{"id":"W2076949420","doi":"10.1007/s11005-011-0527-4","title":"On Integrability of the Kontsevich Non-Abelian ODE System","year":2011,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brock University","funders":"","keywords":"Ode; Complex system; Integrable system; Operator (biology); Laurent series; Algebra over a field","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":[],"consensus_categories":[],"category_scores_codex":[0.000245972,0.0001896683,0.0004444428,0.00003061529,0.00005054526,0.000009401279,0.0003746017,0.00007437019,0.0000363878],"category_scores_gemma":[0.0003103275,0.0001146968,0.0001833634,0.000270617,0.0001575324,0.00006126343,0.0000858955,0.0002670463,0.00004906582],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001155147,"about_ca_system_score_gemma":0.00001087252,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002418302,"about_ca_topic_score_gemma":0.000005564255,"domain_scores_codex":[0.998452,0.0001255912,0.0006125469,0.0002246515,0.0003479289,0.0002372886],"domain_scores_gemma":[0.9983268,0.0006094106,0.0002212289,0.0007522786,0.00004107557,0.00004916456],"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":[0.00001788784,0.0005715776,0.0004244256,0.0008029924,0.00002054436,0.000001721457,0.001031114,0.00002564197,0.001473881,0.9950627,0.0000814215,0.0004860697],"study_design_scores_gemma":[0.0003224444,0.00003456889,0.0005877664,0.0008089867,0.00003066413,0.000001724024,0.0001598112,0.0143133,0.001690373,0.9818909,0.000002243886,0.0001572305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5111909,0.000001328001,0.4794781,0.000125231,0.0001509368,0.0005401798,0.000008027026,0.00004311476,0.008462146],"genre_scores_gemma":[0.9832422,1.319141e-7,0.0165013,0.000101085,0.00003995372,0.00004634737,8.614939e-7,0.00002452952,0.00004363202],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4720513,"threshold_uncertainty_score":0.4677198,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04563838229141566,"score_gpt":0.2739873143019964,"score_spread":0.2283489320105807,"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."}}