{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":12,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":12,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"50a0ce442a76","filters":{"venue":"St Petersburg Mathematical Journal"}},"results":[{"id":"W1974917322","doi":"10.1090/s1061-0022-09-01064-4","title":"Elementary subgroups of isotropic reductive groups","year":2009,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":69,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Unipotent; Reductive group; Combinatorics; Group (periodic table); Rank (graph theory); Commutative property; Torus; Commutative ring; Pure mathematics; Group theory; Geometry; Physics","authors":[{"name":"V. A. Petrov","is_ca":true},{"name":"Anastasia Stavrova","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02314297461849852,"gpt":0.305855496807219,"spread":0.2827125221887204,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002790156,0.0004332631,0.0003454081,0.00080137,0.0005978047,0.001556329,0.0003212282,0.0002607497,0.003208026],"category_scores_gemma":[0.000598343,0.0002025628,0.0003510542,0.0003621824,0.001792667,0.00151248,0.001743973,0.0006419542,0.0006311872],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005814346,"about_ca_system_score_gemma":0.0003790937,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005850816,"about_ca_topic_score_gemma":0.0004330144,"domain_scores_codex":[0.9996355,0.0000586295,0.00002218019,0.00007232524,0.00009803819,0.0001133027],"domain_scores_gemma":[0.9997222,0.00006128826,0.00005490111,0.00004909627,0.00003646218,0.00007602619],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008444003,0.00002447718,0.001255555,0.00003221536,0.000008423827,0.0002502525,0.001295922,0.0004172563,0.007367521,0.9803049,0.0006154226,0.00834377],"study_design_scores_gemma":[0.00007881568,0.0001748452,0.004607826,0.00003307337,0.00003622274,0.0007042312,0.001682922,0.004032587,0.013414,0.9400584,0.03514558,0.00003163507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8989478,0.000732156,0.02528998,0.0005086144,0.00008741397,0.00005159338,0.0002042312,0.0002100607,0.0739681],"genre_scores_gemma":[0.9843552,0.0003309208,0.002926881,0.00007657251,0.0001049513,0.00003689079,0.0002768061,0.00002638564,0.01186535],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003208026,"threshold_uncertainty_score":0.01073188,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1126727304","doi":"10.1090/spmj/1359","title":"Tropical noetherity and Gröbner bases","year":2015,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Gröbner basis; Basis (linear algebra); Ideal (ethics); Algebra over a field; Pure mathematics; Discrete mathematics; Combinatorics; Polynomial; Mathematical analysis; Geometry; Law","authors":[{"name":"Ya. Kazarnovskiĭ","is_ca":false},{"name":"A. G. Khovanskiĭ","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03276060357873099,"gpt":0.2613118432941369,"spread":0.2285512397154059,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006943858,0.0002603125,0.000393428,0.0007762864,0.001099105,0.001292464,0.0003382299,0.0002121439,0.004008287],"category_scores_gemma":[0.001262963,0.0002218041,0.0004039274,0.0005313747,0.002719875,0.002390645,0.001922055,0.001405907,0.0005648914],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006372857,"about_ca_system_score_gemma":0.0003508429,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005411918,"about_ca_topic_score_gemma":0.0006088333,"domain_scores_codex":[0.9993865,0.0001384436,0.00002644325,0.0001186896,0.0001763185,0.0001535692],"domain_scores_gemma":[0.999365,0.0001938663,0.00009238929,0.0001277188,0.0001094689,0.0001114581],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002901682,0.00001229592,0.0001256647,0.00001571565,0.000004477158,0.00003505547,0.0001385104,0.001100754,0.0010374,0.9927221,0.0004702242,0.004308824],"study_design_scores_gemma":[0.000008762026,0.00001987845,0.0002691688,0.00001001308,0.000003863605,0.00005823727,0.00005852725,0.002567033,0.001166832,0.9916005,0.004227206,0.000009965903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6071187,0.001856624,0.1681621,0.002044389,0.0004123212,0.00004584739,0.0003556008,0.0002621068,0.2197423],"genre_scores_gemma":[0.9757697,0.0004576378,0.009360565,0.0001668477,0.0002039064,0.00002933493,0.0001580359,0.00004422967,0.01380972],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004008287,"threshold_uncertainty_score":0.01340908,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2087592816","doi":"10.1090/s1061-0022-08-01007-8","title":"Uniform subalgebras of $L^{\\infty }$ on the unit circle generated by almost periodic functions","year":2008,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Unit circle; Ideal (ethics); Unit (ring theory); Pure mathematics; Maximal ideal; Almost periodic function; Mathematical analysis; Mathematics education","authors":[{"name":"Alexander Brudnyi","is_ca":true},{"name":"Damir Kinzebulatov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05431800072895353,"gpt":0.2717157571380244,"spread":0.2173977564090709,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004312079,0.0003630231,0.0004533638,0.0009691493,0.001050368,0.001372465,0.000548669,0.0002846615,0.004559385],"category_scores_gemma":[0.0009660734,0.0001681731,0.0004822582,0.0004699232,0.00148125,0.001918134,0.0009503805,0.0006382038,0.0006666826],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006730436,"about_ca_system_score_gemma":0.0005192237,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006164393,"about_ca_topic_score_gemma":0.0004714033,"domain_scores_codex":[0.9995433,0.0001014619,0.00002484332,0.00008187105,0.000117472,0.0001310946],"domain_scores_gemma":[0.9993011,0.0001234732,0.0001587352,0.00006825208,0.0001524361,0.0001959731],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000458426,0.00002325056,0.0003052799,0.00003627019,0.000007894161,0.0001134593,0.0001821752,0.000679609,0.003645704,0.9884539,0.0006796884,0.005826883],"study_design_scores_gemma":[0.00003386651,0.0001498932,0.002080965,0.00002650507,0.00001877547,0.0005236768,0.0003835705,0.02774703,0.01058344,0.950932,0.00747755,0.00004271769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7978904,0.0007532099,0.1122692,0.0005894683,0.0001938299,0.0000700484,0.0003016788,0.0003801401,0.08755206],"genre_scores_gemma":[0.9824609,0.0002291206,0.007791604,0.0001000787,0.0001839772,0.00004213961,0.0001636992,0.00003833826,0.008990178],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004559385,"threshold_uncertainty_score":0.01525271,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2941214061","doi":"10.1090/spmj/1690","title":"Twisted quadratic foldings of root systems","year":2021,"lang":"en","type":"preprint","venue":"St Petersburg Mathematical Journal","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Pure mathematics; Cohomology; Automorphism; Type (biology); Algebra over a field","authors":[{"name":"Martina Lanini","is_ca":false},{"name":"Kirill Zainoulline","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04718284941758125,"gpt":0.3286803303366814,"spread":0.2814974809191002,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003622283,0.0004272403,0.0003457217,0.000980905,0.001054588,0.001490518,0.0003871756,0.000456299,0.01349531],"category_scores_gemma":[0.001318329,0.0003053888,0.0006216185,0.0005456835,0.001521448,0.002165089,0.001488801,0.001215564,0.002582488],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008057488,"about_ca_system_score_gemma":0.0002850528,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006360621,"about_ca_topic_score_gemma":0.0006309105,"domain_scores_codex":[0.9994578,0.0001139941,0.00002955,0.0001307887,0.0001421518,0.0001257041],"domain_scores_gemma":[0.9994839,0.00008848452,0.00005606425,0.0001368226,0.000129394,0.0001052046],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005646656,0.00002350682,0.0006239439,0.00004599366,0.000009330458,0.0004278092,0.0005988453,0.001669233,0.006471361,0.9653554,0.001752733,0.0229654],"study_design_scores_gemma":[0.00001860829,0.00006463371,0.0007741177,0.00002241068,0.00000891233,0.0004181992,0.0003580774,0.007477694,0.004929938,0.9736429,0.01225889,0.00002571863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6348962,0.0005832082,0.2083526,0.0007185336,0.0008075521,0.0001010499,0.000346742,0.001467509,0.1527266],"genre_scores_gemma":[0.9473233,0.000245663,0.01670651,0.0002184022,0.0001330456,0.00003631999,0.0002178485,0.0003904707,0.03472847],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01349531,"threshold_uncertainty_score":0.04514635,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962735453","doi":"10.1090/spmj/1552","title":"Asymptotics of the ground state energy in the relativistic settings","year":2019,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Ground state; Dirac (video compression format); Ionization; State (computer science); Energy (signal processing); Physics; Relativistic quantum chemistry; Quantum electrodynamics; Mathematics; Quantum mechanics; Ion","authors":[{"name":"Victor Ivrii","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01840497822346462,"gpt":0.2739455145797953,"spread":0.2555405363563307,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002324207,0.0008895243,0.0007621436,0.002965468,0.001346404,0.001999987,0.001679339,0.001096928,0.004856482],"category_scores_gemma":[0.01030505,0.0004342737,0.001114316,0.0008762547,0.004316288,0.003960355,0.00277888,0.003341003,0.0009476371],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001964001,"about_ca_system_score_gemma":0.0007474419,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00129467,"about_ca_topic_score_gemma":0.0009387781,"domain_scores_codex":[0.9991018,0.0002980008,0.0000426087,0.0001025079,0.0002719836,0.0001830356],"domain_scores_gemma":[0.9973212,0.001211684,0.000318061,0.0003032483,0.0004511676,0.0003946855],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000165344,0.00001487433,0.0002619326,0.00005737249,0.000009510813,0.0001060322,0.0001096685,0.004381014,0.00101038,0.9916161,0.0005247864,0.001891745],"study_design_scores_gemma":[0.000006170756,0.0000227706,0.0006277964,0.00004634145,0.00001107879,0.0001870212,0.00006320759,0.06767176,0.0005508623,0.9297307,0.001060899,0.00002153358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.34305,0.004876169,0.5268899,0.003863527,0.0005214284,0.00007124142,0.0002071557,0.001085865,0.1194347],"genre_scores_gemma":[0.9610211,0.001638261,0.02455463,0.000567299,0.000497541,0.00009186274,0.0001779541,0.0003167299,0.01113459],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004856482,"threshold_uncertainty_score":0.0162465,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3212252292","doi":"10.1090/spmj/1681","title":"Structure of the maximal ideal space of 𝐇^{∞} on the countable disjoint union of open disks","year":2021,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Algorithm; Disjoint sets; Mathematics; Artificial intelligence; Computer science; Combinatorics","authors":[{"name":"Alexander Brudnyi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04408400797244347,"gpt":0.3090909630361686,"spread":0.2650069550637251,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001318311,0.001019255,0.00118456,0.003308087,0.002885432,0.004831787,0.001643686,0.000667345,0.01154525],"category_scores_gemma":[0.002516609,0.0005612848,0.001414238,0.001297082,0.005021517,0.005913888,0.003470154,0.002113332,0.001746011],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00273454,"about_ca_system_score_gemma":0.00120324,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002714386,"about_ca_topic_score_gemma":0.001324985,"domain_scores_codex":[0.9984424,0.0003218456,0.00008178617,0.0003205416,0.0004660806,0.000367447],"domain_scores_gemma":[0.9973333,0.0007528965,0.0003824861,0.0001362261,0.0006341331,0.000760935],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003707485,0.00001307551,0.0002034969,0.00004817999,0.00001166876,0.00007759702,0.0003215725,0.0004063861,0.0006245273,0.9962232,0.0005644606,0.00146872],"study_design_scores_gemma":[0.00003122377,0.00007089895,0.0009866023,0.00003840857,0.00002026786,0.0002616205,0.0006393881,0.007777176,0.001859312,0.9812295,0.007048075,0.00003739246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5195307,0.003606049,0.238122,0.003055838,0.0005783787,0.0001449553,0.001430771,0.0007535363,0.2327778],"genre_scores_gemma":[0.9490567,0.0009968176,0.01947095,0.0002560127,0.00056849,0.0001295961,0.00104014,0.0002119867,0.02826922],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01154525,"threshold_uncertainty_score":0.03862268,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4283591219","doi":"10.1090/spmj/1718","title":"Projective free algebras of bounded holomorphic functions on infinitely connected domains","year":2022,"lang":"lv","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Algorithm; Type (biology); Holomorphic function; Mathematics; Artificial intelligence; Computer science; Pure mathematics; Geology","authors":[{"name":"Alexander Brudnyi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03853204358241073,"gpt":0.2788090554759674,"spread":0.2402770118935567,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008974698,0.0007219197,0.0004842934,0.002135662,0.001230762,0.003204525,0.0008014395,0.0005416723,0.02032636],"category_scores_gemma":[0.002557793,0.0004253095,0.0007801526,0.001373239,0.002156008,0.005893828,0.002253797,0.001855712,0.00349297],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001716015,"about_ca_system_score_gemma":0.0006233559,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002019846,"about_ca_topic_score_gemma":0.001635528,"domain_scores_codex":[0.9988949,0.0002623973,0.0000641731,0.0002233224,0.0003960755,0.0001592633],"domain_scores_gemma":[0.9985851,0.0004987438,0.0001269154,0.0001524982,0.0003970871,0.0002396902],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001720475,0.000009125417,0.0001174981,0.00003100274,0.000005691365,0.00007432121,0.0001603368,0.0006563937,0.0006392743,0.9920481,0.002031322,0.004209799],"study_design_scores_gemma":[0.00002484479,0.00002727686,0.0007399259,0.00002704346,0.00001419526,0.000187923,0.0002478058,0.00841713,0.00239993,0.970818,0.01706212,0.00003378031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2533083,0.001519385,0.3958723,0.002257424,0.000671949,0.00008895368,0.00147569,0.00134813,0.3434579],"genre_scores_gemma":[0.8834958,0.0008289402,0.03099714,0.0005024225,0.0005766134,0.00008295685,0.001392232,0.0004770172,0.08164686],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02032636,"threshold_uncertainty_score":0.06799841,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963991505","doi":"10.1090/s1061-0022-10-01101-5","title":"Extension of matrices with entries in $H^{\\infty }$ on coverings of Riemann surfaces of finite type","year":2010,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Riemann surface; Extension (predicate logic); Holomorphic function; Type (biology); Pure mathematics; Bounded function; Geometric function theory; Uniformization theorem; Algebra over a field; Riemann–Hurwitz formula; Mathematical analysis","authors":[{"name":"Alexander Brudnyi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02271695926737486,"gpt":0.2827913212837452,"spread":0.2600743620163703,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007196578,0.0008052211,0.000505104,0.001526997,0.0009723257,0.002148136,0.0006751807,0.0007280883,0.00375096],"category_scores_gemma":[0.001873856,0.0003082417,0.0007314546,0.0006856605,0.001872392,0.002518101,0.001618786,0.001079059,0.0005247756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007011069,"about_ca_system_score_gemma":0.0005654629,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006532158,"about_ca_topic_score_gemma":0.0004501608,"domain_scores_codex":[0.9993936,0.0001085736,0.00002901276,0.0001161695,0.0001905949,0.000162015],"domain_scores_gemma":[0.9984993,0.0003780396,0.0002470062,0.0001116669,0.0002005408,0.0005634941],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001901149,0.00009773929,0.001131502,0.00007490724,0.00002309259,0.0008892702,0.0009522924,0.003116259,0.01326708,0.9691019,0.0008003764,0.0103554],"study_design_scores_gemma":[0.00006615751,0.0003584048,0.002460641,0.00003986999,0.00002125439,0.001184623,0.00042069,0.03192798,0.008139763,0.9506426,0.004671989,0.00006603509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9260554,0.0003608498,0.0505092,0.0003349617,0.0001963752,0.00003242969,0.0001408072,0.0001498381,0.02222011],"genre_scores_gemma":[0.9846333,0.0002415205,0.005749548,0.00007970138,0.0002493338,0.00002692993,0.0001226361,0.00004362055,0.008853484],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00375096,"threshold_uncertainty_score":0.01254815,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4313318081","doi":"10.1090/spmj/1744","title":"Two stars theorems for traces of the Zygmund space","year":2022,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Algorithm; Annotation; Type (biology); Computer science; Mathematics; Artificial intelligence","authors":[{"name":"Alexander Brudnyi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03172819877431633,"gpt":0.3236224219701122,"spread":0.2918942231957959,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002408664,0.0008417648,0.0008346491,0.002667931,0.001489578,0.003528609,0.001244793,0.001245439,0.01186894],"category_scores_gemma":[0.0063915,0.0004209603,0.002356596,0.001524279,0.00317223,0.006513035,0.003479978,0.003408265,0.002069366],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002947574,"about_ca_system_score_gemma":0.001924317,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002563325,"about_ca_topic_score_gemma":0.001750344,"domain_scores_codex":[0.9984326,0.0003311619,0.0001136116,0.0003530796,0.0005531186,0.0002164466],"domain_scores_gemma":[0.9969399,0.001227001,0.0002304781,0.0002644002,0.0008483739,0.0004898926],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001933415,0.000006941958,0.0001116188,0.00002205302,0.000005196411,0.0000286959,0.0001286056,0.0002689492,0.0002394749,0.9943542,0.0007168914,0.004097976],"study_design_scores_gemma":[0.00002122657,0.00005135619,0.0002688402,0.0000241925,0.00001124401,0.00009845227,0.0001529415,0.007895103,0.001220117,0.9813778,0.008858765,0.00001986049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.120765,0.001918776,0.7204623,0.003559207,0.0008185548,0.0001228223,0.0009085291,0.0009145513,0.1505302],"genre_scores_gemma":[0.7748969,0.001966168,0.1128577,0.001248866,0.0006799736,0.0002552371,0.001252179,0.0007157993,0.1061271],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01186894,"threshold_uncertainty_score":0.03970563,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1497507902","doi":"10.1090/s1061-0022-2011-01185-9","title":"Traces of $C^{k}$ functions on weak Markov subsets of $\\mathbb R^{n}$","year":2011,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Omega; Extension (predicate logic); Class (philosophy); Constructive; Combinatorics; Markov chain; Constant (computer programming); Discrete mathematics; Pure mathematics; Statistics","authors":[{"name":"Alexander Brudnyi","is_ca":true},{"name":"Yu. A. Brudnyi","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06811094818019768,"gpt":0.2950021441687982,"spread":0.2268911959886005,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001195164,0.0009585156,0.0005790113,0.002171542,0.001710275,0.003525073,0.001237744,0.0008708843,0.004206063],"category_scores_gemma":[0.005942159,0.0004784029,0.0008915526,0.0009071049,0.003730636,0.004431164,0.002459257,0.002035743,0.0004377496],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002177899,"about_ca_system_score_gemma":0.0009974355,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001093883,"about_ca_topic_score_gemma":0.001206691,"domain_scores_codex":[0.9991863,0.0001859455,0.00004481235,0.0001529739,0.0002149285,0.0002151262],"domain_scores_gemma":[0.996646,0.001564391,0.0004017048,0.0002834121,0.0004600684,0.0006445076],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003476164,0.00001153788,0.0003998496,0.00001637011,0.000005170094,0.00007564547,0.0002483998,0.001083192,0.001199733,0.995008,0.0001661726,0.001751229],"study_design_scores_gemma":[0.00001802737,0.00005764237,0.0008002428,0.00005635737,0.00001439336,0.0003230111,0.0003680846,0.03592548,0.004820501,0.954688,0.002892042,0.00003624875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6509432,0.0005322039,0.3053571,0.0006841967,0.0001291955,0.00006713975,0.0002714514,0.0002738597,0.04174163],"genre_scores_gemma":[0.9706731,0.0002990043,0.01952793,0.0001043753,0.00007393975,0.00009718696,0.0001568739,0.0001086787,0.008959007],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004206063,"threshold_uncertainty_score":0.01580179,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4401157146","doi":"10.1090/spmj/1811","title":"On the vanishing of Green’s function, desingularization and Carleman’s method","year":2024,"lang":"lv","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Mathematical analysis; Function (biology); Pure mathematics","authors":[{"name":"Ryan Gibara","is_ca":true},{"name":"Damir Kinzebulatov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03742557877518315,"gpt":0.3073252887769954,"spread":0.2698997100018123,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002128921,0.0008928466,0.0009182614,0.003683902,0.001525003,0.002253005,0.001188943,0.001032809,0.006125011],"category_scores_gemma":[0.00625044,0.0004330107,0.001166697,0.001444144,0.005662182,0.003788033,0.002430946,0.002816743,0.001496764],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002521308,"about_ca_system_score_gemma":0.001517665,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005326435,"about_ca_topic_score_gemma":0.002998152,"domain_scores_codex":[0.9989727,0.0004298919,0.00004272619,0.0001478333,0.0002546315,0.0001522831],"domain_scores_gemma":[0.9981948,0.0008553222,0.0001528655,0.0002354787,0.0003787063,0.0001827861],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009602776,0.000005945589,0.00008367591,0.00003579073,0.000004523071,0.00004700687,0.0001776171,0.0007749946,0.0004852836,0.9929629,0.001456927,0.00395574],"study_design_scores_gemma":[0.000005101984,0.00001101401,0.0001326401,0.00002297458,0.000005269514,0.00007943412,0.00007151433,0.01416917,0.0006909205,0.9806337,0.004161465,0.00001681554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1392523,0.005064506,0.5935563,0.005969162,0.001102171,0.00008696525,0.000269164,0.001113566,0.2535858],"genre_scores_gemma":[0.8483772,0.00338538,0.0739368,0.0009101163,0.0009259697,0.00009892196,0.0002313437,0.001132684,0.07100157],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006125011,"threshold_uncertainty_score":0.02049017,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4379797967","doi":"10.1090/spmj/1761","title":"On the maximal ideal spaces of 𝐇^{∞} on coverings of bordered Riemann surfaces","year":2023,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Riemann surface; Holomorphic function; Bounded function; Ideal (ethics); Maximal ideal; Pure mathematics; Bounded operator; Space (punctuation); Geometric function theory; Surface (topology); Riemann–Hurwitz formula; Mathematical analysis; Geometry","authors":[{"name":"Alexander Brudnyi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04562253651789571,"gpt":0.3027124940077638,"spread":0.2570899574898681,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001180695,0.0008902785,0.0008383896,0.002431994,0.001708651,0.003258733,0.0008719492,0.0005654023,0.003919352],"category_scores_gemma":[0.001730107,0.0003508228,0.0009070449,0.0009391682,0.004293193,0.003997093,0.002369867,0.001441348,0.0004750456],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001414546,"about_ca_system_score_gemma":0.0006734395,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009261359,"about_ca_topic_score_gemma":0.0004535044,"domain_scores_codex":[0.9990582,0.0002156159,0.00004475625,0.0001351086,0.0002765188,0.0002698259],"domain_scores_gemma":[0.99858,0.0003664851,0.0002530049,0.00007917245,0.0001840616,0.0005373165],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008069287,0.0000362841,0.000598513,0.00006393445,0.00001740472,0.0002574325,0.0005750181,0.002065573,0.003331659,0.9884663,0.000321818,0.004185355],"study_design_scores_gemma":[0.00002334196,0.0001436363,0.001814194,0.00003870006,0.00001277845,0.0003673895,0.0004365105,0.01448757,0.002158567,0.9773957,0.003087824,0.0000337052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8828011,0.001504087,0.06689837,0.0005979445,0.0001754892,0.00004893615,0.0002451046,0.0001476314,0.04758131],"genre_scores_gemma":[0.9862376,0.0005415302,0.006982808,0.00005380772,0.0002081636,0.00003232883,0.0002280509,0.00004069161,0.00567498],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003919352,"threshold_uncertainty_score":0.01311159,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}