{"id":"W4401421447","doi":"10.1016/j.ffa.2024.102474","title":"On the stable polynomials of degrees 2,3,4","year":2024,"lang":"en","type":"article","venue":"Finite Fields and Their Applications","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Algebra over a field; Combinatorics","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0003662642,0.00006890363,0.0001041332,0.00004565719,0.00009210008,0.00003728717,0.0001506232,0.00004893688,0.0004850731],"category_scores_gemma":[0.0001099319,0.00003782608,0.00004711481,0.0001687122,0.00008035776,0.0000225353,0.00005073205,0.0001444432,0.00005080447],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005850251,"about_ca_system_score_gemma":0.00002667351,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001546474,"about_ca_topic_score_gemma":0.00001025345,"domain_scores_codex":[0.9995248,0.00003545538,0.0001388889,0.0001208233,0.00007565883,0.000104316],"domain_scores_gemma":[0.9955558,0.004038854,0.00002525459,0.0003216909,0.00002893657,0.00002943316],"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":[0.000004054601,0.00002697924,0.00001040956,0.0000509246,0.00003952544,2.031364e-7,0.0004051966,0.000003418641,0.0001280422,0.991599,0.004607258,0.003124948],"study_design_scores_gemma":[0.00003706313,0.00002842762,0.00001242899,0.00004575591,0.00001358869,0.000001667408,0.0003328668,0.002376757,0.001289392,0.9730199,0.02278928,0.0000528845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1224549,0.002035764,0.6039794,0.0138799,0.0001065638,0.002033246,0.0004762743,0.0002666513,0.2547673],"genre_scores_gemma":[0.9954023,0.00005068273,0.000343553,0.00007390595,0.00005256713,0.000144947,0.000003237038,0.00001145634,0.003917313],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8729475,"threshold_uncertainty_score":0.531121,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06740493582419127,"score_gpt":0.3319059122330857,"score_spread":0.2645009764088945,"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."}}