{"meta":{"query_hash":"105acbf1b982","filters":{"venue":"Duke Mathematical Journal"},"cohort_total":29,"direct_labels_cover":0,"predictions_cover":29,"exported":29,"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/105acbf1b982","api":"https://metacan.xera.ac/api/v1/cohort?venue=Duke+Mathematical+Journal"},"results":[{"id":"W1485553355","doi":"10.1215/s0012-7094-07-13711-6","title":"Cm-norms on finite sets and Cm extension criteria","year":2007,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":20,"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; Extension (predicate logic); Cardinality (data modeling); Combinatorics; Space (punctuation); Function (biology); Degree (music); Finite set; Set (abstract data type); Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.0928516531902392,"score_gpt":0.421299651020143,"score_spread":0.3284479978299038,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1485553355","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":[0.71760255,0.0015712392,0.21964562,0.0017324873,0.00019603057,0.00005472586,0.0002437175,0.0001255018,0.058828134],"genre_scores_gemma":[0.96257484,0.00045835236,0.02863182,0.00024019736,0.00038536487,0.00009723732,0.00026633992,0.000049343216,0.0072965315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979024,0.00071613636,0.00012177539,0.00039230858,0.0006340044,0.0002332494],"domain_scores_gemma":[0.99078256,0.0042822943,0.0007571816,0.0005205944,0.001969833,0.0016875681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038219374,0.000618709,0.00058396906,0.002433384,0.0013026529,0.0017377887,0.0010850297,0.0008873372,0.0025572244],"category_scores_gemma":[0.010632388,0.00026616023,0.00064261083,0.00091505126,0.004629505,0.0058077774,0.003457535,0.002204603,0.0003017014],"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":[0.000056547,0.000016966833,0.0015655166,0.000040762774,0.00000839631,0.00014361557,0.00029494034,0.0016595562,0.0018025595,0.98981655,0.0003598141,0.004234733],"study_design_scores_gemma":[0.00002804629,0.00019204564,0.0037723426,0.00006077285,0.0000123808295,0.0008480501,0.00047173808,0.024333641,0.003560769,0.9597272,0.0069460995,0.000046863104],"about_ca_topic_score_codex":0.00035381803,"about_ca_topic_score_gemma":0.00020954697,"teacher_disagreement_score":0.0038219374,"about_ca_system_score_codex":0.0012120324,"about_ca_system_score_gemma":0.00032358392,"threshold_uncertainty_score":0.02021259},"labels":[],"label_agreement":null},{"id":"W1965612019","doi":"10.1215/00127094-1507400","title":"Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L2(T)","year":2012,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":158,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Institut Henri Poincaré","keywords":"Initial value problem; Mathematics; Nonlinear Schrödinger equation; Smoothing; Nonlinear system; Gaussian; Cauchy distribution; Cauchy problem; Mathematical analysis; Applied mathematics; Schrödinger equation; Physics; Quantum mechanics; Statistics","score_opus":0.061672682509289575,"score_gpt":0.3237760974518266,"score_spread":0.262103414942537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965612019","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":[0.8211984,0.00034648302,0.16468324,0.0022008326,0.00006335938,0.00004869658,0.00024040953,0.0001582157,0.011060451],"genre_scores_gemma":[0.9827938,0.00022111698,0.0106698945,0.00014485737,0.000049925347,0.000071503506,0.00020275977,0.00004953914,0.005796639],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99975234,0.000064532236,0.00001194487,0.00005136021,0.00007056065,0.000049332797],"domain_scores_gemma":[0.99828255,0.0007995709,0.00030028762,0.00010280595,0.00030681858,0.00020810933],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011494386,0.0006902293,0.0005721748,0.0006217806,0.00064430514,0.000933476,0.00078350335,0.0011632451,0.0016345505],"category_scores_gemma":[0.0058598304,0.00026843778,0.00053266395,0.00026168136,0.0022352801,0.0013393997,0.0017159113,0.0012313571,0.00016839597],"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":[0.0004131277,0.00011748812,0.0050581014,0.00033519752,0.00007292388,0.0011111168,0.00072176475,0.2773214,0.05380542,0.6500848,0.0022475326,0.008711124],"study_design_scores_gemma":[0.000036454087,0.00006931744,0.0011209395,0.000015437281,0.000006943676,0.000104399136,0.00010857718,0.90488774,0.004081436,0.08921047,0.00032522884,0.00003300735],"about_ca_topic_score_codex":0.0059292195,"about_ca_topic_score_gemma":0.0025253883,"teacher_disagreement_score":0.0059292195,"about_ca_system_score_codex":0.0010463787,"about_ca_system_score_gemma":0.0015751048,"threshold_uncertainty_score":0.011789441},"labels":[],"label_agreement":null},{"id":"W1978359906","doi":"10.1215/00127094-2009-039","title":"Maximal averages over linear and monomial polyhedra","year":2009,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Monomial; Polyhedron; Mathematics; Monomial ideal; Combinatorics; Monomial basis; Pure mathematics; Discrete mathematics; Mathematical analysis; Polynomial; Polynomial ring","score_opus":0.022544495867568078,"score_gpt":0.30237592590012835,"score_spread":0.2798314300325603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978359906","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":[0.48131272,0.00097064907,0.4628761,0.00057307334,0.00013655142,0.000038407747,0.0005553069,0.00022530172,0.053311802],"genre_scores_gemma":[0.96194756,0.00043901958,0.029531794,0.00010000933,0.00019797563,0.00008423076,0.00031303643,0.00009250269,0.0072938423],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852437,0.00029100073,0.000080283884,0.00026831927,0.0004794763,0.00035659698],"domain_scores_gemma":[0.99652714,0.0017898738,0.00042753192,0.00033699695,0.00047426843,0.0004441624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012874232,0.00061805034,0.00084032863,0.0016472639,0.0015590488,0.0025818138,0.0016803337,0.00042308486,0.0056178253],"category_scores_gemma":[0.005324727,0.00037099177,0.0010238293,0.0011720245,0.0026097952,0.004951208,0.0023108753,0.0019828537,0.00047110097],"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":[0.00002709778,0.000009495267,0.00036031808,0.00003194943,0.000010269475,0.00004524434,0.00009601721,0.0030692078,0.0014760668,0.99071383,0.00030824236,0.0038522934],"study_design_scores_gemma":[0.000005624981,0.000031603686,0.00076514954,0.000021811378,0.000015939931,0.00012124812,0.00012331511,0.038484957,0.0035073706,0.95444626,0.0024565817,0.00002014243],"about_ca_topic_score_codex":0.0010912602,"about_ca_topic_score_gemma":0.0013586049,"teacher_disagreement_score":0.0056178253,"about_ca_system_score_codex":0.0013896642,"about_ca_system_score_gemma":0.00046466262,"threshold_uncertainty_score":0.018793523},"labels":[],"label_agreement":null},{"id":"W2011615392","doi":"10.1215/00127094-2008-030","title":"Riemann-Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: Irregular singularity","year":2008,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Engineering and Physical Sciences Research Council","keywords":"Meromorphic function; Mathematics; Pure mathematics; Riemann surface; Moduli space; Manifold (fluid mechanics); Singularity; Gravitational singularity; Mathematical analysis","score_opus":0.03660976329164722,"score_gpt":0.2825703837457764,"score_spread":0.2459606204541292,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011615392","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":[0.9075964,0.00044638952,0.070831954,0.0014130627,0.00011770757,0.00006151149,0.00012788031,0.00011070781,0.019294359],"genre_scores_gemma":[0.97963136,0.00025976723,0.011984494,0.000075993274,0.00014484239,0.000044327157,0.00015413422,0.00002312094,0.0076819896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996718,0.00011618866,0.000017351886,0.00004174897,0.00009716539,0.000055775792],"domain_scores_gemma":[0.999363,0.00020680793,0.000117507254,0.00004840204,0.00007600206,0.00018830813],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072728243,0.0009097881,0.00079616683,0.0017439962,0.0011447476,0.002352783,0.00076750666,0.0017425366,0.0026307455],"category_scores_gemma":[0.0028262497,0.00029685348,0.00050446525,0.0008302064,0.0030877318,0.0027403943,0.0019425702,0.0015998504,0.00029761775],"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":[0.000039414394,0.000033042696,0.00058601284,0.00003898107,0.000014402145,0.00026109014,0.00027694742,0.0064257337,0.0013161902,0.98743385,0.0005887872,0.0029855075],"study_design_scores_gemma":[0.00005285394,0.00004434335,0.00064173306,0.000017833197,0.000009834207,0.00032999864,0.00046132397,0.080987856,0.0010356667,0.9154003,0.0009960394,0.000022222384],"about_ca_topic_score_codex":0.000810385,"about_ca_topic_score_gemma":0.0006856191,"teacher_disagreement_score":0.0026307455,"about_ca_system_score_codex":0.000927975,"about_ca_system_score_gemma":0.00074700825,"threshold_uncertainty_score":0.008800685},"labels":[],"label_agreement":null},{"id":"W2032887129","doi":"10.1215/00127094-1345644","title":"Maximal operators and differentiation theorems for sparse sets","year":2011,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Bounded function; Dimension (graph theory); Hausdorff space; Probabilistic logic; Euclidean geometry; Hausdorff dimension; Hausdorff distance; Hausdorff measure","score_opus":0.071018228090228,"score_gpt":0.30058516178748435,"score_spread":0.22956693369725634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032887129","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":[0.580868,0.0009496843,0.3999338,0.0007662183,0.00008308432,0.000029320678,0.00009457279,0.000119861834,0.017155405],"genre_scores_gemma":[0.9641408,0.00043680702,0.030657088,0.0001128001,0.00012461624,0.000036144447,0.00008252065,0.000029755667,0.0043796347],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948263,0.000098382734,0.000025708763,0.00009434615,0.00020922966,0.00008961489],"domain_scores_gemma":[0.9974572,0.0012012693,0.0004178127,0.00017195272,0.0003653034,0.00038651528],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012044648,0.00042675878,0.0005095267,0.0015427866,0.00084501266,0.0011997963,0.0007829735,0.000539156,0.0019937246],"category_scores_gemma":[0.0047426624,0.00022377496,0.0005905058,0.00074238336,0.002663617,0.002072552,0.0020838738,0.001062571,0.0001836005],"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":[0.000014005032,0.000009608156,0.00054321403,0.000038031016,0.000009001443,0.000092448376,0.00025485948,0.0040365183,0.0033154828,0.9877921,0.00021388724,0.0036808234],"study_design_scores_gemma":[0.000008033866,0.000040806648,0.00068804057,0.000016940934,0.00000778553,0.00025933748,0.00016092957,0.05844164,0.002239709,0.9367535,0.0013670133,0.00001641815],"about_ca_topic_score_codex":0.00061421754,"about_ca_topic_score_gemma":0.0003740398,"teacher_disagreement_score":0.0019937246,"about_ca_system_score_codex":0.00079826923,"about_ca_system_score_gemma":0.00040563315,"threshold_uncertainty_score":0.0066696405},"labels":[],"label_agreement":null},{"id":"W2046248663","doi":"10.1215/s0012-7094-02-11113-2","title":"Riemannian manifolds with uniformly bounded eigenfunctions","year":2002,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":66,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Los Alamos National Laboratory; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Eigenfunction; Bounded function; Torus; Integrable system; Pure mathematics; Lambda; Eigenvalues and eigenvectors; Mathematical analysis; Geometry; Physics; Quantum mechanics","score_opus":0.014082997434749061,"score_gpt":0.2124083090248746,"score_spread":0.19832531159012554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046248663","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":[0.8731191,0.0012223581,0.09216044,0.0012696079,0.00011505358,0.000020799376,0.00027305752,0.00025710234,0.03156247],"genre_scores_gemma":[0.9853291,0.00036884967,0.007972226,0.00013363767,0.00007780987,0.00003300835,0.00020808232,0.000029630284,0.005847738],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995765,0.00010154335,0.000022106706,0.00009229876,0.00012666667,0.00008086359],"domain_scores_gemma":[0.99900407,0.00017644408,0.00018214053,0.00017243765,0.0002817547,0.0001831908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054051366,0.0005743095,0.0003521266,0.0012804643,0.0006343827,0.0011018022,0.00047685756,0.0006085044,0.0017808363],"category_scores_gemma":[0.0022943518,0.00025639482,0.00025196682,0.00050149445,0.001820801,0.0019712208,0.0013224914,0.00068995275,0.0004086901],"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":[0.000028082835,0.000008425582,0.00077149476,0.000033837554,0.000008389148,0.00012759144,0.00016736443,0.0034571877,0.004208549,0.98533475,0.0012636319,0.0045906906],"study_design_scores_gemma":[0.000012273778,0.00003791306,0.0037326254,0.000017918293,0.0000086435175,0.00029992487,0.00020548704,0.038638063,0.0027093552,0.95093,0.0033754779,0.000032290256],"about_ca_topic_score_codex":0.0012689625,"about_ca_topic_score_gemma":0.0010019634,"teacher_disagreement_score":0.0017808363,"about_ca_system_score_codex":0.00082953944,"about_ca_system_score_gemma":0.00035600664,"threshold_uncertainty_score":0.006018698},"labels":[],"label_agreement":null},{"id":"W2057419191","doi":"10.1215/00127094-2644357","title":"Localization for linearly edge reinforced random walks","year":2014,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Random walk; Vertex (graph theory); Bounded function; Jump; Equivalence (formal languages); Graph; Markov process; Markov chain","score_opus":0.03554354805780026,"score_gpt":0.31453289473122337,"score_spread":0.2789893466734231,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057419191","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":[0.34870955,0.0005524341,0.62856925,0.00090862147,0.000061250874,0.00005417359,0.00012952894,0.00066143787,0.020353686],"genre_scores_gemma":[0.9770438,0.00028790234,0.016222687,0.00018566952,0.00004290753,0.00008895778,0.000083576226,0.000099652505,0.005944933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951196,0.0001415254,0.0000215399,0.00010342909,0.00010599449,0.00011551859],"domain_scores_gemma":[0.99701214,0.001587396,0.00053758576,0.0002761147,0.00028047085,0.00030630658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006480588,0.00046428054,0.00047200534,0.0009798299,0.00045688366,0.0010492852,0.0010825885,0.00092166674,0.004936533],"category_scores_gemma":[0.0052256556,0.00034696076,0.00055815553,0.00040992777,0.0016028801,0.0022737677,0.0023083591,0.0013157787,0.0010871798],"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":[0.0001529249,0.00007802785,0.0013799607,0.00014965658,0.00003666919,0.00047445743,0.0003854583,0.058072675,0.02274626,0.9044884,0.0016181127,0.010417429],"study_design_scores_gemma":[0.000038958155,0.00008514122,0.00055725605,0.000029210829,0.000019773122,0.00020397433,0.00010180919,0.6358675,0.00505879,0.35661447,0.0013846122,0.00003856311],"about_ca_topic_score_codex":0.0008250476,"about_ca_topic_score_gemma":0.0006510793,"teacher_disagreement_score":0.004936533,"about_ca_system_score_codex":0.00063371315,"about_ca_system_score_gemma":0.00034419334,"threshold_uncertainty_score":0.01651442},"labels":[],"label_agreement":null},{"id":"W2076304401","doi":"10.1215/00127094-2011-005","title":"Noncommutative Chern-Weil theory and the combinatorics of wheeling","year":2011,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Toronto","keywords":"Mathematics; Noncommutative geometry; Wheeling; Connection (principal bundle); Constructive; Algebra over a field; Class (philosophy); Construct (python library); Combinatorial proof; Constructive proof; Pure mathematics; Exposition (narrative); Discrete mathematics; Computer science","score_opus":0.055585231354112745,"score_gpt":0.2969507410028179,"score_spread":0.24136550964870512,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076304401","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":[0.39931464,0.0032620567,0.33434588,0.004143919,0.0006526475,0.00007828055,0.0003195807,0.00046482089,0.25741822],"genre_scores_gemma":[0.96483684,0.000929492,0.01548897,0.00019521132,0.00019287654,0.000050152736,0.00008596481,0.00006022531,0.018160203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993635,0.00016092515,0.000034799185,0.00010138665,0.000199937,0.00013958212],"domain_scores_gemma":[0.9986389,0.0006313318,0.00014894069,0.00021423725,0.0001745105,0.00019198647],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012705748,0.00036388726,0.00059222657,0.0019569509,0.0023071736,0.0032781886,0.0008894086,0.000525866,0.008618542],"category_scores_gemma":[0.002242759,0.00028179484,0.0005987852,0.0012522354,0.0050391224,0.0065423637,0.002488707,0.0011485951,0.0005981301],"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":[0.000002757169,0.0000025040947,0.000068378475,0.000008190784,7.415429e-7,0.000020355516,0.00008765136,0.00014804272,0.000086553315,0.9982408,0.00017357455,0.0011604077],"study_design_scores_gemma":[0.000005032177,0.0000052105065,0.00017629513,0.000009894841,0.0000030901274,0.00006637076,0.000121016565,0.001145587,0.00029700893,0.9910336,0.007129839,0.0000070139104],"about_ca_topic_score_codex":0.001365199,"about_ca_topic_score_gemma":0.0014752271,"teacher_disagreement_score":0.008618542,"about_ca_system_score_codex":0.0018410735,"about_ca_system_score_gemma":0.0011316135,"threshold_uncertainty_score":0.02883184},"labels":[],"label_agreement":null},{"id":"W2090346727","doi":"10.1215/s0012-7094-07-13713-x","title":"Iwasawa theory and the Eisenstein ideal","year":2007,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","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":"McMaster University","funders":"","keywords":"Mathematics; Iwasawa theory; Galois module; Pure mathematics; Modular form; Abelian group; Ideal (ethics); Galois cohomology; Prime (order theory); Algebra over a field; Galois group; Combinatorics","score_opus":0.018929428166636078,"score_gpt":0.29368830798986645,"score_spread":0.2747588798232304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090346727","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":[0.89495623,0.00069834746,0.0103909485,0.0009931854,0.00009185274,0.000014356366,0.00003592665,0.00010335163,0.0927159],"genre_scores_gemma":[0.9893188,0.00020844006,0.0014659513,0.000037650378,0.000052988857,0.000009591836,0.000022651979,0.000009115277,0.008874971],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998301,0.000026791982,0.0000075106764,0.000030687264,0.00004720935,0.0000576565],"domain_scores_gemma":[0.99969566,0.00007329695,0.00007418641,0.000038535152,0.000033000648,0.00008531844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035132185,0.00032902719,0.00028465173,0.0011220938,0.0010229995,0.001233022,0.0002866351,0.0002549189,0.003274092],"category_scores_gemma":[0.000971971,0.00013967084,0.00023276605,0.00055505015,0.002208226,0.001852243,0.0012365945,0.00084077084,0.00039261588],"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":[0.00003321439,0.000022230652,0.0012714645,0.0000161646,0.0000033307854,0.00016940785,0.00056174485,0.0008965013,0.0020477884,0.9872093,0.0006641016,0.007104545],"study_design_scores_gemma":[0.000017734677,0.00005532843,0.0026728052,0.000024045647,0.000008648124,0.00028529012,0.00029762735,0.0042481213,0.003899608,0.97680956,0.011667176,0.000014026477],"about_ca_topic_score_codex":0.0005785683,"about_ca_topic_score_gemma":0.0005151795,"teacher_disagreement_score":0.003274092,"about_ca_system_score_codex":0.0009898363,"about_ca_system_score_gemma":0.00043148219,"threshold_uncertainty_score":0.01095289},"labels":[],"label_agreement":null},{"id":"W2091312010","doi":"10.1215/00127094-2009-047","title":"Zero loci of admissible normal functions with torsion singularities","year":2009,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Algebraic Geometry and Number Theory","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 British Columbia","funders":"","keywords":"Gravitational singularity; Locus (genetics); Normal surface; Algebraic number; Algebraic variety; Compactification (mathematics); Torsion (gastropod); Zero (linguistics)","score_opus":0.022440012657625432,"score_gpt":0.27150035831823455,"score_spread":0.2490603456606091,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091312010","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":[0.9113845,0.0003699256,0.053543776,0.0002878985,0.00008654378,0.000037576396,0.000091806294,0.00020305008,0.03399488],"genre_scores_gemma":[0.9901086,0.00017732182,0.0049334033,0.000025100582,0.000047405767,0.00002266466,0.00007184483,0.0000386019,0.0045749936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993641,0.00007145633,0.000041656986,0.00012715845,0.00023160927,0.00016398939],"domain_scores_gemma":[0.99891126,0.00021524666,0.00022073704,0.00015216242,0.00017133732,0.00032920725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006314495,0.001124804,0.0008112299,0.003342586,0.0015701924,0.0033118606,0.00134559,0.0011539606,0.0036812187],"category_scores_gemma":[0.0027696232,0.00037718905,0.00070768653,0.0011043457,0.003690687,0.0036129255,0.0040364806,0.0019752476,0.0006398963],"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":[0.000109107525,0.00009372303,0.0038160104,0.00009642176,0.000022867367,0.0012625308,0.0011525641,0.0038599304,0.011976817,0.963908,0.0005120472,0.013189999],"study_design_scores_gemma":[0.00007071675,0.00020374457,0.0032471498,0.00006517597,0.000059967835,0.002618838,0.0012433637,0.026818717,0.021363527,0.9375054,0.0067103175,0.000092982984],"about_ca_topic_score_codex":0.00042601026,"about_ca_topic_score_gemma":0.0002516108,"teacher_disagreement_score":0.0036812187,"about_ca_system_score_codex":0.0010836285,"about_ca_system_score_gemma":0.00037658797,"threshold_uncertainty_score":0.012314856},"labels":[],"label_agreement":null},{"id":"W2150888471","doi":"10.1215/s0012-7094-04-12416-9","title":"Geometric inequalities on locally conformally flat manifolds","year":2004,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":88,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conformal map; Mathematical analysis; Pure mathematics; Partial differential equation; Nonlinear system; Physics","score_opus":0.042711849510807295,"score_gpt":0.2911487549455886,"score_spread":0.2484369054347813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150888471","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":[0.63822293,0.0030443624,0.20253292,0.0064750873,0.00030574526,0.00006496547,0.00060909806,0.0001976629,0.14854717],"genre_scores_gemma":[0.97682106,0.0011877517,0.009071996,0.00036053953,0.00035565026,0.000043523825,0.00024797535,0.000031132524,0.011880434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956125,0.00011072587,0.000021793841,0.000075540534,0.00015526335,0.00007544291],"domain_scores_gemma":[0.99896586,0.00038643708,0.00018241639,0.00009321815,0.0002280877,0.00014395989],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008125366,0.00068727584,0.00046780804,0.0015962624,0.0009896278,0.0014176969,0.00066520704,0.0006543124,0.0044386196],"category_scores_gemma":[0.003070228,0.00022581323,0.0005053612,0.0006975643,0.0021566644,0.0029858695,0.002126619,0.0018646917,0.00036051768],"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":[0.0000060207453,0.0000039624624,0.00022848818,0.000014751538,0.0000037275079,0.00006443956,0.000068947236,0.0016027273,0.0009076904,0.9949085,0.0003776678,0.0018130571],"study_design_scores_gemma":[0.0000060592824,0.000012897015,0.0008430737,0.00000871577,0.0000045609977,0.00007885694,0.000059538987,0.013836419,0.00040403023,0.98293614,0.0018009455,0.000008718737],"about_ca_topic_score_codex":0.0017133362,"about_ca_topic_score_gemma":0.0014080228,"teacher_disagreement_score":0.0044386196,"about_ca_system_score_codex":0.0013039451,"about_ca_system_score_gemma":0.00049911666,"threshold_uncertainty_score":0.0148486495},"labels":[],"label_agreement":null},{"id":"W2249222310","doi":"10.1215/00127094-3450752","title":"Cubulating hyperbolic free-by-cyclic groups: The irreducible case","year":2016,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Torus; Graph; Irreducible representation; Free group; Combinatorics; Hyperbolic group; Cyclic group; Pure mathematics; Word (group theory); Group (periodic table); Hyperbolic manifold; Geometry; Hyperbolic function","score_opus":0.04071706987014746,"score_gpt":0.3008543147944617,"score_spread":0.2601372449243142,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2249222310","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":[0.8693378,0.00017495042,0.056036707,0.00045275153,0.00006332441,0.00007406637,0.00012991964,0.0002255002,0.073504955],"genre_scores_gemma":[0.9839198,0.00009862344,0.0048412974,0.000057604826,0.000030724066,0.000024303139,0.00010633635,0.000040854564,0.010880553],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994973,0.000062337676,0.000023621484,0.000076709555,0.000118020944,0.00022197388],"domain_scores_gemma":[0.99948275,0.0000960819,0.0000870988,0.00010708779,0.00005531017,0.00017170353],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040418294,0.00037642644,0.000322035,0.000764516,0.0010006684,0.0017005565,0.0005512039,0.00055679504,0.006762653],"category_scores_gemma":[0.0010927239,0.00021420918,0.00036915793,0.0003888525,0.0019545103,0.0020210403,0.0024572322,0.00070491835,0.00065159047],"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":[0.000041698353,0.00002293811,0.0006204348,0.000022985452,0.0000051801603,0.00023111305,0.0007318042,0.0019752018,0.0016448228,0.98829204,0.00047163563,0.005940035],"study_design_scores_gemma":[0.000029092329,0.000073226394,0.00063582096,0.00002295645,0.000022506338,0.00037764545,0.0010236746,0.017150542,0.004643469,0.96684307,0.009157303,0.000020672582],"about_ca_topic_score_codex":0.0023036494,"about_ca_topic_score_gemma":0.0022495205,"teacher_disagreement_score":0.006762653,"about_ca_system_score_codex":0.0006866971,"about_ca_system_score_gemma":0.0004937657,"threshold_uncertainty_score":0.0226233},"labels":[],"label_agreement":null},{"id":"W2599571866","doi":"10.1215/00127094-2018-0049","title":"Metaplectic covers of Kac–Moody groups and Whittaker functions","year":2019,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Integer (computer science); Group (periodic table); Invariant (physics); Bilinear form; Algebraic group; General linear group; Combinatorics; Algebraic number; Algebra over a field; Symmetric group; Mathematical analysis","score_opus":0.020225028520371502,"score_gpt":0.2831326999296328,"score_spread":0.2629076714092613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2599571866","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":[0.93381566,0.00043299,0.030681314,0.00035608822,0.0000793275,0.000018767152,0.00007284071,0.00007848306,0.034464527],"genre_scores_gemma":[0.99038893,0.00018646364,0.0033098832,0.000038621074,0.000096616655,0.000020109168,0.000055877405,0.000016883308,0.0058866558],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978775,0.000030728665,0.000010459489,0.000041911393,0.00006244803,0.00006671807],"domain_scores_gemma":[0.9996556,0.00006222132,0.000071859926,0.00004526007,0.000040677485,0.00012441885],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037952725,0.000494574,0.00051336427,0.0014757027,0.0011882178,0.0015111442,0.00037168546,0.0005245996,0.003051732],"category_scores_gemma":[0.00067239156,0.00023657976,0.0005309942,0.0005474652,0.0019282529,0.0022932312,0.0017205243,0.001148769,0.0003343675],"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":[0.000041955685,0.000019458319,0.0007476571,0.000026851354,0.000009129572,0.00033639357,0.00041160046,0.0010785618,0.0048798793,0.9885372,0.0003147772,0.003596566],"study_design_scores_gemma":[0.000033759217,0.00013047854,0.004020663,0.000036513353,0.000026944883,0.0010262879,0.0005830581,0.012300654,0.006875023,0.96766317,0.007275744,0.000027621189],"about_ca_topic_score_codex":0.0003916335,"about_ca_topic_score_gemma":0.00035876158,"teacher_disagreement_score":0.003051732,"about_ca_system_score_codex":0.00071068126,"about_ca_system_score_gemma":0.00024772863,"threshold_uncertainty_score":0.010209024},"labels":[],"label_agreement":null},{"id":"W2761648792","doi":"10.1215/00127094-2019-0032","title":"Noncommutative boundaries and the ideal structure of reduced crossed products","year":2019,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":31,"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 Waterloo","funders":"","keywords":"Mathematics; Noncommutative geometry; Crossed product; Ideal (ethics); Pure mathematics; Unital; Invariant (physics); Dynamical systems theory; Prime ideal; Commutative property; Boundary (topology); Dynamical system (definition); Algebra over a field; Prime (order theory); Combinatorics; Mathematical analysis; Mathematical physics","score_opus":0.02454192696111469,"score_gpt":0.34384300695464215,"score_spread":0.31930107999352747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2761648792","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":[0.84107924,0.0006257004,0.105284385,0.0008254142,0.00010651275,0.00003613226,0.00007868061,0.00016262039,0.0518013],"genre_scores_gemma":[0.99282277,0.00008466282,0.0045368057,0.00005027586,0.000041902822,0.0000174153,0.000045201235,0.000018694636,0.0023821644],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916923,0.00019221246,0.000052504987,0.00017872007,0.00022665817,0.00018071402],"domain_scores_gemma":[0.9983164,0.00046096474,0.0003022775,0.000171547,0.00028595407,0.00046279808],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011175744,0.00028268743,0.00037631023,0.0012062829,0.001329667,0.0021117076,0.0005120768,0.00048649393,0.0027301956],"category_scores_gemma":[0.0023119806,0.0002625165,0.00041246024,0.0003456667,0.0050449045,0.0042419257,0.0025654887,0.001006077,0.00032922585],"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":[0.000023244313,0.000010420046,0.0003865579,0.000013465509,0.0000039672923,0.00012448164,0.00041500156,0.0007526943,0.002111218,0.9948054,0.00011845688,0.001235022],"study_design_scores_gemma":[0.000023942817,0.00003841788,0.0006849587,0.000011003737,0.000007318593,0.00021970714,0.0003239557,0.009365445,0.0031888036,0.98362076,0.0024952702,0.000020385049],"about_ca_topic_score_codex":0.00075755606,"about_ca_topic_score_gemma":0.00036394503,"teacher_disagreement_score":0.0027301956,"about_ca_system_score_codex":0.0009353956,"about_ca_system_score_gemma":0.0006412826,"threshold_uncertainty_score":0.0091333985},"labels":[],"label_agreement":null},{"id":"W2944891608","doi":"10.1215/00127094-2021-0039","title":"Filling metric spaces","year":2022,"lang":"en","type":"preprint","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Hausdorff space; Isoperimetric inequality; Mathematics; Infimum and supremum; Hausdorff measure; Compact space; Combinatorics; Metric space; Hausdorff distance; Banach space; Discrete mathematics; Pure mathematics; Mathematical analysis; Hausdorff dimension","score_opus":0.07005861174305993,"score_gpt":0.3410135533393862,"score_spread":0.27095494159632627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2944891608","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":[0.3040046,0.004465704,0.55957973,0.0025656954,0.0004934457,0.00008280089,0.00093664916,0.00023679897,0.1276346],"genre_scores_gemma":[0.9119384,0.0012365441,0.07403626,0.00048372804,0.00045462415,0.000101883,0.0005693019,0.000068388355,0.011110895],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867505,0.00026545115,0.000092488895,0.00036165884,0.000447973,0.0001572806],"domain_scores_gemma":[0.99819356,0.0007329337,0.0002892492,0.00029216296,0.00027598612,0.00021615947],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010852282,0.00068406964,0.0006501225,0.0014466225,0.0009075074,0.002029444,0.00081568497,0.0008823247,0.0033713214],"category_scores_gemma":[0.0044649323,0.00030290813,0.00055981707,0.0009980563,0.0026757314,0.004561591,0.0032268614,0.0016845657,0.00046206504],"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":[0.0000130991375,0.000005337663,0.0002733501,0.000035486526,0.000008433751,0.00005462963,0.00013345915,0.0011273553,0.0011381732,0.99037606,0.0005433249,0.006291191],"study_design_scores_gemma":[0.000008017254,0.00006626357,0.00079385703,0.000027474274,0.000011883916,0.00034791324,0.00012886449,0.013508477,0.0016343707,0.9631186,0.020340519,0.000013838101],"about_ca_topic_score_codex":0.0004059691,"about_ca_topic_score_gemma":0.00038980332,"teacher_disagreement_score":0.0033713214,"about_ca_system_score_codex":0.00096185604,"about_ca_system_score_gemma":0.000322023,"threshold_uncertainty_score":0.011278212},"labels":[],"label_agreement":null},{"id":"W2949373692","doi":"10.1215/00127094-2010-050","title":"The theorem of the complement for nested sub-Pfaffian sets","year":2010,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Topology and Set Theory","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":"McMaster University","funders":"","keywords":"Complement (music); Closure (psychology); Nested set model; Set (abstract data type); Projection (relational algebra); Pfaffian","score_opus":0.03568120515333763,"score_gpt":0.3470619622620026,"score_spread":0.311380757108665,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949373692","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":[0.2804406,0.0025946377,0.5488506,0.0036961974,0.00044894838,0.00012710605,0.0012577717,0.0009298803,0.16165426],"genre_scores_gemma":[0.91003716,0.0007677958,0.061762504,0.00091924414,0.00048021824,0.00024679332,0.0008892735,0.00024616427,0.024650801],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984384,0.00027848946,0.000081209924,0.0005311913,0.00039577784,0.00027493303],"domain_scores_gemma":[0.99787986,0.0011452532,0.000107152264,0.0002809544,0.00040102296,0.0001857585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017858655,0.00053008343,0.00095945573,0.0013006688,0.0019872568,0.003097196,0.00093811157,0.00084858964,0.0051755523],"category_scores_gemma":[0.0034542554,0.00045833408,0.0020314297,0.00063178665,0.0053793094,0.009784402,0.0035145532,0.0026613518,0.00073811127],"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":[0.000029942465,0.0000075438084,0.00023065558,0.00004083951,0.0000075568555,0.00005770554,0.0002955762,0.00036008743,0.00093205506,0.9940983,0.00058505876,0.0033545871],"study_design_scores_gemma":[0.000022792707,0.000031152333,0.00041212264,0.000026050899,0.000016685395,0.00025204808,0.00013711616,0.0043315417,0.0019230844,0.9815414,0.011286271,0.000019787678],"about_ca_topic_score_codex":0.0025429379,"about_ca_topic_score_gemma":0.0016751273,"teacher_disagreement_score":0.0051755523,"about_ca_system_score_codex":0.0018441641,"about_ca_system_score_gemma":0.0009954101,"threshold_uncertainty_score":0.017313957},"labels":[],"label_agreement":null},{"id":"W2950320606","doi":"10.1215/00127094-2010-216","title":"Random walks on the mapping class group","year":2011,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":103,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Centre de Recherches Mathématiques; California Institute of Technology; National Science Foundation","keywords":"Mapping class group; Random walk; Group (periodic table); Mathematics; Class (philosophy); Combinatorics; Surface (topology); Element (criminal law); Pure mathematics; Geometry; Statistics; Computer science; Physics; Artificial intelligence","score_opus":0.11350631773341195,"score_gpt":0.2798542629857488,"score_spread":0.16634794525233682,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950320606","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":[0.7095742,0.0005970232,0.2595734,0.0011718842,0.00026745332,0.00006706705,0.0001328305,0.0002786113,0.028337473],"genre_scores_gemma":[0.9769065,0.00038431562,0.012054316,0.000154206,0.00024043088,0.00007519057,0.00010523972,0.000072639894,0.0100070555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996307,0.00010635917,0.000012179595,0.000071323135,0.00009763288,0.000081830505],"domain_scores_gemma":[0.99827576,0.00089935027,0.00026472475,0.0001924465,0.000119667806,0.0002479669],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059992337,0.0004913735,0.0005484761,0.0012090569,0.00090685,0.0015853664,0.00068709214,0.0010788486,0.0041301106],"category_scores_gemma":[0.0038432046,0.00026369045,0.0006960436,0.0004606048,0.0017417406,0.0021902097,0.0014471923,0.0012070782,0.00048835657],"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":[0.000049540293,0.000022773876,0.0008154531,0.000030239618,0.000013791179,0.00029930004,0.00018409961,0.009309167,0.0026601478,0.9824118,0.0007124406,0.0034912587],"study_design_scores_gemma":[0.000042560292,0.000066657034,0.0009775657,0.000018271989,0.000015014027,0.00032533248,0.00011908494,0.1839995,0.0020920949,0.8094446,0.0028619897,0.000037232294],"about_ca_topic_score_codex":0.0005852244,"about_ca_topic_score_gemma":0.0003850644,"teacher_disagreement_score":0.0041301106,"about_ca_system_score_codex":0.0005056915,"about_ca_system_score_gemma":0.00023826689,"threshold_uncertainty_score":0.013816655},"labels":[],"label_agreement":null},{"id":"W2952529551","doi":"10.1215/dmj/1008706940","title":"Riemannian manifolds with uniformly bounded eigenfunctions","year":2002,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Los Alamos National Laboratory; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Eigenfunction; Bounded function; Torus; Pure mathematics; Integrable system; Lambda; Eigenvalues and eigenvectors; Mathematical analysis; Geometry; Physics; Quantum mechanics","score_opus":0.014082997434749061,"score_gpt":0.2124083090248746,"score_spread":0.19832531159012554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952529551","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":[0.8731191,0.0012223569,0.092160575,0.001269606,0.00011505348,0.000020799416,0.00027305778,0.00025710283,0.031562455],"genre_scores_gemma":[0.9853291,0.00036884967,0.00797223,0.00013363754,0.00007780979,0.000033008444,0.0002080825,0.000029630313,0.005847738],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995765,0.000101543454,0.00002210675,0.00009229885,0.00012666678,0.00008086366],"domain_scores_gemma":[0.99900407,0.00017644426,0.0001821407,0.00017243798,0.00028175526,0.00018319098],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005405147,0.0005743103,0.00035212727,0.0012804668,0.0006343833,0.0011018026,0.0004768583,0.0006085044,0.001780838],"category_scores_gemma":[0.002294355,0.00025639505,0.00025196729,0.0005014949,0.0018208018,0.0019712208,0.0013224914,0.0006899534,0.0004086907],"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":[0.000028082888,0.000008425582,0.00077149476,0.00003383762,0.000008389148,0.00012759132,0.00016736443,0.003457191,0.004208549,0.98533475,0.0012636307,0.004590693],"study_design_scores_gemma":[0.000012273801,0.000037913127,0.0037326263,0.00001791834,0.000008643533,0.00029992455,0.00020548722,0.03863815,0.002709361,0.9509299,0.003375479,0.000032290314],"about_ca_topic_score_codex":0.0012689608,"about_ca_topic_score_gemma":0.0010019629,"teacher_disagreement_score":0.001780838,"about_ca_system_score_codex":0.0008295402,"about_ca_system_score_gemma":0.00035600713,"threshold_uncertainty_score":0.006018698},"labels":[],"label_agreement":null},{"id":"W2956549117","doi":"10.1215/00127094-2021-0069","title":"Torsion groups do not act on 2-dimensional CAT(0) complexes","year":2022,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","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":"McGill University","funders":"","keywords":"Mathematics; Torsion (gastropod); Mathematical proof; Geodesic; Fixed point; Graph; Pure mathematics; Finitely-generated abelian group; Combinatorics; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.0481824249771527,"score_gpt":0.30609128578033623,"score_spread":0.25790886080318354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2956549117","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":[0.9461008,0.0004115443,0.022647534,0.00032778064,0.00014322634,0.00003553888,0.00008719362,0.00014377676,0.030102564],"genre_scores_gemma":[0.985981,0.0001390908,0.0035294737,0.00009941917,0.000053537362,0.00004966341,0.00013507807,0.00005523503,0.009957464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994824,0.00005266248,0.000028512633,0.0001746749,0.000104601684,0.00015718948],"domain_scores_gemma":[0.9990908,0.00021818606,0.00019135808,0.00014124118,0.0000866889,0.0002716491],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033508678,0.0006461639,0.0005619622,0.00089553115,0.0011557692,0.0023649873,0.0008354126,0.0010315267,0.0068350323],"category_scores_gemma":[0.0015383961,0.00033963966,0.0006889543,0.00036686333,0.0020771064,0.0027562536,0.002695603,0.0013492884,0.00086288847],"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":[0.00016892103,0.00006960986,0.0033338265,0.00011971477,0.000040083443,0.0012466627,0.0016711402,0.004283001,0.019481903,0.95672786,0.0014712851,0.011385997],"study_design_scores_gemma":[0.00014151208,0.00046930995,0.0043414156,0.00006261978,0.00006681161,0.0021546092,0.0016035932,0.028020771,0.021059724,0.9180634,0.023936246,0.000079963174],"about_ca_topic_score_codex":0.00042229367,"about_ca_topic_score_gemma":0.0003689755,"teacher_disagreement_score":0.0068350323,"about_ca_system_score_codex":0.00062830775,"about_ca_system_score_gemma":0.00025755863,"threshold_uncertainty_score":0.022865474},"labels":[],"label_agreement":null},{"id":"W3101050935","doi":"10.1215/00127094-2010-210","title":"The fundamental lemma of Jacquet and Rallis","year":2011,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Lemma (botany); Algebra over a field; Pure mathematics","score_opus":0.07564956605298176,"score_gpt":0.3060216178363051,"score_spread":0.23037205178332334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101050935","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":[0.1641545,0.0025382603,0.48178843,0.0153430095,0.0032509149,0.00017591196,0.00051487196,0.0007702092,0.33146384],"genre_scores_gemma":[0.9015646,0.0015430304,0.05392726,0.0027912762,0.0018744594,0.00016026436,0.00025191324,0.00036625835,0.0375209],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927074,0.00012414379,0.00003462198,0.00014949827,0.00026922344,0.00015179823],"domain_scores_gemma":[0.9985738,0.0004202458,0.00013566684,0.0002326574,0.00044391185,0.00019375325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017667977,0.0004791997,0.0007755225,0.0016364837,0.0018229056,0.0020166747,0.001250923,0.0015917623,0.009837851],"category_scores_gemma":[0.0061718985,0.0002831808,0.0011899276,0.0012264929,0.0038625102,0.0076387716,0.0036827386,0.003376619,0.0017774345],"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":[0.000005125244,0.0000061904248,0.000057215966,0.00001857435,0.0000033117014,0.00003804745,0.00012702467,0.00012797554,0.0005191909,0.9955043,0.0013290399,0.0022639176],"study_design_scores_gemma":[0.000010092586,0.000020646014,0.00014674779,0.000010992929,0.000005724875,0.0001447514,0.00004910136,0.001570397,0.0008892732,0.98917234,0.0079704095,0.000009476876],"about_ca_topic_score_codex":0.0008463585,"about_ca_topic_score_gemma":0.00047711446,"teacher_disagreement_score":0.009837851,"about_ca_system_score_codex":0.0010534228,"about_ca_system_score_gemma":0.0010123551,"threshold_uncertainty_score":0.032910824},"labels":[],"label_agreement":null},{"id":"W4407755512","doi":"10.1215/00127094-2024-0026","title":"Sharp quantitative estimates of Struwe’s decomposition","year":2025,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Decomposition; Statistics; Chemistry","score_opus":0.07007641276060998,"score_gpt":0.4326735207182561,"score_spread":0.3625971079576461,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407755512","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":[0.16572686,0.010265934,0.67375106,0.0054369983,0.0009968948,0.00011883414,0.001122475,0.00048337606,0.14209759],"genre_scores_gemma":[0.8716387,0.0037130092,0.08888238,0.0014654617,0.00092349475,0.00024693797,0.0011451644,0.0005300611,0.031454716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984499,0.0003899073,0.00007087784,0.00035481597,0.00047532903,0.00025914048],"domain_scores_gemma":[0.9946249,0.0021916162,0.0007316124,0.00048677713,0.0010569067,0.0009081758],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003188637,0.0015918282,0.0009203846,0.004419981,0.0012985002,0.0022169182,0.0013416115,0.0013304239,0.0061724107],"category_scores_gemma":[0.013448485,0.00076054374,0.0012460052,0.0010957625,0.004044198,0.0060935984,0.005164234,0.0050363718,0.0009350922],"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":[0.00005791861,0.00001913563,0.0008745654,0.0001258275,0.000025227568,0.00009011699,0.00020633217,0.004256227,0.0038691289,0.980372,0.0028741178,0.007229347],"study_design_scores_gemma":[0.00001929972,0.00009498948,0.0020684311,0.00011715058,0.000024629411,0.00030554828,0.00019417646,0.060912985,0.0032880222,0.91863686,0.014268997,0.00006886447],"about_ca_topic_score_codex":0.0010965995,"about_ca_topic_score_gemma":0.00084188266,"teacher_disagreement_score":0.0061724107,"about_ca_system_score_codex":0.0016784015,"about_ca_system_score_gemma":0.0005441082,"threshold_uncertainty_score":0.020648777},"labels":[],"label_agreement":null},{"id":"W4408041512","doi":"10.1215/00127094-2024-0030","title":"The characteristic gluing problem for the Einstein equations and applications","year":2025,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Einstein; Mathematical analysis; Calculus (dental); Applied mathematics; Mathematical physics; Medicine","score_opus":0.008642520794727085,"score_gpt":0.2603132444256193,"score_spread":0.2516707236308922,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408041512","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":[0.3591805,0.01605354,0.39969105,0.02356147,0.0020618865,0.00009484801,0.00048818288,0.00031750218,0.19855094],"genre_scores_gemma":[0.9146444,0.005042783,0.032378424,0.000960483,0.0018294291,0.00007975265,0.00030370988,0.00012467937,0.044636294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996476,0.00016193723,0.000022427626,0.000051946216,0.00007199346,0.000044109223],"domain_scores_gemma":[0.9979734,0.0012308831,0.0002045003,0.00011433354,0.00021325573,0.0002635636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014059191,0.0009360862,0.0010620747,0.0018224525,0.0012871338,0.0028640425,0.0012410654,0.0020377764,0.005762683],"category_scores_gemma":[0.006847639,0.0004231542,0.0009565158,0.0017135801,0.0037092085,0.007171139,0.002377825,0.003233906,0.0005192549],"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":[0.000011883413,0.000009494942,0.000111677946,0.000025916928,0.0000039298266,0.00002853457,0.00005918565,0.001595335,0.00011511832,0.9946314,0.0011149273,0.0022926314],"study_design_scores_gemma":[0.000008397098,0.000004137832,0.00007010363,0.0000059704807,0.000001626376,0.000026012463,0.00002357845,0.0078001716,0.00002939236,0.99097884,0.0010469984,0.000004912645],"about_ca_topic_score_codex":0.0017173805,"about_ca_topic_score_gemma":0.0011824572,"teacher_disagreement_score":0.005762683,"about_ca_system_score_codex":0.0017564746,"about_ca_system_score_gemma":0.001385792,"threshold_uncertainty_score":0.019278169},"labels":[],"label_agreement":null},{"id":"W4410371241","doi":"10.1215/00127094-2024-0041","title":"On the dynamical Bogomolov conjecture for families of split rational maps","year":2025,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","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 Toronto","funders":"","keywords":"Mathematics; Conjecture; Pure mathematics","score_opus":0.026523358477210168,"score_gpt":0.32101057878779227,"score_spread":0.2944872203105821,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410371241","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":[0.88670063,0.0008832213,0.07115375,0.0011240684,0.00006127456,0.0000220103,0.00017310774,0.00009854534,0.039783448],"genre_scores_gemma":[0.99422425,0.00027086656,0.0033906128,0.000062142586,0.000053140702,0.000020589849,0.00007992335,0.000015294978,0.0018833288],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996207,0.00006738686,0.000014052472,0.00010108308,0.00011295103,0.00008378892],"domain_scores_gemma":[0.99882656,0.00044299473,0.00023539414,0.00014101139,0.00016074943,0.00019325066],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007684152,0.0003425463,0.00042519113,0.0014476534,0.0015475426,0.0013726576,0.00046509225,0.00055342895,0.0030486798],"category_scores_gemma":[0.0035186252,0.0001852563,0.0005378044,0.0005779788,0.0020670197,0.0025755602,0.0020879186,0.0007755292,0.0002550728],"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":[0.00003073896,0.000009592605,0.0023626485,0.000026957445,0.0000076097685,0.00014108577,0.00031360166,0.004170062,0.0015468464,0.9868161,0.00043539386,0.004139394],"study_design_scores_gemma":[0.000017403401,0.000042289073,0.0039249235,0.000028931641,0.000012070052,0.0002554279,0.00034966218,0.039375816,0.0011657045,0.9514391,0.0033639448,0.000024667233],"about_ca_topic_score_codex":0.0014203503,"about_ca_topic_score_gemma":0.0006568212,"teacher_disagreement_score":0.0030486798,"about_ca_system_score_codex":0.0011328171,"about_ca_system_score_gemma":0.00032215597,"threshold_uncertainty_score":0.010198891},"labels":[],"label_agreement":null},{"id":"W4410871730","doi":"10.1215/00127094-2024-0058","title":"KPZ fluctuations in the planar stochastic heat equation","year":2025,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Planar; Mathematics; Heat equation; Statistical physics; Mathematical analysis; Physics; Computer science","score_opus":0.03559777138155282,"score_gpt":0.2586903082942796,"score_spread":0.22309253691272676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410871730","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":[0.380968,0.002700476,0.55221003,0.0044872006,0.0005561656,0.00010319739,0.00049943064,0.00044604385,0.05802947],"genre_scores_gemma":[0.95356244,0.001115535,0.022795783,0.0004337442,0.0004282725,0.00010388558,0.00020251934,0.00010554247,0.021252211],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966776,0.000074448704,0.0000152078765,0.000065611086,0.00012556218,0.000051355324],"domain_scores_gemma":[0.99964166,0.00011295059,0.00006845431,0.000027313406,0.00008719876,0.00006244117],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057167053,0.00065741176,0.0007076349,0.0008069301,0.0005156912,0.001280779,0.0007248406,0.00097359525,0.0019182175],"category_scores_gemma":[0.002226498,0.00024760372,0.0005802313,0.0005613907,0.001774344,0.0020109324,0.0012428032,0.0012073605,0.00027901775],"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":[0.000018964203,0.000012665466,0.00021987314,0.000025352041,0.0000093238805,0.00010750082,0.000055697023,0.0359887,0.0023581837,0.9582464,0.0007011291,0.0022560973],"study_design_scores_gemma":[0.000023182787,0.000025407802,0.000468845,0.000010729753,0.000009590967,0.00011171994,0.000037368354,0.4794945,0.0006565309,0.51757437,0.0015526,0.000035167184],"about_ca_topic_score_codex":0.004089528,"about_ca_topic_score_gemma":0.0014600368,"teacher_disagreement_score":0.004089528,"about_ca_system_score_codex":0.0011767833,"about_ca_system_score_gemma":0.0009635602,"threshold_uncertainty_score":0.008538246},"labels":[],"label_agreement":null},{"id":"W4413062718","doi":"10.1215/00127094-2024-0055","title":"An almost sharp quantitative version of the Duffin–Schaeffer conjecture","year":2025,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Conjecture; Mathematics; Pure mathematics","score_opus":0.024184701489725458,"score_gpt":0.344459261580363,"score_spread":0.32027456009063754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413062718","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":[0.19219455,0.0022539773,0.75595486,0.007706522,0.00070550747,0.000078120866,0.0006963275,0.0006213711,0.03978875],"genre_scores_gemma":[0.934696,0.0009631654,0.048853323,0.0031511723,0.0008823247,0.00019899143,0.000450532,0.0002053402,0.01059907],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99522483,0.0010979681,0.00022630641,0.0010405236,0.0017006684,0.0007095669],"domain_scores_gemma":[0.97515184,0.014270718,0.0027611149,0.0037058464,0.0027294361,0.0013810162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.010729568,0.0015026139,0.0019295581,0.0030207038,0.0014107683,0.0025451428,0.002957395,0.0022906524,0.005564373],"category_scores_gemma":[0.03791278,0.00075494254,0.0020803388,0.0014155518,0.0064544934,0.009957587,0.005899556,0.004530451,0.0006523793],"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":[0.00014264864,0.000054862376,0.0041160537,0.00021616246,0.00008662225,0.00022118584,0.00022694672,0.025122618,0.0027978115,0.9499479,0.0035378889,0.013529327],"study_design_scores_gemma":[0.000056604913,0.00012081279,0.0024616055,0.000087228225,0.000045705343,0.0005447955,0.00009749739,0.16087711,0.002857444,0.8266358,0.006134677,0.00008073711],"about_ca_topic_score_codex":0.0014168735,"about_ca_topic_score_gemma":0.0006468688,"teacher_disagreement_score":0.010729568,"about_ca_system_score_codex":0.0021676929,"about_ca_system_score_gemma":0.0008696926,"threshold_uncertainty_score":0.05674404},"labels":[],"label_agreement":null},{"id":"W4415651320","doi":"10.1215/00127094-2025-0017","title":"Reciprocity obstructions in semigroup orbits in SL(2,Z)","year":2025,"lang":"","type":"article","venue":"Duke Mathematical Journal","topic":"semigroups and automata theory","field":"Computer Science","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":"Saint Mary's University","funders":"","keywords":"Semigroup; Conjecture; Reciprocity (cultural anthropology); Algebraic number; Finite set; Rational number; Congruence (geometry); Hausdorff dimension","score_opus":0.012829907226058982,"score_gpt":0.273142923055323,"score_spread":0.260313015829264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415651320","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":[0.9625269,0.00016488349,0.023926813,0.00012261013,0.00003552709,0.000024922118,0.000079871104,0.00011042487,0.013007937],"genre_scores_gemma":[0.9917671,0.00007384588,0.0052299863,0.000021913651,0.000029421437,0.000026631815,0.00011904245,0.000027469707,0.00270461],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996526,0.000045813274,0.000029370925,0.00006384366,0.00010475838,0.000103687606],"domain_scores_gemma":[0.99889416,0.00045032008,0.00023302341,0.0001433018,0.000094631476,0.00018451082],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041420397,0.0002949096,0.0003313298,0.00090048485,0.0010777274,0.0012870868,0.00023976067,0.00033680364,0.0033078385],"category_scores_gemma":[0.0020373128,0.00020433597,0.0006151842,0.00030002595,0.0018384956,0.0012417294,0.0012771173,0.00067590177,0.00036119507],"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":[0.00020704286,0.000044806147,0.005234497,0.00008201893,0.0000149475745,0.0012046755,0.0018818061,0.0055023907,0.013218016,0.9626425,0.0005963839,0.009370908],"study_design_scores_gemma":[0.000079703146,0.0002090192,0.00621095,0.000060083963,0.000028550458,0.0011554619,0.0009828429,0.044110335,0.011846805,0.9261914,0.009056183,0.00006865031],"about_ca_topic_score_codex":0.00094954367,"about_ca_topic_score_gemma":0.0005614929,"teacher_disagreement_score":0.0033078385,"about_ca_system_score_codex":0.0005537025,"about_ca_system_score_gemma":0.0003392046,"threshold_uncertainty_score":0.011065841},"labels":[],"label_agreement":null},{"id":"W4415951229","doi":"10.1215/00127094-2025-0016","title":"Abelian varieties not isogenous to Jacobians over global fields","year":2025,"lang":"","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","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":"University of Toronto","funders":"","keywords":"Abelian group; Abelian variety; Field (mathematics); Algebra over a field; Abelian variety of CM-type","score_opus":0.021590089666261875,"score_gpt":0.3321565992620064,"score_spread":0.31056650959574456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415951229","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":[0.81993663,0.0006488963,0.020052148,0.0011352305,0.0008196867,0.00009960946,0.00024208367,0.00041461948,0.15665114],"genre_scores_gemma":[0.96914536,0.00037246526,0.002255993,0.00020242494,0.0004905339,0.00003493367,0.00028902167,0.00013562643,0.02707366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890697,0.00016687447,0.00005175533,0.00027371207,0.00025628164,0.00034437788],"domain_scores_gemma":[0.9978231,0.0005736324,0.00038424015,0.00030772973,0.00028950055,0.00062176335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092397875,0.0011687018,0.0014014248,0.0043713716,0.0033544481,0.0056885793,0.0011750405,0.0012242356,0.009386762],"category_scores_gemma":[0.0030861557,0.0007870833,0.0010114999,0.0019611649,0.005263111,0.008853315,0.003911874,0.0039592586,0.0011940963],"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":[0.00014251105,0.0000704647,0.00066062715,0.000035705725,0.000018155313,0.00033378977,0.00056795235,0.00042621253,0.0016299598,0.991964,0.0008365167,0.0033140818],"study_design_scores_gemma":[0.00007755132,0.000097471166,0.0017475834,0.000022051612,0.000038505783,0.00051007426,0.0005306252,0.0012346077,0.0010859544,0.9886451,0.0059802295,0.000030344894],"about_ca_topic_score_codex":0.00074898096,"about_ca_topic_score_gemma":0.00065667444,"teacher_disagreement_score":0.009386762,"about_ca_system_score_codex":0.0014415125,"about_ca_system_score_gemma":0.00066990184,"threshold_uncertainty_score":0.031401813},"labels":[],"label_agreement":null},{"id":"W4416453872","doi":"10.1215/00127094-2025-0022","title":"Metaplectic covers of p-adic groups and quantum groups at roots of unity","year":2025,"lang":"","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Algebra and Geometry","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 Alberta","funders":"","keywords":"Representation theory; Root of unity; Conjecture; Type (biology); Algebra over a field; Cover (algebra); Group (periodic table); Langlands program; Quantum","score_opus":0.019950762390044972,"score_gpt":0.30008991101909915,"score_spread":0.2801391486290542,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416453872","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":[0.95555305,0.0003723403,0.018729025,0.00023796447,0.00004055236,0.000019998784,0.000050315117,0.00006551873,0.024931367],"genre_scores_gemma":[0.99197197,0.00013622921,0.0036412093,0.000026238904,0.000044922253,0.0000119783135,0.0000394476,0.000012814165,0.0041151256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99987674,0.000018019391,0.0000057369666,0.000026717016,0.000037715716,0.000035096895],"domain_scores_gemma":[0.9998845,0.000017061915,0.00003238666,0.000014376427,0.000009792219,0.00004191377],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000161422,0.0004969138,0.00031345832,0.0011548739,0.0007317746,0.0009399703,0.00035992,0.00044006333,0.0031316828],"category_scores_gemma":[0.00028588268,0.00016790439,0.00034597464,0.0004968143,0.0013478308,0.0015129679,0.000997274,0.0006535374,0.00036239583],"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":[0.00005316069,0.000032102296,0.0013805616,0.00004841721,0.000010028561,0.0010740103,0.00095397077,0.0033225766,0.013882425,0.9722535,0.0003150383,0.0066742506],"study_design_scores_gemma":[0.000026193848,0.00023650713,0.006875648,0.000048395028,0.000024350473,0.0021374577,0.0009169852,0.026906727,0.010034208,0.9429342,0.009820722,0.000038649763],"about_ca_topic_score_codex":0.0003037711,"about_ca_topic_score_gemma":0.00030661555,"teacher_disagreement_score":0.0031316828,"about_ca_system_score_codex":0.000446293,"about_ca_system_score_gemma":0.00014933432,"threshold_uncertainty_score":0.01047653},"labels":[],"label_agreement":null},{"id":"W7111137742","doi":"10.1215/00127094-2025-0020","title":"Polynomial time decay for solutions of the Klein–Gordon equation on a subextremal Reissner–Nordström black hole","year":2025,"lang":"","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","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":"University of Toronto","funders":"","keywords":"Polynomial; Black hole (networking); Extremal black hole; Black box; Time complexity","score_opus":0.05309920858290545,"score_gpt":0.31616756818390784,"score_spread":0.2630683596010024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7111137742","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":[0.90056574,0.0008934878,0.077086546,0.003971517,0.00038715207,0.000073409625,0.00015853044,0.0005471828,0.016316447],"genre_scores_gemma":[0.9803554,0.0003924028,0.007863925,0.0002726699,0.00019730706,0.000046942325,0.00017550644,0.00020508081,0.010490838],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993851,0.0001772465,0.000035214583,0.00007673783,0.00012720114,0.00019837402],"domain_scores_gemma":[0.99379903,0.0027289076,0.0010699986,0.00036327617,0.0007057975,0.0013328723],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022970035,0.0014210275,0.0014897251,0.0025058317,0.0020400505,0.0031613698,0.0026524048,0.0029486078,0.0061543803],"category_scores_gemma":[0.014578714,0.00080878154,0.00141569,0.0011859608,0.005156569,0.0070316405,0.00313186,0.003790467,0.00059773086],"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":[0.0007660425,0.00023436977,0.0022030245,0.00027265784,0.00006685203,0.0010715437,0.001132807,0.023045389,0.015876358,0.94908327,0.0019407046,0.0043068444],"study_design_scores_gemma":[0.00018844704,0.00012355018,0.0019937886,0.00005765591,0.000041487976,0.00031900752,0.00039449485,0.42886916,0.002302179,0.56498605,0.0005935563,0.00013072668],"about_ca_topic_score_codex":0.0035257682,"about_ca_topic_score_gemma":0.0019001946,"teacher_disagreement_score":0.0061543803,"about_ca_system_score_codex":0.002333972,"about_ca_system_score_gemma":0.0019810335,"threshold_uncertainty_score":0.020588458},"labels":[],"label_agreement":null}]}