{"id":"W2029916622","doi":"10.1007/s002080200321","title":"Higher relative class number formulae","year":2002,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Class (philosophy); Combinatorics; Pure mathematics; Epistemology","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0002207478,0.00028557,0.0003994445,0.00008012616,0.0001484194,0.00003955153,0.0002754508,0.0001658163,0.01222342],"category_scores_gemma":[0.0002744874,0.0002351278,0.0001823202,0.0003581328,0.0000730661,0.0005425703,0.0001110348,0.0003125576,0.005841884],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003472479,"about_ca_system_score_gemma":0.000005719143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.234138e-7,"about_ca_topic_score_gemma":0.000001736016,"domain_scores_codex":[0.9983671,0.00005181022,0.0004257601,0.000328275,0.0003722268,0.0004548694],"domain_scores_gemma":[0.9985088,0.0004726475,0.0002134842,0.0005784192,0.00009224207,0.0001344463],"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":[0.000006785421,0.0002495309,0.00037522,0.0001560833,0.000123629,0.00002854463,0.001238499,0.00000107738,0.00009923895,0.8850877,0.1091522,0.003481523],"study_design_scores_gemma":[0.0004891953,0.00003647894,0.0002474582,0.0000990309,0.00005619222,0.00004570547,0.00008169671,0.0002979116,0.0007073088,0.9293938,0.0681811,0.0003641413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1788659,0.0006368734,0.02492108,0.002814752,0.0003181317,0.000622231,0.0000330429,0.0006527278,0.7911352],"genre_scores_gemma":[0.7539816,0.00006579403,0.05593112,0.0005727438,0.0003303645,0.00008690118,0.000007006029,0.0001245216,0.1889],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.6022353,"threshold_uncertainty_score":0.9949322,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08246849276029067,"score_gpt":0.323990866409528,"score_spread":0.2415223736492373,"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."}}