{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003584246,0.001286685,0.001062106,0.001976914,0.003212489,0.006727885,0.001263997,0.001432352,0.04814615],"category_scores_gemma":[0.006444294,0.001231679,0.002449215,0.001642996,0.004735956,0.01380739,0.006369691,0.00471776,0.02402223],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002869817,"about_ca_system_score_gemma":0.002373688,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00465774,"about_ca_topic_score_gemma":0.003106184,"domain_scores_codex":[0.9951733,0.0008524645,0.0003307205,0.001158981,0.001350566,0.001133975],"domain_scores_gemma":[0.9949774,0.001303865,0.0003609318,0.001383403,0.001524052,0.0004503046],"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":[0.000279916,0.0001057624,0.0016919,0.0002019923,0.00005046227,0.0003848061,0.001650078,0.0006844994,0.004196978,0.9258148,0.0419631,0.02297566],"study_design_scores_gemma":[0.0001324538,0.0001366986,0.002668476,0.0001765597,0.0001598036,0.0012304,0.001039064,0.004807177,0.04840042,0.5812551,0.3598064,0.0001873594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.09526524,0.001055797,0.4040331,0.007510269,0.002125494,0.0003993557,0.007518117,0.01663439,0.4654582],"genre_scores_gemma":[0.6787051,0.001212995,0.07344335,0.00274522,0.0009851301,0.0003269,0.008895802,0.01105359,0.222632],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.04814615,"threshold_uncertainty_score":0.1610649,"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."}}