{"meta":{"query_hash":"9d1feddbe82c","filters":{"venue":"Journal of Hyperbolic Differential Equations"},"cohort_total":13,"direct_labels_cover":0,"predictions_cover":13,"exported":13,"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/9d1feddbe82c","api":"https://metacan.xera.ac/api/v1/cohort?venue=Journal+of+Hyperbolic+Differential+Equations"},"results":[{"id":"W1988224607","doi":"10.1142/s0219891605000397","title":"CONTRACTIVE METRICS FOR SCALAR CONSERVATION LAWS","year":2005,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":39,"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":"Conservation law; Scalar (mathematics); Mathematics; Mathematical economics; Applied mathematics; Law; Mathematical analysis; Political science; Geometry","score_opus":0.10630881769779009,"score_gpt":0.3702452432764009,"score_spread":0.2639364255786108,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988224607","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5659234,0.0017909328,0.38658103,0.0026083675,0.00032563918,0.00008982719,0.00018787825,0.00012790097,0.042364977],"genre_scores_gemma":[0.9289632,0.0013238669,0.051475067,0.00045714193,0.00028084483,0.0001378138,0.00025016832,0.00011225198,0.016999664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958974,0.000103688595,0.000030306786,0.00008168345,0.00013479634,0.000059874874],"domain_scores_gemma":[0.99840146,0.00044592688,0.0003426783,0.00015490729,0.00030692565,0.00034804386],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010998317,0.00085716613,0.0005059313,0.0010230396,0.00095766794,0.0013700984,0.00075430685,0.0010633665,0.001984196],"category_scores_gemma":[0.0047762534,0.00035655315,0.0005584307,0.00045073498,0.0022280219,0.002794366,0.002526215,0.0012128482,0.00025112045],"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":[0.000008877519,0.000010077812,0.00020682893,0.000028710929,0.000004512353,0.000101994505,0.00011265134,0.006345068,0.0038233572,0.9866642,0.00041950538,0.0022741996],"study_design_scores_gemma":[0.000017483206,0.000051039628,0.0006581562,0.000021440002,0.000005977762,0.00024094441,0.00009249489,0.115288615,0.0014275818,0.8777125,0.0044624307,0.000021376793],"about_ca_topic_score_codex":0.0011303788,"about_ca_topic_score_gemma":0.0010383778,"teacher_disagreement_score":0.001984196,"about_ca_system_score_codex":0.0010284196,"about_ca_system_score_gemma":0.0006161442,"threshold_uncertainty_score":0.0074617267},"labels":[],"label_agreement":null},{"id":"W2032177453","doi":"10.1142/s0219891605000531","title":"COSMOLOGICAL MODELS FROM A DYNAMICAL SYSTEMS PERSPECTIVE","year":2005,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Cosmology and Gravitation Theories","field":"Physics and Astronomy","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University; University of Waterloo","funders":"","keywords":"Attractor; Dynamical systems theory; Normalization (sociology); Curvature; Perspective (graphical); Einstein field equations; Physics; Einstein; Nonlinear system; Dynamical system (definition); Mathematics; Statistical physics; Theoretical physics; Classical mechanics; Applied mathematics; Mathematical analysis; Geometry; Sociology","score_opus":0.01945752807722983,"score_gpt":0.2730931253909316,"score_spread":0.2536355973137018,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032177453","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24000855,0.011475088,0.5243719,0.042667106,0.0009958571,0.000121910096,0.000982207,0.0005816912,0.17879574],"genre_scores_gemma":[0.9195848,0.005891086,0.054843515,0.00085526134,0.00077553967,0.00014574877,0.0003572339,0.00008333846,0.017463338],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996861,0.00013324284,0.000017521099,0.000048945738,0.0000818975,0.000032320568],"domain_scores_gemma":[0.99959654,0.00012906434,0.000050427832,0.00008060889,0.00007144188,0.000071930146],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007389879,0.0006376982,0.0006223097,0.0008191433,0.00076482055,0.0022010615,0.0011252611,0.0013483225,0.0028253493],"category_scores_gemma":[0.0013940246,0.00024564005,0.0006483547,0.00055167964,0.0016020691,0.0044823335,0.001229793,0.0018963189,0.00030634177],"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":[0.0000017302547,0.0000044411217,0.0001063326,0.000010899687,0.000007121381,0.000017640115,0.000056417695,0.007626932,0.00017398452,0.9907094,0.00036407405,0.0009210208],"study_design_scores_gemma":[0.0000044852663,0.000007833178,0.00012034354,0.000011734482,0.000004549057,0.000024128807,0.000053285523,0.03641416,0.00008331932,0.95887536,0.004393736,0.000007049265],"about_ca_topic_score_codex":0.0022407242,"about_ca_topic_score_gemma":0.0017148694,"teacher_disagreement_score":0.0028253493,"about_ca_system_score_codex":0.0010087951,"about_ca_system_score_gemma":0.00062043325,"threshold_uncertainty_score":0.009451747},"labels":[],"label_agreement":null},{"id":"W2050481240","doi":"10.1142/s0219891607001239","title":"MECHANISMS FOR ERROR PROPAGATION AND CANCELLATION IN GLIMM'S SCHEME WITHOUT RAREFACTIONS","year":2007,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Polytechnique Montréal","funders":"National Science Council","keywords":"Classification of discontinuities; Conservation law; Bounded function; Propagation of uncertainty; Error analysis; Mathematics; Norm (philosophy); Applied mathematics; Scalar (mathematics); Shock wave; Mathematical analysis; Algorithm; Physics; Mechanics; Geometry","score_opus":0.08393642726595738,"score_gpt":0.3726387206140764,"score_spread":0.28870229334811903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050481240","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.030391237,0.00031902903,0.9640053,0.00040760663,0.00012119224,0.00007896719,0.000038387112,0.0004101492,0.004228152],"genre_scores_gemma":[0.60041094,0.00045307106,0.38743624,0.0003949902,0.0001618338,0.0003588978,0.000117292795,0.00052168703,0.010145025],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958103,0.00092050177,0.00023704964,0.00025287428,0.0024915584,0.0002876508],"domain_scores_gemma":[0.988366,0.005970545,0.001369289,0.0019210158,0.0019985435,0.000374636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0073462822,0.0014700615,0.0012253193,0.0016608379,0.0010399092,0.0017777763,0.0022249382,0.0021010241,0.0027205842],"category_scores_gemma":[0.024591485,0.0007273708,0.0009569086,0.00062564533,0.0023538698,0.0027512698,0.006015311,0.0023740907,0.00062771013],"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":[0.0010391752,0.00014288734,0.0028084782,0.00047766007,0.00012198722,0.00064700085,0.0011033178,0.26321307,0.04464888,0.6072296,0.0021758284,0.07639219],"study_design_scores_gemma":[0.00004479949,0.00011424239,0.00027973074,0.000060259816,0.000020609248,0.0001498442,0.00003122799,0.93473166,0.014008142,0.04859278,0.0019159218,0.00005069877],"about_ca_topic_score_codex":0.0011433722,"about_ca_topic_score_gemma":0.00073706114,"teacher_disagreement_score":0.0073462822,"about_ca_system_score_codex":0.0010799782,"about_ca_system_score_gemma":0.00097391394,"threshold_uncertainty_score":0.03885132},"labels":[],"label_agreement":null},{"id":"W2077796488","doi":"10.1142/s0219891614500258","title":"New tensorial estimates in Besov spaces for time-dependent (2 + 1)-dimensional problems","year":2014,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":4,"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 Toronto","funders":"","keywords":"Curvature; Null (SQL); Foliation (geology); Einstein; Spacetime; Mathematical proof; TRACE (psycholinguistics); Energy condition; Infinity","score_opus":0.04515293068497382,"score_gpt":0.31495490748371446,"score_spread":0.26980197679874063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077796488","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09521965,0.006510331,0.84568286,0.0050229123,0.0009690679,0.000126591,0.0004912065,0.0002045999,0.045772843],"genre_scores_gemma":[0.6500893,0.0060383156,0.30064756,0.0015778303,0.00288149,0.00038810255,0.0010297158,0.00049676857,0.036850844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99762076,0.0010452985,0.00015148603,0.0002876762,0.00069623394,0.00019859514],"domain_scores_gemma":[0.9933385,0.0026038152,0.0010153321,0.0004117929,0.0013955212,0.0012350458],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006303,0.0022742276,0.0009901489,0.0039986577,0.0014733046,0.0031238194,0.001669471,0.0018315563,0.0041748234],"category_scores_gemma":[0.011533443,0.00062072487,0.0015260456,0.0015585574,0.0046008443,0.0111272475,0.0046220534,0.004315499,0.0005407167],"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":[0.000015237841,0.000012411691,0.00028884824,0.00007988558,0.0000135499995,0.000058119556,0.00019187605,0.003999187,0.00092667976,0.9912519,0.0007855776,0.0023767021],"study_design_scores_gemma":[0.000007193179,0.00006079102,0.00044474413,0.000054579366,0.000017551378,0.00009135435,0.00018924494,0.08267585,0.00058550114,0.9101262,0.005710102,0.000036878333],"about_ca_topic_score_codex":0.001786914,"about_ca_topic_score_gemma":0.001967931,"teacher_disagreement_score":0.006303,"about_ca_system_score_codex":0.0023494721,"about_ca_system_score_gemma":0.0010993221,"threshold_uncertainty_score":0.033333838},"labels":[],"label_agreement":null},{"id":"W2096591605","doi":"10.1142/s0219891612500208","title":"MORAWETZ AND INTERACTION MORAWETZ ESTIMATES FOR A QUASILINEAR SCHRÖDINGER EQUATION","year":2012,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","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":"McMaster University","funders":"Chinese University of Hong Kong","keywords":"Class (philosophy); Physics; Schrödinger equation; Space (punctuation); Energy (signal processing); Mathematics; Computer science; Quantum mechanics; Artificial intelligence","score_opus":0.11920390464686464,"score_gpt":0.3797497042961818,"score_spread":0.2605457996493172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096591605","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36385888,0.0032174387,0.525766,0.008377168,0.0005142818,0.000058236234,0.00035291672,0.00030639226,0.09754867],"genre_scores_gemma":[0.9417151,0.0019176936,0.026241167,0.0008580854,0.0008202875,0.00011589048,0.00022849294,0.00012379246,0.027979475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996093,0.00008827292,0.000021358788,0.000035908484,0.0001884866,0.00005668939],"domain_scores_gemma":[0.9985487,0.0005536179,0.0002217833,0.00011727598,0.00039302302,0.00016553604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011688498,0.0005142081,0.00048781457,0.0020149462,0.00084553135,0.0013446952,0.0007629156,0.0006383105,0.004089965],"category_scores_gemma":[0.0021540124,0.0002154131,0.000767586,0.0005548716,0.0014984253,0.0028655669,0.0020820403,0.0019912138,0.0004259796],"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":[0.00000981319,0.000011867985,0.00021381644,0.000034201264,0.00001050962,0.00007492511,0.00010121457,0.0023101473,0.0022909543,0.9924027,0.00080107566,0.0017388419],"study_design_scores_gemma":[0.000011235811,0.00003016423,0.0012441737,0.000022497323,0.000016978112,0.00019382522,0.00010930737,0.08619161,0.0014515046,0.9066319,0.004066969,0.000029856197],"about_ca_topic_score_codex":0.0013903201,"about_ca_topic_score_gemma":0.00083377276,"teacher_disagreement_score":0.004089965,"about_ca_system_score_codex":0.0011689801,"about_ca_system_score_gemma":0.0008718494,"threshold_uncertainty_score":0.013682246},"labels":[],"label_agreement":null},{"id":"W2106686547","doi":"10.1142/s0219891614500106","title":"Stability of multi-solitons in the cubic NLS equation","year":2014,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":23,"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":"Stability (learning theory); Transformation (genetics); Nonlinear Schrödinger equation; Space (punctuation); Nonlinear system; Line (geometry); NLS; Mathematical analysis; Inverse; Mathematics; Scattering; Physics; Inverse scattering transform; Mathematical physics; Inverse scattering problem; Schrödinger equation; Inverse problem; Quantum mechanics; Geometry; Computer science; Chemistry","score_opus":0.13388005263397643,"score_gpt":0.35370606836725926,"score_spread":0.21982601573328284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2106686547","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92697054,0.00030143396,0.05870794,0.00094628095,0.00007220078,0.00003468248,0.00007650471,0.00008142945,0.012808965],"genre_scores_gemma":[0.9905122,0.0000881858,0.0049641053,0.00006726055,0.000028828705,0.00002602165,0.000042783056,0.000016845728,0.004253749],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998605,0.000027014088,0.000007672211,0.000017424218,0.00005605382,0.000031352523],"domain_scores_gemma":[0.99967647,0.00008378657,0.00006850294,0.000027942719,0.00008849642,0.000054698598],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031594827,0.00027775965,0.00035713386,0.0006118926,0.0007501877,0.0008086421,0.0005125419,0.0006624092,0.0013722073],"category_scores_gemma":[0.0010221846,0.0001518751,0.00032181523,0.0003558253,0.0012501612,0.0009124928,0.0011818914,0.0006664206,0.00015050941],"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":[0.00041151297,0.000102789294,0.004609039,0.00020479792,0.00004918751,0.0011915247,0.0010525798,0.1067482,0.108862266,0.7589292,0.0019355338,0.015903458],"study_design_scores_gemma":[0.000053527256,0.00006514381,0.0013713292,0.000018669498,0.000009567382,0.00032139977,0.00026647316,0.8401152,0.0053036325,0.15168737,0.0007413187,0.000046468],"about_ca_topic_score_codex":0.0023511695,"about_ca_topic_score_gemma":0.0013744739,"teacher_disagreement_score":0.0023511695,"about_ca_system_score_codex":0.0005937101,"about_ca_system_score_gemma":0.0005674985,"threshold_uncertainty_score":0.004674971},"labels":[],"label_agreement":null},{"id":"W2107116788","doi":"10.1142/s0219891606000859","title":"TRANSONIC REGULAR REFLECTION FOR THE NONLINEAR WAVE SYSTEM","year":2006,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":19,"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":"National Science Foundation","keywords":"Transonic; Reflection (computer programming); Nonlinear system; Physics; Mechanics; Geology; Acoustics; Mathematics; Computer science","score_opus":0.08782063307587502,"score_gpt":0.34863872804565793,"score_spread":0.2608180949697829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107116788","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70654976,0.00029607644,0.27077013,0.000953666,0.00012854033,0.00011311032,0.0001896803,0.0002012861,0.020797841],"genre_scores_gemma":[0.96352947,0.00023769446,0.023253947,0.0001362096,0.00005308569,0.000083353116,0.00022870304,0.00013553114,0.012341958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995994,0.00010220975,0.000021110305,0.00006778749,0.00012261287,0.00008696902],"domain_scores_gemma":[0.99928707,0.00016403697,0.00020410506,0.000092761176,0.00013273722,0.00011945467],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086689537,0.0009215754,0.0007595942,0.0007565244,0.000565771,0.0016590988,0.0010831909,0.001278945,0.0045862645],"category_scores_gemma":[0.002597683,0.0003654865,0.000945487,0.0002371638,0.0016986367,0.001605482,0.0028506482,0.0015726943,0.00066145754],"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":[0.00044126058,0.0002576844,0.0042029894,0.00030170692,0.00011355151,0.0024604297,0.0009931265,0.23323193,0.05952244,0.6857363,0.0020981815,0.010640431],"study_design_scores_gemma":[0.00011665318,0.00021467102,0.00068688893,0.000035702764,0.000024321827,0.0005064096,0.00050330465,0.8967462,0.008400083,0.09153361,0.0011710254,0.000061133],"about_ca_topic_score_codex":0.0014557658,"about_ca_topic_score_gemma":0.0007682611,"teacher_disagreement_score":0.0045862645,"about_ca_system_score_codex":0.00075155165,"about_ca_system_score_gemma":0.0004984052,"threshold_uncertainty_score":0.015342534},"labels":[],"label_agreement":null},{"id":"W2124813342","doi":"10.1142/s0219891605000506","title":"NULL SURFACES AND CONTACT GEOMETRY","year":2005,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":4,"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":"Differential geometry; Conformal map; Null (SQL); Einstein; Mathematics; Geometry; Contact geometry; Geometric analysis; General relativity; Conformal geometry; Space (punctuation); Differential (mechanical device); Einstein field equations; Mathematical analysis; Physics; Differential equation; Conformal field theory; Ordinary differential equation; Computer science; Mathematical physics","score_opus":0.009689003264211292,"score_gpt":0.24378245954832833,"score_spread":0.23409345628411704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124813342","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52250266,0.002679523,0.18926492,0.003271609,0.0002935756,0.000043077467,0.00017880872,0.00027928647,0.28148657],"genre_scores_gemma":[0.9847728,0.0005950374,0.0058394666,0.000108246706,0.00012072408,0.000012941548,0.00007470466,0.000037823975,0.008438243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996873,0.000060508042,0.000014018953,0.000053543594,0.00013911218,0.00004548682],"domain_scores_gemma":[0.9995704,0.00010389812,0.00006810096,0.000092502094,0.00009299806,0.00007201694],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034596224,0.00031970948,0.00024927268,0.0010691233,0.001051695,0.0014926915,0.0004713772,0.0007095017,0.004438971],"category_scores_gemma":[0.0009862046,0.00016347998,0.0003076762,0.00041126704,0.0031296483,0.0032229589,0.0018466418,0.0008168135,0.00044247357],"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":[0.0000020048828,0.0000016943809,0.00010316869,0.0000050021054,0.0000011286073,0.00004774115,0.00010566856,0.00021382065,0.0003172635,0.997823,0.00023064468,0.0011489816],"study_design_scores_gemma":[0.0000033700974,0.000011560227,0.0004489893,0.000006136277,0.0000025148454,0.00031577723,0.0001276218,0.003466749,0.0005088006,0.9852328,0.009870571,0.0000051794145],"about_ca_topic_score_codex":0.00047527067,"about_ca_topic_score_gemma":0.00024625045,"teacher_disagreement_score":0.004438971,"about_ca_system_score_codex":0.00058033783,"about_ca_system_score_gemma":0.00021902483,"threshold_uncertainty_score":0.014849842},"labels":[],"label_agreement":null},{"id":"W2164914390","doi":"10.1142/s0219891607001288","title":"MASS CONCENTRATION WINDOW SIZE AND STRICHARTZ NORM DIVERGENCE RATE FOR THE L<sup>2</sup>-CRITICAL NONLINEAR SHRÖDINGER EQUATION","year":2007,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":4,"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 Toronto","funders":"","keywords":"Divergence (linguistics); Nonlinear system; Norm (philosophy); Mathematics; Physics; Schrödinger equation; Mathematical physics; Mathematical analysis; Quantum mechanics","score_opus":0.056263621523592176,"score_gpt":0.33531129089557105,"score_spread":0.2790476693719789,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2164914390","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75156844,0.0030564223,0.22053853,0.003258505,0.0003583621,0.000067305285,0.00013231784,0.0004623304,0.02055779],"genre_scores_gemma":[0.98452616,0.0007304263,0.011207621,0.00015001852,0.00018740873,0.000052544114,0.00004654955,0.000104578,0.0029945248],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999721,0.000077674405,0.000021961243,0.000051908723,0.00007702798,0.000050511608],"domain_scores_gemma":[0.99564016,0.0024136067,0.00075280986,0.00026432413,0.00044180854,0.00048725825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019513376,0.00067084807,0.0008023871,0.001329976,0.0006157541,0.0015730889,0.0011372918,0.0013814317,0.002315655],"category_scores_gemma":[0.010126683,0.000309711,0.0005391953,0.00039933433,0.0022412904,0.0038520868,0.0017980771,0.0020378162,0.00023343814],"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":[0.00030346392,0.0000790973,0.0027207949,0.00022153705,0.000031837488,0.00081312796,0.00060853094,0.037577864,0.045352824,0.9008352,0.0014088032,0.010046824],"study_design_scores_gemma":[0.000057669327,0.00018386726,0.002433033,0.000067764566,0.000037487014,0.0005712586,0.00016359171,0.58599514,0.014085411,0.39504173,0.0012590243,0.00010390948],"about_ca_topic_score_codex":0.0006554108,"about_ca_topic_score_gemma":0.00024147164,"teacher_disagreement_score":0.002315655,"about_ca_system_score_codex":0.0011458555,"about_ca_system_score_gemma":0.00054253393,"threshold_uncertainty_score":0.010319769},"labels":[],"label_agreement":null},{"id":"W2780307680","doi":"10.1142/s0219891619500012","title":"Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity","year":2019,"lang":"en","type":"preprint","venue":"Journal of Hyperbolic Differential Equations","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","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 Toronto","funders":"","keywords":"Logarithm; Physics; Infinity; Constant (computer programming); Null (SQL); Mathematical physics; Schwarzschild radius; Field (mathematics); Order (exchange); Asymptotic expansion; Quantum electrodynamics; Mathematical analysis; Quantum mechanics; Mathematics; Spacetime; Pure mathematics","score_opus":0.01882997912010208,"score_gpt":0.2761136030923571,"score_spread":0.257283623972255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2780307680","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4757518,0.003633837,0.42676046,0.00304484,0.0009096218,0.00016763741,0.00023039737,0.0031628339,0.086338624],"genre_scores_gemma":[0.9101374,0.002166684,0.045296047,0.0005323661,0.0004805071,0.000122020596,0.00023844195,0.0010884935,0.03993805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996841,0.000091391055,0.00002354883,0.000042983156,0.00010878863,0.00004913271],"domain_scores_gemma":[0.9983961,0.0004156208,0.00043127043,0.00020098951,0.00025786384,0.00029809494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009837783,0.0022707582,0.000627169,0.0024327568,0.0006710671,0.001276789,0.0015978257,0.00091193826,0.005779433],"category_scores_gemma":[0.005913625,0.0003178677,0.0013774852,0.0005463481,0.0020146365,0.0030747645,0.0017851407,0.0025362305,0.0015948168],"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":[0.00020842461,0.00014213323,0.0038847136,0.00063942175,0.00008183724,0.0025490355,0.0014038311,0.025399169,0.06762272,0.8747295,0.0023480095,0.020991184],"study_design_scores_gemma":[0.00006143179,0.00021644095,0.009975426,0.0003373724,0.00011104347,0.0027875744,0.0003310555,0.34533843,0.022936238,0.61014163,0.0075635933,0.00019979688],"about_ca_topic_score_codex":0.0010781289,"about_ca_topic_score_gemma":0.0013555385,"teacher_disagreement_score":0.005779433,"about_ca_system_score_codex":0.0011620938,"about_ca_system_score_gemma":0.00065690884,"threshold_uncertainty_score":0.019334197},"labels":[],"label_agreement":null},{"id":"W2963368087","doi":"10.1142/s0219891610002104","title":"NUMERICAL SIMULATIONS OF THE ENERGY-SUPERCRITICAL NONLINEAR SCHRÖDINGER EQUATION","year":2010,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":12,"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 Toronto","funders":"","keywords":"Sobolev space; Mathematics; Bounded function; Nonlinear system; Norm (philosophy); Supercritical fluid; Mathematical analysis; Nonlinear Schrödinger equation; Schrödinger equation; Physics; Quantum mechanics","score_opus":0.04602680274746479,"score_gpt":0.3223524037648181,"score_spread":0.2763256010173533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963368087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9891762,0.00009932123,0.0035072078,0.0003051174,0.000036000936,0.000038441693,0.00019993418,0.00009073139,0.006547089],"genre_scores_gemma":[0.9953312,0.000051123967,0.003491261,0.000046774338,0.000007881413,0.000042785636,0.0001777423,0.000023063385,0.0008282324],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99978036,0.000043133325,0.00001657349,0.00002472471,0.00007144821,0.00006389282],"domain_scores_gemma":[0.99868006,0.00074665854,0.00012527351,0.00008718203,0.00021479087,0.0001461246],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041444352,0.0004173671,0.00079209026,0.00053350494,0.0007409885,0.00062414363,0.0009930435,0.0012239657,0.0022788176],"category_scores_gemma":[0.002224081,0.0002578697,0.00039606856,0.0008293461,0.0010839604,0.00064050895,0.00072651595,0.0010256721,0.000111854504],"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":[0.00029682877,0.000326735,0.0058505298,0.000097411044,0.00006821263,0.00038860066,0.00046970398,0.9692161,0.0080383085,0.010539333,0.00071405276,0.0039941478],"study_design_scores_gemma":[0.000039979965,0.00007102583,0.00090657425,0.000010742129,0.000008718094,0.000023239649,0.00010212718,0.99560416,0.0017491416,0.0011220789,0.00034961238,0.000012695075],"about_ca_topic_score_codex":0.009851879,"about_ca_topic_score_gemma":0.0062447055,"teacher_disagreement_score":0.009851879,"about_ca_system_score_codex":0.00085138466,"about_ca_system_score_gemma":0.0007338231,"threshold_uncertainty_score":0.019589067},"labels":[],"label_agreement":null},{"id":"W2963602950","doi":"10.1142/s0219891609001927","title":"ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS","year":2009,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":59,"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 Toronto","funders":"","keywords":"Supercritical fluid; Nonlinear system; Space (punctuation); Initial value problem; Exponential function; Mathematics; Physics; Exponential growth; Energy (signal processing); Mathematical analysis; Quantum mechanics; Thermodynamics; Computer science","score_opus":0.046371409586919314,"score_gpt":0.37289990912477633,"score_spread":0.326528499537857,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963602950","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9092957,0.0012263214,0.040896725,0.0016700135,0.00007894207,0.000098757795,0.000110270776,0.00028792952,0.04633539],"genre_scores_gemma":[0.99344856,0.00020189106,0.0024440084,0.00010306336,0.000038077807,0.000039821338,0.000045115656,0.000022979226,0.0036564774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998565,0.000029533716,0.000008909982,0.000019415973,0.00004038771,0.000045229244],"domain_scores_gemma":[0.99917066,0.00033178082,0.00017702741,0.00003974524,0.00013075472,0.0001500874],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045490352,0.0005867872,0.0006382433,0.0014909393,0.0010275578,0.0015059578,0.0005577844,0.0012257607,0.003243943],"category_scores_gemma":[0.002114836,0.0003472177,0.0003332972,0.00041058482,0.0024065846,0.0018498411,0.002299584,0.0009701955,0.0002519118],"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":[0.0005311839,0.00023507784,0.004651074,0.00046818628,0.00008568056,0.002730435,0.0009929016,0.20035525,0.029556818,0.7493618,0.0024552573,0.008576313],"study_design_scores_gemma":[0.00014672687,0.00013292025,0.0031511348,0.00007028554,0.000029354442,0.0004178148,0.00046030644,0.657574,0.0038110737,0.33225456,0.0018759441,0.00007580245],"about_ca_topic_score_codex":0.0024466957,"about_ca_topic_score_gemma":0.0011594832,"teacher_disagreement_score":0.003243943,"about_ca_system_score_codex":0.001081638,"about_ca_system_score_gemma":0.0005106148,"threshold_uncertainty_score":0.010852098},"labels":[],"label_agreement":null},{"id":"W2964216780","doi":"10.1142/s0219891613500185","title":"LOWER BOUND FOR THE RATE OF BLOW-UP OF SINGULAR SOLUTIONS OF THE ZAKHAROV SYSTEM IN ℝ<sup>3</sup>","year":2013,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Advanced Mathematical Physics Problems","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 Toronto","funders":"","keywords":"Mathematics; Initial value problem; Cauchy problem; Sobolev space; Mathematical physics; Nonlinear system; Scalar (mathematics); Context (archaeology); Upper and lower bounds; Mathematical analysis; Physics; Quantum mechanics; Geometry","score_opus":0.04681949582459373,"score_gpt":0.2887630836503033,"score_spread":0.24194358782570957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964216780","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5872459,0.0067082914,0.3706293,0.003955307,0.0005339547,0.0001742278,0.00034614722,0.0008884418,0.02951845],"genre_scores_gemma":[0.96505606,0.0022694403,0.02253077,0.0002466515,0.00021294791,0.0001769513,0.00035734085,0.0003596954,0.00879009],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923193,0.00023486909,0.000055586243,0.000121507204,0.00017313901,0.00018287104],"domain_scores_gemma":[0.9898769,0.005499819,0.0013371903,0.00067373784,0.0013909838,0.0012213133],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004166917,0.0015017578,0.0014279608,0.0018732453,0.0014120855,0.0018396492,0.0016879933,0.0019645258,0.0050514233],"category_scores_gemma":[0.014817749,0.0005332281,0.0017061594,0.00036460935,0.0020165595,0.0031613128,0.0033092361,0.0034652837,0.000558923],"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":[0.0011990715,0.00022545685,0.0112695275,0.001775525,0.00034330608,0.002704991,0.0018541677,0.17917083,0.09460429,0.6640702,0.0054105185,0.0373721],"study_design_scores_gemma":[0.000025075366,0.00022701058,0.0027434996,0.0001863021,0.00008361429,0.0006750443,0.00034476526,0.8777458,0.021897519,0.093740225,0.0022193913,0.00011179624],"about_ca_topic_score_codex":0.0010098664,"about_ca_topic_score_gemma":0.00051100727,"teacher_disagreement_score":0.0050514233,"about_ca_system_score_codex":0.0015201226,"about_ca_system_score_gemma":0.00077704014,"threshold_uncertainty_score":0.02203703},"labels":[],"label_agreement":null}]}