{"id":"W4407294210","doi":"10.5802/aif.3671","title":"An upper bound on the denominator of Eisenstein classes in Bianchi manifolds","year":2025,"lang":"lv","type":"article","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Pure mathematics; Upper and lower bounds; Combinatorics; Mathematical analysis","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"],"consensus_categories":[],"category_scores_codex":[0.0009216182,0.0004039195,0.000668416,0.0007787715,0.0002490624,0.00009868819,0.0007306474,0.0004321914,0.0006169966],"category_scores_gemma":[0.001187189,0.0003165383,0.0002394802,0.001181074,0.0007211822,0.0001613961,0.000148114,0.0005686372,0.0001585031],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001511281,"about_ca_system_score_gemma":0.0006625041,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000196221,"about_ca_topic_score_gemma":0.0006378642,"domain_scores_codex":[0.997332,0.0003399678,0.0007885377,0.0004933732,0.000327463,0.0007186678],"domain_scores_gemma":[0.9972164,0.001171976,0.0002809374,0.001061658,0.0001341944,0.0001348139],"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":[0.0001464204,0.001105438,0.02351388,0.000432741,0.000293607,0.0001816263,0.001661122,0.00007306731,0.000237699,0.9512052,0.01335576,0.007793427],"study_design_scores_gemma":[0.005256324,0.001856284,0.116683,0.003370778,0.001146573,0.000155489,0.01488471,0.004719091,0.01570235,0.4379157,0.3963141,0.001995663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9592481,0.002181063,0.000425141,0.005484249,0.0006830496,0.0005327447,0.00004766784,0.00003416569,0.03136382],"genre_scores_gemma":[0.9902043,0.0003463705,0.001050554,0.00175656,0.0001742935,0.00003338574,0.000007686157,0.00003359916,0.006393284],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5132896,"threshold_uncertainty_score":0.9999287,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02746200628711562,"score_gpt":0.3019758029469113,"score_spread":0.2745137966597957,"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."}}