{"id":"W1162199193","doi":"10.1142/s0219199716500218","title":"Third-order differential equations and local isometric immersions of pseudospherical surfaces","year":2016,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; McGill University","keywords":"Mathematics; Integrable system; Partial differential equation; Mathematical analysis; Conservation law; Differential equation; Pure mathematics; Mathematical physics","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":[0.0001607833,0.0001138801,0.0002538823,0.00009588222,0.0001067174,0.00001689851,0.0004141536,0.00004275718,0.0001637913],"category_scores_gemma":[0.00006531948,0.00008242649,0.0000584105,0.000408558,0.0003567895,0.0001276609,0.0003255033,0.0001208806,0.00001163995],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001439416,"about_ca_system_score_gemma":0.00008923747,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001018316,"about_ca_topic_score_gemma":0.000009329259,"domain_scores_codex":[0.9990963,0.00008738689,0.0004571368,0.0001211336,0.0001106737,0.0001273558],"domain_scores_gemma":[0.9975785,0.001252213,0.0001658612,0.0008591528,0.00008711196,0.00005716314],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001932444,0.003663534,0.08470976,0.0001093538,0.0002532867,8.13797e-7,0.003305513,0.00003072479,0.003597956,0.8723041,0.001141741,0.03086394],"study_design_scores_gemma":[0.01247156,0.0006262418,0.03931396,0.002462027,0.0003710822,0.000008776141,0.04133439,0.5818581,0.00482503,0.2925673,0.0213191,0.002842479],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3269819,0.00123473,0.6440387,0.002182336,0.00008119574,0.0004704201,0.0002041935,0.00003576902,0.02477071],"genre_scores_gemma":[0.9793665,0.00006961375,0.01987799,0.000008495585,0.00001664618,0.00001926458,0.00002307546,0.00001339841,0.0006050352],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6523846,"threshold_uncertainty_score":0.3361255,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07071479237851734,"score_gpt":0.3234597626339235,"score_spread":0.2527449702554061,"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."}}