{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":12,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":12,"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"},"query_hash":"bfec9d4c98da","filters":{"venue":"Electronic Journal of Differential Equations"}},"results":[{"id":"W3014924382","doi":"10.58997/ejde.2020.04","title":"Convergence of approximate solutions to nonlinear Caputo nabla fractional difference equations with boundary conditions","year":2020,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"Guangdong Province Key Laboratory of Computational Science; Hebei Normal University; Natural Science Foundation of Guangdong Province","keywords":"Mathematics; Nabla symbol; Linearization; Convergence (economics); Nonlinear system; Applied mathematics; Boundary value problem; Mathematical analysis; Quadratic equation","retraction":null,"screen_n_in":null,"score":{"opus":0.04715664554893036,"gpt":0.3035720234175543,"spread":0.256415377868624,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003637929,0.0004073089,0.0007281487,0.0005569884,0.000751695,0.0000984541,0.0006040153,0.0001568341,0.001154529],"category_scores_gemma":[0.002561192,0.0003739478,0.0003916497,0.001298519,0.0003116947,0.0005657242,0.0001203369,0.0009923866,0.000061473],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004493906,"about_ca_system_score_gemma":0.002391724,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005118752,"about_ca_topic_score_gemma":0.0002701908,"domain_scores_codex":[0.9956816,0.0002700228,0.001520358,0.0004031404,0.001283825,0.0008410479],"domain_scores_gemma":[0.9945662,0.001651559,0.001224861,0.0004037826,0.001660309,0.000493276],"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":[0.0003779588,0.001752355,0.0002375751,0.00009734815,0.001055734,0.00000561863,0.001302704,0.008091988,0.03939116,0.9456846,0.00166659,0.0003363331],"study_design_scores_gemma":[0.01123495,0.008691402,0.01140969,0.001055786,0.005244012,0.0003640084,0.00362303,0.3993554,0.01211379,0.5386153,0.005043117,0.003249496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1040392,0.0001446996,0.8889396,0.005341171,0.0003160433,0.000605701,0.0003662393,0.0000752804,0.0001721019],"genre_scores_gemma":[0.9900607,0.00004639567,0.008691659,0.0001703554,0.0004214392,0.00008606617,0.0001656245,0.00006240122,0.0002953503],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8860215,"threshold_uncertainty_score":0.9998713,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4366516882","doi":"10.58997/ejde.2023.01","title":"Linear higher-order fractional differential and integral equations","year":2023,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","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":"Mathematics; Equivalence (formal languages); Mathematical analysis; Nonlinear system; Contraction principle; Order (exchange); Banach space; Differential equation; Fixed-point theorem; Integral equation; Fixed-point index; Boundary value problem; Applied mathematics; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.04024500882907376,"gpt":0.3317033930257807,"spread":0.2914583841967069,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005410932,0.0003605828,0.000639808,0.001051683,0.0004438395,0.0001451058,0.0003757658,0.0001935501,0.001831522],"category_scores_gemma":[0.001593843,0.0003131042,0.0004231566,0.001344657,0.0001515991,0.0004148978,0.000129815,0.0009828227,0.0000898897],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002786964,"about_ca_system_score_gemma":0.0006243853,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003743308,"about_ca_topic_score_gemma":0.0002214811,"domain_scores_codex":[0.9964294,0.0002777718,0.001205971,0.0003273156,0.0009955711,0.0007639629],"domain_scores_gemma":[0.9961191,0.001764357,0.0007850301,0.0003508315,0.0007561322,0.0002245518],"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":[0.0001322248,0.000925177,0.0002867585,0.0000550525,0.00174136,0.000009049551,0.0007190746,0.000482449,0.01519507,0.9744808,0.001133675,0.004839294],"study_design_scores_gemma":[0.004731636,0.000843895,0.005839809,0.0001698148,0.002809494,0.00005710569,0.0008745943,0.1826292,0.001201997,0.7983465,0.001442215,0.001053703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.359942,0.0001119186,0.6373372,0.001493064,0.0006381141,0.0002114572,0.0000395065,0.0001158646,0.0001108308],"genre_scores_gemma":[0.9945803,0.000179052,0.001644574,0.00002719705,0.001066668,0.00002407778,0.0001589657,0.00006739402,0.002251818],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6356926,"threshold_uncertainty_score":0.9999321,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3200844714","doi":"10.58997/ejde.2020.14","title":"Existence of rational solutions for q-difference Painleve equations","year":2020,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Meromorphic and Entire Functions","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":"Toronto Metropolitan University","funders":"Natural Science Foundation of Jiangxi Province; National Natural Science Foundation of China","keywords":"Mathematics; Meromorphic function; Convergence (economics); Pure mathematics; Nevanlinna theory; Applied mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.1427781463076278,"gpt":0.3118312306769673,"spread":0.1690530843693396,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004699639,0.0001686717,0.0003947852,0.0001414883,0.0003215709,0.00002982249,0.0003079628,0.0000837922,0.0003999143],"category_scores_gemma":[0.003506232,0.0001525437,0.0003545943,0.0003213299,0.00009911218,0.0001712585,0.00004356526,0.0003538372,0.000006990293],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001074749,"about_ca_system_score_gemma":0.001085031,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005675312,"about_ca_topic_score_gemma":0.00003487863,"domain_scores_codex":[0.9977995,0.0001290002,0.0009497268,0.0001670364,0.00046773,0.0004870693],"domain_scores_gemma":[0.9963816,0.001764252,0.0007789872,0.000176608,0.0007389957,0.0001595441],"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":[0.00007492193,0.0002886752,0.00003453403,0.00006153638,0.0002383386,3.114461e-7,0.0005669137,0.0001590468,0.01079095,0.9859412,0.0009464041,0.0008971714],"study_design_scores_gemma":[0.003030536,0.001949332,0.0005443886,0.0001724562,0.0009216243,0.00002289962,0.0008096564,0.07751413,0.002102731,0.9115428,0.0009643139,0.0004251815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02041692,0.0002435707,0.9759877,0.002512317,0.0002513697,0.0003221188,0.00007406686,0.00002457404,0.0001673626],"genre_scores_gemma":[0.9937639,0.00004219671,0.005284348,0.0000701496,0.0003880494,0.00003636957,0.00004373575,0.00002168787,0.0003495532],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.973347,"threshold_uncertainty_score":0.6220551,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4385147403","doi":"10.58997/ejde.2022.70","title":"Improved blowup time estimates for fourth-order damped wave equations with strain term and arbitrary positive initial energy","year":2022,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Advanced Mathematical Physics Problems","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":"Cape Breton University","funders":"Fundamental Research Funds for the Central Universities; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Term (time); Nonlinear system; Range (aeronautics); Energy (signal processing); Mathematical analysis; Upper and lower bounds; Energy method; Wave equation; Order (exchange); First order; Applied mathematics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.02130967667849375,"gpt":0.2864756337843107,"spread":0.2651659571058169,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002977665,0.0002587495,0.0004647237,0.0001770275,0.0004680765,0.00006616384,0.0001945153,0.00005100056,0.0002110408],"category_scores_gemma":[0.000453463,0.0002225343,0.0001474798,0.0002231092,0.00009923158,0.0002965718,0.00009446588,0.0005312219,6.261508e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002202685,"about_ca_system_score_gemma":0.0005654406,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003772275,"about_ca_topic_score_gemma":0.00002190053,"domain_scores_codex":[0.9980863,0.0001102322,0.0006398156,0.0002253623,0.0003995109,0.0005387816],"domain_scores_gemma":[0.9964281,0.00231211,0.0006488549,0.0001896755,0.0003020739,0.0001191841],"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":[0.0003264469,0.0008927219,0.000001174769,0.00005469795,0.0007738185,0.000006277811,0.001107316,0.0004582544,0.07294306,0.9201578,0.00004136841,0.003237049],"study_design_scores_gemma":[0.002334069,0.001882247,0.000007344822,0.00004476944,0.0005591963,0.00008800929,0.000176753,0.08437183,0.003331294,0.90692,0.000009505523,0.0002749873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03307363,0.0001090307,0.9655766,0.000386547,0.00005567133,0.0004743536,0.0001627741,0.00003335835,0.0001280567],"genre_scores_gemma":[0.9600968,0.000006385478,0.03914171,0.00004704913,0.0001539165,0.0001502188,0.0001218173,0.00006856609,0.0002134971],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9270232,"threshold_uncertainty_score":0.9074687,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3212485638","doi":"10.58997/ejde.2020.104","title":"Short term unpredictability of high Reynolds number turbulence - rough dependence on initial data","year":2020,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Fluid Dynamics and Turbulent Flows","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Turbulence; Reynolds number; Term (time); Statistical physics; Mechanics; Reynolds decomposition; Physics; Mathematics; Reynolds equation","retraction":null,"screen_n_in":null,"score":{"opus":0.02513734103440981,"gpt":0.262461626345848,"spread":0.2373242853114382,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001874847,0.0001812324,0.0003287636,0.00005950371,0.00005125775,0.00003281394,0.0007280566,0.00009079178,0.0002232095],"category_scores_gemma":[0.0001720798,0.0001667749,0.0001109434,0.0002014476,0.00004873523,0.0003188078,0.00009925679,0.0006662586,0.00001071207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001208382,"about_ca_system_score_gemma":0.0001740518,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001383499,"about_ca_topic_score_gemma":0.00003050067,"domain_scores_codex":[0.9982396,0.00005414473,0.0006554866,0.0002017887,0.0004870141,0.0003619518],"domain_scores_gemma":[0.9990888,0.0001404522,0.0001212793,0.0004075553,0.0001122147,0.0001296879],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001361811,0.00225004,0.009292176,0.0006320097,0.00323846,0.000101364,0.002597951,0.6857912,0.04462805,0.1890044,0.003197883,0.05790471],"study_design_scores_gemma":[0.001221362,0.0006646372,0.01087185,0.0001229759,0.0002881874,0.0000322284,0.00001764155,0.9787534,0.002835979,0.004696908,0.0001245482,0.0003702076],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.836208,0.0002009493,0.1623543,0.0002537392,0.0004436195,0.000123404,0.0001653819,0.00004163699,0.0002089553],"genre_scores_gemma":[0.9990906,0.0002381074,0.0001627572,0.00002230842,0.0003511469,0.00000216818,0.00009991555,0.00002577884,0.00000718622],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2929623,"threshold_uncertainty_score":0.6800883,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3198131954","doi":"10.58997/ejde.2020.05","title":"Solution to Navier-Stokes equations for turbulent channel flows","year":2020,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Mathematics; Turbulence; Navier–Stokes equations; Space (punctuation); Function (biology); Channel (broadcasting); Term (time); Work (physics); Mathematical analysis; Variable (mathematics); Function space; Applied mathematics; Physics; Mechanics; Compressibility; Computer science; Thermodynamics","retraction":null,"screen_n_in":null,"score":{"opus":0.08111244497817827,"gpt":0.3342180572052125,"spread":0.2531056122270342,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006600083,0.0003124653,0.0005540028,0.0003558419,0.0004910682,0.00009943654,0.000625943,0.0001411693,0.0002213288],"category_scores_gemma":[0.004979274,0.0003041817,0.000522595,0.0006913734,0.00004216574,0.0003995805,0.00009565966,0.0005752358,0.00007925283],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005630002,"about_ca_system_score_gemma":0.000767665,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006681692,"about_ca_topic_score_gemma":0.00007636968,"domain_scores_codex":[0.9965913,0.00019401,0.001303399,0.0003143113,0.0007492684,0.0008477642],"domain_scores_gemma":[0.9964293,0.001116006,0.0007645815,0.0003417451,0.0009173508,0.000430977],"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":[0.000450224,0.001349455,0.000008870894,0.0001707661,0.0009259505,0.000004839565,0.006141921,0.007671027,0.06892204,0.8931585,0.01420949,0.006986902],"study_design_scores_gemma":[0.005575001,0.003151514,0.00007225748,0.0002754587,0.001882028,0.00007599859,0.0009241664,0.4753383,0.006851012,0.4878711,0.01669711,0.001286082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01576089,0.0003408351,0.9606865,0.02151559,0.0004234569,0.00104289,0.00006241901,0.00008116926,0.00008627292],"genre_scores_gemma":[0.9887823,0.00004345247,0.009062816,0.0003957617,0.0011032,0.0001515655,0.00006270235,0.00006573064,0.000332506],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9730214,"threshold_uncertainty_score":0.9999411,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3195869415","doi":"10.58997/ejde.2021.28","title":"Weakly monotone decreasing solutions to elliptic Schrodinger integral system","year":2021,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Monotone polygon; Schrödinger's cat; Mathematics; Pure mathematics; Upper and lower bounds; Mathematical analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.05174958150979597,"gpt":0.3190332108446436,"spread":0.2672836293348476,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005995988,0.0003140873,0.0006248084,0.0004523697,0.0004637203,0.0002036989,0.0003950149,0.0001409306,0.000399037],"category_scores_gemma":[0.002164233,0.0002977272,0.0004710002,0.000739661,0.0000604915,0.0003028428,0.0001347714,0.00079448,0.0001185689],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008992761,"about_ca_system_score_gemma":0.00149792,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002429346,"about_ca_topic_score_gemma":0.0003707803,"domain_scores_codex":[0.9962815,0.0004112933,0.001254249,0.0003077976,0.0007563228,0.0009888221],"domain_scores_gemma":[0.9969565,0.0006985987,0.0005243177,0.0004607034,0.0009888014,0.0003711271],"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":[0.00006390823,0.0006236454,0.00003764916,0.00004836625,0.0003749185,0.00001785576,0.0004371414,0.000145,0.07303789,0.9231274,0.0003430633,0.001743183],"study_design_scores_gemma":[0.0109747,0.003913701,0.003085612,0.004153527,0.008404023,0.002455235,0.009437493,0.1039871,0.1545155,0.6891493,0.005795097,0.004128662],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2998256,0.0005174755,0.6976407,0.0007221387,0.0006393575,0.0002455248,0.00001854315,0.00007148781,0.0003191068],"genre_scores_gemma":[0.9902574,0.00003796743,0.008181139,0.00003558395,0.000786683,0.00002415784,0.00002736425,0.00006480696,0.0005849379],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6904317,"threshold_uncertainty_score":0.9999475,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4286914598","doi":"10.58997/ejde.2021.87","title":"Solutions and eigenvalues of Laplace's equation on bounded open sets","year":2021,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bounded function; Eigenvalues and eigenvectors; Mathematics; Mathematical analysis; Laplace transform; Laplace's equation; Pure mathematics; Physics; Partial differential equation","retraction":null,"screen_n_in":null,"score":{"opus":0.103311149611626,"gpt":0.3436411068895451,"spread":0.2403299572779191,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007177401,0.0001891546,0.0004687239,0.0002244508,0.0003592545,0.0002519074,0.0003191163,0.00009821045,0.0003996872],"category_scores_gemma":[0.0007737066,0.000168165,0.0001792156,0.0003117317,0.0001037247,0.0003937425,0.0001549257,0.0003897271,0.000004936278],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001666453,"about_ca_system_score_gemma":0.001212039,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004218276,"about_ca_topic_score_gemma":0.0003898471,"domain_scores_codex":[0.9976644,0.0003052662,0.0008908691,0.0002030284,0.0005192058,0.0004172381],"domain_scores_gemma":[0.9975906,0.0007016737,0.0007454107,0.0002813598,0.000578971,0.0001020125],"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":[0.0000670329,0.0008566594,0.00005018205,0.00004174991,0.0003492029,0.000003356856,0.0005295649,0.00006035631,0.008852991,0.9842021,0.0003216244,0.004665146],"study_design_scores_gemma":[0.002329957,0.0009161322,0.0004171866,0.0002197378,0.0004867902,0.00007441846,0.0006257234,0.003295897,0.005919908,0.9849262,0.0005365107,0.0002515038],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5577596,0.0006496622,0.4389953,0.0008560051,0.0003986442,0.0003391011,0.00002712527,0.00001717788,0.0009573742],"genre_scores_gemma":[0.9965883,0.000246585,0.002329107,0.00002754617,0.0001201695,0.00001158425,0.00003500023,0.00002508051,0.0006166204],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4388287,"threshold_uncertainty_score":0.6857571,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4405216736","doi":"10.58997/ejde.2024.81","title":"Existence and uniqueness of generalized normal solutions to first order fractional differential equations and applications","year":2024,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Uniqueness; Fixed-point theorem; Picard–Lindelöf theorem; Contraction mapping; Type (biology); Banach space; Mathematical analysis; Banach fixed-point theorem; Applied mathematics; Contraction (grammar); Subspace topology; Contraction principle; Population; Differential equation","retraction":null,"screen_n_in":null,"score":{"opus":0.03741127729393737,"gpt":0.3130419858395087,"spread":0.2756307085455713,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004185468,0.0003325546,0.0005152112,0.0009104303,0.000694063,0.0001872054,0.0002899257,0.0001724955,0.000468126],"category_scores_gemma":[0.0008719575,0.0003187043,0.0002364454,0.0009874981,0.0002441176,0.0006026442,0.0001502623,0.0006747059,0.00001422014],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003667525,"about_ca_system_score_gemma":0.001021523,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001000091,"about_ca_topic_score_gemma":0.0009430122,"domain_scores_codex":[0.9969062,0.0001921821,0.001200145,0.0003832124,0.0007159071,0.0006023747],"domain_scores_gemma":[0.9960646,0.002032032,0.0004526904,0.000316493,0.0008601702,0.0002740299],"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":[0.00005444255,0.0004313847,0.00003019352,0.000108539,0.00044192,0.000001240813,0.0004675297,0.0004712745,0.007953263,0.9882103,0.0003145051,0.001515417],"study_design_scores_gemma":[0.002710051,0.0009529458,0.003839108,0.0006571312,0.002536294,0.0003152807,0.0007265003,0.1069607,0.0013301,0.8717447,0.00706549,0.001161729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07083826,0.001335395,0.9247222,0.00177537,0.0003914046,0.0006101602,0.0001429184,0.00007084767,0.0001134719],"genre_scores_gemma":[0.992999,0.0004240147,0.005095186,0.00002586106,0.0004972155,0.0002041198,0.00007569735,0.00005304513,0.0006258858],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9221607,"threshold_uncertainty_score":0.9999265,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4376463644","doi":"10.58997/ejde.2023.26","title":"Existence of solutions to steady Navier-Stokes equations via a minimax approach","year":2023,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University; National Research Council Canada","funders":"","keywords":"Mathematics; Minimax; Subspace topology; Regular polygon; Invariant subspace; Invariant (physics); Compact space; Mathematical analysis; Applied mathematics; Solution set; Type (biology); Set (abstract data type); Mathematical optimization; Pure mathematics; Linear subspace; Geometry; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.09835810963631096,"gpt":0.344340690149929,"spread":0.245982580513618,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001493383,0.0003303317,0.000714865,0.001211432,0.0005196372,0.00006368548,0.0007459309,0.0001618789,0.0002037596],"category_scores_gemma":[0.002850495,0.0003218835,0.0005138592,0.002453529,0.0001609111,0.000427422,0.0001664163,0.0007185325,0.0001392062],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005218989,"about_ca_system_score_gemma":0.001061002,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002471664,"about_ca_topic_score_gemma":0.0001010595,"domain_scores_codex":[0.9952021,0.0003897347,0.001788022,0.0003276719,0.001203469,0.00108901],"domain_scores_gemma":[0.9951515,0.001759925,0.00114191,0.0006098612,0.001039798,0.0002969866],"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":[0.00007792116,0.001358058,0.00006676693,0.0001074404,0.0005961275,0.000003347848,0.003533849,0.002530985,0.02734765,0.957997,0.002515584,0.003865236],"study_design_scores_gemma":[0.005171644,0.00243444,0.001997445,0.0005391437,0.002359098,0.000171681,0.004453679,0.1173105,0.003968815,0.8573127,0.0026674,0.001613424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06555411,0.0003003814,0.9310695,0.0009972013,0.0003886108,0.0006560979,0.00008643075,0.0001134598,0.0008342143],"genre_scores_gemma":[0.9878219,0.00006908825,0.01032182,0.00003182887,0.0002670555,0.0001054485,0.00007419181,0.0000606791,0.001248038],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9222677,"threshold_uncertainty_score":0.9999233,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4286928984","doi":"10.58997/ejde.2021.83","title":"Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities","year":2021,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"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","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Multiplicity (mathematics); Gravitational singularity; Invariant (physics); Mathematics; Pure mathematics; Mathematical analysis; Mathematical physics","retraction":null,"screen_n_in":null,"score":{"opus":0.02512831825593637,"gpt":0.2705913969034926,"spread":0.2454630786475562,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002451484,0.0003270555,0.0008735532,0.0001992328,0.0002253933,0.0001400421,0.0001737858,0.0001532278,0.00009981798],"category_scores_gemma":[0.0005546869,0.00024886,0.0002242011,0.0002895633,0.0001494043,0.0002655562,0.00009384548,0.0005212167,8.182612e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001527682,"about_ca_system_score_gemma":0.0005226893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000104361,"about_ca_topic_score_gemma":0.0007821807,"domain_scores_codex":[0.9969471,0.0003182751,0.001260811,0.0002748461,0.0006746905,0.0005242518],"domain_scores_gemma":[0.9967894,0.0009463073,0.001055796,0.0002957533,0.0007361856,0.0001765751],"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":[0.0005802691,0.001838789,0.001777871,0.0007799272,0.001851273,0.00006340666,0.001537216,0.001643457,0.07437098,0.9132966,0.0000305006,0.002229729],"study_design_scores_gemma":[0.0340261,0.008077187,0.06371194,0.005763225,0.00811297,0.004188437,0.00720212,0.3901633,0.01582816,0.4581583,0.0001783655,0.004589952],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5263309,0.0002130555,0.4729,0.00005026659,0.0001852659,0.0001749763,0.00004758627,0.0000168865,0.00008104332],"genre_scores_gemma":[0.9976298,0.00009564195,0.00136042,0.000002743365,0.0003695805,0.00001429324,0.00004950909,0.00004163384,0.000436344],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4715396,"threshold_uncertainty_score":0.9999964,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402285252","doi":"10.58997/ejde.2024.50","title":"Abel quadratic differential systems of second kind","year":2024,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","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":"Agència de Gestió d'Ajuts Universitaris i de Recerca; Natural Sciences and Engineering Research Council of Canada; Agencia Estatal de Investigación; Université de Montréal","keywords":"Mathematics; Quadratic equation; Differential (mechanical device); Applied mathematics; Pure mathematics; Geometry; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.02309332238270457,"gpt":0.3030485691625264,"spread":0.2799552467798218,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004206836,0.0003341571,0.00083944,0.0005095783,0.0001389347,0.0001836069,0.0004025884,0.0001804607,0.0008277831],"category_scores_gemma":[0.000379415,0.0002608189,0.0005291463,0.000467867,0.0001029615,0.0003781272,0.00005721579,0.0007274059,0.00002015191],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003078288,"about_ca_system_score_gemma":0.000528558,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002474657,"about_ca_topic_score_gemma":0.000145054,"domain_scores_codex":[0.9962249,0.0002588168,0.001789244,0.0002743909,0.0008182679,0.000634355],"domain_scores_gemma":[0.9971136,0.001195642,0.0008040339,0.000343645,0.0003704866,0.0001725898],"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":[0.00007433117,0.0004671866,0.0000304734,0.0005487713,0.0007566214,0.000007633568,0.0004355339,0.0001856847,0.02934311,0.9659457,0.0002556811,0.001949275],"study_design_scores_gemma":[0.004136842,0.00266601,0.0007737842,0.002265409,0.002384027,0.0003009697,0.000942276,0.1749368,0.003428879,0.8054044,0.001503252,0.001257436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3532682,0.001778998,0.6429685,0.00005113273,0.001353405,0.0002838146,0.0000395863,0.00004342496,0.0002128813],"genre_scores_gemma":[0.9974243,0.00007089405,0.0003057576,0.000003295056,0.0006185321,0.00002119512,0.00002445733,0.00006031401,0.001471255],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.644156,"threshold_uncertainty_score":0.9999844,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}