{"id":"W2792092356","doi":"10.1090/conm/701/14149","title":"Arithmetic twists and Abelian extensions","year":2018,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Abelian group; Arithmetic; Algebra over a field; Pure mathematics","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001040829,0.00105619,0.002036519,0.0002115151,0.0001605525,0.0004321898,0.002022721,0.0004401894,0.0006310521],"category_scores_gemma":[0.0004425382,0.000888955,0.0006271923,0.0009843212,0.002521885,0.0002096445,0.001846513,0.0005751406,0.001083162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001222743,"about_ca_system_score_gemma":0.0003085867,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006426907,"about_ca_topic_score_gemma":0.000005183625,"domain_scores_codex":[0.9951832,0.0001998896,0.001172488,0.001556269,0.001033905,0.0008542367],"domain_scores_gemma":[0.9942368,0.001073576,0.001107347,0.002737891,0.0001906452,0.0006537478],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000002965813,0.001470686,0.00004788486,0.002491395,0.0006248977,0.00006885277,0.006152947,5.132698e-7,0.00003890653,0.09058146,0.8897465,0.008773027],"study_design_scores_gemma":[0.001227844,0.0008174822,0.00008954104,0.002266917,0.000244108,0.000349596,0.001383636,0.1892036,0.00003709336,0.410164,0.3908321,0.003384039],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0001237672,0.0009445662,0.727437,0.001093961,0.000332265,0.001357786,0.00004336453,0.001748575,0.2669187],"genre_scores_gemma":[0.002044937,0.0001537827,0.8903,0.0007919881,0.0004261345,0.0001299998,0.00001747059,0.0005928571,0.1055428],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4989143,"threshold_uncertainty_score":0.9996946,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02809434570266137,"score_gpt":0.2725073181917011,"score_spread":0.2444129724890397,"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."}}