{"id":"W4416710501","doi":"10.1090/mbk/154/37","title":"Smooths, factoring, and large gaps between primes","year":2025,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"","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":[0.000456653,0.0008511638,0.001787694,0.00008017514,0.0002833618,0.0001326605,0.0004726617,0.0004634903,0.0002959206],"category_scores_gemma":[0.0002087947,0.0007535102,0.0008071352,0.0000366012,0.001012739,0.00005227498,0.0005282092,0.0009629166,0.00008923845],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001484896,"about_ca_system_score_gemma":0.0001491141,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001470004,"about_ca_topic_score_gemma":0.000002708271,"domain_scores_codex":[0.996837,0.00003457422,0.0009043263,0.0008276268,0.0006525207,0.0007439101],"domain_scores_gemma":[0.9965977,0.001446277,0.0006448977,0.0008891951,0.00009926874,0.000322641],"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":[0.000003907183,0.00004707478,0.00008471432,0.001312989,0.0007072689,0.000005949731,0.002324402,5.450125e-9,0.0000118565,0.9692168,0.01372844,0.01255659],"study_design_scores_gemma":[0.0003123202,0.00008685043,0.000040066,0.0008352192,0.0005264082,0.000005559674,0.0003123991,0.0000134817,0.0001230861,0.7914752,0.2055098,0.0007595916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.003394368,0.0003186957,0.01085825,0.000281972,0.0001059725,0.0009737349,0.0002060484,0.0005590863,0.9833019],"genre_scores_gemma":[0.009112574,0.0002119929,0.04676187,0.0007695559,0.0007429093,0.00006553468,0.00003715246,0.0003142641,0.9419842],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1917813,"threshold_uncertainty_score":0.9994916,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02844375783516977,"score_gpt":0.2839076071817334,"score_spread":0.2554638493465636,"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."}}