{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":29,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":29,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"987c93da2189","filters":{"venue":"Journal of Nonlinear Mathematical Physics"}},"results":[{"id":"W2115352291","doi":"10.2991/jnmp.2006.13.4.12","title":"Provenance of Type II hidden symmetries from nonlinear partial differential equations","year":2006,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":45,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Division of Mathematical Sciences; Australian Mathematical Sciences Institute; McGill University","keywords":"Mathematics; Homogeneous space; Type (biology); Nonlinear system; Partial differential equation; Mathematical analysis; Pure mathematics; Geometry; Physics; Geology","authors":[{"name":"Barbara Abraham‐Shrauner","is_ca":false},{"name":"K. S. Govinder","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01741038133400559,"gpt":0.2691037129307356,"spread":0.25169333159673,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001258947,0.0002060939,0.0005895547,0.00005107011,0.000107488,0.00004294324,0.000261411,0.00006261856,0.0003726826],"category_scores_gemma":[0.00007689786,0.0001606044,0.0003434424,0.0002559313,0.0001329774,0.000192758,0.00009715535,0.0003179964,0.00002734413],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001858118,"about_ca_system_score_gemma":0.0001633103,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000442257,"about_ca_topic_score_gemma":6.607368e-7,"domain_scores_codex":[0.998187,0.0000458752,0.0009156711,0.0001471769,0.0004571394,0.0002471264],"domain_scores_gemma":[0.9981573,0.0003094043,0.0006780287,0.000268268,0.0004873702,0.00009961904],"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":[0.0005328186,0.01802588,0.00357889,0.0003338808,0.001704064,0.00002853121,0.001681034,0.001436084,0.03962738,0.8989637,0.004442603,0.02964512],"study_design_scores_gemma":[0.003564515,0.001078242,0.0009311028,0.0006031229,0.0009762265,0.000006608927,0.0005546712,0.1905093,0.07556666,0.7196507,0.005685409,0.0008734355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8444667,0.0001010551,0.1512265,0.000257025,0.0004151816,0.0002062373,0.0004375425,0.00001655039,0.00287321],"genre_scores_gemma":[0.9534507,0.000003068767,0.04069444,0.00001656691,0.005355071,0.000001666803,0.00008668739,0.0000353542,0.0003564487],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1890732,"threshold_uncertainty_score":0.6549259,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2127690664","doi":"10.2991/jnmp.2005.12.s1.2","title":"Some Symmetry Classifications of Hyperbolic Vector Evolution Equations","year":2005,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":25,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"","keywords":"Mathematics; Sigma; Integrable system; Scaling; Symmetry (geometry); Invariant (physics); Mathematical physics; Pure mathematics; Class (philosophy); Hyperbolic partial differential equation; Mathematical analysis; Physics; Geometry; Partial differential equation; Quantum mechanics","authors":[{"name":"Stephen C. Anco","is_ca":true},{"name":"Thomas Wolf","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02483048686272323,"gpt":0.2904371577082062,"spread":0.265606670845483,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002120568,0.000131537,0.000365299,0.00006940902,0.00007178075,0.00002313797,0.0002049439,0.00004350474,0.0001239241],"category_scores_gemma":[0.00006390792,0.0001076709,0.0003116911,0.0002201478,0.00009176273,0.0003062242,0.00003348341,0.0002730872,0.00009062838],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004660846,"about_ca_system_score_gemma":0.0001649091,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000028883,"about_ca_topic_score_gemma":1.829577e-7,"domain_scores_codex":[0.9986458,0.00004293315,0.000717319,0.00009501841,0.0003176359,0.000181273],"domain_scores_gemma":[0.9985708,0.0002710742,0.000504446,0.000243309,0.000287016,0.000123359],"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":[0.000008755435,0.001487374,0.000199316,0.00003635735,0.0001301428,3.974501e-7,0.0001975385,0.0003819765,0.005261977,0.986331,0.0002442648,0.005720943],"study_design_scores_gemma":[0.001257499,0.0002233057,0.001376163,0.000227784,0.0003852342,0.00001055676,0.0007062457,0.1267745,0.008543734,0.8570762,0.003040133,0.000378658],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.391932,0.0003038424,0.5977384,0.002411479,0.0003400112,0.0003185714,0.000243144,0.00002961523,0.006682885],"genre_scores_gemma":[0.94526,0.00000380332,0.05018689,0.00002725193,0.004296715,0.00000200562,0.00001173891,0.00002190735,0.0001896221],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.553328,"threshold_uncertainty_score":0.4390694,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4242721449","doi":"10.2991/jnmp.2001.8.s.5","title":"Peakon-Antipeakon Interaction","year":2001,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":24,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Peakon; Term (time); Mathematics; Camassa–Holm equation; Applied mathematics; Mathematical analysis; Physics; Integrable system","authors":[{"name":"Richard Beals","is_ca":false},{"name":"D. H. Sattinger","is_ca":false},{"name":"Jacek Szmigielski","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02376559029730949,"gpt":0.3068421929687338,"spread":0.2830766026714243,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002112411,0.0001486138,0.0003410311,0.00004303502,0.00006236259,0.00005940091,0.0001821261,0.00003281586,0.0005372418],"category_scores_gemma":[0.00002416955,0.0001131033,0.0003187055,0.0001548934,0.00004529619,0.0002867178,0.00004073963,0.0003615037,0.0001812121],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002121056,"about_ca_system_score_gemma":0.00005476473,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003315694,"about_ca_topic_score_gemma":1.221346e-7,"domain_scores_codex":[0.9988316,0.00003829856,0.0005350137,0.00009755369,0.0002903288,0.0002072627],"domain_scores_gemma":[0.9989839,0.0001362269,0.0003609617,0.0001849383,0.000198373,0.0001356461],"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":[0.0007065161,0.0159672,0.02295423,0.0004008886,0.002192599,0.0003138653,0.004050728,0.002883618,0.01485922,0.5679439,0.01161496,0.3561123],"study_design_scores_gemma":[0.003100408,0.0007422153,0.0009314724,0.0006429555,0.0004981424,0.0003762314,0.002756508,0.08367468,0.007291269,0.8161506,0.0829069,0.000928617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.770878,0.0000333733,0.178409,0.0006050206,0.0005393694,0.0001419433,0.00001974976,0.00002410846,0.04934939],"genre_scores_gemma":[0.9656841,0.00001024891,0.02833949,0.00007558573,0.005165218,0.000001108315,0.000009690281,0.0000367237,0.0006778762],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3551837,"threshold_uncertainty_score":0.5882421,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2088756933","doi":"10.1080/14029251.2013.792476","title":"On the Discretization of the Coupled Integrable Dispersionless Equations","year":2013,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":24,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Shanghai Educational Development Foundation; Natural Sciences and Engineering Research Council of Canada; Shanghai Municipal Education Commission; National Natural Science Foundation of China","keywords":"Integrable system; Discretization; Mathematics; Bilinear interpolation; Dispersionless equation; Bilinear form; Soliton; Mathematical analysis; Mathematical physics; Nonlinear system; Kadomtsev–Petviashvili equation; Physics; Partial differential equation; Quantum mechanics","authors":[{"name":"Luc Vinet","is_ca":true},{"name":"Guo‐Fu Yu","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01506567712720224,"gpt":0.2518680172672224,"spread":0.2368023401400202,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001899795,0.0001031602,0.0002127279,0.0000152532,0.0001160733,0.0000439706,0.0002932968,0.00002298673,0.0004922551],"category_scores_gemma":[0.0001145764,0.00004569483,0.0002620565,0.0001745592,0.0001171114,0.0001145846,0.00004701442,0.0002746334,0.00005096117],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001326297,"about_ca_system_score_gemma":0.00006468937,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001098531,"about_ca_topic_score_gemma":2.262525e-7,"domain_scores_codex":[0.9990262,0.00006201486,0.0004091812,0.00005962527,0.0003219128,0.0001211119],"domain_scores_gemma":[0.9984341,0.000624641,0.0003788162,0.0002556966,0.0002551177,0.00005163859],"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":[0.000006162119,0.0005875374,0.0002004506,0.00001806692,0.00007811232,1.07513e-7,0.0003492551,0.0007912455,0.001286179,0.9950954,0.0006339899,0.0009535304],"study_design_scores_gemma":[0.0003167345,0.00008031362,0.0002583172,0.0002333517,0.00008354126,0.000001109773,0.001100876,0.223333,0.002769414,0.7715676,0.0001534807,0.0001023035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7256479,0.00001073934,0.2590092,0.004566108,0.0002228131,0.0004421723,0.00004332273,0.00000600444,0.01005168],"genre_scores_gemma":[0.9966506,0.000001037155,0.002430811,0.00007954102,0.000440479,0.000003442957,0.000004061022,0.00001416996,0.0003758464],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2710027,"threshold_uncertainty_score":0.5389848,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2153337155","doi":"10.2991/jnmp.2001.8.supplement.5","title":"Peakon-Antipeakon Interaction","year":2001,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":23,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Peakon; Term (time); Mathematics; Camassa–Holm equation; Applied mathematics; Mathematical analysis; Physics; Integrable system","authors":[{"name":"Richard Beals","is_ca":false},{"name":"D. H. Sattinger","is_ca":false},{"name":"Jacek Szmigielski","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02376559029730949,"gpt":0.3068421929687338,"spread":0.2830766026714243,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002112411,0.0001486138,0.0003410311,0.00004303502,0.00006236259,0.00005940091,0.0001821261,0.00003281586,0.0005372418],"category_scores_gemma":[0.00002416955,0.0001131033,0.0003187055,0.0001548934,0.00004529619,0.0002867178,0.00004073963,0.0003615037,0.0001812121],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002121056,"about_ca_system_score_gemma":0.00005476473,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003315694,"about_ca_topic_score_gemma":1.221346e-7,"domain_scores_codex":[0.9988316,0.00003829856,0.0005350137,0.00009755369,0.0002903288,0.0002072627],"domain_scores_gemma":[0.9989839,0.0001362269,0.0003609617,0.0001849383,0.000198373,0.0001356461],"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":[0.0007065161,0.0159672,0.02295423,0.0004008886,0.002192599,0.0003138653,0.004050728,0.002883618,0.01485922,0.5679439,0.01161496,0.3561123],"study_design_scores_gemma":[0.003100408,0.0007422153,0.0009314724,0.0006429555,0.0004981424,0.0003762314,0.002756508,0.08367468,0.007291269,0.8161506,0.0829069,0.000928617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.770878,0.0000333733,0.178409,0.0006050206,0.0005393694,0.0001419433,0.00001974976,0.00002410846,0.04934939],"genre_scores_gemma":[0.9656841,0.00001024891,0.02833949,0.00007558573,0.005165218,0.000001108315,0.000009690281,0.0000367237,0.0006778762],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3551837,"threshold_uncertainty_score":0.5882421,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004724601","doi":"10.1142/s1402925110001045","title":"Lax Pair, Binary Darboux Transformation and New Grammian Solutions of Nonisospectral Kadomtsev–Petviashvili Equation with the Two-Singular-Manifold Method","year":2011,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Dalian University of Technology","keywords":"Mathematics; Kadomtsev–Petviashvili equation; Transformation (genetics); Binary number; Pure mathematics; Lax pair; Applied mathematics; Mathematical analysis; Partial differential equation; Characteristic equation; Arithmetic; Integrable system","authors":[{"name":"Shou‐Fu Tian","is_ca":true},{"name":"Hongqing Zhang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05606634226763398,"gpt":0.287906288087,"spread":0.231839945819366,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005053428,0.000182372,0.0003778871,0.0000462404,0.0001432319,0.00004152581,0.0001775954,0.00003875807,0.00007873172],"category_scores_gemma":[0.00001117157,0.0001125984,0.0001821427,0.0001858973,0.00009370212,0.0003177163,0.00002417822,0.0003218047,0.000005976673],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000179931,"about_ca_system_score_gemma":0.0001676915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005243665,"about_ca_topic_score_gemma":0.000003535562,"domain_scores_codex":[0.9986952,0.00009250486,0.0005443676,0.0001099456,0.000318764,0.0002392162],"domain_scores_gemma":[0.9988664,0.0001689881,0.0004460805,0.0002035882,0.0001723806,0.0001425827],"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":[0.0001334789,0.001020326,0.0002659732,0.0001033788,0.0003588879,0.000005077209,0.00689232,0.0002608482,0.002912294,0.9712723,0.00008521482,0.01668985],"study_design_scores_gemma":[0.003097472,0.001374514,0.0008933828,0.0003517579,0.0008975816,0.00007570945,0.003681049,0.1010462,0.01236487,0.8751581,0.0005774859,0.0004819192],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09282418,0.00003845373,0.9014829,0.000656862,0.00005401444,0.0002166207,0.00002331178,0.00001048172,0.004693127],"genre_scores_gemma":[0.8224071,0.000003221823,0.176794,0.00003332921,0.0006725681,0.000001813975,0.00001007185,0.00002643131,0.00005139244],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.729583,"threshold_uncertainty_score":0.4591632,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2151358095","doi":"10.2991/jnmp.2003.10.s2.4","title":"Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations","year":2003,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Norges Forskningsråd","keywords":"Noether's theorem; Mathematics; Homogeneous space; Lagrangian; Invariant (physics); Formalism (music); Integration by parts; Mathematical physics; Pure mathematics; Mathematical analysis; Algebra over a field; Geometry","authors":[{"name":"В. А. Дородницын","is_ca":false},{"name":"Roman Kozlov","is_ca":false},{"name":"P. Winternitz","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02180596846761326,"gpt":0.275881710569257,"spread":0.2540757421016437,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002309905,0.0001242919,0.0003290713,0.00005234906,0.00005806703,0.00003220616,0.00009213061,0.00003086597,0.0001951097],"category_scores_gemma":[0.0001213591,0.00009166262,0.0001101227,0.0002191889,0.00008254829,0.0001807686,0.00002284675,0.000222086,0.000004768166],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009402969,"about_ca_system_score_gemma":0.00008985792,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003607816,"about_ca_topic_score_gemma":9.75492e-7,"domain_scores_codex":[0.9990487,0.00004877867,0.0004914345,0.00007629677,0.0001957905,0.000139051],"domain_scores_gemma":[0.9987714,0.0002942402,0.000332881,0.0001316667,0.0003742311,0.00009563468],"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":[0.00002701116,0.001175738,0.000441992,0.000128777,0.0001750482,0.000002395905,0.0008284691,0.00002783325,0.006128091,0.976536,0.0001386753,0.01438992],"study_design_scores_gemma":[0.001836182,0.0008032202,0.000866067,0.0003431085,0.0002710993,0.00003210573,0.00191239,0.01911274,0.01462604,0.957635,0.0021591,0.0004029484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5676932,0.00007846778,0.4237489,0.0001376663,0.0001060057,0.0001446852,0.00007944909,0.000005519707,0.008006103],"genre_scores_gemma":[0.9317561,0.000004854436,0.06754692,0.00003109963,0.0002882201,0.000001168539,0.00001080666,0.00001502073,0.0003457711],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3640629,"threshold_uncertainty_score":0.3737893,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2118596740","doi":"10.2991/jnmp.2008.15.s3.35","title":"Symmetry Preserving Discretization of SL(2,R) Invariant Equations","year":2008,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneous space; Invariant (physics); Discretization; Ode; Lie group; Symmetry group; Nonlinear system","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03130109163828522,"gpt":0.2816837553160452,"spread":0.25038266367776,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002131278,0.0001247338,0.0003752622,0.00004945993,0.0000864742,0.00001719257,0.0002122877,0.00003595757,0.0001571643],"category_scores_gemma":[0.0001068407,0.00009677267,0.000248768,0.0002272916,0.00009132377,0.0002384443,0.00006202426,0.0002302002,0.00001854183],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001369408,"about_ca_system_score_gemma":0.0001349,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006099971,"about_ca_topic_score_gemma":1.233596e-7,"domain_scores_codex":[0.9986622,0.00005082345,0.0006833098,0.00008515968,0.0003595829,0.0001589707],"domain_scores_gemma":[0.9985579,0.0003016304,0.0005208002,0.0002135967,0.0002990065,0.0001070488],"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":[0.0000366813,0.002204352,0.003387922,0.0001713192,0.0003297355,0.00001214054,0.00151848,0.001380588,0.004237565,0.9842464,0.0005277955,0.00194706],"study_design_scores_gemma":[0.001981627,0.0004255436,0.00151452,0.0006271697,0.0003725257,0.0000534204,0.001087729,0.2106111,0.01706017,0.7646356,0.001078255,0.000552343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2819822,0.00003606998,0.7051512,0.0002983123,0.0001226485,0.0001490532,0.00006808186,0.00000941315,0.01218299],"genre_scores_gemma":[0.940061,0.000006427543,0.05842786,0.00001977388,0.001203739,0.000001095913,0.0000175492,0.00002352274,0.0002389753],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6580788,"threshold_uncertainty_score":0.3946275,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2097351749","doi":"10.2991/jnmp.2006.13.3.6","title":"Riemann Invariants and Rank-k Solutions of Hyperbolic Systems","year":2006,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Université du Québec à Trois-Rivières; Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Riemann hypothesis; Type (biology); Symmetry (geometry); Construct (python library); Cauchy–Riemann equations; Riemann problem; Hyperbolic partial differential equation; Riemann's differential equation; Riemann surface","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.01777933152932065,"gpt":0.2489004146522234,"spread":0.2311210831229028,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002577688,0.0001334115,0.0004661573,0.00004063719,0.00006845397,0.00003981982,0.0001266991,0.00003872829,0.00003440799],"category_scores_gemma":[0.00001636483,0.0001026228,0.0001755461,0.0001222478,0.0001127238,0.0001467767,0.0000502676,0.0001990692,0.00001276824],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009652655,"about_ca_system_score_gemma":0.00007232175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003170479,"about_ca_topic_score_gemma":2.781093e-7,"domain_scores_codex":[0.9987684,0.00004484674,0.0006498384,0.00008725362,0.0002494884,0.0002001297],"domain_scores_gemma":[0.9989799,0.0001583978,0.0004120728,0.0001607691,0.0001969808,0.0000918366],"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":[0.00003655265,0.002158617,0.001756416,0.0003086577,0.0003005056,0.00001049068,0.0003091484,0.0009974728,0.005178486,0.9854769,0.001244701,0.002222114],"study_design_scores_gemma":[0.003046823,0.0003571871,0.002015967,0.0007074951,0.0005518841,0.0001099464,0.001003684,0.09279172,0.00247736,0.8928583,0.003510743,0.0005688478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8388935,0.0004278443,0.1460088,0.0002831882,0.0003016862,0.0002792577,0.0001846973,0.00001467089,0.01360632],"genre_scores_gemma":[0.9855757,0.000004978087,0.01230911,0.000009529766,0.001869835,0.000001206063,0.000007496771,0.00002103664,0.0002011563],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1466821,"threshold_uncertainty_score":0.4184837,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963784027","doi":"10.1080/14029251.2017.1375693","title":"Liouville Integrability of Conservative Peakons for a Modified CH equation","year":2017,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Peakon; Camassa–Holm equation; Integrable system; Mathematics; Norm (philosophy); Sobolev space; Invariant (physics); Hamiltonian (control theory); Mathematical analysis; Applied mathematics; Pure mathematics; Mathematical physics; Mathematical optimization","authors":[{"name":"Xiang‐Ke Chang","is_ca":false},{"name":"Jacek Szmigielski","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07626478864070767,"gpt":0.3483193856077098,"spread":0.2720545969670021,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004745784,0.0001388514,0.0005016106,0.00002631406,0.0001628447,0.00005861874,0.0003344771,0.00004280492,0.00008111893],"category_scores_gemma":[0.0003169111,0.0001038724,0.0004017811,0.00004456722,0.0001950338,0.0002331425,0.00006171558,0.0002157515,0.000007886903],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001875788,"about_ca_system_score_gemma":0.0001560865,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001351899,"about_ca_topic_score_gemma":5.079449e-7,"domain_scores_codex":[0.9988263,0.00003697687,0.0006317256,0.0001071553,0.0002311882,0.0001667096],"domain_scores_gemma":[0.9974191,0.0004444941,0.001017765,0.0003876796,0.0006360707,0.00009484649],"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":[0.0003403974,0.003963938,0.002720616,0.0004618479,0.0006999918,0.000001969242,0.001985898,0.0003148667,0.005158602,0.9653949,0.0008982141,0.01805877],"study_design_scores_gemma":[0.00155936,0.0003346885,0.0007400202,0.0002238722,0.0001726161,0.000002126206,0.0004687042,0.1092448,0.01007255,0.8764375,0.0005534589,0.0001902129],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.42439,0.00001089773,0.5626936,0.0007197438,0.0001883504,0.000400928,0.0002641013,0.000006612314,0.01132574],"genre_scores_gemma":[0.936936,0.000001201778,0.06186317,0.00001575371,0.0009219075,0.00000485508,0.00001098367,0.00001865682,0.0002274981],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5125459,"threshold_uncertainty_score":0.4235792,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2062816330","doi":"10.2991/jnmp.2000.7.1.2","title":"Links Between Different Analytic Descriptions of Constant Mean Curvature Surfaces","year":2000,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Montréal; Centre de Recherches Mathématiques","keywords":"Mathematics; Mean curvature; Constant (computer programming); Instanton; Curvature; Mathematical analysis; Sigma; Representation (politics); Bar (unit); Pure mathematics; Laplace transform; Mathematical physics; Constant curvature; Geometry; Physics; Quantum mechanics","authors":[{"name":"E. V. Ferapontov","is_ca":false},{"name":"A. M. Grundland","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0246621322735888,"gpt":0.2815066705351464,"spread":0.2568445382615576,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000199812,0.0002085291,0.0007179297,0.00004403717,0.00006882023,0.00004108408,0.0002531384,0.00009063646,0.001142365],"category_scores_gemma":[0.00001326006,0.0001464469,0.0004505819,0.0001854936,0.0001514692,0.0001442976,0.00003111563,0.0006688712,0.00003556343],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001985044,"about_ca_system_score_gemma":0.00008658757,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004459572,"about_ca_topic_score_gemma":3.826621e-7,"domain_scores_codex":[0.9983399,0.00006370901,0.0008406976,0.0001224819,0.0003911112,0.0002421059],"domain_scores_gemma":[0.998697,0.0002407626,0.0004086854,0.0002531382,0.0002130605,0.0001873895],"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":[0.0006244698,0.0266703,0.1000511,0.002026707,0.01257677,0.0001032506,0.01455554,0.008202071,0.02114703,0.5181755,0.006499937,0.2893673],"study_design_scores_gemma":[0.003983184,0.001115983,0.008272537,0.001617414,0.002647439,0.00003198888,0.002035503,0.04687658,0.01383538,0.9127131,0.005588684,0.001282247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9826996,0.00005815954,0.01011943,0.0002204019,0.00006719177,0.0001182406,0.000243567,0.00000909469,0.006464259],"genre_scores_gemma":[0.9866794,0.00001226809,0.01163897,0.00002103183,0.001245156,6.227581e-7,0.00002176063,0.00002527122,0.0003555595],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3945375,"threshold_uncertainty_score":0.9997707,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2114630524","doi":"10.2991/jnmp.2002.9.3.8","title":"Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space","year":2002,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Trois-Rivières; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Representation (politics); Weierstrass functions; Space (punctuation); Euclidean space; Euclidean geometry; Algebra over a field; Pure mathematics; Geometry; Computer science","authors":[{"name":"Paul Bracken","is_ca":true},{"name":"A. M. Grundland","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03818305551115826,"gpt":0.2726750055892196,"spread":0.2344919500780614,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003058893,0.0001284805,0.0003578645,0.00002989763,0.00006027477,0.00001842288,0.0002278934,0.00003662409,0.0002371766],"category_scores_gemma":[0.00005745507,0.00008575272,0.0003441415,0.0002967967,0.0001800765,0.0001336111,0.00008112612,0.0003428607,0.00002147895],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002272814,"about_ca_system_score_gemma":0.00003301052,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006027543,"about_ca_topic_score_gemma":3.17029e-7,"domain_scores_codex":[0.998565,0.0001098224,0.0006013764,0.0001245944,0.0003942636,0.0002049201],"domain_scores_gemma":[0.9987779,0.0002417506,0.0004248861,0.0003114199,0.0001655206,0.00007853217],"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":[0.0000195124,0.0007237892,0.0005239562,0.00002159674,0.00006841823,0.000001970969,0.0002012176,0.001551276,0.0008788333,0.9941761,0.0006145288,0.001218805],"study_design_scores_gemma":[0.0007295397,0.00004280732,0.0004070863,0.0001143512,0.00006555557,0.000005222011,0.00008895337,0.02657593,0.002735624,0.9690769,0.00006192435,0.00009608627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.931679,0.00005094658,0.04990279,0.002529625,0.0003210207,0.0002823063,0.00004267116,0.000008677468,0.01518292],"genre_scores_gemma":[0.9926541,0.000001882483,0.006553465,0.00003666707,0.0006193597,0.000001282824,0.000001559326,0.00001686195,0.0001148055],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06097508,"threshold_uncertainty_score":0.3496894,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1571606388","doi":"10.2991/jnmp.2004.11.1.5","title":"On Conditionally Invariant Solutions of Magnetohydrodynamic Equations. Multiple Waves.","year":2004,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Homogeneous space; Nonlinear system; Invariant (physics); Simple (philosophy); Symmetry (geometry); Abelian group; Mathematical analysis; Partial differential equation; Magnetohydrodynamic drive; Pure mathematics; Applied mathematics; Mathematical physics; Magnetohydrodynamics; Physics; Geometry; Quantum mechanics; Magnetic field","authors":[{"name":"A. M. Grundland","is_ca":true},{"name":"Philippe Picard","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02133441428449979,"gpt":0.2648416102859426,"spread":0.2435071960014428,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002305838,0.0001536266,0.0003747114,0.00006882475,0.00009136197,0.00002440267,0.0001913839,0.00004189597,0.0002742934],"category_scores_gemma":[0.000109018,0.000124135,0.00031853,0.000167287,0.0001233339,0.0001568908,0.0000422035,0.000294533,0.000076927],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000043666,"about_ca_system_score_gemma":0.0002485262,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008107569,"about_ca_topic_score_gemma":8.087667e-7,"domain_scores_codex":[0.998576,0.00003449247,0.0006829289,0.0001063777,0.0003886781,0.0002114708],"domain_scores_gemma":[0.9984847,0.0004583407,0.0004626587,0.0002093516,0.000261995,0.0001229035],"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":[0.00002521378,0.002056064,0.00002842011,0.00003853458,0.0001447371,0.00000538629,0.0001878582,0.01450539,0.00255946,0.9797742,0.0001128067,0.0005619345],"study_design_scores_gemma":[0.001469748,0.0002825954,0.0001242931,0.0001921805,0.00009674068,0.000008181734,0.0001185786,0.04753462,0.001507235,0.9484341,0.00007489941,0.0001568858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2884983,0.00001950625,0.7042018,0.0009577694,0.000176447,0.0002271918,0.0004011803,0.00001281059,0.005504928],"genre_scores_gemma":[0.9640684,0.000001401437,0.03504215,0.00006902149,0.0006626243,0.000002057929,0.00004798336,0.0000223,0.00008402479],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6755701,"threshold_uncertainty_score":0.5062079,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2530073120","doi":"10.1080/14029251.2016.1248156","title":"Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons","year":2016,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Chinese Academy of Sciences; University of Saskatchewan","keywords":"Camassa–Holm equation; Mathematics; Lax pair; Applied mathematics; Integrable system; Pure mathematics; Mathematical analysis","authors":[{"name":"Xiang‐Ke Chang","is_ca":true},{"name":"Jacek Szmigielski","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02318410297171763,"gpt":0.2688365288797896,"spread":0.245652425908072,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005451813,0.0001056798,0.0003908672,0.00001279445,0.00004877814,0.00001179425,0.000232435,0.00003010245,0.00005250205],"category_scores_gemma":[0.0001691916,0.00004110645,0.000301145,0.0001018951,0.0005852708,0.00009273149,0.00007849883,0.0001866148,0.000002061873],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001179184,"about_ca_system_score_gemma":0.00008817279,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001120472,"about_ca_topic_score_gemma":3.570108e-7,"domain_scores_codex":[0.998789,0.0001398867,0.0006013316,0.00007322663,0.0002847521,0.0001117903],"domain_scores_gemma":[0.9979068,0.000889898,0.0006118389,0.0002741947,0.0002678177,0.00004941938],"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":[0.0001107736,0.0005932511,0.000749365,0.00005631381,0.0001925176,2.322201e-7,0.001402663,0.00007573934,0.00304019,0.9817144,0.00009749238,0.01196711],"study_design_scores_gemma":[0.003203889,0.0001431314,0.001057693,0.0003834763,0.0002484691,0.000004705691,0.000775734,0.01595623,0.01862659,0.9592366,0.0002208161,0.0001426704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8672615,0.00005045678,0.1265108,0.002398489,0.0001401669,0.0002945587,0.0001713119,0.000003784683,0.003168986],"genre_scores_gemma":[0.9968576,0.000003030351,0.002625762,0.00001637386,0.0003751972,0.000001126813,8.641182e-7,0.000009563782,0.0001105018],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1295961,"threshold_uncertainty_score":0.2156455,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2134087214","doi":"10.2991/jnmp.2008.15.s1.1","title":"Nonlocal Extensions of Similarity Methods","year":2008,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Similarity (geometry); Algebra over a field; Pure mathematics; Artificial intelligence; Computer science","authors":[{"name":"George W. Bluman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04981559710569465,"gpt":0.3598971742971858,"spread":0.3100815771914912,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004133313,0.0001666173,0.0006342832,0.00004448607,0.00009032344,0.000009988697,0.0002335637,0.00005323241,0.0002061585],"category_scores_gemma":[0.00008194477,0.0001247705,0.0004891444,0.0001930612,0.0002096215,0.000141063,0.00007635402,0.0004219719,0.00002172248],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001250211,"about_ca_system_score_gemma":0.0001692863,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000384097,"about_ca_topic_score_gemma":6.91275e-8,"domain_scores_codex":[0.9984367,0.0001060993,0.0007879069,0.0001095811,0.0003423628,0.0002172848],"domain_scores_gemma":[0.9982353,0.0004339018,0.0004787694,0.0002740379,0.0003983224,0.0001796093],"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":[0.0005137136,0.02963108,0.0121183,0.0008925194,0.003213708,0.0003227267,0.006579241,0.003517156,0.06595761,0.6995873,0.01051283,0.1671538],"study_design_scores_gemma":[0.003050738,0.0008737185,0.001908513,0.0004698291,0.0006247982,0.0003304605,0.001093136,0.1633622,0.0659333,0.7527678,0.0086964,0.0008890936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2148274,0.000047809,0.778375,0.000203336,0.0001821958,0.0001091464,0.00005484805,0.000009749516,0.006190451],"genre_scores_gemma":[0.3606464,0.00000950394,0.637591,0.00005367671,0.001501612,7.923818e-7,0.000005553197,0.0000291795,0.0001622616],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1662647,"threshold_uncertainty_score":0.5087993,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2137620982","doi":"10.2991/jnmp.2002.9.2.6","title":"On Complete Integrability of the Generalized Weierstrass System","year":2002,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Weierstrass functions; Invertible matrix; Context (archaeology); Type (biology); Algebra over a field; Transformation (genetics); String (physics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03291328757921116,"gpt":0.2602781679681739,"spread":0.2273648803889627,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002495112,0.0001540152,0.0004767374,0.00002130566,0.00007115987,0.00002287473,0.0003357399,0.00003539345,0.0003031309],"category_scores_gemma":[0.00003660403,0.0000876214,0.0005238933,0.0001504478,0.000134917,0.00006363822,0.00004880037,0.0003706513,0.00004626479],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003571436,"about_ca_system_score_gemma":0.00003019418,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003338786,"about_ca_topic_score_gemma":7.242006e-8,"domain_scores_codex":[0.9985582,0.0001068383,0.0006697245,0.00009759045,0.0003927309,0.0001749617],"domain_scores_gemma":[0.9985867,0.0002635222,0.0005171376,0.0003515972,0.00018636,0.00009474435],"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":[0.00005625894,0.002765224,0.0008389169,0.0003417734,0.0004057164,0.000004655657,0.0007195742,0.0004875006,0.002255683,0.9851769,0.002152102,0.00479573],"study_design_scores_gemma":[0.004348912,0.0008190233,0.0007905615,0.001780395,0.0006070152,0.00005401757,0.001638382,0.38845,0.01237293,0.5845578,0.003820157,0.0007608855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9535247,0.0000266131,0.02271592,0.0005378326,0.0004216306,0.0002757655,0.0001888954,0.00001340983,0.02229523],"genre_scores_gemma":[0.9897317,8.328691e-7,0.009209636,0.00003419038,0.0008063623,9.856838e-7,0.00000164903,0.00001829384,0.0001963853],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4006191,"threshold_uncertainty_score":0.3573097,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963370424","doi":"10.1080/14029251.2016.1248157","title":"Generalized negative flows in hierarchies of integrable evolution equations","year":2016,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"Natural Science Foundation of Anhui Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Integrable system; Mathematics; Conservation law; Generalization; Hierarchy; Dispersionless equation; Mathematical physics; Nonlinear system; Flow (mathematics); Korteweg–de Vries equation; Pure mathematics; Symmetry (geometry); Evolution equation; Hamiltonian (control theory); Mathematical analysis; Burgers' equation; Kadomtsev–Petviashvili equation; Partial differential equation; Physics; Law; Quantum mechanics; Mathematical optimization; Geometry","authors":[{"name":"Stephen C. Anco","is_ca":true},{"name":"Shahid Mohammad","is_ca":true},{"name":"Thomas Wolf","is_ca":true},{"name":"Chunrong Zhu","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02049119921650143,"gpt":0.2836825807002185,"spread":0.2631913814837171,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002657787,0.0001207831,0.0003949654,0.00008340889,0.00003106269,0.00001290443,0.0001571458,0.00003183719,0.0001938167],"category_scores_gemma":[0.0001166525,0.00007340281,0.0002222437,0.0002077018,0.00009331169,0.0002268382,0.00003683408,0.000176294,0.00001885889],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005603285,"about_ca_system_score_gemma":0.0001671181,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001640031,"about_ca_topic_score_gemma":0.000002104694,"domain_scores_codex":[0.9988369,0.00007697536,0.000586461,0.00008480964,0.0002399875,0.0001748138],"domain_scores_gemma":[0.9987004,0.0005064842,0.0003681018,0.0001525127,0.0001971606,0.00007538373],"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":[0.00009348555,0.001237879,0.00144181,0.0000630834,0.0001914396,0.000003479091,0.0009199698,0.0007074639,0.02040496,0.9607457,0.0001846167,0.01400613],"study_design_scores_gemma":[0.001343198,0.0001311025,0.0002000223,0.0003745849,0.00004678197,0.000001986226,0.0003369529,0.02449291,0.007358963,0.9654361,0.0001436855,0.0001337268],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5139433,0.00002131839,0.4828795,0.0003659509,0.00009070634,0.000119365,0.0000718526,0.000004928697,0.002503086],"genre_scores_gemma":[0.9283702,0.000003848519,0.0706467,0.000009013698,0.0006688689,0.000002431071,0.000002880179,0.00001641951,0.0002796092],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4144269,"threshold_uncertainty_score":0.2993279,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2101111830","doi":"10.2991/jnmp.2003.10.4.4","title":"On Vortex Solutions and Links between the Weierstrass System and the Complex Sine-Gordon Equations","year":2003,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; sine-Gordon equation; Sine; Transformation (genetics); Singularity; Vortex; Connection (principal bundle); Mathematical analysis; Algebra over a field; Pure mathematics; Soliton; Nonlinear system; Geometry","authors":[{"name":"Paul Bracken","is_ca":false},{"name":"P. P. Goldstein","is_ca":false},{"name":"A. M. Grundland","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03748774892124516,"gpt":0.2797401872274436,"spread":0.2422524383061984,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007250127,0.0001528942,0.0003669448,0.00002236729,0.0003885153,0.0001074164,0.0001445851,0.00005029129,0.00002430501],"category_scores_gemma":[0.00008695106,0.00007803208,0.0001695039,0.0001155869,0.0003189957,0.00008020939,0.00004026212,0.0005722977,0.00001279293],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001692607,"about_ca_system_score_gemma":0.00006034343,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003806942,"about_ca_topic_score_gemma":2.28868e-7,"domain_scores_codex":[0.9987788,0.0001840042,0.0004708488,0.0001013447,0.000259262,0.0002057281],"domain_scores_gemma":[0.9976557,0.00161005,0.0002926539,0.0002126397,0.0001183707,0.0001105084],"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":[0.00001032555,0.0001280415,0.0001452166,0.00002947748,0.0001479956,8.215353e-7,0.000269525,0.00007535332,0.00002470097,0.9978119,0.000122158,0.001234507],"study_design_scores_gemma":[0.002699351,0.0001980793,0.001136285,0.0002451364,0.0006532712,0.000033888,0.002825702,0.08515781,0.0000955217,0.9044567,0.002210315,0.0002879255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.380592,0.0001951074,0.5897436,0.006990983,0.0002678694,0.0008436178,0.0002303608,0.00002953536,0.02110686],"genre_scores_gemma":[0.9939835,0.000004116673,0.004967882,0.00007282,0.0008843132,0.000002735355,0.000005277367,0.00001700707,0.00006233512],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6133915,"threshold_uncertainty_score":0.3182056,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2103310264","doi":"10.2991/jnmp.2005.12.4.12","title":"Erratum on \"Some Symmetry Classifications of Hyperbolic Vector Evolution Equations\": J Nonlinear Math. Phys. 12 suppl. 1 (2005), 1331.","year":2005,"lang":"en","type":"erratum","venue":"Journal of Nonlinear Mathematical Physics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"","keywords":"Symmetry (geometry); Mathematics; Nonlinear system; Pure mathematics; Mathematical physics; Mathematical analysis; Physics; Geometry; Quantum mechanics","authors":[{"name":"Stephen C. Anco","is_ca":true},{"name":"Thomas Wolf","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04220813540423967,"gpt":0.3160601059480997,"spread":0.27385197054386,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0009872144,0.0009916394,0.002544118,0.0007166954,0.0002211451,0.00009380189,0.001142325,0.0009935794,0.0001783697],"category_scores_gemma":[0.002844161,0.0008301659,0.001318501,0.0008561143,0.000381612,0.0006700403,0.0001838208,0.003347234,0.0003556754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006299462,"about_ca_system_score_gemma":0.001056865,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.718303e-7,"about_ca_topic_score_gemma":0.000002634171,"domain_scores_codex":[0.9931887,0.0002282067,0.003130524,0.0005847315,0.001982482,0.0008852961],"domain_scores_gemma":[0.9908758,0.002188124,0.003927845,0.00143399,0.001107423,0.0004667701],"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":[0.0001329703,0.006921811,0.000004355247,0.002439292,0.0007909248,0.00002397239,0.0002931762,0.0001519594,0.0008738463,0.7704895,0.2150354,0.002842751],"study_design_scores_gemma":[0.001346185,0.0006866008,0.00005553245,0.002761173,0.001225597,0.00008392231,0.0003265219,0.02197654,0.0004619461,0.9466569,0.02338758,0.001031427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.04598454,0.01160027,0.7601212,0.01500621,0.06300241,0.008489344,0.008151236,0.001320953,0.08632383],"genre_scores_gemma":[0.0623454,0.002520453,0.7149557,0.001294777,0.09725094,0.0001739169,0.00198015,0.002315319,0.1171633],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1916478,"threshold_uncertainty_score":0.9994149,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402817544","doi":"10.1007/s44198-024-00229-6","title":"Hierarchical Neural Networks, p-Adic PDEs, and Applications to Image Processing","year":2024,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"advanced mathematical theories","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Artificial neural network; Image (mathematics); Mathematics; Image processing; Artificial intelligence; Computer science","authors":[{"name":"W. A. Zúñiga‐Galindo","is_ca":false},{"name":"B. A. Zambrano-Luna","is_ca":true},{"name":"Baboucarr Dibba","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03327238372142977,"gpt":0.3563748043884767,"spread":0.3231024206670469,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006843385,0.0002876243,0.0006608939,0.0001065005,0.0001158143,0.0002455145,0.0002991032,0.00009501408,0.000039808],"category_scores_gemma":[0.0008000329,0.0002099499,0.0001991709,0.0005078013,0.0002696945,0.000449367,0.0001562429,0.0006973211,0.00004003111],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005907673,"about_ca_system_score_gemma":0.00007337262,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.541366e-8,"about_ca_topic_score_gemma":1.098404e-7,"domain_scores_codex":[0.9978749,0.00006439744,0.0009301194,0.0002523665,0.0005101956,0.0003679775],"domain_scores_gemma":[0.9971336,0.001759354,0.0002189261,0.0002911491,0.0002335651,0.0003634416],"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":[0.00004163654,0.0004364863,0.000001675445,0.001893121,0.00008278331,0.00006609595,0.0006654342,0.0001669374,0.0006082007,0.9260046,0.0006145934,0.06941843],"study_design_scores_gemma":[0.000160657,0.000119606,0.000001717948,0.0005471986,0.0001386872,0.0003048352,0.00009818468,0.1148277,0.0001941874,0.8818533,0.001552487,0.0002014703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00581962,0.0005566928,0.9910836,0.0008449517,0.00008021715,0.0004054798,0.00001084017,0.0001192811,0.001079304],"genre_scores_gemma":[0.08593762,0.00003942995,0.9109554,0.0002062649,0.00248668,0.00004027603,0.000002321396,0.0001352068,0.0001967745],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1146607,"threshold_uncertainty_score":0.8561506,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2043840050","doi":"10.2991/jnmp.2004.11.s1.4","title":"On Pauli graded contractions of sl(3, C)","year":2004,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Advanced Fiber Optic Sensors","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Linear subspace; Grading (engineering); Pauli exclusion principle; Pure mathematics; Nonlinear system; Contraction (grammar); Algebra over a field; Combinatorics; Physics; Quantum mechanics","authors":[{"name":"M. Havlı́ček","is_ca":false},{"name":"J. Patera","is_ca":false},{"name":"Edita Pelantová","is_ca":false},{"name":"J. Tolar","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0175580483554381,"gpt":0.2582052332463944,"spread":0.2406471848909563,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008055216,0.000118812,0.0003363975,0.00004519568,0.00001745817,0.000007352814,0.0001098255,0.0000533487,0.00002219375],"category_scores_gemma":[0.0001559247,0.00009684923,0.0001561259,0.0001318223,0.000051517,0.0001220446,0.000007342603,0.0003306898,0.00005027554],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000616073,"about_ca_system_score_gemma":0.00002354899,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.723317e-7,"about_ca_topic_score_gemma":9.73989e-8,"domain_scores_codex":[0.9990466,0.000007914825,0.0004798038,0.00005101871,0.0002773645,0.0001373493],"domain_scores_gemma":[0.9992204,0.0002656892,0.0001613582,0.0001543756,0.0001108623,0.00008727398],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007299571,0.001607446,0.000004435169,0.000376507,0.0003980216,0.00009225537,0.0009095312,0.7909463,0.04071461,0.1611008,0.0003133129,0.003463793],"study_design_scores_gemma":[0.002039435,0.0004129257,0.00006854838,0.0004925825,0.0001383108,0.0001940689,0.0002006385,0.02104257,0.07709071,0.8977632,0.0002821534,0.0002748787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6976637,0.00005537472,0.2987088,0.0001881872,0.0003099327,0.000124454,0.00001183882,0.00006026664,0.002877533],"genre_scores_gemma":[0.8905637,0.00002366573,0.1089981,0.00003533598,0.0003173457,8.01276e-7,8.945019e-7,0.00004037466,0.00001977783],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7699037,"threshold_uncertainty_score":0.3949397,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2024744658","doi":"10.2991/jnmp.2003.10.1.9","title":"On CP 1 and CP 2 Maps and Weierstrass Representations for Surfaces Immersed into Multi-Dimensional Euclidean Spaces","year":2003,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Uniwersytet Warszawski; Durham University","keywords":"Mathematics; Euclidean geometry; Pure mathematics; Mathematical analysis; Algebra over a field; Geometry","authors":[{"name":"A. M. Grundland","is_ca":true},{"name":"W. J. Zakrzewski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02425886991848856,"gpt":0.3149049257373823,"spread":0.2906460558188937,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002846351,0.000169144,0.0003506845,0.00003919392,0.0001503399,0.00007947446,0.0000716984,0.00004033906,0.00004092998],"category_scores_gemma":[0.0000916511,0.0001302788,0.0001492282,0.00007396195,0.0001240891,0.0001458071,0.00002501642,0.0002120019,0.000006182651],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001235301,"about_ca_system_score_gemma":0.00006686281,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005488885,"about_ca_topic_score_gemma":6.768091e-7,"domain_scores_codex":[0.9989873,0.00005474658,0.0004011668,0.0001609514,0.0002048758,0.0001910051],"domain_scores_gemma":[0.9986568,0.0006395305,0.0002553594,0.0001308525,0.0001419481,0.000175471],"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":[0.0002602376,0.004145415,0.004456616,0.000445642,0.001055445,0.00001968846,0.004026017,0.002084303,0.01496634,0.9591064,0.002919381,0.006514546],"study_design_scores_gemma":[0.004131833,0.0005693801,0.0006160407,0.000273248,0.0002948259,0.00002987227,0.003037216,0.03452352,0.007949257,0.9454592,0.002607959,0.0005076526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9674076,0.00006916558,0.03069073,0.0005381303,0.0001303644,0.0002566453,0.0001045513,0.000007139959,0.0007956039],"genre_scores_gemma":[0.752946,0.000007442891,0.2461254,0.00007416617,0.0004589065,0.000003774085,0.00001907913,0.00003529,0.0003300181],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2154346,"threshold_uncertainty_score":0.5312616,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2131378272","doi":"10.2991/jnmp.2005.12.2.4","title":"Subgroup Type Coordinates and the Separationof Variables in Hamilton-Jacobi and Schrödinger Equations","year":2005,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"Marsden Fund; Natural Sciences and Engineering Research Council of Canada; Centre de Recherches Mathématiques","keywords":"Mathematics; Separable space; Coordinate system; Type (biology); Pure mathematics; Abelian group; Mathematical analysis; Algebra over a field; Geometry","authors":[{"name":"E. G. Kalnins","is_ca":false},{"name":"Zora Thomova","is_ca":false},{"name":"P. Winternitz","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0549237771532816,"gpt":0.3569234251819098,"spread":0.3019996480286282,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001216595,0.0001523499,0.0004848588,0.00007325839,0.00009985018,0.00008434346,0.0001427881,0.00006895557,0.00004192665],"category_scores_gemma":[0.002604606,0.00009534326,0.00008603117,0.0002952579,0.0002416707,0.0002874684,0.00005572134,0.0003373731,0.00001045152],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003745221,"about_ca_system_score_gemma":0.00004665661,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002475576,"about_ca_topic_score_gemma":0.000003884491,"domain_scores_codex":[0.998501,0.0002086399,0.0007170292,0.0001146192,0.000288012,0.0001706828],"domain_scores_gemma":[0.9948426,0.00431172,0.0003675424,0.0001707708,0.0002184049,0.00008891158],"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":[0.0001196241,0.0006833372,0.00009234799,0.0001526441,0.0001283434,0.000002454034,0.002249348,0.000149361,0.001209856,0.9806855,0.0001108429,0.01441629],"study_design_scores_gemma":[0.001214038,0.00006994182,0.00007101669,0.0001159912,0.0001386958,0.00002320524,0.0001349272,0.08176341,0.0003066273,0.9157524,0.000300587,0.0001091969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2657198,0.0003297383,0.7300216,0.002668009,0.0001105857,0.0003868121,0.000006999735,0.00002231657,0.0007341657],"genre_scores_gemma":[0.3608576,0.0001033041,0.6382979,0.0001191168,0.0004353669,0.000007246323,0.000001659519,0.00002988269,0.0001479332],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.09513783,"threshold_uncertainty_score":0.3887985,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402818072","doi":"10.1007/s44198-024-00225-w","title":"Cosymplectic Geometry, Reductions, and Energy-Momentum Methods with Applications","year":2024,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"Université de Montréal; Narodowym Centrum Nauki; Simons Foundation","keywords":"Mathematics; Geometry; Momentum (technical analysis); Energy (signal processing); Classical mechanics; Theoretical physics; Calculus (dental); Physics; Statistics","authors":[{"name":"A. Maskalaniec","is_ca":false},{"name":"B. M. Zawora","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01325730993827932,"gpt":0.3131480675967782,"spread":0.2998907576584989,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002652175,0.0001314063,0.0002994637,0.00006290061,0.00006982346,0.0001183284,0.00009310489,0.00002735022,0.00007267337],"category_scores_gemma":[0.000006506936,0.00008557202,0.0001145718,0.0003346393,0.00007619973,0.0001495718,0.00002799935,0.0002148135,0.00001245054],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002428035,"about_ca_system_score_gemma":0.00006561384,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005714445,"about_ca_topic_score_gemma":1.142651e-7,"domain_scores_codex":[0.9990834,0.00004896378,0.0003838046,0.0001321524,0.0002033484,0.0001483445],"domain_scores_gemma":[0.9992118,0.0002729732,0.0001437628,0.0001331809,0.0001049917,0.0001333186],"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":[0.00001064957,0.0003598006,0.00005904366,0.0001855776,0.0003165991,0.000003788327,0.0001085367,0.00005940791,0.001103704,0.9164261,0.0003296076,0.08103724],"study_design_scores_gemma":[0.0003418689,0.0002605107,0.00002120397,0.0003405949,0.000303661,0.0001383258,0.000358598,0.09653397,0.0008193469,0.8654237,0.03520453,0.0002536271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.009376138,0.0003470106,0.9875942,0.0002996795,0.00009857272,0.00007108911,0.00001577411,0.00001868294,0.002178808],"genre_scores_gemma":[0.780602,0.00003032208,0.2150147,0.00003314057,0.003274374,0.00003798958,0.00001297834,0.0000636304,0.0009308371],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7725796,"threshold_uncertainty_score":0.3489526,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2885232762","doi":"10.1080/14029251.2018.1503398","title":"Composition of Lie Group Elements from Basis Lie Algebra Elements","year":2018,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Simple Lie group; Graded Lie algebra; Algebra over a field; Lie group; Representation of a Lie group; Lie superalgebra; Basis (linear algebra); Pure mathematics; Adjoint representation; Lie conformal algebra; Lie algebra; Group (periodic table); Affine Lie algebra; Adjoint representation of a Lie algebra; Lie theory; Current algebra; Geometry; Physics","authors":[{"name":"George W. Bluman","is_ca":true},{"name":"Omar Mrani-Zentar","is_ca":true},{"name":"Deshin Finlay","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03488455930334849,"gpt":0.3266859266590365,"spread":0.291801367355688,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005047569,0.000259392,0.0007623741,0.000105554,0.00008494675,0.00003050223,0.0003870481,0.0001042415,0.0005171623],"category_scores_gemma":[0.0003525103,0.0002083368,0.0003191571,0.0003224632,0.0001715639,0.0003414979,0.0001250814,0.0003212079,0.0001128082],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006417901,"about_ca_system_score_gemma":0.000043396,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.542084e-7,"about_ca_topic_score_gemma":6.398601e-7,"domain_scores_codex":[0.9970179,0.00007928873,0.001550347,0.0001838198,0.0008608706,0.0003077519],"domain_scores_gemma":[0.9968607,0.0006824149,0.001405108,0.0003852472,0.0004934637,0.000173022],"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":[0.001269268,0.02358243,0.003695427,0.002370258,0.00399664,0.0001302781,0.003935119,0.00001442766,0.1355207,0.7203475,0.01000971,0.09512822],"study_design_scores_gemma":[0.001259817,0.0005948204,0.0001714553,0.0004754014,0.0002735731,0.00001362967,0.0001550197,0.00146689,0.03092004,0.9641932,0.0002649414,0.0002112494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8012798,0.00003903225,0.1973126,0.0001036296,0.0002027936,0.0001765278,0.00007249357,0.00002220421,0.0007908727],"genre_scores_gemma":[0.5214452,0.00002103893,0.4766286,0.0001503873,0.001639921,0.000002430291,0.000019694,0.00005317891,0.00003958194],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2798347,"threshold_uncertainty_score":0.8495728,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2105305045","doi":"10.1142/s1402925112400025","title":"The Two-Component Camassa–Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws","year":2012,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"Luleå Tekniska Universitet; Wenner-Gren Foundation","keywords":"Conservation law; Mathematics; Class (philosophy); Component (thermodynamics); Order (exchange); Set (abstract data type); Law; Applied mathematics; Pure mathematics; Mathematical analysis; Computer science; Physics","authors":[{"name":"Marianna Euler","is_ca":false},{"name":"Norbert Euler","is_ca":true},{"name":"Thomas Wolf","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02775111953332041,"gpt":0.292357675215931,"spread":0.2646065556826105,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004539838,0.0001770236,0.0002980099,0.00002437855,0.0003485453,0.0001305575,0.0001072204,0.00003358329,0.00002900549],"category_scores_gemma":[0.0001302623,0.0001044738,0.0001112837,0.0001115178,0.0001426413,0.0003095168,0.00006778893,0.0003387051,0.000007759141],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001904068,"about_ca_system_score_gemma":0.00004631707,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002694565,"about_ca_topic_score_gemma":0.00000436308,"domain_scores_codex":[0.9988534,0.00006071243,0.0004964598,0.00008815726,0.0002428459,0.0002584505],"domain_scores_gemma":[0.9980118,0.001123874,0.0003539246,0.0001461507,0.0001883535,0.0001759492],"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":[0.0000461873,0.001537006,0.07509528,0.0001503335,0.0005730041,0.000002055276,0.007032196,0.0001086781,0.001928007,0.8986525,0.0007155158,0.01415927],"study_design_scores_gemma":[0.005009281,0.000523404,0.0218695,0.0009140868,0.001038812,0.00006873981,0.01751581,0.4032395,0.003450874,0.5087284,0.03606419,0.001577297],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9181296,0.000165497,0.07839993,0.001721832,0.0001907909,0.0001848179,0.00003268568,0.000009953848,0.001164851],"genre_scores_gemma":[0.9783084,0.00001449966,0.02011874,0.00005953947,0.001370194,0.000002921789,0.00001202759,0.00002350702,0.00009014284],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4031309,"threshold_uncertainty_score":0.4260316,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4391373124","doi":"10.1007/bf03654918","title":"Symmetries and Integrability of Difference Equations (SIDE VI)","year":2005,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true},"ca_institutions":"","funders":"","keywords":"Homogeneous space; Mathematics; Mathematical physics; Algebra over a field; Pure mathematics; Mathematical analysis; Geometry","authors":[{"name":"J. F. van Diejen","is_ca":false},{"name":"Rod Halburd","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08671343205902499,"gpt":0.3753565999499668,"spread":0.2886431678909418,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0006595843,0.0001803374,0.0007096036,0.00009396631,0.00005812298,0.00002999481,0.0002333425,0.00007822657,0.00007117923],"category_scores_gemma":[0.01020039,0.0001294226,0.0002382739,0.0003104986,0.0002764968,0.0001988475,0.00008611936,0.0003699079,0.00001045018],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005097851,"about_ca_system_score_gemma":0.00007645977,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001691949,"about_ca_topic_score_gemma":0.000001604933,"domain_scores_codex":[0.9978792,0.0001638335,0.00113027,0.0001268647,0.000517378,0.0001824504],"domain_scores_gemma":[0.9934964,0.004706534,0.0007497145,0.0002902494,0.0006030243,0.0001540949],"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":[0.00006699911,0.003032483,0.0001414767,0.0006768606,0.0002433555,0.000002187957,0.001646913,0.00002097382,0.01127838,0.7539558,0.00007415985,0.2288603],"study_design_scores_gemma":[0.0003565513,0.0001862631,0.0002433441,0.0001789962,0.0001942316,0.00001349195,0.0001350724,0.009913074,0.00719252,0.981399,0.00006346026,0.0001240121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2020854,0.00005239702,0.7965377,0.0006405772,0.0000542786,0.000140291,0.00001633551,0.00001608831,0.0004569209],"genre_scores_gemma":[0.3582443,0.00001275933,0.6413804,0.00003255378,0.0002303499,0.00000222782,8.494576e-7,0.00001890722,0.00007771145],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2287363,"threshold_uncertainty_score":0.9981371,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2112542318","doi":"10.2991/jnmp.2008.15.s3.26","title":"Continuous and Discontinuous Piecewise Linear Solutions of the Linearly Forced Inviscid Burgers Equation","year":2008,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Knut och Alice Wallenbergs Stiftelse","keywords":"Inviscid flow; Burgers' equation; Forcing (mathematics); Piecewise linear function; Piecewise; Soliton; Shock wave; Nonlinear system","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03499672955187745,"gpt":0.2567204740742988,"spread":0.2217237445224213,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002985119,0.000184157,0.0005190656,0.00004160347,0.0001986922,0.00002409045,0.0002315659,0.00005324911,0.00003964657],"category_scores_gemma":[0.00009867569,0.0001196983,0.0003739386,0.0002073603,0.0003271894,0.0002153183,0.0001089638,0.0003653879,0.000007864305],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001563578,"about_ca_system_score_gemma":0.0001318233,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001260238,"about_ca_topic_score_gemma":3.7547e-7,"domain_scores_codex":[0.9983866,0.00007138764,0.0007705765,0.0001249469,0.0003872358,0.0002592301],"domain_scores_gemma":[0.9983683,0.0002514255,0.000666578,0.0002716928,0.0003068995,0.0001351553],"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":[0.0009479281,0.01964062,0.06736709,0.001383756,0.004797877,0.0001286258,0.03096523,0.009332111,0.1064582,0.6612476,0.009962367,0.08776862],"study_design_scores_gemma":[0.01025207,0.001916366,0.01114907,0.001873502,0.00180011,0.0004375661,0.005034452,0.3956171,0.04391713,0.5195809,0.006310414,0.002111284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9020661,0.00007024547,0.09578818,0.0005080624,0.0001796997,0.0002254402,0.00006834578,0.000009105482,0.001084845],"genre_scores_gemma":[0.9794422,0.00001168291,0.01880826,0.00004315228,0.001249007,0.000002134282,0.000007302715,0.00002896612,0.0004072535],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.386285,"threshold_uncertainty_score":0.4881155,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2996172940","doi":"10.1080/14029251.2020.1819599","title":"Minimal surfaces associated with orthogonal polynomials","year":2020,"lang":"en","type":"preprint","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Orthogonal polynomials; Laguerre polynomials; Mathematics; Jacobi polynomials; Chebyshev polynomials; Legendre polynomials; Immersion (mathematics); Euclidean geometry; Mehler–Heine formula; Discrete orthogonal polynomials; Classical orthogonal polynomials; Gegenbauer polynomials; Representation (politics); Mathematical analysis; Pure mathematics; Wilson polynomials; Algebra over a field; Geometry","authors":[{"name":"Vincent Chalifour","is_ca":true},{"name":"A. M. Grundland","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03477612825623463,"gpt":0.2892937189325935,"spread":0.2545175906763589,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003726938,0.0004726176,0.001347226,0.00004803283,0.00008118479,0.0001692841,0.0005237141,0.0001706368,0.0003007319],"category_scores_gemma":[0.00009389857,0.0003425188,0.0006884032,0.000166025,0.0001601991,0.0001335586,0.000334669,0.001539727,0.00004923587],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004852593,"about_ca_system_score_gemma":0.0007075545,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003960112,"about_ca_topic_score_gemma":5.258613e-7,"domain_scores_codex":[0.9973623,0.0001262356,0.00110043,0.0002961105,0.0007380564,0.0003768695],"domain_scores_gemma":[0.9968884,0.0004464701,0.001553648,0.0003182698,0.0004520759,0.0003411645],"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":[0.006202884,0.07045492,0.06348937,0.008888651,0.07538579,0.002695923,0.02260598,0.0679531,0.01793504,0.5335103,0.05676072,0.07411727],"study_design_scores_gemma":[0.005067541,0.001771259,0.003619526,0.004348185,0.003194957,0.00004935413,0.001274884,0.08859631,0.004165129,0.8826219,0.002617582,0.002673378],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9648049,0.00007840573,0.02636129,0.001264868,0.0003824723,0.0003807492,0.001001929,0.00003779872,0.005687513],"genre_scores_gemma":[0.9464031,0.000005609892,0.04731972,0.0001095122,0.005696897,0.000004162183,0.0001379784,0.0001138436,0.0002091087],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3491115,"threshold_uncertainty_score":0.9999027,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}