{"id":"W2313609681","doi":"10.4153/cmb-2009-009-2","title":"A SAGBI Basis For 𝔽[<i>V</i><sub>2</sub> ⊕ <i>V</i><sub>2</sub> ⊕ <i>V</i><sub>3</sub>]<i><sup>C<sub>p</sub></sup></i>","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada; University of British Columbia","funders":"","keywords":"Mathematics; Combinatorics; Indecomposable module; Order (exchange); Prime (order theory); Basis (linear algebra); Field (mathematics); Discrete mathematics; Pure mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.003861761,0.002540847,0.002670946,0.001806116,0.002028811,0.001699333,0.004898062,0.001429377,0.0002765088],"category_scores_gemma":[0.001987091,0.002720876,0.00217013,0.003449969,0.001060556,0.0009103347,0.0007169738,0.00208747,0.007659569],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009818142,"about_ca_system_score_gemma":0.001637473,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001242811,"about_ca_topic_score_gemma":0.001033735,"domain_scores_codex":[0.9848872,0.0009418341,0.002953974,0.003769229,0.002110929,0.005336826],"domain_scores_gemma":[0.9862809,0.00287801,0.0009189801,0.004284374,0.0008167237,0.00482097],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0003871479,0.001468506,0.0000567858,0.001031485,0.0005953746,0.0009359301,0.002922731,0.0004251354,0.4974351,0.1731491,0.1794557,0.1421369],"study_design_scores_gemma":[0.003576763,0.001362917,0.0002122403,0.001563561,0.0005846814,0.0007129601,0.000394791,0.006644981,0.7643391,0.1547825,0.06100342,0.004822111],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8741785,0.0009713124,0.09256756,0.0187979,0.00109805,0.003884929,0.0006435087,0.001703064,0.006155235],"genre_scores_gemma":[0.9701341,0.000410106,0.007293218,0.01939794,0.001227054,0.0008890807,0.0001502692,0.0004234357,0.00007473372],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.266904,"threshold_uncertainty_score":0.999867,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01012028251058154,"score_gpt":0.2023116981376604,"score_spread":0.1921914156270788,"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."}}