{"meta":{"query_hash":"4d444491bee1","filters":{"venue":"Pure and Applied Mathematics Quarterly"},"cohort_total":22,"direct_labels_cover":0,"predictions_cover":22,"exported":22,"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/4d444491bee1","api":"https://metacan.xera.ac/api/v1/cohort?venue=Pure+and+Applied+Mathematics+Quarterly"},"results":[{"id":"W2031961479","doi":"10.4310/pamq.2013.v9.n2.a2","title":"Curvatures of Sobolev metrics on diffeomorphism groups","year":2013,"lang":"en","type":"preprint","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Curvature; Diffeomorphism; Mathematics; Sobolev space; Sectional curvature; Geodesic; Context (archaeology); Mathematical analysis; Instability; Stability (learning theory); Mean curvature; Pure mathematics; Scalar curvature; Geometry; Physics; Geology; Mechanics; Computer science","score_opus":0.03399589707306453,"score_gpt":0.28103121219245986,"score_spread":0.24703531511939533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031961479","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":[0.854931,0.0029844274,0.114745006,0.0014365582,0.00010680471,0.000048745762,0.00019952834,0.00018036185,0.025367517],"genre_scores_gemma":[0.9867343,0.0010330194,0.0073339217,0.000078169054,0.00008650553,0.000018174025,0.00011011195,0.000044594508,0.004561314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996885,0.000103012906,0.000022018074,0.00004082674,0.000102366066,0.0000432985],"domain_scores_gemma":[0.9990626,0.00031083045,0.0002212426,0.00008033773,0.00015445768,0.00017046307],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006536682,0.0005984805,0.00029887544,0.0029606237,0.00046209386,0.001248472,0.00040680513,0.0006551407,0.001352622],"category_scores_gemma":[0.0026794446,0.00038112493,0.0003146059,0.0006857605,0.0017260802,0.0019776686,0.0013203934,0.0005905967,0.00028223876],"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":[0.000026962103,0.000017764763,0.0030960592,0.00008078066,0.000019583236,0.00021709902,0.00055957935,0.014949791,0.008649042,0.9624704,0.0009295691,0.008983435],"study_design_scores_gemma":[0.0000062791228,0.000022894115,0.0043759975,0.00001844013,0.000008877771,0.00023582848,0.00013461869,0.059050813,0.0019665863,0.9311881,0.0029621285,0.000029502482],"about_ca_topic_score_codex":0.0008920956,"about_ca_topic_score_gemma":0.0006618892,"teacher_disagreement_score":0.0029606237,"about_ca_system_score_codex":0.0007797847,"about_ca_system_score_gemma":0.00023785765,"threshold_uncertainty_score":0.0056577325},"labels":[],"label_agreement":null},{"id":"W2167547054","doi":"10.4310/pamq.2005.v1.n4.a8","title":"A Conjecture about the Analytical Behaviour of Eisenstein Series","year":2005,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Conjecture; Quotient; Eisenstein series; Completeness (order theory); Algebra over a field; Pure mathematics; Residual; Space (punctuation); Mathematical analysis; Modular form","score_opus":0.016684926354247644,"score_gpt":0.2746831258782396,"score_spread":0.257998199523992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2167547054","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":[0.66020375,0.0011720471,0.13388652,0.013564248,0.00034974,0.00003287467,0.00014420145,0.00047267205,0.19017398],"genre_scores_gemma":[0.9831511,0.00025223853,0.0036863412,0.0003238968,0.00021992122,0.000014213426,0.000045844194,0.00003285144,0.012273727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993311,0.0001383566,0.00003347228,0.00014113079,0.00021588408,0.00014002863],"domain_scores_gemma":[0.9977469,0.0010198148,0.0002483281,0.0003611668,0.00037384525,0.00024998287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020201989,0.0004234988,0.00044925872,0.00093224243,0.0010853362,0.002701451,0.0010356008,0.0011802246,0.0054870336],"category_scores_gemma":[0.008037654,0.00025478844,0.00045230336,0.00068817864,0.0066191703,0.005270458,0.0013174327,0.0015398265,0.0008555419],"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":[0.000015403113,0.000009106708,0.00038735062,0.0000141661085,0.000002162521,0.00006273216,0.00021935992,0.00043834242,0.0006816549,0.9960211,0.0004724406,0.0016762152],"study_design_scores_gemma":[0.000011957731,0.0000332583,0.00044833793,0.000015599406,0.000003702446,0.00017721466,0.0001390645,0.0039399653,0.001142052,0.9913087,0.0027708483,0.000009212695],"about_ca_topic_score_codex":0.00040604398,"about_ca_topic_score_gemma":0.00018197838,"teacher_disagreement_score":0.0054870336,"about_ca_system_score_codex":0.00079973787,"about_ca_system_score_gemma":0.00042983657,"threshold_uncertainty_score":0.018355906},"labels":[],"label_agreement":null},{"id":"W2322647583","doi":"10.4310/pamq.2008.v4.n4.a12","title":"On a Generalization of Artin's Conjecture","year":2008,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Generalization; Conjecture; Artin L-function; Pure mathematics; Algebra over a field; Conductor; Mathematical analysis; Geometry","score_opus":0.0186597667367803,"score_gpt":0.2429934244071209,"score_spread":0.2243336576703406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2322647583","genre_codex":"other","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":[0.17470561,0.004483113,0.09236619,0.06630479,0.007341136,0.00007519215,0.000689181,0.00064737553,0.6533874],"genre_scores_gemma":[0.9175096,0.002789844,0.016699778,0.009505283,0.0062188045,0.000101998055,0.0006477943,0.0001555866,0.046371374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853396,0.0003553142,0.000072153474,0.00039601926,0.00038992858,0.000252561],"domain_scores_gemma":[0.99650085,0.0017530285,0.0002754556,0.0007295364,0.0004528909,0.0002882178],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026555539,0.0008305926,0.0017030842,0.0022214476,0.003572357,0.0030829036,0.0022140592,0.003108342,0.015198296],"category_scores_gemma":[0.008582609,0.00044727902,0.0014618511,0.0021900022,0.007501654,0.013054114,0.004901997,0.0049853316,0.0019727477],"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":[0.00003748383,0.000018532815,0.00018738698,0.00004131684,0.0000074243576,0.00007126177,0.00016594319,0.0004763867,0.00014528711,0.9888946,0.0063913437,0.0035629766],"study_design_scores_gemma":[0.000010932755,0.000006125074,0.00013986093,0.000011421796,0.000003899502,0.000047291313,0.00004440862,0.00095863146,0.000034755158,0.9951906,0.0035465325,0.000005455776],"about_ca_topic_score_codex":0.0017947903,"about_ca_topic_score_gemma":0.0014171475,"teacher_disagreement_score":0.015198296,"about_ca_system_score_codex":0.0017983442,"about_ca_system_score_gemma":0.00084404094,"threshold_uncertainty_score":0.050843358},"labels":[],"label_agreement":null},{"id":"W2324094609","doi":"10.4310/pamq.2006.v2.n3.a9","title":"Combinatorial Identities in the Theory of SU(n) Casson Invariants of Knots","year":2006,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Knot theory; Algebra over a field; Combinatorics; Knot (papermaking)","score_opus":0.01826797059640894,"score_gpt":0.2472068030592479,"score_spread":0.22893883246283894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2324094609","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":[0.85013825,0.00091284164,0.057006516,0.0008693566,0.0005479085,0.000054583354,0.000103951905,0.00031971443,0.090046965],"genre_scores_gemma":[0.98653734,0.00034528895,0.006663932,0.00009293157,0.00023928736,0.000051712963,0.000096717806,0.00006598558,0.005906828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903846,0.00018444985,0.000058080364,0.00010725447,0.00045127276,0.00016047058],"domain_scores_gemma":[0.9986236,0.00062613806,0.00021326284,0.00013764795,0.00019330796,0.00020612073],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015956463,0.0010656045,0.0010722511,0.00532648,0.0033342899,0.0055835275,0.0017744512,0.0012497802,0.004467328],"category_scores_gemma":[0.0040406943,0.0005577575,0.0009586461,0.0024529602,0.004871724,0.0058965394,0.0022110846,0.001737844,0.00054953597],"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":[0.000023625926,0.00004619278,0.00097428245,0.000044514596,0.000007755553,0.00019029473,0.00026394142,0.0032970395,0.00074699864,0.99006665,0.0005086561,0.0038300988],"study_design_scores_gemma":[0.0000115015155,0.000019625379,0.00069729635,0.000024436245,0.000015008018,0.00019674994,0.00013674323,0.023615459,0.0009447438,0.9732968,0.001019565,0.0000219631],"about_ca_topic_score_codex":0.0013849655,"about_ca_topic_score_gemma":0.0018392876,"teacher_disagreement_score":0.0055835275,"about_ca_system_score_codex":0.0019344821,"about_ca_system_score_gemma":0.00093648926,"threshold_uncertainty_score":0.014944732},"labels":[],"label_agreement":null},{"id":"W2785502289","doi":"10.4310/pamq.2020.v16.n1.a1","title":"Holographic codes on Bruhat–Tits buildings and Drinfeld symmetric spaces","year":2020,"lang":"en","type":"preprint","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Geometry","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":"Perimeter Institute","funders":"","keywords":"Pure mathematics; Context (archaeology); Holography; Mathematics; Architectural engineering; Algebra over a field; Physics; Geography; Engineering; Quantum mechanics","score_opus":0.028307409734379015,"score_gpt":0.2800443719582949,"score_spread":0.2517369622239159,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2785502289","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":[0.5359158,0.0016825087,0.22877237,0.0021734703,0.00028876547,0.00011583167,0.00065224356,0.0002800027,0.23011905],"genre_scores_gemma":[0.94056976,0.00064620265,0.031228397,0.00023328835,0.00019302659,0.000056021414,0.00035349382,0.00007628793,0.026643371],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947506,0.00013298393,0.000019322524,0.00005879836,0.0002117483,0.00010209495],"domain_scores_gemma":[0.999382,0.00018130879,0.00008562313,0.00011315638,0.0001221345,0.0001157625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039134332,0.00031403292,0.00033746895,0.0013002477,0.0010194844,0.001467727,0.00049990445,0.0007944642,0.0039751194],"category_scores_gemma":[0.0011281037,0.00025767306,0.00037267926,0.00088123913,0.0022983097,0.002113163,0.0012112412,0.0014432548,0.0006328624],"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":[0.000004503672,0.0000026167322,0.000037739148,0.0000067377055,7.6918354e-7,0.00002223675,0.00008388558,0.00038748494,0.00034720727,0.9975426,0.0002485016,0.0013157324],"study_design_scores_gemma":[0.0000105632,0.000012743887,0.0002165877,0.000012538632,0.0000020875946,0.00012467858,0.00011977558,0.0042583565,0.0009098005,0.9896186,0.0047012498,0.000013009373],"about_ca_topic_score_codex":0.001897675,"about_ca_topic_score_gemma":0.0022507333,"teacher_disagreement_score":0.0039751194,"about_ca_system_score_codex":0.0010448139,"about_ca_system_score_gemma":0.0005207875,"threshold_uncertainty_score":0.013298094},"labels":[],"label_agreement":null},{"id":"W2886573324","doi":"10.4310/pamq.2021.v17.n1.a3","title":"Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles","year":2021,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Noncommutative and Quantum Gravity Theories","field":"Physics and Astronomy","cited_by":25,"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":"Fock space; Mathematics; Tensor product; Hilbert space; Scalar (mathematics); Unitary state; Nonlinear system; Conservation law; Mathematical analysis; Pure mathematics; Quantum mechanics; Law; Geometry; Physics","score_opus":0.020103246878313358,"score_gpt":0.2661858943520234,"score_spread":0.24608264747371003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2886573324","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":[0.39214206,0.0007016643,0.54122937,0.0014566113,0.00020732246,0.00006750909,0.0001914308,0.0001622362,0.06384189],"genre_scores_gemma":[0.9514027,0.000324524,0.038446117,0.00017162718,0.00012155124,0.00007294072,0.00009820209,0.00010578818,0.009256575],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996061,0.00010299037,0.000016926038,0.000057886962,0.00013454592,0.00008165675],"domain_scores_gemma":[0.9992975,0.00018620645,0.0001356479,0.00010071003,0.00013783373,0.00014202473],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009893926,0.00042914035,0.00034439945,0.0013346316,0.0011234008,0.0022753836,0.00066961686,0.00086991105,0.0044338116],"category_scores_gemma":[0.0020604685,0.00023973074,0.0006560558,0.00052596745,0.0032710386,0.0035770005,0.0014689903,0.0013323354,0.0003201301],"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":[0.0000014556123,0.0000037706773,0.00004945312,0.0000036584809,0.0000010650319,0.000015770182,0.000038320755,0.0008164234,0.00032744784,0.9982169,0.00007098284,0.00045459918],"study_design_scores_gemma":[0.000004552745,0.000011718612,0.00022704268,0.0000071974227,0.0000015552105,0.000050668867,0.000053659467,0.030187996,0.00030848046,0.9681836,0.0009558256,0.00000770204],"about_ca_topic_score_codex":0.001222288,"about_ca_topic_score_gemma":0.00091801473,"teacher_disagreement_score":0.0044338116,"about_ca_system_score_codex":0.0016364409,"about_ca_system_score_gemma":0.0007561924,"threshold_uncertainty_score":0.014832556},"labels":[],"label_agreement":null},{"id":"W2950359593","doi":"10.4310/pamq.2021.v17.n3.a6","title":"Morse-type integrals on non-Kähler manifolds","year":2021,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Geometry and complex manifolds","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":"McGill University","funders":"Division of Mathematical Sciences; Harvard University; National Science Foundation","keywords":"Hermitian matrix; Conjecture; Manifold (fluid mechanics); Hermitian manifold; Complex manifold; 3-manifold","score_opus":0.03477104309273882,"score_gpt":0.2776248093114892,"score_spread":0.24285376621875038,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950359593","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":[0.9277046,0.00060867536,0.023679497,0.001568194,0.00019556594,0.000022078726,0.00009148001,0.00012823986,0.04600176],"genre_scores_gemma":[0.9933676,0.000233128,0.0023301765,0.00011642851,0.00020070726,0.00001348869,0.000053925687,0.000023326133,0.0036611762],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949706,0.000078241006,0.000027936507,0.00009787002,0.00017647124,0.0001224782],"domain_scores_gemma":[0.99869764,0.0004068098,0.00024735258,0.00015862362,0.00016650681,0.00032295892],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010940316,0.0006063039,0.0007257962,0.002659951,0.0020101978,0.0026933248,0.0008681605,0.0017906493,0.0041026874],"category_scores_gemma":[0.004153738,0.00030217608,0.0005529201,0.00096759194,0.0027270424,0.0061982307,0.0015265325,0.0016369598,0.0003464093],"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":[0.000023553264,0.000025023566,0.00094991253,0.000026167063,0.000005663597,0.00019120066,0.00029672822,0.000574739,0.0013697492,0.99324155,0.00061735726,0.0026783983],"study_design_scores_gemma":[0.00001165494,0.000021675385,0.0017312062,0.0000193199,0.0000050903745,0.00034146378,0.000167776,0.0052904254,0.0007080731,0.9904226,0.0012685062,0.000012167977],"about_ca_topic_score_codex":0.0005011585,"about_ca_topic_score_gemma":0.0004471008,"teacher_disagreement_score":0.0041026874,"about_ca_system_score_codex":0.0010643465,"about_ca_system_score_gemma":0.00024040414,"threshold_uncertainty_score":0.013724804},"labels":[],"label_agreement":null},{"id":"W2952666681","doi":"10.4310/pamq.2021.v17.n3.a7","title":"The complex Monge–Ampère equation with a gradient term","year":2021,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Geometry and complex manifolds","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":"McGill University","funders":"","keywords":"Term (time); Uniqueness; Hermitian matrix; Partial differential equation; Functional equation; Uniqueness theorem for Poisson's equation","score_opus":0.04494010670023621,"score_gpt":0.2574055232852435,"score_spread":0.2124654165850073,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952666681","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":[0.3186513,0.0034431007,0.5429577,0.0077430806,0.0013872653,0.00012358358,0.00028854542,0.00020961738,0.12519579],"genre_scores_gemma":[0.89126194,0.0017452311,0.04684323,0.0008599473,0.0006873931,0.000091819165,0.00012682832,0.000108423264,0.05827516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977344,0.00006403493,0.000009487329,0.00004320862,0.000063049854,0.000046779576],"domain_scores_gemma":[0.99969697,0.00009092678,0.0000461521,0.00002877584,0.00007397442,0.000063283216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053509994,0.0006984444,0.000784967,0.00080903515,0.00084396295,0.0016707057,0.00091052614,0.0019608345,0.0040933597],"category_scores_gemma":[0.0017118101,0.00028971137,0.00055106136,0.00053767266,0.0018895466,0.0026511475,0.0016036592,0.0017424512,0.00081099605],"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":[0.000011870428,0.000015904854,0.00017176406,0.000040562365,0.00000918559,0.00018338517,0.000106806256,0.005479694,0.0022688452,0.9875404,0.0011585879,0.0030129813],"study_design_scores_gemma":[0.000040201936,0.000049876522,0.00038647722,0.000029026984,0.000011286353,0.0006189113,0.0001633415,0.14826664,0.0014094083,0.84248126,0.0065025515,0.000040926407],"about_ca_topic_score_codex":0.0012516225,"about_ca_topic_score_gemma":0.0007105562,"teacher_disagreement_score":0.0040933597,"about_ca_system_score_codex":0.0006178993,"about_ca_system_score_gemma":0.00064295874,"threshold_uncertainty_score":0.013693631},"labels":[],"label_agreement":null},{"id":"W2962935272","doi":"10.4310/pamq.2014.v10.n4.a3","title":"Intersection Cohomology of the Universal Imploded Cross-Section of $\\mathrm{SU}(3)$","year":2014,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Section (typography); Cohomology; Intersection homology; Intersection (aeronautics); Pure mathematics","score_opus":0.0133700529377809,"score_gpt":0.26428169271214486,"score_spread":0.250911639774364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962935272","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":[0.90185946,0.00029242347,0.034773607,0.00031531838,0.00010698645,0.000022192125,0.00019660806,0.00027032502,0.062163018],"genre_scores_gemma":[0.99209774,0.00009349244,0.003636597,0.00003628338,0.00004125558,0.0000116940855,0.00014063617,0.000060755636,0.0038814766],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973935,0.000026207359,0.000007980582,0.00005475376,0.000083519146,0.00008812054],"domain_scores_gemma":[0.99977344,0.0000381991,0.000043284504,0.00003159441,0.000046550653,0.00006696431],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029763338,0.0006561943,0.00046649462,0.002492653,0.0011313112,0.0016844734,0.00093870657,0.00046188646,0.010900641],"category_scores_gemma":[0.0005582067,0.00020302471,0.0005120682,0.0007639774,0.0016494752,0.0026444423,0.0022372205,0.0013295555,0.0007946039],"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":[0.000059613776,0.000042654618,0.002490719,0.00006188681,0.000020043475,0.00038962867,0.0004585432,0.0030027693,0.0049357265,0.9773523,0.0011493519,0.01003686],"study_design_scores_gemma":[0.00002209147,0.00009434529,0.007566622,0.000051457213,0.000038967235,0.0009894116,0.0010595227,0.05188759,0.013820806,0.9165337,0.007862491,0.000072946816],"about_ca_topic_score_codex":0.0011521555,"about_ca_topic_score_gemma":0.0010587702,"teacher_disagreement_score":0.010900641,"about_ca_system_score_codex":0.0008594241,"about_ca_system_score_gemma":0.00029677368,"threshold_uncertainty_score":0.0364663},"labels":[],"label_agreement":null},{"id":"W2963567649","doi":"10.4310/pamq.2006.v2.n3.a11","title":"Intersection Numbers in Quasi-Hamiltonian Reduced Spaces","year":2006,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","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 Toronto","funders":"","keywords":"Mathematics; Moduli space; Diagonal; Pure mathematics; Hamiltonian (control theory); Intersection (aeronautics); Lie group; Combinatorics; Geometry","score_opus":0.01112246227637254,"score_gpt":0.25597561285270737,"score_spread":0.24485315057633483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963567649","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":[0.37655497,0.0028977995,0.44073844,0.0018935179,0.0014241271,0.00031268396,0.00066361437,0.00053724676,0.17497765],"genre_scores_gemma":[0.8706986,0.0017036565,0.098707676,0.00025550864,0.0009183559,0.0003666179,0.0004633225,0.00027719862,0.02660911],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983387,0.00045522582,0.00015861046,0.00025236138,0.00046656592,0.0003284975],"domain_scores_gemma":[0.9979665,0.0007555374,0.00023836357,0.00016748659,0.00057238113,0.00029966657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017180631,0.001347678,0.0014837267,0.007453821,0.0029212602,0.004441351,0.0012966433,0.0021823873,0.00833417],"category_scores_gemma":[0.005156227,0.0007983978,0.0011520364,0.0027672313,0.0055717877,0.010286127,0.0041958597,0.0044462495,0.0020972067],"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":[0.00002650337,0.000021630018,0.00017371103,0.000052881594,0.0000053866843,0.000096046584,0.00032637484,0.0005477122,0.00056926993,0.99162287,0.00069645385,0.0058610733],"study_design_scores_gemma":[0.000014438604,0.00007399883,0.00031723577,0.000033657474,0.000012363603,0.000210203,0.0002019614,0.0065504154,0.0018830458,0.9847585,0.005896062,0.000048143924],"about_ca_topic_score_codex":0.0005345339,"about_ca_topic_score_gemma":0.0005666909,"teacher_disagreement_score":0.00833417,"about_ca_system_score_codex":0.001459223,"about_ca_system_score_gemma":0.0006883879,"threshold_uncertainty_score":0.02788055},"labels":[],"label_agreement":null},{"id":"W2964130041","doi":"10.4310/pamq.2008.v4.n4.a5","title":"Non-abelian Pseudomeasures and Congruences between Abelian Iwasawa L-functions","year":2008,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":9,"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; Abelian group; Congruence relation; Pure mathematics; Arithmetic of abelian varieties; Rank of an abelian group; Elementary abelian group; Algebra over a field","score_opus":0.027160139700755707,"score_gpt":0.2529645510133145,"score_spread":0.2258044113125588,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964130041","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":[0.75558585,0.0022506535,0.14392516,0.0016598712,0.0006705508,0.00006003248,0.00010631542,0.00016431519,0.09557718],"genre_scores_gemma":[0.9834379,0.00061233755,0.009654359,0.00017636246,0.00039947726,0.00003991903,0.00007008086,0.00003115281,0.0055785454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877673,0.00033684864,0.000100704405,0.00016037577,0.00043441888,0.00019088754],"domain_scores_gemma":[0.99822265,0.00062703015,0.00036501448,0.00019050873,0.00027887334,0.00031595997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014786744,0.0006756146,0.000512797,0.0020037738,0.0013894532,0.0034543031,0.00058766676,0.00077922014,0.00217358],"category_scores_gemma":[0.0036774657,0.00030783462,0.00079642626,0.0010368342,0.0045987545,0.0053805267,0.0025820152,0.001807442,0.00041791314],"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":[0.000013829469,0.000008982733,0.0002658367,0.0000118908065,0.0000030193191,0.000092279806,0.00015756839,0.00015756043,0.0008234122,0.99605066,0.00012018225,0.0022947744],"study_design_scores_gemma":[0.000013715116,0.000058720227,0.00072144746,0.000014291321,0.0000067579185,0.00034424308,0.00023222195,0.0022050536,0.0015935142,0.9916892,0.003104902,0.000015789059],"about_ca_topic_score_codex":0.00020416769,"about_ca_topic_score_gemma":0.00014750799,"teacher_disagreement_score":0.0034543031,"about_ca_system_score_codex":0.0007082745,"about_ca_system_score_gemma":0.00045447508,"threshold_uncertainty_score":0.00782007},"labels":[],"label_agreement":null},{"id":"W3132798415","doi":"10.4310/pamq.2022.v18.n2.a4","title":"A fully-nonlinear flow and quermassintegral inequalities in the sphere","year":2022,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":29,"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":"Curvature; Regular polygon; Flow (mathematics); Mathematics; Nonlinear system; Focus (optics); Convergence (economics); Forcing (mathematics); Space (punctuation); Set (abstract data type); Current (fluid); Term (time); Mean curvature flow; Inequality; Mathematical analysis; Applied mathematics; Mathematical optimization; Computer science; Geometry; Physics; Mean curvature; Optics; Economics","score_opus":0.024744396435229382,"score_gpt":0.2526235268985798,"score_spread":0.22787913046335043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3132798415","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":[0.26609087,0.0076716053,0.61549103,0.005104823,0.00047905074,0.00004825527,0.00063267094,0.00015861468,0.10432308],"genre_scores_gemma":[0.9357415,0.0036283927,0.040467218,0.0006485416,0.00051706,0.00004785515,0.0002941787,0.00007134811,0.018583976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970645,0.00009874037,0.000016650556,0.00007319527,0.00007005909,0.0000348094],"domain_scores_gemma":[0.99940836,0.0002734246,0.00008465995,0.000051375107,0.000102379745,0.000079838275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000650094,0.0005075335,0.0003257118,0.00057168066,0.00047760998,0.0009619197,0.0003460637,0.00040511432,0.0040563717],"category_scores_gemma":[0.0016071345,0.0001227153,0.0005288044,0.00028741115,0.0018840223,0.0019833888,0.0015404007,0.0012383969,0.00033205425],"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":[0.000019745345,0.000004820225,0.00036431357,0.000077773715,0.000010137063,0.00009402852,0.00008767131,0.006091886,0.0022997414,0.98380685,0.00089551974,0.0062474473],"study_design_scores_gemma":[0.000008365688,0.00007169956,0.002004165,0.000051334446,0.000015315412,0.0002944679,0.00013463014,0.07183109,0.0016667475,0.90916723,0.014729454,0.000025447483],"about_ca_topic_score_codex":0.0015274959,"about_ca_topic_score_gemma":0.0011989076,"teacher_disagreement_score":0.0040563717,"about_ca_system_score_codex":0.0007831051,"about_ca_system_score_gemma":0.0003686831,"threshold_uncertainty_score":0.013569891},"labels":[],"label_agreement":null},{"id":"W4320152779","doi":"10.4310/pamq.2022.v18.n5.a1","title":"Real quadratic Borcherds products","year":2022,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Quadratic equation; Pure mathematics; Algebra over a field; Geometry","score_opus":0.021506198899683616,"score_gpt":0.27124925916325404,"score_spread":0.24974306026357043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4320152779","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":[0.6936938,0.0009134415,0.092286855,0.0014207097,0.0004675572,0.00009665727,0.00029041228,0.00041044783,0.21042019],"genre_scores_gemma":[0.9478184,0.00030030074,0.010802964,0.00015633901,0.00018385626,0.000031258587,0.00014837935,0.0000751231,0.040483404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967146,0.00005065508,0.00001718263,0.000080407386,0.00010954453,0.00007085392],"domain_scores_gemma":[0.9997218,0.000036300247,0.000047863577,0.00005448751,0.000060810955,0.000078633704],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047051732,0.00055852946,0.00036615942,0.0011293687,0.0008908393,0.0012975032,0.0003706697,0.0004987562,0.009133622],"category_scores_gemma":[0.0008968842,0.00023040742,0.00037772252,0.00040804583,0.0016668655,0.00254904,0.0014618983,0.0009566325,0.0011045372],"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":[0.000019782721,0.0000076202305,0.00012647444,0.000015895075,0.0000026053604,0.00008412778,0.00017949159,0.0002640802,0.0019240979,0.992735,0.0003939406,0.004246913],"study_design_scores_gemma":[0.000033005228,0.00009973153,0.0007075424,0.000023921006,0.000008632382,0.0004855863,0.0002459185,0.0047653727,0.0037873392,0.96623313,0.023589196,0.000020565243],"about_ca_topic_score_codex":0.0004429416,"about_ca_topic_score_gemma":0.00033989054,"teacher_disagreement_score":0.009133622,"about_ca_system_score_codex":0.000702233,"about_ca_system_score_gemma":0.0002950713,"threshold_uncertainty_score":0.03055495},"labels":[],"label_agreement":null},{"id":"W4361801280","doi":"10.4310/pamq.2022.v18.n6.a10","title":"An alternative proof of general factor structure theorem","year":2022,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Logic","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":"Thompson Rivers University","funders":"","keywords":"Mathematics; Factor (programming language); Calculus (dental); Analytic proof; Pure mathematics; Algebra over a field; Mathematical proof; Geometry","score_opus":0.01038921662758531,"score_gpt":0.23716205171775756,"score_spread":0.22677283509017226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4361801280","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":[0.03287576,0.002365856,0.6452006,0.0183893,0.0033707626,0.00010919968,0.0012249062,0.0012133669,0.29525015],"genre_scores_gemma":[0.68237895,0.002772286,0.21868603,0.0076200548,0.0029151922,0.00027797505,0.0012722565,0.00086499786,0.08321223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989637,0.00023135493,0.000046341513,0.00028893896,0.00029718265,0.00017241655],"domain_scores_gemma":[0.99783224,0.0009290206,0.00009147736,0.00040846903,0.00061606144,0.00012278074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001715352,0.0012084098,0.0009183555,0.0020057133,0.0015234068,0.0022196348,0.0024071534,0.001752314,0.030446144],"category_scores_gemma":[0.004733688,0.0005414723,0.0020905652,0.0017099646,0.002907324,0.009128971,0.0039155283,0.0030461545,0.0037303837],"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":[0.00003523962,0.000017842873,0.00011535084,0.00007956396,0.000013452668,0.00009153373,0.0001544846,0.0002530175,0.00053149665,0.9860735,0.00626943,0.0063649835],"study_design_scores_gemma":[0.00002613486,0.000016375456,0.000215793,0.000027729558,0.000021968628,0.00016006138,0.000064260705,0.0023218063,0.00055885076,0.9739699,0.02260317,0.000013898146],"about_ca_topic_score_codex":0.0022651323,"about_ca_topic_score_gemma":0.0016071736,"teacher_disagreement_score":0.030446144,"about_ca_system_score_codex":0.001718604,"about_ca_system_score_gemma":0.00094868045,"threshold_uncertainty_score":0.10185248},"labels":[],"label_agreement":null},{"id":"W4362714508","doi":"10.4310/pamq.2023.v19.n2.a8","title":"On the $\\mu$ equals zero conjecture for fine Selmer groups in Iwasawa theory","year":2023,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Galois group; Iwasawa theory; Conjecture; Pure mathematics; Zero (linguistics); Galois module; Invariant (physics); Galois cohomology; Embedding problem; Differential Galois theory; Fundamental theorem of Galois theory; Algebra over a field; Linguistics; Mathematical physics","score_opus":0.026088603525244256,"score_gpt":0.2700715027869285,"score_spread":0.24398289926168423,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4362714508","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":[0.77556396,0.001258944,0.051596146,0.0068923556,0.0005637804,0.000037170033,0.000121647085,0.00024576386,0.16372024],"genre_scores_gemma":[0.9894633,0.00031731016,0.0022908598,0.0003240163,0.00034814974,0.00001895836,0.00007250633,0.000023194734,0.007141668],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945766,0.00013808081,0.00002790444,0.00012091521,0.00013283991,0.00012262636],"domain_scores_gemma":[0.99864024,0.00060905155,0.0002186362,0.0002227926,0.0001142013,0.00019507311],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017946057,0.00054277136,0.0007247992,0.0014373056,0.0025369485,0.0038216196,0.0010818781,0.0018527877,0.005820349],"category_scores_gemma":[0.003450743,0.00029290194,0.0005854342,0.0008556157,0.008131286,0.0052748723,0.002523112,0.0016537162,0.0007501085],"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":[0.000014798159,0.000011629695,0.00028958984,0.000015975376,0.0000024236388,0.00009216526,0.0001647445,0.00032085562,0.00036699098,0.9967801,0.0005202121,0.0014205236],"study_design_scores_gemma":[0.0000070946694,0.000017882085,0.00023221,0.000014444389,0.0000033958531,0.00008581289,0.00015224726,0.001399511,0.00029625683,0.9968066,0.0009784544,0.000006173698],"about_ca_topic_score_codex":0.000585172,"about_ca_topic_score_gemma":0.00046691083,"teacher_disagreement_score":0.005820349,"about_ca_system_score_codex":0.000921827,"about_ca_system_score_gemma":0.0004364567,"threshold_uncertainty_score":0.01947105},"labels":[],"label_agreement":null},{"id":"W4388837899","doi":"10.4310/pamq.2023.v19.n4.a7","title":"Lower bounds for Steklov eigenfunctions","year":2023,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Spectral Theory in Mathematical Physics","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":"McGill University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Eigenfunction; Pure mathematics; Algebra over a field; Eigenvalues and eigenvectors","score_opus":0.03797618224071687,"score_gpt":0.3024715864946338,"score_spread":0.26449540425391693,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388837899","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":[0.08002229,0.013429556,0.6473431,0.017310746,0.0023285577,0.00016419477,0.0018588671,0.0017164443,0.23582631],"genre_scores_gemma":[0.7713147,0.016211655,0.113248564,0.0066837096,0.0071741445,0.0009374668,0.0039560664,0.0040103905,0.07646326],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99325484,0.0020053342,0.00027865733,0.00087105593,0.0021220928,0.0014680984],"domain_scores_gemma":[0.94218177,0.04344906,0.0019466876,0.0042823516,0.0043165395,0.0038235602],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009993863,0.00517834,0.004169987,0.012239983,0.004628883,0.010747268,0.008274826,0.004942221,0.02942158],"category_scores_gemma":[0.054373957,0.0023091128,0.0031559288,0.007216901,0.0084791435,0.02121894,0.013090058,0.016668182,0.008007815],"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":[0.00022012269,0.00011874864,0.00051592244,0.00031658183,0.000065867425,0.000084083265,0.0003013433,0.00650118,0.0014195642,0.9672464,0.010233957,0.01297629],"study_design_scores_gemma":[0.000014427098,0.000023661465,0.00024525326,0.000119298245,0.000038833987,0.0000648262,0.00006489646,0.027841195,0.0007760556,0.9678054,0.0029740206,0.00003220974],"about_ca_topic_score_codex":0.0011144854,"about_ca_topic_score_gemma":0.0016805242,"teacher_disagreement_score":0.02942158,"about_ca_system_score_codex":0.005021393,"about_ca_system_score_gemma":0.0022363544,"threshold_uncertainty_score":0.09842497},"labels":[],"label_agreement":null},{"id":"W4388837901","doi":"10.4310/pamq.2023.v19.n4.a14","title":"Singular Lie filtrations and weightings","year":2023,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":1,"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; Pure mathematics; Simple Lie group; Algebra over a field; Lie group","score_opus":0.009152403469904043,"score_gpt":0.23275851281575893,"score_spread":0.2236061093458549,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388837901","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":[0.4635893,0.002859489,0.3679895,0.0047226767,0.0006918558,0.0000758984,0.00047094334,0.0005805323,0.15901977],"genre_scores_gemma":[0.91261697,0.001351158,0.02276878,0.00058677414,0.000670306,0.000063615116,0.00026891378,0.00015602799,0.06151751],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993119,0.00015731773,0.00005085987,0.00013545454,0.00018814486,0.00015633885],"domain_scores_gemma":[0.9982571,0.0003939855,0.00031011636,0.00020427967,0.0003306717,0.00050385843],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014942416,0.000865993,0.0010225042,0.004083045,0.0024552355,0.0037815452,0.0007125051,0.001071914,0.0061638164],"category_scores_gemma":[0.0027208456,0.0005007307,0.0009001829,0.0020066395,0.0034630764,0.006610847,0.002924202,0.0018778266,0.00090452435],"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":[0.0000062524923,0.0000071050167,0.000062666375,0.0000066271655,0.000003677372,0.000027569695,0.00010781852,0.00012661914,0.00020802018,0.9977902,0.00029930947,0.0013540011],"study_design_scores_gemma":[0.000003033776,0.000005773491,0.00008133348,0.000003800435,0.0000032939588,0.00004515171,0.000056714976,0.00080988434,0.00014325065,0.9970379,0.0018042015,0.0000056166145],"about_ca_topic_score_codex":0.0017608744,"about_ca_topic_score_gemma":0.0013456912,"teacher_disagreement_score":0.0061638164,"about_ca_system_score_codex":0.0013709153,"about_ca_system_score_gemma":0.0006269143,"threshold_uncertainty_score":0.020619988},"labels":[],"label_agreement":null},{"id":"W4404257428","doi":"10.4310/pamq.241112235423","title":"The twisted $G_2$ equation for strong $G_2$-structures with torsion","year":2024,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":6,"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 Waterloo","funders":"","keywords":"Mathematics; Torsion (gastropod); Pure mathematics; Mathematical physics; Mathematical analysis","score_opus":0.008572464276828168,"score_gpt":0.230175604143445,"score_spread":0.22160313986661684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404257428","genre_codex":"other","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":[0.3681155,0.0039396826,0.18330336,0.023678698,0.005374488,0.00014946013,0.000918484,0.00048530215,0.4140351],"genre_scores_gemma":[0.86875284,0.0017495836,0.02719007,0.0045186672,0.0036772224,0.00017018146,0.0006913214,0.000451057,0.092799015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934405,0.00020179851,0.000041565632,0.00011816005,0.00014742296,0.0001470513],"domain_scores_gemma":[0.99941957,0.00019828608,0.00007927153,0.00006691553,0.00011195901,0.00012400026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011102569,0.0017066686,0.0014176199,0.00255046,0.002513947,0.0036668552,0.0019750681,0.003741739,0.014893969],"category_scores_gemma":[0.002944394,0.00078951794,0.0015610385,0.0015366619,0.0048515643,0.010269043,0.003721891,0.0043308707,0.0018991812],"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":[0.000008943746,0.000004887615,0.000048513633,0.00001311281,0.000002813094,0.000045468627,0.00006823312,0.00021922088,0.00020359423,0.99729866,0.0011210163,0.0009655645],"study_design_scores_gemma":[0.000009974498,0.000004850717,0.00006483987,0.000004762097,0.0000019507333,0.000042822347,0.000020152846,0.0015459271,0.0000590228,0.9973859,0.00085326994,0.000006494914],"about_ca_topic_score_codex":0.0016902173,"about_ca_topic_score_gemma":0.0015495096,"teacher_disagreement_score":0.014893969,"about_ca_system_score_codex":0.0018732866,"about_ca_system_score_gemma":0.0012874318,"threshold_uncertainty_score":0.04982531},"labels":[],"label_agreement":null},{"id":"W4405989183","doi":"10.4310/pamq.241205003652","title":"Gaiotto conjecture for $\\operatorname{Rep}_q(\\operatorname{GL}(N-1 \\mid N))$","year":2025,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"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; Perimeter Institute","funders":"","keywords":"Mathematics; Conjecture; Combinatorics","score_opus":0.01261090504853781,"score_gpt":0.28437985535454086,"score_spread":0.27176895030600307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405989183","genre_codex":"other","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":[0.1079186,0.0017653191,0.040370077,0.083474234,0.0074898712,0.00009818536,0.0015249779,0.0020224783,0.75533617],"genre_scores_gemma":[0.79691404,0.0011248125,0.012725664,0.019231193,0.0047966354,0.00028280588,0.0018054786,0.0014514755,0.161668],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983309,0.00025258766,0.00006358388,0.00044185785,0.0003691246,0.000541936],"domain_scores_gemma":[0.9980045,0.00076257274,0.0001688749,0.00042042602,0.00028769276,0.00035606071],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015700078,0.0014999127,0.0025406566,0.003037535,0.007815933,0.0071218302,0.0022780404,0.0054642633,0.039091006],"category_scores_gemma":[0.005171817,0.0010356703,0.0026588482,0.0025173104,0.008527764,0.0125691015,0.005279949,0.008353898,0.008313093],"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":[0.000048144146,0.000017105252,0.00015246749,0.000026517704,0.0000051037323,0.00005982015,0.00014487229,0.00007891006,0.00014191367,0.984379,0.013638077,0.001308001],"study_design_scores_gemma":[0.000028640428,0.0000048684524,0.0002665614,0.000020973099,0.000007658683,0.000075179865,0.000082509025,0.00070300075,0.0001617875,0.99072427,0.007908962,0.000015628138],"about_ca_topic_score_codex":0.0058386354,"about_ca_topic_score_gemma":0.0050775046,"teacher_disagreement_score":0.039091006,"about_ca_system_score_codex":0.003024197,"about_ca_system_score_gemma":0.0018395608,"threshold_uncertainty_score":0.13077247},"labels":[],"label_agreement":null},{"id":"W4406463403","doi":"10.4310/pamq.250115044354","title":"The Strominger system in the square of a Kähler class","year":2025,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Spectral Theory in Mathematical Physics","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":"National Science Foundation","keywords":"Mathematics; Class (philosophy); Square (algebra); Pure mathematics; Algebra over a field; Artificial intelligence; Geometry; Computer science","score_opus":0.02354301535282413,"score_gpt":0.2900128101441234,"score_spread":0.2664697947912993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406463403","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":[0.93855023,0.00025173134,0.023869716,0.0008010835,0.00011281735,0.00003426027,0.00011164068,0.00011290411,0.036155682],"genre_scores_gemma":[0.98794925,0.00012475763,0.0033577727,0.00006790159,0.000067135465,0.000023677785,0.00006400719,0.00003807136,0.008307501],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997147,0.000045549274,0.0000115684525,0.000049153143,0.00006739551,0.000111568545],"domain_scores_gemma":[0.9997074,0.000046694255,0.00005570622,0.000021668237,0.000040768915,0.00012777526],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048567334,0.00045794583,0.00059083797,0.0009978152,0.0017353188,0.0022916181,0.00048082674,0.0009189931,0.005190284],"category_scores_gemma":[0.0010529797,0.00027866283,0.00037976776,0.00044601594,0.0019179117,0.0025283247,0.0013697775,0.0006244857,0.000639732],"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":[0.00003274837,0.000013135407,0.00061906094,0.000018990757,0.0000064841615,0.00022010983,0.00021802608,0.001604385,0.003076328,0.9918745,0.0005828243,0.0017333439],"study_design_scores_gemma":[0.00007587667,0.000077708486,0.0014045408,0.000020259642,0.000013717017,0.0004311812,0.0005233072,0.048175253,0.002545021,0.94216156,0.004526012,0.000045585934],"about_ca_topic_score_codex":0.0021046905,"about_ca_topic_score_gemma":0.0014957451,"teacher_disagreement_score":0.005190284,"about_ca_system_score_codex":0.0012462053,"about_ca_system_score_gemma":0.0006617284,"threshold_uncertainty_score":0.01736325},"labels":[],"label_agreement":null},{"id":"W4414509299","doi":"10.4310/pamq.250813203731","title":"Galois cohomology of elliptic curves over anticyclotomic extensions","year":2025,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Algebraic Geometry and Number Theory","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 British Columbia","funders":"","keywords":"Galois cohomology; Fundamental theorem of Galois theory; Galois group; Galois module; Elliptic curve; Cohomology; Embedding problem; Differential Galois theory","score_opus":0.012818036873977675,"score_gpt":0.27212443851992646,"score_spread":0.25930640164594876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414509299","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":[0.9358494,0.00042037998,0.0077079157,0.00088301377,0.00011428644,0.000023020308,0.00012396628,0.00010196595,0.054776177],"genre_scores_gemma":[0.9918513,0.00021826937,0.0009248309,0.00007113008,0.00015656342,0.000010766519,0.00010403514,0.000023286682,0.006639753],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948406,0.000092196795,0.00002051454,0.000092929746,0.00012527719,0.00018505607],"domain_scores_gemma":[0.9990747,0.0002705684,0.00014786937,0.00007848305,0.00010574835,0.00032258668],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063662155,0.0008980729,0.00071048073,0.0033214963,0.0019336885,0.003331461,0.00073447835,0.0007363794,0.009160555],"category_scores_gemma":[0.0014508015,0.00037230214,0.00044864218,0.0017382271,0.0026700064,0.0046594953,0.003249253,0.0018448057,0.0007838999],"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":[0.00020356965,0.00007835737,0.002049667,0.000051955503,0.000017056971,0.00042783064,0.0012924055,0.0010479602,0.0034384797,0.98263067,0.00081687456,0.007945186],"study_design_scores_gemma":[0.0000582738,0.000082929284,0.0037776462,0.00003569681,0.000028180928,0.0004638119,0.00079361233,0.004959205,0.0019012461,0.98395085,0.003919518,0.000029059212],"about_ca_topic_score_codex":0.0009836138,"about_ca_topic_score_gemma":0.0007621406,"teacher_disagreement_score":0.009160555,"about_ca_system_score_codex":0.0011848814,"about_ca_system_score_gemma":0.00040631584,"threshold_uncertainty_score":0.030645072},"labels":[],"label_agreement":null},{"id":"W4416210451","doi":"10.4310/pamq.251017233915","title":"Effective resolution of singularities","year":2025,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Homotopy and Cohomology in Algebraic Topology","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":"","score_opus":0.01016644778704757,"score_gpt":0.2693293428927258,"score_spread":0.25916289510567825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416210451","genre_codex":"other","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":[0.13900433,0.003519313,0.13212216,0.005849707,0.0016291965,0.00007776866,0.0003571316,0.0005472836,0.7168931],"genre_scores_gemma":[0.87306815,0.0015025855,0.020584803,0.0010070062,0.0012735141,0.00006360791,0.000382332,0.00023170617,0.101886384],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990293,0.00020300563,0.000041987576,0.00018836431,0.00035003046,0.00018729868],"domain_scores_gemma":[0.99923134,0.00014694654,0.00006240191,0.00014498753,0.00019846667,0.00021580841],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000993608,0.0009159353,0.0010976791,0.0026754518,0.0020899463,0.0040881126,0.0012497123,0.0013527418,0.014197211],"category_scores_gemma":[0.0025017846,0.00048464688,0.00074666523,0.0009943845,0.0033484576,0.006158821,0.003540486,0.003737204,0.0020144007],"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":[0.000006273766,0.000010961925,0.000043679003,0.000014026815,0.0000044133326,0.000041097523,0.00010887801,0.00012293393,0.00028167726,0.99647945,0.0009508521,0.0019357837],"study_design_scores_gemma":[0.000009452469,0.000005724504,0.00012232947,0.000009205843,0.000006120681,0.00010347135,0.00007570899,0.00096152944,0.0003423946,0.99221647,0.0061421324,0.0000054957904],"about_ca_topic_score_codex":0.0006498385,"about_ca_topic_score_gemma":0.0006841805,"teacher_disagreement_score":0.014197211,"about_ca_system_score_codex":0.0015475648,"about_ca_system_score_gemma":0.0006037747,"threshold_uncertainty_score":0.047494352},"labels":[],"label_agreement":null}]}