{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":1,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":1,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"c1dbf432c08d","filters":{"venue":"Siberian Mathematical Journal"}},"results":[{"id":"W1982785548","doi":"10.1007/s11202-006-0074-x","title":"First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups","year":2006,"lang":"en","type":"article","venue":"Siberian Mathematical Journal","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Generating set of a group; Combinatorics; Order (exchange); Diophantine equation; Algebraic number; Set (abstract data type); Group (periodic table); Free group; Discrete mathematics; Algebra over a field; Pure mathematics; Computer science","authors":[{"name":"Ch. K. Gupta","is_ca":true},{"name":"Е. И. Тимошенко","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02220998927052047,"gpt":0.2839411937035542,"spread":0.2617312044330337,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001816044,0.000542032,0.001091817,0.003341152,0.003674492,0.005437792,0.001548786,0.0007943442,0.002696165],"category_scores_gemma":[0.003724797,0.0006143832,0.001939957,0.001613369,0.004824908,0.005267025,0.002186888,0.002741174,0.0002351517],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002598641,"about_ca_system_score_gemma":0.001280425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001099236,"about_ca_topic_score_gemma":0.0009687855,"domain_scores_codex":[0.9986306,0.0002570291,0.0001364,0.0003532267,0.0003008582,0.0003219099],"domain_scores_gemma":[0.9959968,0.002094207,0.0005662489,0.0003584441,0.0004873431,0.0004969427],"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":[0.00007661184,0.00004606675,0.001250608,0.00004478248,0.00002500171,0.0001006644,0.001101138,0.0006308199,0.0023888,0.9914075,0.0001545683,0.002773389],"study_design_scores_gemma":[0.00004707959,0.00005292593,0.002379879,0.00001873726,0.00004376176,0.0003727601,0.000348893,0.005832365,0.003955352,0.984853,0.002055091,0.00004013649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9239747,0.0003947582,0.05233447,0.0005619918,0.00005485478,0.00004711402,0.0004415203,0.0001054055,0.02208525],"genre_scores_gemma":[0.9840846,0.0001663163,0.01062771,0.00007881788,0.00008692585,0.00008436253,0.0004515687,0.00003648103,0.004383168],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005437792,"threshold_uncertainty_score":0.01885456,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}