{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":42,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":42,"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":"9c0edea0d2e6","filters":{"venue":"Algebra & Number Theory"}},"results":[{"id":"W2029819824","doi":"10.2140/ant.2014.8.857","title":"Yangians and quantizations of slices in the affine Grassmannian","year":2014,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":82,"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":"National Science Foundation","keywords":"Yangian; Mathematics; Quotient; Grassmannian; Conjecture; Affine transformation; Quantization (signal processing); Pure mathematics; Quantum; Scheme (mathematics); Algebra over a field; Mathematical analysis; Algorithm; Physics; Quantum mechanics","authors":[{"name":"Joel Kamnitzer","is_ca":true},{"name":"Ben Webster","is_ca":false},{"name":"Alex Weekes","is_ca":true},{"name":"Oded Yacobi","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01681092057809338,"gpt":0.2847405043914128,"spread":0.2679295838133194,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004445316,0.000421063,0.000290364,0.000930586,0.001296388,0.001534462,0.0004777812,0.0003845587,0.002768109],"category_scores_gemma":[0.0009194578,0.0002000634,0.0004635248,0.0005728692,0.003731467,0.003000365,0.001289775,0.001013307,0.0002745675],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007822835,"about_ca_system_score_gemma":0.0004376979,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001013312,"about_ca_topic_score_gemma":0.0008430463,"domain_scores_codex":[0.9997264,0.00007097346,0.00001330016,0.00004210062,0.00007457579,0.00007260549],"domain_scores_gemma":[0.9996873,0.00004558788,0.00008263776,0.0000407468,0.00004167972,0.0001020648],"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":[0.00001532226,0.000007550253,0.0003141518,0.000009279409,0.000002824689,0.00006913813,0.0003291991,0.0006610848,0.001131358,0.9962122,0.00009475772,0.001153009],"study_design_scores_gemma":[0.00001504591,0.00005453004,0.0007474899,0.00001231546,0.000005847316,0.0001396463,0.0005341552,0.004865631,0.001149968,0.9905751,0.001887057,0.00001321956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9423561,0.0005814577,0.02542713,0.0005218116,0.0000916948,0.00003393714,0.00005558485,0.00006029231,0.03087211],"genre_scores_gemma":[0.9928527,0.0002504109,0.003727763,0.00004028954,0.00005682864,0.0000134147,0.00003198535,0.00001114173,0.00301544],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002768109,"threshold_uncertainty_score":0.009260237,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1588249100","doi":"10.2140/ant.2011.5.529","title":"On the cluster category of a marked surface without punctures","year":2011,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Sherbrooke","funders":"China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; Institut national de recherche en informatique et en automatique (INRIA); Bishop's University","keywords":"Surface (topology); Indecomposable module; Cluster (spacecraft); Object (grammar); Homotopy","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03208221563882225,"gpt":0.2776467859761315,"spread":0.2455645703373092,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004966465,0.0006368825,0.0007477842,0.003665446,0.002497847,0.002414048,0.001286359,0.001021823,0.005392876],"category_scores_gemma":[0.001075009,0.0003437431,0.0007191237,0.001698076,0.004251027,0.00385859,0.003126767,0.001024015,0.0005580229],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002157461,"about_ca_system_score_gemma":0.0008367024,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003633077,"about_ca_topic_score_gemma":0.002077963,"domain_scores_codex":[0.9994251,0.00007621008,0.00002161997,0.0001292547,0.0002155585,0.0001324595],"domain_scores_gemma":[0.9993074,0.0001628384,0.00009537803,0.00007883969,0.0001485065,0.0002069479],"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":[0.00001606656,0.0000134922,0.0004115486,0.00003284538,0.000008663384,0.000191343,0.0004475906,0.00149502,0.001675338,0.9935648,0.0003460715,0.001797251],"study_design_scores_gemma":[0.00002656332,0.0001029452,0.003039268,0.00003950555,0.00003209518,0.0007209338,0.0009634503,0.01839058,0.003354094,0.9621192,0.01114447,0.00006686704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8483895,0.0007636294,0.081168,0.0005947591,0.0001228244,0.0000697912,0.0002540811,0.0003617825,0.0682756],"genre_scores_gemma":[0.9798132,0.0003101726,0.009162934,0.0001018768,0.00009846108,0.00004178124,0.0002833139,0.0000797674,0.0101086],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005392876,"threshold_uncertainty_score":0.01804096,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004561412","doi":"10.2140/ant.2015.9.13","title":"Surpassing the ratios conjecture in the 1-level density of Dirichlet<i>L</i>-functions","year":2015,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Michigan; Université de Montréal; National Science Foundation","keywords":"Mathematics; Conjecture; Modulo; Combinatorics; Dirichlet distribution; Exponent; Elliott–Halberstam conjecture; Function (biology); Order (exchange); Term (time); Fourier series; Prime number theorem; Discrete mathematics; Collatz conjecture; Mathematical analysis; Prime number; Physics","authors":[{"name":"Daniel Fiorilli","is_ca":false},{"name":"Steven J. Miller","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09839091671557415,"gpt":0.3434882219040066,"spread":0.2450973051884324,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001950794,0.0006482373,0.0009516389,0.002068288,0.001421808,0.002547915,0.001446694,0.0009284738,0.004010842],"category_scores_gemma":[0.01526039,0.0004513674,0.0007852947,0.0006929798,0.003954444,0.00378987,0.002314539,0.001829781,0.0006153681],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001287609,"about_ca_system_score_gemma":0.0004264915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001110288,"about_ca_topic_score_gemma":0.0006762762,"domain_scores_codex":[0.9988865,0.0003043628,0.00003070652,0.0001291002,0.0003965673,0.0002528034],"domain_scores_gemma":[0.9963548,0.002183599,0.000487734,0.0003827704,0.0002486665,0.0003424156],"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":[0.0002215397,0.00006710683,0.005617772,0.0001106274,0.00001676163,0.0004856092,0.0004831619,0.01243608,0.005405032,0.9630175,0.001776393,0.01036239],"study_design_scores_gemma":[0.00006009107,0.00009328075,0.004249571,0.00007690853,0.00002745298,0.0007702373,0.0002771225,0.2266417,0.01001085,0.7555779,0.002146458,0.00006843988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9086248,0.0004839032,0.06116265,0.001487553,0.00008891335,0.00002502951,0.0001087727,0.000462905,0.02755543],"genre_scores_gemma":[0.9930785,0.0001284243,0.004230377,0.00008850269,0.00009844606,0.0000252487,0.00007129556,0.00007862087,0.002200395],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004010842,"threshold_uncertainty_score":0.01341766,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2904405839","doi":"10.2140/ant.2020.14.275","title":"On the definition of quantum Heisenberg category","year":2020,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Perimeter Institute; University of Waterloo; University of Ottawa","funders":"","keywords":"Mathematics; Morphism; Invertible matrix; Symmetric monoidal category; Pure mathematics; Generator (circuit theory); Quantum; Skein; Closed monoidal category; Heisenberg group; Algebra over a field; Discrete mathematics; Quantum mechanics; Physics","authors":[{"name":"Jonathan Brundan","is_ca":false},{"name":"Alistair Savage","is_ca":true},{"name":"Ben Webster","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04993600838735555,"gpt":0.2690766358192068,"spread":0.2191406274318513,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001517832,0.0004479736,0.0006726374,0.002105763,0.002380023,0.002517987,0.001242081,0.00109102,0.005204278],"category_scores_gemma":[0.001423028,0.0002574766,0.0005917371,0.001688682,0.00597734,0.00490309,0.002781245,0.002564493,0.0008948931],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001859095,"about_ca_system_score_gemma":0.001311691,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002060687,"about_ca_topic_score_gemma":0.001351113,"domain_scores_codex":[0.9988182,0.0002841658,0.00008446645,0.000269012,0.00037851,0.0001656633],"domain_scores_gemma":[0.9992169,0.0002002351,0.00005570576,0.00009332983,0.0002903592,0.0001433987],"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":[0.000002274195,0.000004212236,0.00004320225,0.00001087655,0.000001595651,0.00002132398,0.0001211592,0.0001153486,0.0002163151,0.9976156,0.0003311855,0.00151706],"study_design_scores_gemma":[0.000004718793,0.00001258945,0.0002575541,0.00001981749,0.000003530692,0.0001465938,0.0001099292,0.001199021,0.0002700565,0.962907,0.03505304,0.00001610862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.166209,0.01065515,0.4483735,0.008764842,0.002439171,0.0002598503,0.001367805,0.0004723668,0.3614583],"genre_scores_gemma":[0.8530818,0.002860351,0.109233,0.002470769,0.001015252,0.0003912998,0.0006218449,0.0001613921,0.03016441],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005204278,"threshold_uncertainty_score":0.0174101,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2150685975","doi":"10.2140/ant.2008.2.927","title":"Inner derivations of alternative algebras over commutative rings","year":2008,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":20,"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":"Universität Innsbruck","keywords":"Mathematics; Associative property; Commutative property; Associative algebra; Commutative ring; Pure mathematics; Ring (chemistry); Multiplication (music); Algebra over a field; Primary ideal; Algebra representation; Principal ideal ring; Division algebra; Combinatorics","authors":[{"name":"Ottmar Loos","is_ca":false},{"name":"Holger P. Petersson","is_ca":false},{"name":"Michel L. Racine","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03897940677183909,"gpt":0.3255474931068484,"spread":0.2865680863350094,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001226804,0.0004200259,0.0002701773,0.001091896,0.0007878014,0.001375704,0.0005810036,0.0003544575,0.002242658],"category_scores_gemma":[0.001718179,0.0001606827,0.0004101979,0.0007584351,0.00171228,0.003342075,0.001561307,0.001061362,0.0007696537],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004993058,"about_ca_system_score_gemma":0.0004317535,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002641613,"about_ca_topic_score_gemma":0.0003789927,"domain_scores_codex":[0.9992933,0.000165861,0.00006748801,0.0000835648,0.0003025352,0.00008709259],"domain_scores_gemma":[0.9989882,0.0002011507,0.0001953048,0.0001163111,0.000347334,0.0001515721],"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":[0.000006488712,0.000008138793,0.0002129212,0.00001924936,0.000004895663,0.00008688245,0.0003129303,0.0006366239,0.00113682,0.9909882,0.0003115264,0.006275308],"study_design_scores_gemma":[0.000004661187,0.00002816248,0.0003119397,0.00001726036,0.000007807836,0.0002894205,0.0001343124,0.004806373,0.002822467,0.9756601,0.01589811,0.00001947754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3485987,0.003772967,0.5152481,0.001072086,0.0006869171,0.00009060347,0.0002103513,0.0002999491,0.1300203],"genre_scores_gemma":[0.9012347,0.001443383,0.08015158,0.0003280753,0.000362737,0.00006031159,0.0001152006,0.00008718236,0.01621687],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002242658,"threshold_uncertainty_score":0.007502437,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964027396","doi":"10.2140/ant.2012.6.1349","title":"Free subalgebras of quotient rings of Ore extensions","year":2012,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Quotient; Mathematics; Pure mathematics; Algebra over a field","authors":[{"name":"Jason P. Bell","is_ca":true},{"name":"D. Rogalski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02533038548063381,"gpt":0.2834239036532215,"spread":0.2580935181725877,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008166318,0.0004201485,0.0004414353,0.001110249,0.001060625,0.00171839,0.0007425097,0.0002486214,0.004304713],"category_scores_gemma":[0.001534024,0.0003515549,0.0007479189,0.0004534421,0.001857811,0.005354997,0.002115386,0.000969353,0.0007754095],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008922045,"about_ca_system_score_gemma":0.0005313592,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007090215,"about_ca_topic_score_gemma":0.0005100819,"domain_scores_codex":[0.9991245,0.0001340814,0.00007612659,0.0001876276,0.0003039934,0.000173711],"domain_scores_gemma":[0.998809,0.0002649498,0.000223639,0.0001446544,0.000205829,0.0003518997],"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":[0.0001543358,0.00008315642,0.001678246,0.00008331979,0.00002525785,0.000535631,0.0009556817,0.001036792,0.007369964,0.975593,0.0005687821,0.01191577],"study_design_scores_gemma":[0.00008321106,0.0001447077,0.00277304,0.0000265002,0.00003786895,0.000871674,0.0005000214,0.006198902,0.01152188,0.9669146,0.01088737,0.00004035129],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8674445,0.0008466048,0.06893557,0.000346606,0.000100357,0.0001034979,0.0003217494,0.0003573158,0.06154373],"genre_scores_gemma":[0.9777484,0.0002349638,0.01133957,0.00007265772,0.0001332748,0.00005276941,0.0003196077,0.00003865047,0.01006015],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004304713,"threshold_uncertainty_score":0.01440066,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1781144027","doi":"10.2140/ant.2013.7.2545","title":"Triangulable 𝒪<sub><i>F</i></sub>-analytic (<i>φ</i><sub><i>q</i></sub><i>,</i>Γ)-modules of rank 2","year":2013,"lang":"yi","type":"article","venue":"Algebra & Number Theory","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"National Natural Science Foundation of China; Centre de Recherches Mathématiques","keywords":"Rank (graph theory); Algebra over a field; Field (mathematics); Degree (music)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.01216299477178877,"gpt":0.2488226037362906,"spread":0.2366596089645018,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006442567,0.0009253791,0.0004868945,0.002763892,0.002337869,0.002933675,0.001026998,0.0008031214,0.01171337],"category_scores_gemma":[0.001090901,0.0005675277,0.000562869,0.001002358,0.002387418,0.003152031,0.002532183,0.001574846,0.001391159],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001782212,"about_ca_system_score_gemma":0.0006634156,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001649998,"about_ca_topic_score_gemma":0.002486731,"domain_scores_codex":[0.9995073,0.00005958053,0.00001852704,0.0001029239,0.000141819,0.0001698736],"domain_scores_gemma":[0.9991446,0.0001538788,0.0001848264,0.00007215692,0.0001879055,0.0002565297],"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":[0.0001227031,0.00009149322,0.002718249,0.00007654356,0.00004430196,0.0006495905,0.001513296,0.001198812,0.0109977,0.9705459,0.002466737,0.009574523],"study_design_scores_gemma":[0.0000669114,0.0001144414,0.007481301,0.00003909662,0.00005884392,0.001163396,0.001499634,0.006569512,0.01490297,0.9467896,0.02124804,0.00006619206],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7380791,0.0007793479,0.09278201,0.0006948822,0.0002831805,0.0001868249,0.0008988912,0.0007795813,0.1655163],"genre_scores_gemma":[0.9445785,0.0002303119,0.01481982,0.0002166186,0.0001426087,0.0000858737,0.0009757802,0.0001632034,0.03878735],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01171337,"threshold_uncertainty_score":0.03918511,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2786580612","doi":"10.2140/ant.2019.13.901","title":"Iwasawa theory for Rankin-Selberg products ofp-nonordinary eigenforms","year":2019,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":17,"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; Iwasawa theory; Conjecture; Pure mathematics; Supersingular elliptic curve; Modular form; Modulo; Cohomology; Euler system; Euler's formula; Logarithm; Algebra over a field; Elliptic curve; Combinatorics; Mathematical analysis; Euler equations","authors":[{"name":"Kâzım Büyükboduk","is_ca":false},{"name":"Antonio Lei","is_ca":true},{"name":"David Loeffler","is_ca":false},{"name":"Guhan Venkat","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01924676777932439,"gpt":0.2783408783491633,"spread":0.2590941105698389,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007596673,0.0006146925,0.0004273161,0.001839156,0.001253988,0.002325359,0.0006980684,0.0005034373,0.004632101],"category_scores_gemma":[0.001037742,0.0003702205,0.0004958872,0.0008370378,0.003205898,0.003999874,0.001530071,0.000833047,0.0006542534],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001321895,"about_ca_system_score_gemma":0.0004692549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005170351,"about_ca_topic_score_gemma":0.0004520277,"domain_scores_codex":[0.9996221,0.00005369995,0.00002110245,0.00007829924,0.0001182456,0.0001066038],"domain_scores_gemma":[0.9995521,0.00008257206,0.00009836874,0.00005981372,0.00005888774,0.0001482073],"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":[0.00001437549,0.00001378769,0.0003659137,0.00001254828,0.000002296779,0.00007184837,0.000291941,0.0005200695,0.001638673,0.9948256,0.0001749156,0.002068101],"study_design_scores_gemma":[0.00001404813,0.00003367422,0.000893892,0.00001359025,0.000004552023,0.0002087635,0.0001935789,0.00990739,0.002509369,0.9840952,0.00211077,0.00001519733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8934498,0.0003682555,0.06454257,0.0004818384,0.00007786864,0.00003101802,0.00008467494,0.00009441029,0.04086951],"genre_scores_gemma":[0.9795512,0.0002190153,0.007220181,0.00008661136,0.00009482036,0.0000360825,0.00009244656,0.00002531715,0.01267442],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004632101,"threshold_uncertainty_score":0.01549596,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2042563327","doi":"10.2140/ant.2010.4.599","title":"Transverse quiver Grassmannians and bases in affine cluster algebras","year":2010,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Quiver; Mathematics; Cluster algebra; Affine transformation; Pure mathematics; Cluster (spacecraft); Algebra over a field; Physics; Computer science","authors":[{"name":"Grégoire Dupont","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01168369340383933,"gpt":0.2701150595188001,"spread":0.2584313661149608,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003956316,0.0002985712,0.0003831763,0.001515674,0.001698131,0.001973219,0.0006758313,0.0003877927,0.002959745],"category_scores_gemma":[0.0007699203,0.0002799132,0.0004046132,0.001141139,0.002243031,0.001956222,0.001062729,0.0009210009,0.0003791158],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001014626,"about_ca_system_score_gemma":0.0005985455,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001898897,"about_ca_topic_score_gemma":0.001898247,"domain_scores_codex":[0.9997349,0.0000477387,0.00001396829,0.00004918471,0.00007620334,0.00007807833],"domain_scores_gemma":[0.999702,0.00003177281,0.00006044809,0.00003722142,0.0000669384,0.0001015646],"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":[0.00001118043,0.000007389091,0.0002054657,0.000006266587,0.000001928898,0.00003655964,0.00009132994,0.0006257895,0.0007721001,0.996687,0.0002232469,0.001331659],"study_design_scores_gemma":[0.00001851335,0.00005059235,0.001168986,0.00001515624,0.00001234702,0.0001878741,0.0002649245,0.0125393,0.002456805,0.9788533,0.004405477,0.00002682669],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8881184,0.0003274702,0.05817918,0.0004038137,0.0001105484,0.0000442993,0.0001686896,0.0001228441,0.05252476],"genre_scores_gemma":[0.9864904,0.0001615891,0.006951166,0.00006674296,0.00006465231,0.0000286059,0.00012969,0.0000182452,0.006088926],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002959745,"threshold_uncertainty_score":0.009901404,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963477335","doi":"10.2140/ant.2010.4.1077","title":"On the minimal ramification problem for semiabelian groups","year":2010,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ramification; Pure mathematics; Arithmetic; Algebra over a field","authors":[{"name":"Hershy Kisilevsky","is_ca":true},{"name":"Danny Neftin","is_ca":false},{"name":"Jack Sonn","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03579135982121796,"gpt":0.3185020560373827,"spread":0.2827106962161648,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001766464,0.0004010471,0.0007270461,0.000818658,0.001909903,0.001869421,0.001194328,0.00109098,0.005575178],"category_scores_gemma":[0.003182204,0.0002673168,0.0005898097,0.0005467544,0.004968519,0.006249433,0.002253778,0.00201916,0.0005909264],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001034059,"about_ca_system_score_gemma":0.000623263,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003800001,"about_ca_topic_score_gemma":0.0004239595,"domain_scores_codex":[0.9992532,0.0002222643,0.00004422882,0.000164864,0.0001650803,0.0001503307],"domain_scores_gemma":[0.9984107,0.0009035664,0.0001652775,0.000231004,0.0001046716,0.0001847232],"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":[0.00005523705,0.00002268645,0.0002369517,0.00004556324,0.000004218469,0.00005730432,0.0004699924,0.0007625315,0.001000975,0.9908801,0.0004563384,0.006007968],"study_design_scores_gemma":[0.00001516644,0.00001759005,0.00009956591,0.00001279843,0.000003375262,0.00005835493,0.0002134292,0.00180505,0.0009660517,0.9951648,0.001636545,0.000007265523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7288491,0.0017356,0.1541046,0.006054137,0.0001612295,0.00008721109,0.0001905968,0.0002666562,0.1085508],"genre_scores_gemma":[0.9677547,0.0003570396,0.02428195,0.0001996411,0.000138281,0.00006381234,0.0001555264,0.00004040816,0.007008516],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005575178,"threshold_uncertainty_score":0.01865083,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2091890053","doi":"10.2140/ant.2015.9.629","title":"Fano schemes of determinants and permanents","year":2015,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Fano plane; Dimension (graph theory); Mathematics; Combinatorics; Matrix (chemical analysis); Geometry","authors":[{"name":"Melody Chan","is_ca":false},{"name":"Nathan Ilten","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04219858865331774,"gpt":0.3143603388071043,"spread":0.2721617501537866,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003789873,0.0003819174,0.0002598619,0.001369164,0.00119585,0.001931216,0.000338461,0.0003591493,0.004899922],"category_scores_gemma":[0.001508587,0.0001895972,0.0003349185,0.0007958664,0.002883749,0.003012558,0.001544512,0.0008041618,0.0003974055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001000407,"about_ca_system_score_gemma":0.0003601836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001333634,"about_ca_topic_score_gemma":0.0007721095,"domain_scores_codex":[0.9995641,0.00008058882,0.00001846716,0.00008467928,0.0001528316,0.00009923604],"domain_scores_gemma":[0.9995103,0.000110168,0.0000835059,0.00007473345,0.000077661,0.0001435851],"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":[0.000008657618,0.000002956661,0.0002521424,0.000006367365,0.000001133926,0.00001856434,0.0001167265,0.0002306103,0.0003317388,0.9967896,0.0002311131,0.002010416],"study_design_scores_gemma":[0.00001511821,0.00001838149,0.002289426,0.00002062067,0.000005291218,0.0002559435,0.0002617465,0.003491736,0.00103607,0.9782266,0.01436022,0.0000187722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7492577,0.001061582,0.05447672,0.001196554,0.0001442108,0.00004448434,0.000523517,0.0001832338,0.1931119],"genre_scores_gemma":[0.9865873,0.0002459235,0.004427077,0.0000506432,0.00005622959,0.00001602361,0.000156398,0.0000197414,0.008440535],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004899922,"threshold_uncertainty_score":0.01639187,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2557773863","doi":"10.2140/ant.2018.12.343","title":"D-groups and the Dixmier–Moeglin equivalence","year":2018,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Equivalence (formal languages); Algebra over a field; Commutative property; Equivalence of categories; Field (mathematics); Hopf algebra; Commutative ring; Commutative algebra","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.01926726339351492,"gpt":0.3022932479241979,"spread":0.283025984530683,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007280313,0.000366319,0.0002688997,0.001783717,0.001381329,0.001796801,0.0004385658,0.0006736469,0.004861026],"category_scores_gemma":[0.001327493,0.0001391194,0.000416295,0.0007767307,0.003975786,0.004349653,0.002494798,0.001300009,0.0003934493],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00113433,"about_ca_system_score_gemma":0.0004660728,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007158622,"about_ca_topic_score_gemma":0.000437451,"domain_scores_codex":[0.9996268,0.00009273592,0.00001802444,0.00009357367,0.00009231423,0.00007656396],"domain_scores_gemma":[0.9995294,0.0001639488,0.00007887067,0.00006456154,0.00007309894,0.00009018212],"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":[0.000006341058,0.000003395276,0.00007743829,0.00000364906,8.810117e-7,0.00001779237,0.00007887433,0.00009551361,0.000173999,0.9979813,0.0001375034,0.001423259],"study_design_scores_gemma":[0.000006294611,0.00001145183,0.0002159932,0.000006323028,0.00000169683,0.00006927551,0.00009589559,0.000794781,0.0003070169,0.9935248,0.004961632,0.000004714608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5154454,0.002850115,0.1251853,0.004992533,0.0006049108,0.00006625299,0.0002167589,0.0001253285,0.3505133],"genre_scores_gemma":[0.9747263,0.0005965027,0.01077517,0.0003829704,0.0001913132,0.00002841065,0.00007987228,0.00001529409,0.01320417],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004861026,"threshold_uncertainty_score":0.01626176,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2780014541","doi":"10.2140/ant.2019.13.1829","title":"Theta operators on unitary Shimura varieties","year":2019,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Unitary state; Shimura variety; Pure mathematics; Quadratic field; Scalar (mathematics); Signature (topology); Algebra over a field; Modular form; Unitary operator; Operator (biology); Modular design; Field (mathematics); Quadratic equation; Hilbert space; Quadratic function; Geometry","authors":[{"name":"Ehud de Shalit","is_ca":false},{"name":"Eyal Z. Goren","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01557594841114657,"gpt":0.2840424197527475,"spread":0.268466471341601,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006785379,0.0008345994,0.0004860193,0.001892933,0.001227621,0.001424382,0.0007180506,0.0006851272,0.003386206],"category_scores_gemma":[0.001717129,0.0002636269,0.0005842932,0.0007593413,0.003196244,0.002496609,0.001753607,0.001440873,0.0004501102],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005249718,"about_ca_system_score_gemma":0.0004064523,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003409537,"about_ca_topic_score_gemma":0.0002783967,"domain_scores_codex":[0.9996765,0.00007282155,0.00001511152,0.00005131916,0.00009262429,0.00009172312],"domain_scores_gemma":[0.999321,0.0001237183,0.0001185229,0.00007595496,0.00009086675,0.000269916],"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":[0.00003453488,0.00002701015,0.000286436,0.00001863317,0.000003531067,0.0001620116,0.0004398671,0.0008024368,0.003583072,0.9912616,0.0002420949,0.003138773],"study_design_scores_gemma":[0.00005522398,0.0001319677,0.0007530596,0.00003341081,0.00001062442,0.0004911482,0.0005665472,0.01569108,0.00437253,0.974918,0.002938702,0.00003759905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9010395,0.000400545,0.05929212,0.0003927565,0.0002605879,0.00004581827,0.0000479015,0.0001980179,0.03832281],"genre_scores_gemma":[0.9855704,0.0002647846,0.006701561,0.00008618114,0.0001845489,0.0000300956,0.00002676987,0.00006039051,0.007075252],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003386206,"threshold_uncertainty_score":0.01132798,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4386891276","doi":"10.2140/ant.2023.17.1789","title":"Differences between perfect powers: prime power gaps","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Prime (order theory); Prime power; Power (physics); Pure mathematics; Combinatorics; Physics","authors":[{"name":"Michael A. Bennett","is_ca":true},{"name":"Samir Siksek","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02957293754923262,"gpt":0.2950847403366215,"spread":0.2655118027873889,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001416882,0.0005746512,0.0007434821,0.001432543,0.001198631,0.002536378,0.001159389,0.0008201614,0.009365348],"category_scores_gemma":[0.0103124,0.0004778201,0.0005662952,0.001074118,0.004031708,0.01062549,0.003229729,0.003520659,0.001462751],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008289547,"about_ca_system_score_gemma":0.0004730106,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003251831,"about_ca_topic_score_gemma":0.0002961917,"domain_scores_codex":[0.9987476,0.0001724796,0.00007458937,0.0003707769,0.0004407886,0.0001938874],"domain_scores_gemma":[0.9971936,0.001504109,0.0003276767,0.0005428909,0.0002156345,0.0002161005],"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":[0.00004379588,0.00001627757,0.0005765002,0.0000295543,0.000002985957,0.0001776227,0.0003609546,0.001573059,0.0005070022,0.9849584,0.0009413845,0.01081234],"study_design_scores_gemma":[0.000006786847,0.0000136403,0.0001003923,0.00001371146,0.00000311927,0.0001316112,0.00006655962,0.005261771,0.0006996279,0.9893589,0.004338217,0.000005554212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3499563,0.001338001,0.4851614,0.002587026,0.0008919513,0.00009268994,0.0003035985,0.0006495858,0.1590195],"genre_scores_gemma":[0.9495324,0.0004082783,0.03878694,0.0002327332,0.0003236963,0.00004763114,0.0001080112,0.000190264,0.01036991],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009365348,"threshold_uncertainty_score":0.03133023,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2947836854","doi":"10.2140/ant.2023.17.1239","title":"Counting abelian varieties over finite fields via Frobenius densities","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Association for Women in Mathematics; National Science Foundation","keywords":"Mathematics; Endomorphism ring; Isogeny; Abelian group; Abelian variety; Finite field; Pure mathematics; Lambda; Variety (cybernetics); Prime (order theory); Field (mathematics); Noncommutative geometry; Endomorphism; Product (mathematics); Commutative property; Combinatorics; Discrete mathematics; Geometry; Physics","authors":[{"name":"Jeffrey D. Achter","is_ca":false},{"name":"Salim Ali Altuğ","is_ca":false},{"name":"Luis García","is_ca":false},{"name":"Julia Gordon","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02030173116754738,"gpt":0.2745717465723018,"spread":0.2542700154047544,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001722418,0.0005651682,0.0006996322,0.004667566,0.001515378,0.003549919,0.001207754,0.0008817053,0.004116701],"category_scores_gemma":[0.005847047,0.0005065253,0.0006291524,0.001491606,0.004740988,0.007671343,0.002473871,0.001059538,0.0003062162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002001018,"about_ca_system_score_gemma":0.0004774907,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001284771,"about_ca_topic_score_gemma":0.00109079,"domain_scores_codex":[0.9990135,0.000214155,0.00005584383,0.0001849488,0.0003440237,0.0001874494],"domain_scores_gemma":[0.99782,0.001140712,0.0003114369,0.0001858874,0.0002200162,0.000321876],"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":[0.00001798874,0.000009066192,0.0008879118,0.0000168887,0.000004482496,0.00006485575,0.0002255815,0.001011018,0.0007179712,0.9944934,0.0001685207,0.002382403],"study_design_scores_gemma":[0.000009466276,0.00002268231,0.001075479,0.00002871095,0.00001112464,0.0001930508,0.000178816,0.02082425,0.001798342,0.9742513,0.001586102,0.00002069313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8273931,0.0004680081,0.1395712,0.0005321521,0.00006770602,0.00008046824,0.0001359421,0.0001780624,0.03157348],"genre_scores_gemma":[0.981577,0.0002245583,0.01331803,0.0000422092,0.000114834,0.00006985985,0.0000800537,0.00005325052,0.004520189],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004667566,"threshold_uncertainty_score":0.01451844,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4211099063","doi":"10.2140/ant.2021.15.2403","title":"Remarks on generating series for special cycles on orthogonal Shimura varieties","year":2021,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":6,"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; Shimura variety; Modular form; Codimension; Series (stratigraphy); Pure mathematics; Signature (topology); Combinatorics; Cohomology; Algebraic cycle; TRACE (psycholinguistics); Group (periodic table); Conjecture; Algebraic number; Algebra over a field; Mathematical analysis; Geometry","authors":[{"name":"Stephen S. Kudla","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02437229813417057,"gpt":0.3062580264482149,"spread":0.2818857283140443,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008560683,0.0005390942,0.0004095505,0.001427174,0.0009594653,0.001067583,0.0006326389,0.0004771879,0.007297335],"category_scores_gemma":[0.00186366,0.0001880431,0.0005581551,0.0005510844,0.001566266,0.00185576,0.001356209,0.0009306131,0.0004214855],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005297821,"about_ca_system_score_gemma":0.0001668759,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004500399,"about_ca_topic_score_gemma":0.0003804573,"domain_scores_codex":[0.999711,0.00006187486,0.00001416126,0.00005933731,0.00009393098,0.00005969568],"domain_scores_gemma":[0.9992914,0.0002801224,0.0001263333,0.00008144054,0.00008617016,0.0001344297],"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":[0.00004431072,0.00002614707,0.001597489,0.00003739719,0.000005466665,0.0003157307,0.0004583298,0.001499692,0.002055639,0.9857314,0.001074731,0.007153618],"study_design_scores_gemma":[0.00002510729,0.00008720746,0.002633358,0.00003207819,0.00001183649,0.0005147218,0.00028906,0.01174874,0.003161843,0.9725367,0.00893599,0.00002330704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8434855,0.001026578,0.05565219,0.003017325,0.0003919669,0.00004001669,0.0001750496,0.0003016056,0.09590966],"genre_scores_gemma":[0.9852297,0.0004369535,0.004935863,0.0001972389,0.0003341291,0.00002446982,0.00009568151,0.00004046691,0.008705547],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007297335,"threshold_uncertainty_score":0.02441204,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1994766170","doi":"10.2140/ant.2015.9.77","title":"Adequate groups of low degree","year":2015,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"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; Simons Foundation; National Science Foundation","keywords":"Mathematics; Dimension (graph theory); Galois module; Degree (music); Pure mathematics; Irreducible representation; Algebra over a field","authors":[{"name":"Robert M. Guralnick","is_ca":false},{"name":"Florian Herzig","is_ca":true},{"name":"Pham Huu Tiep","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06398023672917424,"gpt":0.2998797028834007,"spread":0.2358994661542265,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009203071,0.0003870263,0.0005147515,0.001256853,0.0009313373,0.001608872,0.0003576213,0.0003295628,0.00525104],"category_scores_gemma":[0.002455803,0.0002226608,0.0004505554,0.0005260304,0.002528605,0.002638045,0.003175931,0.001077686,0.000649057],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007725128,"about_ca_system_score_gemma":0.0003120976,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00029038,"about_ca_topic_score_gemma":0.0002804462,"domain_scores_codex":[0.999017,0.0002501331,0.00005768114,0.000168707,0.0003038227,0.0002026549],"domain_scores_gemma":[0.9984712,0.0003618599,0.0002284464,0.0002756062,0.0002310361,0.0004318474],"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":[0.0001072518,0.00002185704,0.001166359,0.00004734147,0.00001511836,0.0001668871,0.0008010181,0.0004890788,0.003542322,0.9856184,0.0008796569,0.007144808],"study_design_scores_gemma":[0.00003969282,0.00006787822,0.001672643,0.00002219844,0.00001996771,0.0003460104,0.0004455835,0.002876667,0.001650586,0.981697,0.0111468,0.00001489604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8359743,0.001193111,0.09057446,0.001647141,0.0002689334,0.00008129901,0.0002716006,0.0002649433,0.06972424],"genre_scores_gemma":[0.9895272,0.0001155465,0.003778873,0.0001107059,0.00009925344,0.00002602499,0.0001361433,0.00001630397,0.006189994],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00525104,"threshold_uncertainty_score":0.0175665,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2207221696","doi":"10.2140/ant.2016.10.1091","title":"Hoffmann’s conjecture for totally singular forms of prime degree","year":2016,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"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":"Conjecture; Prime (order theory); Degree (music); Isotropic quadratic form; Isotropy; Invariant (physics); Quadratic equation; Finite field; Field (mathematics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02895784451281535,"gpt":0.2848376640022399,"spread":0.2558798194894245,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006345659,0.0003017258,0.0003532072,0.0006779084,0.0006050948,0.0009817068,0.0004460816,0.0005351017,0.003057616],"category_scores_gemma":[0.001978203,0.0001895608,0.0004688882,0.0004084895,0.002713946,0.002035907,0.00101561,0.0009070954,0.0005089372],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004514397,"about_ca_system_score_gemma":0.0003284596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007374149,"about_ca_topic_score_gemma":0.0004764262,"domain_scores_codex":[0.9996203,0.00005763814,0.00001503235,0.00007872101,0.0001599916,0.00006826413],"domain_scores_gemma":[0.999406,0.0001855123,0.0001112517,0.0001444098,0.00007555229,0.00007724843],"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":[0.00007767008,0.00001648844,0.001482437,0.00003376929,0.000008835952,0.000192651,0.0003355023,0.002152767,0.002235956,0.9814488,0.001260357,0.01075467],"study_design_scores_gemma":[0.00001577943,0.0000285078,0.001368544,0.00001323175,0.000005525034,0.0002885357,0.0001326674,0.007457076,0.001517505,0.9866208,0.002537858,0.00001408682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8423105,0.00060451,0.05312661,0.001742421,0.0001556427,0.00001732354,0.0001002505,0.0002024451,0.1017402],"genre_scores_gemma":[0.99106,0.0001872937,0.003322835,0.0001149856,0.0001035015,0.000006286269,0.00007218321,0.00001779229,0.005115289],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003057616,"threshold_uncertainty_score":0.01022881,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2906339074","doi":"10.2140/ant.2020.14.907","title":"Deformations of smooth complete toric varieties: obstructions and the cup product","year":2020,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Toric variety; Product (mathematics); Variety (cybernetics); Pure mathematics; Space (punctuation); Combinatorics; Geometry; Computer science","authors":[{"name":"Nathan Ilten","is_ca":true},{"name":"Charles Turo","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02984610413014171,"gpt":0.2571308960968449,"spread":0.2272847919667032,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003212558,0.0006454035,0.000514959,0.001083847,0.001849659,0.002436475,0.0004766044,0.0006910224,0.003813226],"category_scores_gemma":[0.000770517,0.0003127881,0.0005353145,0.0006906926,0.003623753,0.002707441,0.002375346,0.001388535,0.0003993002],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009198118,"about_ca_system_score_gemma":0.0003686561,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001134534,"about_ca_topic_score_gemma":0.0009526369,"domain_scores_codex":[0.9996511,0.00005243351,0.00001663126,0.00004975234,0.0001276031,0.0001024638],"domain_scores_gemma":[0.9997247,0.00005119434,0.00004384751,0.00004884671,0.00002810075,0.0001032334],"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":[0.00005441864,0.00002053257,0.0007861787,0.00003701348,0.000007256691,0.000868239,0.0006159146,0.003235364,0.002600486,0.9875103,0.001098191,0.003166243],"study_design_scores_gemma":[0.00002740627,0.00005430355,0.003715372,0.00003418154,0.0000213179,0.001597944,0.0008060664,0.01739706,0.003274956,0.9599991,0.0129996,0.00007255607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.8722932,0.0009325601,0.03980039,0.001007731,0.0002010293,0.00003705799,0.0002314204,0.0003805215,0.08511614],"genre_scores_gemma":[0.9920021,0.0001734622,0.002692726,0.00004165305,0.00005260991,0.00001134023,0.00008885508,0.00005027336,0.004886921],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.003813226,"threshold_uncertainty_score":0.01275653,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2029858892","doi":"10.2140/ant.2009.3.467","title":"The essential dimension of the normalizer of a maximal torus in the projective linear group","year":2009,"lang":"en","type":"preprint","venue":"Algebra & Number Theory","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of British Columbia","keywords":"Centralizer and normalizer; Mathematics; Maximal torus; Combinatorics; Torus; Projective linear group; Dimension (graph theory); Prime (order theory); Group (periodic table); Field (mathematics); Discrete mathematics; Pure mathematics; Projective test; Projective space; Physics; Complex projective space; Geometry","authors":[{"name":"Aurel Meyer","is_ca":true},{"name":"Zinovy Reichstein","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0291354008461915,"gpt":0.3305079666289888,"spread":0.3013725657827974,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004670724,0.0003334218,0.0003590067,0.001758978,0.0006689178,0.001394749,0.00057741,0.0003276895,0.002862151],"category_scores_gemma":[0.001814825,0.0001802326,0.0002634012,0.000633647,0.00282923,0.002117647,0.001427148,0.0006307137,0.0002477896],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007216979,"about_ca_system_score_gemma":0.0002550045,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004762353,"about_ca_topic_score_gemma":0.0004269803,"domain_scores_codex":[0.9997239,0.0000490285,0.00001356527,0.00005407669,0.00007197972,0.00008742452],"domain_scores_gemma":[0.9990628,0.0003246441,0.000208552,0.00007393723,0.00007662256,0.0002535331],"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":[0.0006568455,0.00009403809,0.01778313,0.000200337,0.00006514542,0.0009701249,0.001408883,0.01255203,0.0243272,0.9159789,0.001958207,0.02400522],"study_design_scores_gemma":[0.00007870786,0.0002892626,0.03088229,0.00007006707,0.00006274749,0.001726295,0.001009412,0.04839081,0.02740125,0.8828712,0.007107226,0.0001108001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9769488,0.0002210685,0.01123569,0.0001562314,0.00004109318,0.000006981148,0.0001842383,0.00006513878,0.01114072],"genre_scores_gemma":[0.9972163,0.00009369372,0.001518865,0.000008454635,0.0000360129,0.000006724654,0.00009553456,0.00001158851,0.001012792],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002862151,"threshold_uncertainty_score":0.00957489,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4394838481","doi":"10.2140/ant.2024.18.993","title":"Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect","year":2024,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":5,"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":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cusp (singularity); Holomorphic function; Degree (music); Siegel modular form; Pure mathematics; Geometry; Modular form","authors":[{"name":"Henry H. Kim","is_ca":true},{"name":"Satoshi Wakatsuki","is_ca":false},{"name":"Takuya Yamauchi","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06957628322494355,"gpt":0.339914495463285,"spread":0.2703382122383414,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001853007,0.0007408705,0.0008195408,0.003745833,0.001803146,0.001788161,0.001510061,0.000902549,0.004876352],"category_scores_gemma":[0.007998245,0.0004205916,0.001610324,0.001000963,0.002922116,0.005110455,0.003771603,0.002773077,0.0005745142],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001686485,"about_ca_system_score_gemma":0.0003933933,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004863674,"about_ca_topic_score_gemma":0.0004076011,"domain_scores_codex":[0.9990587,0.00014693,0.00006105305,0.0002325509,0.0003074638,0.0001933138],"domain_scores_gemma":[0.9965299,0.001458128,0.0004302613,0.0004637649,0.0006743523,0.0004436188],"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":[0.00006407078,0.00004040184,0.006198324,0.0001146971,0.0000361006,0.0005731047,0.001013037,0.002010165,0.003890654,0.9682164,0.0009924399,0.01685076],"study_design_scores_gemma":[0.00003084262,0.0001653436,0.006018582,0.00008452738,0.00007655947,0.001830781,0.0007596332,0.04290156,0.008146766,0.9316441,0.008279514,0.0000618228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6508965,0.001124919,0.2860673,0.0008866076,0.0001879408,0.00009505122,0.0001599286,0.0002666307,0.06031522],"genre_scores_gemma":[0.9644778,0.000597641,0.02395019,0.0002272528,0.0001478524,0.00007493029,0.0001753419,0.0000923358,0.01025681],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004876352,"threshold_uncertainty_score":0.01631302,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4321351198","doi":"10.2140/ant.2023.17.165","title":"On unipotent radicals of motivic Galois groups","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto; University of Winnipeg","funders":"Division of Mathematical Sciences; University of Toronto; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Unipotent; Surjective function; Filtration (mathematics); Extension (predicate logic); Zero (linguistics); Combinatorics; Discrete mathematics; Pure mathematics","authors":[{"name":"Payman Eskandari","is_ca":true},{"name":"V. Kumar Murty","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02567835568616372,"gpt":0.2914824566777963,"spread":0.2658041009916325,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001675315,0.0008681692,0.0006129835,0.003143163,0.002120026,0.002538737,0.0008387299,0.0009354068,0.003588106],"category_scores_gemma":[0.002270225,0.0006572971,0.0009328657,0.0009457772,0.004351026,0.00579188,0.004437048,0.001494334,0.0004698923],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001344655,"about_ca_system_score_gemma":0.0004937292,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005652229,"about_ca_topic_score_gemma":0.0006529273,"domain_scores_codex":[0.9986644,0.0002819685,0.00009377431,0.0002522601,0.0003260546,0.0003815401],"domain_scores_gemma":[0.9982297,0.0005846904,0.0002951207,0.0001511284,0.0001961328,0.0005432751],"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":[0.00008091249,0.00005008882,0.001609819,0.0001172338,0.0000244871,0.0007051728,0.00196179,0.00107866,0.006464156,0.9794616,0.0003681994,0.008077792],"study_design_scores_gemma":[0.00004582673,0.0002508404,0.004018678,0.0001130994,0.00004280476,0.0007198176,0.000661759,0.005869167,0.002753536,0.9767731,0.008695855,0.00005557476],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8740569,0.00415787,0.06855275,0.0006678045,0.0002886565,0.00008728971,0.0001823317,0.0001865535,0.05181981],"genre_scores_gemma":[0.9754881,0.001454224,0.01138003,0.0001270307,0.0005714619,0.000107204,0.0001240856,0.00004718712,0.0107007],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003588106,"threshold_uncertainty_score":0.01200342,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963641145","doi":"10.2140/ant.2008.2.979","title":"The number of 2×2 integer matrices having a prescribed integer eigenvalue","year":2008,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Random Matrices and Applications","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 British Columbia","funders":"","keywords":"Integer (computer science); Mathematics; Integer matrix; Eigenvalues and eigenvectors; Divide-and-conquer eigenvalue algorithm; Integer points in convex polyhedra; Matrix (chemical analysis); Random matrix; Probability distribution; Combinatorics; Interval (graph theory); Discrete mathematics; Integer programming; Symmetric matrix; Branch and price; Nonnegative matrix; Mathematical optimization; Statistics; Computer science","authors":[{"name":"Greg Martin","is_ca":true},{"name":"Erick B. Wong","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02768472433392679,"gpt":0.3101371751155966,"spread":0.2824524507816699,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003592539,0.0006374615,0.001100606,0.001514553,0.00147198,0.003958732,0.001848251,0.001554682,0.006906605],"category_scores_gemma":[0.03317385,0.0005075113,0.0006198384,0.001359538,0.003624827,0.006685745,0.001742173,0.00157276,0.000912905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009183511,"about_ca_system_score_gemma":0.0005687363,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003387015,"about_ca_topic_score_gemma":0.0002832983,"domain_scores_codex":[0.9970093,0.001022955,0.0001883224,0.0007619907,0.0006590466,0.0003582682],"domain_scores_gemma":[0.9704517,0.02079195,0.002984957,0.00239703,0.001787664,0.001586682],"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":[0.0005728636,0.0001020004,0.008522885,0.0003542431,0.00008975694,0.0003047078,0.0006771205,0.0212319,0.009736336,0.9148092,0.004712906,0.03888613],"study_design_scores_gemma":[0.0001117357,0.0002477902,0.007179307,0.0001510893,0.00007849296,0.001370667,0.0005843767,0.1463368,0.01435128,0.8184184,0.01094999,0.0002200856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6160333,0.001824227,0.3281717,0.005755087,0.0005893124,0.0001759071,0.001739754,0.0007056166,0.04500503],"genre_scores_gemma":[0.9641018,0.001043391,0.02224561,0.0004238278,0.0004535688,0.0002719281,0.0006821456,0.0001530814,0.0106248],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006906605,"threshold_uncertainty_score":0.02310485,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3124751536","doi":"10.2140/ant.2019.13.19","title":"Variance of arithmetic sums and L-functions in𝔽q[t]","year":2019,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Analytic Number Theory Research","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":"Western University","funders":"","keywords":"Mathematics; Divisor (algebraic geometry); Degree (music); Divisor function; Conjugacy class; Function (biology); Limit (mathematics); Elliptic curve; Combinatorics; Pure mathematics; Arithmetic; Mathematical analysis","authors":[{"name":"Chris Hall","is_ca":true},{"name":"Jonathan P. Keating","is_ca":false},{"name":"Edva Roditty-Gershon","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02132542378543753,"gpt":0.3024174447755313,"spread":0.2810920209900938,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001458518,0.0005434557,0.0003221867,0.002686378,0.0004063649,0.001478282,0.0009515895,0.000472589,0.002866021],"category_scores_gemma":[0.008412277,0.0001517965,0.0003519212,0.001114915,0.001291814,0.001753082,0.001005172,0.001046801,0.0006096236],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000744225,"about_ca_system_score_gemma":0.0004419026,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00051092,"about_ca_topic_score_gemma":0.0003915669,"domain_scores_codex":[0.9994752,0.0001144391,0.00002567031,0.0000947147,0.0001736914,0.0001163223],"domain_scores_gemma":[0.9970022,0.001498437,0.0005767281,0.0002931386,0.0003908826,0.0002385938],"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":[0.0003592801,0.000153807,0.01354398,0.000159318,0.00008166687,0.000579985,0.000719605,0.09074409,0.0257255,0.8221201,0.002498374,0.0433143],"study_design_scores_gemma":[0.00002035717,0.0001287884,0.01129478,0.00007192617,0.00005045107,0.0004618214,0.0002869204,0.5718923,0.02515907,0.3873973,0.003097887,0.000138366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8599895,0.0003437198,0.1165682,0.0003649557,0.00008841426,0.00002318069,0.0002385187,0.0004501705,0.02193332],"genre_scores_gemma":[0.9890226,0.0001357192,0.007604556,0.00003539521,0.00008827482,0.00002625972,0.0001807118,0.0001030822,0.002803498],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002866021,"threshold_uncertainty_score":0.009587824,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2939088478","doi":"10.2140/ant.2019.13.513","title":"Essential dimension of inseparable field extensions","year":2019,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","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 British Columbia","funders":"Science and Engineering Research Board","keywords":"Mathematics; Separable space; Dimension (graph theory); Field extension; Degree (music); Field (mathematics); Invariant (physics); Extension (predicate logic); Combinatorics; Order (exchange); Base (topology); Discrete mathematics; Pure mathematics; Mathematical analysis; Mathematical physics; Physics","authors":[{"name":"Zinovy Reichstein","is_ca":true},{"name":"Abhishek Shukla","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01194009228581047,"gpt":0.2778407240373152,"spread":0.2659006317515047,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001061897,0.0006485828,0.0006836666,0.00398552,0.001461891,0.002684407,0.0007389252,0.0004982098,0.00833393],"category_scores_gemma":[0.002112195,0.0004094115,0.0008017328,0.00108931,0.003290961,0.006331048,0.002997559,0.002016135,0.001033417],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001973858,"about_ca_system_score_gemma":0.0007588204,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007438567,"about_ca_topic_score_gemma":0.000586644,"domain_scores_codex":[0.9990605,0.000145079,0.00005623644,0.0001969973,0.0002909502,0.0002503714],"domain_scores_gemma":[0.9976841,0.0006077403,0.0002939869,0.0002382618,0.0003625405,0.0008134015],"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":[0.00007317085,0.00003455816,0.0004539382,0.00003490571,0.00000791535,0.00008452304,0.0002568522,0.0003820645,0.001020948,0.9935761,0.0007358923,0.003339157],"study_design_scores_gemma":[0.00003124602,0.00004347188,0.001154671,0.00002199825,0.00001096111,0.0001404985,0.00009794568,0.002572939,0.0009711041,0.990498,0.004436236,0.00002087497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.784198,0.0008805146,0.06853622,0.001472477,0.0002741466,0.00006424163,0.0009233071,0.0003664863,0.1432846],"genre_scores_gemma":[0.9755576,0.0003799273,0.007434486,0.0001759475,0.0002999872,0.00004261439,0.0004957714,0.00008856608,0.015525],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00833393,"threshold_uncertainty_score":0.02787971,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2896483500","doi":"10.2140/ant.2022.16.2005","title":"Serre weight conjectures for p-adic unitarygroups of rank 2","year":2022,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Association Neurofibromatoses et Recklinghause; Université de Montpellier; University of Toronto; Agence Nationale de la Recherche; National Science Foundation","keywords":"Mathematics; Galois module; Automorphic form; Rank (graph theory); Conjecture; Base change; Base (topology); Unitary state; Combinatorics; Group (periodic table); Unitary group; Field (mathematics); Pure mathematics; Mathematical analysis; Physics","authors":[{"name":"Karol Kozioł","is_ca":false},{"name":"Stefano Morra","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01858993329443518,"gpt":0.2956513499192527,"spread":0.2770614166248175,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001356254,0.0009910983,0.0007646176,0.002004228,0.001801551,0.002556826,0.0007573095,0.001089061,0.005072691],"category_scores_gemma":[0.004187908,0.0004090764,0.0009717484,0.001159145,0.003184,0.004941025,0.002719538,0.001804399,0.0006467285],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009659601,"about_ca_system_score_gemma":0.0003490297,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007281316,"about_ca_topic_score_gemma":0.000584498,"domain_scores_codex":[0.9990944,0.000139979,0.00003684263,0.0001522479,0.0003090249,0.000267537],"domain_scores_gemma":[0.99843,0.000618767,0.0002598859,0.0002457352,0.0001760516,0.0002695699],"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":[0.0000720285,0.00003706197,0.00148827,0.00003138558,0.00001119045,0.0001446606,0.0003812647,0.001964489,0.001458603,0.9877201,0.000960928,0.005730048],"study_design_scores_gemma":[0.00002655571,0.00005618917,0.001006542,0.00001823694,0.00001173767,0.0001436314,0.0001590082,0.01025904,0.001404146,0.9845815,0.002312846,0.00002058525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8982994,0.0004379809,0.05311941,0.0009423374,0.0001803801,0.00003416417,0.0001531585,0.0001875911,0.04664566],"genre_scores_gemma":[0.9902583,0.0001872521,0.003548563,0.0001557976,0.0002469843,0.00003233173,0.0001509491,0.00003023831,0.005389555],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005072691,"threshold_uncertainty_score":0.0169698,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4377197553","doi":"10.2140/ant.2025.19.551","title":"Algebraic cycles and functorial lifts from G2 toPGSp6","year":2025,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; European Commission","keywords":"Mathematics; Algebraic number; Algebra over a field; Pure mathematics; Mathematical analysis","authors":[{"name":"Antonio Cauchi","is_ca":false},{"name":"Francesco Lemma","is_ca":false},{"name":"Joaquín Rodrigues Jacinto","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01295881793478318,"gpt":0.3027437098406687,"spread":0.2897848919058856,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003565503,0.0008240262,0.0005607377,0.002490418,0.002610268,0.003418541,0.0008115418,0.00072394,0.0251098],"category_scores_gemma":[0.0009909228,0.000422582,0.001003192,0.001774836,0.001768244,0.003165976,0.004503461,0.003196595,0.004751525],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001231602,"about_ca_system_score_gemma":0.0007097168,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001993372,"about_ca_topic_score_gemma":0.001563415,"domain_scores_codex":[0.9994209,0.00007166227,0.00002316985,0.000111573,0.000208662,0.000164197],"domain_scores_gemma":[0.9995838,0.00006232077,0.00003103771,0.00006028016,0.0001226773,0.0001399341],"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":[0.00004100615,0.00001865099,0.0001570503,0.00003835902,0.000006955389,0.0001818694,0.0003780311,0.0003059678,0.001064299,0.9817185,0.005448039,0.01064123],"study_design_scores_gemma":[0.00001539332,0.00002098267,0.0004089088,0.00002005085,0.00001037881,0.0002686312,0.000227779,0.001087814,0.001434132,0.9425052,0.0539795,0.00002121058],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3160369,0.0009425643,0.1099847,0.003413542,0.002448266,0.000199658,0.001868419,0.002294323,0.5628117],"genre_scores_gemma":[0.7879092,0.0007966923,0.02477948,0.0009053702,0.0009250523,0.0001231657,0.002433614,0.001391706,0.1807356],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0251098,"threshold_uncertainty_score":0.08400065,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2097575838","doi":"10.2140/ant.2017.11.767","title":"Cup products of line bundles on homogeneous varieties and generalized PRV components of multiplicity one","year":2017,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number 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":"Queen's University","funders":"","keywords":"Multiplicity (mathematics); Tensor product; Homogeneous; Boundary (topology); Flag (linear algebra); Product (mathematics); Line (geometry)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.05533110563480885,"gpt":0.2987017243447706,"spread":0.2433706187099617,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000686486,0.001116873,0.0007173752,0.004216619,0.002122026,0.004165603,0.0009173471,0.0005561276,0.01153919],"category_scores_gemma":[0.001343635,0.0006141707,0.000981301,0.002305971,0.003152903,0.004973507,0.00292186,0.001707758,0.00194152],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001574024,"about_ca_system_score_gemma":0.000554596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001390674,"about_ca_topic_score_gemma":0.0008227627,"domain_scores_codex":[0.9990398,0.0001870539,0.00004576537,0.0001905633,0.0002397477,0.0002970905],"domain_scores_gemma":[0.9989681,0.0001702305,0.0001709376,0.0001090074,0.0002548517,0.0003269498],"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":[0.00002526435,0.00001221956,0.0001968583,0.00002983097,0.000008005668,0.0001819005,0.0003506422,0.0002285771,0.0004644058,0.9927276,0.001425938,0.004348732],"study_design_scores_gemma":[0.00002845295,0.00006052645,0.001484056,0.00003404532,0.00002902612,0.0005490634,0.0005341124,0.002880984,0.001487354,0.973527,0.01933802,0.00004732773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5888848,0.00169578,0.1093517,0.001967609,0.0007676191,0.0001427074,0.0008422739,0.001411559,0.2949359],"genre_scores_gemma":[0.9307644,0.0007016848,0.01197037,0.0003087638,0.0004492181,0.00008434551,0.0005206468,0.000287732,0.05491281],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01153919,"threshold_uncertainty_score":0.03860241,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3014980510","doi":"10.2140/ant.2023.17.93","title":"Constructions of difference sets in nonabelian 2-groups","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"MetaOptima Technology (Canada); Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Constructive; Product (mathematics); Set (abstract data type); Group (periodic table); Order (exchange); Class (philosophy); Algebra over a field; Algebraic number; Pure mathematics; Discrete mathematics; Geometry; Mathematical analysis; Computer science","authors":[{"name":"Taylor Applebaum","is_ca":false},{"name":"John Clikeman","is_ca":false},{"name":"James A. Davis","is_ca":false},{"name":"J. F. Dillon","is_ca":false},{"name":"Jonathan Jedwab","is_ca":true},{"name":"T. Rabbani","is_ca":false},{"name":"K. Smith","is_ca":false},{"name":"William Yolland","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007387366079784991,"gpt":0.213338575503533,"spread":0.205951209423748,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001187229,0.0002929011,0.0004096785,0.001320495,0.001705533,0.001950104,0.0008352789,0.0005320535,0.002987803],"category_scores_gemma":[0.001906017,0.0003351475,0.0007557451,0.0009513153,0.003061244,0.003820928,0.002593816,0.001503124,0.0004005861],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009973504,"about_ca_system_score_gemma":0.0004007434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001799436,"about_ca_topic_score_gemma":0.000258912,"domain_scores_codex":[0.998825,0.0003055958,0.00007644727,0.0002376426,0.000371334,0.0001838722],"domain_scores_gemma":[0.9982399,0.0008276988,0.0002080704,0.0004205981,0.0001722739,0.0001315388],"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":[0.00002540771,0.00001071508,0.000500446,0.00002137941,0.000003506962,0.00005080363,0.0004955434,0.0005368584,0.001685399,0.9905823,0.0001859296,0.005901693],"study_design_scores_gemma":[0.00001834933,0.00005043908,0.0006981589,0.00001721772,0.000008131819,0.0002605201,0.0003223399,0.004030493,0.006152755,0.9750172,0.01340338,0.0000210271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6273712,0.0007052102,0.317793,0.0008623478,0.0002287947,0.00006461068,0.0001904213,0.0002134851,0.05257093],"genre_scores_gemma":[0.9142113,0.0002067497,0.07781649,0.0001491732,0.0000696811,0.00008415002,0.0002098586,0.00004604295,0.007206699],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002987803,"threshold_uncertainty_score":0.009995222,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4414258789","doi":"10.2140/ant.2025.19.2163","title":"Geometry of PCF parameters in spaces of quadratic polynomials","year":2025,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","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":"Quadratic equation; Algebra over a field; Quadratic function; Difference polynomials; Connection (principal bundle)","authors":[{"name":"Laura DeMarco","is_ca":false},{"name":"Niki Myrto Mavraki","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01845921413658844,"gpt":0.2991613124506696,"spread":0.2807020983140812,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00113409,0.001073326,0.000982995,0.003934327,0.002714782,0.006058001,0.001875743,0.001470291,0.01060557],"category_scores_gemma":[0.002926107,0.0006600812,0.0006991483,0.002190493,0.004879297,0.007622829,0.003324647,0.003583226,0.001258159],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002933554,"about_ca_system_score_gemma":0.000874489,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002751276,"about_ca_topic_score_gemma":0.001331331,"domain_scores_codex":[0.9984925,0.0003209223,0.00005722092,0.000338501,0.0004440861,0.0003467202],"domain_scores_gemma":[0.9984212,0.0004373387,0.0003032448,0.0001422326,0.0002874346,0.0004085079],"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":[0.00003537522,0.00001065738,0.0001514299,0.0000139863,0.000003563943,0.00005098596,0.0001712202,0.000545749,0.000251356,0.9966683,0.0003651542,0.001732273],"study_design_scores_gemma":[0.0000261733,0.00002873314,0.0004403534,0.00001004893,0.000006343708,0.0001699997,0.000193963,0.002618246,0.0004416585,0.9933154,0.002729899,0.00001912726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.699456,0.001291485,0.1187289,0.003178778,0.0004612789,0.0001339242,0.001072188,0.0004080327,0.1752695],"genre_scores_gemma":[0.9782529,0.0003203483,0.007170571,0.0001692269,0.0003048598,0.00004115306,0.000340226,0.00009740226,0.01330329],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01060557,"threshold_uncertainty_score":0.03547919,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3213791698","doi":"10.2140/ant.2024.18.1619","title":"Prime values of f(a,b2) and f(a,p2), fquadratic","year":2024,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Analytic Number Theory Research","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 Northern British Columbia","funders":"","keywords":"Mathematics; Prime (order theory); Integer (computer science); Binary quadratic form; Quadratic equation; Combinatorics; Quadratic form (statistics); Asymptotic formula; Prime number; Binary number; Quadratic field; Pure mathematics; Quadratic function; Arithmetic; Geometry","authors":[{"name":"Stanley Yao Xiao","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03120039857459914,"gpt":0.3472215084384921,"spread":0.3160211098638929,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001075711,0.0006963139,0.0004864606,0.001578314,0.002019635,0.002649587,0.0008190774,0.000815185,0.02185884],"category_scores_gemma":[0.004745258,0.0002911413,0.0003995369,0.001405874,0.002994856,0.004174463,0.001849156,0.002706017,0.003283137],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002538446,"about_ca_system_score_gemma":0.0005381705,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001867484,"about_ca_topic_score_gemma":0.001570315,"domain_scores_codex":[0.9991725,0.0001860335,0.00002844924,0.000206816,0.0002517823,0.0001543081],"domain_scores_gemma":[0.9986357,0.0005231083,0.0001437602,0.0001737578,0.0003836531,0.0001398766],"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":[0.0001047122,0.00001931255,0.0007947459,0.00006010863,0.000006815725,0.000230587,0.0002825836,0.0004931171,0.001340465,0.9638091,0.01112906,0.02172935],"study_design_scores_gemma":[0.00001919824,0.00004514257,0.001661692,0.00004795957,0.00001085963,0.0007134505,0.0001573656,0.003565734,0.002501995,0.9363863,0.05486566,0.00002470174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2536375,0.008307922,0.1469922,0.01146424,0.003472752,0.00006962266,0.0007175176,0.001130517,0.5742077],"genre_scores_gemma":[0.9100725,0.0008773922,0.01959489,0.0008216794,0.00118347,0.00006358814,0.0003037407,0.0002080857,0.06687467],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02185884,"threshold_uncertainty_score":0.07312512,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4411230004","doi":"10.2140/ant.2025.19.1427","title":"Mean values of long Dirichlet polynomials with divisor coefficients","year":2025,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Analytic Number Theory Research","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 Lethbridge; University of Northern British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; University of Northern British Columbia","keywords":"Mathematics; Dirichlet series; Dirichlet distribution; Divisor function; Divisor (algebraic geometry); Pure mathematics; Dirichlet L-function; Algebra over a field; Mathematical analysis","authors":[{"name":"Fatma Çi̇çek","is_ca":true},{"name":"Alia Hamieh","is_ca":true},{"name":"Nathan Ng","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02302816383851993,"gpt":0.3305789204259336,"spread":0.3075507565874137,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003718752,0.0009265852,0.001349603,0.004091315,0.001932662,0.004345395,0.002498317,0.001468975,0.006830534],"category_scores_gemma":[0.02358653,0.0008005622,0.0007571558,0.002241634,0.006177672,0.008597093,0.003022317,0.003299346,0.0008607453],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002154599,"about_ca_system_score_gemma":0.001009968,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004482184,"about_ca_topic_score_gemma":0.0004915323,"domain_scores_codex":[0.9985318,0.000472134,0.00004957872,0.0002701744,0.0003433352,0.0003328877],"domain_scores_gemma":[0.9833619,0.009805889,0.001699319,0.001177611,0.001528374,0.002426951],"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":[0.00006701043,0.00002425159,0.0005156684,0.00004818844,0.00001377299,0.00004677507,0.0001683738,0.001541904,0.001005354,0.9923441,0.0006279293,0.003596795],"study_design_scores_gemma":[0.00001138871,0.00001680862,0.0006911542,0.00002417631,0.000009036749,0.0001229939,0.00007206529,0.01104085,0.0006976998,0.9865954,0.0006862705,0.00003218419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.697068,0.00217096,0.2479714,0.002664728,0.0005243433,0.00004238176,0.0003365149,0.0005744233,0.04864722],"genre_scores_gemma":[0.9767675,0.000717773,0.01382036,0.0002086369,0.0006360224,0.00006035304,0.000177854,0.0001666134,0.007444917],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006830534,"threshold_uncertainty_score":0.02285045,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4387300268","doi":"10.2140/ant.2023.17.1925","title":"The behavior of essential dimension under specialization, II","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","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 British Columbia","funders":"Institut des Hautes Études Scientifiques, Université Paris-Saclay; Université Paris-Saclay; University of British Columbia","keywords":"Mathematics; Dimension (graph theory); Pure mathematics","authors":[{"name":"Zinovy Reichstein","is_ca":true},{"name":"Federico Scavia","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02074051706342938,"gpt":0.2984498352482611,"spread":0.2777093181848317,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001145979,0.000261432,0.0005260981,0.00169156,0.001406544,0.002911482,0.0006634159,0.0005684019,0.006610181],"category_scores_gemma":[0.01067288,0.0002726361,0.0005746331,0.0009201531,0.00322865,0.004409705,0.001684118,0.001494351,0.0003148159],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001542245,"about_ca_system_score_gemma":0.0007601974,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001441857,"about_ca_topic_score_gemma":0.001028316,"domain_scores_codex":[0.9995608,0.0001068296,0.00001467078,0.00008645823,0.00008256333,0.0001486425],"domain_scores_gemma":[0.9931946,0.003439617,0.0008301461,0.0007527462,0.000528754,0.001254148],"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":[0.0001852454,0.00005470749,0.0055042,0.00008367839,0.00001628945,0.0001488273,0.0007559341,0.002731417,0.005150765,0.974586,0.002700357,0.008082633],"study_design_scores_gemma":[0.00003923026,0.00007437287,0.01683013,0.00005126007,0.00002030803,0.0005420324,0.0006840673,0.02409274,0.003383726,0.9517209,0.002526073,0.00003512609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9360051,0.0005774982,0.01478056,0.00169348,0.00006368029,0.00001350175,0.0002382785,0.0002174314,0.04641044],"genre_scores_gemma":[0.9956009,0.0001996662,0.001211001,0.00008203722,0.00007053184,0.00001037275,0.00008656192,0.00004018503,0.002698692],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006610181,"threshold_uncertainty_score":0.02211326,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4360838580","doi":"10.2140/ant.2023.17.435","title":"Geometric properties of the Kazhdan–LusztigSchubert basis","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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 Ottawa; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Pure mathematics; Basis (linear algebra); Schubert variety; Algebra over a field; Geometry","authors":[{"name":"Cristian Lenart","is_ca":false},{"name":"Changjian Su","is_ca":true},{"name":"Kirill Zainoulline","is_ca":true},{"name":"Changlong Zhong","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03575369993653272,"gpt":0.2796007355780785,"spread":0.2438470356415458,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003031274,0.0002775029,0.0003315936,0.002080682,0.00120004,0.001606724,0.0004647076,0.0003666726,0.002623654],"category_scores_gemma":[0.0007384162,0.0001667003,0.0002375352,0.000802011,0.001953288,0.001659735,0.0008626888,0.0008851872,0.0003130232],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000720346,"about_ca_system_score_gemma":0.0002487146,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009535839,"about_ca_topic_score_gemma":0.0006472542,"domain_scores_codex":[0.9997937,0.00003404378,0.000007167802,0.00003963493,0.00005748717,0.00006809117],"domain_scores_gemma":[0.9997649,0.00004675411,0.00005676487,0.00002296925,0.00003422027,0.00007451972],"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":[0.00003498437,0.0000240336,0.002195955,0.0000157984,0.000004424364,0.00006382495,0.0003218133,0.001800543,0.003094329,0.9869193,0.0003608377,0.005164155],"study_design_scores_gemma":[0.00002392073,0.00007563153,0.007346707,0.00002907292,0.00001533307,0.000337178,0.0006491501,0.02569977,0.006515088,0.9547548,0.004506405,0.00004701948],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9674082,0.0001707856,0.01410266,0.0001852363,0.00001852949,0.00001336206,0.00005951486,0.00004126241,0.01800051],"genre_scores_gemma":[0.9964461,0.0000680739,0.001583032,0.00001374132,0.00001946322,0.000009760966,0.00004972074,0.00001019478,0.001799944],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002623654,"threshold_uncertainty_score":0.008776963,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4403525653","doi":"10.2140/ant.2024.18.2091","title":"The distribution of large quadratic character sums and applications","year":2024,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Character (mathematics); Distribution (mathematics); Quadratic equation; Pure mathematics; Mathematical analysis; Geometry","authors":[{"name":"Youness Lamzouri","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01874869182008347,"gpt":0.334681785991121,"spread":0.3159330941710375,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004178236,0.0009640032,0.001770655,0.005293528,0.001809163,0.005243804,0.002641489,0.001833611,0.01045857],"category_scores_gemma":[0.03859219,0.001063107,0.0006697187,0.004051237,0.00693141,0.008342604,0.004564055,0.003254215,0.001082868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001677008,"about_ca_system_score_gemma":0.0007518947,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006128288,"about_ca_topic_score_gemma":0.0003518652,"domain_scores_codex":[0.9983252,0.0007150929,0.00005291123,0.0003069508,0.0003691565,0.0002306505],"domain_scores_gemma":[0.966084,0.02468435,0.002331493,0.001954127,0.00200405,0.002941964],"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":[0.0001046159,0.00005672511,0.001865857,0.0001168783,0.00001724352,0.0001065059,0.0002886885,0.006788414,0.0009777199,0.9790198,0.002531751,0.008125637],"study_design_scores_gemma":[0.00003401566,0.00003344732,0.002375413,0.00004991274,0.00001622933,0.0003758286,0.0001712959,0.05732428,0.0005625727,0.9368768,0.002134348,0.00004587648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7406129,0.006135365,0.1869557,0.009795673,0.000520085,0.00006756339,0.0005879054,0.0009110279,0.05441387],"genre_scores_gemma":[0.9825038,0.002052702,0.004409846,0.0003062398,0.00169882,0.00007564433,0.0002989872,0.0001733657,0.008480428],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01045857,"threshold_uncertainty_score":0.03498739,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4287667689","doi":"10.2140/ant.2023.17.169","title":"Geometric properties of the Kazhdan–LusztigSchubert basis","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Combinatorial Mathematics","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 Ottawa; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Pure mathematics; Basis (linear algebra); Schubert variety; Cohomology; Schubert calculus; Conjecture; Equivariant map; Intersection homology; Algebra over a field; Geometry; Grassmannian","authors":[{"name":"Cristian Lenart","is_ca":false},{"name":"Changjian Su","is_ca":true},{"name":"Kirill Zainoulline","is_ca":true},{"name":"Changlong Zhong","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04166403354679334,"gpt":0.2829996645521681,"spread":0.2413356310053748,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000292661,0.0002763109,0.0003270582,0.002018616,0.001162464,0.001564837,0.0004696986,0.0003640351,0.002667907],"category_scores_gemma":[0.000717122,0.0001628629,0.0002354308,0.0007827877,0.001886297,0.001608012,0.0008452152,0.0008859619,0.0003204339],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007171623,"about_ca_system_score_gemma":0.0002507781,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009445745,"about_ca_topic_score_gemma":0.000648292,"domain_scores_codex":[0.9997965,0.00003353609,0.000007074309,0.00003895801,0.00005776017,0.00006622318],"domain_scores_gemma":[0.9997711,0.00004579171,0.00005448084,0.00002197712,0.00003351848,0.00007326397],"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":[0.00003285814,0.0000234092,0.002064964,0.00001533103,0.000004258334,0.00006284195,0.0003033104,0.001743681,0.003009608,0.9871938,0.0003565473,0.005189388],"study_design_scores_gemma":[0.00002282021,0.00007325863,0.007120153,0.00002893165,0.00001464312,0.0003464335,0.0006297821,0.02532227,0.006374623,0.955462,0.004559608,0.00004545372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9666976,0.0001741071,0.01399773,0.0001840494,0.00001922664,0.00001353555,0.00006051238,0.0000402238,0.01881305],"genre_scores_gemma":[0.9962459,0.00007090994,0.001647657,0.00001413195,0.00001997602,0.00001002247,0.00005234518,0.000010437,0.001928636],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002667907,"threshold_uncertainty_score":0.008925021,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4360838541","doi":"10.2140/ant.2023.17.359","title":"Constructions of difference sets in nonabelian 2-groups","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"MetaOptima Technology (Canada); Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Algebra over a field","authors":[{"name":"Taylor Applebaum","is_ca":false},{"name":"John Clikeman","is_ca":false},{"name":"James A. Davis","is_ca":false},{"name":"J. F. Dillon","is_ca":false},{"name":"Jonathan Jedwab","is_ca":true},{"name":"T. Rabbani","is_ca":false},{"name":"K. Smith","is_ca":false},{"name":"William Yolland","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007387366079784991,"gpt":0.213338575503533,"spread":0.205951209423748,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015184,0.0008289646,0.0011358,0.002393948,0.003333963,0.00342241,0.001686407,0.001403901,0.01149012],"category_scores_gemma":[0.001901944,0.0008148956,0.00130985,0.001934612,0.004078173,0.005621625,0.003278101,0.005154275,0.00134003],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002178689,"about_ca_system_score_gemma":0.0005480457,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003327952,"about_ca_topic_score_gemma":0.0004720364,"domain_scores_codex":[0.9990163,0.0003603933,0.00005678916,0.0001874526,0.0002557918,0.0001232113],"domain_scores_gemma":[0.998806,0.0007062046,0.00006843977,0.0001293386,0.0001195499,0.000170505],"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":[0.00001190384,0.0000131823,0.00005248303,0.00002862054,0.000003434211,0.0000291682,0.0002578333,0.0002658416,0.0006655046,0.9955979,0.0009319333,0.002142231],"study_design_scores_gemma":[0.00001141938,0.0000143593,0.00009911076,0.00001394567,0.000004094556,0.00007455888,0.00006828297,0.00150883,0.0008313789,0.9911929,0.006166053,0.0000150588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3230257,0.00322992,0.4484575,0.009678323,0.008278329,0.0001606354,0.0006430871,0.0006946728,0.2058318],"genre_scores_gemma":[0.8516875,0.001046616,0.09617539,0.001478018,0.001559206,0.0001425822,0.000529894,0.0004659055,0.04691499],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01149012,"threshold_uncertainty_score":0.03843832,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2130673349","doi":"10.2140/ant.2013.7.431","title":"Maximal ideals and representations of twisted forms of algebras","year":2013,"lang":"en","type":"preprint","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","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 Alberta; Université Laval","funders":"","keywords":"Bijection; Mathematics; Simple (philosophy); Base (topology); Pure mathematics; Extension (predicate logic); Algebra over a field; Lie algebra; Ideal (ethics); Maximal ideal; Combinatorics; Computer science; Mathematical analysis","authors":[{"name":"Michael Lau","is_ca":true},{"name":"Arturo Pianzola","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02586689856282175,"gpt":0.3079642851433528,"spread":0.282097386580531,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001057057,0.0006781746,0.0005560378,0.002632791,0.001380826,0.003871602,0.000882139,0.0005740922,0.003722027],"category_scores_gemma":[0.002355006,0.00050461,0.0008547634,0.001040832,0.004769142,0.005812758,0.002763337,0.001658832,0.0007937949],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001050534,"about_ca_system_score_gemma":0.0004475317,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003714026,"about_ca_topic_score_gemma":0.0002819233,"domain_scores_codex":[0.998804,0.000251394,0.00008875737,0.0002018875,0.0003446483,0.000309311],"domain_scores_gemma":[0.9984976,0.0003063119,0.0003339061,0.0001343986,0.000203549,0.000524286],"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":[0.00003681299,0.00002056212,0.0004950955,0.00002380239,0.000006341571,0.0001185787,0.0006671611,0.0004719612,0.002087186,0.9928284,0.0002429841,0.003001004],"study_design_scores_gemma":[0.00001880793,0.00004665279,0.000574124,0.00002159992,0.000008204191,0.0003174284,0.0003080215,0.003386822,0.002319607,0.9900738,0.002905948,0.00001907661],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8439182,0.001349849,0.08767342,0.0006696857,0.0001905342,0.00007868807,0.0002207788,0.0002574714,0.06564131],"genre_scores_gemma":[0.9862046,0.0003589308,0.007409966,0.00006190496,0.0002547189,0.00003716397,0.000146475,0.00003796913,0.005488162],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003871602,"threshold_uncertainty_score":0.01245147,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4408781262","doi":"10.2140/ant.2025.19.763","title":"On the D-module of an isolated singularity","year":2025,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Singularity; Algebra over a field; Pure mathematics; Arithmetic; Mathematical analysis","authors":[{"name":"Thomas Bitoun","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01723015647874158,"gpt":0.2833083989342966,"spread":0.266078242455555,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084567,0.0009596513,0.0007451099,0.002860402,0.001695128,0.002296125,0.0009360054,0.000899695,0.005436643],"category_scores_gemma":[0.001232011,0.0003445751,0.0006459031,0.001228462,0.003827446,0.003507958,0.002698177,0.001682723,0.0009224486],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00132035,"about_ca_system_score_gemma":0.0006025488,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000840963,"about_ca_topic_score_gemma":0.0005615454,"domain_scores_codex":[0.999586,0.0001169928,0.00002003455,0.00008369441,0.0001049978,0.00008826851],"domain_scores_gemma":[0.9993457,0.0001571343,0.0001027139,0.00004173272,0.0001146551,0.0002380912],"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":[0.00003720569,0.00002253574,0.0001886888,0.00003880652,0.000008964731,0.0002350678,0.0002774066,0.0004895974,0.001363632,0.9927718,0.000755545,0.003810778],"study_design_scores_gemma":[0.0000218655,0.00004855831,0.000430908,0.000019443,0.00001091253,0.0002957582,0.000134606,0.002666451,0.0007314236,0.9922518,0.003368409,0.00001993034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6456473,0.003605057,0.08590525,0.003646474,0.001144727,0.00007832951,0.0003454449,0.0002408874,0.2593865],"genre_scores_gemma":[0.961822,0.001029946,0.009299938,0.0004684289,0.0006353389,0.00002566193,0.0001277782,0.00005074394,0.02654018],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005436643,"threshold_uncertainty_score":0.01818734,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1508279448","doi":"10.2140/ant.2016.10.597","title":"Regularized theta lifts and (1,1)-currents on GSpin Shimura varieties","year":2016,"lang":"en","type":"article","venue":"Algebra & Number Theory","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":"University of Toronto","funders":"","keywords":"Lift (data mining); Shimura variety; Quadratic equation; Vector space; Algebra over a field; Space (punctuation)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.0238695453257998,"gpt":0.3014186835111696,"spread":0.2775491381853697,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004105657,0.0005809679,0.0004493763,0.002106201,0.0009887816,0.001691898,0.0005032377,0.0005366875,0.003648019],"category_scores_gemma":[0.0006200641,0.000255164,0.000642582,0.0005738296,0.002313584,0.002441486,0.001886745,0.001717775,0.0005648534],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006336497,"about_ca_system_score_gemma":0.0002926214,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004082266,"about_ca_topic_score_gemma":0.0003377968,"domain_scores_codex":[0.9997858,0.00003254095,0.00001081908,0.00003939555,0.00006648935,0.00006482925],"domain_scores_gemma":[0.9997841,0.00001923861,0.00003581448,0.00002411736,0.00003624857,0.0001006518],"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":[0.00008778322,0.00005290581,0.001035187,0.00004018902,0.00001152133,0.0005416857,0.0008419871,0.002040015,0.008082259,0.9784079,0.0004795593,0.008379003],"study_design_scores_gemma":[0.00006079724,0.0001793067,0.002173858,0.00003773788,0.00002333288,0.001003956,0.0008370674,0.01220575,0.004309594,0.9731852,0.005925728,0.0000576846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.954413,0.0003263633,0.02433746,0.0003834933,0.0002244853,0.00003687265,0.00007311041,0.0001795317,0.02002569],"genre_scores_gemma":[0.984162,0.0002895555,0.006277967,0.00008704285,0.000235519,0.00002972185,0.00009325697,0.00005812976,0.008766812],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003648019,"threshold_uncertainty_score":0.01220381,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3161316088","doi":"10.2140/ant.2023.17.2181","title":"Limit multiplicity for unitary groups and the stable trace formula","year":2023,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Unitary state; Pure mathematics; TRACE (psycholinguistics); Limit (mathematics); Cohomology; Direct limit; Multiplicity (mathematics); Unitary group; Classical group; Algebra over a field; Arithmetic; Mathematical analysis; Lie group; Linguistics","authors":[{"name":"Mathilde Gerbelli-Gauthier","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02889486550885516,"gpt":0.3038398422320153,"spread":0.2749449767231601,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00162192,0.000646555,0.000626014,0.003459999,0.002021365,0.002742014,0.001445207,0.001007392,0.006978885],"category_scores_gemma":[0.008888915,0.0003955869,0.0008089615,0.0009922803,0.003948937,0.006050857,0.002992724,0.002247431,0.0007031052],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001419461,"about_ca_system_score_gemma":0.0004020191,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003870104,"about_ca_topic_score_gemma":0.0003442775,"domain_scores_codex":[0.9989392,0.000187414,0.00005626335,0.0002056688,0.0003397146,0.0002717864],"domain_scores_gemma":[0.9958375,0.001824765,0.0005089434,0.0005037798,0.0004661423,0.0008589153],"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":[0.00007499415,0.00003497981,0.002166567,0.0000475753,0.0000108278,0.0002516354,0.0004926629,0.002249467,0.00411127,0.9819224,0.0005058825,0.008131715],"study_design_scores_gemma":[0.00001365763,0.00006096171,0.0009137506,0.00003791236,0.00001852742,0.0003208579,0.0001604801,0.03252626,0.006935241,0.9571647,0.001818767,0.00002891982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8035497,0.001357372,0.1428227,0.001109964,0.0001672502,0.00004078884,0.0001151332,0.0004197277,0.05041736],"genre_scores_gemma":[0.9886624,0.0002248884,0.006528847,0.0000501174,0.0001085844,0.00003671079,0.00005347653,0.00004417087,0.004290752],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006978885,"threshold_uncertainty_score":0.02334672,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3021231285","doi":"10.2140/ant.2021.15.1699","title":"Rational dynamical systems, S-units, andD-finite power series","year":2021,"lang":"en","type":"preprint","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number 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 Toronto; University of Waterloo","funders":"","keywords":"Multiplicative function; Algebraically closed field; Mathematics; Combinatorics; Power series; Torus; Finite field; Zero (linguistics); Series (stratigraphy); Algebraic number; Field (mathematics); Orbit (dynamics); Formal power series; Discrete mathematics; Pure mathematics; Mathematical analysis; Geometry","authors":[{"name":"Jason P. Bell","is_ca":true},{"name":"Shaoshi Chen","is_ca":false},{"name":"Ehsaan Hossain","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02532128161717646,"gpt":0.2761320551929094,"spread":0.2508107735757329,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004298638,0.0005073997,0.0004763235,0.001588175,0.001471487,0.001825236,0.0006472344,0.000481314,0.005155029],"category_scores_gemma":[0.001084801,0.0002095951,0.0005715559,0.0008994661,0.003041722,0.002291693,0.00169487,0.0009509478,0.0005204346],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002464718,"about_ca_system_score_gemma":0.0004482137,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00167532,"about_ca_topic_score_gemma":0.001220977,"domain_scores_codex":[0.9995849,0.00007892839,0.00002138868,0.00008835869,0.0001268365,0.0000997993],"domain_scores_gemma":[0.9995726,0.0001012558,0.00008456846,0.00006453638,0.00006824322,0.0001087523],"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":[0.000007811447,0.000006844806,0.0002107759,0.00001128851,0.000002003761,0.00004454308,0.0001072666,0.0009190714,0.0002892279,0.9965526,0.0002522003,0.001596384],"study_design_scores_gemma":[0.00001286572,0.00001585352,0.0002924115,0.00001014442,0.000002727712,0.00009017647,0.0001296899,0.01027891,0.000368431,0.9840193,0.004770763,0.000008738281],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.758236,0.004458499,0.09837646,0.002406317,0.0002882092,0.00007621354,0.000471447,0.0002879785,0.1353989],"genre_scores_gemma":[0.9744435,0.0008822394,0.01040723,0.0001049725,0.0001215235,0.0000624178,0.0002193035,0.00002864926,0.01373017],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005155029,"threshold_uncertainty_score":0.01788282,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}