{"id":"W2333448990","doi":"10.1016/j.jnt.2017.10.018","title":"Fine Selmer groups of congruent Galois representations","year":2017,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"University of Toronto; Academia Sinica; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Center for Theoretical Sciences","keywords":"Mathematics; Galois module; Congruence (geometry); Galois group; Abelian extension; Pure mathematics; Extension (predicate logic); Abelian group; Dual (grammatical number); Galois cohomology; Group (periodic table); Computer science; Physics; Linguistics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002119468,0.0001513385,0.0004553763,0.00009328057,0.0002253619,0.000047687,0.0006324403,0.00009313422,0.007732891],"category_scores_gemma":[0.003388954,0.0001204735,0.000305828,0.00007620255,0.0002907476,0.0003936717,0.0001229071,0.0003120818,0.00007569635],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003293857,"about_ca_system_score_gemma":0.00006830328,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008921515,"about_ca_topic_score_gemma":0.000007141365,"domain_scores_codex":[0.998266,0.0002548976,0.0007613418,0.0001233779,0.0003978115,0.0001965642],"domain_scores_gemma":[0.9955247,0.001540564,0.001696893,0.0007371253,0.0003758279,0.0001248808],"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":[0.0006230229,0.0007070253,0.02184291,0.0001712978,0.0008150208,0.0001452975,0.002435941,0.000005676981,0.001680817,0.9235957,0.04422276,0.003754556],"study_design_scores_gemma":[0.001008457,0.00007198377,0.01226237,0.0001736433,0.0001882774,0.0004244006,0.0008185889,0.000003107677,0.006154104,0.9765877,0.002162289,0.0001450968],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9371455,0.00007688499,0.002855035,0.0003916542,0.000674838,0.0001105012,0.00004337832,0.00001436214,0.05868787],"genre_scores_gemma":[0.991963,0.00001657169,0.002961983,0.00004976119,0.0003395078,0.000002764313,0.000002150976,0.00002589519,0.004638343],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05481755,"threshold_uncertainty_score":0.9931742,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04095669933112572,"score_gpt":0.3488461983799749,"score_spread":0.3078894990488492,"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."}}