{"id":"W3202352392","doi":"10.4171/dm/867","title":"Arithmetic statistics and noncommutative Iwasawa theory","year":2022,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval; University of British Columbia","funders":"","keywords":"Noncommutative geometry; Mathematics; Prime (order theory); Elliptic curve; Iwasawa theory; Algebraic number; Extension (predicate logic); Prime number; Pure mathematics; Algebraic number theory; Arithmetic; Algebra over a field; Discrete mathematics; Combinatorics; Mathematical analysis; Conjecture","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":[],"category_scores_codex":[0.001874779,0.0002511791,0.0003981242,0.0001412847,0.0005654331,0.00007529934,0.0003493059,0.00003807045,0.00817872],"category_scores_gemma":[0.0004781532,0.0002347434,0.00006512614,0.0002641207,0.0002099885,0.0001526554,0.0006000443,0.000360603,0.0000953549],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009872943,"about_ca_system_score_gemma":0.00003530411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003806183,"about_ca_topic_score_gemma":7.591695e-7,"domain_scores_codex":[0.9978331,0.0005479064,0.0004575784,0.0003124501,0.0004952357,0.0003536691],"domain_scores_gemma":[0.9961594,0.002959467,0.0002229564,0.0004953025,0.00003572308,0.0001271795],"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":[0.00004722328,0.0002902781,0.00003928065,0.0001823761,0.00012844,0.00003382992,0.005517176,0.000001020329,0.00005706101,0.9867364,0.0049351,0.00203178],"study_design_scores_gemma":[0.0005911189,0.0001672744,0.00002812189,0.00002189353,0.0001284356,0.0001960064,0.008791568,0.0001602966,0.0003502331,0.986971,0.002318755,0.0002753244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5981005,0.0009936324,0.2687941,0.001632982,0.0008126278,0.002758812,0.0009177508,0.0007536979,0.1252359],"genre_scores_gemma":[0.8902582,0.00001980593,0.09910299,0.000556135,0.00005160078,0.0003260043,0.00004043791,0.00009008899,0.009554729],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2921577,"threshold_uncertainty_score":0.9927279,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02137504222930019,"score_gpt":0.3068831233939658,"score_spread":0.2855080811646656,"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."}}