{"id":"W2102413579","doi":"10.4064/aa102-4-6","title":"The genera representing a positive integer","year":2002,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Integer (computer science); Combinatorics; Discrete mathematics; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001759401,0.000109126,0.0001432297,0.00002754461,0.0003414919,0.0001050682,0.0001864805,0.00005165002,0.0001967023],"category_scores_gemma":[0.001046552,0.0000680712,0.00008570086,0.0001435176,0.00008378554,0.0000771365,0.00009407251,0.0001528866,0.00007317827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003028515,"about_ca_system_score_gemma":0.000003625612,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002009804,"about_ca_topic_score_gemma":0.00001600613,"domain_scores_codex":[0.9989743,0.00008692149,0.0002753656,0.0001936194,0.0002133111,0.0002564752],"domain_scores_gemma":[0.9982483,0.001119459,0.00009582436,0.0003873991,0.00008243872,0.00006655968],"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":[0.00001447352,0.000310418,0.0001851225,0.00002283818,0.0001505611,0.00001402196,0.0008862383,0.000009652719,0.00325868,0.9370572,0.00814726,0.04994353],"study_design_scores_gemma":[0.0008772662,0.000122301,0.0007667515,0.0001261157,0.0001462525,0.00006068049,0.0005961343,0.3231358,0.001428185,0.634544,0.03755955,0.0006369336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2117372,0.0007030208,0.602044,0.01296039,0.001103924,0.001322388,0.00003181647,0.000470414,0.1696269],"genre_scores_gemma":[0.9861142,0.00002609242,0.008164454,0.00006276267,0.0001395607,0.00003151043,0.000002258641,0.0000193488,0.0054398],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.774377,"threshold_uncertainty_score":0.2775863,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05188986403763801,"score_gpt":0.3015290036975978,"score_spread":0.2496391396599598,"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."}}