{"meta":{"query_hash":"357aa8e8f81b","filters":{"venue":"Advanced Nonlinear Studies"},"cohort_total":26,"direct_labels_cover":0,"predictions_cover":26,"exported":26,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/357aa8e8f81b","api":"https://metacan.xera.ac/api/v1/cohort?venue=Advanced+Nonlinear+Studies"},"results":[{"id":"W101842548","doi":"10.1515/ans-2011-0109","title":"Elliptic-Parabolic Equation with Absorption of Obstacle type","year":2011,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"École de Technologie Supérieure","funders":"","keywords":"Mathematics; Degenerate energy levels; Uniqueness; Obstacle; Type (biology); Parabolic partial differential equation; Monotone polygon; Interval (graph theory); Obstacle problem; Mathematical analysis; Operator (biology); Nonlinear system; Function (biology); Graph; Pure mathematics; Discrete mathematics; Combinatorics; Partial differential equation; Geometry; Variational inequality; Physics","score_opus":0.2333595201613152,"score_gpt":0.37965523922813826,"score_spread":0.14629571906682307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W101842548","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98017216,0.00057117495,0.017304284,0.00003660118,0.00022138417,0.00037414875,0.000018061648,0.00011476751,0.0011874049],"genre_scores_gemma":[0.7401498,0.0002521418,0.2590435,0.000019041372,0.00010181652,0.000027277802,0.00001730028,0.00003834751,0.0003507498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9989257,0.000047142898,0.00037442375,0.0002097644,0.00023905482,0.00020391481],"domain_scores_gemma":[0.99864995,0.000226239,0.0002497852,0.00031262252,0.0005186928,0.00004272546],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001270466,0.00016999267,0.00033659505,0.00008229617,0.00008425584,0.0000047998064,0.00010991414,0.00004537065,0.000053656717],"category_scores_gemma":[0.0005662831,0.00013401112,0.000050739258,0.0003178363,0.00014116206,0.00017112808,0.00004962449,0.00009256091,0.00006368262],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0048307446,0.0075597195,0.015492629,0.0024333142,0.00460771,0.000049642527,0.064139366,0.0015773174,0.21747501,0.58161896,0.00056163385,0.09965396],"study_design_scores_gemma":[0.005576746,0.0037398594,0.016123984,0.00087816006,0.0012402064,0.000020822816,0.0072966763,0.008661499,0.696313,0.2561445,0.0022731768,0.0017313799],"about_ca_topic_score_codex":0.000013446423,"about_ca_topic_score_gemma":0.00011258016,"teacher_disagreement_score":0.478838,"about_ca_system_score_codex":0.00003087156,"about_ca_system_score_gemma":0.00003627876,"threshold_uncertainty_score":0.54648143},"labels":[],"label_agreement":null},{"id":"W1523487694","doi":"10.1515/ans-2012-0101","title":"Liouville Type Theorems for Stable Solutions of Certain Elliptic Systems","year":2012,"lang":"en","type":"preprint","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Infimum and supremum; Type (biology); Dimension (graph theory); Bounded function; Combinatorics; Lambda; Omega; Mathematics; Hamiltonian (control theory); Discrete mathematics; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.23286339242729048,"score_gpt":0.4220472712747082,"score_spread":0.18918387884741772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1523487694","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24485557,0.1887428,0.5064557,0.0010386085,0.026978215,0.017818015,0.008400791,0.0014290692,0.0042812265],"genre_scores_gemma":[0.60904354,0.0059724036,0.37053865,0.00003803418,0.0033619106,0.0017209532,0.00093668525,0.00043502805,0.007952775],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974365,0.00015029126,0.0009607894,0.0004575771,0.00035094793,0.00064384274],"domain_scores_gemma":[0.99539804,0.0016814091,0.0007315839,0.0008677052,0.0012198404,0.00010143281],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006317109,0.0004621054,0.0011927082,0.0001669485,0.00027181266,0.000028772589,0.0003515452,0.00025084335,0.000020980948],"category_scores_gemma":[0.0025736424,0.00040587178,0.0002980423,0.00023862447,0.00022874118,0.000104965526,0.00068613404,0.00036739706,0.00003060569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009390043,0.0044449396,0.0003112189,0.032564405,0.0099965315,0.0000054713364,0.010825624,0.03991518,0.012593108,0.8738849,0.0071343794,0.0073852134],"study_design_scores_gemma":[0.0049756146,0.001166823,0.00008881253,0.006007219,0.0060631046,0.000011792819,0.014074902,0.10856363,0.014226874,0.7775919,0.06307005,0.004159311],"about_ca_topic_score_codex":0.000038323156,"about_ca_topic_score_gemma":0.00010222373,"teacher_disagreement_score":0.364188,"about_ca_system_score_codex":0.00015146253,"about_ca_system_score_gemma":0.0001759383,"threshold_uncertainty_score":0.9998393},"labels":[],"label_agreement":null},{"id":"W1534949176","doi":"10.1515/ans-2011-0206","title":"Homogenization of Maximal Monotone Vector Fields via Selfdual Variational Calculus","year":2011,"lang":"en","type":"preprint","venue":"Advanced Nonlinear Studies","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Queen's University; Consejo Nacional de Ciencia y Tecnología","keywords":"Homogenization (climate); Monotone polygon; Mathematics; Regular polygon; Applied mathematics; Calculus of variations; Mathematical analysis; Pure mathematics; Geometry","score_opus":0.03646400504515374,"score_gpt":0.29476169610978903,"score_spread":0.2582976910646353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1534949176","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0036027378,0.0016975203,0.9927139,0.00011092118,0.0010530737,0.0003452756,0.000030411442,0.0002667693,0.00017935586],"genre_scores_gemma":[0.19492958,0.00030435153,0.8043796,0.00003522244,0.00015865792,0.00008535479,0.000022861372,0.000032520566,0.000051872506],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99804413,0.000026377615,0.0006422654,0.0006093685,0.0003708467,0.00030699096],"domain_scores_gemma":[0.9980687,0.00021398508,0.00034477675,0.00075827737,0.0005465898,0.000067697394],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00017000962,0.00036153998,0.00065091415,0.00013093645,0.00008290098,0.000018966397,0.0007260625,0.00019646437,0.0000053033277],"category_scores_gemma":[0.0003150424,0.0003501263,0.00014310628,0.0002391595,0.00007968696,0.00025537974,0.0015954803,0.000417939,0.000013415543],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002944181,0.00028261193,0.000029156328,0.000892752,0.00055475597,0.000014265312,0.003973253,0.9260545,0.0006910584,0.05377734,0.00002691918,0.013673987],"study_design_scores_gemma":[0.00035172846,0.00010493669,0.00011440771,0.00024576124,0.00005977004,0.0000062293066,0.000039765117,0.9165446,0.0041817245,0.07776262,0.00009194267,0.00049648096],"about_ca_topic_score_codex":0.000007715518,"about_ca_topic_score_gemma":0.0000040973932,"teacher_disagreement_score":0.19132684,"about_ca_system_score_codex":0.0000922587,"about_ca_system_score_gemma":0.000073514224,"threshold_uncertainty_score":0.9998951},"labels":[],"label_agreement":null},{"id":"W1598046916","doi":"10.1515/ans-2015-0302","title":"Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities","year":2015,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Gravitational singularity; Constant (computer programming); Sobolev space; Critical exponent; Fractional Laplacian; Exponent; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.15188301378901597,"score_gpt":0.41277408122223713,"score_spread":0.26089106743322116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1598046916","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45215148,0.028706549,0.4689635,0.03428528,0.005497107,0.0026221024,0.00092559564,0.0018454926,0.0050028907],"genre_scores_gemma":[0.23788865,0.0005408111,0.7582355,0.00042527003,0.0014480499,0.00013816835,0.00011792427,0.00009065527,0.0011149838],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852514,0.00008337148,0.00040349612,0.0002959611,0.00041128387,0.00028074367],"domain_scores_gemma":[0.9975016,0.0013761771,0.00009975131,0.00017123215,0.00072069204,0.0001305433],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032276713,0.00020912534,0.00033830456,0.00008988111,0.0002875067,0.000052476615,0.00008230176,0.00007314145,0.000022631342],"category_scores_gemma":[0.0077528427,0.00019586124,0.000050034127,0.0001619439,0.00026908919,0.00035602608,0.00013880049,0.00020070942,0.00002185694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001929328,0.0013148322,0.0025487917,0.00067822135,0.0007336258,0.000029304922,0.008830799,0.0015543309,0.0018374106,0.9751887,0.0026888608,0.00440221],"study_design_scores_gemma":[0.0021646584,0.000320473,0.00075992587,0.00027378672,0.00023056354,0.00004155352,0.005496597,0.035952907,0.00048392714,0.9358735,0.01769856,0.00070356735],"about_ca_topic_score_codex":0.000012631809,"about_ca_topic_score_gemma":0.00024999122,"teacher_disagreement_score":0.28927198,"about_ca_system_score_codex":0.00007657632,"about_ca_system_score_gemma":0.00010817714,"threshold_uncertainty_score":0.9281437},"labels":[],"label_agreement":null},{"id":"W1651845651","doi":"10.1515/ans-2014-0313","title":"Liouville Theorem for a Fourth Order Hénon Equation","year":2014,"lang":"en","type":"preprint","venue":"Advanced Nonlinear Studies","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Order (exchange); Bounded function; Alpha (finance); Dimension (graph theory); Exponent; Mathematics; Sobolev space; Mathematical physics; Physics; Combinatorics; Mathematical analysis; Statistics; Finance; Philosophy","score_opus":0.11965043505850227,"score_gpt":0.40650945883404205,"score_spread":0.2868590237755398,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1651845651","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0066071693,0.0013660224,0.9839118,0.00074800017,0.00097416213,0.0031950136,0.00015715038,0.0005458255,0.002494817],"genre_scores_gemma":[0.011386215,0.0006246948,0.9835806,0.00018332695,0.000853718,0.0016273774,0.00012777845,0.00025620832,0.0013601019],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99679,0.000099591205,0.0009999861,0.00097233854,0.0004877719,0.000650312],"domain_scores_gemma":[0.9925605,0.003979831,0.00091616745,0.0012007884,0.0012369412,0.00010575501],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00074667844,0.0007763384,0.0015442484,0.00013285513,0.00027655126,0.000046169407,0.00050334923,0.00029165955,0.000011777315],"category_scores_gemma":[0.0069243843,0.0006523138,0.00038274334,0.00021827045,0.00024174941,0.00016002213,0.0010832903,0.00063187914,0.000047075773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004701613,0.0012586048,0.00001062564,0.017044207,0.0026807152,0.000007224034,0.006959921,0.05179773,0.001120449,0.860854,0.0048204903,0.052975856],"study_design_scores_gemma":[0.0010285389,0.00017374159,6.2675446e-7,0.00082278944,0.00027498073,0.0000013160794,0.00046676633,0.030624539,0.0017043917,0.9605865,0.0036098864,0.0007059109],"about_ca_topic_score_codex":0.0000017014653,"about_ca_topic_score_gemma":0.000017130686,"teacher_disagreement_score":0.099732496,"about_ca_system_score_codex":0.0001877649,"about_ca_system_score_gemma":0.0000982154,"threshold_uncertainty_score":0.99959284},"labels":[],"label_agreement":null},{"id":"W2133532825","doi":"10.1515/ans-2009-0109","title":"On a Fourth Order Elliptic Problem with a Singular Nonlinearity","year":2009,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Division of Mathematical Sciences; University of British Columbia; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Pacific Institute for the Mathematical Sciences","keywords":"Biharmonic equation; Mathematics; Dirichlet boundary condition; Nonlinear system; Order (exchange); Ball (mathematics); Mathematical analysis; Pure mathematics; Space (punctuation); Dirichlet problem; Boundary value problem; Physics","score_opus":0.05686379812046233,"score_gpt":0.3664253226572164,"score_spread":0.30956152453675406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2133532825","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8940325,0.0008745268,0.084940135,0.0065850485,0.00044207837,0.0028961762,0.00018083627,0.001312899,0.008735816],"genre_scores_gemma":[0.13597107,0.00014187988,0.86158717,0.00046072123,0.00036633018,0.000059917893,0.00005411588,0.0000781543,0.001280657],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99766403,0.00008977841,0.0005752281,0.00058487477,0.00053498946,0.00055107113],"domain_scores_gemma":[0.9977102,0.000692037,0.00026310133,0.00063546764,0.00057311455,0.00012607171],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00024984812,0.00044668012,0.0006486249,0.00013810779,0.00033088782,0.000045487373,0.00022265998,0.000087753346,0.00001774772],"category_scores_gemma":[0.0015404464,0.0003305496,0.00011339627,0.00060402014,0.0001591955,0.00018107735,0.00006414811,0.00036451174,0.000097072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.01182274,0.026145888,0.0008215407,0.0017741908,0.0063575036,0.0009517323,0.02203573,0.044769213,0.02124389,0.63264394,0.0060537374,0.22537991],"study_design_scores_gemma":[0.020963626,0.015920563,0.0010972555,0.0028875272,0.0016112326,0.00010906424,0.002179545,0.058017988,0.023860805,0.8452517,0.02334432,0.004756384],"about_ca_topic_score_codex":0.000004684004,"about_ca_topic_score_gemma":0.00013368484,"teacher_disagreement_score":0.77664703,"about_ca_system_score_codex":0.00009242065,"about_ca_system_score_gemma":0.000090448026,"threshold_uncertainty_score":0.99991465},"labels":[],"label_agreement":null},{"id":"W2159975988","doi":"10.1515/ans-2013-0409","title":"Solutions with Polynomial Growth to an Autonomous Nonlinear Elliptic Problem","year":2013,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Polynomial; Integer (computer science); Nonlinear system; Function (biology); Pure mathematics; Combinatorics; Mathematical analysis; Discrete mathematics","score_opus":0.07261738567932785,"score_gpt":0.3481522717141099,"score_spread":0.27553488603478204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2159975988","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9668739,0.00034271745,0.022595158,0.003653784,0.00045840658,0.0032809558,0.00017278633,0.0009307185,0.0016915654],"genre_scores_gemma":[0.15874024,0.00007607517,0.8372532,0.00038191225,0.0008766015,0.0007527922,0.000072664356,0.00015898304,0.0016875067],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973156,0.00011062375,0.00065551215,0.0006597789,0.00041514062,0.00084335444],"domain_scores_gemma":[0.99755406,0.0003886571,0.00020601152,0.0006668732,0.000836516,0.00034789016],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002055452,0.0004763547,0.00065612316,0.00020627792,0.0005607053,0.0000949471,0.00036511343,0.0000965405,0.000096586315],"category_scores_gemma":[0.00060292386,0.0003824381,0.00011424019,0.0005454898,0.00022461385,0.0006160688,0.00025261028,0.0002907771,0.0007261889],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0038170705,0.036695827,0.010558802,0.005068924,0.014999238,0.00036072047,0.08464023,0.026050374,0.24918377,0.21907154,0.059643134,0.28991035],"study_design_scores_gemma":[0.041443273,0.03886444,0.015575183,0.0046763616,0.006779253,0.000512388,0.05422511,0.2410388,0.14009671,0.3292547,0.10132086,0.026212951],"about_ca_topic_score_codex":0.000113078546,"about_ca_topic_score_gemma":0.0007617477,"teacher_disagreement_score":0.81465805,"about_ca_system_score_codex":0.0001603308,"about_ca_system_score_gemma":0.00014054637,"threshold_uncertainty_score":0.99986273},"labels":[],"label_agreement":null},{"id":"W2507269680","doi":"10.1515/ans-2013-0107","title":"Quasilinear Elliptic Equations on Half- and Quarter-spaces","year":2013,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Bounded function; Quarter (Canadian coin); Space (punctuation); Zero (linguistics); Combinatorics; Mathematical analysis","score_opus":0.07996920447146003,"score_gpt":0.37500891760399174,"score_spread":0.29503971313253174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2507269680","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9763404,0.0016029293,0.0124935135,0.005783493,0.00053822057,0.0013772087,0.000046724104,0.0004330501,0.0013844393],"genre_scores_gemma":[0.86897296,0.0005477827,0.12719701,0.00029461965,0.00050494616,0.00034700896,0.000031896005,0.000084275816,0.002019528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983639,0.00009621532,0.00045640746,0.00040413262,0.00030537834,0.00037397046],"domain_scores_gemma":[0.9971802,0.0018052944,0.00016790674,0.00042565193,0.00029965822,0.00012125547],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00014974929,0.00030584747,0.00044921233,0.00012923041,0.00033705262,0.00007761825,0.00013749691,0.00007131621,0.000084945554],"category_scores_gemma":[0.0018719006,0.00025274957,0.00008777463,0.00022929299,0.00020736991,0.00028229522,0.00009640461,0.000205961,0.00056144857],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003370244,0.005484476,0.0025370407,0.0016611975,0.0033809654,0.000044890454,0.023436911,0.0016753492,0.036984894,0.7698249,0.014318582,0.14031374],"study_design_scores_gemma":[0.009128765,0.0046846513,0.004400937,0.0014689199,0.0011519963,0.000029120363,0.036007144,0.15875147,0.02612429,0.7268499,0.026943903,0.0044589103],"about_ca_topic_score_codex":0.000028118973,"about_ca_topic_score_gemma":0.00015685378,"teacher_disagreement_score":0.15707614,"about_ca_system_score_codex":0.000044641376,"about_ca_system_score_gemma":0.000024674786,"threshold_uncertainty_score":0.9999925},"labels":[],"label_agreement":null},{"id":"W2510027200","doi":"10.1515/ans-2003-0204","title":"Asymptotic Estimates of the First Eigenvalue of the p-Laplacian","year":2003,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Eigenfunction; Quotient; Eigenvalues and eigenvectors; Laplace operator; Invariant (physics); Degenerate energy levels; Sectional curvature; Mathematical analysis; Pure mathematics; Norm (philosophy); Lambda; Constant (computer programming); Curvature; Geometry; Mathematical physics; Scalar curvature","score_opus":0.04028447577104386,"score_gpt":0.321010568353987,"score_spread":0.2807260925829431,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2510027200","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98401266,0.009392263,0.0006098119,0.0007122542,0.0006806793,0.00055452343,0.000028697408,0.000033459768,0.0039756405],"genre_scores_gemma":[0.97637004,0.00025304346,0.022653643,0.00007727306,0.000028398965,0.000012353441,4.7584405e-7,0.000018476503,0.0005862778],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890184,0.00005243973,0.00039798915,0.00015771289,0.00031294196,0.00017708207],"domain_scores_gemma":[0.99818605,0.0006409938,0.00035288394,0.00055855664,0.00024438516,0.00001709959],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002785142,0.0001579212,0.0004426331,0.00004780167,0.00019786952,0.0000046274686,0.00029125848,0.000043168366,0.000016081114],"category_scores_gemma":[0.0038576403,0.000076899705,0.0002549307,0.0009217022,0.0002200356,0.000045884597,0.00012395653,0.000121382756,0.000003157223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001552779,0.0037812977,0.60541475,0.004841598,0.009761114,0.000009261555,0.020466639,0.018502718,0.0043030013,0.3041388,0.011364262,0.017261276],"study_design_scores_gemma":[0.005827489,0.00070984615,0.12613438,0.0028276658,0.0053364155,0.00004055538,0.02901009,0.004523992,0.2677643,0.4281993,0.12747473,0.002151242],"about_ca_topic_score_codex":0.0000034547202,"about_ca_topic_score_gemma":0.000104729836,"teacher_disagreement_score":0.47928035,"about_ca_system_score_codex":0.000022553862,"about_ca_system_score_gemma":0.000028937962,"threshold_uncertainty_score":0.46182346},"labels":[],"label_agreement":null},{"id":"W2511682085","doi":"10.1515/ans-2011-0102","title":"A Minimum Problem with Free Boundary for the p(x)−Laplace Operator","year":2011,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Lipschitz continuity; Lebesgue measure; Boundary (topology); Measure (data warehouse); Zero (linguistics); Operator (biology); Mathematical analysis; Lebesgue integration; Pure mathematics","score_opus":0.0440483595872874,"score_gpt":0.28539741758989506,"score_spread":0.24134905800260767,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2511682085","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0016622171,0.0031298865,0.9930685,0.0005620504,0.00023124581,0.00067319104,0.00000761102,0.0002944986,0.00037078466],"genre_scores_gemma":[0.011446766,0.00021661894,0.987355,0.00022180247,0.000079680336,0.0004214664,5.718927e-7,0.000033226752,0.00022485138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99876755,0.00001176217,0.000251672,0.00039087996,0.00019867723,0.000379477],"domain_scores_gemma":[0.99817,0.00058810745,0.000077651675,0.00084861927,0.00025803718,0.000057560483],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019414572,0.00023284723,0.00027787482,0.000036843478,0.000324072,0.00004016967,0.0009770166,0.000030698327,0.0000012961823],"category_scores_gemma":[0.0003280826,0.00013593136,0.000056914923,0.0002340214,0.00015598573,0.00045437465,0.00042478272,0.00014045073,0.000007799525],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011475437,0.0014856498,0.00021413165,0.0022909066,0.0034104518,0.00014323581,0.07286194,0.24651735,0.0040410035,0.486105,0.003870526,0.17791227],"study_design_scores_gemma":[0.0040400927,0.0016077257,0.00005468654,0.0005738081,0.00011889966,0.00006927687,0.0026518926,0.8038223,0.011008759,0.12719108,0.047434006,0.0014275006],"about_ca_topic_score_codex":0.000001141724,"about_ca_topic_score_gemma":0.000011754291,"teacher_disagreement_score":0.5573049,"about_ca_system_score_codex":0.00003880248,"about_ca_system_score_gemma":0.000045368575,"threshold_uncertainty_score":0.554312},"labels":[],"label_agreement":null},{"id":"W2515843661","doi":"10.1515/ans-2009-0303","title":"Solitary Waves for Quasilinear Schrödinger Equations Arising in Plasma Physics","year":2009,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Dissipative system; Superfluidity; Mathematical physics; Physics; Nonlinear system; Nonlinear Schrödinger equation; Schrödinger equation; Space (punctuation); Mathematics; Quantum mechanics","score_opus":0.13058998822798987,"score_gpt":0.423505836340309,"score_spread":0.2929158481123192,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2515843661","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16435677,0.0025134746,0.823423,0.00288742,0.0005043663,0.0031892513,0.00011077317,0.000712933,0.0023019817],"genre_scores_gemma":[0.16748329,0.00018187115,0.83123004,0.0002305367,0.00034776353,0.00013951342,0.000020780777,0.00006851092,0.00029772476],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99797225,0.00003568276,0.0006930944,0.00046273446,0.00026892388,0.0005673075],"domain_scores_gemma":[0.99620086,0.00279677,0.00022880151,0.00043000735,0.00027301826,0.000070556096],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00031466605,0.00035541542,0.0007259458,0.0000920607,0.00023767845,0.000020524883,0.0001990037,0.00007618341,0.00000221541],"category_scores_gemma":[0.0029268572,0.000325171,0.0001662808,0.00037165888,0.00013067051,0.00046945878,0.000083258536,0.00027137564,0.000018110644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019078609,0.0016771312,0.00002881284,0.00080217153,0.00025287698,0.000011732768,0.005400342,0.009795995,0.00851217,0.88889784,0.0003900916,0.08404007],"study_design_scores_gemma":[0.0011915026,0.0002046312,0.000008129072,0.00027504092,0.000052508327,0.0000012316896,0.0012765715,0.034773476,0.0062134443,0.9552885,0.0003405449,0.0003743816],"about_ca_topic_score_codex":0.0000010086544,"about_ca_topic_score_gemma":0.000014817249,"teacher_disagreement_score":0.083665684,"about_ca_system_score_codex":0.00013586263,"about_ca_system_score_gemma":0.00003896121,"threshold_uncertainty_score":0.99992},"labels":[],"label_agreement":null},{"id":"W2518227572","doi":"10.1515/ans-2014-0402","title":"Pointwise Lower Bounds for Solutions of Semilinear Elliptic Equations and Applications","year":2014,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Pointwise; Mathematics; Bounded function; Eigenvalues and eigenvectors; Domain (mathematical analysis); Dirichlet distribution; Mathematical analysis; Upper and lower bounds; Function (biology); Boundary (topology); Elliptic curve; Pure mathematics; Maximum principle; Singularity; Regular polygon; Dirichlet boundary condition; Dirichlet problem; Combinatorics; Boundary value problem; Geometry; Mathematical optimization; Optimal control","score_opus":0.09059104033563306,"score_gpt":0.38513480334243627,"score_spread":0.2945437630068032,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2518227572","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02655776,0.0017125082,0.9685499,0.0006160449,0.00023045552,0.001393061,0.0004412432,0.00015541357,0.0003435769],"genre_scores_gemma":[0.43143776,0.00064439676,0.56339365,0.00014285062,0.0009238973,0.0013690818,0.00014200526,0.00011201116,0.0018343434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986087,0.000054663607,0.0005435401,0.00030872968,0.00018189909,0.0003024335],"domain_scores_gemma":[0.99639994,0.0023378793,0.00022798387,0.00042236387,0.0005328528,0.00007900729],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034779092,0.000202725,0.000429045,0.000109937835,0.00039927286,0.0000124092185,0.0001300476,0.00006441455,0.00000910722],"category_scores_gemma":[0.0026226994,0.0001902571,0.0001258736,0.00024588054,0.0003055656,0.00012594208,0.000115123345,0.00010163324,0.000014169242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000112400085,0.0013511659,0.00014718351,0.0012761559,0.00072107086,3.958848e-7,0.0013879276,0.0008848401,0.019203642,0.9480454,0.0007968216,0.02607304],"study_design_scores_gemma":[0.0037195415,0.0011137264,0.00015355194,0.0003378665,0.0010711921,0.00000514702,0.0015842566,0.109452076,0.0063540507,0.81778836,0.05742531,0.0009949183],"about_ca_topic_score_codex":0.0000029588866,"about_ca_topic_score_gemma":0.00013065527,"teacher_disagreement_score":0.40515628,"about_ca_system_score_codex":0.000034133136,"about_ca_system_score_gemma":0.000041119987,"threshold_uncertainty_score":0.77584594},"labels":[],"label_agreement":null},{"id":"W2790400756","doi":"10.1515/ans-2017-6049","title":"Existence and Multiplicity Results for Systems of First-Order Differential Equations via the Method of Solution-Regions","year":2018,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Multiplicity (mathematics); Differential equation; Variety (cybernetics); First order; Applied mathematics; Order (exchange); Mathematical analysis","score_opus":0.11271103097516068,"score_gpt":0.4056170573657887,"score_spread":0.292906026390628,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2790400756","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.038238723,0.0004920691,0.95961934,0.00038218027,0.00018377135,0.00069945306,0.000315744,0.000030316582,0.000038385617],"genre_scores_gemma":[0.46494177,0.00017692885,0.534203,0.0000072059543,0.00020468073,0.00012792346,0.000026367014,0.00002131399,0.0002907896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9984151,0.00011996946,0.00074118434,0.00028398974,0.00023963363,0.00020012406],"domain_scores_gemma":[0.9929224,0.0045209206,0.00057118654,0.0004955722,0.0014556077,0.000034291068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045784566,0.00018204801,0.0005439222,0.00010266979,0.00044201038,0.000011095331,0.00018188424,0.00005742251,0.0000024250096],"category_scores_gemma":[0.004635413,0.00012425597,0.0001376586,0.00037530015,0.0004921047,0.00008276372,0.0001533717,0.000077261815,0.0000010462468],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0052372743,0.008960138,0.0036891848,0.011380078,0.02521435,0.0000034610205,0.08502437,0.006429409,0.12582396,0.65258795,0.0031016984,0.07254813],"study_design_scores_gemma":[0.0030565008,0.0005103876,0.00050325354,0.0003832541,0.0013942118,0.0000034019642,0.0044934973,0.9410422,0.008387662,0.0388407,0.0009790991,0.000405823],"about_ca_topic_score_codex":0.00012583159,"about_ca_topic_score_gemma":0.0015723578,"teacher_disagreement_score":0.9346128,"about_ca_system_score_codex":0.000027062026,"about_ca_system_score_gemma":0.000023672177,"threshold_uncertainty_score":0.5549357},"labels":[],"label_agreement":null},{"id":"W2937263345","doi":"10.1515/ans-2019-2042","title":"Sharp Singular Trudinger–Moser Inequalities Under Different Norms","year":2019,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"Simons Foundation; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Combinatorics; Norm (philosophy); Type (biology); Physics","score_opus":0.10928324654476024,"score_gpt":0.3912016105507941,"score_spread":0.2819183640060339,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2937263345","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9916878,0.0010044541,0.003520592,0.00069566414,0.0010463037,0.0006595936,0.000065474684,0.00032608546,0.0009940503],"genre_scores_gemma":[0.95055866,0.00039187772,0.03876272,0.00039527524,0.0005879455,0.00010873259,0.00008423842,0.00014859316,0.008961936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99759436,0.00010822544,0.0006849901,0.00052897225,0.0005157597,0.00056767045],"domain_scores_gemma":[0.99767965,0.0009836381,0.0002566086,0.0006692109,0.00030463227,0.000106247295],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00021239684,0.0004547031,0.0008328448,0.00014006525,0.00022891747,0.000051386964,0.0002751384,0.00010610248,0.00025928367],"category_scores_gemma":[0.00077344576,0.00035210742,0.00022572315,0.00025559028,0.00014526678,0.00027562433,0.0003013235,0.00028296796,0.0004077704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010645549,0.005204388,0.028035715,0.00450001,0.007133558,0.00007025442,0.022047337,0.0023077137,0.094336495,0.79610103,0.0037722043,0.035426732],"study_design_scores_gemma":[0.009767388,0.0015523109,0.011299416,0.0016484944,0.0009859258,0.000024313931,0.019979453,0.009611864,0.08051494,0.83661956,0.02370851,0.0042878455],"about_ca_topic_score_codex":0.000009077619,"about_ca_topic_score_gemma":0.0001753264,"teacher_disagreement_score":0.0411291,"about_ca_system_score_codex":0.00014830688,"about_ca_system_score_gemma":0.000037605136,"threshold_uncertainty_score":0.99989307},"labels":[],"label_agreement":null},{"id":"W2963082131","doi":"10.1515/ans-2018-2025","title":"Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space","year":2018,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hyperbolic space; Combinatorics; Ball (mathematics); Physics; Mathematics; Geometry","score_opus":0.055275960435175506,"score_gpt":0.33396956771320685,"score_spread":0.27869360727803133,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963082131","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9910517,0.0029897897,0.0004167123,0.0026526253,0.00012199152,0.00028641676,0.000014995086,0.00008826035,0.0023775084],"genre_scores_gemma":[0.97446424,0.0006011689,0.017369658,0.000719261,0.00041180383,0.000044512282,0.000003856983,0.00004935003,0.0063361386],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99884176,0.00007033276,0.0001873582,0.00031120607,0.00030517168,0.0002841864],"domain_scores_gemma":[0.99831223,0.0007786178,0.00014618931,0.00032330086,0.00038878593,0.000050892144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003791528,0.00023490396,0.00045690412,0.000081485276,0.00040195344,0.00004641663,0.00013342901,0.00005527129,0.000039276027],"category_scores_gemma":[0.0016530197,0.00012083682,0.00006007757,0.0006525489,0.00024101611,0.000098901815,0.000073788535,0.00017390093,0.000042332696],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0043529877,0.007315478,0.10095026,0.0014485002,0.062899895,0.0005800794,0.090237394,0.001122704,0.05692896,0.14853813,0.37029716,0.15532845],"study_design_scores_gemma":[0.019890692,0.01108971,0.039565396,0.003445579,0.006832297,0.0000640154,0.09037475,0.008560956,0.040536843,0.03784695,0.73459977,0.007193026],"about_ca_topic_score_codex":0.0000012560427,"about_ca_topic_score_gemma":0.00010393995,"teacher_disagreement_score":0.3643026,"about_ca_system_score_codex":0.000033848446,"about_ca_system_score_gemma":0.000015358202,"threshold_uncertainty_score":0.49275824},"labels":[],"label_agreement":null},{"id":"W2964012583","doi":"10.1515/ans-2017-0012","title":"Sharp Constants and Optimizers for a Class of Caffarelli–Kohn–Nirenberg Inequalities","year":2017,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"National Science Foundation","keywords":"Mathematics; Combinatorics; Physics; Analytical Chemistry (journal); Crystallography; Chemistry","score_opus":0.21255347087549567,"score_gpt":0.45486758745671113,"score_spread":0.24231411658121546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964012583","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97392297,0.0032129008,0.014343936,0.0016114356,0.0009275859,0.0017931428,0.0017099683,0.0001761971,0.0023018736],"genre_scores_gemma":[0.6959702,0.0014677766,0.3005794,0.000057786296,0.0002452332,0.00017599518,0.00003213534,0.00007024595,0.0014012246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986519,0.000041767922,0.00051451486,0.0002992852,0.0001991453,0.00029337461],"domain_scores_gemma":[0.99731225,0.0011574181,0.0004913835,0.00055682205,0.00041381476,0.00006829154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025402414,0.00023709367,0.0006627429,0.0000690495,0.00050177507,0.000042077816,0.00023087417,0.000069586065,0.000009781004],"category_scores_gemma":[0.003979352,0.00020799824,0.00011730848,0.0000458035,0.00059282704,0.00022086517,0.00023208553,0.00009379355,0.0000030323595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0030368988,0.00228059,0.008294517,0.008546851,0.0074810353,0.00004250335,0.025065571,0.0006009928,0.02535057,0.8149857,0.004931028,0.099383734],"study_design_scores_gemma":[0.02997429,0.0029775142,0.0039980267,0.0036553096,0.0027096095,0.000029802024,0.039107103,0.044757232,0.11442004,0.72061735,0.033487227,0.0042665075],"about_ca_topic_score_codex":0.000023465802,"about_ca_topic_score_gemma":0.000270641,"teacher_disagreement_score":0.28623548,"about_ca_system_score_codex":0.000029213665,"about_ca_system_score_gemma":0.000048540547,"threshold_uncertainty_score":0.84819216},"labels":[],"label_agreement":null},{"id":"W2964213699","doi":"10.1515/ans-2010-0102","title":"Invariant Manifolds for Random and Stochastic Partial Differential Equations","year":2010,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":82,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Junta de Andalucía; National Science Foundation","keywords":"Mathematics; Stochastic partial differential equation; Mathematical analysis; Nonlinear system; Invariant (physics); Stochastic differential equation; Exponential integrator; Partial differential equation; Invariant manifold; Multiplicative function; Geometric analysis; Ordinary differential equation; Applied mathematics; Differential equation; Differential algebraic equation; Mathematical physics","score_opus":0.021610739205683512,"score_gpt":0.27928613642196976,"score_spread":0.25767539721628624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964213699","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48730147,0.0005311644,0.5099346,0.00030211514,0.0009798843,0.0006382507,0.00009892441,0.00018343108,0.000030170777],"genre_scores_gemma":[0.9942051,0.00005055384,0.0050432035,0.000017895667,0.0002993756,0.00029970176,0.000026813897,0.00002137987,0.00003594731],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9991642,0.000015804724,0.00026831572,0.00021454222,0.00010443677,0.00023268072],"domain_scores_gemma":[0.99863577,0.0009574195,0.000030641117,0.00019605961,0.00011485387,0.000065276356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010468748,0.0001716603,0.00031147097,0.000047366146,0.00023609407,0.00003174136,0.00007722174,0.00006201604,0.000025961803],"category_scores_gemma":[0.0009113667,0.00015740813,0.00007962345,0.00006694157,0.00013363795,0.00011918493,0.000038875158,0.00014896892,0.000005679757],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0026806325,0.0013763782,0.00048057846,0.001821204,0.0044281585,0.0000054817842,0.014679734,0.12756957,0.3925391,0.13704425,0.0003481681,0.31702673],"study_design_scores_gemma":[0.008737282,0.00019593227,0.0011043602,0.000037647114,0.00034322558,0.0000023557097,0.000975771,0.970838,0.0025604167,0.013412725,0.0012233553,0.0005689321],"about_ca_topic_score_codex":0.0000029250332,"about_ca_topic_score_gemma":0.0004588957,"teacher_disagreement_score":0.84326845,"about_ca_system_score_codex":0.000014976591,"about_ca_system_score_gemma":0.000013679215,"threshold_uncertainty_score":0.6418917},"labels":[],"label_agreement":null},{"id":"W3138817191","doi":"10.1515/ans-2021-2123","title":"Sharp Hardy Identities and Inequalities on Carnot Groups","year":2021,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Simons Foundation","keywords":"Mathematics; Heisenberg group; Nilpotent; Pure mathematics; Hardy space; Norm (philosophy); Type (biology); Inequality; Algebra over a field; Mathematical analysis; Law","score_opus":0.15212963799126425,"score_gpt":0.414332888003025,"score_spread":0.2622032500117607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3138817191","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98980284,0.0041720537,0.0010189784,0.0010760392,0.0007579525,0.0002831744,0.00022745629,0.00024517046,0.002416337],"genre_scores_gemma":[0.88266015,0.005052071,0.08989445,0.00096158957,0.0013888099,0.00021038899,0.00017216106,0.00016998943,0.019490406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99843496,0.00011809096,0.00042263386,0.00038526108,0.00033047693,0.00030858707],"domain_scores_gemma":[0.9981077,0.0009833286,0.00012340888,0.0003692077,0.00034398754,0.000072376315],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016415237,0.00026182426,0.00049701973,0.00008337813,0.00028815516,0.0000636768,0.00010236155,0.000058345973,0.000060467795],"category_scores_gemma":[0.0023516654,0.00023944532,0.00009852034,0.00018843515,0.00018093134,0.00020646967,0.00024001558,0.00018627632,0.000053698463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002600317,0.0013088828,0.001825339,0.0018507146,0.0020858399,0.00030812237,0.019400395,0.00015052555,0.01171895,0.93612814,0.004736725,0.020226361],"study_design_scores_gemma":[0.0046967235,0.0008015144,0.0033659718,0.0011701095,0.00066958595,0.00007257461,0.042385586,0.0012741878,0.08282927,0.839425,0.021263296,0.0020461427],"about_ca_topic_score_codex":0.0000057172765,"about_ca_topic_score_gemma":0.0002580093,"teacher_disagreement_score":0.10714271,"about_ca_system_score_codex":0.00005013365,"about_ca_system_score_gemma":0.00004300141,"threshold_uncertainty_score":0.9764297},"labels":[],"label_agreement":null},{"id":"W4312591732","doi":"10.1515/ans-2022-0038","title":"Existence and multiplicity results for first-order Stieltjes differential equations","year":2022,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Centre National pour la Recherche Scientifique et Technique","keywords":"Mathematics; Monotonic function; Multiplicity (mathematics); Fixed-point index; Differential equation; Boundary value problem; Pure mathematics; Mathematical analysis; Discrete mathematics; Combinatorics; Applied mathematics","score_opus":0.11029982617645251,"score_gpt":0.38633676159600067,"score_spread":0.27603693541954816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4312591732","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.724886,0.0017295224,0.2660085,0.0023077277,0.00062622887,0.0017832416,0.0021674912,0.0003142288,0.0001770671],"genre_scores_gemma":[0.5115849,0.00043820127,0.48307508,0.00010612637,0.00031999848,0.001139049,0.00029327266,0.00007215407,0.0029712394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9982859,0.00007998524,0.00053347833,0.00047298998,0.0003305095,0.00029712153],"domain_scores_gemma":[0.99621207,0.0027055063,0.00026307284,0.0003910251,0.00036928934,0.00005906868],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002653741,0.00023548133,0.00045799726,0.00014055644,0.0012881461,0.000029110764,0.00018802704,0.000033304426,0.000026795053],"category_scores_gemma":[0.0040756864,0.00021860948,0.00013062716,0.00037499587,0.00013496556,0.00011385184,0.0004368152,0.0001746066,0.000002551086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.011096099,0.01792228,0.005016882,0.005907961,0.02019416,0.00008207568,0.092216104,0.037228156,0.018358547,0.527944,0.014353413,0.24968027],"study_design_scores_gemma":[0.015144041,0.0014868573,0.0011747981,0.00018141822,0.002015632,0.000012273874,0.0236458,0.681846,0.0019377297,0.23523198,0.03516103,0.0021624067],"about_ca_topic_score_codex":0.000017718297,"about_ca_topic_score_gemma":0.00050297787,"teacher_disagreement_score":0.64461786,"about_ca_system_score_codex":0.000090420384,"about_ca_system_score_gemma":0.000030921503,"threshold_uncertainty_score":0.99075085},"labels":[],"label_agreement":null},{"id":"W4382461046","doi":"10.1515/ans-2022-0070","title":"On an effective equation of the reduced Hartree-Fock theory","year":2023,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Limit (mathematics); Hartree–Fock method; Poisson distribution; Fock space; Mathematical physics; Applied mathematics; Poisson's equation; Mathematical analysis; Pure mathematics; Computational chemistry; Quantum mechanics; Statistics; Chemistry; Physics","score_opus":0.08312446164072956,"score_gpt":0.40800715213348276,"score_spread":0.3248826904927532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4382461046","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9955448,0.000060566257,0.00078977545,0.00020045196,0.00030150902,0.00075701164,0.000019606656,0.00022696523,0.0020993408],"genre_scores_gemma":[0.9894853,0.00004355031,0.0093161855,0.00009042417,0.00015914618,0.00013313994,0.000004589846,0.00005877806,0.00070888136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858725,0.0003091606,0.000304634,0.00024578514,0.00032331704,0.00022987709],"domain_scores_gemma":[0.993626,0.0053940215,0.0001981936,0.00059791084,0.00015241874,0.000031457308],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007187287,0.0001935186,0.0003720439,0.00005581671,0.00016575509,0.00000657844,0.00024611648,0.000043134503,0.000011209187],"category_scores_gemma":[0.0053547528,0.000121312885,0.00013117677,0.00050747365,0.00023379952,0.00011229529,0.00012619329,0.00017395968,0.0000827106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014409689,0.00025659637,0.00001022782,0.00018256513,0.00020062158,0.0000017984377,0.0033214572,0.0005322991,0.013391412,0.9727725,0.00018193576,0.009004501],"study_design_scores_gemma":[0.00032241872,0.00022687104,0.00028569857,0.00017505823,0.000054070766,5.0258427e-7,0.0012995932,0.00079078344,0.07150301,0.9251943,0.000021850245,0.00012581886],"about_ca_topic_score_codex":4.287842e-7,"about_ca_topic_score_gemma":0.0000033066808,"teacher_disagreement_score":0.058111604,"about_ca_system_score_codex":0.000056243818,"about_ca_system_score_gemma":0.000011395,"threshold_uncertainty_score":0.6410526},"labels":[],"label_agreement":null},{"id":"W4388837764","doi":"10.1515/ans-2023-0084","title":"On singular solutions of Lane-Emden equation on the Heisenberg group","year":2023,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; China Postdoctoral Science Foundation","keywords":"Mathematics; Combinatorics; Heisenberg group; Physics; Mathematical analysis","score_opus":0.06683585434921288,"score_gpt":0.3332228112137433,"score_spread":0.2663869568645304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388837764","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9840527,0.00034150507,0.0017775387,0.0033879958,0.0006235235,0.00051192974,0.00030627055,0.0001391368,0.008859402],"genre_scores_gemma":[0.996091,0.0000838857,0.0017291714,0.00013531327,0.00048482147,0.000039406437,0.00013599715,0.00002657936,0.0012738229],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991242,0.00005098731,0.00020371078,0.00018945771,0.00018324898,0.00024834013],"domain_scores_gemma":[0.9989132,0.00060125045,0.00009598877,0.00028330262,0.00007848616,0.000027761318],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001823729,0.00013983554,0.00020422638,0.0000572936,0.0003178394,0.000009839157,0.000113176,0.000019851212,0.00002768205],"category_scores_gemma":[0.00008203459,0.00009450106,0.00011036722,0.00028603268,0.00010001854,0.000044784945,0.00008255263,0.00013233775,0.00015439898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012377267,0.0006577283,0.0016863776,0.000054924436,0.00087387464,0.0000070293095,0.0022895914,0.0130467685,0.0031915829,0.9340068,0.004560394,0.03950117],"study_design_scores_gemma":[0.0063656922,0.0032674007,0.016111951,0.0014635324,0.00053091213,0.0000019774259,0.045762435,0.08434346,0.023059402,0.6669309,0.14958656,0.002575753],"about_ca_topic_score_codex":0.00001936494,"about_ca_topic_score_gemma":0.000008196356,"teacher_disagreement_score":0.26707587,"about_ca_system_score_codex":0.000016951577,"about_ca_system_score_gemma":0.000014988847,"threshold_uncertainty_score":0.38536415},"labels":[],"label_agreement":null},{"id":"W4392352746","doi":"10.1515/ans-2022-0077","title":"Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces","year":2024,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Homogeneous; Regular polygon; Class (philosophy); Flow (mathematics); Nonlinear system; Scroll; Combinatorics; Point (geometry); Pure mathematics; Mathematical analysis; Geometry; Physics; Computer science; Theology","score_opus":0.0453670131600891,"score_gpt":0.3572085642588732,"score_spread":0.3118415510987841,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392352746","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95589185,0.03866316,0.0016574035,0.0003853919,0.0010027551,0.00038094417,0.000069629576,0.00022614082,0.001722716],"genre_scores_gemma":[0.8459363,0.0028914076,0.14890581,0.0000770896,0.00049631426,0.00003033311,0.00001976972,0.000079474215,0.0015634816],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9978492,0.000039184026,0.0007498242,0.00049176824,0.00046207305,0.00040795017],"domain_scores_gemma":[0.9973933,0.0014554549,0.00023145064,0.00040824944,0.0004329946,0.000078514866],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051924074,0.000354095,0.0010016006,0.00024746754,0.00015419605,0.000047110363,0.00023644182,0.00011566063,0.000058289424],"category_scores_gemma":[0.0013317587,0.000272298,0.0003391862,0.0011521267,0.00012588994,0.00018775719,0.00013690942,0.00032338285,0.00006490916],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013387697,0.0042252913,0.009087738,0.015288573,0.03993764,0.0024775784,0.03379333,0.018571667,0.17030124,0.015607541,0.015930051,0.6734406],"study_design_scores_gemma":[0.00648175,0.002270291,0.00064509,0.0042722793,0.0059844255,0.00026695273,0.06397113,0.36177066,0.09184787,0.019456359,0.4384536,0.0045795823],"about_ca_topic_score_codex":0.000010215286,"about_ca_topic_score_gemma":0.0000793764,"teacher_disagreement_score":0.668861,"about_ca_system_score_codex":0.000050598825,"about_ca_system_score_gemma":0.00006586054,"threshold_uncertainty_score":0.99997294},"labels":[],"label_agreement":null},{"id":"W4392366095","doi":"10.1515/ans-2023-0119","title":"A Liouville theorem for superlinear parabolic equations on the Heisenberg group","year":2024,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"China Postdoctoral Science Foundation","keywords":"Heisenberg group; Mathematics; Nonlinear system; Group (periodic table); Applied mathematics; Mathematical analysis; Pure mathematics; Physics; Quantum mechanics","score_opus":0.1257070525785582,"score_gpt":0.4072190395747143,"score_spread":0.2815119869961561,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392366095","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39537203,0.037402667,0.46698335,0.05951536,0.009255399,0.013303162,0.002800692,0.004548166,0.010819173],"genre_scores_gemma":[0.8547312,0.0023790323,0.12923028,0.0012617295,0.0036681376,0.0029022915,0.00023289527,0.00036402346,0.0052303965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981945,0.00011855249,0.0004824468,0.00045522707,0.000321611,0.00042763012],"domain_scores_gemma":[0.9914978,0.0075967815,0.000078295896,0.00053667865,0.00022340678,0.000067042856],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049021665,0.00032457997,0.00040021606,0.00012691015,0.0005461159,0.000091222784,0.0002598393,0.000072783034,0.000056623412],"category_scores_gemma":[0.0032728896,0.0002050662,0.00028291947,0.0004658032,0.00021577458,0.00015125202,0.0001069867,0.00026013752,0.00020847809],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058825128,0.00020964473,0.0000030964127,0.00015073562,0.00043217928,0.0000039938823,0.0012703743,0.0001614366,0.0010043237,0.9828914,0.0021364,0.011677608],"study_design_scores_gemma":[0.0011325374,0.00067225745,0.000020477237,0.00063660636,0.00047519678,0.0000055444566,0.003426057,0.09002526,0.0059594847,0.7188476,0.17802769,0.0007713047],"about_ca_topic_score_codex":0.0000037971784,"about_ca_topic_score_gemma":0.0001460867,"teacher_disagreement_score":0.4593592,"about_ca_system_score_codex":0.00007252964,"about_ca_system_score_gemma":0.00005564622,"threshold_uncertainty_score":0.8362357},"labels":[],"label_agreement":null},{"id":"W4393316824","doi":"10.1515/ans-2023-0129","title":"A note on the classification of positive solutions to the critical <i>p</i>-Laplace equation in Rn${\\mathbb{R}}^{n}$","year":2024,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Laplace transform; Pure mathematics; Mathematical physics; Mathematical analysis","score_opus":0.1730680265277565,"score_gpt":0.43821815250698776,"score_spread":0.26515012597923127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393316824","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38512522,0.0034917507,0.3851574,0.215114,0.0024660025,0.004353223,0.00076136267,0.0004520285,0.0030789822],"genre_scores_gemma":[0.98305506,0.00012690712,0.015673669,0.0003205687,0.00024670744,0.00029253634,0.000017170152,0.00003497403,0.00023244057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99837375,0.00023095531,0.0004668995,0.00029422218,0.00035845884,0.00027571982],"domain_scores_gemma":[0.99253637,0.0066786553,0.000070148046,0.00040178114,0.00027627905,0.000036776924],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006557622,0.00017839849,0.0002488146,0.00013067524,0.00026398865,0.00003727726,0.0002050219,0.000051663417,0.000012614053],"category_scores_gemma":[0.006779333,0.0001071733,0.00009911076,0.00068763644,0.00019016201,0.000121358666,0.00012256711,0.00027674713,0.00013294058],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011040706,0.00038301115,0.000013019213,0.00015691515,0.00013072722,0.000004663225,0.009014971,0.0010582799,0.014145569,0.9640645,0.0013528393,0.009565095],"study_design_scores_gemma":[0.0012457883,0.0013339428,0.005097666,0.0045776246,0.0006600896,0.0000122435185,0.015834466,0.43359938,0.030541534,0.48963678,0.016271295,0.0011891968],"about_ca_topic_score_codex":0.000011427218,"about_ca_topic_score_gemma":0.00055342744,"teacher_disagreement_score":0.5979298,"about_ca_system_score_codex":0.00013034191,"about_ca_system_score_gemma":0.00007298831,"threshold_uncertainty_score":0.8115985},"labels":[],"label_agreement":null},{"id":"W4408349154","doi":"10.1515/ans-2023-0172","title":"Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian","year":2025,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Cape Breton University","funders":"Fundamental Research Funds for the Central Universities; China Scholarship Council; National Natural Science Foundation of China","keywords":"Mathematics; Fractional Laplacian; Type (biology); Mathematical analysis; Wave equation; Laplace operator; Applied mathematics; Geology","score_opus":0.028668159551354048,"score_gpt":0.28681096831128255,"score_spread":0.2581428087599285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408349154","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9350916,0.0017330463,0.056757785,0.00055763416,0.0009042388,0.0005041702,0.000038013375,0.0002471126,0.0041663945],"genre_scores_gemma":[0.9932035,0.00017975482,0.006272853,0.00003884981,0.000045605942,0.000030605148,0.000030588893,0.000011596407,0.00018664158],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9992315,0.000025215504,0.00026340692,0.00016991056,0.00016168377,0.00014829116],"domain_scores_gemma":[0.9989969,0.0003934043,0.000045018693,0.00020459884,0.00033711293,0.000022945447],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000089318084,0.0001395291,0.00028904888,0.000087160384,0.00010232247,0.000008208914,0.00006583206,0.00004595958,0.000030012088],"category_scores_gemma":[0.0002568845,0.00012444319,0.000048633872,0.00033580768,0.000116236515,0.00013745432,0.000025503312,0.00011286793,0.000009209961],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002829349,0.001553705,0.029867407,0.0036221019,0.0066571967,0.000009839194,0.00824172,0.64595306,0.044388987,0.0344267,0.00055289903,0.22189704],"study_design_scores_gemma":[0.016167684,0.001534138,0.11303952,0.0014630795,0.001311822,0.000005316439,0.024216536,0.6835275,0.0705262,0.048068225,0.037822574,0.002317384],"about_ca_topic_score_codex":0.00000868973,"about_ca_topic_score_gemma":0.00020662768,"teacher_disagreement_score":0.21957965,"about_ca_system_score_codex":0.000068213994,"about_ca_system_score_gemma":0.00004406979,"threshold_uncertainty_score":0.50746465},"labels":[],"label_agreement":null},{"id":"W4413843151","doi":"10.1515/ans-2023-0195","title":"Existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities","year":2025,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Logarithm; Infinity; Upper and lower bounds; Mathematical analysis; Nonlinear system; Energy (signal processing); Initial value problem; Exponential function; Class (philosophy); Physics; Quantum mechanics","score_opus":0.08311950804990695,"score_gpt":0.3895380204714593,"score_spread":0.3064185124215524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413843151","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77673453,0.0029756164,0.20218608,0.005466082,0.0007591333,0.005031362,0.002182732,0.0004843409,0.0041801054],"genre_scores_gemma":[0.3328489,0.0005316879,0.6630733,0.00014463854,0.00011332655,0.0004373032,0.000093726274,0.00004687841,0.002710242],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980785,0.0000680239,0.00077989063,0.0004695643,0.00025199557,0.00035198242],"domain_scores_gemma":[0.99518967,0.0031028017,0.0003461932,0.00048785226,0.0008133779,0.000060133832],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030182078,0.00030527802,0.0007290567,0.00020220368,0.00032299478,0.000027680218,0.00021727823,0.00008432003,0.000001308432],"category_scores_gemma":[0.0035259926,0.0002561023,0.00009646882,0.00048250746,0.00063189206,0.00015887045,0.00015979326,0.00016519036,0.000002017201],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004214202,0.0015989156,0.00047208578,0.0030254298,0.0017578371,0.000009674058,0.0049493806,0.000571357,0.0049681542,0.9694093,0.00047688742,0.008546784],"study_design_scores_gemma":[0.036163643,0.0054407776,0.0026489717,0.0055149808,0.002533847,0.000023164119,0.02017801,0.19995011,0.041485976,0.67461884,0.008800497,0.002641188],"about_ca_topic_score_codex":0.000019509202,"about_ca_topic_score_gemma":0.00059947936,"teacher_disagreement_score":0.4608872,"about_ca_system_score_codex":0.00004941649,"about_ca_system_score_gemma":0.0001540519,"threshold_uncertainty_score":0.9999891},"labels":[],"label_agreement":null}]}