{"meta":{"query_hash":"405c10a928e4","filters":{"venue":"Advances in Pure and Applied Mathematics"},"cohort_total":6,"direct_labels_cover":0,"predictions_cover":6,"exported":6,"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/405c10a928e4","api":"https://metacan.xera.ac/api/v1/cohort?venue=Advances+in+Pure+and+Applied+Mathematics"},"results":[{"id":"W2002340571","doi":"10.1515/apam-2013-0010","title":"Boolean sum of graphs and reconstruction up to complementation","year":2013,"lang":"en","type":"article","venue":"Advances in Pure and Applied Mathematics","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":10,"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 Calgary","funders":"","keywords":"Complementation; Combinatorics; Vertex (graph theory); Discrete mathematics; Mathematics; Graph; Integer (computer science); Computer science; Genetics; Biology; Phenotype","score_opus":0.012799257943823921,"score_gpt":0.2607504125233438,"score_spread":0.24795115457951988,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002340571","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":[0.49334955,0.00048658575,0.50241315,0.00035435404,0.00007627968,0.00033589933,0.0000065541726,0.000034019573,0.0029436424],"genre_scores_gemma":[0.75162596,0.00034720145,0.2478944,0.00007728248,0.000004240308,0.000022618042,0.0000026253326,0.0000017138564,0.000023936287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994938,0.0000043769564,0.00019180254,0.00014320081,0.00008032879,0.00008652202],"domain_scores_gemma":[0.9996747,0.00007500055,0.00007334385,0.00012279885,0.000017835038,0.00003635217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0000886274,0.000058479567,0.00014090724,0.00013087067,0.000028657809,0.000031668147,0.00012047892,0.00001851542,0.000015899466],"category_scores_gemma":[0.000014015202,0.00004474574,0.000010482815,0.0004340275,0.000043693657,0.00026763574,0.00008867642,0.000032466578,0.0000043512973],"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":[0.000001053668,0.000024142288,0.0005900161,0.0000546979,0.0000059334598,1.4043992e-7,0.000533792,0.000024380519,0.0005290464,0.5671904,0.00007669352,0.43096972],"study_design_scores_gemma":[0.0002519124,0.000059433667,0.0017356583,0.00002422032,0.000010421439,0.000008010769,0.001566588,0.0025159114,0.0014601323,0.9914467,0.0007920843,0.00012893528],"about_ca_topic_score_codex":0.0000073938786,"about_ca_topic_score_gemma":0.000013676715,"teacher_disagreement_score":0.43084076,"about_ca_system_score_codex":0.0000031871114,"about_ca_system_score_gemma":0.0000021861067,"threshold_uncertainty_score":0.18246783},"labels":[],"label_agreement":null},{"id":"W2036337950","doi":"10.1515/apam.2010.033","title":"Lax's difference scheme for a system of two equations in the quarter plane","year":2010,"lang":"en","type":"article","venue":"Advances in Pure and Applied Mathematics","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":0,"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; Conservation law; Quarter (Canadian coin); Scalar (mathematics); Plane (geometry); Limit (mathematics); Transformation (genetics); Scheme (mathematics); Mathematical analysis; Lax pair; Complex plane; Pure mathematics; Geometry; Integrable system","score_opus":0.033021745663350255,"score_gpt":0.3320378386279952,"score_spread":0.29901609296464493,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036337950","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":[0.41607803,0.00037964142,0.56470823,0.00038717364,0.00021601174,0.0030226253,0.00011606326,0.00009104075,0.0150011815],"genre_scores_gemma":[0.82381815,0.000015401572,0.17559576,0.000022489821,0.00003965737,0.00045991747,0.000009137708,0.000013370748,0.000026127094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998864,0.000018788496,0.0005415602,0.00016583892,0.00021010704,0.00019970683],"domain_scores_gemma":[0.9971192,0.0022017,0.00024330993,0.00036426107,0.00004410287,0.00002740895],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006289113,0.00014468707,0.0003141646,0.000099164754,0.00007253713,0.00002223998,0.0002367631,0.0000761804,0.0000065005484],"category_scores_gemma":[0.00022234369,0.000104403625,0.000037068272,0.00023306094,0.0000971224,0.00009356252,0.000028831491,0.00022728619,0.0000035314004],"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":[0.000005810783,0.00016844967,0.00009400519,0.00063369406,0.000005411236,4.0008467e-7,0.0027732584,0.000012948015,0.0027165057,0.99278504,0.000036585716,0.00076789723],"study_design_scores_gemma":[0.0013659667,0.000040430896,0.000060985236,0.00021892793,0.000041247346,0.000012575132,0.0063861143,0.00929049,0.00088373775,0.9808913,0.0005970559,0.0002111855],"about_ca_topic_score_codex":0.000001816043,"about_ca_topic_score_gemma":0.00031612278,"teacher_disagreement_score":0.40774012,"about_ca_system_score_codex":0.000016304057,"about_ca_system_score_gemma":0.000023847475,"threshold_uncertainty_score":0.42574564},"labels":[],"label_agreement":null},{"id":"W2044185334","doi":"10.1515/apam-2014-0038","title":"The one-dimensional heat equation in the Alexiewicz norm","year":2015,"lang":"en","type":"preprint","venue":"Advances in Pure and Applied Mathematics","topic":"Functional Equations Stability Results","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":"University of the Fraser Valley","funders":"","keywords":"Heat equation; Bounded function; Infimum and supremum; Sobolev space; Integrable system; Mathematics; Norm (philosophy); Real line; Mathematical analysis; Square-integrable function; Banach space; Continuous function (set theory); Mathematical physics; Combinatorics; Function (biology)","score_opus":0.07325057321537347,"score_gpt":0.3279196687423501,"score_spread":0.25466909552697664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044185334","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":[0.6409091,0.037513055,0.05968043,0.021588003,0.0032167241,0.022668978,0.00047984056,0.0005987661,0.21334514],"genre_scores_gemma":[0.81634086,0.002780419,0.17582236,0.0005495368,0.00063481496,0.0030100818,0.0002859898,0.0001525924,0.0004233048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973573,0.0000923118,0.0009326966,0.00043943356,0.0008521467,0.00032608592],"domain_scores_gemma":[0.9942152,0.004446618,0.00029433705,0.0008577076,0.00013628554,0.00004985643],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027777194,0.0003471055,0.00049005286,0.000106197396,0.00019096036,0.00012319046,0.00051500986,0.00025569907,0.000009673159],"category_scores_gemma":[0.0011117142,0.00021528776,0.00006869522,0.0002824223,0.00022738933,0.00013095669,0.0003954397,0.0008686432,0.000018022161],"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":[0.00008751432,0.000660848,0.000043083564,0.0010942698,0.000034787052,0.0000024781007,0.0052361884,0.010089078,0.00002892051,0.9773658,0.0008688092,0.004488247],"study_design_scores_gemma":[0.00048183094,0.00002630422,0.00003501212,0.00026706167,0.00004506317,0.0000074776885,0.0015156511,0.008963418,0.000037127673,0.9863653,0.002014087,0.000241662],"about_ca_topic_score_codex":0.000009438165,"about_ca_topic_score_gemma":0.0007505984,"teacher_disagreement_score":0.21292183,"about_ca_system_score_codex":0.00017691689,"about_ca_system_score_gemma":0.00016717521,"threshold_uncertainty_score":0.877918},"labels":[],"label_agreement":null},{"id":"W2264542135","doi":"10.1515/apam-2015-5001","title":"Geometric and harmonic analysis on homogeneous spaces and applications: Hammamet, December 2013","year":2015,"lang":"en","type":"article","venue":"Advances in Pure and Applied Mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Homogeneous; Mathematics; Mathematical analysis; Combinatorics","score_opus":0.01562445204504201,"score_gpt":0.2593326154298477,"score_spread":0.2437081633848057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2264542135","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":[0.020177417,0.008394678,0.96953636,0.000082647224,0.000020458132,0.000317414,0.0000017148172,0.000088164416,0.0013811288],"genre_scores_gemma":[0.39160523,0.002653206,0.6054557,0.000054656717,0.000022895063,0.00016035113,0.0000012786917,0.000015621867,0.000031050986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988303,0.0000066647576,0.0002946994,0.00040893522,0.00022159964,0.00023776853],"domain_scores_gemma":[0.9989053,0.0004025853,0.0001043233,0.00040245915,0.000034719735,0.00015062028],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025196778,0.00020250848,0.00037442325,0.00037791184,0.000057296456,0.00010986248,0.00022960363,0.000065074906,9.164173e-7],"category_scores_gemma":[0.00006598611,0.00017348777,0.000023434455,0.0010776044,0.000078568104,0.00027179485,0.00019401222,0.00013809945,0.000005616857],"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":[0.000007366288,0.00021004252,0.00014487129,0.00045054895,0.000099018005,0.000007652831,0.0011117455,0.115710974,0.000084800144,0.75562185,0.000037230915,0.12651388],"study_design_scores_gemma":[0.0005582858,0.00007336626,0.000045640856,0.000063440144,0.00012694873,0.000039505394,0.00033484166,0.36501232,0.0004988356,0.62970686,0.0030523483,0.00048760814],"about_ca_topic_score_codex":9.1765787e-7,"about_ca_topic_score_gemma":0.0000103798375,"teacher_disagreement_score":0.3714278,"about_ca_system_score_codex":0.000025371399,"about_ca_system_score_gemma":0.00001047283,"threshold_uncertainty_score":0.7074626},"labels":[],"label_agreement":null},{"id":"W2338547856","doi":"10.1515/apam-2015-0050","title":"An analogue to the Duistermaat–Kolk–Varadarajan estimate for the spherical functions associated with the root systems of type A","year":2016,"lang":"en","type":"article","venue":"Advances in Pure and Applied Mathematics","topic":"Mathematical functions and polynomials","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":"Laurentian University","funders":"","keywords":"Mathematics; Root (linguistics); Type (biology); Pure mathematics; Mathematical analysis","score_opus":0.025215180694750334,"score_gpt":0.30628892922412043,"score_spread":0.2810737485293701,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2338547856","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":[0.106572255,0.00095599535,0.8797492,0.0032211165,0.00042521532,0.003921209,0.00018328188,0.00010683133,0.004864901],"genre_scores_gemma":[0.9807805,0.000060145405,0.017160833,0.00012340341,0.00020072643,0.00076094485,0.0000061829373,0.000054973432,0.0008523255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987448,0.0000451953,0.00047199253,0.00021240494,0.0002454471,0.00028014797],"domain_scores_gemma":[0.9942627,0.004677914,0.00027363637,0.00061756786,0.00010312729,0.000065074106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087203,0.00021477169,0.0004162491,0.000039884297,0.00027457305,0.00006089286,0.0003493705,0.00007429626,0.000024183506],"category_scores_gemma":[0.0004365353,0.00007555256,0.00005113084,0.00040886758,0.00019651667,0.0000917179,0.000051696734,0.00011592799,0.000007749723],"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":[0.0001954714,0.0005351422,0.00015262689,0.0005610706,0.00020634958,0.0000011795464,0.00218839,0.001475554,0.0008248993,0.97954464,0.0067926324,0.0075220694],"study_design_scores_gemma":[0.0059928186,0.0031059708,0.0009730477,0.0031207378,0.0025217924,0.00015104662,0.021294579,0.02958327,0.0019158722,0.72616804,0.2029518,0.0022210265],"about_ca_topic_score_codex":0.0000032319015,"about_ca_topic_score_gemma":0.00030290964,"teacher_disagreement_score":0.8742082,"about_ca_system_score_codex":0.000026770913,"about_ca_system_score_gemma":0.000031440795,"threshold_uncertainty_score":0.30809438},"labels":[],"label_agreement":null},{"id":"W2612875533","doi":"10.1515/apam-2016-0084","title":"A priori error analysis of the implicit Euler, spectral discretization of a nonlinear equation for a flow in a partially saturated porous media","year":2017,"lang":"en","type":"article","venue":"Advances in Pure and Applied Mathematics","topic":"Numerical methods in inverse 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":"Université Laval","funders":"","keywords":"Discretization; Mathematics; Backward Euler method; Nonlinear system; A priori and a posteriori; Porous medium; Flow (mathematics); Numerical analysis; Euler's formula; Mathematical analysis; Richards equation; Euler equations; Euler method; Applied mathematics; Discretization of continuous features; Discretization error; Porosity; Geometry","score_opus":0.049090646344815615,"score_gpt":0.3559978877484979,"score_spread":0.30690724140368225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2612875533","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":[0.3878434,0.00028243876,0.6076681,0.00024514497,0.00020793061,0.0021887242,0.00012584179,0.000031231164,0.0014071665],"genre_scores_gemma":[0.40918884,0.00009051407,0.59057724,0.00000834135,0.00002097693,0.00008494666,0.000007744819,0.000016018701,0.0000053865815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856997,0.00003276721,0.0007489062,0.00021523332,0.00023580801,0.00019729853],"domain_scores_gemma":[0.9973469,0.001115741,0.0009202394,0.0005195766,0.000068236724,0.000029343244],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067792146,0.000162,0.00064537354,0.00013423502,0.000067846246,0.000022225993,0.00030892182,0.00010099737,0.0000047788467],"category_scores_gemma":[0.0019206991,0.00011428453,0.000094949944,0.00046112103,0.00017473448,0.00013538534,0.00008912557,0.0001277046,1.7089604e-7],"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":[0.00026101642,0.0008877016,0.0043082135,0.0025006242,0.00038339494,0.000001455505,0.012754844,0.007800662,0.011244365,0.92554367,0.000011682432,0.034302387],"study_design_scores_gemma":[0.0009238049,0.000041650557,0.0011635148,0.00025383648,0.0004885966,8.934653e-7,0.0006032735,0.18234542,0.0076461807,0.8063152,0.000039333416,0.0001783049],"about_ca_topic_score_codex":0.000008894783,"about_ca_topic_score_gemma":0.00060405425,"teacher_disagreement_score":0.17454475,"about_ca_system_score_codex":0.000029376622,"about_ca_system_score_gemma":0.000031592674,"threshold_uncertainty_score":0.4660388},"labels":[],"label_agreement":null}]}