (topology); Pure mathematics; Geometry; Knot invariant; Knot theory; Mathematical physics; Computer science; Bioinformatics","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":[],"consensus_categories":[],"category_scores_codex":[0.001055082,0.000106332,0.0004735925,0.002148739,0.00004869336,0.00002627524,0.0005322219,0.0001139163,0.0001378626],"category_scores_gemma":[0.0007797775,0.00009650554,0.00009198728,0.007444892,0.000284782,0.00007792306,0.0003180064,0.0002903247,0.000006877232],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003202876,"about_ca_system_score_gemma":0.00004658739,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000555325,"about_ca_topic_score_gemma":0.002774555,"domain_scores_codex":[0.998753,0.0002252433,0.0005332745,0.0002147105,0.0001108726,0.0001628827],"domain_scores_gemma":[0.9966952,0.002122072,0.000106157,0.0009935366,0.00004998812,0.00003310799],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.00001411204,0.0005914639,0.6457896,0.0002664324,0.0009673454,0.00002207422,0.002218433,0.0001754039,0.0003057016,0.3284169,0.0003125131,0.02092008],"study_design_scores_gemma":[0.0007706088,0.00009062033,0.6774195,0.0002660231,0.0007673139,0.00001677581,0.00277745,0.0302794,0.0003754021,0.2855294,0.001261075,0.0004465039],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9809126,0.01379719,0.001991735,0.0009682343,0.00004159455,0.00009708647,0.00001565989,0.00002679962,0.002149139],"genre_scores_gemma":[0.989782,0.002748813,0.007075157,0.0000336359,0.000004961863,0.0000133358,0.00001517165,0.000007723749,0.0003192499],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04288749,"threshold_uncertainty_score":0.3935382,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05480843114670411,"score_gpt":0.3653460556389657,"score_spread":0.3105376244922616,"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."}}