{"id":"W3089539380","doi":"10.4064/aa201002-25-6","title":"Sieving intervals and Siegel zeros","year":2022,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Sieve (category theory); Combinatorics; Minor (academic); Upper and lower bounds; Number theory; Discrete mathematics; Mathematical analysis; Humanities","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":[0.001203049,0.0001204704,0.0002289467,0.0001035643,0.0002711492,0.00006004563,0.0003290951,0.0000296894,0.004666504],"category_scores_gemma":[0.0009540855,0.0001161111,0.00006348808,0.0002076761,0.0001256827,0.00007674377,0.0009021382,0.0003728996,0.00005466176],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000719543,"about_ca_system_score_gemma":0.00003750319,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001019594,"about_ca_topic_score_gemma":0.000002254252,"domain_scores_codex":[0.9985008,0.0002428086,0.0002340884,0.0002651958,0.0004316833,0.0003254225],"domain_scores_gemma":[0.9982726,0.001107138,0.00006237542,0.0003989909,0.00004130954,0.0001175922],"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":[0.0002784365,0.001442039,0.007225794,0.000613283,0.0007966207,0.000379782,0.009584189,0.000005859174,0.03149337,0.7922198,0.1240858,0.03187504],"study_design_scores_gemma":[0.001199009,0.0004121216,0.0009708438,0.00005593951,0.000170867,0.0003568854,0.003775371,0.005219951,0.002923554,0.9203431,0.06395951,0.0006128605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9601523,0.000152955,0.002126353,0.004495184,0.0001343144,0.0004658928,0.00002426068,0.0001733815,0.03227537],"genre_scores_gemma":[0.9882451,0.000008899697,0.004476209,0.0002339588,0.00004359261,0.0000469266,0.000002403553,0.0000352991,0.006907621],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1281233,"threshold_uncertainty_score":0.9962434,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0613688657005865,"score_gpt":0.3474857126747387,"score_spread":0.2861168469741522,"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."}}