{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":101,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":101,"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":"bf2540cf17c0","filters":{"venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)"}},"results":[{"id":"W2063558317","doi":"10.1515/crll.2004.064","title":"Weighted Dirac combs with pure point diffraction","year":2004,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":123,"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":"Natural Sciences and Engineering Research Council of Canada; Volkswagen Foundation; Deutsche Forschungsgemeinschaft","keywords":"Point (geometry); Diffraction; Dirac (video compression format); Physics; Mathematical physics; Mathematics; Optics; Quantum mechanics; Geometry","authors":[{"name":"Michael Baake","is_ca":false},{"name":"Robert V. Moody","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01303292662860049,"gpt":0.2564697758343893,"spread":0.2434368492057889,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003925405,0.0003062843,0.0003643783,0.001315125,0.0007648916,0.00167763,0.0004315828,0.0006804687,0.002604114],"category_scores_gemma":[0.001932528,0.0002253171,0.0003452958,0.0006695441,0.001519191,0.001690559,0.00112009,0.000640766,0.0002651155],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004541379,"about_ca_system_score_gemma":0.0003022,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002616509,"about_ca_topic_score_gemma":0.0002849849,"domain_scores_codex":[0.9995751,0.00007802156,0.00002211929,0.00005762146,0.0002083056,0.00005881277],"domain_scores_gemma":[0.9990898,0.0003131622,0.0001943949,0.000117356,0.000158894,0.0001264325],"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":[0.00004038035,0.00001673501,0.0006377089,0.00003258377,0.000008932661,0.0003117364,0.0001229309,0.001978631,0.007569533,0.9827904,0.0003488308,0.006141587],"study_design_scores_gemma":[0.00003609205,0.00008588959,0.001364562,0.00003131416,0.00001343526,0.001571483,0.0002829734,0.0706959,0.007270399,0.9152263,0.003386376,0.00003535247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8252341,0.0006404538,0.1427734,0.0003172107,0.0001073044,0.00004735473,0.0001138342,0.0001461131,0.03062022],"genre_scores_gemma":[0.9810297,0.0001531465,0.01501958,0.00006212505,0.00004698107,0.00003533482,0.00006093646,0.00002947271,0.003562571],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002604114,"threshold_uncertainty_score":0.008711696,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963883323","doi":"10.1515/crelle-2014-0111","title":"Boundaries of reduced C*C^{*}-algebras of discrete groups","year":2014,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":105,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subalgebra; Combinatorics; Isomorphism (crystallography); Boundary (topology); Mathematics; Algebra over a field; Pure mathematics; Crystallography; Mathematical analysis; Crystal structure","authors":[{"name":"Mehrdad Kalantar","is_ca":true},{"name":"Matthew Kennedy","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03063989399536985,"gpt":0.3531296562121239,"spread":0.322489762216754,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006355827,0.0003891069,0.0005006032,0.001776378,0.001789931,0.002847825,0.0008699152,0.0005937871,0.007587931],"category_scores_gemma":[0.001440396,0.0002795532,0.0005470813,0.0005890845,0.003075971,0.003802452,0.00194653,0.001294353,0.0008687882],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002444982,"about_ca_system_score_gemma":0.0009702723,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002974741,"about_ca_topic_score_gemma":0.001538318,"domain_scores_codex":[0.9990976,0.0001470007,0.00004460032,0.0001543945,0.0003137832,0.0002427118],"domain_scores_gemma":[0.9991737,0.0001340607,0.0001287008,0.00006536711,0.0001680879,0.0003300483],"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":[0.00003718065,0.00001846112,0.000183925,0.00002439774,0.000004958456,0.00009392306,0.0003653848,0.0004034954,0.001581878,0.9952396,0.0003720761,0.00167455],"study_design_scores_gemma":[0.00003454417,0.00004410991,0.0007804704,0.00002303575,0.00001103914,0.0001793391,0.0005308788,0.005975908,0.003565744,0.9830308,0.005801549,0.00002263792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8278504,0.0008947402,0.03930845,0.001158129,0.0002375282,0.00009501602,0.0002662819,0.0003725699,0.1298168],"genre_scores_gemma":[0.9841073,0.0001332556,0.004750655,0.000133279,0.0001036735,0.00004583433,0.0001693385,0.00004755655,0.0105092],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007587931,"threshold_uncertainty_score":0.02538419,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1562477161","doi":"10.1515/crelle-2015-0096","title":"Variation of geometric invariant theory quotients and derived categories","year":2016,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":90,"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":"Austrian Science Fund; National Science Foundation","keywords":"Mathematics; Pure mathematics; Geometric invariant theory; Invariant (physics); Quotient; Coherent sheaf; Projective test; Equivalence (formal languages); Moduli space; Linearization; Variation (astronomy); Mathematical analysis; Nonlinear system; Mathematical physics","authors":[{"name":"Matthew R. Ballard","is_ca":false},{"name":"David Favero","is_ca":true},{"name":"Ludmil Katzarkov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03009767589615042,"gpt":0.3000736672975514,"spread":0.2699759914014009,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008493635,0.0003290385,0.0005134475,0.002478333,0.00109894,0.002263332,0.0007295485,0.0005001916,0.003380993],"category_scores_gemma":[0.001546408,0.0002211571,0.0007081537,0.001113263,0.003924402,0.003906359,0.002819599,0.001166596,0.0003262],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001549125,"about_ca_system_score_gemma":0.0002973784,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008145672,"about_ca_topic_score_gemma":0.0005041171,"domain_scores_codex":[0.9989721,0.0002264134,0.0000601836,0.0002123894,0.0003498339,0.0001791939],"domain_scores_gemma":[0.9993063,0.0001596692,0.0001288598,0.0001156296,0.0001471432,0.0001423247],"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":[0.00001596062,0.000008824192,0.0007443731,0.00001535999,0.000006800812,0.0001246549,0.0003281136,0.0005234567,0.001227156,0.9942578,0.0001240513,0.002623466],"study_design_scores_gemma":[0.00001364365,0.00004941184,0.00281698,0.00002378145,0.00001346023,0.0004852943,0.0004745797,0.006649642,0.001797528,0.9835692,0.004080139,0.00002640619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8984556,0.0006537755,0.05998253,0.0004240487,0.00006259913,0.00003912429,0.0001707214,0.0001278753,0.04008381],"genre_scores_gemma":[0.993773,0.0001212087,0.003763739,0.00004226802,0.0000371401,0.00001429008,0.00009727909,0.00002105769,0.0021299],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003380993,"threshold_uncertainty_score":0.01131052,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2329563442","doi":"10.1515/crelle-2014-0059","title":"Classification of irreducible representations of Lie algebra of vector fields on a torus","year":2014,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":89,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Torus; Lie algebra; Quotient; Weight; Pure mathematics; Simple (philosophy); Irreducible representation; Algebra over a field; Tensor (intrinsic definition); Vector space; Virasoro algebra; Combinatorics; Algebra representation; Cellular algebra; Geometry","authors":[{"name":"Yuly Billig","is_ca":true},{"name":"Vyacheslav Futorny","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04067713784901151,"gpt":0.3386068785696335,"spread":0.297929740720622,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004864172,0.0004644359,0.0006546273,0.00268702,0.001210631,0.0019637,0.000646796,0.000684144,0.001889115],"category_scores_gemma":[0.001651958,0.0002943349,0.0006340575,0.00136827,0.002544533,0.002478771,0.001244088,0.0005993596,0.0002356112],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005454461,"about_ca_system_score_gemma":0.0004128187,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005629763,"about_ca_topic_score_gemma":0.0003809282,"domain_scores_codex":[0.9994276,0.00009377226,0.00006135101,0.0001174822,0.0001652035,0.0001345666],"domain_scores_gemma":[0.9990174,0.0001381878,0.0002892892,0.00008426973,0.0001484348,0.0003224698],"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":[0.000374446,0.0002390178,0.02465364,0.0002572651,0.00008275088,0.001721663,0.00287674,0.006750647,0.02520211,0.9010048,0.003277296,0.03355976],"study_design_scores_gemma":[0.00008856833,0.0005205308,0.01753493,0.00007762302,0.00005882562,0.002830171,0.001454727,0.04920512,0.01000846,0.9101747,0.007931872,0.0001145613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9881545,0.0001302628,0.008991663,0.0001131418,0.00005108843,0.00002182931,0.0000591133,0.00004715378,0.002431133],"genre_scores_gemma":[0.9940124,0.0001210727,0.003076763,0.00002428055,0.00009579134,0.00001497439,0.0002377082,0.00001262776,0.002404404],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00268702,"threshold_uncertainty_score":0.006319702,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963048041","doi":"10.1515/crelle.2008.062","title":"The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras","year":2008,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":86,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"","keywords":"Mathematics; Conjecture; Counterexample; Semigroup; Invariant (physics); Unital; Pure mathematics; Simple (philosophy); Class (philosophy); Dimension (graph theory); Discrete mathematics; Algebra over a field; Computer science; Artificial intelligence","authors":[{"name":"Nathanial P. Brown","is_ca":true},{"name":"Francesc Perera","is_ca":true},{"name":"Andrew S. Toms","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03412789706437296,"gpt":0.3216098657251349,"spread":0.287481968660762,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00102491,0.0003256907,0.000362342,0.00161618,0.00174025,0.001944265,0.0005444961,0.0006367739,0.002895342],"category_scores_gemma":[0.002534142,0.0001380261,0.0003825412,0.001023015,0.003418442,0.003423306,0.001579372,0.001081858,0.0002811604],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001017814,"about_ca_system_score_gemma":0.0005604337,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001534917,"about_ca_topic_score_gemma":0.0008353501,"domain_scores_codex":[0.9995313,0.00008737184,0.00002565855,0.0001029654,0.0001522384,0.0001004868],"domain_scores_gemma":[0.9987935,0.000414733,0.0002041654,0.0001937488,0.0001728809,0.0002209806],"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":[0.00001406555,0.000007680223,0.000567689,0.00001258756,0.000001907043,0.00006244267,0.0002427555,0.000411726,0.0004604504,0.9939505,0.0003035848,0.00396455],"study_design_scores_gemma":[0.000006688403,0.00001711616,0.0007729515,0.00001047616,0.000005186548,0.0001431896,0.0002093478,0.005922083,0.001402259,0.9886391,0.002857785,0.00001383945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8138695,0.001353234,0.1035556,0.001405639,0.0001752208,0.00002820275,0.0001146018,0.0001688815,0.07932905],"genre_scores_gemma":[0.9891351,0.0002510537,0.005937624,0.000101692,0.0000739137,0.0000114332,0.00005182007,0.000009734113,0.004427545],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002895342,"threshold_uncertainty_score":0.009685934,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2060782153","doi":"10.1515/crelle.2006.066","title":"Definable sets in algebraically closed valued fields: elimination of imaginaries","year":2006,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":85,"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":"Algebraically closed field; Unary operation; Mathematics; Valuation (finance); Pure mathematics; Independence (probability theory); Field (mathematics); Discrete mathematics","authors":[{"name":"Deirdre Haskell","is_ca":true},{"name":"Ehud Hrushovski","is_ca":false},{"name":"Dugald Macpherson","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02074509386524011,"gpt":0.3261825406068535,"spread":0.3054374467416134,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001449976,0.0003755438,0.0006305673,0.001330475,0.001300227,0.003114333,0.0006580518,0.0004867769,0.002187424],"category_scores_gemma":[0.003041289,0.0004266815,0.0009058891,0.0007768802,0.004567948,0.005282843,0.001617561,0.002218806,0.0003076433],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008454838,"about_ca_system_score_gemma":0.0004394601,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003791262,"about_ca_topic_score_gemma":0.0004009242,"domain_scores_codex":[0.999233,0.0001675559,0.00005890011,0.0001060281,0.0002419935,0.0001925668],"domain_scores_gemma":[0.9970892,0.001674454,0.0003618669,0.0003603953,0.0002772091,0.0002369368],"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":[0.0001438006,0.00007063294,0.002544923,0.00008577198,0.00001841072,0.0003822951,0.001642078,0.00117034,0.004871723,0.9709781,0.0005024166,0.01758959],"study_design_scores_gemma":[0.00006395862,0.0001296381,0.003199711,0.00005347236,0.0000553444,0.001929449,0.001443147,0.009735395,0.01754302,0.9538101,0.01199821,0.0000385535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8041847,0.0009715663,0.1443822,0.0008956397,0.00007061662,0.00004466981,0.0001047884,0.0002079681,0.04913772],"genre_scores_gemma":[0.9860851,0.000256992,0.009253618,0.00006034143,0.00003619261,0.00001746181,0.0000942931,0.00001915191,0.004176795],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003114333,"threshold_uncertainty_score":0.007668257,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1976867052","doi":"10.1515/crll.2005.2005.585.61","title":"Canonical heights, transfinite diameters, and polynomial dynamics","year":2005,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":60,"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":"Transfinite number; Mathematics; Generalization; Polynomial; Julia set; Zero (linguistics); Product (mathematics); Simple (philosophy); Field (mathematics); Degree (music); Function (biology); Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Geometry","authors":[{"name":"Matthew Baker","is_ca":false},{"name":"Liang-Chung Hsia","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02035716133690249,"gpt":0.3007824092269621,"spread":0.2804252478900596,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008876032,0.0003850706,0.000384922,0.001576617,0.001171399,0.002068812,0.0009106112,0.0005686336,0.002514662],"category_scores_gemma":[0.004638802,0.0004226491,0.0005602599,0.0007152863,0.003510271,0.005094653,0.002654151,0.001597777,0.0003286999],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001510469,"about_ca_system_score_gemma":0.0003352239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00072804,"about_ca_topic_score_gemma":0.0005979813,"domain_scores_codex":[0.9994422,0.00007387069,0.00002658696,0.000165642,0.0001490574,0.0001427395],"domain_scores_gemma":[0.9977836,0.0008862371,0.0003451666,0.0002264253,0.0002698963,0.0004886566],"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":[0.00002284491,0.000007725987,0.0008717828,0.00001358651,0.000002869161,0.00004684285,0.0002357702,0.001307887,0.00167027,0.9922282,0.0002413614,0.003350859],"study_design_scores_gemma":[0.00002506624,0.00007090715,0.002174614,0.00001048351,0.00001274659,0.0003952248,0.0003302074,0.02811151,0.005262628,0.9592358,0.00433962,0.00003126543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8304958,0.0007597298,0.1415497,0.0008593703,0.00009882754,0.0000269958,0.0001381899,0.0001960033,0.02587542],"genre_scores_gemma":[0.9845353,0.0002923364,0.01163706,0.00004786212,0.00009799637,0.0000331845,0.00007112545,0.00003111526,0.00325412],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002514662,"threshold_uncertainty_score":0.01095927,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2077594928","doi":"10.1515/crelle.2006.058","title":"Mild pro-p-groups and Galois groups of p-extensions of ℚ","year":2006,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":51,"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":"Cohomological dimension; Mathematics; Galois group; Class (philosophy); Group (periodic table); Galois module; Dimension (graph theory); Finitely-generated abelian group; Extension (predicate logic); Combinatorics; Discrete mathematics; Pure mathematics; Physics; Computer science","authors":[{"name":"John Labute","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02354019067049471,"gpt":0.2989266994864207,"spread":0.275386508815926,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006828816,0.0005638648,0.0004474871,0.001262281,0.001337955,0.001816258,0.0005470784,0.0004019488,0.002710853],"category_scores_gemma":[0.001341678,0.0002700316,0.0007339235,0.0004034721,0.003313378,0.003911749,0.003282908,0.001266526,0.0003137633],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005583104,"about_ca_system_score_gemma":0.0003576437,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002108786,"about_ca_topic_score_gemma":0.0001765095,"domain_scores_codex":[0.999353,0.0001463559,0.00003704757,0.0001443736,0.0001546136,0.0001645686],"domain_scores_gemma":[0.9987664,0.000326137,0.0002471826,0.0002108794,0.0001037004,0.0003456596],"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":[0.0002129114,0.00003954958,0.00290656,0.00006210557,0.00002902233,0.0005082511,0.001803334,0.0009412456,0.009347531,0.9729183,0.0003390265,0.01089209],"study_design_scores_gemma":[0.00004377835,0.0002796098,0.004761451,0.00003458261,0.00003487998,0.0009698078,0.001326172,0.0037468,0.006856277,0.9681395,0.01376026,0.00004690701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9252322,0.0005855576,0.0513023,0.0005489456,0.00009767702,0.00005500419,0.0001227317,0.0001316944,0.02192382],"genre_scores_gemma":[0.9851441,0.0001775193,0.008681281,0.00008182933,0.0001153115,0.00005161999,0.0001193428,0.00001354772,0.005615416],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002710853,"threshold_uncertainty_score":0.009068668,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2564948658","doi":"10.1515/crelle-2015-0090","title":"Multi-bump solutions of -Δ<i>n</i> = <i>K</i>(<i>x</i>)<i>u</i> <sup>(<i>n</i>+2)/(<i>n</i>-2)</sup> on lattices in ℝ<sup> <i>n</i> </sup>","year":2016,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":47,"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":"National Science Foundation","keywords":"Physics; Combinatorics; Mathematics","authors":[{"name":"Yanyan Li","is_ca":false},{"name":"Juncheng Wei","is_ca":true},{"name":"Haoyuan Xu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06522624276413452,"gpt":0.3361012128323866,"spread":0.2708749700682521,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000493801,0.0009760881,0.000918741,0.001458486,0.001389786,0.002581614,0.001237552,0.001779036,0.008054262],"category_scores_gemma":[0.00278287,0.000549635,0.0005672059,0.0004020559,0.001901824,0.001982763,0.002141495,0.002005035,0.0008995184],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001877941,"about_ca_system_score_gemma":0.0008318456,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003553759,"about_ca_topic_score_gemma":0.002455428,"domain_scores_codex":[0.999743,0.00004637996,0.00001042774,0.00003785718,0.00007290666,0.00008944458],"domain_scores_gemma":[0.9990564,0.0002431055,0.0001693241,0.00004236278,0.0001681476,0.0003206702],"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":[0.001451936,0.000444616,0.004050869,0.0003969924,0.0001420857,0.002177431,0.001111679,0.1073545,0.04402364,0.8163267,0.009579885,0.01293971],"study_design_scores_gemma":[0.000270775,0.0001790637,0.00216132,0.0001435676,0.00003171154,0.0004569348,0.0008659121,0.7296652,0.008448573,0.2537134,0.003947495,0.0001160851],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8997909,0.0009281265,0.04426377,0.002668069,0.0004292379,0.00008163005,0.0002424211,0.0003553246,0.05124056],"genre_scores_gemma":[0.9565136,0.0002713588,0.01048211,0.0002764439,0.0001422054,0.0001222941,0.0002028517,0.0002058719,0.03178328],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008054262,"threshold_uncertainty_score":0.02694416,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2051800858","doi":"10.1515/crelle.2007.010","title":"Massey products and ideal class groups","year":2007,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":43,"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; Cyclotomic field; Abelian extension; Abelian group; Galois extension; Pure mathematics; Algebraic number field; Galois group; Galois module; Genus field; Quotient; Root of unity; Extension (predicate logic); Galois cohomology; Discrete mathematics","authors":[{"name":"Romyar T. Sharifi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0228933279869976,"gpt":0.2990926045130881,"spread":0.2761992765260905,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006343119,0.0005864316,0.0003735689,0.00139043,0.001442028,0.002193323,0.0004840433,0.000537871,0.004268475],"category_scores_gemma":[0.001285837,0.0002650692,0.0006126927,0.0007809783,0.002994218,0.005495966,0.001803478,0.001124564,0.0004635871],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001004623,"about_ca_system_score_gemma":0.0002400626,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007208264,"about_ca_topic_score_gemma":0.0004025219,"domain_scores_codex":[0.9997003,0.00004771429,0.00001300186,0.0000533535,0.00008485308,0.0001008104],"domain_scores_gemma":[0.9995685,0.0001315168,0.00009054208,0.00004082429,0.00004731345,0.0001213056],"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":[0.00005941794,0.00002331062,0.001318395,0.00003039843,0.000007925814,0.0003272344,0.001007188,0.0007958711,0.001557854,0.9903025,0.0003504186,0.004219612],"study_design_scores_gemma":[0.00002934625,0.00009527138,0.001634033,0.00002669874,0.00002079148,0.0005083687,0.0005902179,0.004932601,0.003351244,0.9810665,0.00772369,0.00002125617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8976042,0.001112524,0.04663183,0.0007881176,0.0001248722,0.0000365141,0.0001078242,0.0001311415,0.05346293],"genre_scores_gemma":[0.9880986,0.0002814782,0.00403908,0.00003951148,0.0001198878,0.00001296951,0.00007506525,0.00002020716,0.007313194],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004268475,"threshold_uncertainty_score":0.01427943,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2327211522","doi":"10.1515/crelle-2014-0133","title":"The mean square of the product of the Riemann zeta-function with Dirichlet polynomials","year":2015,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":42,"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":"National Science Foundation","keywords":"Polynomial; Riemann hypothesis; Riemann zeta function; Mathematics; Combinatorics; Dirichlet distribution; Square (algebra); Product (mathematics); Dirichlet series; Order (exchange); Function (biology); Mathematical analysis; Geometry","authors":[{"name":"Sandro Bettin","is_ca":true},{"name":"Vorrapan Chandee","is_ca":false},{"name":"Maksym Radziwiłł","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05481928280437062,"gpt":0.3319522278379722,"spread":0.2771329450336016,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002348562,0.000950571,0.0007237852,0.002365788,0.0006483946,0.002329348,0.001844213,0.0009149506,0.01014481],"category_scores_gemma":[0.02187217,0.0004403944,0.0007152144,0.0009244975,0.002615691,0.004481717,0.001873034,0.00195206,0.00265912],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001899314,"about_ca_system_score_gemma":0.001006802,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001141089,"about_ca_topic_score_gemma":0.0007003696,"domain_scores_codex":[0.9988901,0.0002941596,0.00003830361,0.0002186692,0.0004231601,0.0001355621],"domain_scores_gemma":[0.9915847,0.00450685,0.0007827255,0.0007049455,0.001594243,0.0008265313],"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":[0.0003179439,0.00007383084,0.004727897,0.000416223,0.00005623197,0.0005926218,0.0003846441,0.01536227,0.01322746,0.9261948,0.005830281,0.03281576],"study_design_scores_gemma":[0.00003752424,0.0001368309,0.006332078,0.0001493462,0.00005456106,0.001676746,0.0002039398,0.3033186,0.01348688,0.6666793,0.007766244,0.0001579937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4316664,0.004063254,0.4804491,0.002938872,0.00107977,0.00005357235,0.0004094056,0.001821685,0.07751804],"genre_scores_gemma":[0.9548118,0.001075219,0.02028422,0.0002403979,0.0007894486,0.00007827805,0.0002507395,0.0005954946,0.02187436],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01014481,"threshold_uncertainty_score":0.03393775,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963712867","doi":"10.1515/crelle-2014-0060","title":"Ambitoric geometry I: Einstein metrics and extremal ambikähler structures","year":2014,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":40,"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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Einstein; Betti number; Hermitian matrix; Mathematics; Pure mathematics; Quartic function; Quadratic equation; Torus; Mathematical physics; Geometry","authors":[{"name":"Vestislav Apostolov","is_ca":true},{"name":"David M. J. Calderbank","is_ca":false},{"name":"Paul Gauduchon","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03768354915228789,"gpt":0.3110976451550179,"spread":0.27341409600273,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001510105,0.0004492615,0.0003368832,0.001881731,0.0007235993,0.001550088,0.0003604663,0.0003311542,0.001750227],"category_scores_gemma":[0.0003622503,0.0001685545,0.0001857723,0.0006931542,0.002537868,0.001029756,0.001469661,0.0005329319,0.0002280901],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005427935,"about_ca_system_score_gemma":0.0001707182,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000468345,"about_ca_topic_score_gemma":0.0004456233,"domain_scores_codex":[0.9997248,0.00004280238,0.00002524248,0.00006978856,0.00008551253,0.00005178022],"domain_scores_gemma":[0.9997459,0.00001311053,0.00009146367,0.00003382898,0.000044459,0.00007129322],"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":[0.0000986244,0.00002715523,0.01138913,0.0001516305,0.00003126466,0.00104412,0.001188511,0.005138508,0.01951737,0.9406214,0.001607655,0.01918467],"study_design_scores_gemma":[0.00008283995,0.0003764456,0.09280852,0.0001880011,0.00009729565,0.009170103,0.003325898,0.03498413,0.01842782,0.8040972,0.03626999,0.0001717471],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9573855,0.0005600179,0.0108327,0.0002194995,0.00003030415,0.00002354355,0.0001143021,0.00005735561,0.03077668],"genre_scores_gemma":[0.9948785,0.0001881525,0.002995213,0.00002840708,0.00003268179,0.00001578626,0.0001705752,0.000008634413,0.001681945],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001881731,"threshold_uncertainty_score":0.005855083,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2039569224","doi":"10.1515/crelle.2006.069","title":"Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields","year":2006,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic Geometry and Number Theory","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":"Concordia University","funders":"National Science Foundation","keywords":"Supersingular elliptic curve; Mathematics; Elliptic curve; Iwasawa theory; Prime (order theory); Algebraic number field; Number theory; Pure mathematics; Group (periodic table); Extension (predicate logic); Prime number; Algebra over a field; Discrete mathematics; Arithmetic; Combinatorics; Computer science; Physics; Abelian group","authors":[{"name":"Adrian Iovita","is_ca":true},{"name":"Robert Pollack","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0180398709357247,"gpt":0.287908288751086,"spread":0.2698684178153614,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007010999,0.0007942284,0.0006348438,0.002477326,0.001411739,0.00190303,0.0006708395,0.0005520849,0.002538702],"category_scores_gemma":[0.001230074,0.0003086369,0.0006844061,0.001059668,0.003429971,0.005687058,0.001529659,0.001431567,0.0004803579],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001111153,"about_ca_system_score_gemma":0.0004567805,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004385524,"about_ca_topic_score_gemma":0.0003520684,"domain_scores_codex":[0.9996831,0.00006047156,0.00001682852,0.00005691482,0.0001062615,0.00007632928],"domain_scores_gemma":[0.9994301,0.0001292589,0.0001521702,0.00006597996,0.00007175784,0.0001506992],"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":[0.00002498288,0.00001747753,0.0004205878,0.00002597774,0.000004843369,0.0001408816,0.0004935235,0.00225881,0.001398677,0.9920258,0.0001205504,0.003067814],"study_design_scores_gemma":[0.00001829131,0.0000913599,0.0007868692,0.00003002275,0.00001237147,0.0002621856,0.0003964533,0.01222293,0.001680292,0.9813769,0.003102253,0.00002004204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9013208,0.001105325,0.05542695,0.0006273771,0.00006978216,0.00003678953,0.00005186245,0.00008405568,0.04127718],"genre_scores_gemma":[0.9825608,0.0006978294,0.007330524,0.00006072924,0.0001594666,0.00003508108,0.00005735742,0.00002245978,0.009075863],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002538702,"threshold_uncertainty_score":0.008492827,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2146638188","doi":"10.1515/crelle-2013-0009","title":"Energy inequalities for cutoff functions and some applications","year":2013,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":38,"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":"Trinity College, University of Cambridge; Natural Sciences and Engineering Research Council of Canada","keywords":"Dirichlet form; Bounded function; Cutoff; Heat kernel; Completeness (order theory); Measure (data warehouse); Sobolev inequality; Metric (unit); Dirichlet distribution; Poincaré inequality","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03269703751891293,"gpt":0.3039680788096154,"spread":0.2712710412907025,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003424538,0.0008052039,0.00101631,0.002361644,0.0009456718,0.001645764,0.001103536,0.001497893,0.004485301],"category_scores_gemma":[0.01196656,0.0003281329,0.001055778,0.0009820159,0.002777818,0.003239868,0.002836755,0.003562284,0.0003406069],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002209083,"about_ca_system_score_gemma":0.0009168049,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00191147,"about_ca_topic_score_gemma":0.001215787,"domain_scores_codex":[0.9988912,0.0004561158,0.00005839118,0.0001474487,0.0003055408,0.0001414264],"domain_scores_gemma":[0.9922318,0.004933454,0.0004622577,0.0004648044,0.001213327,0.0006943034],"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":[0.00001948737,0.00001815712,0.000457517,0.00004970809,0.000008697321,0.000131251,0.0001090279,0.004396973,0.001668055,0.9889144,0.0007843443,0.003442424],"study_design_scores_gemma":[0.0000126289,0.00003074203,0.0006170764,0.0000624827,0.000009787473,0.0001387734,0.0001161781,0.09609557,0.0008185398,0.8981805,0.00390027,0.00001746241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2654705,0.01224693,0.592085,0.01043459,0.0005965913,0.00009369005,0.0003684002,0.0003943118,0.11831],"genre_scores_gemma":[0.9473388,0.001950015,0.03526194,0.0007106635,0.0005273163,0.0001132625,0.0001899246,0.000111526,0.01379661],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004485301,"threshold_uncertainty_score":0.01811093,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963470058","doi":"10.1515/crelle-2018-0032","title":"A gluing approach for the fractional Yamabe problem with isolated singularities","year":2019,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":29,"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":"Ministerio de Economía y Competitividad; National Natural Science Foundation of China; National Science Foundation","keywords":"Gravitational singularity; Mathematics; Construct (python library); Bubble; Mathematical analysis; Singular point of a curve; Point (geometry); Order (exchange); Applied mathematics; Calculus (dental); Computer science; Geometry","authors":[{"name":"Weiwei Ao","is_ca":false},{"name":"Azahara DelaTorre","is_ca":false},{"name":"María del Mar González","is_ca":false},{"name":"Juncheng Wei","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01465027363149291,"gpt":0.2588950081591388,"spread":0.2442447345276459,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006108633,0.0007141304,0.001075501,0.0008427749,0.0008730436,0.001006007,0.0006959524,0.001265435,0.002299069],"category_scores_gemma":[0.001579226,0.0003325776,0.0007790961,0.0002453112,0.001902983,0.001260869,0.00219006,0.001064468,0.0002692994],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004903063,"about_ca_system_score_gemma":0.0002938655,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005788013,"about_ca_topic_score_gemma":0.0003623808,"domain_scores_codex":[0.9998233,0.00006875754,0.00001073803,0.0000300084,0.00003552212,0.00003172373],"domain_scores_gemma":[0.9995443,0.0001405347,0.0000662804,0.0000621177,0.00006907053,0.0001176591],"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":[0.0002452068,0.0001099102,0.001468524,0.0002269411,0.00009241727,0.0009705084,0.0005242088,0.1590189,0.03604424,0.7879069,0.0008542804,0.0125379],"study_design_scores_gemma":[0.00004160629,0.000170133,0.0004711137,0.00004196418,0.00002848036,0.0002317375,0.0001855088,0.7902246,0.004393887,0.2026424,0.001535396,0.00003319694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4497594,0.0008257008,0.5371819,0.0004237364,0.0001523061,0.00004571363,0.00003623091,0.0001854293,0.01138954],"genre_scores_gemma":[0.9437181,0.000237086,0.05166061,0.00008048862,0.00005030498,0.00005039549,0.00003724787,0.0000593949,0.004106355],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002299069,"threshold_uncertainty_score":0.007691145,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964279988","doi":"10.1515/crelle-2012-0071","title":"<i>K</i>-theoretic Schubert calculusfor OG(<i>n</i>,2<i>n</i>+1) and jeu de taquin for shifted increasing tableaux","year":2012,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Combinatorial Mathematics","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":"University of New Brunswick","funders":"","keywords":"Conjecture; Schubert calculus; Combinatorics; Mathematics; Associative property; Product (mathematics); Rectification; Pure mathematics; Physics; Grassmannian; Geometry; Quantum mechanics","authors":[{"name":"Edward Clifford","is_ca":false},{"name":"Hugh Thomas","is_ca":true},{"name":"Alexander Yong","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03254753951707855,"gpt":0.3457814417351378,"spread":0.3132339022180592,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006776988,0.0003030136,0.0004027934,0.0007022484,0.0017448,0.001603438,0.0005893503,0.0005017943,0.003377778],"category_scores_gemma":[0.0008815865,0.0002464583,0.0006026708,0.0004355637,0.003086415,0.002126954,0.001404267,0.001786919,0.0004763712],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009972255,"about_ca_system_score_gemma":0.0005936711,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001190909,"about_ca_topic_score_gemma":0.001438347,"domain_scores_codex":[0.9995807,0.00005907471,0.00002169076,0.00008988733,0.0001434561,0.0001052412],"domain_scores_gemma":[0.9996051,0.00006711605,0.00005809519,0.00007602207,0.00009659552,0.00009700781],"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":[0.00001496497,0.0000076756,0.0003420623,0.00001228155,0.00000257124,0.0001086764,0.000163817,0.0002081173,0.001414475,0.9950417,0.0004154809,0.002268192],"study_design_scores_gemma":[0.00001168467,0.00002573381,0.0008031052,0.0000145852,0.000008130956,0.0002750506,0.0001943132,0.003123016,0.003159401,0.982754,0.009608031,0.00002291512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7279059,0.0008273937,0.09683628,0.001272089,0.0006437941,0.00007723211,0.0001615017,0.0001755104,0.1721002],"genre_scores_gemma":[0.9669545,0.0002163254,0.01874384,0.0002596814,0.0001204171,0.00003151678,0.00007023012,0.00004646334,0.01355704],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003377778,"threshold_uncertainty_score":0.01129973,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963473541","doi":"10.1515/crll.2003.013","title":"Plurisubharmonicity of envelopes of disc functionals on manifolds","year":2003,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Geometry","authors":[{"name":"Finnur Lárusson","is_ca":true},{"name":"Ragnar Sigurðsson","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03755637106484801,"gpt":0.3131173446627249,"spread":0.2755609735978769,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006655072,0.0003130429,0.0002850931,0.001192607,0.0007824274,0.001442885,0.0003123188,0.0004388506,0.0018241],"category_scores_gemma":[0.002023645,0.000159167,0.0003345859,0.0004139855,0.001905279,0.002247811,0.001633255,0.0007579626,0.0002053872],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007001641,"about_ca_system_score_gemma":0.0001672305,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004030303,"about_ca_topic_score_gemma":0.0002884846,"domain_scores_codex":[0.9997517,0.00004515319,0.00001603988,0.00004063401,0.00008688668,0.00005950758],"domain_scores_gemma":[0.9993619,0.0001916126,0.0001332065,0.00007803186,0.0001078857,0.0001273368],"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":[0.00002515365,0.00001493482,0.001356405,0.00003352697,0.000005425476,0.0001822286,0.0005740214,0.001784259,0.003294489,0.9833331,0.0003589041,0.009037591],"study_design_scores_gemma":[0.00001138918,0.000077331,0.005315972,0.00004467912,0.00001477444,0.0007397955,0.000751427,0.04165231,0.004621034,0.9373622,0.009383159,0.00002591937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8582448,0.001083979,0.08676948,0.0005100546,0.00005453639,0.00002884082,0.00009554672,0.00005411513,0.0531586],"genre_scores_gemma":[0.9893063,0.0004690925,0.004887317,0.00003943332,0.00006461014,0.00002459714,0.00005756774,0.00001654402,0.005134499],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0018241,"threshold_uncertainty_score":0.006102264,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2042314744","doi":"10.1515/crll.2002.077","title":"Generalized isoperimetric inequalities for extrinsic balls in minimal submanifolds","year":2002,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":21,"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":"Isoperimetric inequality; Inequality; Mathematics; Pure mathematics; Minimal surface; Combinatorics; Mathematical analysis","authors":[{"name":"Steen Markvorsen","is_ca":true},{"name":"Vicente Palmer","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06551533924720551,"gpt":0.3181069307751976,"spread":0.2525915915279922,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003129613,0.001843008,0.001374559,0.004945266,0.00156119,0.004215546,0.00271193,0.002003195,0.007346811],"category_scores_gemma":[0.01238427,0.0008484857,0.001577065,0.001935748,0.002949633,0.008113833,0.00581892,0.004874596,0.0005996696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002878939,"about_ca_system_score_gemma":0.0004925538,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001137889,"about_ca_topic_score_gemma":0.001158324,"domain_scores_codex":[0.9973074,0.0008098556,0.0001845217,0.0004840298,0.0008647077,0.0003495468],"domain_scores_gemma":[0.9910212,0.004290309,0.001226734,0.0005849858,0.001689135,0.001187611],"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":[0.00009495951,0.00001663515,0.001111207,0.0001782581,0.00004414145,0.0001966312,0.0002072461,0.004380559,0.002691289,0.9816008,0.002514662,0.006963704],"study_design_scores_gemma":[0.000028539,0.0000864941,0.003945216,0.00009928198,0.0000518811,0.0004801147,0.0002318562,0.06119439,0.001617482,0.9235023,0.008706365,0.00005608229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3876435,0.00995799,0.4900933,0.008675444,0.001096814,0.0002063002,0.001693284,0.0002726703,0.1003607],"genre_scores_gemma":[0.9052444,0.004413582,0.05961405,0.001188996,0.001651273,0.0003176344,0.001792072,0.0002004021,0.02557756],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007346811,"threshold_uncertainty_score":0.0245775,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1979694433","doi":"10.1515/crelle-2012-0121","title":"Special cycles on unitary Shimura varieties II: Global theory","year":2013,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Algebra and Geometry","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 Toronto","funders":"","keywords":"Mathematics; Uniformization (probability theory); Pure mathematics; Eisenstein series; Shimura variety; Unitary state; Intersection (aeronautics); Abelian group; Hermitian matrix; Algebra over a field; Fourier series; Group (periodic table); Arithmetic; Modular form; Mathematical analysis","authors":[{"name":"Stephen S. Kudla","is_ca":true},{"name":"Michael Rapoport","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03742993352633747,"gpt":0.3383418081295446,"spread":0.3009118746032071,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003812335,0.0005529356,0.0005844839,0.002710609,0.001629174,0.003268527,0.0005109595,0.0006920782,0.006694639],"category_scores_gemma":[0.0009533764,0.000324606,0.0005705726,0.001021871,0.002552938,0.003291446,0.001852696,0.001093595,0.0004047212],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001259974,"about_ca_system_score_gemma":0.0003120054,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004942048,"about_ca_topic_score_gemma":0.0003425729,"domain_scores_codex":[0.99962,0.00006491673,0.00001762957,0.00007857674,0.0001013776,0.0001174342],"domain_scores_gemma":[0.9996653,0.0000603377,0.000075165,0.000042647,0.00004460464,0.0001119928],"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":[0.000022497,0.0000126043,0.000435149,0.00001274601,0.00000373589,0.00009445306,0.0002735424,0.0005486544,0.0009247207,0.9950522,0.000227579,0.002392183],"study_design_scores_gemma":[0.00001765619,0.00005317456,0.001537468,0.00003535804,0.00001719893,0.0003676975,0.0006635489,0.01082846,0.002444939,0.9799514,0.004061187,0.00002180819],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9337343,0.0004753901,0.01997596,0.0003198262,0.00006691029,0.00003126869,0.00006229628,0.0001399855,0.04519416],"genre_scores_gemma":[0.993431,0.000116604,0.001973566,0.00003003398,0.00005409231,0.00002140763,0.00004414532,0.00002805162,0.004301026],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006694639,"threshold_uncertainty_score":0.02239579,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964235491","doi":"10.1515/crelle.2012.038","title":"Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations","year":2012,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Nonlinear Partial Differential Equations","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":"McGill University","funders":"","keywords":"Quasiconvex function; Mathematics; Convexity; Rank (graph theory); Boundary (topology); Regular polygon; Nonlinear system; Constant (computer programming); Operator (biology); Mathematical analysis; Pure mathematics; Elliptic operator; Geometry; Combinatorics; Convex set; Convex optimization; Computer science; Physics","authors":[{"name":"Pengfei Guan","is_ca":true},{"name":"Xu Lu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1447286612741192,"gpt":0.3865287516153452,"spread":0.241800090341226,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001619001,0.001310419,0.001072671,0.004382182,0.001436905,0.003622988,0.001631943,0.001166017,0.006287089],"category_scores_gemma":[0.007715963,0.0007709662,0.001284783,0.0007642006,0.003039375,0.004562143,0.003626998,0.00310105,0.0005835969],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001977005,"about_ca_system_score_gemma":0.0006070377,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001275528,"about_ca_topic_score_gemma":0.001096328,"domain_scores_codex":[0.999422,0.0001477743,0.00002413596,0.00008849498,0.0002027342,0.0001148787],"domain_scores_gemma":[0.9959069,0.001983138,0.0005948184,0.0002728794,0.0005197676,0.0007225079],"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":[0.00004378245,0.00003633166,0.001674824,0.00008112092,0.0000294649,0.0001276662,0.0002288589,0.01611543,0.002941571,0.9733658,0.001345958,0.004009211],"study_design_scores_gemma":[0.00002150662,0.00006343541,0.003454287,0.00006393453,0.00002624804,0.0002018855,0.0002503605,0.2823587,0.002323408,0.7086107,0.002575904,0.00004964797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6358294,0.00167355,0.3098376,0.002499208,0.0001197398,0.000125246,0.0007368898,0.0002624375,0.04891575],"genre_scores_gemma":[0.963652,0.0008682388,0.02373464,0.0002019336,0.0002039502,0.0001473542,0.0006314015,0.0001892386,0.01037124],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006287089,"threshold_uncertainty_score":0.02103245,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2079307736","doi":"10.1515/crelle-2012-0053","title":"Turbulence, orbit equivalence, and the classification of nuclear <i>C<sup>*</sup> </i>-algebras","year":2012,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Danmarks Frie Forskningsfond; Austrian Science Fund","keywords":"Equivalence (formal languages); Turbulence; Physics; Orbit (dynamics); Nuclear physics; Mathematics; Pure mathematics; Meteorology; Engineering; Aerospace engineering","authors":[{"name":"Ilijas Farah","is_ca":true},{"name":"Andrew S. Toms","is_ca":false},{"name":"Asger Törnquist","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04575818830337958,"gpt":0.3445101005321631,"spread":0.2987519122287836,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000947369,0.0003357433,0.0004689736,0.002225156,0.002011489,0.004058771,0.0006000538,0.0007075351,0.003498151],"category_scores_gemma":[0.003105167,0.0002196189,0.0005857456,0.001340425,0.005917716,0.005067232,0.002370174,0.001453824,0.0002467769],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002905319,"about_ca_system_score_gemma":0.001074711,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003448468,"about_ca_topic_score_gemma":0.001842442,"domain_scores_codex":[0.9988402,0.0001451299,0.0001057893,0.0002494481,0.0004028597,0.0002566901],"domain_scores_gemma":[0.9978713,0.0005337092,0.000434406,0.0001568205,0.0003479247,0.0006558109],"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":[0.0000615376,0.00002021377,0.003626943,0.00003128082,0.000009416007,0.00007184971,0.0005459927,0.0008864009,0.001587549,0.9892716,0.0003389308,0.003548341],"study_design_scores_gemma":[0.00001967608,0.00007173823,0.005155898,0.00003796764,0.00001840188,0.0002364883,0.000945983,0.009674486,0.003012033,0.9766576,0.004124073,0.00004571808],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9443488,0.0005148714,0.03098761,0.0008560922,0.0000579475,0.0000333929,0.000193237,0.0001043492,0.02290368],"genre_scores_gemma":[0.9948437,0.0001349374,0.002877631,0.00006273119,0.00004238412,0.00001759772,0.0002107325,0.00001119258,0.001799091],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004058771,"threshold_uncertainty_score":0.02107972,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963469887","doi":"10.1515/crelle-2015-0073","title":"Hausdorff theory of dual approximation on planar curves","year":2015,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hausdorff space; Dual (grammatical number); Planar; Mathematics; Hausdorff distance; Mathematical analysis; Geometry; Pure mathematics; Computer science; Art; Computer graphics (images); Literature","authors":[{"name":"Jing-Jing Huang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07875196704286834,"gpt":0.3434260062268449,"spread":0.2646740391839766,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008651052,0.0004096134,0.0006760851,0.002854948,0.001076764,0.002598508,0.0007831036,0.0007926226,0.002484962],"category_scores_gemma":[0.003253517,0.0002112699,0.0006517029,0.0009407821,0.002450546,0.002894277,0.00218016,0.001543954,0.0002591953],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002059835,"about_ca_system_score_gemma":0.0003481089,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001191,"about_ca_topic_score_gemma":0.000390608,"domain_scores_codex":[0.9992445,0.0001758109,0.00003409218,0.000152262,0.0002793926,0.0001141504],"domain_scores_gemma":[0.9987997,0.0002923992,0.0002277149,0.0001093988,0.0002719569,0.0002987751],"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":[0.00001311229,0.000005899225,0.0004608113,0.00001348552,0.000005477365,0.00004453638,0.0001016828,0.001237559,0.000458123,0.9959095,0.0002547685,0.001495119],"study_design_scores_gemma":[0.00001065776,0.00003567176,0.001228718,0.00002595841,0.000009338532,0.000232801,0.0002034271,0.03286953,0.0004794623,0.960593,0.004296082,0.00001529767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8025573,0.002732864,0.1380483,0.00189304,0.00018463,0.00003018379,0.000298984,0.0001857302,0.05406887],"genre_scores_gemma":[0.9863026,0.0006055314,0.007208184,0.0001075082,0.0001608399,0.00001911991,0.0001701294,0.00002701028,0.005399072],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002854948,"threshold_uncertainty_score":0.01494521,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2331770179","doi":"10.1515/crelle-2014-0150","title":"<i>p</i>-adic <i>L</i>-functions and the coniveau filtration on Chow groups","year":2015,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","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":"McGill University","funders":"National Science Foundation","keywords":"Conjecture; Mathematics; Combinatorics; Physics; Stereochemistry; Crystallography; Chemistry","authors":[{"name":"Massimo Bertolini","is_ca":false},{"name":"Henri Darmon","is_ca":true},{"name":"Kartik Prasanna","is_ca":false},{"name":"Brian Conrad","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.038405670068625,"gpt":0.3004053957679087,"spread":0.2619997256992837,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005614763,0.0005767148,0.0003446915,0.001639352,0.001405724,0.002023434,0.0004965909,0.0004688824,0.005363769],"category_scores_gemma":[0.001014495,0.0001990726,0.0003704775,0.0007624668,0.002562215,0.001966194,0.0008236141,0.000890561,0.0004524207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001173706,"about_ca_system_score_gemma":0.0004643593,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001274694,"about_ca_topic_score_gemma":0.0007379959,"domain_scores_codex":[0.9997008,0.00004956037,0.00001125366,0.00006104547,0.00005794194,0.0001194662],"domain_scores_gemma":[0.99937,0.0001694523,0.0001131376,0.00007455824,0.00008810379,0.0001846713],"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":[0.0002447104,0.00007503426,0.009127486,0.00007481396,0.00002009353,0.001087254,0.001089657,0.002396277,0.009846748,0.9593534,0.002502406,0.01418208],"study_design_scores_gemma":[0.00004990566,0.0001840847,0.01548329,0.00007723778,0.00003777755,0.002361631,0.001370143,0.01770831,0.01887077,0.9235695,0.0201852,0.0001021523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9529841,0.0003077429,0.012277,0.0005222472,0.00004107655,0.00001180076,0.00007858163,0.0001614492,0.03361592],"genre_scores_gemma":[0.9952444,0.00007584059,0.001497519,0.00004352704,0.00002546087,0.000007210288,0.00006108386,0.00001667522,0.003028218],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005363769,"threshold_uncertainty_score":0.01794356,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004867991","doi":"10.1515/crelle-2014-0126","title":"K-theoretic duality for hyperbolic dynamical systems","year":2015,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":16,"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":"Duality (order theory); Conjecture; Noncommutative geometry; Dynamical systems theory; Dynamical system (definition)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.09907374802994096,"gpt":0.4091420662498003,"spread":0.3100683182198593,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005227049,0.000174299,0.0003253543,0.0006159325,0.0008293999,0.00172869,0.000346068,0.0004635254,0.004618363],"category_scores_gemma":[0.001086623,0.0001314613,0.0003546899,0.0002527112,0.002115622,0.0018832,0.00139933,0.0007543733,0.0003484205],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001147015,"about_ca_system_score_gemma":0.000445718,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006964098,"about_ca_topic_score_gemma":0.0003339384,"domain_scores_codex":[0.9996806,0.00008002044,0.00001929832,0.00006499606,0.00009135562,0.00006366548],"domain_scores_gemma":[0.9995582,0.0000936969,0.00008191982,0.00004978863,0.0001005942,0.0001159123],"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":[0.000008775664,0.00000660246,0.0001191431,0.000009045569,0.000002570568,0.00003250071,0.0000928588,0.000879645,0.0004223395,0.997438,0.0002031924,0.0007853806],"study_design_scores_gemma":[0.0000111588,0.0000178876,0.0002732029,0.000007580014,0.00000225357,0.00006652633,0.0001170882,0.01237491,0.0003299566,0.98493,0.001860971,0.000008410299],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7095823,0.001090313,0.09995205,0.002413166,0.0003365442,0.00004544506,0.0001657892,0.0001403972,0.1862739],"genre_scores_gemma":[0.9930859,0.0001138273,0.001868953,0.00008724332,0.00007583258,0.000009230743,0.00002553551,0.000008132797,0.004725329],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004618363,"threshold_uncertainty_score":0.01545,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963807425","doi":"10.1515/crelle-2015-0013","title":"Positivity criteria for log canonical divisors and hyperbolicity","year":2015,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Combinatorics; Dimension (graph theory); Mathematics; Divisor (algebraic geometry); Physics","authors":[{"name":"Steven Lu","is_ca":true},{"name":"De‐Qi Zhang","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07615625959272473,"gpt":0.3706568298859441,"spread":0.2945005702932194,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002283582,0.0005877124,0.0006002156,0.002154918,0.002052832,0.00301095,0.001040592,0.0009491569,0.01312981],"category_scores_gemma":[0.006934415,0.0005921109,0.0008592264,0.0007423423,0.0057423,0.00488545,0.004430416,0.002888524,0.001484292],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001820167,"about_ca_system_score_gemma":0.0005939088,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006373695,"about_ca_topic_score_gemma":0.000813864,"domain_scores_codex":[0.9984429,0.0003782047,0.0000963159,0.0003325538,0.0004404712,0.0003095544],"domain_scores_gemma":[0.9962124,0.001573704,0.000276193,0.0002688721,0.0008309233,0.0008378749],"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":[0.00004420136,0.00001995523,0.00106058,0.0000366477,0.000004951934,0.0001314042,0.000175739,0.0005601866,0.001201846,0.9926318,0.001187036,0.002945614],"study_design_scores_gemma":[0.00002651483,0.0000462849,0.001904157,0.00003427355,0.0000117289,0.0003097511,0.0002901875,0.005440834,0.003334406,0.9820107,0.00655946,0.00003178249],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5527586,0.0008128423,0.2133449,0.004899987,0.0003900421,0.0001753128,0.0006089644,0.0007647016,0.2262447],"genre_scores_gemma":[0.976169,0.0002057651,0.01004502,0.0003570398,0.000147454,0.00007910626,0.0002415385,0.0001352534,0.0126199],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01312981,"threshold_uncertainty_score":0.04392356,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963343135","doi":"10.1515/crelle-2014-0140","title":"Lp{L_{p}}-representations of discrete quantum groups","year":2015,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":14,"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":"Combinatorics; Algebra over a field; Mathematics; Pure mathematics","authors":[{"name":"Michael Brannan","is_ca":false},{"name":"Zhong‐Jin Ruan","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0806586933335222,"gpt":0.4073991943877249,"spread":0.3267405010542027,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001051567,0.000605436,0.0005393863,0.001279159,0.001300477,0.002620973,0.0008504522,0.0007299306,0.009946979],"category_scores_gemma":[0.001904091,0.0002736168,0.0008319867,0.0006041644,0.002911125,0.002892995,0.002307445,0.002003355,0.001402055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002027689,"about_ca_system_score_gemma":0.001124125,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001927016,"about_ca_topic_score_gemma":0.0009999021,"domain_scores_codex":[0.9988413,0.0003155079,0.00004554087,0.0002039883,0.0003090799,0.0002846245],"domain_scores_gemma":[0.9988198,0.0002257853,0.0001818629,0.0001588816,0.0002457934,0.0003679963],"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":[0.00002930759,0.00002576747,0.0000870761,0.00001536838,0.000004136079,0.00005629722,0.0002001285,0.0004614662,0.0007403431,0.9948208,0.001025265,0.002533943],"study_design_scores_gemma":[0.00002183287,0.00003606685,0.0001939287,0.00001008994,0.0000029842,0.0000620603,0.0001181201,0.007663169,0.000623155,0.9879046,0.003347902,0.0000160778],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6387663,0.0006832395,0.1747392,0.004556844,0.0005215519,0.0001306627,0.0006897583,0.001003783,0.1789087],"genre_scores_gemma":[0.9597559,0.0001583194,0.01313466,0.0003829881,0.0002674937,0.00007014922,0.0002350472,0.0001400397,0.02585542],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009946979,"threshold_uncertainty_score":0.03327596,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2053706408","doi":"10.1515/crelle.2008.047","title":"Differential arcs and regular types in differential fields","year":2008,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":14,"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":"National Science Foundation","keywords":"Mathematics; Differential (mechanical device); Arc (geometry); Zero (linguistics); Pure mathematics; Variety (cybernetics); Type (biology); Combinatorics; Discrete mathematics; Geometry; Physics","authors":[{"name":"Rahim Moosa","is_ca":true},{"name":"Anand Pillay","is_ca":true},{"name":"Thomas Scanlon","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02405196112668024,"gpt":0.2795276892062479,"spread":0.2554757280795676,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008081783,0.0003309806,0.0003121289,0.001403212,0.0009706097,0.001907675,0.0004520514,0.0002870738,0.00450494],"category_scores_gemma":[0.001747053,0.000213564,0.0003790568,0.0008915582,0.00385848,0.003856609,0.002159301,0.001151825,0.0004028105],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001143656,"about_ca_system_score_gemma":0.0003225583,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003752607,"about_ca_topic_score_gemma":0.000216843,"domain_scores_codex":[0.9993777,0.0001186414,0.00003862287,0.0001540556,0.0002068382,0.0001043039],"domain_scores_gemma":[0.9988832,0.0003023234,0.0002095921,0.0001303055,0.0002014563,0.0002731444],"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":[0.00002722098,0.000007576638,0.0007968922,0.00002140827,0.000004071713,0.0000815765,0.0002295271,0.0006464323,0.0007672007,0.9926597,0.0002186914,0.004539672],"study_design_scores_gemma":[0.00001887876,0.00004712829,0.001348744,0.00002688995,0.00001580625,0.0004014196,0.0003879414,0.004365199,0.002453194,0.9770027,0.01391653,0.00001543753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7486157,0.001150239,0.1682052,0.0008448177,0.0002373817,0.00005241198,0.0003005835,0.0002548928,0.08033878],"genre_scores_gemma":[0.980276,0.0002924476,0.009583238,0.00006710872,0.00009118233,0.00001782197,0.0001118761,0.00002788164,0.009532408],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00450494,"threshold_uncertainty_score":0.01507056,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1993455468","doi":"10.1515/crelle.2006.027","title":"κ-types and Γ-asymptotic expansions","year":2006,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Public Health; University of Toronto","funders":"","keywords":"Mathematics; Geodetic datum; Type (biology); Pure mathematics; Element (criminal law); Domain (mathematical analysis); Character (mathematics); Field (mathematics); Representation (politics); Zero (linguistics); Irreducible representation; Mathematical analysis; Geometry","authors":[{"name":"Ju-Lee Kim","is_ca":false},{"name":"Fiona Murnaghan","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0162176823194824,"gpt":0.2959554536289123,"spread":0.27973777130943,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004465822,0.0002742287,0.0002526319,0.001002907,0.0007297675,0.001262456,0.0004357898,0.0002852546,0.002618072],"category_scores_gemma":[0.001503953,0.0001898917,0.0003842269,0.0004719,0.001921112,0.001947501,0.001785356,0.001421027,0.0003717909],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008763611,"about_ca_system_score_gemma":0.0002261209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005036572,"about_ca_topic_score_gemma":0.0004394398,"domain_scores_codex":[0.9996943,0.00005912687,0.00001567139,0.0000547144,0.00009584268,0.00008032814],"domain_scores_gemma":[0.9993619,0.0001688377,0.0001239097,0.00006503802,0.0001186253,0.0001616787],"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":[0.00003221202,0.00001037755,0.001146148,0.0000205949,0.000004320641,0.00008029214,0.0003430179,0.0009214973,0.002151635,0.9920225,0.0002286324,0.003038753],"study_design_scores_gemma":[0.0000311627,0.00009227588,0.003189459,0.0000437316,0.0000154601,0.0005561594,0.000766321,0.009658369,0.003784539,0.9738361,0.00800218,0.00002415669],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8772952,0.0003356453,0.05323769,0.0004011227,0.00006315389,0.00002671213,0.0001239019,0.0001256583,0.06839094],"genre_scores_gemma":[0.9864247,0.0001665594,0.005785975,0.00005559523,0.00003761804,0.00002208224,0.00007550186,0.00002233004,0.007409679],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002618072,"threshold_uncertainty_score":0.008758307,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2969517167","doi":"10.1515/crelle-2019-0021","title":"CD meets CAT","year":2019,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","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":"University of Toronto","funders":"","keywords":"Physics; Combinatorics; Mathematics","authors":[{"name":"Vitali Kapovitch","is_ca":true},{"name":"C. Ketterer","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02593458372422785,"gpt":0.3176153020175381,"spread":0.2916807182933103,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008378348,0.001250392,0.001171344,0.002084634,0.003340006,0.007838096,0.002399428,0.002192933,0.3647489],"category_scores_gemma":[0.003197384,0.0008180766,0.001034557,0.002329975,0.001694674,0.01509642,0.008361751,0.002951019,0.2627591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002677829,"about_ca_system_score_gemma":0.001416833,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003392805,"about_ca_topic_score_gemma":0.00284618,"domain_scores_codex":[0.9979088,0.0002497232,0.000162427,0.0008359205,0.0005384279,0.0003047665],"domain_scores_gemma":[0.9982133,0.000218742,0.00007576954,0.0006452811,0.0006061335,0.0002407391],"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":[0.0002565159,0.00006080207,0.0008003345,0.0002838933,0.00001916242,0.0004616741,0.0003912816,0.0004770996,0.001971304,0.5899393,0.3255358,0.07980273],"study_design_scores_gemma":[0.00002073634,0.00001857392,0.0003044348,0.00004620767,0.00001156276,0.0003610532,0.000185515,0.0009162627,0.002042684,0.09935915,0.8967097,0.00002418438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.009341757,0.0006363302,0.07042638,0.003756712,0.002161513,0.0001780074,0.0110455,0.01199579,0.8904579],"genre_scores_gemma":[0.1238672,0.001020181,0.03066945,0.002587224,0.0009832373,0.0003229961,0.0241483,0.007402854,0.8089986],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.3647489,"threshold_uncertainty_score":0.9061086,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2328973974","doi":"10.1515/crelle-2014-0088","title":"Modular <i>p</i>-adic <i>L</i>-functions attached to real quadratic fieldsand arithmetic applications","year":2014,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","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":"McGill University; University of Calgary","funders":"","keywords":"Physics","authors":[{"name":"Matthew Greenberg","is_ca":true},{"name":"M. Seveso","is_ca":false},{"name":"Shahab Shahabi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02360420800631827,"gpt":0.3188729386206203,"spread":0.295268730614302,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008106897,0.001093288,0.0004308932,0.001839946,0.001367706,0.002597352,0.0008235128,0.0005362176,0.01911381],"category_scores_gemma":[0.001436994,0.000347962,0.000729521,0.001321381,0.002260286,0.002887374,0.001929387,0.002095906,0.004445435],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002037722,"about_ca_system_score_gemma":0.0006370716,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000828372,"about_ca_topic_score_gemma":0.0006406032,"domain_scores_codex":[0.9994953,0.000104454,0.00002628986,0.000102192,0.0001328372,0.0001388707],"domain_scores_gemma":[0.9993418,0.0001185175,0.0001011036,0.00008544512,0.0001937494,0.0001593576],"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":[0.00006223926,0.00002940047,0.0002923768,0.00007017891,0.000007473467,0.000175723,0.000296885,0.0008895248,0.002357737,0.9667759,0.007129068,0.02191348],"study_design_scores_gemma":[0.00002774037,0.00007701646,0.0006533844,0.00004118767,0.000011222,0.000362281,0.0002152528,0.004049555,0.002929352,0.9649056,0.02669214,0.00003520641],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3008665,0.002720985,0.2045778,0.004923073,0.001587804,0.00009473466,0.0006573939,0.00113255,0.4834391],"genre_scores_gemma":[0.8704454,0.001188392,0.02508942,0.0005712092,0.000993359,0.00006902449,0.0004583472,0.0003441854,0.1008406],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01911381,"threshold_uncertainty_score":0.06394207,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2397490062","doi":"10.1515/crelle-2017-0014","title":"Splitting theorems for Poisson and related structures","year":2017,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":11,"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; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Poisson distribution; Symplectic geometry; Manifold (fluid mechanics); Mathematics; Poisson manifold; Equivariant map; Pure mathematics; Product (mathematics); Dirac (video compression format); Point (geometry); Poisson algebra; Poisson bracket; Geometry; Lie algebra; Physics; Quantum mechanics","authors":[{"name":"Henrique Bursztyn","is_ca":false},{"name":"Hudson Lima","is_ca":false},{"name":"Eckhard Meinrenken","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04397376167006493,"gpt":0.3677634423266133,"spread":0.3237896806565484,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001329982,0.0004943002,0.0004917882,0.002528135,0.001126073,0.001628647,0.0007181318,0.0007924738,0.006123191],"category_scores_gemma":[0.002083757,0.0002506088,0.0006307155,0.0006824814,0.002878685,0.004265716,0.003554895,0.001916685,0.0005222418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009080505,"about_ca_system_score_gemma":0.0002786352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005804147,"about_ca_topic_score_gemma":0.0003467356,"domain_scores_codex":[0.9992969,0.000132315,0.00004378997,0.00015094,0.0002955408,0.00008046377],"domain_scores_gemma":[0.9987589,0.0002659194,0.0002147382,0.0001365838,0.0003318722,0.0002920172],"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":[0.000009289194,0.000009245745,0.0003565274,0.00001819829,0.000006692689,0.0001387417,0.0003407531,0.0004445759,0.001120751,0.9952048,0.0003240042,0.002026458],"study_design_scores_gemma":[0.000007744055,0.00001814901,0.0004201065,0.00001250726,0.000005408614,0.0002852652,0.0002540364,0.004851681,0.0006343422,0.9911306,0.002373653,0.000006557294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7001913,0.002270219,0.1813568,0.002669812,0.0003822453,0.00007879122,0.0003243136,0.0002450636,0.1124814],"genre_scores_gemma":[0.9780641,0.000536754,0.01149874,0.0002616531,0.0002850614,0.00003460123,0.0001852907,0.00005705496,0.009076808],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006123191,"threshold_uncertainty_score":0.02048409,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2122690856","doi":"10.1515/crelle-2014-0086","title":"Derived Reid's recipe for abelian subgroups of SL<sub>3</sub>(ℂ)","year":2014,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Finite Group Theory Research","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 British Columbia","funders":"Engineering and Physical Sciences Research Council; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Abelian group; Mathematics; Equivariant map; Recipe; Equivalence (formal languages); Pure mathematics; Combinatorics; Algebra over a field; History","authors":[{"name":"Sabin Cautis","is_ca":true},{"name":"Alastair Craw","is_ca":false},{"name":"Timothy Logvinenko","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0472347141568764,"gpt":0.339966766795442,"spread":0.2927320526385656,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001462737,0.000679678,0.0005718144,0.001755112,0.001683471,0.001703488,0.001681596,0.001059879,0.01929039],"category_scores_gemma":[0.001898549,0.0004740375,0.001667139,0.0006670102,0.002387013,0.00444016,0.004245859,0.002891012,0.005174312],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001410903,"about_ca_system_score_gemma":0.0005214337,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001424133,"about_ca_topic_score_gemma":0.002020434,"domain_scores_codex":[0.9987683,0.0002574986,0.00009542899,0.0002990539,0.0004140146,0.0001656794],"domain_scores_gemma":[0.9994432,0.0001419523,0.00002527161,0.0001615457,0.0001607568,0.00006727692],"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":[0.000019515,0.0000197284,0.00009415934,0.00004770034,0.000009591299,0.0001713243,0.0005442505,0.0002285094,0.001545917,0.9817504,0.004727124,0.01084175],"study_design_scores_gemma":[0.00002135999,0.00004386967,0.0003121552,0.00001989759,0.00002073727,0.0003336733,0.0003825317,0.001643127,0.005807519,0.891415,0.09996159,0.00003862277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0720764,0.00103225,0.4898581,0.003003576,0.00208281,0.0002591737,0.0008385263,0.002594196,0.4282551],"genre_scores_gemma":[0.6448961,0.0007201508,0.2359932,0.001435259,0.0004604919,0.0002562372,0.000886524,0.002081981,0.11327],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01929039,"threshold_uncertainty_score":0.06453276,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2982231294","doi":"10.1515/crelle-2022-0020","title":"Curvature measures of pseudo-Riemannian manifolds","year":2022,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"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; Ministerio de Ciencia e Innovación; Israel Science Foundation; Deutsche Forschungsgemeinschaft","keywords":"Scalar curvature; Sectional curvature; Mathematics; Pure mathematics; Signature (topology); Curvature; Embedding; Riemann curvature tensor; Ricci-flat manifold; Riemannian manifold; Lipschitz continuity; Gaussian curvature; Riemannian geometry; Mathematical analysis; Geometry; Computer science","authors":[{"name":"Andreas Bernig","is_ca":false},{"name":"Dmitry Faifman","is_ca":false},{"name":"Gil Solanes","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04755993918218332,"gpt":0.3156675519716263,"spread":0.268107612789443,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008632117,0.0007115544,0.0004948615,0.002695799,0.0006986091,0.00170247,0.0006339055,0.0008989024,0.00169433],"category_scores_gemma":[0.002915371,0.0002880528,0.0004826411,0.0008429451,0.00267851,0.002338573,0.001820484,0.0007567497,0.0002100398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001494882,"about_ca_system_score_gemma":0.0003217109,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009619706,"about_ca_topic_score_gemma":0.0005301042,"domain_scores_codex":[0.9992821,0.0001649018,0.00003851575,0.0001506426,0.0002646095,0.00009935461],"domain_scores_gemma":[0.9984202,0.0001897019,0.0004308699,0.0001785686,0.000401849,0.000378811],"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":[0.00003273997,0.00001273439,0.001681908,0.00004112092,0.00002013752,0.0001353034,0.000268805,0.005142734,0.006402873,0.9802673,0.0005847141,0.005409557],"study_design_scores_gemma":[0.00001690317,0.0001304744,0.01352411,0.00004578179,0.00002811112,0.0006796853,0.0002675949,0.06517211,0.004327198,0.909579,0.006143122,0.00008594736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8930476,0.000867589,0.09328949,0.0007591174,0.0001254242,0.00003584644,0.0001551637,0.0002036114,0.01151617],"genre_scores_gemma":[0.9911308,0.0002877765,0.004928889,0.00007827914,0.00009369582,0.00001985856,0.00008927329,0.0000428416,0.003328539],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002695799,"threshold_uncertainty_score":0.0108462,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2493093864","doi":"10.1515/crelle-2018-0041","title":"Dehn functions and Hölder extensions in asymptotic cones","year":2019,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"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; Deutsche Forschungsgemeinschaft; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Dehn surgery; Mathematics; Sobolev space; Pure mathematics; Invariant (physics); Isometry (Riemannian geometry); Quadratic equation; Function (biology); Mathematical proof; Mathematical analysis; Knot (papermaking); Geometry","authors":[{"name":"Alexander Lytchak","is_ca":false},{"name":"Stefan Wenger","is_ca":false},{"name":"Robert M. Young","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04479984432451588,"gpt":0.3365208738839722,"spread":0.2917210295594563,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001174092,0.0004444373,0.0003744162,0.001436335,0.0006137193,0.001391307,0.0005280011,0.0004431152,0.002128611],"category_scores_gemma":[0.003083301,0.0001867363,0.0003808482,0.0004951491,0.001896397,0.002634083,0.001581085,0.001144279,0.0001480369],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007538379,"about_ca_system_score_gemma":0.0002321313,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005462593,"about_ca_topic_score_gemma":0.0003218751,"domain_scores_codex":[0.9994734,0.0001274856,0.00002517481,0.00008886396,0.0002031356,0.00008196969],"domain_scores_gemma":[0.9983626,0.0005285635,0.0003288756,0.0001034835,0.0004023251,0.0002742559],"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":[0.00004783558,0.00003323164,0.001121313,0.00003893407,0.000007390815,0.0002023775,0.0001962866,0.005553703,0.005653882,0.9802842,0.0003582079,0.006502761],"study_design_scores_gemma":[0.00002080982,0.0001274622,0.003597368,0.00003362072,0.00000862755,0.0006845984,0.0003600933,0.0862729,0.003660968,0.9007469,0.004456996,0.00002957737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8215216,0.001260701,0.1386452,0.0006296225,0.00009177118,0.00002838336,0.0001311301,0.00008795879,0.03760358],"genre_scores_gemma":[0.9887034,0.0002703883,0.006291483,0.00005394668,0.00007526694,0.00001757933,0.00005538046,0.00001526894,0.004517033],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002128611,"threshold_uncertainty_score":0.007120907,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1606690693","doi":"10.1515/crelle-2012-0114","title":"The γ-filtration and the Rost invariant","year":2013,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic Geometry and Number Theory","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 Ottawa","funders":"","keywords":"Torsion (gastropod); Invariant (physics); Projective variety; Projective test; Algebraic number; Algebraic variety; Algebraic group","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.01965259360673174,"gpt":0.2823949715812198,"spread":0.2627423779744881,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001141959,0.0006510445,0.0005595885,0.002409038,0.002097839,0.003400622,0.0004771015,0.0007341428,0.008468927],"category_scores_gemma":[0.001180535,0.0003411966,0.001315671,0.0006229541,0.004478212,0.003974572,0.002402697,0.001728441,0.0009777672],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002256914,"about_ca_system_score_gemma":0.0008605517,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001422331,"about_ca_topic_score_gemma":0.0009306552,"domain_scores_codex":[0.9990172,0.0001334047,0.0000558833,0.0002562657,0.0002169033,0.0003203288],"domain_scores_gemma":[0.9991456,0.0001634908,0.000149662,0.00008352377,0.0001651865,0.0002924132],"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":[0.00003612279,0.00001959201,0.0003099918,0.00002369693,0.000009012344,0.0001448823,0.0002647005,0.0002349549,0.001337565,0.9941981,0.0006652592,0.002756141],"study_design_scores_gemma":[0.00003762623,0.00008897515,0.001801419,0.00004416518,0.00001899546,0.0002747879,0.0003072224,0.001800774,0.003030257,0.980171,0.01238288,0.00004202456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6657926,0.002427332,0.0522953,0.003292776,0.0005820641,0.000101798,0.0006271771,0.0004978323,0.2743831],"genre_scores_gemma":[0.9733734,0.0004357591,0.004853672,0.0002581654,0.0002510488,0.00003195855,0.0002498758,0.00004423649,0.02050182],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008468927,"threshold_uncertainty_score":0.0283314,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2168208639","doi":"10.1515/crelle.2010.072","title":"Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones","year":2010,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Trinity College","funders":"Ministerio de Economía y Competitividad; European Commission","keywords":"Mathematics; Hardy space; Bergman space; Pure mathematics; Type (biology); Projection (relational algebra); Duality (order theory); Space (punctuation); Mathematical analysis; Besov space; Cone (formal languages); Dual (grammatical number); Operator (biology); Unit disk; Interpolation space; Functional analysis; Bounded function; Computer science","authors":[{"name":"David Békollè","is_ca":false},{"name":"Aline Bonami","is_ca":false},{"name":"Gustavo Garrigós","is_ca":false},{"name":"Fulvio Ricci","is_ca":false},{"name":"Benoît F. Sehba","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0285107016525518,"gpt":0.3128393035400396,"spread":0.2843286018874878,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00109756,0.0007679855,0.0004385161,0.001143437,0.0007630771,0.002022541,0.000750136,0.0009360786,0.003117531],"category_scores_gemma":[0.002709697,0.0002606833,0.0005527489,0.0006868728,0.002435024,0.003665852,0.001663744,0.002035129,0.0002260565],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008532266,"about_ca_system_score_gemma":0.0005607102,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006982004,"about_ca_topic_score_gemma":0.0005854225,"domain_scores_codex":[0.9994645,0.0002109684,0.00002844314,0.00006315552,0.0001514693,0.00008149505],"domain_scores_gemma":[0.9987361,0.0005424428,0.0002243327,0.00005352832,0.000205044,0.000238686],"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":[0.00001600819,0.000008245952,0.0001372053,0.00002357361,0.000004469918,0.00008667382,0.00009077744,0.00248346,0.001412437,0.9942598,0.0002187608,0.001258472],"study_design_scores_gemma":[0.00001138742,0.0000531984,0.000586908,0.0000311363,0.00000836414,0.0001448524,0.0002388798,0.06211473,0.00174995,0.9328085,0.002232245,0.00001984507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4230377,0.001930289,0.5303887,0.00153935,0.0001850649,0.00007521451,0.0002970908,0.0000914247,0.04245524],"genre_scores_gemma":[0.9407791,0.00114732,0.04577167,0.0002174282,0.0001819521,0.0001064735,0.0002485122,0.00003502404,0.01151249],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003117531,"threshold_uncertainty_score":0.0104292,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2029461183","doi":"10.1515/crelle-2012-0064","title":"On the number of integers in a generalized multiplication table","year":2012,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":8,"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":"","keywords":"Multiplication (music); Table (database); Order (exchange); Natural number; Multiplication algorithm; Prime number","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.0380263259884183,"gpt":0.3443773132782273,"spread":0.306350987289809,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002550441,0.00073743,0.001294597,0.001537676,0.001861009,0.005708166,0.001254699,0.001301559,0.009074384],"category_scores_gemma":[0.01185017,0.0006309105,0.001024263,0.002409067,0.003221622,0.009390821,0.002372432,0.002090543,0.001059436],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001914921,"about_ca_system_score_gemma":0.0008380297,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000974768,"about_ca_topic_score_gemma":0.0007501571,"domain_scores_codex":[0.9979469,0.0006852762,0.0001375349,0.0005538264,0.000410188,0.0002662953],"domain_scores_gemma":[0.9929335,0.004863929,0.0008285298,0.0004940833,0.000355422,0.0005244859],"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":[0.0003558443,0.00003788363,0.001559896,0.0001861988,0.00003839718,0.0002384298,0.0003282645,0.009684138,0.001017431,0.9653089,0.005102555,0.01614213],"study_design_scores_gemma":[0.00006627825,0.00005983625,0.0004048772,0.0000444714,0.00002955459,0.0002268441,0.0001293574,0.02589319,0.0006938535,0.9658792,0.006544371,0.00002805632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7331956,0.002656754,0.1937838,0.005674905,0.0005705061,0.0001012431,0.001354438,0.0004953982,0.06216739],"genre_scores_gemma":[0.9412084,0.0007402631,0.03971013,0.00056825,0.0004492583,0.0001023668,0.0009940234,0.0001307031,0.01609655],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009074384,"threshold_uncertainty_score":0.03035688,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2598713828","doi":"10.1515/crelle-2021-0016","title":"The nondegenerate generalized Kähler Calabi–Yau problem","year":2021,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"National Science Foundation","keywords":"Mathematics; Uniqueness; Pure mathematics; Conjecture; Calabi–Yau manifold; Monotone polygon; Hamiltonian (control theory); Mathematical analysis; Fibration; Flow (mathematics); Geometry; Homotopy; Mathematical optimization","authors":[{"name":"Vestislav Apostolov","is_ca":true},{"name":"Jeffrey Streets","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05502068177971945,"gpt":0.3400186679192304,"spread":0.2849979861395109,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006031702,0.0003962154,0.0005637967,0.000810458,0.0009152457,0.001075454,0.0006865453,0.001377944,0.002820187],"category_scores_gemma":[0.001617637,0.0002068518,0.00031169,0.0003534036,0.002134078,0.002123035,0.00126656,0.0009590234,0.0002052657],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009535708,"about_ca_system_score_gemma":0.0006014858,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001494786,"about_ca_topic_score_gemma":0.001065301,"domain_scores_codex":[0.9997881,0.00006779531,0.000009731306,0.0000475538,0.00004805213,0.00003875048],"domain_scores_gemma":[0.9996254,0.0001336772,0.00005600265,0.0000405479,0.00006774234,0.00007663414],"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":[0.000009916283,0.00001042521,0.0002699401,0.00002395663,0.000004615852,0.0001312215,0.00009940481,0.008259344,0.0006382241,0.9878875,0.0006679142,0.001997547],"study_design_scores_gemma":[0.00001353789,0.00001130279,0.0004916853,0.0000124247,0.000002604608,0.0001573464,0.0001604322,0.07622181,0.0005090942,0.920957,0.001452158,0.00001064706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8674485,0.0006915752,0.0950301,0.003728237,0.0001017476,0.00004657085,0.0001650098,0.00007132142,0.03271681],"genre_scores_gemma":[0.9805244,0.0002555097,0.01019386,0.0001621132,0.00009268148,0.00003897475,0.0001290182,0.00001947672,0.008583826],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002820187,"threshold_uncertainty_score":0.009434462,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2313223612","doi":"10.1515/crelle-2013-0107","title":"Mahler measure and elliptic curve <i>L</i>-functions at <i>s</i> = 3","year":2013,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":8,"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":"","keywords":"Measure (data warehouse); Mathematics; Elliptic curve; Connection (principal bundle); Pure mathematics; Variable (mathematics); Mathematical analysis; Geometry; Computer science","authors":[{"name":"Matilde Laĺın","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02525617630153109,"gpt":0.2806001911403348,"spread":0.2553440148388037,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000596524,0.0005463533,0.0004162325,0.003003249,0.001301326,0.001954086,0.00103902,0.001040497,0.003979995],"category_scores_gemma":[0.002393967,0.0001906271,0.000490793,0.000868506,0.003068,0.002432028,0.001274854,0.001685594,0.0005120743],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001380994,"about_ca_system_score_gemma":0.0004435036,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007884379,"about_ca_topic_score_gemma":0.0004113045,"domain_scores_codex":[0.9997371,0.00005696155,0.000009611254,0.00003909086,0.00007654641,0.00008071215],"domain_scores_gemma":[0.9986544,0.0004281039,0.000335709,0.00006079598,0.000171857,0.0003490542],"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":[0.00006590707,0.00002540326,0.001267304,0.00003184351,0.000007946049,0.0001758671,0.0002667664,0.001587561,0.00251652,0.9899876,0.0006021085,0.003465307],"study_design_scores_gemma":[0.00003746293,0.0000973852,0.002802488,0.0000535483,0.0000146544,0.0005245054,0.0004228847,0.02111064,0.005457293,0.966527,0.002878314,0.00007381086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9395449,0.0005471425,0.02013339,0.001345918,0.0001184688,0.00001631859,0.00007906766,0.0001307276,0.03808411],"genre_scores_gemma":[0.9960258,0.000129018,0.001573292,0.00006868268,0.00007554972,0.00001053588,0.0000274084,0.00001850877,0.002071276],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003979995,"threshold_uncertainty_score":0.01331437,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2108409334","doi":"10.1515/crelle-2015-0040","title":"Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation","year":2015,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"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":"Agence Nationale de la Recherche; National Science Foundation","keywords":"Foliation (geology); Ergodic theory; Geodesic; Mathematics; Boundary (topology); Pure mathematics; Limit (mathematics); Measure (data warehouse); Homotopy; Set (abstract data type); Surface (topology); Mathematical analysis; Limit set; Geometry; Geology; Computer science","authors":[{"name":"Christopher J. Leininger","is_ca":false},{"name":"Anna Lenzhen","is_ca":false},{"name":"Kasra Rafi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05936372930573666,"gpt":0.34759263719824,"spread":0.2882289078925033,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005688461,0.0004753837,0.0005839883,0.002482892,0.001509057,0.002075871,0.0007056786,0.0007605517,0.002663366],"category_scores_gemma":[0.00283361,0.0004036064,0.0005667314,0.000568428,0.001611468,0.00159961,0.00198741,0.0007631533,0.000326274],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001182813,"about_ca_system_score_gemma":0.0003779004,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008407255,"about_ca_topic_score_gemma":0.0009004926,"domain_scores_codex":[0.9995577,0.00008857954,0.00003465504,0.00008568262,0.0001712879,0.00006197616],"domain_scores_gemma":[0.9992222,0.0001968261,0.0001369637,0.0001009989,0.0001363442,0.0002066796],"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":[0.00004926606,0.00002842504,0.001367203,0.00004728248,0.00002223147,0.0004135185,0.0003914474,0.006755994,0.008856224,0.9771395,0.000290273,0.004638657],"study_design_scores_gemma":[0.00003453222,0.0001143238,0.002217812,0.00005454199,0.00002594628,0.0007508366,0.0003388578,0.09499082,0.01270107,0.8841971,0.00453244,0.0000417995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9038494,0.0002659557,0.08139805,0.0001477499,0.00002307196,0.00003932634,0.0001104341,0.0001291067,0.0140369],"genre_scores_gemma":[0.967389,0.0001557247,0.02763017,0.00002773326,0.00002321585,0.00007159098,0.0002223409,0.00008723857,0.00439305],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002663366,"threshold_uncertainty_score":0.008909881,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962969854","doi":"10.1515/crelle-2015-0100","title":"On dimensions of tangent cones in limit spaces with lower Ricci curvature bounds","year":2016,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ricci curvature; Tangent; Limit (mathematics); Mathematics; Curvature; Tangent cone; Mathematical analysis; Pure mathematics; Geometry","authors":[{"name":"Vitali Kapovitch","is_ca":true},{"name":"Nan Li","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02385476681342834,"gpt":0.297429489917702,"spread":0.2735747231042736,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002506996,0.0008828549,0.0008444513,0.00412435,0.001292478,0.003635227,0.00140009,0.0009489088,0.003698587],"category_scores_gemma":[0.007718888,0.0006514424,0.0007932959,0.001136394,0.003160273,0.004821258,0.002560014,0.00181456,0.000318529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001843104,"about_ca_system_score_gemma":0.0006501736,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001704322,"about_ca_topic_score_gemma":0.0009756195,"domain_scores_codex":[0.9988481,0.00032379,0.00006729415,0.000246036,0.0003239457,0.0001908205],"domain_scores_gemma":[0.9932987,0.002171193,0.001287883,0.0003941558,0.0009928065,0.001855396],"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":[0.0001048515,0.00005713379,0.003531824,0.00006177359,0.00002740339,0.0002414204,0.0004480777,0.005668766,0.00277133,0.9837354,0.0007825352,0.002569518],"study_design_scores_gemma":[0.00004088194,0.0001484532,0.008314428,0.00007452958,0.00004282842,0.0006253857,0.0004039141,0.1298093,0.002230975,0.8553748,0.00285949,0.0000751036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9144795,0.001191507,0.07073038,0.0007090449,0.00007962139,0.00004357346,0.0002688089,0.0001405123,0.01235714],"genre_scores_gemma":[0.9878718,0.00038736,0.008641019,0.0000692663,0.00007967699,0.00004363175,0.0002503942,0.00004754573,0.002609344],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00412435,"threshold_uncertainty_score":0.01337278,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2080266767","doi":"10.1515/crll.2005.2005.582.201","title":"Amenable operators on Hilbert spaces","year":2005,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; University of Regina","funders":"","keywords":"Subalgebra; Complement (music); Spectrum (functional analysis); Mathematics; Operator (biology); Hilbert space; Pure mathematics; Algebra over a field; Operator algebra; Discrete mathematics; Physics; Quantum mechanics; Complementation","authors":[{"name":"Douglas Farenick","is_ca":true},{"name":"Brian Forrest","is_ca":true},{"name":"Laurent W. Marcoux","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03290098458568496,"gpt":0.3490027068604357,"spread":0.3161017222747508,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008160263,0.0003987033,0.0003526157,0.0007354621,0.0008270555,0.001030025,0.0003412002,0.0003879224,0.003158166],"category_scores_gemma":[0.001314071,0.0001773025,0.000606275,0.0003807988,0.002502724,0.002213805,0.002022552,0.001117126,0.0003310668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005741303,"about_ca_system_score_gemma":0.0004279216,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000581103,"about_ca_topic_score_gemma":0.0004285705,"domain_scores_codex":[0.9993522,0.0002154195,0.0000264223,0.00007312531,0.0002395163,0.00009328114],"domain_scores_gemma":[0.9992193,0.0003016172,0.0001063343,0.00005459158,0.0001159592,0.0002022305],"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":[0.00001402341,0.0000114775,0.0001609307,0.00002957097,0.000006776565,0.00009846984,0.0004416918,0.00073323,0.002946705,0.9942216,0.0001750587,0.001160437],"study_design_scores_gemma":[0.00001259918,0.00004690707,0.0003936267,0.00001081005,0.000006523576,0.0001759709,0.0002016176,0.007009526,0.0009290078,0.9872968,0.003908224,0.000008308905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.679433,0.002799778,0.2258845,0.001556873,0.0002092928,0.00008886398,0.0001659736,0.0001949416,0.08966684],"genre_scores_gemma":[0.9661921,0.0008868698,0.01655705,0.0001730838,0.0003643339,0.00006829974,0.000102477,0.00003500363,0.01562085],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003158166,"threshold_uncertainty_score":0.01056504,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2312767651","doi":"10.1515/crelle-2017-0024","title":"Limit sets of Teichmüller geodesics with minimal nonuniquely ergodic vertical foliation, II","year":2017,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Mathematical Dynamics and Fractals","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Ergodic theory; Mathematics; Geodesic; Lamination; Pure mathematics; Limit (mathematics); Simplex; Limit set; Sequence (biology); Surface (topology); Foliation (geology); Vertex (graph theory); Limit of a sequence; Boundary (topology); Combinatorics; Mathematical analysis; Geometry; Geology","authors":[{"name":"Jeffrey Brock","is_ca":false},{"name":"Christopher J. Leininger","is_ca":false},{"name":"Babak Modami","is_ca":false},{"name":"Kasra Rafi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05386568597246151,"gpt":0.3529686759278978,"spread":0.2991029899554363,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005126254,0.0005373944,0.0005628229,0.002608514,0.00237311,0.003088338,0.0007959669,0.001006023,0.002765938],"category_scores_gemma":[0.002786227,0.0004587014,0.0007193345,0.0006423297,0.00207929,0.002176001,0.002222099,0.0009939896,0.0003981265],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002436617,"about_ca_system_score_gemma":0.0005262463,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002044354,"about_ca_topic_score_gemma":0.001778962,"domain_scores_codex":[0.9995829,0.00005735612,0.00003564564,0.00008373056,0.0001559618,0.00008438284],"domain_scores_gemma":[0.9992163,0.0001796071,0.0001516373,0.00006990264,0.0001648826,0.0002176999],"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":[0.00008727775,0.00006044716,0.003613797,0.00007827542,0.00003406209,0.0005916712,0.001019788,0.007107622,0.01112241,0.970463,0.0004819112,0.005339832],"study_design_scores_gemma":[0.0000604286,0.0002386558,0.008084401,0.0002157441,0.00005218355,0.001515958,0.001971793,0.1157238,0.0287263,0.8313476,0.01196786,0.00009531209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9588058,0.0003020884,0.02323798,0.0001197683,0.00001836747,0.00002860689,0.0001122408,0.00009611383,0.0172791],"genre_scores_gemma":[0.9801475,0.0001994317,0.01251308,0.00002673422,0.00001937527,0.00007201854,0.0003466687,0.00007314207,0.006602059],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003088338,"threshold_uncertainty_score":0.01767904,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2952409049","doi":"10.1515/crelle-2015-0110","title":"The space of compact self-shrinking solutions to the Lagrangian mean curvature flow in ℂ2{\\mathbb{C}^{2}}","year":2016,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mean curvature flow; Lagrangian; Mathematics; Mean curvature; Curvature; Geometry; Mathematical analysis","authors":[{"name":"Jingyi Chen","is_ca":true},{"name":"John Man Shun","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02906007332085864,"gpt":0.3011139664511135,"spread":0.2720538931302549,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061093,0.001034983,0.0007172751,0.001756901,0.001434693,0.002418806,0.001145354,0.001366879,0.007476312],"category_scores_gemma":[0.001604132,0.0003819914,0.0006371776,0.0005191232,0.001965976,0.001958259,0.001763125,0.001379876,0.0009583374],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001724352,"about_ca_system_score_gemma":0.001013958,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004737298,"about_ca_topic_score_gemma":0.003000659,"domain_scores_codex":[0.9997852,0.00005509103,0.000008309921,0.00003831528,0.00006197012,0.00005103588],"domain_scores_gemma":[0.9993855,0.0001010849,0.0001203366,0.00003488834,0.0001278977,0.0002302477],"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":[0.0003133892,0.0001003979,0.0008224712,0.0001217944,0.00005853443,0.0006047035,0.0003779037,0.02214797,0.006644571,0.9534808,0.006873892,0.008453532],"study_design_scores_gemma":[0.0001399824,0.0001523587,0.002107266,0.00005460104,0.00002773151,0.0003100046,0.000307114,0.1998905,0.001551551,0.7917812,0.003602037,0.00007586824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8772093,0.0007519804,0.06572793,0.00323331,0.000256245,0.00006261471,0.000536671,0.000800684,0.05142141],"genre_scores_gemma":[0.9601423,0.0002838452,0.008875499,0.0003251702,0.0002376014,0.0000595577,0.0005912246,0.0002635295,0.02922121],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007476312,"threshold_uncertainty_score":0.0250107,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963363991","doi":"10.1515/crelle-2019-0006","title":"Harnack inequalities for curvature flows in Riemannian and Lorentzian manifolds","year":2019,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Engineering and Physical Sciences Research Council","keywords":"Curvature; Curvature of Riemannian manifolds; Harnack's inequality; Sectional curvature; Harnack's principle; Scalar curvature; Pure mathematics; Mathematics; Riemann curvature tensor; Geology; Geometry","authors":[{"name":"Paul Bryan","is_ca":false},{"name":"Mohammad N. Ivaki","is_ca":true},{"name":"Julian Scheuer","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03197509928327086,"gpt":0.3225165655342621,"spread":0.2905414662509912,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003513186,0.0008822373,0.0007787629,0.003609695,0.001263588,0.002229264,0.001414765,0.001018407,0.004246125],"category_scores_gemma":[0.01191408,0.0004858817,0.001085582,0.0009799117,0.004397415,0.006639735,0.004670348,0.003422665,0.0004544288],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001988335,"about_ca_system_score_gemma":0.0007833085,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001078866,"about_ca_topic_score_gemma":0.001161159,"domain_scores_codex":[0.997986,0.0006558356,0.0001147181,0.0003949651,0.0005768239,0.0002717066],"domain_scores_gemma":[0.9916561,0.003733838,0.0008951511,0.0006065708,0.002162236,0.0009461165],"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":[0.00004848212,0.00001316275,0.0013951,0.0001064698,0.00002358134,0.0001496388,0.0002365404,0.002600195,0.003306616,0.9853901,0.001046759,0.00568335],"study_design_scores_gemma":[0.000009925158,0.00006147776,0.004622235,0.0000803752,0.00003099189,0.0003970501,0.0002321869,0.05218008,0.003226908,0.9329416,0.006141591,0.00007552934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3461553,0.007606486,0.5533653,0.00516495,0.000736937,0.00009394369,0.0005247279,0.000309944,0.08604255],"genre_scores_gemma":[0.9563649,0.001344871,0.03276359,0.0008153144,0.0003496612,0.00008454969,0.000208496,0.00009924202,0.007969302],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004246125,"threshold_uncertainty_score":0.01857972,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3211763402","doi":"10.1515/crelle-2021-0065","title":"Nonnegative Ricci curvature and escape rate gap","year":2021,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Ricci curvature; Curvature; Ricci flow; Mathematics; Physics; Psychology; Geometry","authors":[{"name":"Jiayin Pan","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03923147936020108,"gpt":0.3286172866482373,"spread":0.2893858072880362,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001190696,0.001066636,0.0009770669,0.001893779,0.001152009,0.002022228,0.001118886,0.001070761,0.006217977],"category_scores_gemma":[0.004444817,0.0003598843,0.0008319927,0.0004446725,0.002570665,0.003272101,0.003785218,0.001453499,0.001001558],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001226201,"about_ca_system_score_gemma":0.0004537487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007017366,"about_ca_topic_score_gemma":0.0003833806,"domain_scores_codex":[0.9990488,0.000189194,0.00004213239,0.000175381,0.0002710996,0.0002734209],"domain_scores_gemma":[0.9972703,0.0005872595,0.000454264,0.0003988437,0.0004119552,0.0008773872],"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":[0.0004518834,0.00008646128,0.00440932,0.0001960267,0.0000508396,0.0006474583,0.000426852,0.01775995,0.01068995,0.9487136,0.004338145,0.0122295],"study_design_scores_gemma":[0.0000564109,0.0001907674,0.005812367,0.00008612165,0.00004910514,0.001239594,0.0003063327,0.1147734,0.008009325,0.8622728,0.007107216,0.00009663066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.877123,0.001330442,0.05397042,0.001166014,0.0002011959,0.00004625314,0.0002501521,0.0005953342,0.06531721],"genre_scores_gemma":[0.9908721,0.0002221028,0.003142457,0.0001052243,0.00005081335,0.00002597263,0.0001803934,0.0001001642,0.005300797],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006217977,"threshold_uncertainty_score":0.02080125,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3068604750","doi":"10.1515/crelle-2022-0083","title":"Smooth Hilbert schemes: Their classification and geometry","year":2022,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Hilbert scheme; Hilbert R-tree; Mathematics; Hilbert manifold; Hilbert space; Polynomial; Scheme (mathematics); Projective Hilbert space; Hilbert curve; Hilbert series and Hilbert polynomial; Flag (linear algebra); Reproducing kernel Hilbert space; Rigged Hilbert space; Hilbert–Poincaré series; Hilbert's fourteenth problem; Pure mathematics; Algebra over a field; Mathematical analysis; Geometry","authors":[{"name":"Roy Skjelnes","is_ca":false},{"name":"Gregory G. Smith","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04016203834389737,"gpt":0.3074514255643658,"spread":0.2672893872204685,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009462765,0.0004390807,0.0004723791,0.003212831,0.001022881,0.002953702,0.0006189086,0.0006955456,0.003230772],"category_scores_gemma":[0.00224658,0.0003393226,0.0003367511,0.002233919,0.004860283,0.004096735,0.002657872,0.001120169,0.0002792463],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001413282,"about_ca_system_score_gemma":0.0004161714,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009916088,"about_ca_topic_score_gemma":0.0004641881,"domain_scores_codex":[0.9992668,0.000166737,0.00005355886,0.0001314912,0.0002194123,0.0001619991],"domain_scores_gemma":[0.9986234,0.0003936632,0.0003414371,0.0001806411,0.000165636,0.0002952619],"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":[0.00008244901,0.00002277045,0.007432208,0.00005211283,0.00001681242,0.0001302825,0.0008510007,0.002447222,0.002402904,0.9772781,0.0006668805,0.008617356],"study_design_scores_gemma":[0.00005345477,0.0001117741,0.01761616,0.00006483442,0.00002452578,0.0005945984,0.001078576,0.01427378,0.002215817,0.9560148,0.007888012,0.00006367738],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9625579,0.0008442358,0.02578819,0.0005164299,0.00003800396,0.0000327599,0.0003593275,0.00009929742,0.009763991],"genre_scores_gemma":[0.9939516,0.0002173245,0.003399276,0.00001936298,0.00003436124,0.0000138385,0.0002450502,0.00001127986,0.002107878],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003230772,"threshold_uncertainty_score":0.01080805,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2763413341","doi":"10.1515/crelle.2011.084","title":"Riemann–Hilbert problem for Hurwitz Frobenius manifolds: Regular singularities","year":2011,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Sherbrooke; Concordia University","funders":"","keywords":"Monodromy; Meromorphic function; Mathematics; Pure mathematics; Gravitational singularity; Riemann surface; Homology (biology); Space (punctuation); Inverse; Algebra over a field; Mathematical analysis; Geometry","authors":[{"name":"D. Korotkin","is_ca":true},{"name":"Vasilisa Shramchenko","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04285053518052803,"gpt":0.3032001787627157,"spread":0.2603496435821876,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007322772,0.0005093558,0.0006639953,0.001262653,0.001022041,0.001321211,0.000644013,0.001158704,0.003595378],"category_scores_gemma":[0.002271601,0.0002067228,0.0004588377,0.0004397555,0.002766116,0.002799102,0.001531197,0.001358787,0.0002438614],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001039339,"about_ca_system_score_gemma":0.0006250452,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007740278,"about_ca_topic_score_gemma":0.0004758645,"domain_scores_codex":[0.9997374,0.00007233876,0.00000953266,0.00004238155,0.00009098867,0.00004736858],"domain_scores_gemma":[0.9995553,0.0001717913,0.00006586411,0.00003825192,0.00006268408,0.0001061251],"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":[0.00003163705,0.00002420807,0.0005584885,0.00003613368,0.00001041186,0.0002226209,0.0003153345,0.004466376,0.00183914,0.9894925,0.0003593711,0.002643778],"study_design_scores_gemma":[0.00003297319,0.00004079894,0.0007826164,0.00001481065,0.000006789468,0.0003586478,0.0003392933,0.05460494,0.001687189,0.9411159,0.0009994225,0.00001648737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9354905,0.0003069532,0.0499224,0.0009553962,0.00005294647,0.00002837671,0.00005378261,0.00005044277,0.01313922],"genre_scores_gemma":[0.9877594,0.0001270073,0.006167426,0.00005004183,0.00006525391,0.00001425889,0.000065001,0.00001364268,0.005737935],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003595378,"threshold_uncertainty_score":0.01202774,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2803013808","doi":"10.1515/crelle-2018-0007","title":"Maximal time existence of unnormalized conical Kähler–Ricci flow","year":2018,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Ricci flow; Conical surface; Mathematics; Flow (mathematics); Physics; Combinatorics; Geometry; Ricci curvature","authors":[{"name":"Liangming Shen","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04787957178947839,"gpt":0.3403689996837347,"spread":0.2924894278942564,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001001878,0.0006493293,0.0006308257,0.002163825,0.001634018,0.001900926,0.001102436,0.0008855446,0.00974731],"category_scores_gemma":[0.00395192,0.0004507238,0.0007521388,0.0005953512,0.0021754,0.004896244,0.002207386,0.001396901,0.0007120387],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001608996,"about_ca_system_score_gemma":0.0009325218,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001089067,"about_ca_topic_score_gemma":0.0008052879,"domain_scores_codex":[0.9993692,0.0001100227,0.0000358508,0.0001508481,0.00015788,0.0001761968],"domain_scores_gemma":[0.998331,0.000300411,0.0002349583,0.0001262473,0.0003839133,0.0006234309],"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":[0.00005076594,0.00002621631,0.0007122782,0.00006185251,0.00001023018,0.0001807922,0.0001429773,0.001703566,0.001919452,0.9908608,0.001376692,0.002954281],"study_design_scores_gemma":[0.00002013734,0.00004814608,0.001136571,0.00003781719,0.00001320027,0.0003198279,0.0001623826,0.03296199,0.001845775,0.9599133,0.00349852,0.00004241801],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7130017,0.001378931,0.1900287,0.002213717,0.000503866,0.0001126643,0.0006528401,0.0009246909,0.09118278],"genre_scores_gemma":[0.9748039,0.0003280961,0.01180213,0.0001848013,0.0001883275,0.00006946982,0.0003536272,0.0001504608,0.01211908],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00974731,"threshold_uncertainty_score":0.03260797,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W831401716","doi":"10.1515/crelle-2017-0018","title":"Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces","year":2017,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University; Université de Montréal","funders":"Agence Nationale de la Recherche; National Science Foundation","keywords":"Eigenfunction; Mathematics; Boundary (topology); Mathematical analysis; Harmonic function; Function (biology); Harmonic; Argument (complex analysis); NODAL; Pure mathematics; Physics; Eigenvalues and eigenvectors; Quantum mechanics","authors":[{"name":"Iosif Polterovich","is_ca":true},{"name":"David A. Sher","is_ca":false},{"name":"John A. Toth","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04106577645177934,"gpt":0.3279959933231133,"spread":0.286930216871334,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001334045,0.001365209,0.0007606344,0.002064457,0.0006227324,0.001430851,0.001401454,0.001200528,0.004775429],"category_scores_gemma":[0.009746233,0.0004485646,0.0005168781,0.000410942,0.002707081,0.00333323,0.002790636,0.002357697,0.001070529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001158789,"about_ca_system_score_gemma":0.0003794493,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000784188,"about_ca_topic_score_gemma":0.000726238,"domain_scores_codex":[0.9995432,0.0001364781,0.00002037842,0.00007807861,0.000146396,0.00007550028],"domain_scores_gemma":[0.9958701,0.002196366,0.0003596679,0.0003433172,0.0006339314,0.00059661],"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":[0.000285319,0.00007490207,0.003876443,0.0002528177,0.00004526705,0.0003713656,0.0005082586,0.07772775,0.02005772,0.8809679,0.001784168,0.0140482],"study_design_scores_gemma":[0.00001589593,0.00008585102,0.001676832,0.0001053376,0.00001732684,0.0001604165,0.0001940228,0.486072,0.006194534,0.5037478,0.001678073,0.00005184997],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5524565,0.001661074,0.4135285,0.001230163,0.0001748341,0.00004405281,0.0002404197,0.0003906262,0.03027381],"genre_scores_gemma":[0.971474,0.0008759865,0.01903193,0.00009744904,0.0001119199,0.0000569884,0.0002094814,0.0002888152,0.007853423],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004775429,"threshold_uncertainty_score":0.01597542,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}