{"id":"W2025620110","doi":"10.1142/s1793042105000303","title":"THE ILLUSORY SIEVE","year":2005,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Sieve (category theory); Dirichlet distribution; Prime (order theory); Discriminant; Elliptic curve; Pure mathematics; Combinatorics; Mathematical analysis; Artificial intelligence; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002352876,0.0004556059,0.001416497,0.002042426,0.002949609,0.003577308,0.001310576,0.001390236,0.01176352],"category_scores_gemma":[0.02831377,0.0006041103,0.0006707122,0.0009875449,0.005916874,0.006544602,0.004636678,0.003379239,0.00229963],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009757334,"about_ca_system_score_gemma":0.0007562364,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004328245,"about_ca_topic_score_gemma":0.0003593836,"domain_scores_codex":[0.9987978,0.0003596341,0.00003788681,0.000248639,0.000347549,0.0002084671],"domain_scores_gemma":[0.9929988,0.003833402,0.0006030707,0.001224238,0.0005028599,0.0008374971],"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":[0.00007729218,0.00001538048,0.0007455668,0.00003969674,0.00001088944,0.0001041522,0.0001717081,0.001721522,0.0002796457,0.9858003,0.003885356,0.007148556],"study_design_scores_gemma":[0.00001701989,0.00001927879,0.0002803611,0.00003688583,0.000004918533,0.0002138347,0.0000539716,0.007964439,0.0002992999,0.9874346,0.003662459,0.00001293104],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5249926,0.003545907,0.2152943,0.01974424,0.001049178,0.00007000363,0.0006583927,0.00104176,0.2336037],"genre_scores_gemma":[0.9661804,0.0009989833,0.008418366,0.001396697,0.0006919415,0.00006631422,0.0001948989,0.0001983492,0.02185408],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01176352,"threshold_uncertainty_score":0.03935289,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03989115023069986,"score_gpt":0.3839993158497812,"score_spread":0.3441081656190814,"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."}}