{"id":"W2008846370","doi":"10.1142/s0218216507005452","title":"ON THE GROUP-LIKE BEHAVIOR OF THE LE–MURAKAMI–OHTSUKI INVARIANT","year":2007,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Diagrammatic reasoning; Invariant (physics); Algebra over a field; Feynman diagram; Feynman integral; Quantum; Colored; Quantum algebra","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":[0.003995291,0.0001038169,0.0001777338,0.00009651689,0.0003444345,0.00002811158,0.0004782715,0.00006149148,0.00007656365],"category_scores_gemma":[0.001956996,0.00005240032,0.000112374,0.0002841029,0.0002078616,0.0001507158,0.00006400074,0.0004819401,0.00000555826],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003478796,"about_ca_system_score_gemma":0.00009897788,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.617181e-7,"about_ca_topic_score_gemma":0.000006769163,"domain_scores_codex":[0.9984476,0.0004048042,0.0005181652,0.00009678024,0.0003621459,0.000170531],"domain_scores_gemma":[0.9958285,0.003010313,0.0003838421,0.0003901604,0.0003073305,0.00007986248],"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":[0.00008358026,0.0002928674,0.00004511756,0.00001313262,0.0000336205,0.000003480789,0.0006235802,0.00000340681,0.04158828,0.9559069,0.0001521905,0.00125382],"study_design_scores_gemma":[0.0009587708,0.0003277254,0.01870107,0.0002110425,0.0001962635,0.0002250459,0.003471337,0.00007691808,0.04960225,0.9236085,0.002409945,0.0002111328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.983102,0.0002406587,0.01369189,0.001496111,0.000149457,0.0003833749,0.00001424147,0.000007420784,0.0009149105],"genre_scores_gemma":[0.9984093,0.00005536047,0.0005229295,0.0001557755,0.00006757077,0.000008104859,5.583811e-7,0.00001680336,0.0007636519],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03229842,"threshold_uncertainty_score":0.2649146,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04750238713581541,"score_gpt":0.3397192461185304,"score_spread":0.292216858982715,"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."}}