{"id":"W2949592052","doi":"10.48550/arxiv.math/0408142","title":"The parity problem for reducible cubic forms","year":2004,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Parity (physics); Mathematics; Physics; Particle physics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002813773,0.000393772,0.000558343,0.00007938521,0.0005222881,0.0001599725,0.001308993,0.0004084772,0.0001053062],"category_scores_gemma":[0.00132618,0.0002590665,0.0004352532,0.0001689805,0.000297441,0.00008743966,0.001194214,0.001187657,0.0002640935],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000397171,"about_ca_system_score_gemma":0.0007010107,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001045531,"about_ca_topic_score_gemma":0.0001405809,"domain_scores_codex":[0.997125,0.0001207912,0.0006668009,0.0007228089,0.0005104828,0.0008541355],"domain_scores_gemma":[0.9960208,0.001207841,0.0003645899,0.001909296,0.0003256538,0.0001718036],"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":[0.0004125926,0.0008864809,0.03816578,0.005262084,0.001517568,0.00002803469,0.00211396,0.0002181612,0.0003042995,0.9163624,0.03171091,0.003017753],"study_design_scores_gemma":[0.0005140226,0.00005938056,0.0006691869,0.0002938527,0.0001312432,0.000007752553,0.0002229903,0.0002051266,0.001592337,0.9884955,0.007474188,0.0003344736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9432927,0.00056366,0.01562384,0.00486758,0.0006061682,0.005099845,0.00007966046,0.0003774784,0.02948907],"genre_scores_gemma":[0.9650901,0.0001929431,0.006105657,0.00008053781,0.000477296,0.001166499,0.00004857214,0.000155841,0.02668256],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07213306,"threshold_uncertainty_score":0.9999862,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.158146544131601,"score_gpt":0.3944362394959804,"score_spread":0.2362896953643794,"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."}}