{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":14,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":14,"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":"b1df33e6d0c2","filters":{"venue":"Mathematical Notes"}},"results":[{"id":"W1974332196","doi":"10.1007/s11006-005-0077-0","title":"On the Properties of Accretive-Dissipative Matrices","year":2005,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":36,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Dissipative system; Pure mathematics; Physics; Thermodynamics","authors":[{"name":"Alan D. George","is_ca":true},{"name":"Х. Д. Икрамов","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03030834273904027,"gpt":0.2526649750472484,"spread":0.2223566323082082,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001589054,0.0009021754,0.0007232502,0.001633792,0.00121062,0.002611018,0.001045963,0.001040343,0.006231879],"category_scores_gemma":[0.01152285,0.0003997968,0.0005047635,0.001225119,0.003951154,0.005129882,0.002087415,0.002185776,0.00076223],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008044596,"about_ca_system_score_gemma":0.0005963862,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007437206,"about_ca_topic_score_gemma":0.0006268934,"domain_scores_codex":[0.9994451,0.0001774261,0.00003319395,0.0001035105,0.0001633348,0.00007729066],"domain_scores_gemma":[0.992928,0.004494844,0.0007341937,0.0004297197,0.0008456547,0.0005676185],"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":[0.00004292755,0.00001808056,0.0002635124,0.00003897513,0.000007850665,0.00006575839,0.0002412524,0.00447762,0.001385269,0.9877891,0.0006898217,0.004979885],"study_design_scores_gemma":[0.000008314585,0.0000302067,0.0002005438,0.00001470555,0.000005001182,0.00009080986,0.00006930622,0.02458415,0.0004730508,0.9729813,0.001529801,0.00001287366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3502464,0.003350069,0.5527653,0.002719616,0.0004519239,0.00006747162,0.0003223188,0.0002182173,0.08985882],"genre_scores_gemma":[0.950403,0.002280463,0.02340166,0.0004478737,0.0006318833,0.00008633864,0.0002510778,0.0001026289,0.02239502],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006231879,"threshold_uncertainty_score":0.02084768,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1991052404","doi":"10.1134/s0001434610090312","title":"Character sums over shifted primes","year":2010,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Multiplicative function; Modulo; Character (mathematics); Integer (computer science); Combinatorics; Upper and lower bounds; Range (aeronautics); Discrete mathematics; Mathematical analysis","authors":[{"name":"John Friedlander","is_ca":true},{"name":"Ke Гонг","is_ca":false},{"name":"Igor E. Shparlinski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05063521960221752,"gpt":0.3620850349835646,"spread":0.3114498153813471,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007806307,0.001141989,0.000717766,0.002553697,0.001241133,0.002476892,0.001009676,0.0007151909,0.007070578],"category_scores_gemma":[0.005137083,0.0004165997,0.0006547774,0.001208012,0.002172741,0.006840467,0.003983601,0.002900967,0.001560633],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009489187,"about_ca_system_score_gemma":0.0003247224,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002514099,"about_ca_topic_score_gemma":0.0003384966,"domain_scores_codex":[0.9988532,0.0001731472,0.00008519981,0.0002813459,0.0003827669,0.0002241655],"domain_scores_gemma":[0.9976522,0.0008863892,0.0003419832,0.0003523613,0.0004093776,0.0003576965],"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":[0.0002811525,0.00005440351,0.001755656,0.0002790883,0.00004496038,0.0004056873,0.0006005704,0.006193162,0.02378701,0.9282336,0.002588644,0.03577599],"study_design_scores_gemma":[0.00001738889,0.00009438309,0.00171517,0.0001003361,0.00007233091,0.0006674773,0.0001518262,0.02981166,0.02067431,0.9354864,0.01113989,0.00006887996],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5992086,0.003863641,0.2817049,0.001990623,0.001216306,0.00005308293,0.0002634331,0.0006120261,0.1110874],"genre_scores_gemma":[0.9614431,0.001091162,0.02338972,0.0004025187,0.0008389498,0.00007144966,0.0001708112,0.0002586594,0.01233367],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007070578,"threshold_uncertainty_score":0.02365339,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3020108609","doi":"10.1134/s0001434620030128","title":"Some Congruences for Overpartitions with Restriction","year":2020,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Congruence relation; Modulo; Ramanujan's sum; Mathematics; Combinatorics","authors":[{"name":"H. M. Srivastava","is_ca":true},{"name":"Nipen Saikia","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1178041842532907,"gpt":0.3459879651105259,"spread":0.2281837808572352,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003351849,0.0007481799,0.0009998149,0.001739421,0.003153747,0.003552004,0.0008116834,0.0007090819,0.005753434],"category_scores_gemma":[0.009258806,0.0005154457,0.001484681,0.001535594,0.004770314,0.004919704,0.004093638,0.003432164,0.0009998912],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001845239,"about_ca_system_score_gemma":0.0008457493,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009803809,"about_ca_topic_score_gemma":0.0004277226,"domain_scores_codex":[0.9960172,0.0009254268,0.0002719213,0.0007116614,0.001287682,0.000786111],"domain_scores_gemma":[0.9954204,0.002325733,0.0005043306,0.0005408892,0.0006092532,0.000599429],"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":[0.0000224149,0.00002324676,0.0002991168,0.00001337396,0.000003693459,0.00007873005,0.0003161838,0.0002974292,0.001282966,0.9947621,0.000525931,0.002374839],"study_design_scores_gemma":[0.00002802613,0.00002837181,0.0005368163,0.0000130655,0.000007882053,0.0001489003,0.0001442979,0.004173717,0.00168528,0.9885639,0.004653826,0.0000158678],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6198212,0.001261337,0.1315637,0.003054754,0.0006600217,0.0002186002,0.0004329821,0.0002964975,0.2426908],"genre_scores_gemma":[0.9639382,0.0005553014,0.01857755,0.0005095713,0.001013429,0.0001859299,0.0003447995,0.00009463247,0.01478057],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005753434,"threshold_uncertainty_score":0.01924711,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2056364658","doi":"10.1134/s0001434611030023","title":"Extenders and ϰ-metrizable compacta","year":2011,"lang":"es","type":"article","venue":"Mathematical Notes","topic":"Advanced Topology and Set 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":"Nipissing University","funders":"","keywords":"Metrization theorem; Mathematics; Pure mathematics; Characterization (materials science); Extension (predicate logic); Mathematical analysis; Physics; Computer science","authors":[{"name":"Vesko Valov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1015967554030983,"gpt":0.3227599278899226,"spread":0.2211631724868243,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007631471,0.0005520891,0.0004058555,0.001619913,0.0007262272,0.002053679,0.0005129845,0.0005107986,0.003683458],"category_scores_gemma":[0.002533309,0.0002579848,0.0006362546,0.0007627906,0.002889217,0.004577683,0.00241306,0.001940904,0.0003228668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007911447,"about_ca_system_score_gemma":0.0002403492,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002989487,"about_ca_topic_score_gemma":0.000272213,"domain_scores_codex":[0.999488,0.00008101173,0.00003684161,0.0001302199,0.0001785668,0.00008536151],"domain_scores_gemma":[0.9981707,0.0006040882,0.0003515185,0.0002316776,0.0002353266,0.0004065762],"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":[0.00005401728,0.00001986171,0.00075366,0.00003228699,0.00001016619,0.0002306304,0.0005827867,0.001019948,0.005513695,0.984794,0.0002773777,0.006711517],"study_design_scores_gemma":[0.00002751712,0.0001305699,0.003253005,0.00003837083,0.00001805109,0.0009072822,0.000710935,0.01136178,0.004147954,0.9688247,0.01055246,0.00002716419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8151969,0.001891672,0.1260608,0.001021699,0.0001152597,0.00004882519,0.0003061515,0.000206181,0.05515247],"genre_scores_gemma":[0.976858,0.0004803578,0.01060128,0.00008101633,0.0001263386,0.00003752706,0.0001750724,0.00003008818,0.0116104],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003683458,"threshold_uncertainty_score":0.01232237,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2030390828","doi":"10.1134/s0001434609110029","title":"Pontryagin’s theorem and spectral stability analysis of solitons","year":2009,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Advanced Mathematical Physics Problems","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":"McMaster University","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Pontryagin's minimum principle; Hamiltonian (control theory); Hamiltonian system; Comparison theorem; Stability theorem; Pure mathematics; Stability (learning theory); Mathematical analysis; Applied mathematics; Quantum mechanics; Optimal control; Mathematical optimization; Physics","authors":[{"name":"T. Ya. Azizov","is_ca":false},{"name":"Marina Chugunova","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04627442097407739,"gpt":0.3314280252972616,"spread":0.2851536043231842,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001099111,0.0004167171,0.0006035704,0.001328791,0.0007858948,0.0009867342,0.0009803735,0.0007648573,0.002313545],"category_scores_gemma":[0.003890784,0.0001967688,0.0005046973,0.0004559952,0.002819892,0.001666079,0.001190341,0.001016334,0.0002641426],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000694457,"about_ca_system_score_gemma":0.0003679786,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003308945,"about_ca_topic_score_gemma":0.00009673987,"domain_scores_codex":[0.9994636,0.0001596048,0.00002520517,0.0000926066,0.0002023154,0.00005660453],"domain_scores_gemma":[0.9987189,0.0007736788,0.0001609039,0.00009322869,0.0001757318,0.00007765651],"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":[0.00005987171,0.00003217196,0.0004735427,0.00009897137,0.00002462582,0.0002056431,0.0002536132,0.01544333,0.009044058,0.9621147,0.0006131965,0.01163613],"study_design_scores_gemma":[0.00001629484,0.00004211669,0.0004619629,0.000009547422,0.000004781678,0.0002174883,0.00004092536,0.07917684,0.002452385,0.9163391,0.001224625,0.00001382151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3019928,0.001392497,0.6474235,0.001250012,0.0001639246,0.00005250229,0.00009473188,0.0002306102,0.04739947],"genre_scores_gemma":[0.9715873,0.0003293649,0.02368846,0.0001311559,0.0001257582,0.00007435164,0.00004625554,0.00004132479,0.003975956],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002313545,"threshold_uncertainty_score":0.007739604,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2093434510","doi":"10.1007/s11006-005-0013-3","title":"Hilbert and Hilbert—Samuel polynomials and partial differential equations","year":2005,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Hilbert space; Partial differential equation; Rigged Hilbert space; Hilbert's fourteenth problem; Mathematical analysis; Algebraic number; Pure mathematics; Algebra over a field; Reproducing kernel Hilbert space","authors":[{"name":"Askold Khovanskiĭ","is_ca":true},{"name":"Сергей Павлович Чулков","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04959733516702181,"gpt":0.2970307289586707,"spread":0.2474333937916489,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001652331,0.0005370749,0.000580897,0.001082302,0.001106094,0.00220855,0.0006335235,0.0009199288,0.005037365],"category_scores_gemma":[0.003807104,0.0003127026,0.0004835381,0.001246306,0.003829143,0.005191845,0.001393949,0.002414176,0.0003784833],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001622185,"about_ca_system_score_gemma":0.000977749,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001693687,"about_ca_topic_score_gemma":0.001344155,"domain_scores_codex":[0.9994602,0.0002252245,0.00001986472,0.00006773476,0.0001526725,0.00007437761],"domain_scores_gemma":[0.9986748,0.0007649859,0.0001752352,0.000105865,0.0001512013,0.0001279699],"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":[0.000005857888,0.000004399926,0.00008119446,0.000009685992,0.000002614339,0.00001288859,0.00009369664,0.0001874684,0.00005968838,0.997467,0.0005171613,0.001558445],"study_design_scores_gemma":[0.000005713689,0.000004200826,0.0001566402,0.000004071323,0.000002007255,0.00002999051,0.00004334276,0.0008477247,0.0000411395,0.9963717,0.002489772,0.000003783522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4624512,0.05073711,0.1413979,0.04379269,0.002509488,0.00004640703,0.0005723881,0.0002158802,0.2982769],"genre_scores_gemma":[0.9577045,0.007054309,0.007035736,0.0007478242,0.001893343,0.00002511488,0.0001335273,0.00002047113,0.02538506],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005037365,"threshold_uncertainty_score":0.01685166,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2087359492","doi":"10.1134/s0001434610090166","title":"Reducing character sums to Kloosterman sums","year":2010,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Algorithms and Data Compression","field":"Computer Science","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Kloosterman sum; Mathematics; Character (mathematics); Pure mathematics; Geometry","authors":[{"name":"John Friedlander","is_ca":true},{"name":"Henryk Iwaniec","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01726599779991491,"gpt":0.2701696812581035,"spread":0.2529036834581886,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001623313,0.0009654298,0.001027857,0.002896983,0.00154666,0.003618914,0.001648307,0.001217064,0.006960667],"category_scores_gemma":[0.01311899,0.0004914372,0.001179443,0.002155822,0.002470342,0.007544959,0.004384053,0.004095189,0.002060913],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001181579,"about_ca_system_score_gemma":0.0004437492,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002993291,"about_ca_topic_score_gemma":0.0004933724,"domain_scores_codex":[0.997961,0.0003904273,0.000139522,0.000339546,0.0008540299,0.0003153673],"domain_scores_gemma":[0.995627,0.002343453,0.0003226261,0.0006414695,0.0006971059,0.0003683835],"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":[0.0000672256,0.00003630321,0.0004116936,0.0001463237,0.00002644777,0.0001624626,0.0003326806,0.005177353,0.00384642,0.961584,0.002149545,0.02605951],"study_design_scores_gemma":[0.000003353295,0.00002101195,0.0002061841,0.00002705749,0.00001316491,0.0001841229,0.00004471712,0.0154921,0.002756123,0.9774733,0.003757757,0.00002113144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.222199,0.005648201,0.6805769,0.001827789,0.001482355,0.00007201634,0.0002829838,0.00060908,0.08730167],"genre_scores_gemma":[0.8625793,0.002937326,0.09204373,0.001004629,0.001956029,0.0002004247,0.0004028193,0.0007673552,0.03810852],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006960667,"threshold_uncertainty_score":0.02328575,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4400644910","doi":"10.1134/s0001434624050328","title":"On $$\\mathfrak{L}_{\\infty}$$-Liftings of the Gelfand–Naimark Morphism","year":2024,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Advanced Algebra and Geometry","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":"Strathcona Community Hospital","funders":"","keywords":"Morphism; Mathematics; Combinatorics; Pure mathematics; Physics; Algebra over a field","authors":[{"name":"V.A. Melnikov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03012123474911964,"gpt":0.3163280293125917,"spread":0.2862067945634721,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001153284,0.0009747903,0.0006435001,0.002320633,0.002566673,0.002599411,0.0009203084,0.001098636,0.009282127],"category_scores_gemma":[0.002053538,0.0005683965,0.001416985,0.0007245672,0.003951725,0.005311979,0.004111249,0.003362083,0.002281398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001782992,"about_ca_system_score_gemma":0.0008937995,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002048564,"about_ca_topic_score_gemma":0.001285642,"domain_scores_codex":[0.9988996,0.0001562292,0.0000387715,0.0002451283,0.0003006699,0.0003595107],"domain_scores_gemma":[0.9990425,0.0001695625,0.000162389,0.0001086682,0.0001661185,0.000350696],"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":[0.00002426704,0.00002099931,0.0002044796,0.0000227621,0.000005966696,0.000162756,0.0003496838,0.0002105497,0.001157475,0.9939917,0.0005286644,0.003320704],"study_design_scores_gemma":[0.00002265958,0.00004060928,0.00106448,0.00004094715,0.000009832697,0.0003235514,0.0003141391,0.00261112,0.001647465,0.9854446,0.008445319,0.00003526867],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5815178,0.001214688,0.191765,0.002808102,0.0008916489,0.0001374076,0.0005145594,0.0005070382,0.2206438],"genre_scores_gemma":[0.8948627,0.00107452,0.04159667,0.0007707365,0.0005808807,0.0001809266,0.0005119515,0.0004152413,0.06000645],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009282127,"threshold_uncertainty_score":0.03105187,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2133978389","doi":"10.1134/s0001434615030360","title":"On an inequality of Marcus","year":2015,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"University of Victoria","keywords":"Mathematics; Inequality; Mathematical economics; Pure mathematics; Mathematical analysis","authors":[{"name":"Michelle Lin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.2884761392208882,"gpt":0.4234640097297172,"spread":0.134987870508829,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001416121,0.0007247353,0.0006779178,0.002277239,0.001403691,0.001703639,0.0008810594,0.0009887886,0.008176108],"category_scores_gemma":[0.007356404,0.0003078546,0.001006532,0.001503244,0.003437045,0.003361978,0.003624131,0.003208437,0.002020665],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00157423,"about_ca_system_score_gemma":0.000784423,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002669976,"about_ca_topic_score_gemma":0.001451329,"domain_scores_codex":[0.9988417,0.0002899724,0.00004959037,0.0002208775,0.0003951252,0.0002029213],"domain_scores_gemma":[0.9978536,0.00108624,0.0001296061,0.0001592067,0.0005684223,0.0002028536],"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":[0.00001222913,0.000006811822,0.0001304751,0.00005345093,0.000005390085,0.0000758958,0.0001151139,0.0003845139,0.0009064937,0.986515,0.004950026,0.006844633],"study_design_scores_gemma":[0.000006832486,0.00002553792,0.0006055534,0.00006283265,0.00001123515,0.0003069729,0.00005474025,0.005169875,0.001088076,0.9511012,0.04153715,0.00003007484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.05613532,0.01719901,0.3577724,0.01744573,0.005235817,0.00006889953,0.000641529,0.0002552128,0.5452461],"genre_scores_gemma":[0.806331,0.01041268,0.08008658,0.00584176,0.005288042,0.0001571675,0.0004206089,0.000433668,0.09102833],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008176108,"threshold_uncertainty_score":0.02735186,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2163675028","doi":"10.1134/s0001434613090253","title":"Characterization of Carleson measures by the Hausdorff-Young property","year":2013,"lang":"en","type":"preprint","venue":"Mathematical Notes","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Universidad Michoacana de San Nicolás de Hidalgo; Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland; Consejo Nacional de Ciencia y Tecnología","keywords":"Hausdorff measure; Mathematics; Hausdorff space; Laplace transform; Characterization (materials science); Property (philosophy); Pure mathematics; Weight function; Measure (data warehouse); Hausdorff dimension; Mathematical analysis; Physics; Computer science","authors":[{"name":"Sergey Sadov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1001478292375857,"gpt":0.3476528000400763,"spread":0.2475049708024906,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00151934,0.0007537744,0.0005195145,0.002994829,0.0008646462,0.002622527,0.0007889682,0.0008964032,0.004208306],"category_scores_gemma":[0.005174202,0.0003386308,0.0006410302,0.0009072574,0.002665706,0.004112442,0.00216233,0.001448855,0.0004824628],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001480772,"about_ca_system_score_gemma":0.0007111033,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008271387,"about_ca_topic_score_gemma":0.0005374493,"domain_scores_codex":[0.9993975,0.0001228933,0.00002991523,0.0001173142,0.0002098569,0.0001226174],"domain_scores_gemma":[0.9976744,0.0009977442,0.000392831,0.000131638,0.0003285182,0.0004748758],"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":[0.00001678367,0.000009954563,0.0005294607,0.00001728852,0.000007538431,0.00008978884,0.0001103903,0.0009781162,0.002213466,0.9930524,0.0003791331,0.00259571],"study_design_scores_gemma":[0.00001833208,0.00004894815,0.001951018,0.00003124104,0.00001509353,0.0004561441,0.0001807051,0.05651087,0.00367603,0.9322274,0.004840528,0.00004373834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5227211,0.002635032,0.389082,0.001805585,0.0002884167,0.00006989005,0.0002433447,0.0001990142,0.08295564],"genre_scores_gemma":[0.9642477,0.001043952,0.01990668,0.0002352123,0.0003649211,0.00009288584,0.0001732224,0.00008732144,0.013848],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004208306,"threshold_uncertainty_score":0.01407814,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1990699128","doi":"10.1023/b:matn.0000036736.86809.69","title":"Banach--Mazur Compacta are Aleksandrov Compactifications of Q-manifolds","year":2004,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Foundation for Basic Research","keywords":"Mathematics; Compactification (mathematics); Pure mathematics; Manifold (fluid mechanics); Mathematical analysis","authors":[{"name":"S. M. Ageev","is_ca":false},{"name":"Семеон Антонович Богатый","is_ca":false},{"name":"Dušan Repovš","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08066001060337566,"gpt":0.3300128310363261,"spread":0.2493528204329505,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008266353,0.001344791,0.0008663975,0.002727713,0.002277321,0.003819145,0.001158516,0.001188378,0.004756956],"category_scores_gemma":[0.001892237,0.0007729642,0.00102405,0.001028966,0.003440789,0.005323035,0.003020299,0.002280367,0.0007231868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001716982,"about_ca_system_score_gemma":0.0005058715,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001001402,"about_ca_topic_score_gemma":0.000975952,"domain_scores_codex":[0.9995204,0.0001167242,0.00003600326,0.0001117398,0.0001135226,0.0001016439],"domain_scores_gemma":[0.9989691,0.0002084434,0.0003022888,0.00008749266,0.0001360613,0.0002966748],"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":[0.00006794374,0.00002012662,0.0003245331,0.00002231452,0.00001374944,0.00012321,0.0004174886,0.0004749915,0.001080565,0.9952003,0.0002701633,0.001984434],"study_design_scores_gemma":[0.00005547704,0.00007408484,0.0009545876,0.00001864747,0.00002002926,0.0002310472,0.0004479006,0.004042782,0.0007787526,0.9892061,0.004153644,0.00001706483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8562688,0.001705413,0.06870235,0.001819717,0.0003922361,0.00008823229,0.0002845654,0.0003023433,0.07043642],"genre_scores_gemma":[0.974018,0.0004864129,0.01098073,0.0001990285,0.0002310365,0.00007905488,0.0002156167,0.00006589227,0.01372419],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004756956,"threshold_uncertainty_score":0.01591361,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W7117132980","doi":"10.1134/s0001434625605210","title":"Accelerated Algorithm for Splitting a Vector into Two Vectors with Small Uniform Norm","year":2025,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Stochastic Gradient Optimization Techniques","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Artificial Intelligence in Medicine (Canada)","funders":"","keywords":"Norm (philosophy); Uniform norm; Efficient algorithm; Approximation algorithm; Matrix norm; Vector field","authors":[{"name":"B. S. Kashin","is_ca":false},{"name":"I. V. Oseledets","is_ca":true},{"name":"A. A. Rudikov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0286306221759479,"gpt":0.2858795298081199,"spread":0.257248907632172,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001111109,0.0008479612,0.0009632577,0.0006870473,0.000446158,0.0007708421,0.001168562,0.0008973415,0.004185149],"category_scores_gemma":[0.002182687,0.0005139009,0.0005792378,0.0006759205,0.0007461609,0.0009406113,0.001528155,0.001399313,0.00115409],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004919502,"about_ca_system_score_gemma":0.001132505,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00149844,"about_ca_topic_score_gemma":0.001453942,"domain_scores_codex":[0.9991541,0.0001901051,0.00005122917,0.000140298,0.0003914036,0.00007290389],"domain_scores_gemma":[0.9991719,0.0002021131,0.00006658,0.0001342639,0.0003516534,0.00007361826],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0007755523,0.0001728954,0.0008715529,0.0001926137,0.0001365932,0.0001673843,0.0001794006,0.3815566,0.0612804,0.06070568,0.00654869,0.4874126],"study_design_scores_gemma":[0.00006390496,0.00008006402,0.0001142707,0.000005827667,0.00001114731,0.0000482907,0.00001070447,0.9821783,0.006532424,0.008738631,0.0022034,0.00001297177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.005834742,0.00004953648,0.9933717,0.00005178502,0.00005383378,0.00003221532,0.00001513191,0.0002001513,0.0003908385],"genre_scores_gemma":[0.08130561,0.00006509608,0.9153916,0.00007159981,0.00006172525,0.0001696916,0.0001307759,0.0001196064,0.002684324],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004185149,"threshold_uncertainty_score":0.01400071,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4283396237","doi":"10.1134/s0001434622050091","title":"Winning “Big” in the St. Petersburg Game","year":2022,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Game Theory and Applications","field":"Decision Sciences","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 New Brunswick","funders":"","keywords":"St petersburg; Mathematics; Big game; Mathematical economics; History; Archaeology; Philosophy; Environmental ethics","authors":[{"name":"George Stoica","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1824100390768033,"gpt":0.3939894289647474,"spread":0.2115793898879442,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003057166,0.0009316972,0.001143578,0.001108642,0.001356681,0.003144758,0.001507726,0.001581832,0.004512473],"category_scores_gemma":[0.01487226,0.0006533655,0.0009740109,0.0007320522,0.004337433,0.005471075,0.002979966,0.003721192,0.0005410482],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00188931,"about_ca_system_score_gemma":0.001838068,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008996002,"about_ca_topic_score_gemma":0.0007484348,"domain_scores_codex":[0.9980626,0.0008137915,0.00006545265,0.0003129198,0.0004478857,0.0002974275],"domain_scores_gemma":[0.9922374,0.00591518,0.0004643979,0.0003543507,0.0003517867,0.0006768764],"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":[0.0001066334,0.0000202823,0.0003833835,0.00007316201,0.00003591592,0.0001116551,0.0001438016,0.008201668,0.0009423781,0.9818388,0.001950398,0.006192015],"study_design_scores_gemma":[0.0000373787,0.00003941993,0.0002364959,0.00002384816,0.00002047462,0.0001122761,0.00003637638,0.03206017,0.0007638109,0.9650082,0.001642126,0.00001935352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3352181,0.001357348,0.5418934,0.007731728,0.0005130885,0.000252475,0.0005925818,0.0003166005,0.1121247],"genre_scores_gemma":[0.9655895,0.0008267772,0.02320969,0.0005907302,0.0003051844,0.000195923,0.0000787523,0.00006449755,0.009138947],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004512473,"threshold_uncertainty_score":0.01616806,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W7117115625","doi":"10.1134/s0001434625601534","title":"The Stagnation Phenomena of Electrohydrodynamic Waves in a Channel","year":2025,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Electrohydrodynamics and Fluid Dynamics","field":"Engineering","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 Alberta","funders":"","keywords":"Electrohydrodynamics; Vorticity; Stagnation temperature; Constant (computer programming); Channel (broadcasting); Stagnation point; Particle (ecology); Economic stagnation","authors":[{"name":"T. Feng","is_ca":true},{"name":"H. Yang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.004212077558267923,"gpt":0.2102337429461099,"spread":0.206021665387842,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001853984,0.0002106162,0.0003709529,0.0004492651,0.0003606251,0.0008370421,0.0002581553,0.0003548773,0.0005828891],"category_scores_gemma":[0.0007475303,0.0001717531,0.0001674855,0.0001750083,0.001673463,0.0005512667,0.0005217101,0.0002852771,0.00009072208],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003552543,"about_ca_system_score_gemma":0.0003110829,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006225767,"about_ca_topic_score_gemma":0.0001839341,"domain_scores_codex":[0.9998924,0.0000232895,0.000004121942,0.00001579939,0.00002532959,0.00003895446],"domain_scores_gemma":[0.9997141,0.0001149681,0.00005791023,0.0000187535,0.00004350549,0.00005080829],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00123162,0.0003622107,0.005759055,0.0002931706,0.00008662892,0.003034941,0.001021222,0.1320201,0.7412218,0.09436233,0.001469618,0.01913732],"study_design_scores_gemma":[0.0002159753,0.0006895962,0.009719035,0.00003495679,0.00004254872,0.0006130993,0.0002042368,0.8917953,0.07557377,0.01897992,0.002038112,0.00009351602],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.971292,0.0003820504,0.02296444,0.000141862,0.00003132423,0.00002082296,0.00002488342,0.0001399386,0.005002709],"genre_scores_gemma":[0.9983029,0.00006282217,0.0008944795,0.00001275098,0.00001303881,0.000007589846,0.000007154453,0.000008473935,0.0006906644],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0008370421,"threshold_uncertainty_score":0.002577603,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}