{"id":"W2038697257","doi":"10.1070/sm2008v199n04abeh003930","title":"The test rank of a soluble product of free Abelian groups","year":2008,"lang":"en","type":"article","venue":"Sbornik Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Abelian group; Rank of an abelian group; Rank (graph theory); Test (biology); Elementary abelian group; Pure mathematics; Product (mathematics); Combinatorics; Algebra over a field; Botany; Geometry","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0007886413,0.0002055413,0.0005740168,0.0001527955,0.0001939995,0.000007498263,0.0007223132,0.00009070476,0.0001042427],"category_scores_gemma":[0.01048614,0.0001350487,0.0001374884,0.0006735137,0.0005550729,0.00005190365,0.0001986063,0.0001815674,0.00003193343],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001823951,"about_ca_system_score_gemma":0.0001052862,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001577255,"about_ca_topic_score_gemma":0.00001853445,"domain_scores_codex":[0.9980575,0.00004687975,0.0008750918,0.000201895,0.0004539989,0.0003646252],"domain_scores_gemma":[0.9940441,0.003770578,0.0006318044,0.001238149,0.0002495454,0.00006580101],"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":[0.00004399482,0.003465867,0.004081077,0.003121475,0.0004293679,0.00004101397,0.01254924,0.000007508722,0.006423814,0.8458797,0.1216221,0.002334818],"study_design_scores_gemma":[0.0009712079,0.0002986089,0.0007438668,0.000114425,0.0001266576,0.0001932139,0.001042781,0.0001755008,0.01377709,0.9803351,0.001964345,0.0002572499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9613203,0.001552486,0.009132914,0.001790685,0.0007647037,0.001435813,0.00009045994,0.0002109938,0.02370168],"genre_scores_gemma":[0.9394621,0.00023143,0.05630042,0.000020293,0.0001119271,0.00002773123,0.000001991573,0.00004953207,0.00379459],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1344553,"threshold_uncertainty_score":0.9978489,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03802229260518577,"score_gpt":0.2665704740928585,"score_spread":0.2285481814876727,"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."}}