{"id":"W4385202889","doi":"10.1112/jlms.12789","title":"Categorification of integral group rings extended by one dimension","year":2023,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Categorification; Group (periodic table); Abelian group; Dimension (graph theory); Pure mathematics; Ring (chemistry); Basis (linear algebra); Fusion; Local ring; Set (abstract data type); Representation (politics); Algebra over a field; Computer science; Geometry; Physics","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":[0.001017777,0.0001537299,0.0004660265,0.00002876289,0.0001057499,0.00002308236,0.0004728971,0.0001478379,0.0000636812],"category_scores_gemma":[0.0005078499,0.00009035601,0.0006021953,0.0003557154,0.0001219387,0.0001084188,0.0001402019,0.0003944527,0.00000790069],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000083474,"about_ca_system_score_gemma":0.00003265354,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003766532,"about_ca_topic_score_gemma":2.089553e-7,"domain_scores_codex":[0.9980425,0.0000880509,0.0007923537,0.0001190486,0.0007405129,0.000217556],"domain_scores_gemma":[0.9980894,0.0005022888,0.0007970796,0.0003387148,0.0001895426,0.00008291817],"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":[0.00005308678,0.0004006771,0.00006892675,0.00036511,0.000241272,9.871663e-7,0.002327211,0.000007722948,0.03680974,0.9337288,0.02529076,0.0007057436],"study_design_scores_gemma":[0.0005812941,0.00009417001,0.000329986,0.0001661757,0.0001246974,0.00001690857,0.0004343535,0.0008052982,0.01137263,0.9858491,0.0001285479,0.00009678639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9893458,0.00009794335,0.008407979,0.001277045,0.0004633947,0.0002171257,0.000003238837,0.00003750194,0.0001499113],"genre_scores_gemma":[0.9934533,0.00005814645,0.005902676,0.00006278262,0.0001303368,0.00000411898,0.000001143816,0.00002740339,0.0003601003],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05212039,"threshold_uncertainty_score":0.3684611,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02878331501023275,"score_gpt":0.2822042793355246,"score_spread":0.2534209643252919,"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."}}