{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":28,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":28,"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":"263c74c3f9c5","filters":{"venue":"Memoirs of the American Mathematical Society"}},"results":[{"id":"W2077319192","doi":"10.1090/s0065-9266-10-00595-8","title":"Banach algebras on semigroups and on their compactifications","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":165,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Dual polyhedron; Semigroup; Pure mathematics; Banach algebra; Algebra over a field; Banach space","authors":[{"name":"H. G. Dales","is_ca":false},{"name":"Anthony Lau","is_ca":true},{"name":"D. Strauss","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03327259102717314,"gpt":0.335920668613517,"spread":0.3026480775863439,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001849902,0.0009656934,0.0005824643,0.001724059,0.001266811,0.003503072,0.0008159917,0.0008349192,0.0108447],"category_scores_gemma":[0.004155784,0.0005318581,0.001151885,0.001119183,0.003322118,0.006706153,0.002701991,0.002504684,0.002539776],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001276408,"about_ca_system_score_gemma":0.0006005836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008653212,"about_ca_topic_score_gemma":0.0005325521,"domain_scores_codex":[0.9982566,0.0006631791,0.0001446156,0.0003535566,0.0004005682,0.0001815411],"domain_scores_gemma":[0.9977354,0.0009567558,0.0003223814,0.0002445765,0.0004338513,0.0003070917],"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":[0.00001570431,0.000007496197,0.00004818817,0.00002636669,0.000004667038,0.00004585855,0.0002667463,0.0004387083,0.000422887,0.9951304,0.0007582532,0.002834738],"study_design_scores_gemma":[0.00001072986,0.00002456882,0.000142504,0.00001876082,0.000003895821,0.00006679389,0.000149306,0.00364236,0.0003887459,0.9859607,0.009582052,0.000009673926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1890859,0.007507036,0.4532363,0.005508495,0.001552991,0.0001163104,0.001012919,0.0009398776,0.3410403],"genre_scores_gemma":[0.7983339,0.003201335,0.09637126,0.0009674124,0.001323447,0.0003332532,0.001007297,0.0003871316,0.09807498],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0108447,"threshold_uncertainty_score":0.03627914,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2061283920","doi":"10.1090/memo/1100","title":"Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks","year":2014,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":54,"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":"Mathematics; Conjecture; Von Neumann architecture; Pure mathematics; Discrete mathematics","authors":[{"name":"Joel Friedman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.008589257705905233,"gpt":0.2143452519807301,"spread":0.2057559942748249,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008794842,0.0005811809,0.0004230487,0.001649679,0.0006596703,0.001271301,0.0005259968,0.0006164578,0.01491468],"category_scores_gemma":[0.002618314,0.0003530894,0.000564225,0.001560478,0.001625475,0.003282679,0.001756234,0.002076291,0.002293983],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001680539,"about_ca_system_score_gemma":0.0007470495,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002484405,"about_ca_topic_score_gemma":0.001571024,"domain_scores_codex":[0.9996418,0.00009195141,0.00001809912,0.00006903762,0.0001532216,0.00002582344],"domain_scores_gemma":[0.9994829,0.0002700967,0.00003132081,0.00004005367,0.0001260409,0.00004953336],"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":[0.00002346284,0.00005272371,0.0003820991,0.0002010961,0.00001455641,0.0001239219,0.0004078414,0.001334499,0.001470804,0.9146937,0.04875138,0.03254403],"study_design_scores_gemma":[0.00001268859,0.00002269153,0.001283983,0.0001163812,0.00001206536,0.0001198622,0.0001696242,0.001938036,0.0007520259,0.8698818,0.125665,0.00002579864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1020686,0.06666248,0.1218688,0.05778676,0.01239599,0.0001516398,0.001885497,0.001035177,0.6361451],"genre_scores_gemma":[0.7020942,0.03989943,0.0355505,0.004983887,0.009349447,0.0002804062,0.001919296,0.0006326722,0.2052903],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01491468,"threshold_uncertainty_score":0.04989451,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2140178638","doi":"10.1090/s0065-9266-10-00615-0","title":"Operator algebras for multivariable dynamics","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":46,"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":"Mathematics; Tensor product; Crossed product; Hausdorff space; Operator algebra; Conjugacy class; Tensor product of algebras; Pure mathematics; Algebra over a field; Dilation (metric space); Tensor product of Hilbert spaces; Tensor (intrinsic definition); Boundary (topology); Discrete mathematics; Combinatorics; Mathematical analysis; Tensor contraction","authors":[{"name":"Kenneth R. Davidson","is_ca":true},{"name":"Elias G. Katsoulis","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02210294437508517,"gpt":0.3438940608588391,"spread":0.3217911164837539,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009053076,0.0005627896,0.000470889,0.001272879,0.0009078555,0.001838564,0.0005398816,0.0005498289,0.01785743],"category_scores_gemma":[0.001809084,0.000200081,0.0008933115,0.0008401434,0.001281452,0.003174215,0.001612809,0.0016219,0.002700457],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001389729,"about_ca_system_score_gemma":0.0007237383,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001817889,"about_ca_topic_score_gemma":0.001231646,"domain_scores_codex":[0.9993369,0.0002020443,0.00003361078,0.0001162461,0.0002123333,0.00009889826],"domain_scores_gemma":[0.9994712,0.0001584106,0.00005789219,0.00005587671,0.000183081,0.00007348513],"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":[0.000004781401,0.000004730967,0.00004634065,0.00002984878,0.00000485646,0.0000251107,0.0001065904,0.0006357064,0.0003842771,0.9913055,0.002617974,0.004834297],"study_design_scores_gemma":[0.000005403807,0.000009436756,0.0001527871,0.00001185955,0.000003701179,0.00003923434,0.00007304163,0.005784811,0.0002059362,0.9736689,0.02003673,0.000008273042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04950978,0.007574957,0.5894089,0.006168345,0.0015475,0.0001116068,0.001408016,0.001310223,0.3429607],"genre_scores_gemma":[0.7781609,0.005893713,0.07772154,0.002043094,0.002083393,0.0002978927,0.001546173,0.000456277,0.1317971],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01785743,"threshold_uncertainty_score":0.05973905,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2061521610","doi":"10.1090/s0065-9266-2012-00652-6","title":"Infinite-Dimensional Representations of 2-Groups","year":2012,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Perimeter Institute","funders":"","keywords":"Mathematics; Pure mathematics; Indecomposable module; Group (periodic table); Vector space; Representation theory; Hilbert space; Representation theory of the Lorentz group; Algebra over a field; Group representation; Representation (politics); Representation theory of SU; Lie group; Irreducible representation; Separable space; Fundamental representation; Lie algebra; Mathematical analysis; Weight; Law","authors":[{"name":"John C. Baez","is_ca":false},{"name":"Aristide Baratin","is_ca":false},{"name":"Laurent Freidel","is_ca":true},{"name":"Derek K. Wise","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02716462594907745,"gpt":0.308624504340709,"spread":0.2814598783916316,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009051326,0.0004433184,0.0003122411,0.001477458,0.0009197241,0.002603333,0.0006258473,0.0008904736,0.004582933],"category_scores_gemma":[0.001372614,0.0002358055,0.0006682398,0.00075257,0.002716162,0.004801244,0.001958093,0.001132573,0.0006294361],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009090647,"about_ca_system_score_gemma":0.0004387487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005751695,"about_ca_topic_score_gemma":0.0003564349,"domain_scores_codex":[0.9989538,0.0003227225,0.00005852876,0.0001760174,0.0003315219,0.0001573776],"domain_scores_gemma":[0.9994007,0.0001694276,0.00007710361,0.0001101741,0.0001264167,0.000116144],"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":[0.000003710388,0.000005031197,0.00006658935,0.000008038335,0.000001762986,0.00002687545,0.0002529242,0.0002270634,0.0004545184,0.9970522,0.0003034529,0.001597965],"study_design_scores_gemma":[0.00000333695,0.00001246683,0.0001800447,0.000007028956,0.000001804238,0.00008164395,0.0001238399,0.002171034,0.0002876379,0.9910041,0.006119377,0.000007535993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.498603,0.003246133,0.3156662,0.003335932,0.0005286256,0.00007548306,0.000533885,0.0005639632,0.1774466],"genre_scores_gemma":[0.945792,0.0005325524,0.02994343,0.0004406466,0.0002926537,0.00007681281,0.0002772508,0.0000696658,0.02257507],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004582933,"threshold_uncertainty_score":0.01533145,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1828785978","doi":"10.1090/memo/1233","title":"Covering Dimension of C*-Algebras and 2-Coloured Classification","year":2019,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Engineering and Physical Sciences Research Council; Deutsche Forschungsgemeinschaft; Alexander von Humboldt-Stiftung; National Science Foundation","keywords":"Mathematics; Separable space; Morita equivalence; Unital; Homotopy; Pure mathematics; Homomorphism; Equivalence (formal languages); Isomorphism (crystallography); Unitary state; Simple (philosophy); TRACE (psycholinguistics); Algebra over a field; Mathematical analysis","authors":[{"name":"Joan Bosa","is_ca":false},{"name":"Nathanial P. Brown","is_ca":false},{"name":"Yasuhiko Sato","is_ca":false},{"name":"Aaron Tikuisis","is_ca":true},{"name":"Stuart White","is_ca":false},{"name":"Wilhelm Winter","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04600686234626226,"gpt":0.3462739243929797,"spread":0.3002670620467174,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001372747,0.0005941669,0.0005779634,0.002717078,0.002214439,0.004842945,0.001041822,0.001089305,0.0118875],"category_scores_gemma":[0.002251261,0.0003458152,0.001191288,0.001851295,0.003460242,0.007533681,0.003293473,0.002151459,0.001776182],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002829825,"about_ca_system_score_gemma":0.0009143789,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00321416,"about_ca_topic_score_gemma":0.001565229,"domain_scores_codex":[0.9979546,0.0003909546,0.0001143967,0.0004665312,0.0005305049,0.0005429803],"domain_scores_gemma":[0.99824,0.0005782082,0.0001829968,0.0002832609,0.0003981362,0.0003173949],"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":[0.00001178617,0.000009519366,0.00016418,0.00002251646,0.000004487009,0.00004606618,0.000231288,0.0003131425,0.0003282381,0.9938007,0.0009587713,0.004109291],"study_design_scores_gemma":[0.000007767011,0.00001615071,0.0003857445,0.00001899755,0.000007776663,0.0001111027,0.0001204261,0.002327247,0.0009939757,0.9831342,0.01285185,0.00002483136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.3485363,0.003789098,0.3318462,0.003603281,0.001726764,0.0001254913,0.001462696,0.001736612,0.3071736],"genre_scores_gemma":[0.9408616,0.0007037731,0.02994996,0.0006536805,0.0004381886,0.00008250754,0.0006613751,0.0002396811,0.02640934],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.0118875,"threshold_uncertainty_score":0.03976762,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2005032241","doi":"10.1090/s0065-9266-10-00583-1","title":"Locally toric manifolds and singular Bohr-Sommerfeld leaves","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":34,"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; Bohr model; Pure mathematics; Mathematical analysis; Physics; Quantum mechanics","authors":[{"name":"Mark Hamilton","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01838349538362767,"gpt":0.2718756104846396,"spread":0.2534921151010119,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000643978,0.0003091001,0.0004260241,0.001688363,0.001276435,0.001737186,0.0004361055,0.0006554323,0.002720895],"category_scores_gemma":[0.001479557,0.0001770731,0.0004785486,0.0007383786,0.004537219,0.003988102,0.001641006,0.001050614,0.0001792143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009424817,"about_ca_system_score_gemma":0.0002963733,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008409759,"about_ca_topic_score_gemma":0.0007480932,"domain_scores_codex":[0.9994949,0.0001238187,0.0000291565,0.000083739,0.0001864707,0.00008187535],"domain_scores_gemma":[0.9995267,0.0001298751,0.0001001233,0.00007608459,0.00007784439,0.00008937305],"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":[0.000008770582,0.000005336374,0.0002938408,0.00001579077,0.000003225344,0.00006945393,0.0002411204,0.000772684,0.001439153,0.9955909,0.0001980928,0.001361569],"study_design_scores_gemma":[0.000004725422,0.00001776054,0.001041595,0.00001233161,0.000005582231,0.0001544145,0.0003199347,0.007316172,0.001209715,0.9884632,0.00143928,0.00001525344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8709456,0.0008486077,0.07593785,0.001208146,0.0001229737,0.00002531489,0.00007700814,0.0001330652,0.05070135],"genre_scores_gemma":[0.9891518,0.0002389223,0.006762726,0.00006312905,0.0000753153,0.0000124132,0.00003676239,0.00002304232,0.003635819],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002720895,"threshold_uncertainty_score":0.009102285,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4245310088","doi":"10.1090/s0065-9266-10-00586-7","title":"Structural Ramsey theory of metric spaces and topological dynamics of isometry groups","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Isometry (Riemannian geometry); Metric space; Metric (unit); Ramsey theory; Topological dynamics; Pure mathematics; Dynamics (music); Topology (electrical circuits); Discrete mathematics; Combinatorics; Topological tensor product; Functional analysis; Physics; Business","authors":[{"name":"Lionel Nguyen Van Thé","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01523133485274037,"gpt":0.2939009418174588,"spread":0.2786696069647185,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008558832,0.0003584768,0.0004449891,0.001274724,0.001414021,0.002496686,0.0007645458,0.0009511802,0.003395455],"category_scores_gemma":[0.002005533,0.0002522257,0.0004281425,0.000916377,0.004939522,0.006832161,0.001713622,0.002053256,0.0003194471],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001415699,"about_ca_system_score_gemma":0.0005320366,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006306063,"about_ca_topic_score_gemma":0.0006314634,"domain_scores_codex":[0.9996244,0.0001313136,0.00001452902,0.00006325068,0.0001087108,0.00005781818],"domain_scores_gemma":[0.9988136,0.0004861987,0.0002166079,0.0001564697,0.0001464903,0.0001806662],"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":[0.000004731519,0.000005073745,0.0001054062,0.00001057603,0.000001926465,0.00001701026,0.0002123334,0.0002310733,0.0001813937,0.9980742,0.0002484067,0.0009077723],"study_design_scores_gemma":[0.000004167235,0.00001172746,0.0002366367,0.00000653181,0.000001703114,0.00005393973,0.0001927861,0.001366783,0.0001298994,0.9947754,0.003216505,0.000003817514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5847898,0.01400117,0.1833109,0.01931483,0.0007140105,0.00005983031,0.0003112998,0.0001675502,0.1973307],"genre_scores_gemma":[0.9792047,0.002494696,0.008881897,0.0003648123,0.0003572221,0.00004123527,0.0001152248,0.00001998895,0.008520248],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003395455,"threshold_uncertainty_score":0.01135898,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2604512536","doi":"10.1090/memo/1357","title":"Tunneling estimates and approximate controllability for hypoelliptic equations","year":2022,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":24,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Agence Nationale de la Recherche","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Type (biology); Geology","authors":[{"name":"Camille Laurent","is_ca":false},{"name":"Matthieu Léautaud","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0141605716760772,"gpt":0.2320108850600039,"spread":0.2178503133839267,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001816212,0.0009939446,0.0006605809,0.002081275,0.0006927159,0.001616718,0.001054354,0.0006968726,0.007470929],"category_scores_gemma":[0.005404621,0.0002751319,0.001066068,0.0005416689,0.001979171,0.003578726,0.002072425,0.002505766,0.0006347921],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001473051,"about_ca_system_score_gemma":0.0006464808,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001806032,"about_ca_topic_score_gemma":0.00118801,"domain_scores_codex":[0.9994839,0.0001586185,0.0000230132,0.00007540082,0.0001944193,0.00006456002],"domain_scores_gemma":[0.9985464,0.0007580303,0.0001740361,0.0001402531,0.0002163347,0.0001649902],"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":[0.00001251518,0.000008829139,0.0001702037,0.00005916283,0.000009683134,0.00003861635,0.0001050403,0.005795763,0.001102415,0.98766,0.0007778013,0.00426002],"study_design_scores_gemma":[0.000006511407,0.00002845908,0.0003485651,0.00003385609,0.00001123488,0.00006366454,0.00007199409,0.1299123,0.0008968106,0.8662872,0.002320236,0.00001924606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1780019,0.003096357,0.6870953,0.003104198,0.0005427142,0.00007908809,0.0002900751,0.0007124319,0.1270781],"genre_scores_gemma":[0.9046736,0.002251179,0.04964788,0.000444639,0.000537597,0.0001345419,0.0003337309,0.0004742791,0.0415025],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007470929,"threshold_uncertainty_score":0.02499276,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2169008021","doi":"10.1090/s0065-9266-2010-00612-4","title":"Rearranging Dyson-Schwinger equations","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":24,"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; Mathematical physics","authors":[{"name":"Karen Yeats","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009644584845192608,"gpt":0.2578490302658741,"spread":0.2482044454206815,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009033724,0.001082059,0.0008170319,0.002312238,0.001310776,0.002769593,0.001413081,0.0008405321,0.06943078],"category_scores_gemma":[0.003499572,0.0003974767,0.001391011,0.00112731,0.001272536,0.00406208,0.002181208,0.003254361,0.03174796],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002228888,"about_ca_system_score_gemma":0.001939793,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01006919,"about_ca_topic_score_gemma":0.008885961,"domain_scores_codex":[0.9989097,0.0001872159,0.0001089329,0.0001823357,0.0004816411,0.0001301142],"domain_scores_gemma":[0.9993715,0.0001300706,0.00004094268,0.0001016415,0.0003137273,0.00004219824],"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":[0.00002111015,0.00001937974,0.000231067,0.00007339243,0.00001060663,0.000152942,0.0003118969,0.002593618,0.001988841,0.9485813,0.02322662,0.0227891],"study_design_scores_gemma":[0.00002095982,0.00002599126,0.0004319987,0.00007182715,0.00002118868,0.000252964,0.0002456335,0.01908239,0.003505419,0.7717389,0.2045442,0.00005846293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.02710494,0.001762374,0.3781996,0.007234185,0.006302065,0.0003979413,0.003893424,0.001744874,0.5733605],"genre_scores_gemma":[0.1767723,0.003009391,0.2602961,0.004677933,0.001249909,0.000586506,0.003912649,0.005275303,0.5442199],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.06943078,"threshold_uncertainty_score":0.2322691,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2051204832","doi":"10.1090/s0065-9266-2010-00628-8","title":"On systems of equations over free partially commutative groups","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"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; Commutative property; Pure mathematics","authors":[{"name":"Montserrat Casals‐Ruiz","is_ca":true},{"name":"Ilya Kazachkov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02442533479567697,"gpt":0.3018606467566562,"spread":0.2774353119609792,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001006305,0.0008997349,0.0006601269,0.001396116,0.00126585,0.002314216,0.0008352631,0.000787726,0.007317571],"category_scores_gemma":[0.001270137,0.0003127783,0.001217766,0.001007597,0.001799933,0.00313836,0.001904844,0.001384,0.001569763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001369877,"about_ca_system_score_gemma":0.0005855307,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001625019,"about_ca_topic_score_gemma":0.001534747,"domain_scores_codex":[0.9989524,0.0003184713,0.00007498006,0.0001605921,0.0003220591,0.0001715407],"domain_scores_gemma":[0.9996194,0.0001323162,0.00005193073,0.00004753449,0.0001051392,0.00004366026],"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":[0.000006188721,0.00000418666,0.00005506465,0.00001659399,0.000003799802,0.00003282143,0.0001620881,0.000961437,0.0005677799,0.9956613,0.0003924706,0.002136252],"study_design_scores_gemma":[0.00001307622,0.00001290389,0.00008074172,0.00001187925,0.000006104468,0.00004284902,0.00007178661,0.009202625,0.0006932631,0.9819135,0.007941197,0.00001013938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1850493,0.001393767,0.6524799,0.002158727,0.0005602011,0.000130195,0.0007249272,0.0005991161,0.1569039],"genre_scores_gemma":[0.8151722,0.0009605875,0.1319928,0.0005689236,0.0004893323,0.0002862627,0.0008733551,0.000296109,0.04936031],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007317571,"threshold_uncertainty_score":0.02447975,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1649578155","doi":"10.1090/memo/1184","title":"On operads, bimodules and analytic functors","year":2017,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"Engineering and Physical Sciences Research Council; National Research Council Canada; U.S. Air Force; John Templeton Foundation","keywords":"Functor; Mathematics; Pure mathematics; Algebra over a field","authors":[{"name":"Nicola Gambino","is_ca":false},{"name":"André Joyal","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02722648640022272,"gpt":0.3167799718817704,"spread":0.2895534854815476,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002619433,0.001683401,0.001013452,0.004841158,0.003436364,0.004900276,0.001760569,0.001809343,0.01485396],"category_scores_gemma":[0.003056737,0.0007205713,0.001967975,0.003527432,0.007965412,0.01297022,0.007488331,0.004509546,0.003775851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003166114,"about_ca_system_score_gemma":0.001082197,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003680372,"about_ca_topic_score_gemma":0.002668661,"domain_scores_codex":[0.9980872,0.0005882851,0.0001212597,0.0003150143,0.0004747791,0.0004134747],"domain_scores_gemma":[0.9984427,0.000658842,0.0001373664,0.0002000389,0.0003599887,0.000201062],"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":[0.000004239611,0.000007308504,0.00005610065,0.00002705159,0.000002685481,0.00005961414,0.0002465601,0.0001616492,0.0002539163,0.9958615,0.0009406105,0.002378768],"study_design_scores_gemma":[0.000003599568,0.00001479657,0.0001313394,0.00002603813,0.000006370812,0.000105421,0.0001948483,0.001085108,0.0004860047,0.9686878,0.029244,0.00001463582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.04641939,0.009942641,0.6830775,0.006457866,0.002124863,0.0001145937,0.001029388,0.001204406,0.2496293],"genre_scores_gemma":[0.6294014,0.009699335,0.2293418,0.004401537,0.002506959,0.0005009263,0.00157311,0.00123552,0.1213395],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01485396,"threshold_uncertainty_score":0.04969144,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1538797647","doi":"10.1090/memo/1155","title":"An Inverse Spectral Problem Related to the Geng–Xue Two-Component Peakon Equation","year":2016,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":22,"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","keywords":"Biorthogonal system; Peakon; Inverse; Inverse problem; Generalization; Boundary value problem; Initial value problem; Inverse scattering problem; Type (biology); Cauchy distribution","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03044087295663666,"gpt":0.3012796556303456,"spread":0.270838782673709,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006677395,0.0004483797,0.0005873064,0.0006957302,0.0007141192,0.0009640533,0.0007596717,0.001547659,0.002678767],"category_scores_gemma":[0.00238095,0.0002634914,0.0006173827,0.0004303659,0.001724492,0.001350893,0.001644174,0.001661979,0.0002359065],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005993236,"about_ca_system_score_gemma":0.001045929,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001533941,"about_ca_topic_score_gemma":0.001159921,"domain_scores_codex":[0.9998272,0.00005345522,0.000007012942,0.00002468734,0.00005331841,0.00003436453],"domain_scores_gemma":[0.9996701,0.0001590392,0.00003627106,0.00002597975,0.00005587654,0.00005268945],"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":[0.00006762592,0.00004623357,0.0006024548,0.0001129943,0.00002332707,0.0004413211,0.0003045746,0.06808778,0.003521965,0.915396,0.00171142,0.009684209],"study_design_scores_gemma":[0.00003985196,0.0000373957,0.0002917869,0.0000304632,0.00001521554,0.000161578,0.0001851971,0.6389472,0.00225486,0.3554186,0.002582333,0.00003548295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3327097,0.0006369856,0.6266732,0.003267964,0.0004786637,0.0001030954,0.00009792515,0.0001741574,0.03585831],"genre_scores_gemma":[0.8464623,0.0004291578,0.1242666,0.0006440401,0.0002224349,0.0001855398,0.0001306393,0.0001425801,0.02751685],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002678767,"threshold_uncertainty_score":0.00896132,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2040362746","doi":"10.1090/s0065-9266-2013-00679-x","title":"Torsors, reductive group schemes and extended affine Lie algebras","year":2013,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Lie algebra; Affine transformation; Pure mathematics; Affine Lie algebra; Simple (philosophy); Adjoint representation of a Lie algebra; Group (periodic table); Affine representation; Algebra over a field; Lie conformal algebra; Current algebra; Physics","authors":[{"name":"Philippe Gille","is_ca":false},{"name":"Arturo Pianzola","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01352199781297917,"gpt":0.2617807934752905,"spread":0.2482587956623114,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004701203,0.0005743987,0.0002466092,0.001467836,0.0009805177,0.001967567,0.0004888331,0.0005166577,0.007282725],"category_scores_gemma":[0.0005635805,0.000159226,0.0004353078,0.0008840464,0.003612658,0.004145578,0.001632721,0.001404186,0.0008513762],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008581783,"about_ca_system_score_gemma":0.0003432015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001015528,"about_ca_topic_score_gemma":0.0005977562,"domain_scores_codex":[0.9997026,0.00006465389,0.00001949824,0.00003822077,0.0001004641,0.00007439956],"domain_scores_gemma":[0.9998,0.00004239139,0.00004304648,0.00003505814,0.00002895726,0.00005055801],"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":[0.00000283245,0.000003046223,0.00006779229,0.00001246981,0.000001175162,0.00004409368,0.0001654296,0.0002535866,0.0002235342,0.9975101,0.0003234652,0.001392436],"study_design_scores_gemma":[0.000003873788,0.00001433922,0.0003116632,0.00002032028,0.000003847812,0.0002349293,0.0002382128,0.001176931,0.0004704866,0.9741198,0.02339533,0.00001033698],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3467895,0.01946972,0.1566616,0.00511767,0.0008726555,0.0001106688,0.0009349561,0.0005064564,0.4695368],"genre_scores_gemma":[0.9355143,0.005141314,0.0182153,0.000353494,0.0004568073,0.00005422355,0.0003467404,0.00005785756,0.03985996],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007282725,"threshold_uncertainty_score":0.02436316,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3176762172","doi":"10.1090/memo/1324","title":"Model theory of C*-algebras","year":2021,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Algebra over a field; Pure mathematics","authors":[{"name":"Ilijas Farah","is_ca":true},{"name":"Bradd Hart","is_ca":false},{"name":"Martino Lupini","is_ca":false},{"name":"Leonel Robert","is_ca":false},{"name":"Aaron Tikuisis","is_ca":false},{"name":"Alessandro Vignati","is_ca":false},{"name":"Wilhelm Winter","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05147819468642539,"gpt":0.3454031776266785,"spread":0.2939249829402531,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001501489,0.0009921895,0.0009419319,0.001580747,0.002288553,0.006146114,0.001980211,0.001691806,0.009173531],"category_scores_gemma":[0.00228157,0.0004347658,0.001587436,0.002404543,0.003791225,0.006725785,0.002068898,0.002988681,0.002121417],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.005164063,"about_ca_system_score_gemma":0.00258852,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.009438696,"about_ca_topic_score_gemma":0.005488702,"domain_scores_codex":[0.9981043,0.0004949545,0.00009594591,0.000411757,0.0006282306,0.000264769],"domain_scores_gemma":[0.9987914,0.0003936757,0.00008909267,0.0001901851,0.0004159809,0.0001196927],"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":[0.000004485277,0.000005085311,0.00002959258,0.00002324074,0.000004822984,0.00001789002,0.00008479803,0.0008198046,0.0001224666,0.9967698,0.0009318267,0.001186171],"study_design_scores_gemma":[0.000006703173,0.000006731399,0.00003529087,0.00001530794,0.000004953718,0.00002458466,0.00005740731,0.006728915,0.0002386858,0.9848967,0.007976943,0.000007940374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05285598,0.007101456,0.6491362,0.007307791,0.0006716551,0.0001376293,0.001855066,0.001697407,0.2792368],"genre_scores_gemma":[0.8322716,0.003563091,0.1043268,0.001614565,0.0006876577,0.0003037771,0.001910116,0.0003386145,0.05498378],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009438696,"threshold_uncertainty_score":0.03746802,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963867225","doi":"10.1090/memo/1210","title":"Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow","year":2018,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Singularity; Mathematics; Mean curvature flow; Mean curvature; Curvature; Flow (mathematics); Symmetry (geometry); Rotational symmetry; Dynamics (music); Mathematical analysis; Geometry; Physics","authors":[{"name":"Zhou Gang","is_ca":false},{"name":"Dan Knopf","is_ca":false},{"name":"Israel Michael Sigal","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0145883195005857,"gpt":0.2813388291918509,"spread":0.2667505096912652,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003479938,0.0007160348,0.0004587144,0.001364775,0.001049189,0.001414771,0.0008812215,0.001590439,0.0034533],"category_scores_gemma":[0.002654071,0.0003162852,0.0006624764,0.0003310844,0.001693849,0.001399011,0.001562739,0.001078181,0.0003407027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001548307,"about_ca_system_score_gemma":0.0006462603,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005439941,"about_ca_topic_score_gemma":0.002389398,"domain_scores_codex":[0.9998394,0.00002834553,0.000005653169,0.00002788141,0.00004162702,0.00005708485],"domain_scores_gemma":[0.9994996,0.0001259799,0.00009641029,0.00004326695,0.00008294545,0.0001518883],"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":[0.0002980937,0.0001189658,0.005664209,0.0001430188,0.00006533388,0.001411632,0.0008479562,0.2156158,0.03312053,0.7258279,0.004208667,0.01267786],"study_design_scores_gemma":[0.00003878223,0.00008013832,0.003020243,0.00003358131,0.00001708886,0.0002992058,0.0002960799,0.8024579,0.004031315,0.1873941,0.002275425,0.00005611902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8973606,0.0004052678,0.07618304,0.001038405,0.0001256396,0.00006758513,0.0001663757,0.0002841129,0.02436915],"genre_scores_gemma":[0.9838994,0.0001606227,0.007888673,0.0001391855,0.00004082263,0.00004031665,0.0002041027,0.00008943941,0.007537571],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005439941,"threshold_uncertainty_score":0.01155251,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1869058603","doi":"10.1090/memo/1251","title":"Spinors on Singular Spaces and the Topology of Causal Fermion Systems","year":2019,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Noncommutative and Quantum Gravity Theories","field":"Physics and Astronomy","cited_by":14,"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":"Spinor; Mathematics; Singularity; Minkowski space; Topology (electrical circuits); Fermion; Homeomorphism (graph theory); Euclidean space; Pure mathematics; Mathematical analysis; Mathematical physics; Physics; Quantum mechanics; Discrete mathematics","authors":[{"name":"Felix Finster","is_ca":false},{"name":"Niky Kamran","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007220673884181456,"gpt":0.2580165776872447,"spread":0.2507959038030633,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006584954,0.0003137453,0.0002208597,0.001717811,0.001156761,0.002170522,0.0003680436,0.0007049251,0.002372018],"category_scores_gemma":[0.001265954,0.0001774023,0.0002641064,0.000685657,0.004093392,0.003027231,0.001058916,0.0008123589,0.0001730459],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008596678,"about_ca_system_score_gemma":0.0003626561,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007573926,"about_ca_topic_score_gemma":0.0005881385,"domain_scores_codex":[0.9997241,0.0001138211,0.00001524736,0.00003268832,0.00007222109,0.00004194663],"domain_scores_gemma":[0.9994185,0.0001736531,0.0001147453,0.00008064381,0.00008491553,0.0001275127],"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":[0.000002652852,0.000001893388,0.00006721633,0.000004321197,0.000001004049,0.0000272452,0.0001255756,0.0004287299,0.0002397901,0.9983955,0.0000947668,0.0006111653],"study_design_scores_gemma":[0.000003312106,0.000006812145,0.0001566982,0.000005432048,0.000001339711,0.00004015987,0.0001248892,0.002832399,0.0001045123,0.9950906,0.001629741,0.000004042164],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8000001,0.002607818,0.1018878,0.00294762,0.000306836,0.000030294,0.0001550414,0.0001657134,0.09189878],"genre_scores_gemma":[0.989678,0.0004926724,0.005648301,0.00008643475,0.00009539257,0.00001257321,0.00004429732,0.00001283858,0.003929386],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002372018,"threshold_uncertainty_score":0.007935226,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4393950498","doi":"10.1090/memo/1476","title":"Higher Airy Structures, 𝒲 Algebras and Topological Recursion","year":2024,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"European Regional Development Fund; Natural Sciences and Engineering Research Council of Canada; Max-Planck-Gesellschaft; Fundacja na rzecz Nauki Polskiej; European Commission","keywords":"Recursion (computer science); Mathematics; Pure mathematics; Algebra over a field; Topology (electrical circuits); Combinatorics; Algorithm","authors":[{"name":"Gaëtan Borot","is_ca":true},{"name":"Vincent Bouchard","is_ca":true},{"name":"Nitin Kumar Chidambaram","is_ca":true},{"name":"Thomas Creutzig","is_ca":true},{"name":"Dmitry Noshchenko","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02473415986693443,"gpt":0.3001177126131638,"spread":0.2753835527462293,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006013506,0.0003482369,0.0003703389,0.001362181,0.001339624,0.002129592,0.0005973126,0.0006621791,0.007571223],"category_scores_gemma":[0.001109455,0.0002275655,0.0007982981,0.0008752279,0.002662974,0.004448416,0.00194489,0.001294551,0.001216115],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001193373,"about_ca_system_score_gemma":0.0004831872,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001552945,"about_ca_topic_score_gemma":0.001223455,"domain_scores_codex":[0.9993435,0.0001399644,0.00003789174,0.00009987211,0.0001954158,0.0001834753],"domain_scores_gemma":[0.9995087,0.0001143772,0.00008669077,0.00008851938,0.00010533,0.00009625518],"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":[0.000005572458,0.000004164147,0.00007452226,0.00001079023,0.000001491679,0.00002752613,0.0001432646,0.0002145325,0.0004344415,0.9968665,0.000284682,0.001932359],"study_design_scores_gemma":[0.000008348273,0.0000141581,0.0002363499,0.00001097862,0.000003512728,0.00008194633,0.0001137165,0.002286854,0.0008745479,0.9873481,0.009008941,0.00001265385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4867235,0.002285787,0.278471,0.002297032,0.0005062803,0.00009387299,0.0004784669,0.0008903721,0.2282536],"genre_scores_gemma":[0.9383934,0.0005705243,0.03327087,0.0003445319,0.000236025,0.0000672856,0.0002152888,0.0001452422,0.02675681],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007571223,"threshold_uncertainty_score":0.02532828,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4235513894","doi":"10.1090/memo/1094","title":"A homology theory for Smale spaces","year":2014,"lang":"en","type":"paratext","venue":"Memoirs of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics","authors":[{"name":"Ian F. Putnam","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02462510337288598,"gpt":0.3157480478896814,"spread":0.2911229445167954,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008694888,0.0003511944,0.0004402967,0.002303119,0.001635051,0.001989669,0.0006342527,0.001039144,0.009666596],"category_scores_gemma":[0.001620776,0.000217604,0.0004921401,0.0008715575,0.003179254,0.006796353,0.002855985,0.001839133,0.001213155],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0013609,"about_ca_system_score_gemma":0.0004013724,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006112549,"about_ca_topic_score_gemma":0.0004047758,"domain_scores_codex":[0.9995341,0.00009820969,0.00002111074,0.00009802666,0.0001750178,0.00007350377],"domain_scores_gemma":[0.9992419,0.0002551853,0.00007903054,0.00009056008,0.0001686521,0.0001647232],"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":[0.000001711477,0.000003139922,0.00005527465,0.000008944447,0.000001213843,0.00002274669,0.0001429697,0.000326948,0.0002876158,0.9968748,0.0004151642,0.001859461],"study_design_scores_gemma":[0.000003542939,0.00001993631,0.0002189735,0.00001159015,0.000002154875,0.00008245365,0.0001203609,0.004039546,0.0003687269,0.9824381,0.0126887,0.000005907255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2300072,0.003224063,0.4944919,0.006079843,0.0007400578,0.00009139919,0.0003517681,0.0003615022,0.2646523],"genre_scores_gemma":[0.9036431,0.001122514,0.04121497,0.0006097144,0.0007492224,0.00009637456,0.0003083217,0.00006234116,0.05219334],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009666596,"threshold_uncertainty_score":0.03233796,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3200177433","doi":"10.1090/memo/1331","title":"Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies","year":2021,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Nonlinear system; Ground state; Mathematics; Energy (signal processing); Power (physics); Type (biology); Dynamics (music); Schrödinger's cat; State (computer science); Mathematical analysis; Physics; Quantum mechanics; Acoustics","authors":[{"name":"Takafumi Akahori","is_ca":false},{"name":"Slim Ibrahim","is_ca":false},{"name":"Hiroaki Kikuchi","is_ca":false},{"name":"Hayato Nawa","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0165219469667037,"gpt":0.2851679661135638,"spread":0.2686460191468601,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002242561,0.0004831628,0.0003310188,0.0008160216,0.000647067,0.0009605098,0.0005237639,0.0006460118,0.002508372],"category_scores_gemma":[0.0008181916,0.0002468224,0.0004792082,0.0002971893,0.001115523,0.001572968,0.0009442186,0.0007580409,0.0003211499],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005907388,"about_ca_system_score_gemma":0.0003800082,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001094422,"about_ca_topic_score_gemma":0.0009167342,"domain_scores_codex":[0.9999218,0.00001752735,0.000003433871,0.00001291279,0.0000220112,0.00002225181],"domain_scores_gemma":[0.9997905,0.00006762481,0.00003840547,0.00001394947,0.00003997416,0.00004962322],"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":[0.0001138522,0.00005841115,0.00236955,0.0001237831,0.00003582704,0.000670634,0.0008302263,0.06549004,0.03867452,0.8820521,0.001157032,0.008423951],"study_design_scores_gemma":[0.00004403962,0.00006000748,0.001727773,0.00002548154,0.00001870638,0.0002662555,0.0003023093,0.6502084,0.004144453,0.3422369,0.0009240631,0.00004161622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9089633,0.0002968903,0.06875446,0.0008563882,0.00005298791,0.00002560901,0.0000649795,0.00008665962,0.02089881],"genre_scores_gemma":[0.9869416,0.0002591649,0.00628668,0.00006257195,0.00003556077,0.0000465419,0.00006190794,0.00003938119,0.006266682],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002508372,"threshold_uncertainty_score":0.008391321,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2011568005","doi":"10.1090/s0065-9266-2012-00671-x","title":"Fixed Point Theorems for Plane Continua with Applications","year":2012,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Julia set; Jordan curve theorem; Fixed point; Invariant (physics); Mathematical proof; Polynomial; Plane (geometry); Degenerate energy levels; Plane curve; Mathematical analysis; Pure mathematics; Geometry; Physics; Mathematical physics","authors":[{"name":"Alexander Blokh","is_ca":false},{"name":"Robbert Fokkink","is_ca":false},{"name":"John C. Mayer","is_ca":false},{"name":"Lex Oversteegen","is_ca":false},{"name":"E. D. Tymchatyn","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02411892760391007,"gpt":0.2981628735276105,"spread":0.2740439459237005,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001948557,0.001241825,0.000795623,0.002931564,0.002082822,0.003115561,0.001463413,0.001405186,0.010879],"category_scores_gemma":[0.005004879,0.000440759,0.002077812,0.001758239,0.003731034,0.005870841,0.004039948,0.004472614,0.001973497],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002766404,"about_ca_system_score_gemma":0.0006694143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00201981,"about_ca_topic_score_gemma":0.001025856,"domain_scores_codex":[0.9987763,0.0003129543,0.0000838112,0.0002715164,0.0004062781,0.0001491485],"domain_scores_gemma":[0.9983449,0.0009181509,0.0001097134,0.0001398546,0.0003463253,0.0001410781],"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":[0.000003909603,0.000003447354,0.00003889474,0.0000234162,0.000003472348,0.00004468184,0.0001195103,0.0003538828,0.0001849808,0.9963943,0.0007270314,0.00210244],"study_design_scores_gemma":[0.000007811565,0.00001608329,0.0001115889,0.0000304055,0.000007418432,0.00007621211,0.0001009326,0.003237481,0.0003325765,0.9770043,0.01906602,0.000009157589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05585641,0.007074235,0.5575938,0.004945866,0.001288072,0.0001587177,0.0005341265,0.0006581482,0.3718906],"genre_scores_gemma":[0.7059413,0.008270307,0.1712422,0.002068777,0.00285682,0.0006458436,0.0009451082,0.000698081,0.1073316],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.010879,"threshold_uncertainty_score":0.03639394,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4221029657","doi":"10.1090/memo/1353","title":"Arthur packets for 𝑝-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples","year":2022,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary; University of Lethbridge","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Mathematisches Forschungsinstitut Oberwolfach; University of Calgary","keywords":"Pure mathematics; Mathematical economics; Mathematics; Algebra over a field","authors":[{"name":"Clifton Cunningham","is_ca":true},{"name":"Andrew Fiori","is_ca":true},{"name":"Ahmed Moussaoui","is_ca":true},{"name":"James Mracek","is_ca":true},{"name":"Bin Xu","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01910237694467484,"gpt":0.269603514690837,"spread":0.2505011377461622,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005480609,0.0007095415,0.0003088853,0.00234669,0.00120849,0.0033632,0.0006334339,0.0006663025,0.00408885],"category_scores_gemma":[0.001151087,0.0002697691,0.0005580458,0.0009908066,0.00347351,0.003765537,0.002197475,0.001503517,0.0005435639],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001068653,"about_ca_system_score_gemma":0.0003928381,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007718564,"about_ca_topic_score_gemma":0.0003979859,"domain_scores_codex":[0.9994965,0.0001152317,0.00002503313,0.0000736072,0.0001927962,0.0000968224],"domain_scores_gemma":[0.9997142,0.00007995119,0.00004283309,0.00003966172,0.00005254445,0.00007077468],"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":[0.000004263804,0.000004986452,0.0001531242,0.000008909868,0.000001562826,0.00005587334,0.0003129818,0.0001416881,0.0003312441,0.9965596,0.0001829755,0.002242842],"study_design_scores_gemma":[0.00001090293,0.00003451692,0.0005392447,0.00001974051,0.000009736948,0.0003563498,0.0005747334,0.004071094,0.001411782,0.9727525,0.02020313,0.00001631758],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4966923,0.002040413,0.3086538,0.002013385,0.0003770411,0.0001981858,0.0002130287,0.0005413623,0.1892706],"genre_scores_gemma":[0.9534972,0.0006727394,0.02377818,0.0001620824,0.0001614861,0.00009914819,0.00008954157,0.0001127389,0.02142676],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00408885,"threshold_uncertainty_score":0.01367855,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2168955452","doi":"10.1090/memo/1168","title":"Semicrossed products of operator algebras by semigroups","year":2016,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"Division of Mathematical Sciences; Ben-Gurion University of the Negev; University of Waterloo; Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences; Skirball Foundation","keywords":"Endomorphism; Crossed product; Mathematics; Semigroup; Pure mathematics; Injective function; Automorphism; Operator algebra; Abelian group; Covariant transformation; Algebra over a field; Product (mathematics); Mathematical physics","authors":[{"name":"Kenneth R. Davidson","is_ca":true},{"name":"Adam H. Fuller","is_ca":false},{"name":"Evgenios T. A. Kakariadis","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02653312019391317,"gpt":0.3321447311726849,"spread":0.3056116109787717,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001032756,0.0003221354,0.0002576424,0.0008555007,0.0008627886,0.001675962,0.0005344997,0.0003432537,0.004663263],"category_scores_gemma":[0.0013287,0.0001873842,0.0005993104,0.0005314053,0.001909822,0.002912458,0.001233544,0.000723789,0.0004886755],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000603954,"about_ca_system_score_gemma":0.0003389534,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005080604,"about_ca_topic_score_gemma":0.0003138958,"domain_scores_codex":[0.9990653,0.0002108039,0.00005886446,0.000184346,0.000313487,0.000167253],"domain_scores_gemma":[0.9992085,0.0002163407,0.0001396946,0.0001086649,0.0001678493,0.0001589699],"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":[0.00001890101,0.000015266,0.0002014487,0.00001423217,0.000004871631,0.0001743531,0.0005502206,0.0005552216,0.003164214,0.9919944,0.0001441314,0.003162741],"study_design_scores_gemma":[0.00001865049,0.00009167811,0.0006435982,0.00001870493,0.00001348721,0.0003640822,0.0004676562,0.01529998,0.008610366,0.9658589,0.008588625,0.00002430018],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7624356,0.0004908681,0.1801468,0.0003303687,0.0001242029,0.00005274259,0.00008577402,0.0002651018,0.05606851],"genre_scores_gemma":[0.9674262,0.0001791988,0.02373696,0.00006653753,0.00007997193,0.00003440954,0.00006748005,0.00006349813,0.008345681],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004663263,"threshold_uncertainty_score":0.01560014,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2090251234","doi":"10.1090/memo/1101","title":"Higher-order time asymptotics of fast diffusion in Euclidean space: A dynamical systems approach","year":2014,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":9,"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; Banff International Research Station for Mathematical Innovation and Discovery; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Mathematics; Eigenvalues and eigenvectors; Mathematical analysis; Homogeneous space; Nonlinear system; Convergence (economics); Linearization; Euclidean space; Differentiable function; Geometry; Physics","authors":[{"name":"Jochen Denzler","is_ca":false},{"name":"Herbert Koch","is_ca":false},{"name":"Robert J. McCann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009569869081062462,"gpt":0.2362571748154426,"spread":0.2266873057343801,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002197364,0.0008372184,0.0007481046,0.002503122,0.0008028555,0.001967842,0.001171596,0.001115676,0.00473554],"category_scores_gemma":[0.01053452,0.000369759,0.001254067,0.0008294734,0.002330675,0.0043592,0.001704447,0.001931709,0.0005742438],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002088421,"about_ca_system_score_gemma":0.0008561299,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004245047,"about_ca_topic_score_gemma":0.001928486,"domain_scores_codex":[0.9995205,0.0001658105,0.00002869623,0.00007730636,0.0001473227,0.00006035734],"domain_scores_gemma":[0.9961486,0.002259448,0.0004952633,0.000222805,0.0006043115,0.0002695213],"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":[0.0000166081,0.00001570598,0.0005498001,0.00008189728,0.00002239609,0.0001064787,0.000180225,0.03905285,0.001807147,0.9541038,0.0007044972,0.003358717],"study_design_scores_gemma":[0.000008434665,0.00001928478,0.000651166,0.00003305979,0.00001206001,0.00008612018,0.00006491178,0.6275072,0.0004894492,0.3691043,0.001995182,0.00002885953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1412443,0.003479305,0.8102441,0.002882948,0.0003797129,0.00008251756,0.0001948974,0.0004402836,0.04105191],"genre_scores_gemma":[0.8859056,0.003337953,0.08008138,0.0004483743,0.0007675731,0.0002067223,0.0002345761,0.0003990703,0.02861877],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00473554,"threshold_uncertainty_score":0.0158419,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2269014414","doi":"10.1090/memo/1208","title":"Degree Spectra of Relations on a Cone","year":2018,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":6,"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","keywords":"Degree (music); Mathematics; Spectrum (functional analysis); Cone (formal languages); Combinatorics; Omega; Spectral line; Physics; Quantum mechanics","authors":[{"name":"Matthew Harrison‐Trainor","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02752002781112535,"gpt":0.2697651628799183,"spread":0.2422451350687929,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009394769,0.0007073143,0.0006460429,0.003801875,0.002177582,0.003656735,0.001004347,0.0007200076,0.01112361],"category_scores_gemma":[0.002867854,0.0004014831,0.0009354202,0.001872358,0.002957177,0.005154513,0.002146103,0.002092709,0.001515992],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002862772,"about_ca_system_score_gemma":0.0005203826,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003889808,"about_ca_topic_score_gemma":0.003178242,"domain_scores_codex":[0.998297,0.0002436184,0.00008097479,0.0003719881,0.0006211351,0.0003853484],"domain_scores_gemma":[0.9979431,0.0006998405,0.0001862768,0.0002140198,0.0005478162,0.0004088597],"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":[0.00002080442,0.00001119485,0.0002131082,0.00002209646,0.000004562482,0.00004915521,0.000203408,0.0003291018,0.0006979219,0.9935454,0.00108746,0.003815723],"study_design_scores_gemma":[0.00001534254,0.00002114535,0.000913324,0.00002093297,0.000007754873,0.0001445332,0.0002085254,0.003931932,0.001053955,0.9854423,0.008220343,0.00001993474],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4341736,0.001244321,0.2061665,0.002441921,0.0004505612,0.00009377852,0.001160147,0.0008412465,0.3534279],"genre_scores_gemma":[0.9531243,0.0005501132,0.01735679,0.0004213329,0.0003477665,0.00006869273,0.0006688763,0.0003358092,0.02712625],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01112361,"threshold_uncertainty_score":0.03721225,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4247671952","doi":"10.1090/memo/1097","title":"Self-affine scaling sets in ℝ²","year":2014,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","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":"McMaster University","funders":"","keywords":"Mathematics; Scaling; Affine transformation; Pure mathematics; Geometry","authors":[{"name":"Xiaoye Fu","is_ca":false},{"name":"Jean‐Pierre Gabardo","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01504469253933757,"gpt":0.2872979590663584,"spread":0.2722532665270208,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008091308,0.0007234459,0.0009077953,0.002791629,0.001831095,0.003299449,0.0008279983,0.0007749341,0.007718365],"category_scores_gemma":[0.00229446,0.0005297221,0.001648287,0.001248218,0.002618852,0.002957189,0.002401071,0.001847392,0.001561268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001477918,"about_ca_system_score_gemma":0.0004905882,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001135731,"about_ca_topic_score_gemma":0.000814118,"domain_scores_codex":[0.9987615,0.0001416491,0.0000859957,0.0003446997,0.000471372,0.0001948625],"domain_scores_gemma":[0.9984328,0.0004145821,0.0002449892,0.0002191178,0.0004838252,0.0002046795],"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":[0.00001660771,0.00001276628,0.0002387551,0.00003319999,0.00001185455,0.00008649859,0.0001975356,0.001257744,0.001195433,0.9891423,0.0009625508,0.006844772],"study_design_scores_gemma":[0.00001202604,0.00003479936,0.0007485791,0.00003135955,0.00001218287,0.0002008935,0.0001987839,0.01557083,0.001960299,0.9700504,0.01115546,0.00002429216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3504004,0.001525052,0.4681877,0.001171877,0.0006296889,0.0001125063,0.0006606891,0.0007722725,0.1765397],"genre_scores_gemma":[0.863283,0.001013211,0.07767642,0.0004771697,0.0006112413,0.0001951736,0.001054058,0.0003514518,0.0553383],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007718365,"threshold_uncertainty_score":0.02582049,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1925615832","doi":"10.1090/memo/1295","title":"Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields","year":2020,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","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":"Western University","funders":"","keywords":"Mathematics; Combinatorics; Integer (computer science); Order (exchange); Abelian variety; Abelian group; Function field; Endomorphism; Prime (order theory); Prime power; Additive group; Dimension (graph theory); Group (periodic table); Field (mathematics); Pure mathematics","authors":[{"name":"Lisa Berger","is_ca":false},{"name":"Chris Hall","is_ca":true},{"name":"René Pannekoek","is_ca":false},{"name":"Jennifer Park","is_ca":false},{"name":"Rachel Pries","is_ca":false},{"name":"Shahed Sharif","is_ca":false},{"name":"Alice Silverberg","is_ca":false},{"name":"Douglas Ulmer","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0280879187069128,"gpt":0.2850464271333005,"spread":0.2569585084263877,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004244779,0.001244389,0.0006239759,0.002734373,0.00151488,0.002608493,0.001087721,0.0008993697,0.006472704],"category_scores_gemma":[0.001358221,0.0003980529,0.0006859001,0.001145481,0.002635874,0.003268296,0.001809869,0.001473975,0.0007878708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002189161,"about_ca_system_score_gemma":0.0005804039,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002305696,"about_ca_topic_score_gemma":0.001919361,"domain_scores_codex":[0.9995626,0.00004710871,0.00001779555,0.00007642394,0.0001294422,0.0001666914],"domain_scores_gemma":[0.9995812,0.00009596077,0.00008841745,0.00005686908,0.0000566919,0.0001209078],"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":[0.0001812692,0.0001035007,0.003457492,0.00009839254,0.00002553563,0.001005465,0.001731672,0.01053913,0.01108308,0.9572982,0.001336472,0.0131397],"study_design_scores_gemma":[0.0001383319,0.0003087596,0.01108333,0.0001230616,0.00007297488,0.00131744,0.001357642,0.0671505,0.01732466,0.8837587,0.01718409,0.0001805417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9548642,0.0003407286,0.01002934,0.000322058,0.000055009,0.000023837,0.00007086303,0.0001829134,0.03411099],"genre_scores_gemma":[0.9897482,0.0001972476,0.002200342,0.00004114602,0.00006637798,0.00001575371,0.0001096198,0.00007088949,0.007550305],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006472704,"threshold_uncertainty_score":0.02165335,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2928470312","doi":"10.1090/memo/1415","title":"Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity","year":2023,"lang":"lv","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":2,"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","keywords":"Singularity; Multiplicity (mathematics); Boundary value problem; Physics; Stability (learning theory); Mathematical analysis; Mathematics; Mathematical physics; Computer science","authors":[{"name":"Nassif Ghoussoub","is_ca":true},{"name":"Saikat Mazumdar","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04735332702259868,"gpt":0.3093632624882465,"spread":0.2620099354656478,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001041218,0.0009419812,0.001120389,0.002238593,0.001847571,0.003110152,0.00158305,0.001571081,0.01043215],"category_scores_gemma":[0.004810809,0.0004904965,0.001046116,0.0006576345,0.002852051,0.003997485,0.004258045,0.002523948,0.001569858],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002124128,"about_ca_system_score_gemma":0.001522968,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002654345,"about_ca_topic_score_gemma":0.001389034,"domain_scores_codex":[0.9993339,0.0001908569,0.00003101092,0.0001078068,0.0001782987,0.0001581038],"domain_scores_gemma":[0.9987363,0.0004175643,0.0001687198,0.0001055968,0.0001862036,0.0003856288],"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":[0.00003037255,0.00001646479,0.0002281207,0.00003519591,0.000007739342,0.0001091716,0.0001260636,0.002295668,0.0006122119,0.9936438,0.001195713,0.001699478],"study_design_scores_gemma":[0.00002235028,0.00001801096,0.0003751715,0.00002043636,0.000005911452,0.00009687988,0.00009263017,0.04342334,0.0003850072,0.9543778,0.001158216,0.00002417741],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6313315,0.001858047,0.1631233,0.007960557,0.0007948469,0.0001065929,0.000504737,0.0007638973,0.1935565],"genre_scores_gemma":[0.9528108,0.0004707262,0.01112042,0.0003554053,0.0003076452,0.00008784628,0.0002453028,0.0002915592,0.0343102],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01043215,"threshold_uncertainty_score":0.03489906,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2216982448","doi":"10.1090/memo/1240","title":"Crossed Products of Operator Algebras","year":2019,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra 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 Manitoba","funders":"","keywords":"Automorphism; Isomorphism (crystallography); Pure mathematics; Mathematics; Algebra over a field; Operator algebra; Tensor product; Complement (music); Generalization; Crossed product; Context (archaeology); Duality (order theory); Tensor product of algebras; Tensor product of Hilbert spaces; Mathematical analysis; Tensor contraction","authors":[{"name":"Elias G. Katsoulis","is_ca":false},{"name":"Christopher Ramsey","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04332988023570977,"gpt":0.3555436309053829,"spread":0.3122137506696731,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001340334,0.0006546046,0.0004334751,0.001675287,0.001557276,0.002485653,0.0009197794,0.0008539615,0.006574556],"category_scores_gemma":[0.002536059,0.0002993585,0.001220707,0.001185156,0.002459666,0.004812926,0.002296997,0.001283808,0.0009724781],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001125199,"about_ca_system_score_gemma":0.0006000887,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00113476,"about_ca_topic_score_gemma":0.0006510833,"domain_scores_codex":[0.9982845,0.0004578726,0.0001083493,0.0002955639,0.0005930581,0.0002606845],"domain_scores_gemma":[0.9984413,0.000294646,0.0002820491,0.0002581964,0.0004386813,0.0002850301],"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":[0.000008920456,0.0000128513,0.0002160561,0.00002000035,0.000008653285,0.0001016237,0.0002618606,0.0005954061,0.001188509,0.9939079,0.0004102389,0.003267944],"study_design_scores_gemma":[0.00000805734,0.00004971386,0.0002567084,0.000013978,0.0000131532,0.0003445411,0.0002605071,0.009485202,0.002548162,0.9787846,0.008216796,0.00001853495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3894953,0.001410567,0.4593328,0.0009665373,0.0005597691,0.000152715,0.0003094002,0.0006393379,0.1471335],"genre_scores_gemma":[0.9268863,0.0005403816,0.04939438,0.0002649367,0.0002806684,0.00009058233,0.0002595241,0.0001639816,0.02211932],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006574556,"threshold_uncertainty_score":0.02199405,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}