{"id":"W4391620072","doi":"10.4064/aa230704-1-11","title":"The large sieve revisited","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Sieve (category theory); Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001590607,0.0004634514,0.0007418137,0.001878569,0.001753767,0.003151409,0.001133572,0.001897071,0.01761961],"category_scores_gemma":[0.006807338,0.0002940404,0.0005434792,0.001232955,0.005228554,0.008745582,0.003668997,0.003937095,0.001872117],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001152668,"about_ca_system_score_gemma":0.0005092999,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004839679,"about_ca_topic_score_gemma":0.0005933322,"domain_scores_codex":[0.9988851,0.0002536074,0.00003848467,0.0002146081,0.0004082652,0.0001998882],"domain_scores_gemma":[0.9976267,0.001393041,0.0001580766,0.0003562441,0.000247439,0.0002184739],"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":[0.000005568304,0.000002475954,0.00004105182,0.000009069507,0.000001461222,0.00001886476,0.00002481808,0.0001924993,0.0000875085,0.9967354,0.0006120455,0.002269214],"study_design_scores_gemma":[0.000004192719,0.000006960226,0.00009852842,0.00001698634,0.000001646031,0.00006650358,0.00002122185,0.001483887,0.0001877111,0.9933569,0.004750726,0.000004708258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1565655,0.008535913,0.202188,0.0199977,0.0008384287,0.00004038144,0.0004230182,0.0003549728,0.6110561],"genre_scores_gemma":[0.9377058,0.002438537,0.01402681,0.002199442,0.0009505354,0.00006701658,0.000172217,0.0001330948,0.04230655],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01761961,"threshold_uncertainty_score":0.05894345,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04151180642093519,"score_gpt":0.370783500175151,"score_spread":0.3292716937542158,"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."}}