{"id":"W63232782","doi":"10.1016/j.crma.2007.07.018","title":"Purity of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> -torsors","year":2007,"lang":"lv","type":"article","venue":"Comptes Rendus Mathématique","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Functor; Combinatorics; Type (biology); Simple (philosophy); Pure mathematics; Algebraic number; Mathematical analysis","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","research_integrity","insufficient_payload"],"consensus_categories":["research_integrity","insufficient_payload"],"category_scores_codex":[0.004212416,0.00121852,0.0009479643,0.0006336615,0.001187647,0.0006191058,0.002254986,0.002567693,0.02412748],"category_scores_gemma":[0.002386513,0.001804755,0.001694435,0.00133451,0.001415683,0.001012941,0.001785792,0.002333015,0.004540423],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006442762,"about_ca_system_score_gemma":0.0008801111,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005093495,"about_ca_topic_score_gemma":0.0003817457,"domain_scores_codex":[0.9904717,0.0006523721,0.002833477,0.001566104,0.002154147,0.002322226],"domain_scores_gemma":[0.9894086,0.003519077,0.002768029,0.003013764,0.0002957669,0.0009947356],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0007774276,0.0009826454,0.00007836287,0.003230428,0.001244758,0.000711413,0.004484751,0.0001660065,0.002224657,0.9117148,0.0731422,0.001242526],"study_design_scores_gemma":[0.003441907,0.00195123,0.0004954088,0.003993824,0.002104493,0.001898837,0.005694538,0.03754109,0.8863155,0.03945122,0.013905,0.003206998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9143772,0.002041509,0.002963677,0.0003632047,0.002377634,0.0001752559,0.0004029163,0.0004129951,0.07688565],"genre_scores_gemma":[0.9882717,0.0009706564,0.006381813,0.0007204105,0.001393257,0.0002929365,0.0004748586,0.0005869311,0.0009074025],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8840908,"threshold_uncertainty_score":0.9999686,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02057463090788834,"score_gpt":0.2538922560641401,"score_spread":0.2333176251562518,"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."}}