{"id":"W2530270947","doi":"10.4153/cmb-2016-012-0","title":"Homology of the Fermat Tower and Universal Measures for Jacobi Sums","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Homology (biology); Fermat's Last Theorem; Profinite group; Pure mathematics; Fermat number; Power series; Discrete mathematics; Algebra over a field; Group (periodic table); Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.0007075611,0.000323707,0.0005726521,0.002618602,0.001327569,0.001821354,0.0006342267,0.0005421253,0.005770787],"category_scores_gemma":[0.001673501,0.0002266011,0.0004812167,0.0007299188,0.003756643,0.003375857,0.002353886,0.001320729,0.0003916371],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00135026,"about_ca_system_score_gemma":0.0003792251,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005875746,"about_ca_topic_score_gemma":0.000342086,"domain_scores_codex":[0.999576,0.00005475041,0.00001788286,0.00008326844,0.0001748553,0.00009328238],"domain_scores_gemma":[0.9992158,0.0002294454,0.0001260564,0.00006504203,0.0001187527,0.0002448192],"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":[0.000007098319,0.000007435619,0.0003322248,0.00001146972,0.000002643506,0.00005920342,0.0001791839,0.0004220683,0.0007488308,0.9960466,0.0001550783,0.002028035],"study_design_scores_gemma":[0.00001213874,0.00004202975,0.001726388,0.00002323216,0.000007802927,0.0003404866,0.0002155628,0.005494752,0.002020087,0.9852408,0.004855781,0.00002092938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8336716,0.001042214,0.06378163,0.001107362,0.000171118,0.00003189174,0.0001081845,0.0001308677,0.09995511],"genre_scores_gemma":[0.9909869,0.0001599363,0.002597573,0.00005850676,0.000144773,0.00001266766,0.00003818889,0.00001595301,0.005985655],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005770787,"threshold_uncertainty_score":0.01930517,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02134186919934886,"score_gpt":0.2371416118317113,"score_spread":0.2157997426323624,"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."}}