{"id":"W2045030404","doi":"10.1134/s1063778809050184","title":"Superintegrability with second- and third-order integrals of motion","year":2009,"lang":"en","type":"article","venue":"Physics of Atomic Nuclei","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Physics; Scalar (mathematics); Motion (physics); Continuation; Euclidean space; Euclidean geometry; Third order; Order (exchange); Classical mechanics; Mathematical physics; Space (punctuation); Mathematical analysis; Geometry; Mathematics","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":[0.0001175632,0.0001933164,0.0003887901,0.00002683994,0.00004009158,0.00001599071,0.0001450674,0.00003375103,0.0001011806],"category_scores_gemma":[0.000002489237,0.0001615978,0.0001009084,0.0001770952,0.0001052881,0.0002020988,0.00003265433,0.0001598684,0.000005148367],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001212996,"about_ca_system_score_gemma":0.00005009153,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000773867,"about_ca_topic_score_gemma":0.000002623646,"domain_scores_codex":[0.9991013,0.00002912433,0.0002820302,0.0002540471,0.0001473371,0.000186159],"domain_scores_gemma":[0.9992035,0.00003944903,0.0001927596,0.0003306061,0.0001694845,0.00006417095],"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":[0.00009634385,0.0005510585,0.008604594,0.00007717529,0.0001085957,3.591063e-7,0.0006127206,0.00001379517,0.05429181,0.8804549,0.0001212971,0.05506733],"study_design_scores_gemma":[0.0009976856,0.0003712587,0.01096931,0.0001153128,0.00006270693,9.457911e-7,0.0004364255,0.003426376,0.2305813,0.7525882,0.0001277467,0.0003227664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9871749,0.00001982712,0.007316568,0.00005931452,0.00003968765,0.000173652,0.00007378114,0.00001717243,0.005125158],"genre_scores_gemma":[0.9987165,0.000003781569,0.00109124,0.00002970505,0.00008144947,0.000003371963,0.00001741355,0.00001905799,0.00003747057],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1762894,"threshold_uncertainty_score":0.6589769,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00925888894345973,"score_gpt":0.2301453990853655,"score_spread":0.2208865101419057,"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."}}