{"id":"W3105373806","doi":"","title":"The influence of the first term of an arithmetic progression","year":2011,"lang":"en","type":"article","venue":"","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Arithmetic progression; Arithmetic; Term (time); Integer (computer science); Sequence (biology); Value (mathematics); Class (philosophy); Distribution (mathematics); Discrete mathematics; Statistics; Computer science; Artificial intelligence","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074422,0.00006097642,0.0001086432,0.0000192443,0.000101527,0.000007237606,0.0006268982,0.00003376502,0.000114882],"category_scores_gemma":[0.0004043925,0.00002507523,0.00005111905,0.0001461968,0.0004176344,0.00005925502,0.0001863998,0.00009575397,0.000007185186],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009192788,"about_ca_system_score_gemma":0.00004864245,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004502815,"about_ca_topic_score_gemma":0.0001001597,"domain_scores_codex":[0.9991339,0.00008752831,0.0002323255,0.00008673083,0.0003196528,0.0001398867],"domain_scores_gemma":[0.9986884,0.0003366868,0.0001314403,0.0006841191,0.0001276327,0.00003174401],"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":[0.000181771,0.0009438005,0.1017748,0.0004472436,0.0001260202,0.000004328489,0.006921599,0.000004180394,0.002595097,0.8773826,0.0004446752,0.009173913],"study_design_scores_gemma":[0.0004174246,0.0002649371,0.1658998,0.0003014524,0.00006133402,0.00001409286,0.0009727554,0.0005365848,0.0838149,0.7473351,0.0002396447,0.0001419229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9824762,0.000009694137,0.00006252984,0.00008664999,0.00001337589,0.0002394004,8.846176e-7,0.00001255432,0.01709868],"genre_scores_gemma":[0.9969207,0.000003135759,0.001825305,0.00001090255,0.000006275507,0.000009531158,6.0399e-8,0.000008568622,0.001215507],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1300474,"threshold_uncertainty_score":0.1538791,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06261818279110384,"score_gpt":0.3594436847558033,"score_spread":0.2968255019646995,"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."}}