{"meta":{"query_hash":"5250edc0b367","filters":{"venue":"Advances in Mathematics"},"cohort_total":472,"direct_labels_cover":0,"predictions_cover":472,"exported":472,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/5250edc0b367","api":"https://metacan.xera.ac/api/v1/cohort?venue=Advances+in+Mathematics"},"results":[{"id":"W1454959490","doi":"10.1016/j.aim.2015.07.007","title":"Overconvergent generalised eigenforms of weight one and class fields of real quadratic fields","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Modular form; Pure mathematics; Field (mathematics); Quadratic field; Conjecture; Logarithm; Prime (order theory); Quadratic equation; Class (philosophy); Moduli; Ring of integers; Algebraic number; Ring (chemistry); Eigenvalues and eigenvectors; Algebraic number field; Algebra over a field; Combinatorics; Mathematical analysis; Quadratic function; Geometry","score_opus":0.03835363528400378,"score_gpt":0.3064105172039563,"score_spread":0.2680568819199525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1454959490","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9124123,0.0006200636,0.032624766,0.0011727156,0.00047801665,0.000037823207,0.000102879356,0.00015392851,0.052397523],"genre_scores_gemma":[0.97372663,0.0003828066,0.0044346377,0.00023943833,0.00043517078,0.000023915549,0.000116968695,0.0000812846,0.020559104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993057,0.0001617399,0.00003800652,0.00012527539,0.00019722573,0.0001719756],"domain_scores_gemma":[0.99847347,0.00034434584,0.00034289822,0.0001631388,0.00018400936,0.00049210683],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014921423,0.0013727014,0.001006681,0.0033527233,0.0020258296,0.0033273278,0.0013912899,0.001214568,0.0059502064],"category_scores_gemma":[0.0029799019,0.000659203,0.0008850241,0.001671098,0.0052622478,0.005675564,0.00303801,0.003105509,0.0006990103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007590607,0.000040624556,0.00056519854,0.000020374195,0.00000846877,0.0001894839,0.00048636,0.00058837165,0.0013928157,0.9921589,0.0004106867,0.0040628607],"study_design_scores_gemma":[0.000020031048,0.000029123692,0.00061016314,0.000010045,0.000006870927,0.00017807058,0.00016336047,0.0020079524,0.00028695547,0.99581146,0.00085984817,0.000016216518],"about_ca_topic_score_codex":0.00095664745,"about_ca_topic_score_gemma":0.0012879004,"teacher_disagreement_score":0.0059502064,"about_ca_system_score_codex":0.001629114,"about_ca_system_score_gemma":0.00071719306,"threshold_uncertainty_score":0.019905448},"labels":[],"label_agreement":null},{"id":"W1507724026","doi":"10.1016/j.aim.2011.08.005","title":"Monoidality of Frankeʼs exotic model","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics","score_opus":0.09223806930534004,"score_gpt":0.31445502126981717,"score_spread":0.22221695196447713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1507724026","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48720953,0.0018328084,0.076831535,0.0061518014,0.00055981736,0.00007050788,0.00056448526,0.00032410666,0.42645544],"genre_scores_gemma":[0.9732337,0.00036447198,0.007425885,0.0004832141,0.00025419507,0.000042824417,0.00017653748,0.00005369224,0.017965471],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993975,0.0001340751,0.00003571439,0.00016548677,0.00013298466,0.00013418985],"domain_scores_gemma":[0.9992532,0.00022614154,0.00008415998,0.00012984566,0.00016479596,0.00014183462],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094787,0.00053810794,0.0011153972,0.0019537227,0.004089971,0.0030909905,0.0010073958,0.0020161902,0.0074989884],"category_scores_gemma":[0.0019328983,0.00047508022,0.0010796192,0.0010645635,0.0041892524,0.006488072,0.0022686438,0.002833993,0.00065186375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006507164,0.0000049377904,0.000046806024,0.0000043509617,0.000001593892,0.000025191368,0.00009524828,0.00006668192,0.000085467014,0.99899644,0.00024867163,0.0004180823],"study_design_scores_gemma":[0.000009343538,0.000007643631,0.00015108238,0.0000048232237,0.000004487014,0.00010684846,0.00006187909,0.00081722863,0.000081138554,0.9965521,0.0021949017,0.000008559635],"about_ca_topic_score_codex":0.0030512663,"about_ca_topic_score_gemma":0.0023333381,"teacher_disagreement_score":0.0074989884,"about_ca_system_score_codex":0.0018390644,"about_ca_system_score_gemma":0.0007238891,"threshold_uncertainty_score":0.025086582},"labels":[],"label_agreement":null},{"id":"W1535191787","doi":"10.1016/j.aim.2014.12.031","title":"The Krzyż conjecture revisited","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation; Ministerio de Economía y Competitividad; Academy of Finland; Universidad Autónoma de Madrid; Michigan State University","keywords":"Conjecture; Bounded function; Mathematics; Unit disk; Function (biology); Analytic function; Unit (ring theory); Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.03732609053325507,"score_gpt":0.3326743521480013,"score_spread":0.2953482616147462,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1535191787","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18962279,0.018148135,0.067833304,0.22655654,0.0055195186,0.000039980478,0.00073627906,0.0007360695,0.49080738],"genre_scores_gemma":[0.9379676,0.0060261413,0.007868251,0.009086948,0.005168007,0.000045285175,0.00025154027,0.00020528086,0.03338107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889237,0.00028386997,0.000047212772,0.00026802064,0.0003434843,0.0001650423],"domain_scores_gemma":[0.99743795,0.0013114648,0.00026656312,0.00049944234,0.0003042282,0.0001803001],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002308648,0.00053305354,0.0011923125,0.0017237362,0.0025964663,0.0044005117,0.0013997463,0.002904965,0.013369129],"category_scores_gemma":[0.0074032946,0.0003482734,0.00064316497,0.0015935032,0.007460707,0.014315383,0.004039683,0.005902037,0.0017929127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013650595,0.000004164046,0.00008152095,0.000017359245,0.0000031056197,0.00002533806,0.000082177175,0.000075912365,0.000073364696,0.992971,0.0040245345,0.0026280063],"study_design_scores_gemma":[0.00000929222,0.0000023708033,0.00011094716,0.000008583825,0.0000025118431,0.000048687103,0.00006330423,0.00027773547,0.000053183452,0.9944739,0.004945215,0.0000043059968],"about_ca_topic_score_codex":0.0012790967,"about_ca_topic_score_gemma":0.00085132016,"teacher_disagreement_score":0.013369129,"about_ca_system_score_codex":0.0012523541,"about_ca_system_score_gemma":0.00074072724,"threshold_uncertainty_score":0.044724226},"labels":[],"label_agreement":null},{"id":"W1541244717","doi":"10.1016/j.aim.2015.04.029","title":"Decay estimates and a vanishing phenomenon for the solutions of critical anisotropic equations","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Sobolev space; Anisotropy; Critical exponent; Function (biology); Mathematical analysis; Class (philosophy); Sobolev inequality; Pure mathematics; Mathematical physics; Geometry; Physics; Quantum mechanics","score_opus":0.14773471356212878,"score_gpt":0.41179094124538557,"score_spread":0.26405622768325676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1541244717","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.411784,0.00530184,0.49457958,0.010300076,0.0012573065,0.00019251289,0.00040015407,0.00071666023,0.07546788],"genre_scores_gemma":[0.909267,0.0034180237,0.047179863,0.0012575135,0.001328709,0.00023155434,0.0005415412,0.00068608264,0.036089763],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989562,0.00040623988,0.00007722323,0.00013447525,0.00022260587,0.00020327089],"domain_scores_gemma":[0.98915064,0.0043542823,0.0013987375,0.0006671636,0.0027051775,0.0017239108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004798511,0.0021408175,0.0013271701,0.005778619,0.0019336776,0.0034129769,0.002339065,0.0020403399,0.0052723885],"category_scores_gemma":[0.026218576,0.0007344882,0.0015037439,0.0011722121,0.0054011205,0.008033161,0.0054030013,0.005378835,0.0006531389],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000096291194,0.00004732006,0.0007191088,0.00016040109,0.000028347165,0.00017201864,0.00052357855,0.0020742128,0.0060576987,0.9823282,0.0026604568,0.0051324163],"study_design_scores_gemma":[0.000057595586,0.00010711607,0.0017489874,0.00018369958,0.000081145365,0.000428822,0.0005349813,0.13370667,0.003843358,0.8535057,0.0056891767,0.00011274592],"about_ca_topic_score_codex":0.002830798,"about_ca_topic_score_gemma":0.0015224882,"teacher_disagreement_score":0.005778619,"about_ca_system_score_codex":0.0022338778,"about_ca_system_score_gemma":0.0014076601,"threshold_uncertainty_score":0.025377274},"labels":[],"label_agreement":null},{"id":"W1550696629","doi":"10.1016/j.aim.2016.02.008","title":"Resolutions in factorization categories","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"European Research Council; Austrian Science Fund; National Science Foundation","keywords":"Morphism; Factorization; Construct (python library); Lift (data mining); Abelian group; Mathematics; Algebra over a field; Pure mathematics; Matrix decomposition; Computer science; Algorithm; Data mining","score_opus":0.03322411852640995,"score_gpt":0.3349494892855135,"score_spread":0.30172537075910355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1550696629","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1477244,0.018729458,0.26902628,0.01831079,0.0024339505,0.0001073704,0.001755549,0.0010293849,0.5408829],"genre_scores_gemma":[0.86456084,0.0052471776,0.035577,0.0017533302,0.001996994,0.0001188457,0.001594858,0.00032482613,0.088826135],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99831367,0.0005226889,0.00008144027,0.00040999567,0.00047302747,0.0001992502],"domain_scores_gemma":[0.9989543,0.00040888367,0.000102407044,0.00015620854,0.0002148685,0.00016332605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012110157,0.0011635238,0.0011213035,0.003547122,0.0028418286,0.0062980824,0.0013304105,0.0018937098,0.016310876],"category_scores_gemma":[0.0030254493,0.0008782667,0.0010836992,0.0030542572,0.0045867413,0.010303923,0.003833736,0.0053554773,0.0023655333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007602026,0.0000084065105,0.00008013027,0.000018471945,0.000003984398,0.000025032637,0.00016656697,0.00019632469,0.00010449731,0.9946227,0.0017975171,0.0029687702],"study_design_scores_gemma":[0.000004406978,0.000002891275,0.000068068,0.00000850333,0.0000037020795,0.000052469164,0.000068343674,0.0006213905,0.00007731534,0.9919416,0.0071460144,0.0000053660215],"about_ca_topic_score_codex":0.0023129398,"about_ca_topic_score_gemma":0.0016808625,"teacher_disagreement_score":0.016310876,"about_ca_system_score_codex":0.0023700611,"about_ca_system_score_gemma":0.00084603636,"threshold_uncertainty_score":0.05456531},"labels":[],"label_agreement":null},{"id":"W1553877756","doi":"10.1016/j.aim.2016.03.014","title":"A combinatorial geometric Satake equivalence","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Morphism; Equivalence (formal languages); Mathematics; Pure mathematics; Affine transformation; Equivalence of categories; Langlands dual group; Grassmannian; Algebra over a field; Functor","score_opus":0.03781412698544205,"score_gpt":0.33694219991894564,"score_spread":0.2991280729335036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1553877756","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21481207,0.0013580254,0.14111637,0.01623287,0.0024591552,0.00014779773,0.0011998335,0.00062455965,0.6220492],"genre_scores_gemma":[0.9079029,0.0007852703,0.0233101,0.0038586454,0.0013766502,0.00013628052,0.0013157083,0.00037367738,0.060940802],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998085,0.00044298638,0.000105743995,0.00062096294,0.0004978407,0.00024747895],"domain_scores_gemma":[0.99859756,0.00055593834,0.00012691026,0.00029208502,0.00023478625,0.00019271427],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007325725,0.0008538646,0.0010541053,0.0016694234,0.0032436855,0.004512658,0.0016289583,0.002753381,0.029506596],"category_scores_gemma":[0.0038483944,0.00050387584,0.0011251277,0.0016084242,0.0050382237,0.01005704,0.005053895,0.0062896814,0.0024552282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021693942,0.00003364622,0.00013242544,0.00002000271,0.0000045615698,0.00005259925,0.00010237017,0.00023339674,0.00026298896,0.99348515,0.00256096,0.0030901358],"study_design_scores_gemma":[0.000011065802,0.0000062096733,0.00010831552,0.0000048988663,0.000004609689,0.000072107876,0.000046185403,0.00087747705,0.00015806024,0.9952113,0.0034951244,0.000004678563],"about_ca_topic_score_codex":0.001072362,"about_ca_topic_score_gemma":0.0009421966,"teacher_disagreement_score":0.029506596,"about_ca_system_score_codex":0.0015506305,"about_ca_system_score_gemma":0.0007588689,"threshold_uncertainty_score":0.098709404},"labels":[],"label_agreement":null},{"id":"W1576969938","doi":"10.1016/j.aim.2015.06.010","title":"Finite group actions on Kervaire manifolds","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Combinatorics","score_opus":0.06816893154469035,"score_gpt":0.3675800744081682,"score_spread":0.29941114286347786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1576969938","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7050392,0.0033064552,0.07272076,0.005644391,0.001046023,0.00006277347,0.00027386012,0.00048067386,0.2114258],"genre_scores_gemma":[0.9533085,0.0011589619,0.008702476,0.00039342785,0.0006646428,0.000043643304,0.00018230657,0.000107890766,0.035438087],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994375,0.00013837332,0.000026722757,0.000116441806,0.0001784024,0.00010266776],"domain_scores_gemma":[0.9992902,0.00021774856,0.00011169925,0.00008790574,0.00010075214,0.0001915703],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000829339,0.0011789162,0.0008060264,0.0030143016,0.00197496,0.0034983468,0.0010468604,0.0015447204,0.0070883096],"category_scores_gemma":[0.00190786,0.0004298546,0.0007676021,0.0012248958,0.0038931281,0.00587642,0.0030710907,0.002584164,0.0008498774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001758108,0.000018343395,0.00014036744,0.000015010199,0.0000047810545,0.000048716785,0.00025803322,0.0003022793,0.00040909782,0.99582916,0.0005555289,0.0024010502],"study_design_scores_gemma":[0.000010861921,0.000010216624,0.00018332989,0.000007688319,0.000004124104,0.000051322884,0.00011201303,0.0018647077,0.0002517495,0.9956312,0.0018658738,0.0000068931117],"about_ca_topic_score_codex":0.0013030594,"about_ca_topic_score_gemma":0.0013192808,"teacher_disagreement_score":0.0070883096,"about_ca_system_score_codex":0.0017067712,"about_ca_system_score_gemma":0.00061129045,"threshold_uncertainty_score":0.023712754},"labels":[],"label_agreement":null},{"id":"W1598244605","doi":"10.1016/j.aim.2015.07.020","title":"The limit of the smallest singular value of random matrices with i.i.d. entries","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Combinatorics; Mathematics; Singular value; Sequence (biology); Random matrix; Zero (linguistics); Integer (computer science); Random variable; Limit (mathematics); Distribution (mathematics); Unit (ring theory); Mathematical analysis; Physics; Statistics; Eigenvalues and eigenvectors","score_opus":0.023485549325936963,"score_gpt":0.30884302846328965,"score_spread":0.2853574791373527,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1598244605","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15485111,0.005817893,0.810354,0.0049951435,0.0008855205,0.00014258602,0.0016001029,0.0013631973,0.019990427],"genre_scores_gemma":[0.8506212,0.0087012425,0.10774634,0.0019469971,0.0024568299,0.000744871,0.0020896,0.0008668311,0.02482605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99660337,0.0010201648,0.00018808583,0.0010343321,0.0008023408,0.00035181895],"domain_scores_gemma":[0.95657456,0.027780645,0.0046333116,0.0032887077,0.0049409973,0.0027817811],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0064181085,0.002012036,0.0018671135,0.0031606578,0.00096968963,0.0040379665,0.0031059287,0.0025643676,0.0062276516],"category_scores_gemma":[0.05912143,0.0010701653,0.0010425394,0.0015530576,0.006956433,0.008069366,0.002707366,0.004283369,0.0016944509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00044565933,0.00017206934,0.002722487,0.0012569003,0.0002114411,0.000678063,0.00054857304,0.035175014,0.01220507,0.91343707,0.0077980338,0.025349636],"study_design_scores_gemma":[0.000071483635,0.00022592486,0.0037037756,0.00036230581,0.00010591804,0.0014929661,0.00022984011,0.28881472,0.0062193098,0.6931103,0.00543563,0.00022785799],"about_ca_topic_score_codex":0.0014000509,"about_ca_topic_score_gemma":0.0009453375,"teacher_disagreement_score":0.0064181085,"about_ca_system_score_codex":0.0015764011,"about_ca_system_score_gemma":0.0017366705,"threshold_uncertainty_score":0.03394258},"labels":[],"label_agreement":null},{"id":"W1617055173","doi":"10.1016/j.aim.2015.07.017","title":"Littlewood–Richardson coefficients for reflection groups","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Reflection (computer programming); Pure mathematics; Mathematical analysis","score_opus":0.07108785464588231,"score_gpt":0.39141479451228817,"score_spread":0.32032693986640587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1617055173","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24831419,0.0055308207,0.25275332,0.009667124,0.002718496,0.00012420023,0.0006274866,0.0011652248,0.47909912],"genre_scores_gemma":[0.81567734,0.0032913007,0.037266262,0.0013716724,0.0024679296,0.00014201073,0.00058044103,0.0008659704,0.13833702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991147,0.00025280815,0.000043814733,0.00014730889,0.00028099373,0.00016036503],"domain_scores_gemma":[0.99832255,0.0005732613,0.00023298762,0.0002088079,0.00028282008,0.00037963426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019312331,0.0021270197,0.0012899032,0.0055816295,0.0020084498,0.0036847724,0.002149389,0.0018737832,0.018265903],"category_scores_gemma":[0.005535561,0.0007550904,0.0010907629,0.0028194673,0.0046659973,0.008551952,0.0033419935,0.0054173055,0.0045101116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000148144045,0.000009759234,0.00007757501,0.000016249971,0.000004079723,0.000033387543,0.00014375335,0.00019445026,0.0003313115,0.9942542,0.0017292463,0.0031912273],"study_design_scores_gemma":[0.000013017122,0.000008803543,0.00015508235,0.000012156886,0.000007065323,0.00008204619,0.000062486535,0.0013412565,0.00031504565,0.9934174,0.0045703705,0.000015282421],"about_ca_topic_score_codex":0.0012826835,"about_ca_topic_score_gemma":0.0013249499,"teacher_disagreement_score":0.018265903,"about_ca_system_score_codex":0.002070474,"about_ca_system_score_gemma":0.0009286392,"threshold_uncertainty_score":0.06110555},"labels":[],"label_agreement":null},{"id":"W1621000845","doi":"10.1016/j.aim.2015.06.005","title":"Quantum deformations of projective three-space","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Engineering and Physical Sciences Research Council; University of Toronto","keywords":"Noncommutative geometry; Pure mathematics; Unimodular matrix; Projective space; Mathematics; Bimodule; Projective line; Space (punctuation); Quantization (signal processing); Complex projective space; Projective test; Algebra over a field; Computer science","score_opus":0.053123576551158624,"score_gpt":0.350389448379227,"score_spread":0.29726587182806835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1621000845","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64173204,0.002090795,0.09545875,0.009290911,0.0017503247,0.000082826475,0.00051914895,0.00061185367,0.2484634],"genre_scores_gemma":[0.9616162,0.00059898786,0.008025513,0.00064358034,0.00094565365,0.000038883045,0.00020502524,0.00014907755,0.02777709],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992501,0.00023562674,0.00003060422,0.00013105661,0.00023425394,0.00011825851],"domain_scores_gemma":[0.999433,0.00010075807,0.00010960669,0.00011607396,0.00008362257,0.00015697275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074393925,0.0010589558,0.0007537923,0.0020795737,0.002243752,0.0035892532,0.0013314277,0.0014815235,0.008533338],"category_scores_gemma":[0.0014994794,0.0005238281,0.0008284126,0.0014228304,0.0043399273,0.0045946357,0.002419202,0.0027090078,0.000828888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015033178,0.0000117217605,0.00006707963,0.0000072820253,0.000003997038,0.00003191359,0.000096866985,0.0005360317,0.00031983288,0.9971426,0.00050902704,0.0012585633],"study_design_scores_gemma":[0.000011198749,0.0000089364285,0.00014054694,0.0000037237553,0.0000023744872,0.00004881026,0.000054096497,0.0020183774,0.00013488143,0.99589086,0.0016785963,0.0000076196493],"about_ca_topic_score_codex":0.0018833481,"about_ca_topic_score_gemma":0.0017305928,"teacher_disagreement_score":0.008533338,"about_ca_system_score_codex":0.0021663485,"about_ca_system_score_gemma":0.0008889858,"threshold_uncertainty_score":0.02854681},"labels":[],"label_agreement":null},{"id":"W1621851219","doi":"10.1016/j.aim.2015.08.021","title":"A disjoint unions theorem for trees","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique","keywords":"Mathematics; Disjoint sets; Product (mathematics); Type (biology); Tree (set theory); Discrete mathematics; Product type; Combinatorics; Computer science; Geometry","score_opus":0.05131478679783009,"score_gpt":0.34915067218934687,"score_spread":0.2978358853915168,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1621851219","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04916282,0.009078717,0.7353005,0.009345737,0.0012945199,0.0000753989,0.00088343857,0.00076390523,0.19409496],"genre_scores_gemma":[0.6039471,0.009798284,0.2740529,0.0062815347,0.004879242,0.0006922576,0.0024421196,0.001334403,0.09657219],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99721634,0.00069941755,0.00016265444,0.00080017874,0.00087654195,0.00024494264],"domain_scores_gemma":[0.99045897,0.0070841387,0.00034312927,0.00080300187,0.0007633859,0.0005474893],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027049838,0.0010270155,0.0018528452,0.0032193505,0.004233392,0.00533042,0.002610083,0.0022561185,0.013576216],"category_scores_gemma":[0.011469046,0.0014129195,0.0027065456,0.003958136,0.007447121,0.022165664,0.007234822,0.010062505,0.002214914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013310315,0.000010189754,0.00008822943,0.000037800146,0.0000072028174,0.000027979353,0.00019845206,0.00023529779,0.0001888177,0.9929085,0.0017412229,0.0045431443],"study_design_scores_gemma":[0.000006327969,0.0000028287368,0.00004821938,0.000009310466,0.000005987385,0.00003763141,0.000040016046,0.00064153783,0.00011988379,0.99469674,0.0043871813,0.000004269058],"about_ca_topic_score_codex":0.0018865796,"about_ca_topic_score_gemma":0.001378786,"teacher_disagreement_score":0.013576216,"about_ca_system_score_codex":0.002263679,"about_ca_system_score_gemma":0.0010490202,"threshold_uncertainty_score":0.04541695},"labels":[],"label_agreement":null},{"id":"W1658169119","doi":"10.1016/j.aim.2009.03.013","title":"Separating invariants and finite reflection groups","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Subalgebra; Mathematics; Intersection (aeronautics); Polynomial ring; Algebra over a field; Pure mathematics; Ring (chemistry); Polynomial; Reflection (computer programming); Mathematical analysis; Computer science","score_opus":0.04404777523306796,"score_gpt":0.37460640224759,"score_spread":0.33055862701452204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1658169119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49546733,0.007411716,0.16095442,0.009934034,0.0016256215,0.00005172692,0.00027199383,0.0006781431,0.32360497],"genre_scores_gemma":[0.9525679,0.0017344586,0.0106677385,0.0006292466,0.001285352,0.000044591012,0.00024754897,0.000117897405,0.032705367],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994685,0.00014989308,0.000026474181,0.000108052525,0.00014017284,0.00010695501],"domain_scores_gemma":[0.99896955,0.0004373782,0.00018407954,0.00016600854,0.00011075609,0.00013221073],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00111342,0.00091597025,0.00076329627,0.0018766677,0.0018712307,0.0028320218,0.0010269011,0.0012896887,0.0062262267],"category_scores_gemma":[0.0022906666,0.00047019427,0.000806459,0.0013311374,0.0060766726,0.0063498546,0.0020801972,0.004083962,0.0009324267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010018896,0.0000065038453,0.000048027265,0.000005233827,0.000001962996,0.000015310685,0.00010871225,0.00012061107,0.00018885764,0.9978054,0.00035206985,0.0013372255],"study_design_scores_gemma":[0.0000067148662,0.0000045248257,0.000060970087,0.000002484271,0.0000030234078,0.000024417905,0.000039324426,0.00035131114,0.000116166804,0.9979704,0.0014168678,0.0000038320554],"about_ca_topic_score_codex":0.0007498865,"about_ca_topic_score_gemma":0.0006200127,"teacher_disagreement_score":0.0062262267,"about_ca_system_score_codex":0.0012651122,"about_ca_system_score_gemma":0.0005664922,"threshold_uncertainty_score":0.020828724},"labels":[],"label_agreement":null},{"id":"W1677005077","doi":"10.1016/j.aim.2010.10.025","title":"The normal distribution is ⊞-infinitely divisible","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University; University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; University of Saskatchewan","keywords":"Infinite divisibility; Mathematics; Cauchy distribution; Distribution (mathematics); Convolution (computer science); Pure mathematics; Mathematical analysis","score_opus":0.015861111078710542,"score_gpt":0.3280764688445718,"score_spread":0.3122153577658613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1677005077","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16946003,0.003443591,0.7119773,0.009088623,0.0012969574,0.00012767804,0.0009953297,0.00088775484,0.102722704],"genre_scores_gemma":[0.87417746,0.0041780844,0.048559725,0.0016842874,0.003363867,0.0003622357,0.0009158124,0.00030874994,0.06644973],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99492353,0.0011472557,0.00025000755,0.0011904704,0.0018286131,0.0006601106],"domain_scores_gemma":[0.97119504,0.01643841,0.0028811018,0.0031647119,0.0044337297,0.0018869768],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004574101,0.0015690014,0.0023587728,0.0035392414,0.0018553892,0.0049864487,0.002192488,0.0020452167,0.0101347165],"category_scores_gemma":[0.02864831,0.001125668,0.0014933378,0.0023747527,0.010215932,0.009316507,0.0035000776,0.006811124,0.00318043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057473175,0.00002111054,0.00028715192,0.000039207393,0.00001573567,0.00009726215,0.00015380899,0.0008089229,0.00048467683,0.99114686,0.00097022904,0.005917651],"study_design_scores_gemma":[0.000018548275,0.00002344071,0.0002291253,0.000017960914,0.000007602236,0.00028344998,0.000034270328,0.0052428977,0.00030736296,0.9910362,0.00277415,0.00002507371],"about_ca_topic_score_codex":0.001008761,"about_ca_topic_score_gemma":0.00044460982,"teacher_disagreement_score":0.0101347165,"about_ca_system_score_codex":0.002277973,"about_ca_system_score_gemma":0.001435019,"threshold_uncertainty_score":0.033904016},"labels":[],"label_agreement":null},{"id":"W1703709429","doi":"10.1016/j.aim.2015.06.022","title":"The Hadamard variational formula and the Minkowski problem for p-capacity","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":89,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Hadamard transform; Minkowski space; Uniqueness; Degenerate energy levels; Minkowski's theorem; Regular polygon; Pure mathematics; Mathematical analysis; Mathematical physics; Geometry; Quantum mechanics; Physics","score_opus":0.07591281799659927,"score_gpt":0.35032765500330654,"score_spread":0.27441483700670727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1703709429","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.239471,0.011539771,0.49050185,0.03517083,0.00179507,0.000096750315,0.0011395946,0.00025946848,0.22002557],"genre_scores_gemma":[0.9127089,0.0035811518,0.036348403,0.0014671194,0.0018157839,0.0001393271,0.00040907162,0.00027330482,0.043256897],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989612,0.00039950554,0.000058938815,0.00015959349,0.0002660002,0.00015469761],"domain_scores_gemma":[0.9970535,0.0016311972,0.0002211663,0.00025304515,0.00039617645,0.0004448698],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032499786,0.0010028912,0.001677213,0.002009532,0.0019255303,0.004694828,0.0026829985,0.002537612,0.008243303],"category_scores_gemma":[0.009925668,0.00062526297,0.0012588181,0.0015811507,0.0060311095,0.011116969,0.0037141172,0.0044137053,0.0006244328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005544242,0.0000031017917,0.000018687726,0.000014422573,0.0000030528029,0.000014609277,0.000018241424,0.000905548,0.000094149385,0.9979443,0.0004055119,0.00057280663],"study_design_scores_gemma":[0.0000038033124,0.0000021300862,0.000024033572,0.000005208998,0.0000012065027,0.000015692234,0.000011637205,0.0068861847,0.000041516432,0.9925275,0.00047599847,0.000004996405],"about_ca_topic_score_codex":0.0026149573,"about_ca_topic_score_gemma":0.0016190144,"teacher_disagreement_score":0.008243303,"about_ca_system_score_codex":0.0035283307,"about_ca_system_score_gemma":0.0021088577,"threshold_uncertainty_score":0.027576566},"labels":[],"label_agreement":null},{"id":"W1718450938","doi":"10.1016/j.aim.2016.02.005","title":"Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences","funders":"Hungarian Scientific Research Fund","keywords":"Packing dimension; Mathematics; Hausdorff dimension; Combinatorics; Uncountable set; Measure (data warehouse); Lebesgue measure; Effective dimension; Hausdorff measure; Dimension (graph theory); Hausdorff space; Dimension function; Cantor set; Compact space; Discrete mathematics; Minkowski–Bouligand dimension; Lebesgue integration; Fractal dimension; Pure mathematics; Mathematical analysis; Fractal; Countable set","score_opus":0.01911525026769187,"score_gpt":0.3088782757341666,"score_spread":0.2897630254664747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1718450938","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97226894,0.00058760867,0.021383984,0.0004155852,0.00003723007,0.000009493246,0.0004716404,0.000047484158,0.0047781565],"genre_scores_gemma":[0.99401605,0.00040694213,0.0039361306,0.000043632397,0.000096957374,0.00001678485,0.00035475515,0.000026092512,0.0011027586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994704,0.00011640578,0.00003461483,0.00015531159,0.00011394622,0.00010930233],"domain_scores_gemma":[0.99059546,0.004932865,0.0016382488,0.0005704906,0.000681005,0.0015819246],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012078104,0.00058151555,0.00069511484,0.0043366402,0.001196183,0.0038799897,0.0010606798,0.0008691227,0.0031685114],"category_scores_gemma":[0.009882934,0.00057882944,0.00048982416,0.0017708795,0.0030280466,0.005066924,0.001667399,0.0012498641,0.00017977053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002902854,0.000083864834,0.013272762,0.00009964715,0.000055410128,0.00021561421,0.0010058695,0.009625651,0.0032425504,0.9615868,0.00150448,0.009017111],"study_design_scores_gemma":[0.000022245646,0.00004704762,0.012549238,0.00004584508,0.000042884592,0.00042358405,0.00071894896,0.047732655,0.0013482075,0.9353522,0.0016741017,0.00004302293],"about_ca_topic_score_codex":0.0012817541,"about_ca_topic_score_gemma":0.00100325,"teacher_disagreement_score":0.0043366402,"about_ca_system_score_codex":0.0013126201,"about_ca_system_score_gemma":0.0003875018,"threshold_uncertainty_score":0.010599792},"labels":[],"label_agreement":null},{"id":"W1720803042","doi":"10.1016/j.aim.2016.01.005","title":"Weak amenability of Fourier algebras and local synthesis of the anti-diagonal","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; National Research Foundation of Korea","keywords":"Abelian group; Diagonal; Mathematics; Lie group; Pure mathematics; Group (periodic table); Lie algebra; Physics; Quantum mechanics","score_opus":0.02783834584759838,"score_gpt":0.34486876440651515,"score_spread":0.3170304185589168,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1720803042","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35634404,0.0015328757,0.4358168,0.0028944141,0.0007443285,0.00007777568,0.0003314003,0.00059182703,0.20166653],"genre_scores_gemma":[0.93822944,0.00048640353,0.029604373,0.0005931134,0.00079163816,0.00007828045,0.00021592107,0.00028577028,0.029715069],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993801,0.00016494535,0.00003305741,0.00015973319,0.00015143355,0.00011078502],"domain_scores_gemma":[0.9987871,0.00033908008,0.00016404764,0.00025288484,0.00021020928,0.0002466191],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010801629,0.0006164085,0.0006920904,0.0016084326,0.00167516,0.0031005132,0.0010225138,0.0010407622,0.013652019],"category_scores_gemma":[0.0031057305,0.00043342754,0.00096499844,0.00060659094,0.003437078,0.0051788087,0.002325667,0.0023147606,0.001128496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000923894,0.0000056682843,0.000038483176,0.0000066641737,0.0000020789787,0.000014375012,0.00004733187,0.00018520257,0.00037396394,0.9981798,0.00017307086,0.00096404314],"study_design_scores_gemma":[0.000004481572,0.0000061328656,0.00005522544,0.000003851871,0.0000016550914,0.000028427645,0.000032976615,0.0018464295,0.00020070029,0.9971943,0.0006214408,0.000004324914],"about_ca_topic_score_codex":0.00077056227,"about_ca_topic_score_gemma":0.00075675186,"teacher_disagreement_score":0.013652019,"about_ca_system_score_codex":0.00092155737,"about_ca_system_score_gemma":0.00062439736,"threshold_uncertainty_score":0.04567057},"labels":[],"label_agreement":null},{"id":"W1728328647","doi":"10.1016/j.aim.2016.02.035","title":"Duality, convexity and peak interpolation in the Drury–Arveson space","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Mathematics; Unit sphere; Clifford algebra; Convexity; Multiplier (economics); Algebra over a field; Duality (order theory); Interpolation (computer graphics); Space (punctuation); Pure mathematics; Combinatorics; Discrete mathematics","score_opus":0.04402004758793011,"score_gpt":0.3588661672489461,"score_spread":0.314846119661016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1728328647","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48564368,0.004758441,0.380456,0.0069015776,0.0004953012,0.000047541813,0.00050561974,0.0002025324,0.120989196],"genre_scores_gemma":[0.9460383,0.0014345878,0.029124927,0.00044396275,0.00048668947,0.000030039564,0.00023722505,0.00013696328,0.022067197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939024,0.00024676026,0.000023389599,0.00012422957,0.0001229074,0.00009247167],"domain_scores_gemma":[0.99871767,0.00055934064,0.00016884833,0.000097921744,0.00020177687,0.00025447263],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001803156,0.00068862224,0.0009296666,0.0021977914,0.001703925,0.0031024592,0.00111254,0.0011068154,0.0043015564],"category_scores_gemma":[0.003738355,0.00033835147,0.0008622252,0.0010687094,0.0036986717,0.0043229554,0.00283182,0.0031572538,0.00040357368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030033774,0.0000076923825,0.00014921113,0.00001521518,0.0000041344338,0.000026566106,0.000069907444,0.0010080723,0.0003606463,0.99621165,0.0003964691,0.0017203751],"study_design_scores_gemma":[0.000009209163,0.000013534346,0.00024053568,0.000008585577,0.000004279233,0.000053871532,0.00007673757,0.009977447,0.00024820992,0.98775,0.0016090554,0.000008520844],"about_ca_topic_score_codex":0.0026626165,"about_ca_topic_score_gemma":0.0017080155,"teacher_disagreement_score":0.0043015564,"about_ca_system_score_codex":0.001740866,"about_ca_system_score_gemma":0.0010255558,"threshold_uncertainty_score":0.014390111},"labels":[],"label_agreement":null},{"id":"W1772627889","doi":"10.1016/j.aim.2016.04.024","title":"Composition of dyadic paraproducts","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Generalitat de Catalunya; National Science Foundation","keywords":"Composition (language); Linguistics; Philosophy","score_opus":0.03494899269036467,"score_gpt":0.33810037065111065,"score_spread":0.303151377960746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1772627889","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28343895,0.0020780715,0.43343997,0.0027678593,0.002246284,0.00012109422,0.00070190756,0.001003559,0.2742023],"genre_scores_gemma":[0.78126794,0.0018758163,0.07896813,0.0009269528,0.0011502744,0.00015004912,0.0008893394,0.001299907,0.1334717],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980142,0.0003561117,0.00015283942,0.0005069201,0.0006774726,0.00029239056],"domain_scores_gemma":[0.9983553,0.00033938183,0.00017567707,0.0002544,0.00056073215,0.00031443065],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014694675,0.0011737361,0.0009834555,0.003589807,0.0027417827,0.004375005,0.0012171837,0.0016264901,0.01526325],"category_scores_gemma":[0.00341377,0.0007662741,0.0011741146,0.001948405,0.0028657943,0.008538399,0.00499764,0.0033791086,0.0035154517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025494199,0.000013564112,0.000092286544,0.000022283604,0.00000788573,0.00013776592,0.00019502475,0.00008183569,0.0011857153,0.99290437,0.0007395598,0.004594255],"study_design_scores_gemma":[0.000011507659,0.0000144831465,0.00012721047,0.000013369655,0.000013399424,0.0003522991,0.00018915553,0.0011293032,0.0016239525,0.98737353,0.009137556,0.000014243506],"about_ca_topic_score_codex":0.00047873997,"about_ca_topic_score_gemma":0.00046132915,"teacher_disagreement_score":0.01526325,"about_ca_system_score_codex":0.0011415314,"about_ca_system_score_gemma":0.0005527937,"threshold_uncertainty_score":0.051060677},"labels":[],"label_agreement":null},{"id":"W1773256999","doi":"10.1016/j.aim.2015.10.013","title":"Effective uniform bounding in partial differential fields","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"National Science Foundation","keywords":"Bounding overwatch; Mathematics; Upper and lower bounds; Partial differential equation; Ordinary differential equation; Applied mathematics; Polynomial; Mathematical analysis; Degree (music); Differential equation; Numerical partial differential equations; Computer science; Physics","score_opus":0.016675442922622404,"score_gpt":0.294560848878676,"score_spread":0.2778854059560536,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1773256999","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21204294,0.0041689537,0.6329384,0.003992164,0.0006006142,0.00005560563,0.0006142607,0.0010353716,0.14455174],"genre_scores_gemma":[0.94067323,0.001242209,0.032177392,0.00052412465,0.00050854194,0.00006389592,0.0004204688,0.00028393,0.024106195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99804306,0.0005666465,0.000096052725,0.00034872198,0.0006056788,0.00033977997],"domain_scores_gemma":[0.9965299,0.0018328497,0.00023824025,0.0006530308,0.0004181845,0.000327917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002260557,0.0009666378,0.0013404181,0.0022516437,0.0017220218,0.0038688816,0.0015934911,0.0009265574,0.007992745],"category_scores_gemma":[0.008252793,0.00056655594,0.00067251624,0.0023253707,0.0032797547,0.009705763,0.0042069736,0.0032063457,0.00072804384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020837697,0.000009641121,0.00014225484,0.00002523483,0.000004321772,0.000014858097,0.00006228098,0.0015775914,0.00023764092,0.99310476,0.00087199564,0.0039285636],"study_design_scores_gemma":[0.000007435582,0.0000053504064,0.000093654424,0.000011944594,0.000008933282,0.000019966094,0.000019161125,0.015338034,0.00052795483,0.9814891,0.0024724803,0.000005917092],"about_ca_topic_score_codex":0.0014629449,"about_ca_topic_score_gemma":0.0017425946,"teacher_disagreement_score":0.007992745,"about_ca_system_score_codex":0.003013369,"about_ca_system_score_gemma":0.0008222006,"threshold_uncertainty_score":0.026738405},"labels":[],"label_agreement":null},{"id":"W1786827846","doi":"10.1016/j.aim.2017.01.026","title":"Foliations, orders, representations, L-spaces and graph manifolds","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba; Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Floer homology; Fibered knot; Mathematics; Homology (biology); Heegaard splitting; Pure mathematics; Graph; Manifold (fluid mechanics); Combinatorics","score_opus":0.03991261454176429,"score_gpt":0.36930288099473363,"score_spread":0.3293902664529693,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1786827846","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52735347,0.06455461,0.16395774,0.03355771,0.0022962273,0.00006640957,0.0014771785,0.00067354325,0.20606312],"genre_scores_gemma":[0.9339168,0.0143008735,0.01792696,0.0011398286,0.0025510576,0.000058241865,0.00082302437,0.0001430225,0.029140176],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993007,0.0002217872,0.00003415509,0.00018209734,0.00017517459,0.00008610829],"domain_scores_gemma":[0.9986576,0.0005315575,0.00029512218,0.000112033274,0.00015229914,0.00025147074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097151316,0.0009681955,0.0008208972,0.0037008245,0.0019950336,0.00602053,0.0007891742,0.0022694524,0.008405729],"category_scores_gemma":[0.0028923082,0.00044167374,0.00056172523,0.0037033467,0.005337369,0.006665726,0.00233944,0.0033430704,0.0010746144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020552969,0.000016445652,0.00030477968,0.000054577216,0.0000059128397,0.000035214183,0.0002545694,0.00073927524,0.00030545623,0.9900564,0.0021231018,0.006083897],"study_design_scores_gemma":[0.0000051435645,0.0000063363777,0.00017906731,0.000013034675,0.000003476999,0.00004273665,0.00009671304,0.0009761893,0.00004736181,0.99510515,0.0035194063,0.0000054349566],"about_ca_topic_score_codex":0.0029488099,"about_ca_topic_score_gemma":0.0023803974,"teacher_disagreement_score":0.008405729,"about_ca_system_score_codex":0.0022222553,"about_ca_system_score_gemma":0.0008717548,"threshold_uncertainty_score":0.028119922},"labels":[],"label_agreement":null},{"id":"W1795036250","doi":"10.1016/j.aim.2016.03.024","title":"Gaiotto–Witten superpotential and Whittaker D-modules on monopoles","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Perimeter Institute","funders":"National Science Foundation of Sri Lanka; Government Council on Grants, Russian Federation; Simons Foundation; National Research University Higher School of Economics; National Science Foundation","keywords":"Superpotential; Mathematics; Lattice (music); Pure mathematics; Space (punctuation); Interpretation (philosophy); Mathematical physics; Physics; Supersymmetry","score_opus":0.024482168833419048,"score_gpt":0.32870013261038494,"score_spread":0.3042179637769659,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1795036250","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6631257,0.004060291,0.076844804,0.0051721707,0.0015115181,0.00010423906,0.0005941632,0.00056298357,0.24802414],"genre_scores_gemma":[0.92273504,0.0014398681,0.01299792,0.0007964108,0.0013753646,0.00008086566,0.00039605325,0.00030802653,0.059870597],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959713,0.00010912121,0.000022488517,0.00006830441,0.00011098919,0.00009201844],"domain_scores_gemma":[0.9994641,0.0000814867,0.00010252831,0.00007587866,0.000066158886,0.00020981123],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007242247,0.0017839092,0.0012857278,0.0043550585,0.0019745033,0.0027578834,0.0017858801,0.0023883395,0.009502547],"category_scores_gemma":[0.0012471325,0.00074438815,0.0012092434,0.0022766981,0.0025592525,0.005222746,0.0028262066,0.002788206,0.0017952798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029332012,0.000021076583,0.00008779222,0.000030768188,0.000009991056,0.00019024416,0.00010696552,0.0004005788,0.0014239876,0.9949056,0.0006794834,0.0021141588],"study_design_scores_gemma":[0.000018071229,0.00001343612,0.00019003317,0.000012682411,0.000007393606,0.00024408373,0.000053030828,0.0031259558,0.0003485271,0.9942268,0.0017464414,0.000013495811],"about_ca_topic_score_codex":0.00072494807,"about_ca_topic_score_gemma":0.00092214724,"teacher_disagreement_score":0.009502547,"about_ca_system_score_codex":0.0012920414,"about_ca_system_score_gemma":0.00066644914,"threshold_uncertainty_score":0.031789243},"labels":[],"label_agreement":null},{"id":"W1831390059","doi":"10.1016/j.aim.2018.03.012","title":"Scott ranks of models of a theory","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Countable set; Mathematics; Combinatorics; Omega; Bounded function; Rank (graph theory); Isomorphism (crystallography); Model theory; Discrete mathematics; Measure (data warehouse); Spectrum (functional analysis); Set theory; Set (abstract data type); Philosophy; Physics","score_opus":0.02706178459283569,"score_gpt":0.2989693452877062,"score_spread":0.2719075606948705,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1831390059","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43176523,0.0030414506,0.34860116,0.008796131,0.00093009335,0.00013626274,0.0016414969,0.0016217612,0.20346643],"genre_scores_gemma":[0.96255165,0.00060974236,0.012773212,0.00048187596,0.0006709706,0.00008545709,0.00054231455,0.00018422415,0.022100586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953967,0.0012885239,0.00032143347,0.00062467123,0.0015796603,0.000789093],"domain_scores_gemma":[0.99286747,0.0037706885,0.00070490054,0.0007893036,0.0008375477,0.0010301374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027171308,0.0010691584,0.001698728,0.0059453626,0.0037989502,0.009461416,0.001558228,0.0018594594,0.016157512],"category_scores_gemma":[0.011568613,0.0011010934,0.001462543,0.0034352755,0.005718715,0.015640521,0.005072564,0.004314952,0.0019152563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039183662,0.00001368771,0.00026129658,0.000027378122,0.000009783583,0.000036695874,0.00020296537,0.00043435118,0.00017550703,0.9953499,0.0007071376,0.0027421943],"study_design_scores_gemma":[0.000011985187,0.000011172892,0.00013674668,0.000011388479,0.000009881355,0.000037787177,0.00008069217,0.0016322098,0.00016679321,0.99576855,0.0021218974,0.000010995583],"about_ca_topic_score_codex":0.0014364498,"about_ca_topic_score_gemma":0.0019107423,"teacher_disagreement_score":0.016157512,"about_ca_system_score_codex":0.0022838786,"about_ca_system_score_gemma":0.0014006644,"threshold_uncertainty_score":0.054052234},"labels":[],"label_agreement":null},{"id":"W1847220037","doi":"10.1016/j.aim.2017.04.031","title":"Supports of representations of the rational Cherednik algebra of type A","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Algebra over a field; Variety (cybernetics); Modulo; Pure mathematics; Type (biology); Vector space; Cellular algebra; Action (physics); Space (punctuation); Algebra representation; Discrete mathematics; Computer science","score_opus":0.038706764823428955,"score_gpt":0.36137089370672804,"score_spread":0.3226641288832991,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1847220037","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83455276,0.0006582727,0.048404034,0.0017934196,0.0003590383,0.00005310378,0.00066935,0.00030498847,0.11320505],"genre_scores_gemma":[0.9877378,0.00017280006,0.003207066,0.00010353977,0.00028621068,0.000029171137,0.00032583703,0.000052266387,0.008085205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990434,0.00015852653,0.000044950855,0.00015863738,0.00036694662,0.0002275928],"domain_scores_gemma":[0.9979849,0.00057056616,0.0003987867,0.00019422139,0.00035677565,0.00049476646],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007153664,0.00086530665,0.0010995263,0.0024022392,0.0020029359,0.004706174,0.0016302632,0.0013754155,0.010243486],"category_scores_gemma":[0.0035809285,0.00043305752,0.00078266684,0.0014277067,0.0027339852,0.0038079403,0.0021626295,0.0022268584,0.0012535092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000095697316,0.000028824667,0.0002812148,0.0000251027,0.000010728446,0.00017829303,0.00018781672,0.0003976448,0.0012328845,0.99519926,0.00057110115,0.0017915036],"study_design_scores_gemma":[0.00006614594,0.00003542348,0.00043104697,0.000014891322,0.0000132270325,0.0003275029,0.00022857348,0.005444597,0.0009626456,0.99058694,0.0018678624,0.000021182183],"about_ca_topic_score_codex":0.0013720903,"about_ca_topic_score_gemma":0.0008109076,"teacher_disagreement_score":0.010243486,"about_ca_system_score_codex":0.0014405107,"about_ca_system_score_gemma":0.0007362475,"threshold_uncertainty_score":0.034267843},"labels":[],"label_agreement":null},{"id":"W1857862635","doi":"10.1016/j.aim.2015.09.010","title":"Local h-polynomials, invariants of subdivisions, and mixed Ehrhart theory","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Polytope; Mathematics; Unimodality; Combinatorics; Conjecture; Symmetric polynomial; Polynomial; Lattice (music); Invariant (physics); Elementary symmetric polynomial; Discrete mathematics; Difference polynomials; Orthogonal polynomials; Matrix polynomial","score_opus":0.04466803435124948,"score_gpt":0.34447660581505324,"score_spread":0.29980857146380374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1857862635","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72754824,0.0032661264,0.12569621,0.0031482666,0.00051749137,0.000042413147,0.00034808426,0.00028325606,0.1391498],"genre_scores_gemma":[0.97611994,0.00066764734,0.005398445,0.00019912083,0.00041755647,0.000014607575,0.0001517502,0.00004208549,0.016988968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995158,0.00011520316,0.000016569169,0.00009375862,0.0001364608,0.00012224115],"domain_scores_gemma":[0.99914145,0.00023298999,0.00016710095,0.00012612983,0.00013181548,0.00020040642],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010008209,0.0006562862,0.00070551416,0.0024531388,0.0012062232,0.0026053886,0.0008857728,0.000762868,0.0064962413],"category_scores_gemma":[0.002588026,0.00027222285,0.00059408485,0.0014288954,0.00375253,0.0042503183,0.0021698517,0.00238368,0.0006027036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002272927,0.000012355286,0.00023141952,0.000011790149,0.000003936646,0.000024060437,0.000085728825,0.0004544556,0.0003520286,0.9937629,0.0005240221,0.0045146486],"study_design_scores_gemma":[0.000011023838,0.000014755916,0.00034854864,0.0000062398003,0.0000041072485,0.000047376983,0.000078213554,0.0022719796,0.0002515003,0.9957468,0.001211642,0.000007833669],"about_ca_topic_score_codex":0.0014276956,"about_ca_topic_score_gemma":0.0011264221,"teacher_disagreement_score":0.0064962413,"about_ca_system_score_codex":0.0013639871,"about_ca_system_score_gemma":0.0004926092,"threshold_uncertainty_score":0.021732152},"labels":[],"label_agreement":null},{"id":"W1867893745","doi":"10.1016/j.aim.2016.06.014","title":"Much ado about Mathieu","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Genus; Cohomology; Pure mathematics; String theory; Group (periodic table); Mathematics; Type (biology); Physics; Mathematical physics; Zoology; Biology; Paleontology; Quantum mechanics","score_opus":0.025669937472943556,"score_gpt":0.33238840469905323,"score_spread":0.3067184672261097,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1867893745","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01456749,0.06010632,0.031394035,0.12005046,0.029707404,0.000023211653,0.0010490308,0.00038924938,0.74271286],"genre_scores_gemma":[0.37806824,0.03260889,0.014723543,0.032699607,0.04231921,0.00006763754,0.0007239628,0.0006839891,0.49810487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995184,0.0001698395,0.000022570732,0.00011637784,0.0001272965,0.00004566123],"domain_scores_gemma":[0.999532,0.00020443136,0.000030121664,0.00008028248,0.00010250692,0.000050645016],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059942843,0.0007831656,0.0006253777,0.0019954368,0.0018731109,0.0035250126,0.00052317197,0.0014407802,0.018689504],"category_scores_gemma":[0.0021445488,0.00022902536,0.00045879174,0.0016699845,0.0042515113,0.0073315287,0.0014495088,0.0030661821,0.003986914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017336255,0.00000865991,0.00008118496,0.00005476406,0.000006320602,0.000022857314,0.00016102886,0.00014588494,0.00012012225,0.95436037,0.034680665,0.010340852],"study_design_scores_gemma":[0.000008732892,0.0000053705103,0.00013171285,0.000038640545,0.0000067257174,0.00006662018,0.00008596325,0.00028781468,0.0001330001,0.7351019,0.2641218,0.0000117855425],"about_ca_topic_score_codex":0.0023694625,"about_ca_topic_score_gemma":0.001968314,"teacher_disagreement_score":0.018689504,"about_ca_system_score_codex":0.0023287283,"about_ca_system_score_gemma":0.00061030086,"threshold_uncertainty_score":0.06252265},"labels":[],"label_agreement":null},{"id":"W1883893351","doi":"10.1016/j.aim.2016.04.017","title":"Uniqueness, universality, and homogeneity of the noncommutative Gurarij space","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"York University","keywords":"Mathematics; Noncommutative geometry; Separable space; Commutative property; Pure mathematics; Operator space; Operator algebra; Uniqueness; Isomorphism (crystallography); Banach space; Discrete mathematics; Finite-rank operator; Mathematical analysis","score_opus":0.041238079271336124,"score_gpt":0.3782945504049501,"score_spread":0.337056471133614,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1883893351","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85490364,0.0016318577,0.10132639,0.001966638,0.00035508443,0.00003140944,0.00024858583,0.00011422005,0.03942208],"genre_scores_gemma":[0.9841706,0.0004016378,0.006777878,0.00018844342,0.00043865058,0.000033060976,0.00016725951,0.00006721324,0.0077552283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99841917,0.0004208017,0.00008820769,0.00049990433,0.0003188284,0.00025313525],"domain_scores_gemma":[0.99773526,0.00073538,0.000334226,0.00029436356,0.00034467224,0.00055606465],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019744516,0.000495293,0.00093798694,0.002092444,0.0029860653,0.0032680207,0.0014313994,0.0008573442,0.0028305773],"category_scores_gemma":[0.0035412163,0.0006191688,0.0010586976,0.0011038865,0.0059679467,0.005549499,0.0035201472,0.0022333453,0.00034656355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036581172,0.000014541246,0.0003183231,0.000021560365,0.000011027121,0.00004861401,0.0003096344,0.00031306595,0.0010340734,0.9960918,0.00022074592,0.0015800858],"study_design_scores_gemma":[0.000008016406,0.000019791398,0.0006353764,0.0000041617172,0.000005990193,0.000113219445,0.00010558054,0.0017514344,0.00057502405,0.9959836,0.00078421674,0.00001349835],"about_ca_topic_score_codex":0.00091004,"about_ca_topic_score_gemma":0.0005359187,"teacher_disagreement_score":0.0032680207,"about_ca_system_score_codex":0.0009780024,"about_ca_system_score_gemma":0.00094743713,"threshold_uncertainty_score":0.0104420185},"labels":[],"label_agreement":null},{"id":"W1894249260","doi":"10.1016/j.aim.2015.08.028","title":"Unique continuation from infinity for linear waves","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation of Sri Lanka; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Infinity; Mathematics; Uniqueness; Minkowski space; Null (SQL); Continuation; Space (punctuation); Mathematical analysis; General relativity; Pure mathematics; Mathematical physics","score_opus":0.09985907281358423,"score_gpt":0.392148060177441,"score_spread":0.2922889873638568,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1894249260","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19282614,0.010561946,0.5367479,0.011908122,0.0022330133,0.000105497485,0.00026506162,0.00069103565,0.24466126],"genre_scores_gemma":[0.8289206,0.008623048,0.0787831,0.0018596976,0.002963859,0.00023802492,0.0004473322,0.00057898555,0.0775853],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993968,0.00022890208,0.00003674107,0.00008953007,0.0001641179,0.00008383913],"domain_scores_gemma":[0.99806446,0.000977965,0.00017925914,0.00015347535,0.00029333172,0.00033148238],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019371981,0.0018590383,0.0011678309,0.00318819,0.002235816,0.0034980474,0.0014921295,0.002056201,0.0061985156],"category_scores_gemma":[0.0069750524,0.0006460426,0.0015578112,0.0013530222,0.0052183503,0.007553404,0.003973942,0.006018479,0.00095402333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000119321185,0.0000094782135,0.000037626425,0.00003337079,0.000004951325,0.00003613315,0.00013883508,0.00051160273,0.0003003277,0.9956743,0.00077244366,0.002469003],"study_design_scores_gemma":[0.000007643834,0.0000070534843,0.000036318943,0.000014819442,0.0000032352912,0.000032835378,0.000039248276,0.0031208429,0.000078815385,0.9956182,0.0010340278,0.0000069356915],"about_ca_topic_score_codex":0.0012705281,"about_ca_topic_score_gemma":0.00087031897,"teacher_disagreement_score":0.0061985156,"about_ca_system_score_codex":0.0020416006,"about_ca_system_score_gemma":0.001233868,"threshold_uncertainty_score":0.020736158},"labels":[],"label_agreement":null},{"id":"W190509557","doi":"10.1016/j.aim.2016.08.034","title":"Interacting particle systems at the edge of multilevel Dyson Brownian motions","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation of Sri Lanka; M.S.I. Foundation","keywords":"Brownian motion; Statistical physics; Particle system; Decoupling (probability); Limit (mathematics); Physics; Context (archaeology); Limiting; Classical mechanics; Mathematics; Mathematical analysis; Computer science; Quantum mechanics","score_opus":0.059222945862206215,"score_gpt":0.3705602468319965,"score_spread":0.3113373009697903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W190509557","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.649187,0.0021731127,0.24286354,0.0063177864,0.0009867856,0.00011432725,0.0003043354,0.0005648884,0.09748816],"genre_scores_gemma":[0.9671249,0.0004692807,0.016161913,0.0007127347,0.00041042498,0.000090961155,0.00013410024,0.00013330024,0.014762298],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937135,0.00021428707,0.000022304153,0.000081307364,0.00016921524,0.00014157164],"domain_scores_gemma":[0.9982822,0.000604262,0.00020648283,0.00018487619,0.00021193332,0.00051025004],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001023254,0.00058298116,0.0015080868,0.0014450159,0.0015903997,0.0037750478,0.0017922949,0.0030094862,0.0075388197],"category_scores_gemma":[0.003797815,0.00059300265,0.00095672,0.00042757476,0.0028436657,0.0034539714,0.0033936407,0.0028651732,0.0007813676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039548464,0.00002606138,0.0002887238,0.000022817278,0.000014054957,0.00010565404,0.00008900136,0.011805194,0.0008457036,0.9844379,0.0010996807,0.0012257925],"study_design_scores_gemma":[0.000034578974,0.000026891841,0.0005490452,0.000020853542,0.000011791524,0.00008171339,0.00007610701,0.30103236,0.00022955475,0.69665587,0.0012510108,0.00003016239],"about_ca_topic_score_codex":0.0014863352,"about_ca_topic_score_gemma":0.0011092409,"teacher_disagreement_score":0.0075388197,"about_ca_system_score_codex":0.0012532515,"about_ca_system_score_gemma":0.00065810134,"threshold_uncertainty_score":0.025219858},"labels":[],"label_agreement":null},{"id":"W1913153908","doi":"10.1016/j.aim.2016.01.019","title":"General systems of linear forms: Equidistribution and true complexity","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies; National Science Foundation","keywords":"Mathematics; Abelian group; Conjecture; Order (exchange); Orthogonality; Bounded function; Prime (order theory); Group (periodic table); Combinatorics; Distribution (mathematics); Function (biology); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.05391811351336887,"score_gpt":0.348005239041537,"score_spread":0.2940871255281681,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1913153908","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22427255,0.0034839232,0.49833804,0.01212065,0.00093204615,0.000084463565,0.0006535693,0.0005066587,0.25960812],"genre_scores_gemma":[0.91489905,0.0014875391,0.044673398,0.0011948604,0.0008773787,0.00015177464,0.0004531063,0.0002637635,0.035999026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979964,0.00059125456,0.00011301642,0.0005139109,0.0005427919,0.0002426284],"domain_scores_gemma":[0.99675304,0.001536389,0.00030658813,0.00059302937,0.0005467052,0.00026427282],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016004423,0.00062821823,0.0009813808,0.0015941086,0.0025246667,0.0054844036,0.0014957928,0.002418002,0.011007813],"category_scores_gemma":[0.008866065,0.00062752166,0.0010111376,0.0014809557,0.0068947915,0.011290309,0.0038537064,0.005104916,0.0013237428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000041262156,0.0000031653183,0.000033663207,0.0000069305706,0.0000013812935,0.000010527451,0.00005316319,0.00020463258,0.000047296136,0.9980552,0.000442955,0.0011369329],"study_design_scores_gemma":[0.0000018749895,9.4812196e-7,0.000010663261,0.0000019625638,6.963704e-7,0.000011561555,0.000014965118,0.0008758424,0.000029318446,0.9984938,0.0005566601,0.000001757946],"about_ca_topic_score_codex":0.0009888012,"about_ca_topic_score_gemma":0.0009466237,"teacher_disagreement_score":0.011007813,"about_ca_system_score_codex":0.0019062615,"about_ca_system_score_gemma":0.00088576315,"threshold_uncertainty_score":0.036824822},"labels":[],"label_agreement":null},{"id":"W1924621068","doi":"10.1016/j.aim.2016.09.014","title":"Construction of unipotent Galois extensions and Massey products","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Foundation for Science and Technology Development","keywords":"Embedding problem; Fundamental theorem of Galois theory; Galois cohomology; Mathematics; Galois group; Galois extension; Differential Galois theory; Galois module; Simplicity; Galois theory; Unipotent; Extension (predicate logic); Splitting of prime ideals in Galois extensions; Abelian extension; Pure mathematics; Algebra over a field; Computer science; Programming language","score_opus":0.02579780906395411,"score_gpt":0.3034266826137343,"score_spread":0.27762887354978016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1924621068","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52681667,0.0027951682,0.25915915,0.0027050856,0.0011147885,0.00014294067,0.00040378832,0.00057182857,0.20629063],"genre_scores_gemma":[0.9408632,0.0007562296,0.028931165,0.0003019313,0.0003804569,0.000069487716,0.00018257082,0.00015943135,0.028355604],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926144,0.00015076484,0.000042432814,0.00016743768,0.00022754588,0.00015046091],"domain_scores_gemma":[0.99939704,0.00017716683,0.00008243652,0.000081871636,0.000094532596,0.00016703676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010809111,0.001077887,0.0008237126,0.0021258288,0.0017638794,0.0035628832,0.0009887165,0.00092292513,0.0060160863],"category_scores_gemma":[0.0016887118,0.0006075314,0.00078265497,0.0012145576,0.003226578,0.0049668616,0.0043379744,0.0031315743,0.0011142885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031852254,0.000014674081,0.00014492181,0.000020432173,0.0000044565168,0.00012086887,0.00029384939,0.00016043431,0.0010203293,0.9938764,0.00042862262,0.0038832233],"study_design_scores_gemma":[0.000019146331,0.000024891231,0.00024927067,0.000017913424,0.000010055873,0.000281716,0.00013179108,0.000872166,0.0017127547,0.98850155,0.008163949,0.0000148370045],"about_ca_topic_score_codex":0.00019389972,"about_ca_topic_score_gemma":0.00019503485,"teacher_disagreement_score":0.0060160863,"about_ca_system_score_codex":0.0010067549,"about_ca_system_score_gemma":0.00042264708,"threshold_uncertainty_score":0.020125806},"labels":[],"label_agreement":null},{"id":"W1930605776","doi":"10.1016/j.aim.2016.08.016","title":"Derived equivalences for hereditary Artin algebras","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Fonds Wetenschappelijk Onderzoek; University of Regina; National Science Foundation","keywords":"Mathematics; Pure mathematics; Artin L-function; Algebra over a field; Conductor; Geometry","score_opus":0.033479020241335734,"score_gpt":0.32656465390934397,"score_spread":0.2930856336680082,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1930605776","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31768563,0.0043907207,0.23585817,0.0033594603,0.0012122926,0.00012861779,0.00086723623,0.00056307844,0.43593475],"genre_scores_gemma":[0.9454452,0.0014760453,0.021369988,0.0007231364,0.0008280823,0.00011793744,0.0011537253,0.00016365935,0.028722264],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99766016,0.0005889223,0.00017484448,0.00039205325,0.00085858005,0.00032546683],"domain_scores_gemma":[0.9979189,0.00085501367,0.00022061093,0.00026769616,0.00042537178,0.00031241772],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002138723,0.00078765507,0.0010213436,0.003468814,0.0038532726,0.004836421,0.0016882473,0.0014297407,0.0107336035],"category_scores_gemma":[0.0033551846,0.00066441216,0.0016386027,0.0025595448,0.0058513894,0.010598333,0.0040594996,0.0052427445,0.0011552573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008410722,0.000017516615,0.00008692803,0.000012587048,0.0000048579577,0.000030019128,0.00018925958,0.0001418894,0.00013375728,0.99718827,0.00031767492,0.0018688159],"study_design_scores_gemma":[0.000007993577,0.000004637968,0.00010824726,0.000005284208,0.0000040138457,0.000024795123,0.00005082629,0.0004828396,0.00010143193,0.9977848,0.0014202499,0.0000049946643],"about_ca_topic_score_codex":0.0016133746,"about_ca_topic_score_gemma":0.0019738334,"teacher_disagreement_score":0.0107336035,"about_ca_system_score_codex":0.002576053,"about_ca_system_score_gemma":0.00087371183,"threshold_uncertainty_score":0.035907507},"labels":[],"label_agreement":null},{"id":"W1956695937","doi":"10.1016/j.aim.2015.08.012","title":"Modules of the 0-Hecke algebra and quasisymmetric Schur functions","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hecke algebra; Indecomposable module; Bruhat order; Combinatorics; Pure mathematics; Symmetric function; Hopf algebra; Symmetric group; Wreath product; Algebra over a field; Product (mathematics); Coxeter group","score_opus":0.04491671159036881,"score_gpt":0.32045319974967734,"score_spread":0.27553648815930853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1956695937","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6448097,0.003058317,0.089049615,0.0020723538,0.0006944674,0.000098877455,0.0007532109,0.00040783564,0.25905558],"genre_scores_gemma":[0.9387809,0.001093572,0.007998555,0.00034821223,0.00096938206,0.000046797326,0.0004064037,0.00009282772,0.050263382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993537,0.00016335615,0.00002886918,0.00010022072,0.00020726606,0.00014656744],"domain_scores_gemma":[0.99920577,0.00018233166,0.00015199682,0.00007042569,0.0001586462,0.00023086829],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009171999,0.00091146707,0.00067170465,0.002512627,0.0015596434,0.0029572505,0.0009556349,0.0006770026,0.012461684],"category_scores_gemma":[0.0013200432,0.0004789757,0.00077263353,0.0012384051,0.003174244,0.004871965,0.0019408949,0.0013566504,0.0017883359],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021440235,0.000019565952,0.0001626107,0.000019616735,0.0000055745145,0.00004957185,0.00014610244,0.0002129205,0.00076149113,0.9951662,0.00053522055,0.0028996854],"study_design_scores_gemma":[0.000015171617,0.000020051915,0.0004818407,0.000007596005,0.000006104033,0.00012474044,0.00007036384,0.0010281061,0.0006619124,0.99475104,0.002817379,0.000015620335],"about_ca_topic_score_codex":0.0010104877,"about_ca_topic_score_gemma":0.0008262088,"teacher_disagreement_score":0.012461684,"about_ca_system_score_codex":0.0011635775,"about_ca_system_score_gemma":0.00090208044,"threshold_uncertainty_score":0.0416885},"labels":[],"label_agreement":null},{"id":"W1962697231","doi":"10.1016/j.aim.2015.11.020","title":"Whittaker modules for the affine Lie algebra<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msubsup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:msubsup></mml:math>","year":2015,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; Priority Academic Program Development of Jiangsu Higher Education Institutions; University of Waterloo; Hrvatska Zaklada za Znanost; National Natural Science Foundation of China; Wilfrid Laurier University","keywords":"Mathematics; SL2(R); Pure mathematics; Algebra over a field; Lie algebra","score_opus":0.023107383433971104,"score_gpt":0.25968143653157133,"score_spread":0.2365740530976002,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1962697231","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18581027,0.0033370832,0.25718302,0.0037089824,0.0009712244,0.00010363738,0.0017252221,0.00200766,0.54515296],"genre_scores_gemma":[0.8114165,0.0016812272,0.032581598,0.0007543203,0.0009961065,0.000096864824,0.0016145092,0.00059963553,0.15025918],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994118,0.0001307611,0.000031160333,0.00010654541,0.00022002232,0.000099658195],"domain_scores_gemma":[0.9994684,0.00009552658,0.000103324426,0.000069849964,0.00012608078,0.00013689672],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006714547,0.0007960155,0.00044022885,0.001910084,0.0010904112,0.0021523968,0.0006970526,0.0006838376,0.03507453],"category_scores_gemma":[0.0011089657,0.0003340056,0.00079328904,0.001187919,0.0015428637,0.0043579172,0.0014240795,0.0015468643,0.008557465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011176337,0.000011896082,0.000080549326,0.000021859303,0.0000042726597,0.000045479304,0.00013629532,0.00029193168,0.00058039225,0.99032414,0.0028423413,0.0056497147],"study_design_scores_gemma":[0.000009060053,0.000024145675,0.00037841327,0.000011501819,0.0000051421075,0.000146257,0.00008328134,0.0023900652,0.00085750315,0.9780969,0.017979825,0.000017984075],"about_ca_topic_score_codex":0.0010263866,"about_ca_topic_score_gemma":0.0011393419,"teacher_disagreement_score":0.03507453,"about_ca_system_score_codex":0.0008380202,"about_ca_system_score_gemma":0.00060213974,"threshold_uncertainty_score":0.117335975},"labels":[],"label_agreement":null},{"id":"W1963519563","doi":"10.1016/j.aim.2010.02.016","title":"Invariants of t-structures and classification of nullity classes","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Pure mathematics; Combinatorics","score_opus":0.0345817336620354,"score_gpt":0.32239872698764377,"score_spread":0.2878169933256084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963519563","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8388409,0.00064124,0.12807804,0.0010350677,0.00022766506,0.00006275896,0.00045038454,0.00042474255,0.030239133],"genre_scores_gemma":[0.9830768,0.0002886897,0.011292203,0.00009480429,0.00028995343,0.00003908738,0.0005311123,0.00008695857,0.004300338],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99804854,0.00034815646,0.00022365597,0.0004638889,0.00047181506,0.0004439086],"domain_scores_gemma":[0.99348915,0.0022394855,0.0013932958,0.000739946,0.0007915038,0.0013467034],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027698223,0.00061168626,0.0009351234,0.006110522,0.0024328746,0.0059146984,0.0017784392,0.0011621956,0.0061929254],"category_scores_gemma":[0.006831945,0.00049169257,0.0013183056,0.0031134125,0.0070859366,0.011058176,0.003080429,0.0032798857,0.0006065519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008998579,0.000054046002,0.0023634888,0.000029706018,0.000013375027,0.00006063467,0.00048563952,0.0005583805,0.0010118403,0.9865088,0.0007197295,0.008104223],"study_design_scores_gemma":[0.000022949002,0.00004507828,0.0014635201,0.000017858747,0.000020855668,0.00016862145,0.00026483645,0.0037872703,0.0014209078,0.99125767,0.0014991091,0.000031387015],"about_ca_topic_score_codex":0.00064605457,"about_ca_topic_score_gemma":0.00037429947,"teacher_disagreement_score":0.0061929254,"about_ca_system_score_codex":0.0015299466,"about_ca_system_score_gemma":0.0008813937,"threshold_uncertainty_score":0.020717382},"labels":[],"label_agreement":null},{"id":"W1963632717","doi":"10.1016/j.aim.2012.11.004","title":"Finite order spreading models","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Order (exchange); Applied mathematics; Calculus (dental)","score_opus":0.04100416711810919,"score_gpt":0.3272727660808902,"score_spread":0.286268598962781,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963632717","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2589378,0.0015929671,0.3854689,0.004317273,0.0004104319,0.00013173293,0.0003992598,0.0007176992,0.34802392],"genre_scores_gemma":[0.9165111,0.0007446155,0.015687672,0.00058100733,0.00029281623,0.000101904734,0.00025655937,0.00014700994,0.06567729],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992811,0.00019371694,0.00003147776,0.00011327624,0.00023566931,0.00014481497],"domain_scores_gemma":[0.9975292,0.0010437985,0.00020590448,0.0005167163,0.00039409677,0.0003102368],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007672006,0.0006901632,0.0007658165,0.0013232782,0.0016724764,0.0033416331,0.0011996866,0.0021251321,0.011438433],"category_scores_gemma":[0.00407501,0.00040220408,0.0007777309,0.00093288306,0.0027028339,0.0049701175,0.0019660513,0.0026788546,0.0017953619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000041145795,0.0000070123638,0.000033395085,0.000005540036,0.0000018131682,0.000022243163,0.000072906034,0.00082587317,0.00020478907,0.99769324,0.00036913218,0.0007598816],"study_design_scores_gemma":[0.0000040840982,0.000004045103,0.000030901287,0.0000044000985,0.0000028256206,0.000049320115,0.00004366754,0.009892017,0.00014041808,0.98833615,0.0014870018,0.000005183762],"about_ca_topic_score_codex":0.0016670916,"about_ca_topic_score_gemma":0.0015016183,"teacher_disagreement_score":0.011438433,"about_ca_system_score_codex":0.0012028991,"about_ca_system_score_gemma":0.0007953675,"threshold_uncertainty_score":0.038265347},"labels":[],"label_agreement":null},{"id":"W1963831316","doi":"10.1016/j.aim.2013.04.010","title":"Positional graphs and conditional structure of weakly null sequences","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Ministerio de Economía y Competitividad","keywords":"Mathematics; Subsequence; Uncountable set; Combinatorics; Null (SQL); Axiom; Sequence (biology); Discrete mathematics; Countable set; Mathematical analysis; Bounded function","score_opus":0.010312945163105247,"score_gpt":0.2998975597889233,"score_spread":0.289584614625818,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963831316","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33094028,0.00051331834,0.63842946,0.0018981135,0.00011988327,0.000080638565,0.0013919938,0.0006243239,0.026002014],"genre_scores_gemma":[0.9389161,0.00054087123,0.04652248,0.0005412838,0.00020166195,0.00020134583,0.0019177672,0.0002475661,0.010910974],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977914,0.0007385529,0.00016395633,0.00049996993,0.0005066385,0.0002995948],"domain_scores_gemma":[0.9781447,0.014869341,0.0017934088,0.0016012139,0.002263948,0.0013274358],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026709007,0.00066942093,0.0009836901,0.003694499,0.0027124458,0.0035526054,0.0022749668,0.0017040701,0.008857739],"category_scores_gemma":[0.017242761,0.0009645141,0.0011984463,0.003473502,0.0054514566,0.009344265,0.0029237568,0.0023449745,0.0008677466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032980257,0.000012472147,0.00048896443,0.000024085764,0.0000061553947,0.000053915115,0.00020966958,0.0008237857,0.00035513024,0.99546957,0.00024340636,0.0022798977],"study_design_scores_gemma":[0.00000897035,0.0000092087985,0.00019711674,0.000008730364,0.000009941904,0.000038231992,0.000071253824,0.004815504,0.00027195498,0.99396163,0.00059841305,0.000009005948],"about_ca_topic_score_codex":0.0024984623,"about_ca_topic_score_gemma":0.0029122627,"teacher_disagreement_score":0.008857739,"about_ca_system_score_codex":0.0016736335,"about_ca_system_score_gemma":0.0014453096,"threshold_uncertainty_score":0.029632032},"labels":[],"label_agreement":null},{"id":"W1964502992","doi":"10.1016/j.aim.2013.05.027","title":"Asymptotic resurgences for ideals of positive dimensional subschemes of projective space","year":2013,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ideal (ethics); Conjecture; Pure mathematics; Projective space; Space (punctuation); Focus (optics); Polynomial ring; Scheme (mathematics); Discrete mathematics; Polynomial; Projective test; Algebra over a field; Mathematical analysis; Computer science; Law; Physics","score_opus":0.043357569466976525,"score_gpt":0.3778181945128775,"score_spread":0.334460625045901,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964502992","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7937224,0.0017654774,0.098383926,0.0023506898,0.0004961327,0.00006414708,0.00032245723,0.0004296442,0.10246527],"genre_scores_gemma":[0.9801129,0.00045432727,0.0074272137,0.00013832393,0.00054289476,0.000049573817,0.00026021534,0.00009160117,0.010922848],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99789774,0.0005507165,0.00012330902,0.00031697153,0.0007206633,0.00039050865],"domain_scores_gemma":[0.9963064,0.0013306551,0.0005471898,0.00029453466,0.0004961925,0.0010249966],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025016111,0.0010839825,0.001099189,0.0058367862,0.0033979798,0.0034268522,0.0017059352,0.0010696276,0.007991744],"category_scores_gemma":[0.0073578986,0.0007277296,0.0011763216,0.0021137302,0.005946882,0.00710227,0.0047180178,0.0039327615,0.0007745813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000087023356,0.00004100219,0.00093639083,0.000043580472,0.000015368652,0.00023542468,0.00057815743,0.0007372104,0.0011814623,0.9922746,0.00065943925,0.0032104314],"study_design_scores_gemma":[0.00002505267,0.000038276066,0.0010370263,0.000021669497,0.000018209768,0.00039150123,0.0002595247,0.005485856,0.00094400666,0.990146,0.0016124249,0.000020454025],"about_ca_topic_score_codex":0.00093989016,"about_ca_topic_score_gemma":0.00095603155,"teacher_disagreement_score":0.007991744,"about_ca_system_score_codex":0.0022463708,"about_ca_system_score_gemma":0.0007103785,"threshold_uncertainty_score":0.026735008},"labels":[],"label_agreement":null},{"id":"W1964856761","doi":"10.1016/j.aim.2003.07.005","title":"Quantum cohomology of the infinite-dimensional generalized flag manifolds","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Generalized flag variety; Quantum cohomology; Flag (linear algebra); Toda lattice; Pure mathematics; Isomorphism (crystallography); Cohomology ring; Maximal torus; Type (biology); Quantum; Lattice (music); Multiplicative function; Lie group; Cohomology; Ring (chemistry); Lie algebra; Mathematical analysis; Algebra over a field; Equivariant cohomology; Quantum mechanics","score_opus":0.027046560552250357,"score_gpt":0.31426971402661513,"score_spread":0.2872231534743648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964856761","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92396945,0.00077542046,0.020945484,0.0016985161,0.00021014616,0.000022231756,0.00012864317,0.0001104333,0.0521397],"genre_scores_gemma":[0.98637265,0.00030102217,0.0025743113,0.00013617288,0.00019178362,0.000014663914,0.000097892414,0.000018949353,0.010292597],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972314,0.00007319886,0.000011209031,0.000041857715,0.00008141406,0.000069206595],"domain_scores_gemma":[0.9995172,0.00007962303,0.000081942875,0.00005505431,0.00008251778,0.00018361048],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004480033,0.000513776,0.00055795984,0.0019741275,0.0015966106,0.0018205062,0.000760351,0.00073411973,0.0049924753],"category_scores_gemma":[0.0011053181,0.0002477976,0.00043974505,0.00086979126,0.002403276,0.003723063,0.0017213508,0.001197575,0.0003506685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022970444,0.000017739947,0.0003920592,0.00002043632,0.0000058807113,0.00009742113,0.00025939732,0.0007394165,0.0011416986,0.9935853,0.000492809,0.0032248327],"study_design_scores_gemma":[0.000010092102,0.00002150107,0.0011467041,0.000011047218,0.0000052793043,0.00014730875,0.0001516913,0.005454587,0.0002974694,0.9912458,0.0014929947,0.000015450483],"about_ca_topic_score_codex":0.0015913615,"about_ca_topic_score_gemma":0.0015568481,"teacher_disagreement_score":0.0049924753,"about_ca_system_score_codex":0.0011142954,"about_ca_system_score_gemma":0.00060095696,"threshold_uncertainty_score":0.01670152},"labels":[],"label_agreement":null},{"id":"W1965736880","doi":"10.1016/j.aim.2005.11.010","title":"When is a Schubert variety Gorenstein?","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":61,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Schubert variety; Variety (cybernetics); Pure mathematics; Generalization; Smoothness; Line bundle; Sheaf; Schubert calculus; Property (philosophy); Ample line bundle; Bundle; Algebra over a field; Grassmannian; Mathematical analysis","score_opus":0.018494582487230384,"score_gpt":0.30425174868571575,"score_spread":0.28575716619848535,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965736880","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7670647,0.00291898,0.022906372,0.0155326985,0.00080765435,0.000041377658,0.0003830218,0.00038839754,0.18995687],"genre_scores_gemma":[0.9903916,0.0006087126,0.0016247993,0.0004289927,0.0003243419,0.000012093822,0.00018630965,0.000055855333,0.0063673225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991486,0.00013648927,0.00005125704,0.00021224938,0.00020427344,0.00024718384],"domain_scores_gemma":[0.9987595,0.00046818674,0.00019230213,0.00016082636,0.00020244918,0.00021685185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012706618,0.00036699363,0.0010865963,0.0021285312,0.0025206974,0.006913159,0.00086022256,0.0026684273,0.0068981196],"category_scores_gemma":[0.0041024904,0.00046343068,0.00053733966,0.0018216226,0.0074866335,0.013591851,0.0024530583,0.0024231593,0.0011050317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006332385,0.00001630294,0.0015146993,0.00004066447,0.000017553835,0.00040576316,0.0013022182,0.00017641955,0.0006276958,0.9862135,0.0022934247,0.007328447],"study_design_scores_gemma":[0.000011496253,0.000013281412,0.0013913765,0.000029169563,0.00001741628,0.000760594,0.0026209129,0.00044962866,0.0005677067,0.98301977,0.011091793,0.000026875052],"about_ca_topic_score_codex":0.0008962789,"about_ca_topic_score_gemma":0.00059527735,"teacher_disagreement_score":0.006913159,"about_ca_system_score_codex":0.0011440396,"about_ca_system_score_gemma":0.00046058046,"threshold_uncertainty_score":0.023076475},"labels":[],"label_agreement":null},{"id":"W1966017566","doi":"10.1016/j.aim.2004.12.004","title":"On the notion of canonical dimension for algebraic groups","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Hypersurface; Dimension (graph theory); Invariant theory; Algebraic number; Algebraic group; Invariant (physics); Pure mathematics; Algebraic surface; Algebra over a field; Geometric invariant theory; Dimension of an algebraic variety; Algebraic cycle; Algebraic geometry; Degree (music); Mathematical analysis","score_opus":0.02356248128491482,"score_gpt":0.3106449518413418,"score_spread":0.28708247055642694,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966017566","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25874984,0.021750655,0.373125,0.023576578,0.0038645896,0.000112680835,0.00094440766,0.00048527576,0.317391],"genre_scores_gemma":[0.9354059,0.0054811784,0.039237432,0.0020945661,0.00336282,0.00012373974,0.00038787353,0.00017314698,0.013733365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798524,0.0007564347,0.0001231082,0.0004149524,0.0004550043,0.00026516535],"domain_scores_gemma":[0.99506134,0.00276988,0.00035855747,0.0005263748,0.0006103248,0.00067344395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038049405,0.0012129673,0.0016084289,0.004766542,0.0030340594,0.005717809,0.0016079128,0.0017883537,0.0042872615],"category_scores_gemma":[0.007835696,0.0007102709,0.0009631233,0.0036767619,0.015471396,0.017372515,0.0057318467,0.0061964896,0.0006921191],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001231891,0.000004677171,0.00009908028,0.000015495378,0.0000029930698,0.000013146632,0.00012221861,0.0001689761,0.00011058666,0.9972198,0.0006707116,0.0015599086],"study_design_scores_gemma":[0.0000046308396,0.000007875552,0.00013035192,0.0000098518685,0.0000038918674,0.000034028206,0.0000539087,0.0006741181,0.000059145103,0.9962627,0.002750983,0.00000847868],"about_ca_topic_score_codex":0.0012120347,"about_ca_topic_score_gemma":0.00083221664,"teacher_disagreement_score":0.005717809,"about_ca_system_score_codex":0.0024046025,"about_ca_system_score_gemma":0.0008878608,"threshold_uncertainty_score":0.020122647},"labels":[],"label_agreement":null},{"id":"W1966718949","doi":"10.1016/j.aim.2006.09.015","title":"Tannaka–Krein duality for compact groupoids I, Representation theory","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Saskatchewan","keywords":"Mathematics; Lemma (botany); Duality (order theory); Representation theory; Representation (politics); Pure mathematics; Locally compact space; Compact group; Algebra over a field; Series (stratigraphy); Locally compact group; Lie group","score_opus":0.08076606006738038,"score_gpt":0.468554401457896,"score_spread":0.38778834139051566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966718949","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3018607,0.01796252,0.30166492,0.01032803,0.0024164342,0.00012177195,0.0006540963,0.00048268968,0.36450887],"genre_scores_gemma":[0.9186364,0.0031008157,0.028607786,0.00085273007,0.0012491491,0.000091396636,0.0002907866,0.00010975109,0.047061183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973816,0.00008481171,0.000014281898,0.000054778506,0.00006714349,0.000040787207],"domain_scores_gemma":[0.9997081,0.00008020187,0.000062251835,0.000044861412,0.000051446274,0.00005306361],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007535244,0.00074241444,0.000704548,0.0014800353,0.002118025,0.0031625542,0.00073324685,0.0012771848,0.0048984094],"category_scores_gemma":[0.001085512,0.00031900342,0.0008062215,0.0012991744,0.0033698268,0.0039510285,0.0012873104,0.0027050327,0.0008010128],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005960249,0.000004152077,0.000018337232,0.000012351701,0.0000018112219,0.000011268695,0.00011022357,0.00014535378,0.00023535517,0.99790335,0.0005540719,0.0009977242],"study_design_scores_gemma":[0.0000042001834,0.000006564227,0.000053113556,0.0000039002853,0.0000022447193,0.000027309245,0.000050325816,0.00070802576,0.00009600285,0.9970331,0.0020117008,0.0000034090017],"about_ca_topic_score_codex":0.0014180297,"about_ca_topic_score_gemma":0.00083128735,"teacher_disagreement_score":0.0048984094,"about_ca_system_score_codex":0.0017073724,"about_ca_system_score_gemma":0.00072119915,"threshold_uncertainty_score":0.016386807},"labels":[],"label_agreement":null},{"id":"W1967193955","doi":"10.1016/j.aim.2012.07.019","title":"Maximal velocity of photons in non-relativistic QED","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Photon; Ionization; Quantum electrodynamics; Radiation; Inverse; Quantum; Quantum mechanics; Electromagnetic radiation; Ion","score_opus":0.030984674162024457,"score_gpt":0.34628250555911316,"score_spread":0.3152978313970887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967193955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6165112,0.0029042324,0.21991126,0.0069332304,0.0013446199,0.000088410154,0.00036262942,0.00053325517,0.15141113],"genre_scores_gemma":[0.9711109,0.00055686984,0.0135886,0.00049643806,0.0005918658,0.000062017745,0.00015143074,0.00015450023,0.013287271],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932396,0.000191687,0.000039976017,0.00014486883,0.00015491001,0.0001445925],"domain_scores_gemma":[0.998287,0.0006012333,0.00019211805,0.00017446697,0.00021160311,0.00053355005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018611222,0.0008164793,0.000948119,0.0017388039,0.0022344633,0.0029306584,0.0018386628,0.0014543973,0.004176844],"category_scores_gemma":[0.0048740897,0.0005674333,0.0007284519,0.0008602857,0.005038917,0.0072731236,0.0028338686,0.0025990212,0.00048741038],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001858853,0.0000071502545,0.00007855037,0.000014884613,0.0000023056916,0.000019134673,0.00007655059,0.0004677162,0.0006265787,0.9979645,0.00014756074,0.0005764647],"study_design_scores_gemma":[0.000011848585,0.000011972599,0.00018425689,0.000009453852,0.0000027789474,0.00003349716,0.00004139603,0.003499986,0.00029889253,0.99541736,0.00047771868,0.000010827942],"about_ca_topic_score_codex":0.00097400066,"about_ca_topic_score_gemma":0.0007183374,"teacher_disagreement_score":0.004176844,"about_ca_system_score_codex":0.0014716927,"about_ca_system_score_gemma":0.0014861192,"threshold_uncertainty_score":0.013972998},"labels":[],"label_agreement":null},{"id":"W1967572763","doi":"10.1016/j.aim.2011.12.024","title":"Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":106,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; York University","funders":"Natural Sciences and Engineering Research Council of Canada; National Defense Science and Engineering Graduate; American Institute of Mathematics; National Science Foundation","keywords":"Hopf algebra; Mathematics; Unipotent; Quantum group; Pure mathematics; Ring (chemistry); Algebra over a field; Field (mathematics); Class (philosophy); Symmetric function","score_opus":0.023772788147118255,"score_gpt":0.3024353939000789,"score_spread":0.27866260575296065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967572763","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73378044,0.008870601,0.058817726,0.004636677,0.001730343,0.000064498745,0.00019207058,0.00016479383,0.19174293],"genre_scores_gemma":[0.96281403,0.002460272,0.0054750512,0.0005984445,0.0015926895,0.000050582315,0.00012426321,0.000042026375,0.0268426],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958926,0.00011287878,0.000026055654,0.00006522874,0.00012231136,0.000084224026],"domain_scores_gemma":[0.9989335,0.0003648528,0.00018861983,0.00013246242,0.00013841543,0.00024221021],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001306735,0.000727026,0.0008855015,0.0030013453,0.0028210403,0.0031408079,0.001107493,0.0011996536,0.0065713744],"category_scores_gemma":[0.002168349,0.00035691974,0.00067075953,0.0020821027,0.00500562,0.0056298594,0.0019120923,0.0018190105,0.00059496827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008984962,0.000020201363,0.00008713131,0.000012365404,0.0000026904472,0.000042941698,0.0001130554,0.00024062682,0.00016651272,0.99746525,0.00033021535,0.0015099983],"study_design_scores_gemma":[0.0000045814336,0.000005608875,0.00008243125,0.0000028587424,0.0000017050058,0.000029459876,0.00005711703,0.0006609731,0.00005103986,0.9986243,0.0004757749,0.000004280155],"about_ca_topic_score_codex":0.0011408547,"about_ca_topic_score_gemma":0.0012737336,"teacher_disagreement_score":0.0065713744,"about_ca_system_score_codex":0.0010989938,"about_ca_system_score_gemma":0.0008606501,"threshold_uncertainty_score":0.021983445},"labels":[],"label_agreement":null},{"id":"W1967803450","doi":"10.1016/j.aim.2010.12.009","title":"Differential Harnack inequalities on Riemannian manifolds I: Linear heat equation","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":105,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McGill University","keywords":"Harnack's inequality; Harnack's principle; Heat kernel; Ricci curvature; Mathematics; Bounded function; Curvature of Riemannian manifolds; Heat equation; Ricci flow; Mathematical analysis; Curvature; Pure mathematics; Riemannian manifold; Ricci-flat manifold; Scalar curvature; Sectional curvature; Geometry","score_opus":0.03928042836965888,"score_gpt":0.32548774482345133,"score_spread":0.28620731645379244,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967803450","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14534554,0.026777461,0.6634357,0.018983418,0.0018922839,0.00007736379,0.0008533354,0.00031093252,0.14232403],"genre_scores_gemma":[0.9029442,0.0112024695,0.02991315,0.0022718734,0.002642757,0.0001524082,0.00042624303,0.00021470303,0.05023215],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932885,0.00020428165,0.000028556635,0.00016438428,0.00016635135,0.000107660366],"domain_scores_gemma":[0.9974815,0.0012005806,0.00031878968,0.00016827657,0.00052891433,0.00030189255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016458405,0.001180607,0.0011576115,0.002227797,0.001040364,0.0026611213,0.001693197,0.001778565,0.0073655886],"category_scores_gemma":[0.0050373557,0.00044850263,0.00085190125,0.0016920633,0.0038041542,0.006426595,0.0034782933,0.0039006022,0.0007336127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019771875,0.000013757838,0.00021052062,0.0000880922,0.000014814186,0.00005902477,0.0001236129,0.0029586402,0.0008271366,0.98899955,0.0024571922,0.004227845],"study_design_scores_gemma":[0.000010389074,0.0000173582,0.00050504407,0.000029296702,0.000019417492,0.00009570156,0.00007903187,0.032934144,0.0003763768,0.96134806,0.0045628827,0.000022292728],"about_ca_topic_score_codex":0.0028778801,"about_ca_topic_score_gemma":0.001742296,"teacher_disagreement_score":0.0073655886,"about_ca_system_score_codex":0.002835273,"about_ca_system_score_gemma":0.00084778626,"threshold_uncertainty_score":0.024640322},"labels":[],"label_agreement":null},{"id":"W1968362061","doi":"10.1016/j.aim.2004.05.009","title":"A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Smoothness; Legendre transformation; Legendre polynomials; Mathematical analysis; Dimension (graph theory); Principal curvature; Degenerate energy levels; Generalization; Pure mathematics; Corollary; Degree (music); Legendre function; Function (biology); Curvature; Geometry; Mean curvature","score_opus":0.04537863856935059,"score_gpt":0.31273798436039074,"score_spread":0.26735934579104015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968362061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6022836,0.0060759136,0.2504897,0.01015545,0.001839801,0.00007963292,0.00036357896,0.00032705572,0.12838522],"genre_scores_gemma":[0.9346026,0.0019959654,0.024710389,0.0007584165,0.0014879751,0.00004782299,0.00027139703,0.00016601579,0.035959408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994723,0.00019548791,0.000031579682,0.00008892271,0.00013687584,0.000074770665],"domain_scores_gemma":[0.99844736,0.00055692147,0.00025176187,0.0001723427,0.00026434992,0.00030730266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001669634,0.0008930958,0.0012193559,0.002178473,0.0017932139,0.0033417412,0.0017711037,0.001960522,0.0035646746],"category_scores_gemma":[0.007509003,0.00062621746,0.0012205715,0.0011180738,0.004444907,0.0069424245,0.0022833669,0.0035306464,0.0004888496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020666874,0.000012400414,0.00011209151,0.000023077011,0.0000044219337,0.0000522585,0.00015503776,0.001170315,0.0005408982,0.99559456,0.0005918319,0.0017225648],"study_design_scores_gemma":[0.000009518637,0.000011480901,0.00018430965,0.00000884391,0.0000032930811,0.00012530039,0.000054467233,0.012250863,0.0001655611,0.98624706,0.00092590274,0.0000134080765],"about_ca_topic_score_codex":0.0017583659,"about_ca_topic_score_gemma":0.0010783118,"teacher_disagreement_score":0.0035646746,"about_ca_system_score_codex":0.0015589092,"about_ca_system_score_gemma":0.0011597323,"threshold_uncertainty_score":0.011925042},"labels":[],"label_agreement":null},{"id":"W1969231434","doi":"10.1016/j.aim.2005.06.013","title":"Root numbers and ranks in positive characteristic","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Elliptic curve; Conjecture; Rank (graph theory); Function field; Combinatorics; Parity (physics); Algebraic number field; Supersingular elliptic curve; Finite field; Field (mathematics); Discrete mathematics; Pure mathematics","score_opus":0.010861018437583478,"score_gpt":0.29517274737262217,"score_spread":0.2843117289350387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969231434","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45715192,0.015210964,0.09859762,0.01758225,0.0033088205,0.000092879265,0.0007348886,0.0011508177,0.40616974],"genre_scores_gemma":[0.9401559,0.0041348715,0.0076092435,0.00052008126,0.002596565,0.00005728015,0.00021547014,0.00012986925,0.044580676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900645,0.00019670297,0.000053447766,0.00020323828,0.00032919942,0.00021103045],"domain_scores_gemma":[0.99674475,0.0017109483,0.00058435265,0.00024009211,0.00033858186,0.00038114682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011815904,0.0011242443,0.0015112032,0.0053598504,0.0024877149,0.006051981,0.00137114,0.0011928118,0.012237643],"category_scores_gemma":[0.0059536872,0.00080363126,0.0005162496,0.0044890535,0.007806332,0.011805925,0.00320199,0.004874638,0.0021763379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002628655,0.00001208655,0.0002074344,0.000040295876,0.0000041826675,0.0000433237,0.00030000135,0.00025523893,0.0002443515,0.99147487,0.0015744122,0.005817517],"study_design_scores_gemma":[0.000013746957,0.000012046539,0.00026961518,0.000012740462,0.000010401863,0.00013139166,0.00010227183,0.00043529182,0.00012473093,0.9942417,0.0046322723,0.000013752568],"about_ca_topic_score_codex":0.0008123101,"about_ca_topic_score_gemma":0.0010169486,"teacher_disagreement_score":0.012237643,"about_ca_system_score_codex":0.0018381979,"about_ca_system_score_gemma":0.00096691045,"threshold_uncertainty_score":0.040938973},"labels":[],"label_agreement":null},{"id":"W1969243539","doi":"10.1016/j.aim.2011.05.006","title":"Extremal Kähler metrics on projective bundles over a curve","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Holomorphic function; Vector bundle; Pure mathematics; Kähler manifold; Scalar curvature; Complex torus; Chern class; Toric variety; Complex manifold; Manifold (fluid mechanics); Genus; Complex projective space; Curvature; Mathematical analysis; Torus; Projective space; Geometry; Projective test","score_opus":0.1110052348126382,"score_gpt":0.3440350778333964,"score_spread":0.2330298430207582,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969243539","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89168274,0.0016017747,0.041923985,0.0021614763,0.00039011292,0.00004936338,0.00026162434,0.00028213757,0.061646722],"genre_scores_gemma":[0.9799273,0.0005810537,0.004614059,0.00016370392,0.00053638587,0.000032737535,0.00020755148,0.000103350416,0.013833837],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985911,0.0003721788,0.00007836789,0.00024070436,0.00045667164,0.00026103354],"domain_scores_gemma":[0.9981969,0.00036395065,0.0004211518,0.00016284247,0.00023185142,0.0006233954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001262063,0.0018521688,0.0015675386,0.006352888,0.0034764707,0.0047820504,0.0017045074,0.0030157836,0.0063536107],"category_scores_gemma":[0.0039797532,0.0011946782,0.0007284595,0.002316964,0.0046101846,0.0078838905,0.0036862432,0.0029349965,0.0007589245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042009466,0.000032280845,0.00059747515,0.000027770826,0.00001304916,0.00022875195,0.00026545028,0.0012761704,0.00072655076,0.9938974,0.00069277803,0.0022004505],"study_design_scores_gemma":[0.00001951494,0.00004399438,0.001432988,0.000017770453,0.000015164515,0.00039288666,0.00016917574,0.007308946,0.0003602837,0.98863786,0.0015712222,0.000030233748],"about_ca_topic_score_codex":0.00074497116,"about_ca_topic_score_gemma":0.0012096046,"teacher_disagreement_score":0.0063536107,"about_ca_system_score_codex":0.0021011522,"about_ca_system_score_gemma":0.00059470406,"threshold_uncertainty_score":0.021254957},"labels":[],"label_agreement":null},{"id":"W1970015403","doi":"10.1016/s0001-8708(02)00045-2","title":"Lie idempotent algebras","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Subalgebra; Pure mathematics; Epimorphism; Cartan subalgebra; Idempotence; Lie algebra; Convolution (computer science); Bialgebra; Product (mathematics); Hopf algebra; Combinatorics; Algebra over a field; Lie conformal algebra; Adjoint representation of a Lie algebra","score_opus":0.02388101449767907,"score_gpt":0.31141957835819006,"score_spread":0.287538563860511,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970015403","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20523266,0.009981312,0.20933902,0.008101699,0.0014250161,0.00006760243,0.00046487708,0.0005299856,0.56485784],"genre_scores_gemma":[0.85962665,0.007529675,0.043031324,0.0012612335,0.0029193661,0.00012422792,0.00066192524,0.000107040105,0.08473859],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956006,0.00009499106,0.000021847212,0.00008031184,0.00019483615,0.000047992256],"domain_scores_gemma":[0.9994728,0.00014132308,0.000075925,0.00006202086,0.00014879575,0.000099153476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008730748,0.00078322453,0.0007984172,0.0018355751,0.001809446,0.0031760824,0.0008157192,0.0011660891,0.0059642172],"category_scores_gemma":[0.0012655116,0.00035702626,0.00049129035,0.001632809,0.003121118,0.0054134456,0.0011776922,0.0030368967,0.0015796768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000041353933,0.0000057668935,0.000027706259,0.000007784627,0.0000014015449,0.000016670247,0.00007296453,0.00012529411,0.00019132001,0.9976267,0.00053435366,0.0013859506],"study_design_scores_gemma":[0.0000035189819,0.0000040342943,0.00004492324,0.0000032624569,0.0000017676809,0.000042247822,0.000023923487,0.00050572323,0.00012738432,0.9961014,0.0031383168,0.0000035518653],"about_ca_topic_score_codex":0.0005234635,"about_ca_topic_score_gemma":0.0005059125,"teacher_disagreement_score":0.0059642172,"about_ca_system_score_codex":0.0012244881,"about_ca_system_score_gemma":0.00071393483,"threshold_uncertainty_score":0.019952297},"labels":[],"label_agreement":null},{"id":"W1970971799","doi":"10.1016/j.aim.2010.12.015","title":"Skew quasisymmetric Schur functions and noncommutative Schur functions","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Schur algebra; Schur's lemma; Schur's theorem; Schur product theorem; Noncommutative geometry; Schur polynomial; Symmetric function; Schur decomposition; Schur complement; Combinatorics; Basis (linear algebra); Pure mathematics; Macdonald polynomials; Orthogonal polynomials; Discrete orthogonal polynomials; Classical orthogonal polynomials; Gegenbauer polynomials","score_opus":0.058187522492677196,"score_gpt":0.3290248061374247,"score_spread":0.27083728364474746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970971799","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5246684,0.007144003,0.26199716,0.005143214,0.0023336099,0.00007198589,0.00038603653,0.00023487811,0.19802068],"genre_scores_gemma":[0.9423091,0.0025567424,0.01944558,0.0007159024,0.0020875395,0.000070621456,0.00024302339,0.00008566706,0.032485772],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915886,0.00027837115,0.000051876515,0.00014615757,0.00024175594,0.00012286662],"domain_scores_gemma":[0.99812514,0.00074179476,0.00032194098,0.00020418178,0.00034763606,0.00025917502],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017118199,0.0012069799,0.00093761337,0.0028469963,0.0022440122,0.0035324101,0.0009268245,0.0012287726,0.008040635],"category_scores_gemma":[0.0031366379,0.00058652053,0.0008727433,0.0021737826,0.005169308,0.0065308134,0.0017296268,0.0027652318,0.0009668031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000954485,0.000006254618,0.000053310472,0.000007979731,0.0000017681323,0.000030368672,0.00008468759,0.00013612917,0.00019241865,0.99793905,0.00026346702,0.0012750577],"study_design_scores_gemma":[0.0000055429095,0.0000064496016,0.00010431131,0.0000031790753,0.000002300694,0.000058328646,0.000037502643,0.0008498532,0.00013897919,0.9973049,0.0014816008,0.0000070085516],"about_ca_topic_score_codex":0.00069761573,"about_ca_topic_score_gemma":0.0008950675,"teacher_disagreement_score":0.008040635,"about_ca_system_score_codex":0.0013526111,"about_ca_system_score_gemma":0.00071717426,"threshold_uncertainty_score":0.026898623},"labels":[],"label_agreement":null},{"id":"W1971214102","doi":"10.1016/j.aim.2012.04.026","title":"Interactions between autoequivalences, stability conditions, and moduli problems","year":2012,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Compactification (mathematics); Mathematics; Moduli space; Pure mathematics; Moduli","score_opus":0.07240238482710509,"score_gpt":0.36370145114801566,"score_spread":0.29129906632091057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971214102","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6093925,0.005215592,0.13437836,0.019601408,0.00047955764,0.000057716145,0.00050030707,0.00028044978,0.23009409],"genre_scores_gemma":[0.9805996,0.0011170909,0.007586817,0.00041367736,0.0006869568,0.00006251321,0.0001748791,0.000077176504,0.009281225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868304,0.0005083048,0.00007499131,0.00023314977,0.0003445431,0.00015593768],"domain_scores_gemma":[0.9932678,0.004279457,0.0006727034,0.00057431037,0.00056992745,0.00063593104],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002708825,0.00049089507,0.0007709266,0.0029052747,0.0023013582,0.004487117,0.0011385222,0.0017644488,0.014310297],"category_scores_gemma":[0.009064892,0.00039774794,0.000568499,0.0015160989,0.004524749,0.011122668,0.0028839756,0.0025999546,0.0007348792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011968982,0.000008717965,0.0001369332,0.000012315623,0.0000027088738,0.000016276572,0.000059993654,0.0002715695,0.00011951913,0.99723995,0.00055914663,0.0015609104],"study_design_scores_gemma":[0.00000476421,0.0000034720542,0.00010594825,0.0000040911264,0.000001670221,0.000028139859,0.000051570638,0.0012820564,0.000065041175,0.99790275,0.00054719625,0.000003201875],"about_ca_topic_score_codex":0.00035661485,"about_ca_topic_score_gemma":0.00039694738,"teacher_disagreement_score":0.014310297,"about_ca_system_score_codex":0.0014006697,"about_ca_system_score_gemma":0.00056298723,"threshold_uncertainty_score":0.047872722},"labels":[],"label_agreement":null},{"id":"W1972266216","doi":"10.1016/j.aim.2010.08.002","title":"Random quantum channels II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Additive function; Quantum entanglement; Counterexample; Entropy (arrow of time); Quantum; Random matrix; Combinatorics; Discrete mathematics; Statistical physics; Quantum mechanics; Mathematical analysis; Physics","score_opus":0.016206811171454196,"score_gpt":0.3033759335333914,"score_spread":0.2871691223619372,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972266216","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14580041,0.01251909,0.7726899,0.0086154,0.00063269556,0.00008614849,0.00047089762,0.00021391122,0.058971632],"genre_scores_gemma":[0.9302973,0.0075748665,0.043518152,0.001210111,0.002206739,0.00022798443,0.00035460925,0.00018618732,0.014424137],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976071,0.0012472756,0.00010641084,0.00032194177,0.0005047082,0.00021247925],"domain_scores_gemma":[0.98711115,0.009766069,0.0011109586,0.0008245109,0.00066938344,0.0005178691],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0056223315,0.0013486107,0.001633799,0.0029065842,0.0012422742,0.0043385923,0.0017239446,0.0020573812,0.0038066525],"category_scores_gemma":[0.015186416,0.00094924605,0.001185487,0.0021918693,0.0077380165,0.010110568,0.004616353,0.0051340307,0.00052145484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018450552,0.000014511022,0.00011942219,0.000048868325,0.000013291498,0.000027332844,0.00007673373,0.0054554995,0.0003104455,0.9914689,0.00056744856,0.0018791155],"study_design_scores_gemma":[0.0000042597844,0.0000090853655,0.00014783397,0.000019948355,0.000007941956,0.00004269792,0.000026803593,0.022455156,0.0002383678,0.97642255,0.0006080356,0.000017286713],"about_ca_topic_score_codex":0.00066782406,"about_ca_topic_score_gemma":0.00039154149,"teacher_disagreement_score":0.0056223315,"about_ca_system_score_codex":0.001334915,"about_ca_system_score_gemma":0.0008221732,"threshold_uncertainty_score":0.029734075},"labels":[],"label_agreement":null},{"id":"W1972399789","doi":"10.1006/aima.1999.1876","title":"On Unbounded p-Summable Fredholm Modules","year":2000,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Bounded function; Bounded operator; Von Neumann algebra; Commutative property; Pure mathematics; Fredholm theory; Space (punctuation); Linear operators; Discrete mathematics; Von Neumann architecture; Fredholm integral equation; Mathematical analysis; Integral equation","score_opus":0.030287743614217457,"score_gpt":0.3629772859363609,"score_spread":0.3326895423221435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972399789","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6032797,0.0019078773,0.20279056,0.0030864738,0.00075927976,0.00008759854,0.0005231112,0.0005370367,0.18702829],"genre_scores_gemma":[0.92903084,0.0011786454,0.017559137,0.00044886293,0.00064911926,0.00007142266,0.00044758804,0.00013424152,0.050480187],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990308,0.00019448467,0.00004747484,0.00015687323,0.00034356242,0.00022677422],"domain_scores_gemma":[0.9978143,0.00096794596,0.00023812456,0.00013370399,0.00027730013,0.00056861056],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016644035,0.0018933961,0.00093878526,0.0037079218,0.0022900498,0.002901226,0.0013647038,0.0013747646,0.0077655464],"category_scores_gemma":[0.003278162,0.00077231077,0.00125201,0.0017810523,0.004196282,0.009573776,0.0052129,0.003821785,0.00096932566],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006076924,0.000032873613,0.00024992492,0.00005773655,0.00001314123,0.0002526152,0.00034001682,0.00061422476,0.0017668395,0.99303174,0.00067367265,0.002906351],"study_design_scores_gemma":[0.000015039966,0.000023151328,0.000425621,0.000018950568,0.000013407013,0.00022047533,0.00009002644,0.0035244848,0.0009186091,0.9934941,0.0012415086,0.000014679743],"about_ca_topic_score_codex":0.0008461617,"about_ca_topic_score_gemma":0.0008468307,"teacher_disagreement_score":0.0077655464,"about_ca_system_score_codex":0.0016159281,"about_ca_system_score_gemma":0.0007831738,"threshold_uncertainty_score":0.025978386},"labels":[],"label_agreement":null},{"id":"W1972645494","doi":"10.1016/j.aim.2012.01.016","title":"Generating basis webs for SLn","year":2012,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Basis (linear algebra); Surjective function; Invariant (physics); Mathematics; Algebraic number; Space (punctuation); Graph; Tensor product; Combinatorics; Pure mathematics; Algebra over a field; Computer science; Geometry; Mathematical analysis","score_opus":0.04681661490974779,"score_gpt":0.3487820320465564,"score_spread":0.3019654171368086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972645494","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5752707,0.0014536204,0.17204419,0.0037388282,0.0008430542,0.00012306088,0.000793655,0.00078842597,0.24494444],"genre_scores_gemma":[0.92322886,0.00077472726,0.02826781,0.00067556545,0.0006190372,0.00012808156,0.00074250647,0.0003974483,0.045165878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993747,0.00016429074,0.00003138763,0.00009302321,0.0002222364,0.00011453843],"domain_scores_gemma":[0.9992706,0.00022394178,0.00009581813,0.00013202579,0.00012675319,0.00015086807],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007774653,0.00091457664,0.00087702234,0.0021981217,0.0019110608,0.0037297336,0.0009502088,0.0014890934,0.011200052],"category_scores_gemma":[0.0016774373,0.0005212508,0.00090504455,0.0015248052,0.0018959226,0.003677768,0.0020738374,0.002368322,0.0018766893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012671566,0.000022000579,0.00011168587,0.000014799509,0.0000029211524,0.00005375438,0.00012146566,0.00040049377,0.0004773717,0.99426574,0.0010171892,0.0034999],"study_design_scores_gemma":[0.0000063499947,0.0000044492317,0.000059474347,0.0000048366205,0.0000022526076,0.000043707372,0.000032830605,0.0021525263,0.00016134795,0.99613154,0.0013949362,0.0000058036403],"about_ca_topic_score_codex":0.0007409104,"about_ca_topic_score_gemma":0.0012697049,"teacher_disagreement_score":0.011200052,"about_ca_system_score_codex":0.0011104457,"about_ca_system_score_gemma":0.00057303655,"threshold_uncertainty_score":0.037467897},"labels":[],"label_agreement":null},{"id":"W1973684955","doi":"10.1016/j.aim.2014.06.002","title":"On the Lie algebroid of a derived self-intersection","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Mathematics; Lie algebroid; Intersection (aeronautics); Embedding; Pure mathematics; Algebraic number; Algebraic variety; Normal bundle; Algebra over a field; Lie algebra; Vector bundle; Mathematical analysis","score_opus":0.014520912206146569,"score_gpt":0.29010232895124444,"score_spread":0.27558141674509784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973684955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.720867,0.0027589595,0.070780426,0.005478875,0.0007234285,0.000096306016,0.00038945617,0.00024294722,0.1986627],"genre_scores_gemma":[0.9631292,0.00091814325,0.009863489,0.00044322995,0.0006631975,0.000042606982,0.00023092567,0.000080074045,0.024629053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991283,0.00021399031,0.00003881068,0.00014345355,0.0003409123,0.00013459851],"domain_scores_gemma":[0.9989229,0.00027081382,0.00014367198,0.00006786538,0.00026553907,0.00032917436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012889114,0.0009553327,0.0012800943,0.004542548,0.003938524,0.0035144764,0.0017987638,0.0018844922,0.0065955995],"category_scores_gemma":[0.0019119803,0.0005965661,0.00082110456,0.0018703867,0.0059988596,0.006422449,0.004395553,0.0030554438,0.0010119852],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021206988,0.000018470288,0.00014217354,0.000020119624,0.000008181396,0.00013286273,0.00037600883,0.00033328854,0.00063748966,0.9967668,0.00031267843,0.0012307891],"study_design_scores_gemma":[0.000014939651,0.000029776653,0.00033948265,0.000012424398,0.000007767934,0.00018923556,0.0002624173,0.0025462753,0.00036203917,0.9943479,0.0018735385,0.000014383321],"about_ca_topic_score_codex":0.002016288,"about_ca_topic_score_gemma":0.0013737633,"teacher_disagreement_score":0.0065955995,"about_ca_system_score_codex":0.0024435145,"about_ca_system_score_gemma":0.00080210035,"threshold_uncertainty_score":0.022064507},"labels":[],"label_agreement":null},{"id":"W1974688296","doi":"10.1016/j.aim.2010.01.011","title":"Coxeter groups are virtually special","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":91,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Coxeter group; Mathematics; Artin group; Quasiconvex function; Longest element of a Coxeter group; Coxeter complex; Combinatorics; Point group; Coxeter element; Group (periodic table); Pure mathematics; Geometry; Regular polygon; Subderivative","score_opus":0.016717181070527592,"score_gpt":0.30204289805838647,"score_spread":0.28532571698785886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974688296","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4988874,0.0025148257,0.0687164,0.0071097673,0.0023867113,0.00013229974,0.000745394,0.0009506569,0.41855654],"genre_scores_gemma":[0.95574975,0.00081576116,0.00414111,0.00052966207,0.001239195,0.00008244279,0.00038856576,0.000098816025,0.03695464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926955,0.00013659213,0.00003343458,0.00018536323,0.00019494862,0.00018000044],"domain_scores_gemma":[0.9989458,0.0003550773,0.00016587386,0.00020362403,0.00011053429,0.00021916076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006796052,0.0011970521,0.0014703093,0.0022431337,0.003137376,0.0042060367,0.001173328,0.0013190052,0.012945393],"category_scores_gemma":[0.0017690817,0.00060437317,0.0008205586,0.0018398952,0.0065004006,0.008100222,0.0045754407,0.003999467,0.0015497088],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026294812,0.0000084273615,0.000082297905,0.000014261829,0.0000054401066,0.000057915076,0.00016086755,0.00006624576,0.00022610213,0.99678934,0.0007425795,0.0018202572],"study_design_scores_gemma":[0.000018807052,0.000014849283,0.00017434212,0.0000047578346,0.000008961913,0.00015963067,0.0001395744,0.00021451114,0.00030924502,0.9933176,0.0056303474,0.000007394549],"about_ca_topic_score_codex":0.00038634782,"about_ca_topic_score_gemma":0.00036388013,"teacher_disagreement_score":0.012945393,"about_ca_system_score_codex":0.0012219441,"about_ca_system_score_gemma":0.00054829236,"threshold_uncertainty_score":0.04330665},"labels":[],"label_agreement":null},{"id":"W1975274803","doi":"10.1016/j.aim.2007.07.004","title":"Regularity of subelliptic Monge–Ampère equations","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University; University of Calgary","funders":"","keywords":"Mathematics; Legendre transformation; Dimension (graph theory); Pure mathematics; Mathematical analysis; Regular polygon; Guan; Square (algebra); Legendre polynomials; Curvature; Combinatorics; Geometry","score_opus":0.048211496777230134,"score_gpt":0.35005203344025604,"score_spread":0.3018405366630259,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975274803","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6608673,0.0036212532,0.18637727,0.0072692065,0.0009713201,0.0000743976,0.00049809547,0.0002444106,0.14007682],"genre_scores_gemma":[0.93510926,0.0017972244,0.016938744,0.0005298218,0.0011705279,0.00007369761,0.00045206223,0.00015892458,0.043769784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994056,0.00021416835,0.000026178055,0.00009227522,0.00016692275,0.00009484459],"domain_scores_gemma":[0.997698,0.0010341556,0.0002746883,0.00019580284,0.0003945038,0.0004027317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015935949,0.0008542218,0.0014189138,0.0020306518,0.0013093412,0.0023930022,0.0014754287,0.001413184,0.0051841573],"category_scores_gemma":[0.007238079,0.00055097044,0.00081337854,0.00082573347,0.002991637,0.004627631,0.0023377324,0.003558638,0.0007748898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004068051,0.0000148711415,0.00030387467,0.000029141725,0.000010123698,0.000047099664,0.00016579161,0.0016112948,0.0007903138,0.99261343,0.0012051387,0.0031682227],"study_design_scores_gemma":[0.000016075637,0.000013612207,0.00033105028,0.000009086383,0.000004663587,0.00007620048,0.00006241464,0.015502504,0.000213851,0.9820702,0.0016889209,0.000011489399],"about_ca_topic_score_codex":0.0013451338,"about_ca_topic_score_gemma":0.0008432138,"teacher_disagreement_score":0.0051841573,"about_ca_system_score_codex":0.001434661,"about_ca_system_score_gemma":0.0007487943,"threshold_uncertainty_score":0.017342687},"labels":[],"label_agreement":null},{"id":"W1975841273","doi":"10.1016/j.aim.2013.11.011","title":"The second main theorem vector for the modular regular representation of<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>","year":2013,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Type (biology); Generator (circuit theory); Ring (chemistry); Order (exchange); Prime (order theory); Combinatorics; Algebra over a field; Discrete mathematics; Pure mathematics; Physics","score_opus":0.023443637721750052,"score_gpt":0.2767999303983075,"score_spread":0.25335629267655746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975841273","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.021546565,0.0034466104,0.49357122,0.031542268,0.009333725,0.00021493081,0.0022553864,0.0019416558,0.4361477],"genre_scores_gemma":[0.5333481,0.005467145,0.15314554,0.01901692,0.01023687,0.0008173355,0.0039455486,0.0032298851,0.27079263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987937,0.00020975951,0.00006936516,0.00033789247,0.0003865168,0.00020268444],"domain_scores_gemma":[0.9983041,0.00063481514,0.00009977119,0.00036086587,0.0004558743,0.00014454816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00170946,0.0010417125,0.0008070916,0.0016348035,0.0013885576,0.0025114098,0.0011729895,0.0011537442,0.04066232],"category_scores_gemma":[0.004256092,0.000293499,0.002025684,0.00069148256,0.0025549363,0.005663457,0.0033526963,0.0046871006,0.012130084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005095587,0.00003305986,0.00031349066,0.00025707457,0.000029581524,0.00011599964,0.00025147223,0.00030049044,0.0015254111,0.91435087,0.057072036,0.025699554],"study_design_scores_gemma":[0.000027686207,0.000053199426,0.00069988775,0.00008163382,0.00003884707,0.0005636328,0.00008127602,0.002314952,0.0032590607,0.90144205,0.09141655,0.00002126542],"about_ca_topic_score_codex":0.0011112827,"about_ca_topic_score_gemma":0.0009827005,"teacher_disagreement_score":0.04066232,"about_ca_system_score_codex":0.0014391231,"about_ca_system_score_gemma":0.0008960317,"threshold_uncertainty_score":0.136029},"labels":[],"label_agreement":null},{"id":"W1977107193","doi":"10.1016/j.aim.2006.10.004","title":"Orthogonality of Jack polynomials in superspace","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Universidad de Talca; World Bank Group","keywords":"Superspace; Mathematics; Scalar (mathematics); Orthogonality; Eigenfunction; Orthogonal polynomials; Pure mathematics; Product (mathematics); Discrete orthogonal polynomials; Mathematical physics; Algebra over a field; Eigenvalues and eigenvectors; Quantum mechanics; Supersymmetry; Geometry; Physics","score_opus":0.00868758603176258,"score_gpt":0.2696905802485626,"score_spread":0.2610029942168,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977107193","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7110649,0.0010566444,0.17372492,0.0020419029,0.0010470656,0.00010131811,0.000347458,0.00026716755,0.110348724],"genre_scores_gemma":[0.9512882,0.0008197812,0.02016828,0.0004587592,0.000982832,0.00006420613,0.0003044296,0.00016644498,0.02574703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99841833,0.00040247114,0.00006979088,0.00018879045,0.0005613661,0.00035927477],"domain_scores_gemma":[0.9978193,0.00047302005,0.00028592534,0.00028165092,0.0005011623,0.0006389566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021959215,0.0008326711,0.0009708252,0.002254836,0.0018063671,0.0030757221,0.0011524913,0.00093513535,0.004925443],"category_scores_gemma":[0.0034696402,0.0006032231,0.00082913286,0.0013064805,0.004415273,0.0042799804,0.0023421417,0.0022381768,0.0007680448],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002815859,0.000018827202,0.00010139882,0.000010573742,0.0000030094948,0.00003286163,0.00008923573,0.0003753213,0.00064075855,0.99672216,0.0003679109,0.0016097265],"study_design_scores_gemma":[0.000011350267,0.000017668533,0.00023349759,0.0000061616006,0.0000029208109,0.00005898229,0.00005677867,0.0044649304,0.00025232162,0.9938519,0.0010269046,0.00001650273],"about_ca_topic_score_codex":0.0022786192,"about_ca_topic_score_gemma":0.0030238403,"teacher_disagreement_score":0.004925443,"about_ca_system_score_codex":0.0011428675,"about_ca_system_score_gemma":0.001552073,"threshold_uncertainty_score":0.016477227},"labels":[],"label_agreement":null},{"id":"W1978418793","doi":"10.1016/j.aim.2008.04.001","title":"Poisson statistics via the Chinese Remainder Theorem","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Modulo; Chinese remainder theorem; Mathematics; Poisson distribution; Remainder; Compound Poisson distribution; Coprime integers; Combinatorics; Modulo operation; Prime (order theory); Infinity; Primitive root modulo n; Poisson binomial distribution; Polynomial; Discrete mathematics; Compound Poisson process; Arithmetic; Poisson regression; Mathematical analysis; Statistics; Poisson process; Algorithm","score_opus":0.008861752692216352,"score_gpt":0.26104060375079174,"score_spread":0.2521788510585754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978418793","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11006061,0.0061446438,0.7550121,0.008858735,0.0015816488,0.00010653327,0.0008994693,0.0006965795,0.11663962],"genre_scores_gemma":[0.84762686,0.0056520305,0.078496836,0.0023180032,0.0039664055,0.00031779349,0.0008080135,0.00061789225,0.060196172],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974511,0.00092702126,0.00011067151,0.00030395784,0.00088222016,0.00032488976],"domain_scores_gemma":[0.99513215,0.0025999187,0.000479033,0.0007417715,0.0007733215,0.00027375593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0042912634,0.001155428,0.0022056282,0.0028840702,0.0015591801,0.0035468608,0.0018576187,0.0016316513,0.006703111],"category_scores_gemma":[0.012185704,0.0007137069,0.0017764745,0.0023015835,0.0040235175,0.0063343276,0.003068442,0.0037951192,0.0021765088],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014713027,0.00000521782,0.000094182185,0.000013971977,0.0000061969413,0.000031780713,0.000044925913,0.0014442763,0.00015607534,0.9951675,0.0009322014,0.002089062],"study_design_scores_gemma":[0.000014462157,0.000011239019,0.00012256217,0.0000126777595,0.000007735404,0.00006444606,0.000015239507,0.01996576,0.00026050946,0.9774745,0.0020288273,0.00002210174],"about_ca_topic_score_codex":0.0016131671,"about_ca_topic_score_gemma":0.00089904625,"teacher_disagreement_score":0.006703111,"about_ca_system_score_codex":0.002356865,"about_ca_system_score_gemma":0.0018626498,"threshold_uncertainty_score":0.022694647},"labels":[],"label_agreement":null},{"id":"W1982298275","doi":"10.1006/aima.2000.1933","title":"Ribbon Operators and Hall–Littlewood Symmetric Functions","year":2000,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Ribbon; Mathematics; Symmetric function; Operator (biology); Permutation (music); Combinatorics; Function (biology); Partition (number theory); Partition function (quantum field theory); Geometry; Physics; Quantum mechanics","score_opus":0.0177128727709475,"score_gpt":0.3034628104435576,"score_spread":0.2857499376726101,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982298275","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40447235,0.009803596,0.1605999,0.008258312,0.002020609,0.000057662342,0.0002832421,0.00045109194,0.4140533],"genre_scores_gemma":[0.9227543,0.0027661144,0.015022925,0.0011463393,0.0016142143,0.00005542063,0.00018539376,0.00012267342,0.05633251],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965966,0.00012440534,0.0000148636,0.000055825563,0.00007659979,0.000068625566],"domain_scores_gemma":[0.9991555,0.0003352119,0.00015568122,0.00009036081,0.00010012958,0.00016303509],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008412668,0.000856189,0.0007427538,0.0022306885,0.0017735291,0.0027292662,0.0009836752,0.001846786,0.010093364],"category_scores_gemma":[0.0022251466,0.00041544726,0.0005891212,0.0017257171,0.0036170222,0.004332987,0.0013747214,0.003022998,0.0012046512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014367209,0.000008303588,0.000031532723,0.000009120698,0.0000019003613,0.000027088376,0.000075581855,0.00020376686,0.0002443717,0.99676204,0.00072691106,0.0018949114],"study_design_scores_gemma":[0.0000059006366,0.000004632306,0.00006297273,0.000003273892,0.0000016461439,0.000034792964,0.000032427142,0.0007755445,0.00009801165,0.9975262,0.0014492818,0.0000051896345],"about_ca_topic_score_codex":0.0007257409,"about_ca_topic_score_gemma":0.0007448196,"teacher_disagreement_score":0.010093364,"about_ca_system_score_codex":0.0011514928,"about_ca_system_score_gemma":0.00047410282,"threshold_uncertainty_score":0.033765674},"labels":[],"label_agreement":null},{"id":"W1982321501","doi":"10.1016/j.aim.2011.03.015","title":"Exponentially many perfect matchings in cubic graphs","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":60,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Seventh Framework Programme; Agentúra na Podporu Výskumu a Vývoja; National Science Foundation","keywords":"Lemma (botany); Mathematics; Conjecture; Cubic graph; Exposition (narrative); Combinatorics; Graph; Exponential growth; Discrete mathematics; Line graph; Mathematical analysis; Voltage graph","score_opus":0.026881069079637696,"score_gpt":0.29544386877180084,"score_spread":0.2685627996921631,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982321501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81210566,0.0028774636,0.094738066,0.016111214,0.00062930246,0.0002136151,0.0026609574,0.001410167,0.069253616],"genre_scores_gemma":[0.960635,0.0011459047,0.019581743,0.0011984975,0.0005174105,0.00020256388,0.0012406578,0.00029126139,0.015187019],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99645114,0.0009090938,0.00017224076,0.0006250149,0.0010869913,0.0007554492],"domain_scores_gemma":[0.97318757,0.019030616,0.001932936,0.0023133154,0.0014508894,0.0020848105],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027591793,0.0009818634,0.0023658865,0.002454745,0.004154699,0.006321055,0.003988526,0.003813635,0.013833785],"category_scores_gemma":[0.035073463,0.0019019091,0.0015894459,0.0041884384,0.004333178,0.013167676,0.0047025816,0.005528253,0.0014151018],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014975475,0.00032644684,0.004397152,0.00070440135,0.00016727568,0.0005105952,0.0010256195,0.03262501,0.0039384053,0.9003973,0.023468947,0.030941384],"study_design_scores_gemma":[0.00019333664,0.00003984746,0.00084343035,0.00004055765,0.00006635118,0.00025570113,0.0002538066,0.049918167,0.0008329497,0.9450141,0.002515463,0.000026200103],"about_ca_topic_score_codex":0.0027662592,"about_ca_topic_score_gemma":0.0052787596,"teacher_disagreement_score":0.013833785,"about_ca_system_score_codex":0.0042691785,"about_ca_system_score_gemma":0.0024626052,"threshold_uncertainty_score":0.046278656},"labels":[],"label_agreement":null},{"id":"W1982652206","doi":"10.1016/j.aim.2014.09.009","title":"KAM theory and the 3D Euler equation","year":2014,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Ministerio de Economía y Competitividad; Agence Nationale de la Recherche","keywords":"Mathematics; Torus; Ergodic theory; Manifold (fluid mechanics); Euler equations; Euler's formula; Kolmogorov–Arnold–Moser theorem; Invariant (physics); Invariant manifold; Closed manifold; Euler characteristic; Mathematical analysis; Mixing (physics); Divergence (linguistics); Finsler manifold; Pure mathematics; Integrable system; Mathematical physics; Physics; Geometry; Ricci curvature","score_opus":0.027093394249213656,"score_gpt":0.3291828920368789,"score_spread":0.30208949778766525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982652206","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38084736,0.015186328,0.34296018,0.011641947,0.0018717092,0.00005913988,0.00074370235,0.0004577044,0.24623182],"genre_scores_gemma":[0.89685476,0.0060564307,0.035398945,0.001124905,0.001460466,0.00006478315,0.00036466445,0.00021448314,0.05846057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998524,0.000043839183,0.000007603584,0.000022872737,0.00005329936,0.00001996922],"domain_scores_gemma":[0.99974996,0.000085926935,0.000041446834,0.000026498363,0.000056342968,0.00003980475],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037747683,0.0005717763,0.0005603106,0.0014703611,0.00066369417,0.0014978403,0.0005321491,0.0010704864,0.004788243],"category_scores_gemma":[0.001104745,0.00027963746,0.00055283477,0.0007307429,0.0017511701,0.003030744,0.0013873113,0.0016845248,0.0007844891],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000056281633,0.000003819048,0.00005021846,0.000015498077,0.0000024689555,0.000023654022,0.00004875182,0.0015965819,0.00035808232,0.99514353,0.0006662488,0.0020856513],"study_design_scores_gemma":[0.0000038476333,0.0000036631304,0.000112792186,0.000007760536,0.0000018606114,0.00003993329,0.000023087778,0.007668124,0.00008909544,0.9891073,0.002937042,0.0000055435135],"about_ca_topic_score_codex":0.0010004062,"about_ca_topic_score_gemma":0.0005522075,"teacher_disagreement_score":0.004788243,"about_ca_system_score_codex":0.00077758275,"about_ca_system_score_gemma":0.00045943417,"threshold_uncertainty_score":0.016018271},"labels":[],"label_agreement":null},{"id":"W1982786065","doi":"10.1016/j.aim.2003.07.021","title":"Places of algebraic function fields in arbitrary characteristic","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Field (mathematics); Embedding; Rank (graph theory); Topology (electrical circuits); Prime (order theory); Space (punctuation); Algebraic number; Function space; Function (biology); Extension (predicate logic); Pure mathematics; Topological space; Function field; Spectral space; Combinatorics; Mathematical analysis","score_opus":0.01893008717072191,"score_gpt":0.280135113367476,"score_spread":0.26120502619675406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982786065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74435824,0.0020014686,0.14770852,0.0026850011,0.00050230685,0.000070038295,0.0004822762,0.0006382928,0.1015538],"genre_scores_gemma":[0.96956193,0.00051297835,0.009843649,0.00011512666,0.00031291865,0.000030928768,0.00014498406,0.0000723707,0.019405259],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991234,0.00021591622,0.00005213053,0.00015270943,0.00024030935,0.00021543121],"domain_scores_gemma":[0.9979107,0.0009470327,0.0003334744,0.00025499504,0.00020912425,0.00034471593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012076561,0.0006553893,0.0007767973,0.002315894,0.0018614002,0.00376278,0.0013890829,0.00070118444,0.0055068396],"category_scores_gemma":[0.0031720751,0.00058519485,0.0006487101,0.001524888,0.0048331586,0.008985599,0.0029039157,0.0025133134,0.00091391936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007985749,0.000018945453,0.00026558712,0.00002852644,0.000005910086,0.00009615818,0.00038306674,0.0006855829,0.0006149996,0.99365413,0.00030956022,0.0038577158],"study_design_scores_gemma":[0.000029603993,0.000035623518,0.00020500037,0.000010935954,0.000008922159,0.00012422819,0.00019853008,0.0011765093,0.0007158543,0.9949314,0.002549228,0.0000142623285],"about_ca_topic_score_codex":0.00064836245,"about_ca_topic_score_gemma":0.00084858434,"teacher_disagreement_score":0.0055068396,"about_ca_system_score_codex":0.0015807863,"about_ca_system_score_gemma":0.0007497882,"threshold_uncertainty_score":0.018422246},"labels":[],"label_agreement":null},{"id":"W1983745776","doi":"10.1016/j.aim.2005.05.025","title":"On the de Rham cohomology of differential and algebraic stacks","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; De Rham cohomology; Morphism; Epimorphism; Pure mathematics; Stack (abstract data type); Vector bundle; Connection (principal bundle); Cohomology; Differential form; Spectral sequence; Differentiable function; Algebra over a field; Equivariant cohomology; Geometry","score_opus":0.01592048337185157,"score_gpt":0.3088412454511329,"score_spread":0.2929207620792813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983745776","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4204932,0.025152436,0.14752337,0.014251019,0.0024169304,0.00007783672,0.0005332276,0.00031937883,0.38923258],"genre_scores_gemma":[0.94130015,0.00583582,0.008955467,0.0008365993,0.002036642,0.000042283344,0.00023562177,0.000095442694,0.040662017],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921024,0.00022251431,0.00004093275,0.00014131129,0.00023441309,0.00015050429],"domain_scores_gemma":[0.9985273,0.00066236296,0.0001359431,0.00015365522,0.00025991918,0.00026072157],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016396288,0.0011529916,0.0012041378,0.004247635,0.0021022642,0.0034627242,0.0011349401,0.0013732114,0.00795858],"category_scores_gemma":[0.0040361774,0.00058460224,0.0006125861,0.0026887832,0.0059198206,0.011807527,0.004199218,0.003221311,0.0008652379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014052254,0.000011037864,0.0001368126,0.000025325338,0.0000047681433,0.00004592991,0.00031551922,0.0002290092,0.00031670186,0.99557894,0.0005972456,0.002724571],"study_design_scores_gemma":[0.0000063450525,0.000009838081,0.0002562895,0.0000111452855,0.000005191785,0.00006259088,0.00010436057,0.00088095234,0.00014021264,0.99523664,0.0032772704,0.000009112388],"about_ca_topic_score_codex":0.0016786932,"about_ca_topic_score_gemma":0.0011720123,"teacher_disagreement_score":0.00795858,"about_ca_system_score_codex":0.0018331794,"about_ca_system_score_gemma":0.0005848285,"threshold_uncertainty_score":0.026624143},"labels":[],"label_agreement":null},{"id":"W1983782705","doi":"10.1016/j.aim.2014.05.022","title":"Unitary equivalence of automorphisms of separable C*-algebras","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"York University","keywords":"Mathematics; Separable space; Automorphism; Countable set; Unitary state; Equivalence relation; Quotient algebra; Equivalence (formal languages); Pure mathematics; Unital; TRACE (psycholinguistics); Matrix equivalence; Automorphisms of the symmetric and alternating groups; Congruence relation; Algebra over a field; Algebra representation; Mathematical analysis","score_opus":0.03447908360299458,"score_gpt":0.36551026557037075,"score_spread":0.3310311819673762,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983782705","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6679189,0.0014016343,0.15067433,0.0017178736,0.0009864495,0.00012771235,0.00031974728,0.0005310922,0.17632225],"genre_scores_gemma":[0.9702684,0.0005165975,0.010385512,0.000418262,0.0003778149,0.000064709166,0.00025369987,0.00010118139,0.017613837],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983076,0.00037619538,0.00010052519,0.0003146979,0.00049382297,0.0004070727],"domain_scores_gemma":[0.99833304,0.0004895474,0.00018299845,0.00023290496,0.00034647874,0.00041507644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012523677,0.0006190384,0.00076460047,0.0019640818,0.002152531,0.0031741688,0.0009714168,0.0011742488,0.006395895],"category_scores_gemma":[0.0030228586,0.00041736133,0.0011169934,0.0012149388,0.0043372987,0.0044244444,0.0030208388,0.003060248,0.00065844576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027700602,0.000024314935,0.000109092594,0.000010715771,0.0000057706948,0.000046567126,0.0003296093,0.00016190296,0.0009304374,0.9945792,0.00035260484,0.0034220754],"study_design_scores_gemma":[0.000017470753,0.000026040681,0.00031893374,0.000006699533,0.000005712289,0.00006987455,0.00016837542,0.0012613166,0.0008073427,0.99529856,0.0020082423,0.000011433607],"about_ca_topic_score_codex":0.0018607626,"about_ca_topic_score_gemma":0.0010647228,"teacher_disagreement_score":0.006395895,"about_ca_system_score_codex":0.0014125725,"about_ca_system_score_gemma":0.00096446264,"threshold_uncertainty_score":0.021396458},"labels":[],"label_agreement":null},{"id":"W1984348230","doi":"10.1016/j.aim.2010.01.001","title":"Moduli of smoothness and approximation on the unit sphere and the unit ball","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Unit sphere; Mathematics; Moduli; Ball (mathematics); Smoothness; Mathematical analysis; Euler's formula; Equivalence (formal languages); Inverse; Pure mathematics; Geometry; Physics","score_opus":0.028767240288340455,"score_gpt":0.3054138545514082,"score_spread":0.27664661426306775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984348230","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7113308,0.005009344,0.2024318,0.0090344995,0.0004665067,0.000042955322,0.00060406385,0.0003464354,0.07073363],"genre_scores_gemma":[0.97244126,0.00142373,0.014436076,0.00025208434,0.0006608532,0.000035459405,0.0003812518,0.00009537033,0.010273832],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986349,0.0003765474,0.00007383314,0.00022790102,0.00053082756,0.00015599352],"domain_scores_gemma":[0.9947949,0.0025042763,0.00070076337,0.00048405753,0.0006150813,0.00090084976],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020426423,0.00094833167,0.0012766188,0.0032852134,0.0015923808,0.00482151,0.001520882,0.002584754,0.0036218853],"category_scores_gemma":[0.012654316,0.0006687186,0.0008646383,0.0018598735,0.004616971,0.009160681,0.00423415,0.00453883,0.00037379313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003903734,0.0000065980507,0.00017350548,0.000016710996,0.0000065525073,0.00002062018,0.0000882759,0.0011623701,0.00028054396,0.99588627,0.00043351084,0.0018859177],"study_design_scores_gemma":[0.000016069895,0.000025729065,0.0007798322,0.000012701767,0.000009904568,0.000078253805,0.000098106684,0.013688936,0.000333128,0.9829373,0.0020057042,0.000014276214],"about_ca_topic_score_codex":0.002134832,"about_ca_topic_score_gemma":0.00097114895,"teacher_disagreement_score":0.00482151,"about_ca_system_score_codex":0.002503606,"about_ca_system_score_gemma":0.00070862763,"threshold_uncertainty_score":0.018164992},"labels":[],"label_agreement":null},{"id":"W1986870755","doi":"10.1006/aima.1999.1862","title":"Factorizations in Schubert Cells","year":2000,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Bijection; Permutation (music); Coxeter group; Combinatorics; Type (biology); Physics; Injective function; Mathematics","score_opus":0.019738715343347,"score_gpt":0.32325367765929025,"score_spread":0.30351496231594327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986870755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55756336,0.0016144841,0.18124469,0.002351813,0.001353779,0.0002046766,0.0008027965,0.00068146264,0.25418288],"genre_scores_gemma":[0.9130797,0.00085183315,0.023824323,0.00046205192,0.0005578289,0.00011827209,0.000584549,0.00019818866,0.060323384],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993678,0.000111656474,0.000040181345,0.000119052485,0.00016415633,0.00019725904],"domain_scores_gemma":[0.9993944,0.00016858982,0.00008727102,0.000065272776,0.00013415757,0.00015019347],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000598846,0.00090886065,0.0008951221,0.0028952304,0.00360646,0.0037107558,0.0009082028,0.001038681,0.012988138],"category_scores_gemma":[0.0013829232,0.000742075,0.0009967088,0.0016992448,0.0031994039,0.004647339,0.0024055967,0.0024836704,0.0027590494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000335102,0.000011705643,0.00008880374,0.000017357677,0.000004200734,0.00008209041,0.000282876,0.00018533724,0.00060449867,0.9945359,0.0010067871,0.0031469716],"study_design_scores_gemma":[0.000013114882,0.000011500971,0.00014125844,0.000009473333,0.0000066698876,0.00010326432,0.00019173075,0.00063580094,0.0004179454,0.99425477,0.004203809,0.000010716516],"about_ca_topic_score_codex":0.0013625744,"about_ca_topic_score_gemma":0.0018698703,"teacher_disagreement_score":0.012988138,"about_ca_system_score_codex":0.0011099771,"about_ca_system_score_gemma":0.00048389245,"threshold_uncertainty_score":0.0434497},"labels":[],"label_agreement":null},{"id":"W1991048298","doi":"10.1016/j.aim.2004.12.007","title":"Rational homology spheres and the four-ball genus of knots","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Imperial College London; McMaster University","keywords":"Mathematics; Floer homology; Khovanov homology; Bounding overwatch; Homology (biology); Pairing; Ball (mathematics); Combinatorics; Pure mathematics; Morse homology; Cellular homology; Topology (electrical circuits); Mathematical analysis; Algebra over a field; Symplectic geometry; Artificial intelligence; Computer science","score_opus":0.023864550621229563,"score_gpt":0.3037460355950943,"score_spread":0.2798814849738647,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991048298","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7944823,0.0026851224,0.040235385,0.0040663113,0.0004117046,0.000045451037,0.00015825845,0.00037826644,0.15753725],"genre_scores_gemma":[0.9896588,0.00049827335,0.002184066,0.0000986562,0.00015988272,0.000011165441,0.00006322758,0.00003783767,0.0072881184],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948704,0.000114357885,0.000020892081,0.00007566167,0.00018583106,0.000116166404],"domain_scores_gemma":[0.99898916,0.00032995775,0.00018896829,0.00008284019,0.00011365742,0.0002954303],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068045966,0.00092452334,0.0010881237,0.004465475,0.0018480179,0.0039251624,0.0012419814,0.0014166847,0.006073238],"category_scores_gemma":[0.0032321173,0.00047085,0.00052835525,0.0018068083,0.006372396,0.004481204,0.003792252,0.002411908,0.00074859237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042446278,0.000010077548,0.0003891757,0.000020915644,0.0000051971974,0.00007602563,0.00053591403,0.0013071274,0.00047041647,0.9925358,0.0005724196,0.004034464],"study_design_scores_gemma":[0.000013307495,0.000009256566,0.00052648503,0.000013905297,0.0000068459703,0.00007485084,0.00025775624,0.0036739686,0.00025394847,0.99277097,0.0023882748,0.000010532849],"about_ca_topic_score_codex":0.003415078,"about_ca_topic_score_gemma":0.0018133838,"teacher_disagreement_score":0.006073238,"about_ca_system_score_codex":0.0023347493,"about_ca_system_score_gemma":0.00044227226,"threshold_uncertainty_score":0.020317018},"labels":[],"label_agreement":null},{"id":"W1991137206","doi":"10.1006/aima.2001.2008","title":"Mean Curvature Flow of Surface in 4-Manifolds","year":2001,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mean curvature flow; Surface (topology); Curvature; Geometry; Flow (mathematics); Mean curvature; Mathematical analysis","score_opus":0.020758085167279908,"score_gpt":0.30534913449976825,"score_spread":0.28459104933248836,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991137206","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70131564,0.005043749,0.24741691,0.005698597,0.00082289806,0.000119680335,0.0005659715,0.00052155356,0.038495008],"genre_scores_gemma":[0.9403335,0.0020255537,0.029827926,0.0004458667,0.0009759534,0.00008239206,0.00033416075,0.00018501055,0.025789626],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960846,0.00012492709,0.000018021583,0.00008139571,0.00010401668,0.000063248466],"domain_scores_gemma":[0.9985777,0.00036719977,0.00027232777,0.000085395426,0.0003330681,0.0003642536],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010271001,0.0010484003,0.0008858163,0.004944245,0.0017018846,0.0025977583,0.0011669263,0.0017551616,0.004913433],"category_scores_gemma":[0.003945403,0.0005349332,0.0009919996,0.0014354569,0.0023320199,0.0043437923,0.0019396197,0.002022805,0.00053992873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000560649,0.000022996375,0.00065383903,0.00005072476,0.00001721367,0.00007714903,0.0003981795,0.0049577234,0.002095446,0.98372215,0.0015961257,0.006352447],"study_design_scores_gemma":[0.000012109268,0.000042583873,0.0011083313,0.000015490206,0.000012893913,0.00011875988,0.00009604078,0.034818225,0.00053825794,0.9603686,0.0028402735,0.000028544697],"about_ca_topic_score_codex":0.0029623571,"about_ca_topic_score_gemma":0.0021438969,"teacher_disagreement_score":0.004944245,"about_ca_system_score_codex":0.0029634614,"about_ca_system_score_gemma":0.0009383364,"threshold_uncertainty_score":0.021501541},"labels":[],"label_agreement":null},{"id":"W1992614979","doi":"10.1016/j.aim.2009.06.008","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>-singular dichotomy for orbital measures of classical compact Lie groups","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Conjugacy class; Exponent; Lie group; Combinatorics; Geometry","score_opus":0.024434624747729172,"score_gpt":0.28428713426580793,"score_spread":0.25985250951807876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992614979","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006761457,0.0006082674,0.09587371,0.0091476,0.0014983262,0.00014445095,0.06259883,0.031504367,0.79186285],"genre_scores_gemma":[0.10276919,0.0025740205,0.10621162,0.0024760535,0.0015696633,0.00044330177,0.103290714,0.043931413,0.636734],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997441,0.000044497174,0.000021401105,0.000045410477,0.00012162538,0.000022843928],"domain_scores_gemma":[0.99914753,0.0002521834,0.0000694517,0.0001876323,0.00023529738,0.000107849526],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000442295,0.00068179425,0.00066166185,0.001981598,0.0007977688,0.0042295586,0.0013071757,0.000924971,0.4213307],"category_scores_gemma":[0.0018443465,0.00044411974,0.0005155622,0.0024322162,0.00068353466,0.0045062983,0.0012449422,0.0019281023,0.20324741],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008386938,0.000033594253,0.0002150351,0.00022106356,0.000009284108,0.000070393115,0.00023513206,0.00028561556,0.0017911127,0.19725381,0.7500702,0.049730923],"study_design_scores_gemma":[0.000060282506,0.000025943978,0.0017963893,0.00007879434,0.000008683905,0.00023716332,0.00020331556,0.003869276,0.005519874,0.17001691,0.81813246,0.00005090772],"about_ca_topic_score_codex":0.0036664875,"about_ca_topic_score_gemma":0.0041412003,"teacher_disagreement_score":0.4213307,"about_ca_system_score_codex":0.0013059537,"about_ca_system_score_gemma":0.00059624837,"threshold_uncertainty_score":0.82540154},"labels":[],"label_agreement":null},{"id":"W1994243491","doi":"10.1016/j.aim.2009.09.010","title":"Lie algebroid structures on double vector bundles and representation theory of Lie algebroids","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":104,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Japan Society for the Promotion of Science; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Lie algebroid; Mathematics; Pure mathematics; Vector bundle; Equivalence of categories; Equivalence (formal languages); Fundamental representation; Characteristic class; Representation (politics); Adjoint representation; Algebra over a field; Lie group; Lie algebra; Weight; Functor","score_opus":0.03735511667893919,"score_gpt":0.3524816240743696,"score_spread":0.3151265073954304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994243491","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62711036,0.010537745,0.13974667,0.010495602,0.0013053725,0.00009578991,0.00055477297,0.0003026626,0.20985103],"genre_scores_gemma":[0.9493118,0.0029163032,0.014405845,0.00057620654,0.0016403971,0.00007307997,0.00031741557,0.00007072529,0.030688345],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931777,0.00020116719,0.00003879291,0.00010910382,0.00022176815,0.00011129826],"domain_scores_gemma":[0.9990907,0.00021973421,0.00016921418,0.00008301033,0.00022568421,0.00021166848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010296715,0.0010923778,0.0011015413,0.0029734971,0.0029078312,0.0051977495,0.0012898085,0.001880797,0.0051834024],"category_scores_gemma":[0.0019076321,0.00056914304,0.0009766291,0.002495359,0.0045940448,0.007359542,0.002352945,0.0031256997,0.00082867825],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007171256,0.000011293757,0.000050463237,0.000012961366,0.0000037452648,0.000028114411,0.00016516825,0.00034775003,0.00025325565,0.9977888,0.00030355083,0.0010277054],"study_design_scores_gemma":[0.000004798751,0.000007434926,0.00006782479,0.000004859973,0.0000022531033,0.00003106818,0.0000670724,0.0010819249,0.000059400354,0.99772567,0.00094231596,0.0000052998075],"about_ca_topic_score_codex":0.0018716609,"about_ca_topic_score_gemma":0.0012251128,"teacher_disagreement_score":0.0051977495,"about_ca_system_score_codex":0.002192784,"about_ca_system_score_gemma":0.0009307164,"threshold_uncertainty_score":0.017340183},"labels":[],"label_agreement":null},{"id":"W1998281772","doi":"10.1016/j.aim.2012.04.009","title":"New Calabi–Yau orbifolds with mirror Hodge diamonds","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mirror symmetry; Calabi–Yau manifold; Orbifold; Quintic function; Pure mathematics; Hodge structure; Hodge theory; Hodge conjecture; Cohomology; Resolution (logic); Algebra over a field","score_opus":0.022868023293259137,"score_gpt":0.31017563361725997,"score_spread":0.2873076103240008,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998281772","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8028056,0.0016946014,0.029027577,0.0016563131,0.0011830782,0.00014148273,0.0004119024,0.0005676428,0.16251178],"genre_scores_gemma":[0.9449703,0.000686013,0.02161326,0.0005161695,0.00041207322,0.000106865824,0.0004135257,0.00018798998,0.031093933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997085,0.000046002522,0.000015935644,0.00005446943,0.0001067803,0.00006833574],"domain_scores_gemma":[0.9996061,0.000058176298,0.000058551,0.00006447801,0.00005484277,0.00015803026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037331984,0.0007127628,0.0009319271,0.0025500283,0.0018295924,0.0025143092,0.00084349146,0.001576074,0.006794963],"category_scores_gemma":[0.00093699404,0.0005445287,0.00057103235,0.0008191789,0.0017178654,0.002190484,0.0018063509,0.0018531687,0.0007488981],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000108318854,0.000043159587,0.00025775936,0.000043297656,0.00001060994,0.00041731974,0.00020876677,0.00047527533,0.0049234414,0.98623484,0.0017043232,0.0055728266],"study_design_scores_gemma":[0.0001525957,0.00006364654,0.0010271092,0.000027256838,0.00002088197,0.0015665996,0.0003894004,0.0054794075,0.0026053172,0.97545093,0.013175175,0.0000418178],"about_ca_topic_score_codex":0.0005633131,"about_ca_topic_score_gemma":0.0007046897,"teacher_disagreement_score":0.006794963,"about_ca_system_score_codex":0.00086744654,"about_ca_system_score_gemma":0.00046429466,"threshold_uncertainty_score":0.022731423},"labels":[],"label_agreement":null},{"id":"W1998570892","doi":"10.1006/aima.2001.2068","title":"Primitive Limit Algebras and C*-Envelopes","year":2002,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Ideal (ethics); Quotient; Prime (order theory); Pure mathematics; Limit (mathematics); Prime ideal; Quotient algebra; Algebra over a field; Algebra representation; Combinatorics; Mathematical analysis","score_opus":0.056812499682116296,"score_gpt":0.34756630153822043,"score_spread":0.2907538018561041,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998570892","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43224728,0.005046354,0.19753312,0.007224881,0.00084224297,0.00007551858,0.00034336155,0.00052646734,0.35616085],"genre_scores_gemma":[0.95362455,0.0016943559,0.014137593,0.0006278849,0.00071620767,0.000073346266,0.00024669452,0.00008917505,0.028790241],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993349,0.00015636152,0.000034853983,0.00011188091,0.00024231007,0.0001196703],"domain_scores_gemma":[0.9983285,0.0007231146,0.00018311878,0.00019266529,0.00028405385,0.00028847533],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016093266,0.0008125574,0.00086102413,0.002293876,0.0032014407,0.005296509,0.0011151774,0.0019132547,0.006762663],"category_scores_gemma":[0.0039268127,0.0005336463,0.0007050783,0.002249563,0.005980826,0.00987055,0.0027709052,0.0045012464,0.0009850031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005856663,0.0000048392017,0.000026701846,0.0000061263377,0.0000010986496,0.000014294241,0.00007209925,0.00007535054,0.000104526305,0.99866116,0.00020833044,0.00081963046],"study_design_scores_gemma":[0.0000041365583,0.000002667904,0.000031559335,0.0000025897527,0.0000010419712,0.000024347637,0.000026382848,0.00044793927,0.00008497423,0.99860555,0.00076577335,0.0000030532965],"about_ca_topic_score_codex":0.0009144333,"about_ca_topic_score_gemma":0.0005394128,"teacher_disagreement_score":0.006762663,"about_ca_system_score_codex":0.0015760972,"about_ca_system_score_gemma":0.000743015,"threshold_uncertainty_score":0.0226233},"labels":[],"label_agreement":null},{"id":"W1999370902","doi":"10.1016/j.aim.2004.08.004","title":"Smallest singular value of random matrices and geometry of random polytopes","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":263,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Polytope; Singular value; Random matrix; Combinatorics; Isomorphism (crystallography); Dimension (graph theory); Matrix (chemical analysis); Multivariate random variable; Regular polygon; Convex hull; Random variable; Geometry; Statistics; Eigenvalues and eigenvectors","score_opus":0.01830570104178682,"score_gpt":0.3034575945440424,"score_spread":0.2851518935022556,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999370902","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22326562,0.0026412583,0.75932056,0.0027527725,0.00022433796,0.000087913606,0.0006379717,0.0002564271,0.010813172],"genre_scores_gemma":[0.9417759,0.0032914414,0.04605702,0.00041945168,0.0008749259,0.00020027034,0.0008749818,0.00013685373,0.0063691144],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99718827,0.0010046177,0.00012602634,0.0006775197,0.000684946,0.00031868566],"domain_scores_gemma":[0.9652646,0.024917947,0.0034410655,0.0015073996,0.0022845727,0.0025844926],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035933547,0.0016990369,0.0026506092,0.004331465,0.0011346499,0.00400659,0.0023021991,0.0019975614,0.004166228],"category_scores_gemma":[0.028510487,0.0011673238,0.0012502761,0.0018309705,0.006741614,0.0055936845,0.0028049801,0.004103745,0.0005359994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000967684,0.0000480977,0.0011991159,0.00013201292,0.00005876324,0.000109655484,0.00014507664,0.049896803,0.0016629684,0.93857837,0.0012913964,0.0067809327],"study_design_scores_gemma":[0.000020924062,0.000057157366,0.0008468853,0.000031093976,0.00001688966,0.00009103676,0.00006528006,0.13316396,0.0005765774,0.8642631,0.0008179272,0.00004904793],"about_ca_topic_score_codex":0.0019140946,"about_ca_topic_score_gemma":0.0013484604,"teacher_disagreement_score":0.004331465,"about_ca_system_score_codex":0.0017616426,"about_ca_system_score_gemma":0.0010479055,"threshold_uncertainty_score":0.01900369},"labels":[],"label_agreement":null},{"id":"W2002912800","doi":"10.1016/j.aim.2012.09.020","title":"Holomorphic Banach vector bundles on the maximal ideal space of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> and the operator corona problem of Sz.-Nagy","year":2012,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Holomorphic function; Banach space; Ideal (ethics); Pointwise; Vector bundle; Bounded function; Maximal ideal; Pure mathematics; Mathematical analysis","score_opus":0.019407223051301145,"score_gpt":0.2555083337023374,"score_spread":0.23610111065103623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002912800","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6027878,0.0040624896,0.17056479,0.0064261705,0.0007192177,0.00008315233,0.00065037335,0.00028258355,0.21442339],"genre_scores_gemma":[0.92708486,0.0014418832,0.016777134,0.00027760005,0.00061284826,0.000056825465,0.00047974143,0.00013045219,0.05313868],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999426,0.0001541534,0.000024815308,0.00012532453,0.00012857383,0.00014120115],"domain_scores_gemma":[0.9989736,0.00020014281,0.00018403569,0.000059900718,0.00025446797,0.00032785675],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007475444,0.00075130025,0.0006975968,0.0013610636,0.0014420919,0.002337123,0.0005578455,0.00059615774,0.0067023267],"category_scores_gemma":[0.0017038211,0.00028981827,0.0006176685,0.0007524746,0.002487727,0.003836613,0.0014913185,0.0015385798,0.0008236317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003868785,0.000016674987,0.00021700973,0.000032471915,0.000010818765,0.00007040472,0.00012481754,0.0006275751,0.0008669494,0.99353373,0.001441439,0.0030194977],"study_design_scores_gemma":[0.000029271623,0.000051307296,0.0012737704,0.000024335624,0.000010825699,0.00023530381,0.0002409434,0.009081267,0.0009907804,0.98086816,0.0071753757,0.00001870085],"about_ca_topic_score_codex":0.001313104,"about_ca_topic_score_gemma":0.00091443595,"teacher_disagreement_score":0.0067023267,"about_ca_system_score_codex":0.001954049,"about_ca_system_score_gemma":0.0014239737,"threshold_uncertainty_score":0.022421539},"labels":[],"label_agreement":null},{"id":"W2003173901","doi":"10.1016/j.aim.2010.04.006","title":"Nonseparable UHF algebras I: Dixmier's problem","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Counterexample; Cardinality (data modeling); Axiom; Separable space; Set (abstract data type); Discrete mathematics; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.023062698551423868,"score_gpt":0.3668175942688414,"score_spread":0.3437548957174176,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003173901","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31471673,0.011055872,0.32364136,0.024358124,0.0023296208,0.000115616735,0.0007114879,0.00039520886,0.32267597],"genre_scores_gemma":[0.9257733,0.0036310265,0.03036997,0.0016112584,0.0014064686,0.000084973806,0.00029919713,0.000076538854,0.03674727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949443,0.00012274341,0.000021427533,0.00012574508,0.000120556266,0.00011501388],"domain_scores_gemma":[0.9991559,0.0004631174,0.000079788275,0.00008450145,0.00010717924,0.000109487824],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014554738,0.0006839532,0.0010799257,0.0019375115,0.0030474728,0.0027194072,0.0014791721,0.0024432114,0.008448786],"category_scores_gemma":[0.0030794162,0.00048345534,0.0007150171,0.0019777243,0.0042424235,0.008524665,0.0030988054,0.004496723,0.0008434428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012666828,0.000007905071,0.000036231577,0.0000168315,0.000002082904,0.00001803887,0.00006475055,0.00016186811,0.000098972916,0.99683857,0.00085192337,0.0018900962],"study_design_scores_gemma":[0.0000054677935,0.000004546485,0.00004940638,0.000006538527,0.0000023056818,0.000034149605,0.00005697039,0.0009083268,0.00011264636,0.99724674,0.0015684463,0.0000045537886],"about_ca_topic_score_codex":0.0011040637,"about_ca_topic_score_gemma":0.00050682476,"teacher_disagreement_score":0.008448786,"about_ca_system_score_codex":0.0015871796,"about_ca_system_score_gemma":0.0008589825,"threshold_uncertainty_score":0.028263986},"labels":[],"label_agreement":null},{"id":"W2004440589","doi":"10.1016/j.aim.2007.03.012","title":"The crystal structure on the set of Mirković–Vilonen polytopes","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":68,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Polytope; Counterexample; Mathematics; Conjecture; Crystal (programming language); Affine transformation; Combinatorics; Basis (linear algebra); Set (abstract data type); Pure mathematics; Geometry; Computer science","score_opus":0.024156616465252453,"score_gpt":0.33307098335510066,"score_spread":0.3089143668898482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004440589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7096226,0.0017696983,0.09145394,0.0023212603,0.00034921296,0.00008989464,0.0025472732,0.00023542077,0.19161068],"genre_scores_gemma":[0.95435154,0.0009645274,0.017572192,0.00029921296,0.00029232324,0.00015782625,0.0023713382,0.0001325715,0.02385845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995011,0.000087145105,0.000022142298,0.00009359296,0.0002055056,0.00009050593],"domain_scores_gemma":[0.99914837,0.00026742925,0.00018212933,0.000062905965,0.00016358538,0.000175644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003436561,0.0006143563,0.0013887157,0.0023658166,0.002837763,0.004589786,0.0014609228,0.0012679102,0.009550996],"category_scores_gemma":[0.0017292603,0.00060874975,0.0006941619,0.0015509798,0.0024906134,0.0021465702,0.0015863283,0.0022934536,0.0014363731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007044179,0.000021564016,0.00036725518,0.00006117491,0.000015337853,0.00009072134,0.00012547527,0.004873693,0.0008245416,0.9858131,0.0033043516,0.0044323946],"study_design_scores_gemma":[0.000058747893,0.000032529857,0.00087241706,0.0000553246,0.000013088389,0.0003068038,0.00024474508,0.02875938,0.0008495484,0.96044135,0.008327715,0.000038402315],"about_ca_topic_score_codex":0.0026245173,"about_ca_topic_score_gemma":0.00183179,"teacher_disagreement_score":0.009550996,"about_ca_system_score_codex":0.0015267681,"about_ca_system_score_gemma":0.00097301847,"threshold_uncertainty_score":0.03195125},"labels":[],"label_agreement":null},{"id":"W2004815212","doi":"10.1016/j.aim.2009.02.004","title":"Hurwitz–Hodge integrals, the <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mi>E</mml:mi><mml:mn>6</mml:mn></mml:msub></mml:math> and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mi>D</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math> root systems, and the Crepant Resolution Conjecture","year":2009,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Scroll; Algorithm; Theology; Philosophy","score_opus":0.016117676662428002,"score_gpt":0.2557839785972651,"score_spread":0.2396663019348371,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004815212","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22953792,0.0083019715,0.085566066,0.007162263,0.0010486516,0.000050272,0.00051948964,0.00047209984,0.66734123],"genre_scores_gemma":[0.90949017,0.0022445838,0.013500197,0.0006066141,0.0005640601,0.000026116484,0.0005176055,0.00015725146,0.07289338],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995851,0.00008862971,0.000016841666,0.000097535,0.00013343383,0.000078436016],"domain_scores_gemma":[0.99928516,0.00026044142,0.000100383724,0.00011141537,0.00013121431,0.00011147011],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059551914,0.0004272743,0.00044719072,0.0019153431,0.0016682373,0.0025536255,0.0005677749,0.0006398524,0.018154135],"category_scores_gemma":[0.0036035362,0.00023493235,0.0004609494,0.0014138988,0.0025618784,0.004366912,0.0018281091,0.0019758155,0.0022051937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017828419,0.000008249854,0.00029369112,0.000029672843,0.0000054678894,0.000065399676,0.0002448771,0.0004375781,0.00023442514,0.9820541,0.0066360054,0.00997269],"study_design_scores_gemma":[0.000008171347,0.000008079013,0.00052276277,0.000014008854,0.000004838898,0.00017939594,0.00015392872,0.0018117934,0.00041856413,0.9801902,0.016679335,0.00000893596],"about_ca_topic_score_codex":0.0020949855,"about_ca_topic_score_gemma":0.002020766,"teacher_disagreement_score":0.018154135,"about_ca_system_score_codex":0.0012416627,"about_ca_system_score_gemma":0.0007354187,"threshold_uncertainty_score":0.06073165},"labels":[],"label_agreement":null},{"id":"W2006085047","doi":"10.1016/j.aim.2013.01.012","title":"Polynomiality of monotone Hurwitz numbers in higher genera","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; University of Waterloo","funders":"","keywords":"Mathematics; Monotone polygon; Hurwitz polynomial; Combinatorics; Generating function; Genus; Partition (number theory); Hurwitz matrix; Routh–Hurwitz stability criterion; Polynomial; Discrete mathematics; Mathematical analysis","score_opus":0.03258527575896695,"score_gpt":0.30729139561915764,"score_spread":0.27470611986019067,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006085047","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76040417,0.0014792294,0.11534562,0.0026794458,0.00028514865,0.00006304776,0.00028324683,0.00033987628,0.11912009],"genre_scores_gemma":[0.9822412,0.00051455986,0.0062850984,0.00020734716,0.000377781,0.000042226766,0.00013876331,0.000079810554,0.010113141],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998769,0.00028032006,0.000046086396,0.00021084373,0.00040371093,0.00029005585],"domain_scores_gemma":[0.99600863,0.0023807124,0.00039139975,0.0003217817,0.00041572092,0.00048177532],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013984638,0.0010254713,0.0011480455,0.0035438265,0.0026505878,0.0031850063,0.0014618691,0.00088943023,0.009543439],"category_scores_gemma":[0.0068139117,0.0006411789,0.0010104805,0.0020745017,0.006798118,0.006264821,0.0031670341,0.0033787088,0.00086012954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031577565,0.0000099489325,0.00024514692,0.00002189282,0.000004002759,0.00004876498,0.0002791308,0.0005210557,0.00051591336,0.9958566,0.00032793178,0.002138019],"study_design_scores_gemma":[0.000014381295,0.000014295422,0.00029183595,0.000007283632,0.000006321458,0.000053723117,0.00006694857,0.0030897115,0.000338571,0.9953833,0.0007231608,0.0000104409555],"about_ca_topic_score_codex":0.0016639741,"about_ca_topic_score_gemma":0.0021843319,"teacher_disagreement_score":0.009543439,"about_ca_system_score_codex":0.0021633962,"about_ca_system_score_gemma":0.0007116273,"threshold_uncertainty_score":0.031926036},"labels":[],"label_agreement":null},{"id":"W2006881770","doi":"10.1016/s0001-8708(02)00015-4","title":"Spectral flow and Dixmier traces","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":95,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Ergodic theory; Toeplitz matrix; TRACE (psycholinguistics); Fredholm determinant; Pure mathematics; Differential operator; Character (mathematics); Algebra over a field","score_opus":0.02954481912762308,"score_gpt":0.358985292146871,"score_spread":0.32944047301924795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006881770","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3984879,0.0040647676,0.21630675,0.011306705,0.0017014556,0.000075623226,0.00041544795,0.00044756403,0.3671938],"genre_scores_gemma":[0.9100588,0.0019039297,0.016578821,0.000788024,0.0012743595,0.00005061646,0.00017770566,0.00012600534,0.06904169],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995883,0.0000929733,0.000022921802,0.000078798104,0.00013517952,0.00008189222],"domain_scores_gemma":[0.99918324,0.00031215197,0.000096508265,0.00008957114,0.0001556358,0.00016289024],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011257093,0.00090336497,0.0007131056,0.003670688,0.0025157807,0.0034657896,0.0010155723,0.0016117118,0.010833768],"category_scores_gemma":[0.0029988207,0.0004172674,0.0007243469,0.0021405679,0.003929811,0.009496539,0.0027116952,0.0030890957,0.0009880847],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005585049,0.0000049917126,0.00002438856,0.0000040490945,8.637034e-7,0.0000106446605,0.000054212567,0.00006635665,0.000076583616,0.9986884,0.00019640737,0.0008675757],"study_design_scores_gemma":[0.0000038893763,0.000004322211,0.000042639378,0.000003239546,0.0000017914359,0.00003668348,0.00004243055,0.00077191973,0.00013229492,0.9976609,0.0012956443,0.000004258888],"about_ca_topic_score_codex":0.0012481053,"about_ca_topic_score_gemma":0.00086311676,"teacher_disagreement_score":0.010833768,"about_ca_system_score_codex":0.0015519084,"about_ca_system_score_gemma":0.00082587154,"threshold_uncertainty_score":0.036242545},"labels":[],"label_agreement":null},{"id":"W2006971777","doi":"10.1016/j.aim.2010.04.023","title":"Locally compact abelian groups with symplectic self-duality","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Waterloo","keywords":"Mathematics; Abelian group; Symplectic geometry; Pure mathematics; Duality (order theory); Symplectic group; Symplectomorphism; Locally compact space; Counterexample; Elementary abelian group; Discrete mathematics","score_opus":0.014731105188018723,"score_gpt":0.3256787633443108,"score_spread":0.31094765815629205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006971777","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7019367,0.0013055645,0.1261975,0.0042628604,0.00086681935,0.0001041799,0.00025468238,0.00038054833,0.16469118],"genre_scores_gemma":[0.9621902,0.00031921614,0.009094567,0.000309425,0.0005057143,0.000061447456,0.00012382225,0.00006435274,0.027331349],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928087,0.00018197724,0.000040717412,0.00013602288,0.00023895697,0.000121424186],"domain_scores_gemma":[0.9989594,0.00032279166,0.00019285343,0.00013966186,0.00012004911,0.00026533564],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000865703,0.0009237094,0.0010213908,0.0025022891,0.0022680946,0.0029671001,0.0008544844,0.0012628325,0.008230258],"category_scores_gemma":[0.0017741201,0.00060148584,0.00074543065,0.0012558815,0.004337085,0.0062144096,0.004771414,0.002372104,0.0008902815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002182078,0.000013096383,0.00008862348,0.000011466724,0.000004724613,0.00008515045,0.00024780846,0.00014744086,0.00040079726,0.9974885,0.00026416156,0.0012263859],"study_design_scores_gemma":[0.000023096727,0.000020647636,0.00015375008,0.00000473027,0.0000069104217,0.00022357685,0.00015313168,0.0009399898,0.0003109248,0.99635774,0.0017991576,0.0000063025564],"about_ca_topic_score_codex":0.00019942182,"about_ca_topic_score_gemma":0.00024151886,"teacher_disagreement_score":0.008230258,"about_ca_system_score_codex":0.00080393424,"about_ca_system_score_gemma":0.00045125792,"threshold_uncertainty_score":0.027532995},"labels":[],"label_agreement":null},{"id":"W2007248949","doi":"10.1016/j.aim.2008.03.001","title":"Carleson measures for the Drury–Arveson Hardy space and other Besov–Sobolev spaces on complex balls","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":96,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Unit sphere; Pure mathematics; Maximal function; Hardy space; Sobolev space; Measure (data warehouse); Function space; Ball (mathematics); Mathematical analysis","score_opus":0.08573411635241313,"score_gpt":0.33654639262774516,"score_spread":0.25081227627533204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007248949","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3784986,0.018423975,0.45875767,0.011558945,0.0017950323,0.00017600958,0.00075137895,0.00028184627,0.1297566],"genre_scores_gemma":[0.9041342,0.005545699,0.03739645,0.0011403745,0.0018370552,0.00016501165,0.00042829427,0.00021748451,0.04913537],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988933,0.000386468,0.00006777813,0.00019506525,0.00029563476,0.0001617589],"domain_scores_gemma":[0.993129,0.0026385419,0.0010169056,0.00036333117,0.0011399485,0.0017123378],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0039441157,0.0019917958,0.0012547779,0.0071068443,0.0023834081,0.004666797,0.0015625026,0.0026934748,0.008702725],"category_scores_gemma":[0.010752247,0.00063948147,0.0014779789,0.0019253128,0.004068143,0.00679833,0.0038363887,0.0037411898,0.0008047627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014597157,0.000007923707,0.00017032516,0.000020720068,0.000008810262,0.000037323807,0.000111393885,0.0005678125,0.00045635723,0.9969091,0.00043727498,0.001258317],"study_design_scores_gemma":[0.0000155842,0.000023811956,0.0009546931,0.000037227586,0.000014502997,0.00017063181,0.00016245121,0.019828008,0.0005250069,0.97239697,0.00582491,0.000046244135],"about_ca_topic_score_codex":0.0030471322,"about_ca_topic_score_gemma":0.0019608,"teacher_disagreement_score":0.008702725,"about_ca_system_score_codex":0.0036578528,"about_ca_system_score_gemma":0.0011571276,"threshold_uncertainty_score":0.029113531},"labels":[],"label_agreement":null},{"id":"W2007453484","doi":"10.1016/j.aim.2012.01.009","title":"Isoperimetry for semilinear torsion problems in Riemannian two-manifolds","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Isoperimetric inequality; Torsion (gastropod); Riemannian manifold; Pure mathematics; Manifold (fluid mechanics); Boundary (topology); Mathematical analysis","score_opus":0.05504168225504564,"score_gpt":0.3901462042344666,"score_spread":0.335104521979421,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007453484","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4502173,0.00495594,0.44640595,0.00877674,0.001765329,0.00019385618,0.00054429885,0.00035252306,0.086788125],"genre_scores_gemma":[0.8683114,0.0040673474,0.049516376,0.0010420873,0.002976744,0.00031512743,0.00089866447,0.0003988366,0.07247336],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992417,0.00028947287,0.000047659847,0.000121207006,0.00020726911,0.000092751034],"domain_scores_gemma":[0.99721634,0.001114642,0.0004237209,0.00018838918,0.00038030115,0.00067668856],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020875768,0.0018241771,0.0013551719,0.0040467014,0.0019879746,0.0026024315,0.002169472,0.0022301546,0.00938914],"category_scores_gemma":[0.00673383,0.0005171576,0.0014049768,0.001529889,0.0037730362,0.00802125,0.004742854,0.0046816515,0.0008875648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032979948,0.000042487536,0.00021486683,0.00006492994,0.000014207296,0.00008231061,0.00023406307,0.002372107,0.00072221714,0.99028355,0.0011727388,0.0047634775],"study_design_scores_gemma":[0.000016133663,0.000029956465,0.00019099424,0.000012232206,0.0000056290933,0.00006024022,0.00008854806,0.016225558,0.00014582743,0.98210377,0.0011086087,0.0000124556345],"about_ca_topic_score_codex":0.001123968,"about_ca_topic_score_gemma":0.00094635773,"teacher_disagreement_score":0.00938914,"about_ca_system_score_codex":0.0016739307,"about_ca_system_score_gemma":0.0010406253,"threshold_uncertainty_score":0.0314098},"labels":[],"label_agreement":null},{"id":"W2008436722","doi":"10.1016/j.aim.2010.03.018","title":"Vector invariants for the two-dimensional modular representation of a cyclic group of prime order","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Prime (order theory); Cyclic group; Modular design; Order (exchange); Algebra over a field; Pure mathematics; Combinatorics; Abelian group; Computer science","score_opus":0.0475748970468227,"score_gpt":0.38398133034841025,"score_spread":0.33640643330158754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008436722","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8567241,0.0007825536,0.06646479,0.0017676902,0.0008818762,0.00008629666,0.00031595855,0.00052924553,0.072447516],"genre_scores_gemma":[0.9785749,0.0003396183,0.0061090095,0.00024494776,0.0006017976,0.000036658774,0.00023203775,0.000102393664,0.013758682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995751,0.00007633938,0.000022090027,0.00006421594,0.00013598094,0.00012634075],"domain_scores_gemma":[0.9993888,0.00012458295,0.00016830485,0.000056752717,0.000074955184,0.00018652492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090197637,0.0011746387,0.0007118776,0.0035058148,0.0011860998,0.0028677231,0.0010538589,0.0010712169,0.0067180875],"category_scores_gemma":[0.0013375856,0.0002574123,0.00062160514,0.00150999,0.0034793597,0.00279118,0.0018021514,0.0018577998,0.0009136442],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000074058524,0.000044404595,0.0002522993,0.000019490295,0.0000068676245,0.00012418695,0.00025908073,0.0010150818,0.0020549174,0.98888576,0.0007914205,0.006472474],"study_design_scores_gemma":[0.00005045004,0.00011095902,0.00070365955,0.000015575455,0.000014831987,0.00019085895,0.00017960873,0.011556205,0.0014004469,0.98280084,0.0029353125,0.000041289368],"about_ca_topic_score_codex":0.00089436123,"about_ca_topic_score_gemma":0.00057626725,"teacher_disagreement_score":0.0067180875,"about_ca_system_score_codex":0.0014553851,"about_ca_system_score_gemma":0.0006912882,"threshold_uncertainty_score":0.022474289},"labels":[],"label_agreement":null},{"id":"W2009435168","doi":"10.1016/j.aim.2009.01.001","title":"Counting hyperelliptic curves","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Hyperelliptic curve; Genus; Hyperelliptic curve cryptography; Integer (computer science); Product (mathematics); Twist; Finite field; Combinatorics; Pure mathematics; Discrete mathematics; Geometry; Botany","score_opus":0.010168322270105104,"score_gpt":0.2613373034918693,"score_spread":0.2511689812217642,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009435168","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42038947,0.003578669,0.21221179,0.008575468,0.0017107445,0.0001796563,0.0008975233,0.00092080265,0.35153577],"genre_scores_gemma":[0.8532377,0.0024472454,0.047927175,0.0010577531,0.001631196,0.00018997576,0.0011213489,0.00058697915,0.09180067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997979,0.0003860564,0.00011703416,0.00035284812,0.0008619075,0.0003031128],"domain_scores_gemma":[0.9969086,0.0010361349,0.000417308,0.0005505244,0.00058702077,0.0005004037],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014069893,0.001527439,0.0014891161,0.0069819815,0.0026631674,0.005717598,0.002608095,0.0026135996,0.016549947],"category_scores_gemma":[0.008521006,0.0007819277,0.0008207212,0.0058886367,0.0040884637,0.011298754,0.004590021,0.0045087547,0.002393617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004101206,0.00001203737,0.00025084484,0.000057724636,0.000006396451,0.000043944456,0.0001247047,0.00074295583,0.00066362566,0.9856719,0.002813198,0.009571724],"study_design_scores_gemma":[0.00000783735,0.0000078900475,0.00017774622,0.000024787758,0.000009089171,0.00015695671,0.0000541715,0.003920797,0.000770226,0.990266,0.004591373,0.000013050403],"about_ca_topic_score_codex":0.00087242,"about_ca_topic_score_gemma":0.0005372531,"teacher_disagreement_score":0.016549947,"about_ca_system_score_codex":0.0023488107,"about_ca_system_score_gemma":0.00074032106,"threshold_uncertainty_score":0.055365086},"labels":[],"label_agreement":null},{"id":"W2009754675","doi":"10.1016/j.aim.2013.02.013","title":"Multivariate diagonal coinvariant spaces for complex reflection groups","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Diagonal; Reflection (computer programming); Pure mathematics; Multivariate statistics; Hilbert space; Series (stratigraphy); Algebra over a field; Geometry; Statistics","score_opus":0.06026407877407519,"score_gpt":0.3685571409432787,"score_spread":0.3082930621692035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009754675","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57032186,0.001042068,0.3055036,0.0025046233,0.00063027465,0.00007948926,0.00037336198,0.00067289243,0.11887188],"genre_scores_gemma":[0.9560088,0.0005563322,0.014301267,0.0003611617,0.00067066547,0.0000759503,0.00034470294,0.00020946767,0.027471688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920803,0.0002031233,0.00003876938,0.00015978918,0.00020713014,0.00018319483],"domain_scores_gemma":[0.9988851,0.00023096793,0.0002347289,0.00016815473,0.00016463206,0.00031634854],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011925681,0.0012377612,0.0008293873,0.0024002302,0.0016620449,0.003604805,0.0009636016,0.0009590399,0.011304668],"category_scores_gemma":[0.0018604774,0.00042645738,0.000715825,0.0015351715,0.0040492406,0.0047751274,0.0030940585,0.0028703136,0.0012735886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016425936,0.000010461781,0.00012173186,0.0000063784573,0.000003255794,0.00002184402,0.00011083464,0.00018780766,0.00050075527,0.99664426,0.00033739625,0.0020388078],"study_design_scores_gemma":[0.000013282608,0.000016126462,0.00025393878,0.0000053753206,0.0000059071317,0.000049575177,0.00011656118,0.002658051,0.00036473447,0.9947272,0.001776263,0.000013012575],"about_ca_topic_score_codex":0.0009804481,"about_ca_topic_score_gemma":0.0010151922,"teacher_disagreement_score":0.011304668,"about_ca_system_score_codex":0.0010460608,"about_ca_system_score_gemma":0.0006382691,"threshold_uncertainty_score":0.037817895},"labels":[],"label_agreement":null},{"id":"W2010596034","doi":"10.1016/j.aim.2005.03.010","title":"The local index formula in semifinite von Neumann algebras II: The even case","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":72,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Von Neumann algebra; Von Neumann architecture; Affiliated operator; Pure mathematics; Abelian von Neumann algebra; Subalgebra; Index (typography); Atiyah–Singer index theorem; Algebra over a field; Jordan algebra; Algebra representation","score_opus":0.025047697056592398,"score_gpt":0.3567917098508497,"score_spread":0.3317440127942573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010596034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61694264,0.0032252327,0.13389044,0.0034370066,0.0006728601,0.000046435507,0.00024440783,0.00033833043,0.24120262],"genre_scores_gemma":[0.97992665,0.00056002487,0.0065982994,0.0003754293,0.00034134364,0.000027044525,0.00008215969,0.000079260426,0.012009821],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995096,0.000092052425,0.000025861576,0.00008248064,0.00018447032,0.000105641135],"domain_scores_gemma":[0.9989643,0.00035939514,0.00014864208,0.00013537346,0.000174606,0.0002176792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010569763,0.00056331576,0.0009382121,0.0013466219,0.0015060216,0.004097687,0.0012329697,0.0010518638,0.0039985175],"category_scores_gemma":[0.0026526658,0.00035420395,0.0005869455,0.0008974065,0.0038680697,0.007262705,0.0018825595,0.002428719,0.0006722817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019642712,0.000010639444,0.00011596858,0.000016324962,0.0000030254646,0.00005465454,0.00009875954,0.00020671071,0.00072863034,0.99688137,0.00035450154,0.0015097708],"study_design_scores_gemma":[0.0000058732066,0.000005366324,0.00008388485,0.0000059667773,0.0000030921597,0.000053506683,0.000034657092,0.00206364,0.00030795552,0.9969995,0.0004305764,0.0000059671643],"about_ca_topic_score_codex":0.0009954121,"about_ca_topic_score_gemma":0.00087165134,"teacher_disagreement_score":0.004097687,"about_ca_system_score_codex":0.0014801712,"about_ca_system_score_gemma":0.0008249725,"threshold_uncertainty_score":0.013376355},"labels":[],"label_agreement":null},{"id":"W2010965113","doi":"10.1016/j.aim.2011.12.002","title":"Regularity of the geodesic equation in the space of Sasakian metrics","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Geodesic; Mathematical analysis; Scalar curvature; Curvature; Metric (unit); Space (punctuation); Scalar (mathematics); Pure mathematics; Geometry","score_opus":0.12105062367262401,"score_gpt":0.3195146244452116,"score_spread":0.1984640007725876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010965113","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7483192,0.004394512,0.15161215,0.00799748,0.0006087044,0.000063165986,0.0006070284,0.0002349846,0.086162694],"genre_scores_gemma":[0.9537742,0.0019004158,0.011183305,0.00037168097,0.00083649834,0.000050426093,0.0006184966,0.0001567191,0.03110836],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999345,0.0002329748,0.000041841566,0.00011504692,0.00017755882,0.000087586785],"domain_scores_gemma":[0.99795985,0.00079499773,0.00031063636,0.00014139837,0.00043072898,0.00036235148],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014441003,0.00082418055,0.0013450102,0.0029466487,0.0011941281,0.002321035,0.0013812765,0.0015260755,0.003917521],"category_scores_gemma":[0.0048700464,0.0004861889,0.00085525453,0.0011020714,0.0028842185,0.004559506,0.0022236186,0.0023117727,0.00053975225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021463866,0.000010273559,0.00032268482,0.000024903838,0.000009128208,0.00004920433,0.00014736368,0.0017779778,0.00093878614,0.99447083,0.00069167867,0.0015357421],"study_design_scores_gemma":[0.000012532443,0.000019114706,0.0006955159,0.000011160808,0.0000069027874,0.00006969973,0.00007811435,0.022268575,0.0002085534,0.97484326,0.0017702433,0.000016344],"about_ca_topic_score_codex":0.003956837,"about_ca_topic_score_gemma":0.0023297798,"teacher_disagreement_score":0.003956837,"about_ca_system_score_codex":0.0017041771,"about_ca_system_score_gemma":0.0009621489,"threshold_uncertainty_score":0.013105392},"labels":[],"label_agreement":null},{"id":"W2011885532","doi":"10.1016/j.aim.2010.07.007","title":"Tame algebras and Tits quadratic forms","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke; Bishop's University","funders":"","keywords":"Mathematics; Connection (principal bundle); Quadratic equation; Pure mathematics; Quadratic algebra; Algebra over a field; Jordan algebra; Algebra representation; Geometry","score_opus":0.01216973192484319,"score_gpt":0.2999478294250543,"score_spread":0.28777809750021116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011885532","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38497525,0.011362618,0.10267635,0.01601089,0.0013862159,0.000067551904,0.00054505985,0.00032582335,0.48265025],"genre_scores_gemma":[0.91641736,0.0031329975,0.010452766,0.001143456,0.0017362006,0.00006585231,0.00032938784,0.000071302675,0.066650555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994742,0.00013675007,0.000023245151,0.000092276285,0.00019473396,0.000078817444],"domain_scores_gemma":[0.99930763,0.00026429273,0.00011771261,0.00008590694,0.000108339285,0.0001162046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007733657,0.00066755933,0.0007472987,0.0016731485,0.0020850333,0.0030243422,0.0007898423,0.0011165029,0.0111419335],"category_scores_gemma":[0.0019329644,0.00038660443,0.0005315302,0.0015554307,0.004611386,0.0053565823,0.0017896804,0.0033423128,0.0013069098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005186598,0.0000062420595,0.000045960423,0.0000096039785,0.0000015044052,0.0000147816,0.00010271811,0.00012826007,0.00009090553,0.99783105,0.00054651493,0.0012173104],"study_design_scores_gemma":[0.000005200888,0.0000036266697,0.00007820391,0.0000026603063,0.000001475724,0.00003261557,0.000036781807,0.00039290224,0.00004547733,0.99717474,0.002222993,0.0000032456533],"about_ca_topic_score_codex":0.0008460029,"about_ca_topic_score_gemma":0.0009274579,"teacher_disagreement_score":0.0111419335,"about_ca_system_score_codex":0.0014295875,"about_ca_system_score_gemma":0.0006041126,"threshold_uncertainty_score":0.037273467},"labels":[],"label_agreement":null},{"id":"W2012950215","doi":"10.1006/aima.2000.1947","title":"Distribution Algebras and Duality","year":2000,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Logic, Reasoning, and Knowledge","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan; McGill University","funders":"","keywords":"Mathematics; Duality (order theory); Distribution (mathematics); Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.010238859034066202,"score_gpt":0.2655569451731602,"score_spread":0.255318086139094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012950215","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.038639948,0.031422835,0.4609983,0.02769632,0.00179974,0.000058287693,0.00054726127,0.00046794448,0.43836933],"genre_scores_gemma":[0.85223603,0.013453112,0.0540994,0.0034386122,0.003667655,0.00017682077,0.00057092216,0.0002456459,0.07211177],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868935,0.00054767955,0.00006582676,0.0003008891,0.00029229885,0.00010391986],"domain_scores_gemma":[0.9982584,0.0009839343,0.00009599579,0.00028209403,0.0002534766,0.00012602184],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020994083,0.00051687815,0.0010096994,0.0017046323,0.002443589,0.0051431456,0.0009378247,0.0015593509,0.010059299],"category_scores_gemma":[0.0043142084,0.000460289,0.0008347864,0.0021489481,0.0076320292,0.014132249,0.0025935275,0.00521069,0.0016681396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000018351258,0.0000019059992,0.000016310409,0.0000035778544,9.266959e-7,0.000003066857,0.00003404631,0.000049251714,0.000014473558,0.9983491,0.00047793615,0.0010475507],"study_design_scores_gemma":[0.0000013667114,9.434407e-7,0.000011509693,0.0000022759166,7.1687873e-7,0.000009513322,0.000014972952,0.00015972504,0.000015260508,0.9965862,0.003196651,9.184903e-7],"about_ca_topic_score_codex":0.0013811542,"about_ca_topic_score_gemma":0.0007935401,"teacher_disagreement_score":0.010059299,"about_ca_system_score_codex":0.0023210845,"about_ca_system_score_gemma":0.0011748787,"threshold_uncertainty_score":0.03365171},"labels":[],"label_agreement":null},{"id":"W2013238490","doi":"10.1016/j.aim.2014.04.011","title":"Corrigendum to “The sharp Sobolev and isoperimetric inequalities split twice” [Adv. Math. 211 (2) (2007) 417–435]","year":2014,"lang":"en","type":"erratum","venue":"Advances in Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Isoperimetric inequality; Mathematics; Sobolev space; Inequality; Pure mathematics; Mathematical analysis","score_opus":0.06559136055043194,"score_gpt":0.3506354202494857,"score_spread":0.2850440596990538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013238490","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00012986273,0.0061885905,0.0013342431,0.053544052,0.92341346,0.00004557472,0.0009152601,0.00027282056,0.014156208],"genre_scores_gemma":[0.010076635,0.026059829,0.0055512674,0.09569094,0.3360974,0.0003143737,0.0032524555,0.0013600398,0.5215971],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9964324,0.0006226835,0.00046920878,0.0006617119,0.0015133186,0.00030066154],"domain_scores_gemma":[0.98756486,0.0026958943,0.00050362415,0.0007327545,0.007946142,0.000556815],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027674984,0.0029837906,0.0026490188,0.004834941,0.003506808,0.0033759065,0.0040151873,0.0048752557,0.095346645],"category_scores_gemma":[0.026200658,0.0011996358,0.0028090952,0.002963143,0.0025502415,0.0045404057,0.0025521708,0.007178302,0.05575491],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021363985,0.000007814021,0.000032496228,0.00014619865,0.000013098208,0.00007668452,0.000015666086,0.00004901718,0.000046688783,0.002300066,0.9929178,0.004373154],"study_design_scores_gemma":[0.000027990536,0.000026338368,0.0007674612,0.00024262481,0.000042835178,0.00020549457,0.00004393269,0.00030015074,0.0003208915,0.0083933985,0.9895818,0.000047028778],"about_ca_topic_score_codex":0.01690877,"about_ca_topic_score_gemma":0.022332389,"teacher_disagreement_score":0.095346645,"about_ca_system_score_codex":0.0057762447,"about_ca_system_score_gemma":0.0032373986,"threshold_uncertainty_score":0.31896633},"labels":[],"label_agreement":null},{"id":"W2014721377","doi":"10.1016/j.aim.2008.09.001","title":"Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Orthogonal polynomials; Hyperelliptic curve; Spinor; Pure mathematics; Algebraic curve; Polynomial; Mathematical analysis; Algebra over a field; Mathematical physics","score_opus":0.04811324051641669,"score_gpt":0.3102745975624053,"score_spread":0.2621613570459886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014721377","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79154533,0.0017686547,0.13995114,0.0018638285,0.0005560112,0.000040165847,0.000116254225,0.00034869084,0.06380995],"genre_scores_gemma":[0.9660054,0.001037995,0.01488825,0.00030751593,0.0005963615,0.00004293586,0.00013204532,0.00019421533,0.016795302],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892527,0.00034435728,0.000058577007,0.00016264564,0.0003414677,0.00016756933],"domain_scores_gemma":[0.9977628,0.00073452975,0.00041865237,0.00024525082,0.0003712551,0.00046749102],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023862498,0.0009975577,0.0010698799,0.0032981937,0.0018355541,0.0037360059,0.0016281675,0.0017113376,0.0048983213],"category_scores_gemma":[0.007931771,0.0006872929,0.000703392,0.001950367,0.0054095755,0.006844147,0.0022680245,0.0028001321,0.00046005694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022341093,0.000016312113,0.000105832245,0.000012348152,0.0000043974896,0.0000449267,0.00012587802,0.0007614506,0.0007696553,0.99618006,0.0001722371,0.0017846101],"study_design_scores_gemma":[0.000015398353,0.000016138796,0.00026341822,0.000008804127,0.0000038863877,0.0000991815,0.00007385678,0.010207985,0.00027521688,0.9884753,0.00054729707,0.000013412072],"about_ca_topic_score_codex":0.0018510531,"about_ca_topic_score_gemma":0.0012622597,"teacher_disagreement_score":0.0048983213,"about_ca_system_score_codex":0.0019750202,"about_ca_system_score_gemma":0.0009948693,"threshold_uncertainty_score":0.01638645},"labels":[],"label_agreement":null},{"id":"W2015490407","doi":"10.1016/j.aim.2009.02.010","title":"Pseudo-Riemannian geodesics and billiards","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":87,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Geodesic; Mathematics; Geodesic map; Euclidean space; Symplectic geometry; Pure mathematics; Manifold (fluid mechanics); Riemannian geometry; Dynamical billiards; Euclidean geometry; Solving the geodesic equations; Space (punctuation); Riemannian manifold; Exponential map (Riemannian geometry); Mathematical analysis; Geometry; Sectional curvature; Scalar curvature; Computer science","score_opus":0.011378255719001569,"score_gpt":0.3192691883422871,"score_spread":0.30789093262328554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015490407","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45587695,0.035497416,0.18185648,0.021234937,0.004072763,0.00011977377,0.0007368602,0.0005116394,0.3000932],"genre_scores_gemma":[0.8575107,0.009657982,0.02803691,0.0013685238,0.0027012634,0.000091517206,0.0005331833,0.00020670211,0.099893294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963295,0.000108821136,0.000025543113,0.000068410125,0.000121774916,0.000042551415],"domain_scores_gemma":[0.99937135,0.00018015686,0.00011277154,0.00009074255,0.00012588914,0.00011898651],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007421839,0.0010737968,0.000884834,0.0027732605,0.0017500676,0.0031241283,0.0012195157,0.002521183,0.006092374],"category_scores_gemma":[0.0022267913,0.00055372785,0.0007577448,0.001812085,0.004119866,0.005017004,0.0016084503,0.0026951726,0.0008558917],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033010683,0.000002763193,0.000027635948,0.000008266483,0.0000014485851,0.000019537201,0.00006277769,0.00019666328,0.00013354883,0.9981565,0.00047299717,0.00091465475],"study_design_scores_gemma":[0.000003530909,0.0000044152866,0.00010872237,0.0000038138237,0.0000016015498,0.00005851874,0.00003420178,0.0010964279,0.000054638032,0.99469733,0.0039317575,0.0000050355966],"about_ca_topic_score_codex":0.0016561474,"about_ca_topic_score_gemma":0.00141674,"teacher_disagreement_score":0.006092374,"about_ca_system_score_codex":0.0014882449,"about_ca_system_score_gemma":0.0005401377,"threshold_uncertainty_score":0.020381033},"labels":[],"label_agreement":null},{"id":"W2015538956","doi":"10.1016/j.aim.2006.11.003","title":"On the motivic class of the stack of bundles","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":68,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University; University of British Columbia","funders":"","keywords":"Mathematics; Function field; Stack (abstract data type); Pure mathematics; Field (mathematics); Class (philosophy); Measure (data warehouse); Function (biology); Group (periodic table); Physics","score_opus":0.016682067898941548,"score_gpt":0.27760569937381946,"score_spread":0.2609236314748779,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015538956","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7406752,0.0046791285,0.06145804,0.007202226,0.001178488,0.000074860654,0.0008144603,0.00033631042,0.18358123],"genre_scores_gemma":[0.9708148,0.0018864351,0.005702479,0.0003998129,0.0015954614,0.000076042794,0.00046924312,0.0001337114,0.018921945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989492,0.000280944,0.000051939285,0.00023005722,0.00023272778,0.0002551375],"domain_scores_gemma":[0.9981828,0.00062801165,0.00028886096,0.000103044404,0.0002715371,0.0005257492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019178522,0.0015421852,0.0015752015,0.007836168,0.0036304768,0.0051993993,0.0017550756,0.0020388172,0.009986436],"category_scores_gemma":[0.0034172286,0.0007593214,0.00090873515,0.00287245,0.0067204265,0.012423036,0.0036105935,0.0035562823,0.0009413541],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028823817,0.000013794729,0.00032419438,0.000026514648,0.000010124762,0.000046652276,0.00017861335,0.00029852602,0.00033443535,0.99619174,0.0006507226,0.0018957799],"study_design_scores_gemma":[0.000024606412,0.000032914366,0.0011326135,0.000040303265,0.000018825198,0.00016946218,0.00015201852,0.0027666565,0.00031474137,0.99216837,0.0031507565,0.000028685676],"about_ca_topic_score_codex":0.001415415,"about_ca_topic_score_gemma":0.0008884096,"teacher_disagreement_score":0.009986436,"about_ca_system_score_codex":0.0028638616,"about_ca_system_score_gemma":0.0009681415,"threshold_uncertainty_score":0.033407927},"labels":[],"label_agreement":null},{"id":"W2015838589","doi":"10.1016/j.aim.2008.10.010","title":"Corrigendum to “Coincidences among skew Schur functions” [Adv. Math. 216 (1) (2007) 118–152]","year":2009,"lang":"en","type":"erratum","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Skew; Mathematics; Diagram; Function (biology); Pure mathematics; Statistics; Computer science","score_opus":0.029613756633754835,"score_gpt":0.3228030405781666,"score_spread":0.2931892839444118,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015838589","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00036009768,0.008065565,0.0025575524,0.081694454,0.86566705,0.000077384895,0.001481531,0.00069075753,0.03940554],"genre_scores_gemma":[0.022567192,0.025954429,0.008427995,0.11673225,0.30367237,0.0004876594,0.004224003,0.0019271325,0.51600695],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99612856,0.00071399944,0.00038435627,0.00069872924,0.0017279999,0.00034629428],"domain_scores_gemma":[0.99035114,0.0025506094,0.0004258027,0.0007908038,0.0054578003,0.0004238339],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024779413,0.0032868253,0.0032179735,0.00561126,0.0040311106,0.0040857503,0.0047752787,0.005056526,0.094946235],"category_scores_gemma":[0.021747952,0.0013397845,0.0029246733,0.0035717816,0.0031325207,0.0052407007,0.002476232,0.0065069413,0.047979314],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003072104,0.000010559854,0.000042492098,0.00018556263,0.000019811288,0.000103591,0.000022190763,0.00007928612,0.000058595433,0.005383682,0.98921084,0.0048528076],"study_design_scores_gemma":[0.00005701956,0.000048113056,0.0014835979,0.00032393308,0.000071639515,0.00041872307,0.000074010444,0.0008176867,0.00045984576,0.026807806,0.96935487,0.000082763516],"about_ca_topic_score_codex":0.016176555,"about_ca_topic_score_gemma":0.019415883,"teacher_disagreement_score":0.094946235,"about_ca_system_score_codex":0.0067170886,"about_ca_system_score_gemma":0.002750447,"threshold_uncertainty_score":0.31762677},"labels":[],"label_agreement":null},{"id":"W2016591016","doi":"10.1006/aima.1998.1889","title":"Extremal Point Sets and Gorenstein Ideals","year":2000,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Hilbert series and Hilbert polynomial; Ideal (ethics); Pure mathematics; Hilbert's fourteenth problem; Hilbert's basis theorem; Quotient; Field (mathematics); Hilbert–Poincaré series; Hilbert R-tree; Algebra over a field; Function (biology); Discrete mathematics; Hilbert space; Rigged Hilbert space; Reproducing kernel Hilbert space","score_opus":0.0262234195702606,"score_gpt":0.34276263664478596,"score_spread":0.31653921707452537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016591016","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5748325,0.014027186,0.16893831,0.0075992043,0.00083108677,0.000054302513,0.00042848644,0.0004323888,0.23285659],"genre_scores_gemma":[0.9671029,0.0027082395,0.012290109,0.00028690646,0.0009494243,0.00004649237,0.00020522671,0.000059725622,0.016351063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991534,0.0001928539,0.000039614453,0.00016765315,0.00031512047,0.00013124954],"domain_scores_gemma":[0.99848783,0.00075421575,0.00020988492,0.00016557155,0.00017150938,0.00021093238],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014612601,0.0007919219,0.0018732107,0.0037797724,0.0027653528,0.004011265,0.0014242742,0.0015897864,0.0060379133],"category_scores_gemma":[0.0031832114,0.0007840134,0.00075588265,0.0028242734,0.0060763615,0.008195073,0.0035036153,0.004545374,0.00054769794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011128184,0.000005548907,0.000058891226,0.0000136822355,0.0000051189813,0.000023900117,0.000080052654,0.0001786292,0.00013223813,0.99821556,0.00026625855,0.001008912],"study_design_scores_gemma":[0.0000049422497,0.0000038188414,0.00012172911,0.0000045713396,0.000004697744,0.0000562849,0.000044026863,0.00050599856,0.000118435964,0.9982845,0.0008463337,0.0000045801235],"about_ca_topic_score_codex":0.00040221808,"about_ca_topic_score_gemma":0.00037732537,"teacher_disagreement_score":0.0060379133,"about_ca_system_score_codex":0.0013439672,"about_ca_system_score_gemma":0.00038980893,"threshold_uncertainty_score":0.020198882},"labels":[],"label_agreement":null},{"id":"W2016739913","doi":"10.1016/j.aim.2010.03.007","title":"Phase transition on the Toeplitz algebra of the affine semigroup over the natural numbers","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":78,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Toeplitz matrix; Quotient; Endomorphism; Semigroup; Algebra over a field; Pure mathematics; Combinatorics; Discrete mathematics","score_opus":0.01776898974340614,"score_gpt":0.3513147124943361,"score_spread":0.33354572275093,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016739913","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83214086,0.00095938466,0.08588194,0.0019535231,0.0003788902,0.00007260719,0.0003185205,0.0003058985,0.07798839],"genre_scores_gemma":[0.98151684,0.00031401342,0.0068921605,0.00020049613,0.00030995873,0.00004802298,0.00017191198,0.00006714882,0.01047935],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996425,0.00010124892,0.000015598296,0.000056558107,0.00009735992,0.00008667955],"domain_scores_gemma":[0.9989536,0.00045433585,0.00013550969,0.00010737032,0.00015178841,0.00019728],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063437904,0.00033344625,0.0005093992,0.0009921087,0.0012222164,0.0023393554,0.0005936923,0.0007067005,0.007945759],"category_scores_gemma":[0.0022499145,0.00024488312,0.0004804284,0.0004916415,0.0018704507,0.0030017276,0.0007218654,0.0011800841,0.0006642482],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005320973,0.000027187762,0.00012517991,0.000017438922,0.0000033567646,0.00006464502,0.00012727399,0.0007706696,0.0017795073,0.995193,0.00048088783,0.0013576564],"study_design_scores_gemma":[0.000025512883,0.00003817015,0.0002861241,0.000008692167,0.0000027431286,0.00010155339,0.00006367461,0.013077212,0.0009870242,0.9847119,0.00068358105,0.000013889567],"about_ca_topic_score_codex":0.00062929303,"about_ca_topic_score_gemma":0.0005047837,"teacher_disagreement_score":0.007945759,"about_ca_system_score_codex":0.00077188323,"about_ca_system_score_gemma":0.0008014273,"threshold_uncertainty_score":0.026581168},"labels":[],"label_agreement":null},{"id":"W2022432807","doi":"10.1016/j.aim.2006.05.003","title":"Second order freeness and fluctuations of random matrices: II. Unitary random matrices","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":115,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Circular ensemble; Random matrix; Unitary state; Unitary matrix; Free probability; Invariant (physics); Independence (probability theory); Haar measure; Pure mathematics; Generalization; Central limit theorem; Order (exchange); Discrete mathematics; Combinatorics; Mathematical physics; Mathematical analysis; Eigenvalues and eigenvectors; Quantum mechanics; Statistics","score_opus":0.011702430077249141,"score_gpt":0.28831413457766997,"score_spread":0.27661170450042083,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022432807","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20889017,0.014181815,0.719067,0.0039302497,0.0007967338,0.00008752649,0.00036976585,0.00034969486,0.05232706],"genre_scores_gemma":[0.9575817,0.004056709,0.0178976,0.0005432464,0.0009522614,0.00010208744,0.00023813084,0.0001553705,0.01847287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988617,0.00033104967,0.00004634208,0.00021205877,0.0003558517,0.00019298376],"domain_scores_gemma":[0.9961647,0.002203846,0.00037493507,0.0005000639,0.0004581144,0.00029832128],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017143984,0.0006690743,0.0007151803,0.0013038439,0.00054706616,0.002170176,0.0009095858,0.0011862066,0.002926124],"category_scores_gemma":[0.008212738,0.00041615934,0.0006835281,0.0010130145,0.0030651137,0.003008628,0.0012221874,0.0017536726,0.0004844271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016830412,0.000015452322,0.0002915934,0.000058259644,0.000012233729,0.000076687706,0.00009790554,0.008306958,0.0014534227,0.9837437,0.0013271909,0.0045997514],"study_design_scores_gemma":[0.0000065972763,0.000024759767,0.00073457486,0.000025067733,0.000008922964,0.00018635164,0.000043632434,0.060257304,0.0010428169,0.9348287,0.0028137402,0.000027496964],"about_ca_topic_score_codex":0.0010169753,"about_ca_topic_score_gemma":0.0005605892,"teacher_disagreement_score":0.002926124,"about_ca_system_score_codex":0.0006562596,"about_ca_system_score_gemma":0.0005691837,"threshold_uncertainty_score":0.009788811},"labels":[],"label_agreement":null},{"id":"W2022608773","doi":"10.1016/j.aim.2010.02.012","title":"Polynomial functors and opetopes","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Monad (category theory); Mathematics; Functor; Polynomial; Computation; Algebra over a field; Section (typography); Pure mathematics; Mathematical analysis; Algorithm; Computer science","score_opus":0.01373316256827763,"score_gpt":0.31039802073484996,"score_spread":0.29666485816657234,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022608773","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17446223,0.03838389,0.26421067,0.021649964,0.0029771286,0.000056666246,0.0008807996,0.00066309125,0.49671564],"genre_scores_gemma":[0.8952882,0.011646097,0.026654972,0.0017937756,0.002834734,0.00009288478,0.00042330724,0.00016408913,0.06110182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903417,0.00024422,0.00005275576,0.00023462986,0.00028630733,0.00014789413],"domain_scores_gemma":[0.99846953,0.00075038837,0.00013883131,0.00024012275,0.00025889755,0.00014225092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015612154,0.0009019446,0.00093910284,0.003544844,0.0024904876,0.0041823294,0.0010006136,0.0019464494,0.009085789],"category_scores_gemma":[0.0031238608,0.00063246436,0.00082837313,0.0026751894,0.008511726,0.012590663,0.0040098075,0.004967465,0.0012978214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000040832383,0.0000036623453,0.000031016498,0.0000082967135,0.0000013037912,0.000013998589,0.00008389971,0.00006598679,0.000059069618,0.9976955,0.00040855247,0.001624524],"study_design_scores_gemma":[0.0000049095297,0.0000032139865,0.00006926798,0.0000051843786,0.0000025559068,0.000038197497,0.000041251427,0.0002938099,0.00007417429,0.9924947,0.006968163,0.000004625771],"about_ca_topic_score_codex":0.0012816736,"about_ca_topic_score_gemma":0.0010087519,"teacher_disagreement_score":0.009085789,"about_ca_system_score_codex":0.0017277877,"about_ca_system_score_gemma":0.00066085043,"threshold_uncertainty_score":0.030395031},"labels":[],"label_agreement":null},{"id":"W2023073805","doi":"10.1016/j.aim.2013.12.014","title":"Near-group fusion categories and their doubles","year":2014,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council","keywords":"Conformal map; Pure mathematics; Affine transformation; Invertible matrix; Group (periodic table); Construct (python library); Fusion rules; Conformal field theory; Fusion; Mathematics; Field (mathematics); Algebra over a field; Computer science; Physics; Geometry; Philosophy; Linguistics; Image fusion","score_opus":0.0214428428044757,"score_gpt":0.3083295555389499,"score_spread":0.2868867127344742,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023073805","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40364867,0.009343531,0.20320152,0.008136544,0.001363861,0.0000955125,0.000856338,0.00067165017,0.37268227],"genre_scores_gemma":[0.94631124,0.0016857556,0.013413236,0.00051545806,0.0007159686,0.000088106004,0.00028914318,0.00011745927,0.036863662],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915123,0.00019822548,0.000048876085,0.00018501209,0.00028702465,0.00012962878],"domain_scores_gemma":[0.9989838,0.00028536882,0.00014982796,0.00012462764,0.00019462821,0.000261825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001119277,0.0008414656,0.00084427063,0.0053378963,0.0030108714,0.004309715,0.0010715557,0.001725194,0.009441457],"category_scores_gemma":[0.0024333422,0.00053140125,0.00066171226,0.0022729998,0.0051849345,0.008979295,0.004373659,0.0028009098,0.0011089029],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000065967633,0.000004197303,0.00006144297,0.000009252927,0.0000023328357,0.000027385939,0.00013108508,0.00004897441,0.00011444767,0.997865,0.00035523582,0.0013741326],"study_design_scores_gemma":[0.0000051441484,0.0000044262856,0.00010923567,0.000007809018,0.0000032730643,0.00008927637,0.00011034805,0.00039041202,0.00012358266,0.99569845,0.0034522286,0.0000058523333],"about_ca_topic_score_codex":0.0007528121,"about_ca_topic_score_gemma":0.00058418675,"teacher_disagreement_score":0.009441457,"about_ca_system_score_codex":0.0015725326,"about_ca_system_score_gemma":0.0004851868,"threshold_uncertainty_score":0.03158486},"labels":[],"label_agreement":null},{"id":"W2023517567","doi":"10.1016/j.aim.2012.07.020","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> cohomology is intersection cohomology","year":2012,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Invertible matrix; Cohomology; Intersection (aeronautics); Pure mathematics; Cartography","score_opus":0.022026586044351447,"score_gpt":0.26996556322255355,"score_spread":0.2479389771782021,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023517567","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0029027348,0.0009097127,0.07955231,0.007077394,0.0021454352,0.00018164077,0.072172776,0.06208409,0.7729739],"genre_scores_gemma":[0.032533642,0.002369615,0.06108991,0.0017953753,0.0013273943,0.00033611766,0.101050265,0.07047991,0.7290178],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958557,0.000076078686,0.00003378277,0.00007355524,0.0001886886,0.00004236343],"domain_scores_gemma":[0.9987344,0.0002607759,0.000100311176,0.00032625662,0.00038202386,0.00019607728],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00059948274,0.0009891334,0.0007750117,0.002629022,0.0009995527,0.0059632533,0.0017159749,0.0011237593,0.49714476],"category_scores_gemma":[0.0024520515,0.0007047971,0.00063280866,0.003735282,0.00073071435,0.00597961,0.002018009,0.0024222776,0.41642594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047298763,0.000018164861,0.00013258726,0.00016973361,0.0000065785384,0.000040984683,0.00013652847,0.00013894032,0.0019810365,0.047625247,0.9063674,0.043335468],"study_design_scores_gemma":[0.0000157054,0.000009448432,0.00067074917,0.000044971606,0.000004732132,0.00008681055,0.00007163765,0.00073103304,0.003943483,0.016139284,0.97825617,0.000025953408],"about_ca_topic_score_codex":0.004894859,"about_ca_topic_score_gemma":0.0052022114,"teacher_disagreement_score":0.49714476,"about_ca_system_score_codex":0.0017048257,"about_ca_system_score_gemma":0.00096844503,"threshold_uncertainty_score":0.71726197},"labels":[],"label_agreement":null},{"id":"W2023712662","doi":"10.1016/j.aim.2007.04.018","title":"Relaxation of solitons in nonlinear Schrödinger equations with potential","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":66,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Soliton; Dissipative system; Nonlinear system; Dissipative soliton; Mathematics; Relaxation (psychology); Nonlinear Schrödinger equation; Momentum (technical analysis); Classical mechanics; Integrable system; Maxima and minima; Equations of motion; sine-Gordon equation; Schrödinger equation; Physics; Mathematical physics; Mathematical analysis; Quantum mechanics","score_opus":0.023580666803678107,"score_gpt":0.33889990288622546,"score_spread":0.31531923608254736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023712662","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.755088,0.0027819315,0.14902483,0.009491168,0.0013135882,0.00024544512,0.00031441986,0.0006090081,0.08113172],"genre_scores_gemma":[0.95418566,0.0006768289,0.014295581,0.00087729195,0.00055912964,0.00014868057,0.00027721113,0.0002857929,0.028693829],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948573,0.00021975297,0.000027196273,0.000050288072,0.00010119492,0.000115820236],"domain_scores_gemma":[0.9982223,0.0007001979,0.0002482624,0.00015548685,0.00020252504,0.00047129858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015602137,0.0009419651,0.0012596162,0.0014131872,0.0021671227,0.0028818252,0.0020518329,0.0026795592,0.007152413],"category_scores_gemma":[0.0070592514,0.0010129879,0.0010332046,0.0007361247,0.0034606713,0.004161165,0.0028963855,0.0032301224,0.0006066693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003622524,0.00018307075,0.000651403,0.00015982204,0.000046500398,0.00036533267,0.00087254174,0.023880025,0.007385418,0.956966,0.0036211025,0.0055065034],"study_design_scores_gemma":[0.00016167827,0.000099507866,0.00080774404,0.000036014146,0.000015891239,0.00021628401,0.00036601594,0.27480116,0.00086278375,0.7211886,0.0013783308,0.000066012115],"about_ca_topic_score_codex":0.0021634889,"about_ca_topic_score_gemma":0.0014650857,"teacher_disagreement_score":0.007152413,"about_ca_system_score_codex":0.001535796,"about_ca_system_score_gemma":0.0010213314,"threshold_uncertainty_score":0.023927212},"labels":[],"label_agreement":null},{"id":"W2023854993","doi":"10.1016/j.aim.2011.06.042","title":"A proof of the strong no loop conjecture","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Sherbrooke","keywords":"Mathematics; Conjecture; Algebraically closed field; Zero (linguistics); Dimension (graph theory); Pure mathematics; Loop (graph theory); Extension (predicate logic); Algebra over a field; Combinatorics","score_opus":0.03199852823663812,"score_gpt":0.28865766313538593,"score_spread":0.2566591348987478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023854993","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15264271,0.003533338,0.26979968,0.041670334,0.0043695546,0.00009823363,0.001187734,0.0016707887,0.52502763],"genre_scores_gemma":[0.9153895,0.0014880655,0.035795826,0.0048060794,0.002276373,0.00012049398,0.00081147585,0.00029266518,0.039019514],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891496,0.00024838874,0.000037469377,0.0002809649,0.00034305733,0.00017513252],"domain_scores_gemma":[0.99443334,0.0034713894,0.00031977377,0.0006944974,0.0006354938,0.00044555758],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013036228,0.0010640464,0.0009334116,0.0012043942,0.0019523212,0.0028107532,0.0017891608,0.0018716475,0.01735978],"category_scores_gemma":[0.007310332,0.0006329625,0.0011553658,0.0013139797,0.005325159,0.007850339,0.005207233,0.0052057537,0.0028032812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059653117,0.000040784464,0.00024540978,0.00009392757,0.000013373291,0.00010930394,0.00016529842,0.00080051605,0.0005794386,0.98228776,0.009456357,0.0061483206],"study_design_scores_gemma":[0.000020134723,0.000012293482,0.00011272223,0.00001560615,0.000007492235,0.000056731726,0.000031137162,0.0016529324,0.00024470798,0.99157,0.0062690964,0.000007143572],"about_ca_topic_score_codex":0.0008602815,"about_ca_topic_score_gemma":0.0007907286,"teacher_disagreement_score":0.01735978,"about_ca_system_score_codex":0.0013180785,"about_ca_system_score_gemma":0.0007670939,"threshold_uncertainty_score":0.058074296},"labels":[],"label_agreement":null},{"id":"W2023886978","doi":"10.1016/j.aim.2012.06.014","title":"Determinantal representations of singular hypersurfaces in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">P</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>","year":2012,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Israel Science Foundation","keywords":"Hypersurface; Mathematics; Conjecture; Pure mathematics; Determinantal point process; Kernel (algebra); Matrix (chemical analysis); Algebra over a field; Combinatorics; Random matrix; Eigenvalues and eigenvectors","score_opus":0.02014343212423176,"score_gpt":0.2738019022678912,"score_spread":0.25365847014365944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023886978","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31188342,0.0012260241,0.21603744,0.0036159332,0.0011815288,0.000101180754,0.0019410835,0.0024489972,0.4615645],"genre_scores_gemma":[0.8916038,0.0005880298,0.017581977,0.00040117174,0.00046538198,0.00004058481,0.0015278101,0.0010029642,0.08678824],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999642,0.00005887384,0.000018049708,0.00005953284,0.00015966372,0.00006193365],"domain_scores_gemma":[0.9995807,0.00008019363,0.00005071389,0.00005536478,0.00011617285,0.00011683839],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035905893,0.00056534115,0.00042781248,0.0019231562,0.0009153416,0.003348881,0.0005457498,0.00057266036,0.026853066],"category_scores_gemma":[0.0013770406,0.00026006467,0.0005027089,0.0011457272,0.0012224796,0.001885821,0.0012617649,0.0016109647,0.005302051],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023759321,0.000024489034,0.00019755554,0.00002589428,0.000006038469,0.0001298826,0.00032714417,0.0007655043,0.0016121046,0.97918427,0.008254299,0.009448989],"study_design_scores_gemma":[0.000025619855,0.000031729298,0.001110842,0.000021962109,0.000009777698,0.00034615712,0.00039265235,0.014001187,0.0020730027,0.95402896,0.027919335,0.000038615857],"about_ca_topic_score_codex":0.0018721535,"about_ca_topic_score_gemma":0.0019646569,"teacher_disagreement_score":0.026853066,"about_ca_system_score_codex":0.0009817184,"about_ca_system_score_gemma":0.0005552168,"threshold_uncertainty_score":0.089832425},"labels":[],"label_agreement":null},{"id":"W2024496690","doi":"10.1016/j.aim.2007.07.009","title":"Hecke algebras of semidirect products and the finite part of the Connes–Marcolli <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mi mathvariant=\"normal\">C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebra","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Homogeneous space; Tensor product; Affine transformation; Ring (chemistry); Pure mathematics; Group (periodic table); Integer (computer science); Algebra over a field; Discrete mathematics; Geometry","score_opus":0.020553930372001518,"score_gpt":0.27756464553683136,"score_spread":0.2570107151648298,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024496690","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14719516,0.011568689,0.12855189,0.0047733225,0.0011358024,0.0000773809,0.00073211675,0.00032234573,0.70564324],"genre_scores_gemma":[0.8427948,0.002922838,0.027945453,0.0007187432,0.000984563,0.00009058386,0.0004882959,0.00015498468,0.1238997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914503,0.00019346221,0.000049959122,0.0001773517,0.0003072653,0.0001269107],"domain_scores_gemma":[0.998933,0.00029049112,0.000148565,0.00017147788,0.0002800623,0.000176298],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012084432,0.0006222563,0.0006392158,0.0021659662,0.0024362796,0.00337876,0.0006886399,0.0008058709,0.011770574],"category_scores_gemma":[0.0028913952,0.00045440142,0.00062126847,0.001698555,0.004478909,0.0056611914,0.00166356,0.0018804658,0.0019402122],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000045984375,0.000002751226,0.000044085617,0.000010397853,0.000001933552,0.000017641703,0.00010800611,0.000080832455,0.000111688234,0.997224,0.0008748383,0.001519333],"study_design_scores_gemma":[0.0000048032693,0.000005364201,0.00023635228,0.000013510626,0.000003191153,0.000121141566,0.00006991866,0.0007593892,0.00037428812,0.98240143,0.015997414,0.000013257396],"about_ca_topic_score_codex":0.003157551,"about_ca_topic_score_gemma":0.0027557306,"teacher_disagreement_score":0.011770574,"about_ca_system_score_codex":0.0021902858,"about_ca_system_score_gemma":0.0013053673,"threshold_uncertainty_score":0.039376497},"labels":[],"label_agreement":null},{"id":"W2024836592","doi":"10.1016/s0001-8708(03)00068-9","title":"Ideals of quasi-symmetric functions and super-covariant polynomials for Sn","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Quotient; Pure mathematics; Covariant transformation; Dimension (graph theory); Catalan number; Ring of symmetric functions; Orthogonal polynomials; Scalar (mathematics); Ring (chemistry); Symmetric function; Complement (music); Combinatorics; Classical orthogonal polynomials; Mathematical physics","score_opus":0.036766538734577726,"score_gpt":0.337056347677435,"score_spread":0.30028980894285723,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024836592","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5258961,0.0013765218,0.16706634,0.0026694748,0.0011527749,0.00014926305,0.0006128405,0.00059531746,0.30048147],"genre_scores_gemma":[0.9297356,0.0006515571,0.020190768,0.00040091533,0.0007807843,0.00007392842,0.00054738275,0.00016168163,0.04745745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868625,0.00028706432,0.0000801919,0.0002045264,0.0004270097,0.000314926],"domain_scores_gemma":[0.99780303,0.00048365237,0.00032480856,0.00016943958,0.00043435761,0.00078463845],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023352837,0.0012779052,0.0010997002,0.0044676736,0.0037875636,0.004016732,0.0013849416,0.00072440313,0.008238419],"category_scores_gemma":[0.0017801445,0.0007703872,0.0013249385,0.0020580452,0.005590341,0.006857069,0.00352612,0.0036019818,0.0012757331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035349178,0.000016579412,0.00010383856,0.000012293846,0.000003572667,0.00003590331,0.00016232606,0.000106404885,0.0003613592,0.9976816,0.00035071315,0.0011300733],"study_design_scores_gemma":[0.000021816397,0.00002427807,0.00032702368,0.000009178552,0.000010901984,0.00013336622,0.00015987472,0.001666265,0.00053835235,0.9941724,0.0029214215,0.000015136223],"about_ca_topic_score_codex":0.0023162698,"about_ca_topic_score_gemma":0.003586425,"teacher_disagreement_score":0.008238419,"about_ca_system_score_codex":0.0028166869,"about_ca_system_score_gemma":0.0014108395,"threshold_uncertainty_score":0.027560234},"labels":[],"label_agreement":null},{"id":"W2026829591","doi":"10.1016/j.aim.2003.09.010","title":"Content evaluation and class symmetric functions","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Symmetric function; Symmetric group; Conjugacy class; Representation theory of the symmetric group; Basis (linear algebra); Pure mathematics; Triple system; Isomorphism (crystallography); Algebra over a field; Hecke algebra; Combinatorics","score_opus":0.08218348526209389,"score_gpt":0.3616754747862858,"score_spread":0.2794919895241919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2026829591","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3526568,0.0021217077,0.36574236,0.0055649024,0.0005351349,0.0001393241,0.00046736814,0.00063827966,0.27213418],"genre_scores_gemma":[0.9214186,0.0007404677,0.02174923,0.00028389427,0.00052573864,0.00007274658,0.00036026907,0.00033128224,0.05451784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973908,0.00073874765,0.00010319916,0.0003786576,0.0009110678,0.00047751132],"domain_scores_gemma":[0.9941788,0.0028076803,0.00042853534,0.00068158604,0.0013070729,0.00059635215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00272477,0.0007370467,0.0011798167,0.0035028262,0.002296678,0.0057002315,0.001367053,0.0014199209,0.011504103],"category_scores_gemma":[0.011072766,0.0004762582,0.0008744751,0.0024156545,0.0048583834,0.01389606,0.002942302,0.0028634449,0.0010273223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027279662,0.000013532826,0.00015814304,0.000011664981,0.0000030585456,0.000017280874,0.00009170196,0.0002601568,0.00028087388,0.9927914,0.00076026935,0.0055846614],"study_design_scores_gemma":[0.0000062159565,0.0000068531813,0.00019334766,0.0000073945957,0.0000059453523,0.00003999216,0.00005660959,0.003157639,0.0007551333,0.99353516,0.0022284796,0.0000072465245],"about_ca_topic_score_codex":0.0015690866,"about_ca_topic_score_gemma":0.0009572652,"teacher_disagreement_score":0.011504103,"about_ca_system_score_codex":0.0040365052,"about_ca_system_score_gemma":0.0010695262,"threshold_uncertainty_score":0.03848511},"labels":[],"label_agreement":null},{"id":"W2027107806","doi":"10.1016/j.aim.2007.04.016","title":"On the vertex index of convex bodies","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Calgary","funders":"","keywords":"Mathematics; Vertex (graph theory); Regular polygon; Combinatorics; Index (typography); Convex polytope; Convex analysis; Pure mathematics; Geometry; Convex optimization; Graph","score_opus":0.039389384321099195,"score_gpt":0.3440680033951013,"score_spread":0.3046786190740021,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027107806","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47228032,0.00471419,0.40091324,0.0028565656,0.0006013238,0.000063805615,0.0006883187,0.00024675537,0.11763543],"genre_scores_gemma":[0.94194394,0.0032593322,0.03460564,0.00031831922,0.000832483,0.00008836556,0.0006400659,0.00025975305,0.018052222],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988747,0.00029297997,0.000051993098,0.00018557893,0.000371622,0.00022306328],"domain_scores_gemma":[0.98674,0.008741906,0.0013821867,0.0005689785,0.0010568162,0.0015102332],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002437477,0.0010350414,0.0021682582,0.005285123,0.0020588366,0.006038128,0.0027412209,0.0019279215,0.00592103],"category_scores_gemma":[0.016626341,0.00071808556,0.0010647892,0.0036537016,0.0056016766,0.009351096,0.0036127109,0.004146937,0.00084758835],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006724972,0.00001644107,0.0007578216,0.000045090677,0.000012112241,0.00004680615,0.00015921766,0.005892596,0.0006025068,0.98580986,0.0007657644,0.0058245286],"study_design_scores_gemma":[0.000010275823,0.00001725047,0.00061725214,0.00003296619,0.000013872567,0.000042755666,0.00009350611,0.032353293,0.00037300764,0.9652053,0.0012249616,0.000015461068],"about_ca_topic_score_codex":0.0023326091,"about_ca_topic_score_gemma":0.0016614035,"teacher_disagreement_score":0.006038128,"about_ca_system_score_codex":0.002935471,"about_ca_system_score_gemma":0.00087285903,"threshold_uncertainty_score":0.021298409},"labels":[],"label_agreement":null},{"id":"W2027646475","doi":"10.1016/j.aim.2012.08.009","title":"Nash resolution for binomial varieties as Euclidean division. A priori termination bound, polynomial complexity in essential dimension 2","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Euclidean geometry; Dimension (graph theory); Discrete mathematics; Upper and lower bounds; Affine space; Affine transformation; Pure mathematics","score_opus":0.022870839400931844,"score_gpt":0.3053135035405641,"score_spread":0.28244266413963226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027646475","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3331165,0.007421278,0.26309985,0.010025545,0.00069670496,0.00013369133,0.001196189,0.00044992153,0.3838604],"genre_scores_gemma":[0.9408797,0.002276298,0.018223641,0.0006592071,0.0006686307,0.00012860175,0.00071922556,0.000130337,0.036314327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981185,0.00046797798,0.00008545537,0.0003431426,0.00065163313,0.00033323007],"domain_scores_gemma":[0.99512684,0.0029777668,0.00040758654,0.00044220238,0.00049481686,0.0005508044],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023744171,0.0010408226,0.0014119194,0.0027143762,0.0031222622,0.006600359,0.002110666,0.0020889314,0.013202723],"category_scores_gemma":[0.0063669025,0.00060297677,0.0015923375,0.0022514842,0.0054928316,0.013198883,0.0047178254,0.0065765125,0.0014791201],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003632178,0.000017705535,0.00018906359,0.000039390314,0.0000063652633,0.000028814007,0.00010262831,0.0012381581,0.0002499951,0.99484456,0.0010471332,0.0021998447],"study_design_scores_gemma":[0.000009971085,0.000007978465,0.00015919494,0.000010148595,0.0000087716935,0.00003604886,0.00003687422,0.0048535652,0.00022140531,0.993256,0.0013908695,0.000009296831],"about_ca_topic_score_codex":0.0020290397,"about_ca_topic_score_gemma":0.002354589,"teacher_disagreement_score":0.013202723,"about_ca_system_score_codex":0.0041890014,"about_ca_system_score_gemma":0.0013421918,"threshold_uncertainty_score":0.04416752},"labels":[],"label_agreement":null},{"id":"W2027866234","doi":"10.1016/s0001-8708(03)00010-0","title":"van Kampen theorems for toposes","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Macquarie University; McGill University","keywords":"Topos theory; Mathematics; Morphism; Bounded function; Pure mathematics; Base (topology); Context (archaeology); Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.026458893925820185,"score_gpt":0.3459341019401781,"score_spread":0.3194752080143579,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027866234","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11788612,0.015395792,0.25794622,0.008489467,0.0016149742,0.000111550595,0.0010502972,0.000792728,0.5967129],"genre_scores_gemma":[0.8328671,0.011373448,0.047558922,0.0020895277,0.0019925514,0.00030905622,0.00113697,0.0003669031,0.102305576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992539,0.00018080416,0.000041573418,0.00015841922,0.00023800462,0.00012719439],"domain_scores_gemma":[0.9990471,0.0005285749,0.00006404036,0.00011963378,0.00013311958,0.000107430555],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014710174,0.0013309676,0.0011185522,0.0051320437,0.0025048947,0.0043435674,0.0013274217,0.0012748641,0.01277509],"category_scores_gemma":[0.0025411318,0.0006941027,0.0012833776,0.003344475,0.0041506225,0.009257056,0.003374522,0.0046146573,0.0015285959],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010228646,0.000005278931,0.00003690833,0.00002800764,0.000007842634,0.000032356533,0.00017832824,0.00019114355,0.00021072544,0.9950152,0.0011715966,0.0031122686],"study_design_scores_gemma":[0.0000062934923,0.0000033651802,0.0000481847,0.000006954506,0.000005127505,0.000027116976,0.00004806395,0.00038922613,0.0001033977,0.99413294,0.00522519,0.000004159673],"about_ca_topic_score_codex":0.0017295716,"about_ca_topic_score_gemma":0.001573372,"teacher_disagreement_score":0.01277509,"about_ca_system_score_codex":0.0017769125,"about_ca_system_score_gemma":0.00057461474,"threshold_uncertainty_score":0.042736948},"labels":[],"label_agreement":null},{"id":"W2029121042","doi":"10.1016/j.aim.2005.04.013","title":"Projectively simple rings","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Automorphism; Subvariety; Conjecture; Pure mathematics; Abelian group; Simple (philosophy); Invariant (physics); Abelian variety; Projective variety; Noetherian; Line bundle; Variety (cybernetics); Combinatorics; Algebra over a field","score_opus":0.022664703934704846,"score_gpt":0.3311358569899209,"score_spread":0.30847115305521605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029121042","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13869014,0.00992504,0.07856309,0.01094237,0.001249861,0.00005650327,0.00075404264,0.0005768046,0.7592422],"genre_scores_gemma":[0.878756,0.0053361184,0.014567594,0.0009545087,0.0021788145,0.000059552545,0.0006329715,0.00007903663,0.097435415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947983,0.00013787913,0.000021146769,0.0001250507,0.00019135264,0.000044799614],"domain_scores_gemma":[0.99945194,0.00020619317,0.00006628558,0.00009457783,0.0001115472,0.0000695739],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005686984,0.0005466523,0.0005450649,0.00089764677,0.001464792,0.0028865356,0.00043110538,0.0006020901,0.011107082],"category_scores_gemma":[0.0014473364,0.00039620977,0.0003365037,0.0010438155,0.0029586353,0.0041603646,0.0014336974,0.0024401217,0.0019408845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010576323,0.000008322489,0.000094984156,0.000019403073,0.0000040253685,0.000022908433,0.00011980197,0.0001362854,0.00035633548,0.99295384,0.0025565152,0.0037170502],"study_design_scores_gemma":[0.000010973318,0.000012408136,0.00030402432,0.0000059551694,0.00000861589,0.00014362502,0.000046023888,0.00040176837,0.00038621607,0.9750919,0.023582827,0.000005571608],"about_ca_topic_score_codex":0.00038558897,"about_ca_topic_score_gemma":0.00037326256,"teacher_disagreement_score":0.011107082,"about_ca_system_score_codex":0.00083679246,"about_ca_system_score_gemma":0.00047064113,"threshold_uncertainty_score":0.03715688},"labels":[],"label_agreement":null},{"id":"W2029215096","doi":"10.1016/j.aim.2010.10.019","title":"Equivariant Ehrhart theory","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Polytope; Mathematics; Equivariant map; Lattice (music); Toric variety; Representation theory; Schubert calculus; Pure mathematics; Character (mathematics); Generalization; Representation (politics); Algebra over a field; Generalized flag variety; Lie group; Combinatorics; Grassmannian; Mathematical analysis; Geometry","score_opus":0.020543621233203933,"score_gpt":0.34361264718191,"score_spread":0.32306902594870607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029215096","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24950722,0.003092585,0.13624044,0.008015193,0.0022176597,0.000067120774,0.0007545779,0.00076056796,0.5993447],"genre_scores_gemma":[0.85246485,0.002185347,0.013360421,0.0010288132,0.0018973029,0.000037664315,0.00053740694,0.0002795652,0.12820873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99925464,0.00015317422,0.000033697528,0.00013465738,0.00029832768,0.00012555662],"domain_scores_gemma":[0.9994696,0.00010125999,0.000062557,0.000100140336,0.00015240494,0.00011411762],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007634349,0.0010406402,0.00097562326,0.0023377747,0.0013264712,0.0024885444,0.00075863785,0.0010301847,0.009684415],"category_scores_gemma":[0.0014440633,0.0003703767,0.0007126015,0.0013042265,0.0023145238,0.0050819507,0.002892839,0.003873087,0.0020229956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000072737434,0.000010536747,0.000059077705,0.000010324447,0.0000043976843,0.000028425298,0.000059629536,0.00011327033,0.00028629138,0.99555653,0.00088524027,0.0029788946],"study_design_scores_gemma":[0.000007096431,0.000010786497,0.00023583806,0.0000057092275,0.000006651201,0.00012643346,0.000046364927,0.0010051648,0.00041849067,0.99124044,0.006887268,0.000009821125],"about_ca_topic_score_codex":0.0005232161,"about_ca_topic_score_gemma":0.00031031301,"teacher_disagreement_score":0.009684415,"about_ca_system_score_codex":0.0009904706,"about_ca_system_score_gemma":0.00045538013,"threshold_uncertainty_score":0.03239757},"labels":[],"label_agreement":null},{"id":"W2029391075","doi":"10.1016/j.aim.2011.12.027","title":"Semiregular polytopes and amalgamated C-groups","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Polytope; Mathematics; Combinatorics; Group (periodic table); Automorphism; Regular polygon; Automorphism group; Transitive relation; Reduction (mathematics); Discrete mathematics; Geometry","score_opus":0.038770891528650486,"score_gpt":0.3570535453123472,"score_spread":0.3182826537836967,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029391075","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67132133,0.0024643661,0.16802616,0.0033808374,0.0009828008,0.00011552989,0.00059148844,0.00042649292,0.1526909],"genre_scores_gemma":[0.9415329,0.0010135949,0.023088073,0.0006241124,0.00085337827,0.00015601805,0.0005411733,0.00014596728,0.032044765],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991172,0.00018725442,0.000049590235,0.00024476607,0.00024220046,0.00015892106],"domain_scores_gemma":[0.9985461,0.00055259553,0.0002586987,0.00019021748,0.00014567659,0.00030673895],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078094366,0.001239012,0.0010685608,0.0026133994,0.0027526924,0.0038442507,0.0013824431,0.0013984957,0.009345956],"category_scores_gemma":[0.002212181,0.00066479185,0.0010233953,0.0016999915,0.0051245755,0.004028286,0.0030781352,0.0034664532,0.0009302296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031991836,0.000013476911,0.00008535966,0.000017212016,0.0000058394467,0.000054234828,0.00014813035,0.00037320334,0.00040376635,0.9964399,0.00050055684,0.0019263129],"study_design_scores_gemma":[0.000024299708,0.000020130803,0.0001927987,0.000009940467,0.00000835395,0.00009519475,0.000120069075,0.0018532245,0.00031077626,0.9944495,0.0029027485,0.0000129745595],"about_ca_topic_score_codex":0.0011816325,"about_ca_topic_score_gemma":0.0009522847,"teacher_disagreement_score":0.009345956,"about_ca_system_score_codex":0.0013196719,"about_ca_system_score_gemma":0.00045460963,"threshold_uncertainty_score":0.03126532},"labels":[],"label_agreement":null},{"id":"W2029408549","doi":"10.1016/j.aim.2009.04.006","title":"Bounding multiplicative energy by the sumset","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":148,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Bounding overwatch; Mathematics; Multiplicative function; Upper and lower bounds; Set (abstract data type); Discrete mathematics; Computer science; Mathematical analysis","score_opus":0.01552868812815231,"score_gpt":0.3177975687069196,"score_spread":0.3022688805787673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029408549","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12249595,0.004479212,0.76745963,0.00612622,0.0013580109,0.000049963644,0.0003431972,0.00078298774,0.09690478],"genre_scores_gemma":[0.8606874,0.0028894357,0.09038137,0.0018525396,0.0024398675,0.00021882378,0.00036008886,0.0011453868,0.040025093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778193,0.0007392167,0.00009189874,0.0004296027,0.0007187208,0.00023866245],"domain_scores_gemma":[0.9924906,0.0051950114,0.00041954793,0.00077596086,0.0004196487,0.0006991815],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002734646,0.0019661982,0.002321735,0.0038859416,0.0018296229,0.0040106587,0.0037899304,0.002789678,0.008072599],"category_scores_gemma":[0.014688616,0.0012348131,0.001687427,0.0018311483,0.006267455,0.014387035,0.0076181744,0.0071365186,0.0013196724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003217279,0.000019638492,0.00016909215,0.000049926803,0.000014359444,0.00003234806,0.00007041216,0.0042461767,0.0005420224,0.98923934,0.0011042567,0.0044802628],"study_design_scores_gemma":[0.000003686092,0.0000073952274,0.000066226785,0.000013497353,0.000007620887,0.000033704102,0.000013664742,0.027256431,0.00027853367,0.971201,0.00110847,0.0000096840895],"about_ca_topic_score_codex":0.00068370235,"about_ca_topic_score_gemma":0.0008022785,"teacher_disagreement_score":0.008072599,"about_ca_system_score_codex":0.0013734199,"about_ca_system_score_gemma":0.00072149467,"threshold_uncertainty_score":0.027005494},"labels":[],"label_agreement":null},{"id":"W2030296624","doi":"10.1016/j.aim.2009.05.008","title":"A combinatorial rule for (co)minuscule Schubert calculus","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Schubert calculus; Grassmannian; Mathematics; Schubert variety; Schubert polynomial; Partially ordered set; Generalization; Flag (linear algebra); Combinatorics; Intersection (aeronautics); Pure mathematics; Intersection theory; Hermitian matrix; Bruhat order; Algebra over a field; Weyl group; Mathematical analysis","score_opus":0.02804331887760281,"score_gpt":0.3630818684055168,"score_spread":0.335038549527914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2030296624","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.113524236,0.0009866513,0.33849904,0.0033944263,0.004917427,0.0002472219,0.0005241465,0.0014284758,0.5364784],"genre_scores_gemma":[0.8576501,0.00082186516,0.06732902,0.0016553114,0.00214068,0.0003578459,0.00041947732,0.0008000007,0.06882561],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876034,0.00023158,0.00010776507,0.00027464895,0.0004189926,0.00020671375],"domain_scores_gemma":[0.9990802,0.0002973721,0.000048881375,0.00014245106,0.0002831897,0.00014796443],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015345081,0.0007558935,0.0009064236,0.0028731658,0.004935247,0.0052721864,0.001394152,0.0018842842,0.008870966],"category_scores_gemma":[0.0029897986,0.00062643085,0.0010942452,0.0015367059,0.0057016993,0.006124003,0.003291576,0.0044375597,0.0028615596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008995592,0.000008230263,0.000048176047,0.000011394443,0.000002158174,0.000081643026,0.0001433622,0.000039904247,0.00044603477,0.99460405,0.00127455,0.00333156],"study_design_scores_gemma":[0.0000080245045,0.000008931243,0.0001095196,0.0000086000755,0.000009268372,0.0001894608,0.000076901764,0.00043204904,0.00068256806,0.98658746,0.011870433,0.000016724664],"about_ca_topic_score_codex":0.0011812082,"about_ca_topic_score_gemma":0.0013582899,"teacher_disagreement_score":0.008870966,"about_ca_system_score_codex":0.0011473234,"about_ca_system_score_gemma":0.00072871294,"threshold_uncertainty_score":0.029676318},"labels":[],"label_agreement":null},{"id":"W2030831496","doi":"10.1016/j.aim.2008.04.014","title":"An algebra containing the two-sided convolution operators","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Algebra over a field; Bounded function; Pure mathematics; Filtered algebra; Operator theory; Cellular algebra; Invariant (physics); Convolution (computer science); Group algebra; Algebra representation; Mathematical analysis; Mathematical physics","score_opus":0.0529356075091704,"score_gpt":0.382298063471673,"score_spread":0.3293624559625026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2030831496","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12515053,0.0028481456,0.6629702,0.0028053494,0.0021644284,0.00010520783,0.00060371676,0.0005099499,0.20284252],"genre_scores_gemma":[0.80230963,0.0021212648,0.11062892,0.0019058448,0.0023707144,0.0001786997,0.0006104656,0.00031525156,0.079559214],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99826235,0.00038442048,0.00012632944,0.00030007833,0.00071134383,0.00021538786],"domain_scores_gemma":[0.99833375,0.00042622298,0.00018740636,0.00022432022,0.00051131914,0.000316957],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020515088,0.0009034184,0.0011089493,0.0016853896,0.002175847,0.0041418886,0.0014297325,0.0015936617,0.007487856],"category_scores_gemma":[0.0027374444,0.00046502572,0.0013872874,0.00156506,0.0029904437,0.0070687234,0.0023670034,0.0032363508,0.0020905202],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013845206,0.000014522138,0.000033869186,0.000017039043,0.000004881125,0.00006160897,0.0000677669,0.00017111204,0.00088507595,0.9952858,0.0006196086,0.0028250471],"study_design_scores_gemma":[0.000009774519,0.00002594416,0.000075633296,0.0000076230817,0.000007064224,0.00024125914,0.000032772758,0.004086446,0.00075645524,0.98946124,0.005277639,0.000018103861],"about_ca_topic_score_codex":0.0005919492,"about_ca_topic_score_gemma":0.00041054375,"teacher_disagreement_score":0.007487856,"about_ca_system_score_codex":0.001072195,"about_ca_system_score_gemma":0.001498909,"threshold_uncertainty_score":0.025049388},"labels":[],"label_agreement":null},{"id":"W2031530356","doi":"10.1016/j.aim.2005.10.005","title":"Classification of irreducible weight modules over higher rank Virasoro algebras","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Rank (graph theory); Virasoro algebra; Subalgebra; Pure mathematics; Series (stratigraphy); Verma module; Algebra over a field; Algebra representation; Cellular algebra; Combinatorics; Lie algebra","score_opus":0.025352690700623064,"score_gpt":0.31309720762722,"score_spread":0.2877445169265969,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031530356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9614636,0.0004588679,0.015909996,0.00043382324,0.00011803689,0.000032014428,0.0002082578,0.00022105445,0.021154344],"genre_scores_gemma":[0.9861081,0.00032681157,0.003020421,0.00009303041,0.00022910384,0.000019821584,0.00066984835,0.0000537321,0.009479185],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99925524,0.00010099036,0.00005181072,0.0001095894,0.00024198757,0.00024042542],"domain_scores_gemma":[0.9986761,0.00028629808,0.0003590558,0.00015621718,0.0001580654,0.00036419882],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00100023,0.0006308832,0.00091032183,0.0036567787,0.0013558355,0.00401036,0.0011734756,0.0011413373,0.005836958],"category_scores_gemma":[0.0016602585,0.00034971122,0.0005904605,0.0023390283,0.0020290185,0.004163594,0.0014000923,0.0014833855,0.00074283197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020358847,0.00014977953,0.0065815537,0.00008529136,0.00002414934,0.00018866781,0.0006935371,0.0015597475,0.005429502,0.9587683,0.003077174,0.023238774],"study_design_scores_gemma":[0.000059884278,0.000090124595,0.005972217,0.000056037024,0.00003876388,0.0005861084,0.00033500107,0.012909371,0.0029699784,0.9687734,0.008162749,0.00004632965],"about_ca_topic_score_codex":0.00049737346,"about_ca_topic_score_gemma":0.00042463277,"teacher_disagreement_score":0.005836958,"about_ca_system_score_codex":0.0009482255,"about_ca_system_score_gemma":0.00056471484,"threshold_uncertainty_score":0.0195266},"labels":[],"label_agreement":null},{"id":"W2031678811","doi":"10.1016/j.aim.2014.11.021","title":"Chirality and principal graph obstructions","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bipartite graph; Mathematics; Combinatorics; Principal (computer security); Point (geometry); Graph; Principal component analysis; Discrete mathematics; Computer science; Geometry; Statistics","score_opus":0.08694583336967171,"score_gpt":0.41650261871352384,"score_spread":0.32955678534385213,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031678811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4857323,0.0030377856,0.08734161,0.022065207,0.004050549,0.00011764807,0.00062943605,0.0011087173,0.39591682],"genre_scores_gemma":[0.9394633,0.0011817471,0.008343125,0.0014151075,0.002429832,0.000065224565,0.00028388735,0.00033348816,0.046484277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988004,0.0003465084,0.00004267896,0.00017868409,0.00039636032,0.00023541963],"domain_scores_gemma":[0.99829334,0.00051892386,0.00023769852,0.0002118195,0.00023977745,0.00049848674],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012204156,0.0013127513,0.0014542685,0.003969686,0.0033902444,0.0045610536,0.001626875,0.002513862,0.013707788],"category_scores_gemma":[0.0039630476,0.00073563104,0.0011297652,0.001566589,0.0065291957,0.00808233,0.0043582795,0.0047036195,0.0015390143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014004112,0.000014492036,0.000044891945,0.000010597982,0.0000021550557,0.000038225553,0.00006742229,0.00011879056,0.00016496243,0.9977836,0.0009302422,0.00081058434],"study_design_scores_gemma":[0.000008428151,0.0000028277168,0.000046896286,0.0000032229666,0.0000018780206,0.000047142057,0.000022899385,0.0007487879,0.00007427436,0.9982222,0.00081701454,0.0000044638878],"about_ca_topic_score_codex":0.0013834935,"about_ca_topic_score_gemma":0.0013047383,"teacher_disagreement_score":0.013707788,"about_ca_system_score_codex":0.0015758991,"about_ca_system_score_gemma":0.0010653235,"threshold_uncertainty_score":0.04585713},"labels":[],"label_agreement":null},{"id":"W2031889345","doi":"10.1016/j.aim.2007.03.006","title":"Noncommutative geometry and motives: The thermodynamics of endomotives","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":65,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Noncommutative geometry; Pure mathematics; Endomorphism; Noncommutative algebraic geometry; Multiplicative function; Étale cohomology; Group (periodic table); Cyclic homology; Algebra over a field; Cohomology; Group cohomology; Noncommutative quantum field theory; Mathematical analysis","score_opus":0.01620715144372534,"score_gpt":0.33068343397602407,"score_spread":0.3144762825322987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031889345","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41064292,0.024027709,0.2005684,0.025899328,0.0026806865,0.000068586996,0.00044387337,0.00024659725,0.3354219],"genre_scores_gemma":[0.96558815,0.0035653564,0.006158653,0.001021727,0.0015729327,0.000052668052,0.000092042894,0.00009038305,0.021858104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992489,0.00025009504,0.000026949898,0.00010022378,0.00028201306,0.00009187207],"domain_scores_gemma":[0.9983531,0.000715713,0.00015647705,0.00032282228,0.00023590944,0.0002159243],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016057388,0.00041623137,0.0007766063,0.0010479784,0.001499897,0.0032040805,0.0010777911,0.0019037023,0.00616464],"category_scores_gemma":[0.004237863,0.000539637,0.0004608815,0.000681563,0.005198595,0.0081816465,0.001931302,0.0018594824,0.0004836886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003830142,0.000005656676,0.00007676285,0.000009371181,0.0000019180748,0.000012547861,0.00006222074,0.0003018684,0.0001655957,0.9981858,0.00043738697,0.00073695777],"study_design_scores_gemma":[0.0000023498128,0.0000034086925,0.00013558015,0.0000047295684,8.791376e-7,0.00002330294,0.000031058957,0.0010561954,0.0000612526,0.99761885,0.0010577482,0.0000045287698],"about_ca_topic_score_codex":0.0005956738,"about_ca_topic_score_gemma":0.00089005206,"teacher_disagreement_score":0.00616464,"about_ca_system_score_codex":0.0010941895,"about_ca_system_score_gemma":0.00092676526,"threshold_uncertainty_score":0.02062279},"labels":[],"label_agreement":null},{"id":"W2032127054","doi":"10.1016/j.aim.2014.05.018","title":"False theta functions and the Verlinde formula","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":74,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Fusion rules; Vertex (graph theory); Conformal field theory; Pure mathematics; Theta function; Conformal map; Vertex operator algebra; Representation theory; Transformation (genetics); Operator algebra; Algebra over a field; Algebra representation; Discrete mathematics; Fusion; Graph; Mathematical analysis","score_opus":0.013644560519776222,"score_gpt":0.2824997385729796,"score_spread":0.26885517805320336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032127054","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4698142,0.0075931875,0.14509356,0.020300578,0.0019018356,0.000025440393,0.00034640683,0.00040780823,0.3545169],"genre_scores_gemma":[0.97471946,0.00096167397,0.005807006,0.0007098897,0.00056961976,0.000017018263,0.00010081972,0.00005228633,0.017062327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924785,0.0002704373,0.000029813236,0.0000971719,0.00023969996,0.000115055365],"domain_scores_gemma":[0.9981014,0.0011372792,0.00016053993,0.00021224361,0.00021393067,0.00017463062],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013517812,0.0006517398,0.00060884113,0.0018358538,0.0016783448,0.0038196724,0.0011330659,0.0016561971,0.0058543603],"category_scores_gemma":[0.005669467,0.0004279744,0.0005006011,0.0011143734,0.006666304,0.007862172,0.0022350056,0.0046632146,0.0006805573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008602023,0.000003929933,0.000060067174,0.000005652653,0.0000013823204,0.000028156219,0.00005814353,0.00012344029,0.00009768134,0.99824107,0.00036336138,0.0010084342],"study_design_scores_gemma":[0.0000032553185,0.0000019526462,0.00003994798,0.0000026486737,0.0000010791881,0.000033482866,0.000024301506,0.00048391713,0.000057750454,0.9986811,0.0006675892,0.000003025238],"about_ca_topic_score_codex":0.00090967026,"about_ca_topic_score_gemma":0.0007199514,"teacher_disagreement_score":0.0058543603,"about_ca_system_score_codex":0.0014499893,"about_ca_system_score_gemma":0.0005954471,"threshold_uncertainty_score":0.019584835},"labels":[],"label_agreement":null},{"id":"W2034548735","doi":"10.1016/j.aim.2008.11.003","title":"A generalization of Kneser's Addition Theorem","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Subsequence; Generalization; Combinatorics; Abelian group; Sequence (biology); Upper and lower bounds; Discrete mathematics; Group (periodic table); Mathematical analysis","score_opus":0.028450796666837832,"score_gpt":0.2926003552485285,"score_spread":0.2641495585816907,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034548735","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.028818747,0.0053357943,0.4831632,0.009101164,0.0048154485,0.000118247175,0.00083807367,0.001133439,0.46667588],"genre_scores_gemma":[0.6125916,0.011197093,0.19529891,0.010964705,0.010694378,0.00039553107,0.0011046156,0.0009382894,0.15681489],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983608,0.00029361842,0.000105842235,0.0005575298,0.00052528566,0.00015691387],"domain_scores_gemma":[0.9979798,0.0008488552,0.00015468572,0.00039847678,0.00040382228,0.00021441258],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018047935,0.0010227355,0.0012481385,0.0027482063,0.0024784459,0.0033767873,0.0020932567,0.0013650294,0.019600162],"category_scores_gemma":[0.0054351673,0.00052551547,0.0017409812,0.00222964,0.0042113625,0.013009956,0.0056110555,0.005129357,0.0049319114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020467345,0.000018736559,0.000108808345,0.00008754511,0.000016144177,0.000071184855,0.00015636442,0.00027420023,0.00045802028,0.9811613,0.004861616,0.012765707],"study_design_scores_gemma":[0.0000075010844,0.000010318389,0.00012523896,0.00001418458,0.000011724068,0.00016975724,0.000035597954,0.0005444547,0.00029627062,0.98369294,0.015080003,0.000011919841],"about_ca_topic_score_codex":0.00053085503,"about_ca_topic_score_gemma":0.000631318,"teacher_disagreement_score":0.019600162,"about_ca_system_score_codex":0.0009302514,"about_ca_system_score_gemma":0.0007831559,"threshold_uncertainty_score":0.06556904},"labels":[],"label_agreement":null},{"id":"W2034914023","doi":"10.1016/j.aim.2013.11.001","title":"The higher Riemann–Hilbert correspondence","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Holonomy; Mathematics; Homotopy; Pure mathematics; Connection (principal bundle); Homotopy category; Equivalence (formal languages); Generalization; Infinity; Manifold (fluid mechanics); Model category; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.018650305601830307,"score_gpt":0.31573008510874323,"score_spread":0.29707977950691294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034914023","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20617218,0.010595396,0.14581463,0.018032668,0.0018966619,0.00004218043,0.00048127095,0.00051033875,0.6164547],"genre_scores_gemma":[0.9272178,0.0022767282,0.01457714,0.0013622361,0.0019563423,0.000040969226,0.00018923609,0.0001259278,0.052253705],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993156,0.00021543526,0.000033099375,0.00014502535,0.00020785457,0.00008297694],"domain_scores_gemma":[0.9990884,0.00034813656,0.00009282538,0.00017302022,0.0001517704,0.00014589186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009952063,0.0005014184,0.00064257096,0.0023193792,0.0015887053,0.0035054034,0.0006423031,0.0012517972,0.010883319],"category_scores_gemma":[0.0019112062,0.0002940934,0.00048902875,0.0015869756,0.0041870666,0.006822013,0.0024771588,0.0029147742,0.0012889992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004183499,0.0000028864285,0.000036213263,0.0000066154234,0.0000014742631,0.000012516425,0.00006577593,0.000059140526,0.00014583414,0.9975299,0.00039617016,0.0017393321],"study_design_scores_gemma":[0.000004540333,0.0000031491206,0.000106281856,0.000003240494,0.0000012496221,0.000041072843,0.000022438211,0.0003542286,0.000100481804,0.9942385,0.0051212814,0.000003450587],"about_ca_topic_score_codex":0.00079651695,"about_ca_topic_score_gemma":0.00052980735,"teacher_disagreement_score":0.010883319,"about_ca_system_score_codex":0.0016926313,"about_ca_system_score_gemma":0.0006480082,"threshold_uncertainty_score":0.036408365},"labels":[],"label_agreement":null},{"id":"W2036585859","doi":"10.1016/j.aim.2008.04.013","title":"Enumeration of rational plane curves tangent to a smooth cubic","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Enumeration; Tangent; Stack (abstract data type); Plane curve; Plane (geometry); Degree (music); Cubic surface; Tangent space; Pure mathematics; Cubic function; Mathematical analysis; Combinatorics; Geometry; Physics","score_opus":0.03060492310703028,"score_gpt":0.3099766175795365,"score_spread":0.2793716944725062,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036585859","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88117576,0.00028955276,0.052074317,0.00062407076,0.00009257426,0.000085852014,0.0007885797,0.00033669063,0.06453262],"genre_scores_gemma":[0.9387373,0.00040433556,0.03418887,0.0000927912,0.00005798186,0.000047647616,0.0016543617,0.00016169356,0.02465505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936754,0.000102053695,0.000043403023,0.00008534292,0.00026644586,0.00013521219],"domain_scores_gemma":[0.9988399,0.00042465972,0.00015778195,0.0001546626,0.0002650429,0.00015794695],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004239126,0.0008427515,0.0009310295,0.0027701645,0.0016439236,0.0037164965,0.0013012468,0.0010617449,0.009343343],"category_scores_gemma":[0.002521928,0.00045463565,0.00049089646,0.003693002,0.0016386814,0.0022651604,0.0017988415,0.0018956673,0.001370956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00059662707,0.00013141401,0.004743292,0.00026821805,0.00003362,0.0005659762,0.001295946,0.012030649,0.012390864,0.89283556,0.00613897,0.068968795],"study_design_scores_gemma":[0.000097135686,0.00015332959,0.004326669,0.00011941036,0.000081757535,0.00080148334,0.0013319334,0.067264766,0.009469114,0.8915833,0.024692701,0.00007834753],"about_ca_topic_score_codex":0.0028322227,"about_ca_topic_score_gemma":0.0035815376,"teacher_disagreement_score":0.009343343,"about_ca_system_score_codex":0.0012978418,"about_ca_system_score_gemma":0.0008154786,"threshold_uncertainty_score":0.031256616},"labels":[],"label_agreement":null},{"id":"W2036618540","doi":"10.1016/j.aim.2005.11.002","title":"Characterizing continuous functions on compact spaces","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Hausdorff space; Characterization (materials science); Continuous functions on a compact Hausdorff space; Metric space; Locally compact space; Compact space; Pure mathematics; Generality; Compact-open topology; Simple (philosophy); Relatively compact subspace; Topology (electrical circuits); Set (abstract data type); Hausdorff distance; Mathematical analysis; Functional analysis; Interpolation space; Combinatorics","score_opus":0.02687483607242347,"score_gpt":0.33379992177900814,"score_spread":0.30692508570658467,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036618540","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47741657,0.001759549,0.49375132,0.001417138,0.0001570713,0.00007496008,0.00036106113,0.00026178142,0.024800565],"genre_scores_gemma":[0.9575668,0.0010116317,0.030819979,0.00020982383,0.00035562296,0.00009256189,0.00049671956,0.00011956475,0.00932723],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985293,0.00042632988,0.00008906751,0.00028740024,0.00048296698,0.00018497417],"domain_scores_gemma":[0.99089164,0.005622653,0.0009094471,0.0006415973,0.0012207861,0.00071389443],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002552263,0.0015622994,0.001196073,0.0027310343,0.0011627671,0.006708082,0.0018399346,0.002323692,0.0034866948],"category_scores_gemma":[0.011649222,0.00082477607,0.0007817228,0.0032084652,0.0035182124,0.011274862,0.002583718,0.0031704532,0.00036601527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000669585,0.000054157874,0.00071469956,0.00007796324,0.00001805847,0.00009985458,0.00065682665,0.002807113,0.004080802,0.98000973,0.0007678371,0.010645819],"study_design_scores_gemma":[0.000018704035,0.00006560423,0.00062255113,0.000023874782,0.000016162621,0.00021330277,0.0004778015,0.025877398,0.0026705104,0.9672286,0.0027666313,0.000018853752],"about_ca_topic_score_codex":0.00051149965,"about_ca_topic_score_gemma":0.00026633183,"teacher_disagreement_score":0.006708082,"about_ca_system_score_codex":0.0019176598,"about_ca_system_score_gemma":0.00058872264,"threshold_uncertainty_score":0.013913691},"labels":[],"label_agreement":null},{"id":"W2037269616","doi":"10.1016/j.aim.2007.12.001","title":"Möbius functions and semigroup representation theory II: Character formulas and multiplicities","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":95,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Semigroup; Character (mathematics); Idempotence; Irreducible representation; Pure mathematics; Representation theory; Special classes of semigroups; Bicyclic semigroup; Inverse; Representation (politics); Combinatorics","score_opus":0.014742891250432528,"score_gpt":0.2537533366990527,"score_spread":0.23901044544862018,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037269616","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31933,0.011968384,0.4834723,0.013519563,0.0015108412,0.00007239624,0.0003034396,0.00041874504,0.16940442],"genre_scores_gemma":[0.94810474,0.0020190296,0.020880627,0.00064202916,0.0012015223,0.00009718126,0.00012573742,0.00009967997,0.026829455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994593,0.00019014756,0.000032945085,0.00011675749,0.00011988558,0.000080853875],"domain_scores_gemma":[0.9979771,0.0013218656,0.00018145822,0.00017094822,0.00022127385,0.00012745708],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011266174,0.00085369294,0.0008550651,0.0017241333,0.001402513,0.0044944636,0.0010576647,0.0015755796,0.00540918],"category_scores_gemma":[0.004725789,0.0005091315,0.0006607846,0.0019077192,0.0044114515,0.007909301,0.0020699431,0.003433805,0.0007459256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010378558,0.0000064368105,0.000066025365,0.00001533056,0.0000021819446,0.000024679006,0.00020174397,0.00016437747,0.00024034077,0.9957476,0.0005152985,0.0030056497],"study_design_scores_gemma":[0.0000042281613,0.00000636008,0.00005713857,0.000007986995,0.000003920017,0.00005960211,0.00007037688,0.0012315759,0.00021638919,0.99677783,0.0015587059,0.000005876702],"about_ca_topic_score_codex":0.00058045506,"about_ca_topic_score_gemma":0.00034252537,"teacher_disagreement_score":0.00540918,"about_ca_system_score_codex":0.0013602076,"about_ca_system_score_gemma":0.00069697655,"threshold_uncertainty_score":0.018095493},"labels":[],"label_agreement":null},{"id":"W2037923516","doi":"10.1016/j.aim.2006.08.006","title":"The sharp Sobolev and isoperimetric inequalities split twice","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Isoperimetric inequality; Mathematics; Inequality; Affine transformation; Mathematical analysis; Sobolev space; Pure mathematics","score_opus":0.02889929179335651,"score_gpt":0.3219597156679886,"score_spread":0.2930604238746321,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037923516","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14535518,0.019905085,0.6253925,0.019698258,0.003408961,0.00007801295,0.0005552812,0.00040774402,0.18519899],"genre_scores_gemma":[0.837705,0.01204639,0.059941724,0.00510646,0.005759669,0.0002156421,0.00055742246,0.0005698479,0.07809782],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998066,0.0005905207,0.00009377856,0.00040910707,0.0005811695,0.00025936562],"domain_scores_gemma":[0.99179393,0.0044894926,0.0008013023,0.000875507,0.0012073484,0.0008324085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034491299,0.0020055682,0.0016325978,0.0032682212,0.001376844,0.0044425908,0.0018467263,0.0029542812,0.012664413],"category_scores_gemma":[0.015444835,0.00088698184,0.0016351903,0.0020055568,0.005262971,0.012892796,0.0047747553,0.010562841,0.0017239732],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007153836,0.000018104072,0.00026066368,0.00008884449,0.00002427528,0.000090265276,0.0002107399,0.00067764556,0.0015490565,0.9838684,0.0018606726,0.011279739],"study_design_scores_gemma":[0.000015750726,0.000023088742,0.0004744974,0.000022819553,0.000019288147,0.00015254055,0.00009333888,0.008113066,0.00072061416,0.9852706,0.0050775935,0.00001667805],"about_ca_topic_score_codex":0.0009904532,"about_ca_topic_score_gemma":0.0005565881,"teacher_disagreement_score":0.012664413,"about_ca_system_score_codex":0.0016590544,"about_ca_system_score_gemma":0.0006702438,"threshold_uncertainty_score":0.042366683},"labels":[],"label_agreement":null},{"id":"W2038835699","doi":"10.1016/j.aim.2012.01.021","title":"Algebraic theory of vector-valued integration","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Monad (category theory); Banach space; Reflexive space; Separable space; Vector space; Infinite-dimensional vector function; Bounded function; Pure mathematics; Algebraic number; Locally convex topological vector space; Algebra over a field; Discrete mathematics; Banach manifold; Interpolation space; Lp space; Functional analysis; Topological space; Mathematical analysis; Functor","score_opus":0.02904732978310353,"score_gpt":0.3326206384302356,"score_spread":0.30357330864713206,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038835699","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11847939,0.017017914,0.46028766,0.010837579,0.0017232741,0.000048601687,0.00048396856,0.00042345386,0.39069813],"genre_scores_gemma":[0.9098367,0.0058607403,0.035574533,0.0010929503,0.0023898836,0.00007741125,0.0003131155,0.000095907446,0.044758663],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934703,0.00017349912,0.000034085995,0.00011015441,0.00026708786,0.00006809899],"domain_scores_gemma":[0.9993113,0.0002226073,0.00006330522,0.000071068185,0.00022424347,0.00010758284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010660483,0.0006649665,0.0009034593,0.0020343221,0.0014184281,0.0038332955,0.0011188729,0.0009274239,0.0055686706],"category_scores_gemma":[0.0016668942,0.00033735248,0.0005771528,0.0016383639,0.0048386655,0.00651017,0.0018575026,0.0029674554,0.00062884245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000015799124,0.0000025629008,0.000019070516,0.00000627856,0.0000018361785,0.000006295792,0.000036264246,0.0001070528,0.000053189564,0.9986713,0.00022586029,0.0008687174],"study_design_scores_gemma":[0.0000036436472,0.0000025306654,0.000044174434,0.0000032545,0.0000017357316,0.000016940421,0.000020713818,0.0007560592,0.00003635409,0.9966929,0.002419431,0.0000023109112],"about_ca_topic_score_codex":0.0015265797,"about_ca_topic_score_gemma":0.0009512351,"teacher_disagreement_score":0.0055686706,"about_ca_system_score_codex":0.0019299411,"about_ca_system_score_gemma":0.00082982087,"threshold_uncertainty_score":0.018629074},"labels":[],"label_agreement":null},{"id":"W2039168378","doi":"10.1016/j.aim.2011.10.002","title":"Fixed points and lines in 2-metric spaces","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Metric space; Fixed point; Real line; Bounded function; Axiom; Metric (unit); Product metric; Fixed-point theorem; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.034625320760162524,"score_gpt":0.30771150046169987,"score_spread":0.27308617970153737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039168378","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29293087,0.01710554,0.5789606,0.006274191,0.00080571073,0.00009463541,0.00061199855,0.00035679303,0.10285958],"genre_scores_gemma":[0.86374897,0.008118767,0.08683087,0.0008775689,0.00176415,0.00027117663,0.000722137,0.00018468741,0.0374818],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990657,0.00038445424,0.000047480073,0.00019043121,0.00022323086,0.000088781984],"domain_scores_gemma":[0.9976878,0.0013353063,0.00031025536,0.00017463519,0.00029564285,0.00019625813],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014936073,0.0012681772,0.0010555238,0.004117159,0.0019368374,0.0033709705,0.001552705,0.0022161282,0.0058905156],"category_scores_gemma":[0.004593223,0.00068362907,0.0012349291,0.0025648812,0.0045051603,0.0071823746,0.0020835586,0.0041681677,0.0006520007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010918368,0.0000062403337,0.00010496914,0.00002313238,0.00000834323,0.00003996067,0.00013690648,0.000767696,0.00021272243,0.9961358,0.00046197348,0.002091193],"study_design_scores_gemma":[0.000010648413,0.000012388345,0.00013249707,0.000008537933,0.0000055992004,0.000038332186,0.000058563033,0.0024688535,0.00009095488,0.99502313,0.0021437767,0.000006771668],"about_ca_topic_score_codex":0.0018067335,"about_ca_topic_score_gemma":0.0012854995,"teacher_disagreement_score":0.0058905156,"about_ca_system_score_codex":0.0018007006,"about_ca_system_score_gemma":0.00048091458,"threshold_uncertainty_score":0.019705772},"labels":[],"label_agreement":null},{"id":"W2041534669","doi":"10.1016/j.aim.2012.08.001","title":"Resolution except for minimal singularities II. The case of four variables","year":2012,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Gravitational singularity; Morphism; Mathematics; Pure mathematics; Class (philosophy); Resolution of singularities; Characterization (materials science); Resolution (logic); Mathematical analysis; Physics; Computer science; Artificial intelligence; Optics","score_opus":0.05011820997087743,"score_gpt":0.3304787304828407,"score_spread":0.28036052051196325,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041534669","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3874198,0.013471685,0.14765479,0.012791379,0.0017093658,0.00017009137,0.0010248611,0.00052035105,0.43523762],"genre_scores_gemma":[0.9401884,0.0019258753,0.026196197,0.0009752184,0.00048700487,0.000058305504,0.0005151081,0.00011696224,0.02953696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991874,0.00018346659,0.000057330686,0.00016710543,0.00019661499,0.00020801587],"domain_scores_gemma":[0.99913377,0.00024514084,0.00016062938,0.00017036403,0.000121447534,0.0001685407],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011048843,0.00061908265,0.00092528213,0.0013218336,0.0017504102,0.0034030701,0.001359551,0.0013009964,0.008926473],"category_scores_gemma":[0.002714082,0.00038060028,0.0012233916,0.00078853336,0.0035581125,0.0053896545,0.003391103,0.0035500505,0.0015001685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067925124,0.000021332007,0.00036323964,0.00011141234,0.000020669953,0.00046392778,0.0002559483,0.0007637388,0.001352718,0.9881627,0.0025034032,0.005913032],"study_design_scores_gemma":[0.000028305176,0.000011639242,0.00032668086,0.00004715184,0.000013635908,0.00042095932,0.00019419524,0.0017200293,0.0008855822,0.9909354,0.005402697,0.000013573112],"about_ca_topic_score_codex":0.0010755673,"about_ca_topic_score_gemma":0.0006826955,"teacher_disagreement_score":0.008926473,"about_ca_system_score_codex":0.00080817135,"about_ca_system_score_gemma":0.0007703067,"threshold_uncertainty_score":0.029862046},"labels":[],"label_agreement":null},{"id":"W2041633984","doi":"10.1016/j.aim.2009.06.009","title":"Liberation of orthogonal Lie groups","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":188,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Bijection; Classical group; Pure mathematics; Lie group; Representation theory; Group (periodic table); Quantum; Orthogonal group; Algebra over a field; Combinatorics; Quantum mechanics","score_opus":0.030636641198586168,"score_gpt":0.37429103193268737,"score_spread":0.3436543907341012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041633984","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20032072,0.0011825069,0.41660863,0.0051084906,0.002247977,0.00013243138,0.00029875597,0.0006091699,0.3734913],"genre_scores_gemma":[0.7779951,0.0010858915,0.083461754,0.0020335522,0.0011852202,0.0001261419,0.0003621014,0.0008817717,0.13286848],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992632,0.00018528834,0.00003542933,0.00011845511,0.0002473936,0.00015017706],"domain_scores_gemma":[0.9991055,0.00016413249,0.000081548336,0.00023504191,0.00018902816,0.00022466497],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001220268,0.0007621835,0.0007883447,0.0013378673,0.0015896116,0.0018720983,0.0010104986,0.0009169417,0.0135277705],"category_scores_gemma":[0.002840294,0.00037336862,0.00093323825,0.00045493172,0.0035785306,0.004234387,0.004340768,0.0030081717,0.0018666488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013946141,0.000008622075,0.000023747449,0.0000082124725,0.0000027608235,0.000016126249,0.00009694158,0.00018023506,0.00046023956,0.9956623,0.0007573734,0.002769463],"study_design_scores_gemma":[0.0000074978248,0.000011403505,0.00003024094,0.00000448466,0.0000017568578,0.00003113354,0.000035270743,0.0010162886,0.0003300895,0.994966,0.0035618066,0.0000041114713],"about_ca_topic_score_codex":0.0004439623,"about_ca_topic_score_gemma":0.0005952754,"teacher_disagreement_score":0.0135277705,"about_ca_system_score_codex":0.0007884789,"about_ca_system_score_gemma":0.00062791957,"threshold_uncertainty_score":0.045254946},"labels":[],"label_agreement":null},{"id":"W2041740772","doi":"10.1016/j.aim.2014.03.005","title":"Strong fusion control and stable equivalences","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Morita equivalence; Discrete valuation ring; Abelian group; Pure mathematics; Combinatorics; Block (permutation group theory); Discrete mathematics","score_opus":0.03795131821813373,"score_gpt":0.3540907066669655,"score_spread":0.31613938844883177,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041740772","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25833505,0.0047574644,0.5125602,0.010401152,0.0011794977,0.00008832626,0.0004294053,0.0004334363,0.2118154],"genre_scores_gemma":[0.96267575,0.00096675166,0.016557472,0.0006750753,0.0006117168,0.0000909779,0.00026204722,0.00008609475,0.018074077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978776,0.0005268732,0.00011587354,0.0006080257,0.0005443559,0.00032729938],"domain_scores_gemma":[0.9956098,0.0020594,0.00041925965,0.0005869911,0.00083930936,0.0004851351],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029555443,0.0007860142,0.0011542503,0.0025174026,0.0035881535,0.0037529904,0.0012452869,0.001793815,0.007492926],"category_scores_gemma":[0.0066389926,0.00051711523,0.0015011844,0.0016007624,0.010481013,0.011515876,0.0046361545,0.0044563985,0.0004389652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010737987,0.0000058833984,0.00003302597,0.000006136307,0.0000041937947,0.000010417674,0.00006587061,0.00015885776,0.00008574246,0.9985268,0.00017198059,0.0009204084],"study_design_scores_gemma":[0.00000812988,0.000004990717,0.00003700383,0.0000024136616,0.0000029457196,0.0000084442945,0.000026639544,0.0006724268,0.000103676735,0.99847025,0.0006599711,0.0000029696248],"about_ca_topic_score_codex":0.0019905432,"about_ca_topic_score_gemma":0.0014224898,"teacher_disagreement_score":0.007492926,"about_ca_system_score_codex":0.002590611,"about_ca_system_score_gemma":0.000940506,"threshold_uncertainty_score":0.025066376},"labels":[],"label_agreement":null},{"id":"W2041867826","doi":"10.1016/j.aim.2010.11.007","title":"The first Steklov eigenvalue, conformal geometry, and minimal surfaces","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":236,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Conformal map; Minimal surface; Mathematical analysis; Boundary (topology); Ball (mathematics); Second fundamental form; Submanifold; Isoperimetric inequality; Unit sphere; Conformal geometry; Eigenfunction; Geometry; Eigenvalues and eigenvectors; Mean curvature; Curvature; Conformal symmetry; Physics","score_opus":0.013541718746871411,"score_gpt":0.28671819632074486,"score_spread":0.2731764775738734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041867826","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7305045,0.0035194482,0.08109045,0.00882736,0.00069791224,0.000040779538,0.00024572999,0.00031286682,0.17476104],"genre_scores_gemma":[0.9751458,0.00075383496,0.0042889784,0.0002826342,0.00056736096,0.000022363569,0.00009927849,0.000072333,0.018767264],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996928,0.00006772959,0.000012974006,0.00005567073,0.00010534598,0.00006549932],"domain_scores_gemma":[0.99941075,0.00018421617,0.00008347378,0.000056299898,0.00010578089,0.00015940407],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005620053,0.00059668615,0.00072262774,0.0019774993,0.0015444955,0.0022478888,0.00072315126,0.0012222257,0.0048850253],"category_scores_gemma":[0.0023596338,0.000296013,0.00045680595,0.0006231382,0.0026421414,0.0028413096,0.0016780149,0.0017600985,0.00060940516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015276,0.0000110787005,0.00015200513,0.000015130114,0.000002713306,0.00003247735,0.00009112938,0.00060674123,0.0007496786,0.99484646,0.0009529748,0.0025243603],"study_design_scores_gemma":[0.0000038657304,0.000005869209,0.0001765784,0.0000052643973,0.0000013599218,0.000046377554,0.000043764776,0.0017608484,0.0001784676,0.99689496,0.0008775803,0.000005148287],"about_ca_topic_score_codex":0.0012388628,"about_ca_topic_score_gemma":0.0009846471,"teacher_disagreement_score":0.0048850253,"about_ca_system_score_codex":0.0013809155,"about_ca_system_score_gemma":0.00067038054,"threshold_uncertainty_score":0.016341984},"labels":[],"label_agreement":null},{"id":"W2042425566","doi":"10.1016/j.aim.2004.10.002","title":"Witten's formulas for intersection pairings on moduli spaces of flat G-bundles","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Moduli space; Mathematics; Orbifold; Intersection (aeronautics); Pure mathematics; Gravitational singularity; Moduli of algebraic curves; Intersection theory; Moduli; Simple (philosophy); Modular equation; Space (punctuation); Complete intersection; Surface (topology); Mathematical analysis; Geometry","score_opus":0.02428291283227944,"score_gpt":0.32319131374719273,"score_spread":0.2989084009149133,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042425566","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5663392,0.004254015,0.2404853,0.0033070643,0.0011053239,0.00018319907,0.0007967939,0.0008315536,0.18269758],"genre_scores_gemma":[0.9456991,0.002071333,0.026403058,0.0004964791,0.0006724998,0.00017828167,0.00053136045,0.00022131215,0.023726605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870217,0.00028193078,0.00012408095,0.00021934984,0.00036899804,0.00030347108],"domain_scores_gemma":[0.99833196,0.00068186584,0.00018751543,0.0001855793,0.0002730387,0.0003400904],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031193395,0.0021216292,0.0021868048,0.008807054,0.0038333992,0.0076002385,0.0028462517,0.0026308845,0.011097517],"category_scores_gemma":[0.005814097,0.0013452773,0.0017866334,0.005637948,0.0051107924,0.019818729,0.005031382,0.0065973583,0.001390076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028327497,0.000031073272,0.00029899762,0.00004154456,0.000013136626,0.000118982505,0.0006325079,0.00027397115,0.00032535283,0.9923914,0.00068317825,0.0051615573],"study_design_scores_gemma":[0.00001096506,0.000012580343,0.0002667614,0.000020226464,0.000014129722,0.000106620806,0.00020743645,0.0018859595,0.0003395054,0.9959254,0.001194545,0.00001584358],"about_ca_topic_score_codex":0.0011736903,"about_ca_topic_score_gemma":0.0016521559,"teacher_disagreement_score":0.011097517,"about_ca_system_score_codex":0.0024440656,"about_ca_system_score_gemma":0.00072119985,"threshold_uncertainty_score":0.03712493},"labels":[],"label_agreement":null},{"id":"W2043810347","doi":"10.1016/j.aim.2013.02.018","title":"Amenability and uniqueness","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Von Neumann algebra; Von Neumann architecture; Injective function; Uniqueness; Abelian von Neumann algebra; Pure mathematics; Characterization (materials science); Affiliated operator; Uniqueness theorem for Poisson's equation; Von Neumann's theorem; Algebra over a field; Mathematical analysis; Jordan algebra; Algebra representation; Banach space","score_opus":0.029215351500977732,"score_gpt":0.3708891997538569,"score_spread":0.34167384825287916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2043810347","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13973616,0.0112644555,0.35031843,0.014895803,0.0025508963,0.000082023835,0.0004910273,0.00040914607,0.48025212],"genre_scores_gemma":[0.873676,0.0040476625,0.026899718,0.0014821162,0.0025160976,0.00013017992,0.00034052978,0.00024875134,0.09065898],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938345,0.00015812487,0.00003760425,0.00019982718,0.00014464912,0.00007627425],"domain_scores_gemma":[0.9988882,0.0004605642,0.00008756203,0.00021146379,0.00020505842,0.00014722186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010114431,0.0005678215,0.0011983064,0.002039572,0.002442045,0.002380222,0.00079678046,0.0011832071,0.012700746],"category_scores_gemma":[0.0030901092,0.00043206787,0.0012987357,0.0012336457,0.0061577996,0.008058198,0.0045979144,0.004372922,0.0011497167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004679016,0.0000034549862,0.000041229352,0.000011042394,0.0000044748854,0.000015696036,0.00007220322,0.00006444262,0.0001126336,0.9975988,0.00039829957,0.0016730932],"study_design_scores_gemma":[0.0000021240328,0.0000022616553,0.000053469856,0.0000034482737,0.0000025565469,0.000038828395,0.00004076339,0.00018840138,0.00005571493,0.996815,0.002795059,0.0000023669868],"about_ca_topic_score_codex":0.0007350735,"about_ca_topic_score_gemma":0.0005367312,"teacher_disagreement_score":0.012700746,"about_ca_system_score_codex":0.0008398583,"about_ca_system_score_gemma":0.00061246526,"threshold_uncertainty_score":0.042488217},"labels":[],"label_agreement":null},{"id":"W2044436455","doi":"10.1016/j.aim.2013.11.003","title":"Lower bounds on the modified K-energy and complex deformations","year":2013,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Convexity; Bounded function; Metric (unit); Kähler manifold; Mathematics; Manifold (fluid mechanics); Field (mathematics); Space (punctuation); Symmetry (geometry); Combinatorics; Metric space; Mathematical analysis; Mathematical physics; Pure mathematics; Physics; Geometry; Computer science","score_opus":0.07282052679935018,"score_gpt":0.3165152470915718,"score_spread":0.2436947202922216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044436455","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17729786,0.029743157,0.36195448,0.031372197,0.0030314843,0.00009084904,0.0017339673,0.0010382063,0.3937377],"genre_scores_gemma":[0.8661823,0.010557724,0.037029527,0.0038574089,0.0044837752,0.0002377393,0.001353737,0.0013476596,0.07495011],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99808866,0.00049321237,0.0000906279,0.00037104991,0.0006574217,0.00029902544],"domain_scores_gemma":[0.9907115,0.005552518,0.00068549317,0.0013216629,0.00082094443,0.0009079005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036627376,0.0025264986,0.0020867118,0.0063406248,0.0021620526,0.0048800767,0.0045667314,0.0036112713,0.018485649],"category_scores_gemma":[0.016103351,0.00083359086,0.001542736,0.0033872859,0.0059026973,0.01416428,0.006397726,0.007973728,0.0028014837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057579186,0.000027233156,0.00037642088,0.00013071802,0.000023361827,0.000069459114,0.00010366458,0.002217696,0.0005943752,0.98692244,0.003427341,0.0060498537],"study_design_scores_gemma":[0.0000053968556,0.000009957027,0.0003916246,0.000044284,0.000016400136,0.000074552394,0.000034362965,0.011956886,0.0002794506,0.9838198,0.0033490465,0.00001816114],"about_ca_topic_score_codex":0.0010240503,"about_ca_topic_score_gemma":0.0015061643,"teacher_disagreement_score":0.018485649,"about_ca_system_score_codex":0.0032591252,"about_ca_system_score_gemma":0.0009024552,"threshold_uncertainty_score":0.061840594},"labels":[],"label_agreement":null},{"id":"W2044799257","doi":"10.1016/j.aim.2009.03.005","title":"The quermassintegral inequalities for k-convex starshaped domains","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":199,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Isoperimetric inequality; Regular polygon; Principal curvature; Pure mathematics; Curvature; Differential geometry; Flow (mathematics); Mathematical analysis; Geometry; Mean curvature","score_opus":0.03232911178013159,"score_gpt":0.34549703804946247,"score_spread":0.3131679262693309,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044799257","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26570117,0.009489916,0.53847426,0.01291897,0.0008864119,0.000118814554,0.0012591623,0.00018511612,0.17096621],"genre_scores_gemma":[0.8936645,0.0058765598,0.055030387,0.0013706244,0.0012287996,0.00016467174,0.00086315314,0.00018544192,0.04161593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989612,0.00029943246,0.00006003677,0.0002110678,0.0002809503,0.00018734325],"domain_scores_gemma":[0.9941256,0.0035524894,0.00048181013,0.00026589792,0.0008149569,0.00075909763],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028096524,0.0013048614,0.0013934823,0.0031423313,0.001853901,0.004116365,0.002265832,0.0015144928,0.008489721],"category_scores_gemma":[0.010561111,0.0006399574,0.0015276035,0.0018724548,0.0044372585,0.00940069,0.0046323207,0.00722918,0.00072917313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051389292,0.000011679273,0.00034727342,0.000058199996,0.000012932154,0.00006485024,0.000112115835,0.0025722915,0.0006334678,0.99079376,0.0012269804,0.0041149836],"study_design_scores_gemma":[0.000012918206,0.000023361397,0.00069563003,0.000036705493,0.000017743456,0.0001120369,0.00011241416,0.039616913,0.0004045137,0.9549162,0.0040289597,0.000022729118],"about_ca_topic_score_codex":0.0024953387,"about_ca_topic_score_gemma":0.0022884912,"teacher_disagreement_score":0.008489721,"about_ca_system_score_codex":0.0031632474,"about_ca_system_score_gemma":0.0010700428,"threshold_uncertainty_score":0.028400958},"labels":[],"label_agreement":null},{"id":"W2047917450","doi":"10.1016/j.aim.2014.10.009","title":"Polynomial-time perfect matchings in dense hypergraphs","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"European Research Council; Engineering and Physical Sciences Research Council","keywords":"Mathematics; Combinatorics; Hypergraph; Matching (statistics); Time complexity; Discrete mathematics; Perfect power; Graph; Lattice (music)","score_opus":0.008178733419701174,"score_gpt":0.27233595694427837,"score_spread":0.2641572235245772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047917450","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5330367,0.002132227,0.39592507,0.0066777673,0.00032069944,0.00034055425,0.0029279923,0.0026038687,0.056035075],"genre_scores_gemma":[0.91963065,0.0014358693,0.056721453,0.0007628481,0.00036354785,0.00021644721,0.0017514469,0.00049520127,0.01862253],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969374,0.0007849187,0.00019170815,0.00082972995,0.0006514177,0.00060484686],"domain_scores_gemma":[0.9815793,0.012901495,0.0016211479,0.0017646265,0.0007456398,0.0013879213],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027098763,0.0011266876,0.0024779637,0.0019645502,0.0027379002,0.0065740864,0.003579384,0.0022519373,0.012824956],"category_scores_gemma":[0.0209948,0.0020703892,0.0015199026,0.0044507394,0.003452777,0.020486606,0.004453751,0.0050997455,0.0018362532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005221619,0.0002129423,0.0011513551,0.0004181827,0.00008089997,0.00022186441,0.00094793725,0.020658134,0.002808368,0.93777275,0.008191553,0.027013812],"study_design_scores_gemma":[0.00007078302,0.000018894661,0.00014801562,0.000021838674,0.000031271302,0.00007287546,0.000109634864,0.021230813,0.0008213872,0.975872,0.0015890801,0.000013585687],"about_ca_topic_score_codex":0.0032622945,"about_ca_topic_score_gemma":0.004687993,"teacher_disagreement_score":0.012824956,"about_ca_system_score_codex":0.004360674,"about_ca_system_score_gemma":0.0024132838,"threshold_uncertainty_score":0.04290372},"labels":[],"label_agreement":null},{"id":"W2048588842","doi":"10.1016/j.aim.2004.10.003","title":"Computation of generalized equivariant cohomologies of Kac–Moody flag varieties","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":100,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Equivariant map; Equivariant cohomology; Pure mathematics; Maximal torus; Cohomology; Subring; Torus; Flag (linear algebra); Homomorphism; Complex torus; Ring (chemistry); Algebra over a field; Discrete mathematics; Geometry; Lie algebra","score_opus":0.036889886170629486,"score_gpt":0.35187831406150893,"score_spread":0.31498842789087944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048588842","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9482447,0.0002566538,0.029014442,0.00033936184,0.00011325819,0.000045098408,0.00020066106,0.00018825012,0.021597594],"genre_scores_gemma":[0.9862769,0.00013969402,0.0073250956,0.000064015156,0.00009664148,0.000021872229,0.0002728105,0.00006657317,0.0057363454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963796,0.00006497897,0.000018962222,0.00006547324,0.00010494212,0.000107697364],"domain_scores_gemma":[0.9993942,0.00015447786,0.000073195086,0.00007288095,0.000097174634,0.00020810773],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006488205,0.0008266994,0.0010607116,0.00311416,0.0019523267,0.0030310652,0.0017409655,0.00080064835,0.008421606],"category_scores_gemma":[0.0018295288,0.00040436178,0.0009289782,0.0015768694,0.0027187427,0.003646957,0.0026827673,0.0019482761,0.0006306604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016606358,0.00007504985,0.0025944456,0.000117326716,0.000031849162,0.00037668567,0.00077504816,0.0036818897,0.00316391,0.97326106,0.0012714881,0.0144850975],"study_design_scores_gemma":[0.000044347074,0.00006330351,0.0028245414,0.000037483635,0.000038301125,0.00026911986,0.0005421064,0.014324862,0.001988315,0.9769845,0.002838187,0.000044790257],"about_ca_topic_score_codex":0.00082953554,"about_ca_topic_score_gemma":0.001356416,"teacher_disagreement_score":0.008421606,"about_ca_system_score_codex":0.0013495865,"about_ca_system_score_gemma":0.0006488205,"threshold_uncertainty_score":0.02817303},"labels":[],"label_agreement":null},{"id":"W2051986117","doi":"10.1016/j.aim.2012.08.008","title":"Hyperconvexity and tight-span theory for diversities","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Span (engineering); Metric (unit); Metric space; Injective function; Space (punctuation); Envelope (radar); Mathematics; Computer science; Pure mathematics; Engineering; Structural engineering; Telecommunications","score_opus":0.03877716219347754,"score_gpt":0.3425163520548772,"score_spread":0.30373918986139964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051986117","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28845894,0.003915838,0.59710544,0.0049994895,0.00029988098,0.00006912435,0.0007559821,0.0002426885,0.1041526],"genre_scores_gemma":[0.91941035,0.0028033957,0.03561971,0.00086439896,0.00090563187,0.000164859,0.00082162896,0.0002234202,0.039186634],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999071,0.00026596925,0.000055806682,0.0002106305,0.00025782856,0.00013861561],"domain_scores_gemma":[0.9963319,0.0016421407,0.0004908739,0.00028993178,0.00048491015,0.00076026807],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018588708,0.0012304385,0.001419979,0.004148723,0.0025773922,0.0031438817,0.0012830158,0.0013858131,0.010047843],"category_scores_gemma":[0.0067463727,0.000711668,0.0013289866,0.0030791366,0.0052310843,0.010721255,0.005415962,0.004739861,0.00059285766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008778325,0.00000653988,0.0001816527,0.000020559708,0.000007775386,0.00003311566,0.000103942475,0.001642492,0.00014820335,0.9954574,0.00038607768,0.0020033675],"study_design_scores_gemma":[0.0000031767618,0.000007507503,0.00013921937,0.000008488541,0.000005132598,0.000030790536,0.000056118486,0.0060241846,0.000054711545,0.9925177,0.0011477676,0.0000052559076],"about_ca_topic_score_codex":0.0016139477,"about_ca_topic_score_gemma":0.00140674,"teacher_disagreement_score":0.010047843,"about_ca_system_score_codex":0.0019425137,"about_ca_system_score_gemma":0.000557237,"threshold_uncertainty_score":0.033613443},"labels":[],"label_agreement":null},{"id":"W2052325621","doi":"10.1016/j.aim.2005.04.011","title":"On the Turán number for the hexagon","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Combinatorics; Conjecture; Counterexample; Upper and lower bounds; Bipartite graph; Graph; Vertex (graph theory); Quadrilateral; Discrete mathematics","score_opus":0.02735860851489594,"score_gpt":0.33866687607038337,"score_spread":0.3113082675554874,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2052325621","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28181845,0.008124995,0.16788535,0.012140725,0.0034540829,0.00008038508,0.00055275334,0.00051857636,0.5254246],"genre_scores_gemma":[0.9141915,0.003506327,0.030248167,0.0020971377,0.0020086046,0.0001617706,0.00041854908,0.00031524457,0.04705283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992755,0.00028583597,0.00003082595,0.00011913451,0.00017120964,0.00011753428],"domain_scores_gemma":[0.997929,0.0011457606,0.00019084685,0.00014882346,0.00025952226,0.0003260395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001273315,0.0008759738,0.0012352519,0.0031200186,0.0026561199,0.0037928051,0.0017120945,0.0017894479,0.01091152],"category_scores_gemma":[0.006030312,0.0004893025,0.0007426522,0.0018515193,0.0048600044,0.0070066745,0.0025586162,0.004509397,0.0019825187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022343966,0.000006285148,0.0000754927,0.000023931327,0.0000024145502,0.000015721796,0.00006563437,0.0010730249,0.00009199731,0.9928906,0.0021192988,0.0036133023],"study_design_scores_gemma":[0.0000034685984,0.000005482546,0.00007246979,0.00001355541,0.0000020506911,0.000021671216,0.000028889788,0.002680899,0.00005053271,0.9945943,0.00252006,0.0000066741636],"about_ca_topic_score_codex":0.0020027042,"about_ca_topic_score_gemma":0.0015044207,"teacher_disagreement_score":0.01091152,"about_ca_system_score_codex":0.0019422374,"about_ca_system_score_gemma":0.000874107,"threshold_uncertainty_score":0.03650266},"labels":[],"label_agreement":null},{"id":"W2055191769","doi":"10.1016/j.aim.2010.05.017","title":"Corrigendum to “Homology of perfect complexes” [Adv. Math. 223 (5) (2010) 1731–1781]","year":2010,"lang":"en","type":"erratum","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Homology (biology); Biology; Genetics","score_opus":0.03443869529274737,"score_gpt":0.33017071939340803,"score_spread":0.2957320241006607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055191769","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00048388258,0.019909889,0.003713813,0.08780605,0.8120278,0.00008344121,0.0024185146,0.000822489,0.07273404],"genre_scores_gemma":[0.019358939,0.033824958,0.0065835845,0.06355833,0.20883645,0.00033234037,0.00401499,0.001643603,0.66184676],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99730504,0.0005111898,0.00026037387,0.00047912466,0.0012317438,0.00021249575],"domain_scores_gemma":[0.9941445,0.0014348591,0.00031961684,0.0005594774,0.0032231063,0.0003184279],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001690442,0.0027071391,0.0027388963,0.005873986,0.003043247,0.00392824,0.0036210008,0.0039316746,0.1106225],"category_scores_gemma":[0.0139229465,0.0009826027,0.0020463772,0.0037143782,0.0023408162,0.0052399924,0.00240424,0.0049195033,0.05255913],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002937533,0.0000094434645,0.00004904349,0.00024551488,0.000020271229,0.000082085484,0.000024731602,0.00007637431,0.000061425504,0.007802209,0.9843396,0.007259836],"study_design_scores_gemma":[0.00003796025,0.000032966913,0.0012770952,0.00037086953,0.000059245616,0.0003427721,0.00006782278,0.00055674586,0.00037759592,0.02875709,0.9680669,0.000053046286],"about_ca_topic_score_codex":0.014679565,"about_ca_topic_score_gemma":0.019949876,"teacher_disagreement_score":0.1106225,"about_ca_system_score_codex":0.0053339964,"about_ca_system_score_gemma":0.0022402275,"threshold_uncertainty_score":0.3700691},"labels":[],"label_agreement":null},{"id":"W2055447830","doi":"10.1016/j.aim.2009.12.013","title":"Jeu de taquin and a monodromy problem for Wronskians of polynomials","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Monodromy; Algebra over a field; Pure mathematics","score_opus":0.00802945432159119,"score_gpt":0.266570661003118,"score_spread":0.2585412066815268,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055447830","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74477077,0.001689461,0.11059608,0.009047946,0.0014022388,0.00011220258,0.00028336878,0.00029702316,0.13180092],"genre_scores_gemma":[0.9381478,0.00051798584,0.015923372,0.0005590554,0.0005175869,0.0000667263,0.0001820538,0.00018074579,0.043904748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990476,0.00025844533,0.000046967205,0.00015992939,0.00020961041,0.00027750497],"domain_scores_gemma":[0.9982169,0.0007828875,0.00017289947,0.00024414004,0.00024436135,0.00033869056],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018283199,0.00096417184,0.0015599821,0.0023315307,0.004196589,0.0036421053,0.0019312294,0.002703064,0.011301216],"category_scores_gemma":[0.0076907873,0.00073150825,0.0013716298,0.0016355031,0.005341102,0.0077951415,0.0033753563,0.0042232014,0.0011521445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052981497,0.00002037022,0.00015733464,0.000017977,0.0000054104135,0.00007198546,0.00028794346,0.00053627224,0.00033639406,0.99483395,0.0009942907,0.0026849536],"study_design_scores_gemma":[0.000019982072,0.000011859135,0.00010791065,0.000008008352,0.000004031867,0.000048146583,0.00015747981,0.003265204,0.00021268018,0.99431795,0.0018335131,0.000013318041],"about_ca_topic_score_codex":0.00506715,"about_ca_topic_score_gemma":0.0039672996,"teacher_disagreement_score":0.011301216,"about_ca_system_score_codex":0.002359501,"about_ca_system_score_gemma":0.0013776388,"threshold_uncertainty_score":0.037806332},"labels":[],"label_agreement":null},{"id":"W2058303538","doi":"10.1016/j.aim.2012.03.030","title":"Motivic Donaldson–Thomas invariants of the conifold and the refined topological vertex","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council; Isaac Newton Institute for Mathematical Sciences","keywords":"Conifold; Mathematics; Quiver; Vertex (graph theory); Pure mathematics; Formalism (music); Combinatorics; Mathematical physics; Gauge theory","score_opus":0.02353305689254082,"score_gpt":0.2943849228897368,"score_spread":0.27085186599719596,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058303538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.779081,0.0011002566,0.039875988,0.0022419218,0.00044523372,0.00005952623,0.0003470567,0.000311237,0.17653784],"genre_scores_gemma":[0.9783207,0.0003636989,0.004126946,0.00018002324,0.0003515831,0.00002554946,0.00020442091,0.00008990443,0.016337197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996878,0.000065446664,0.000015329448,0.000055853223,0.00009424204,0.00008130922],"domain_scores_gemma":[0.99951565,0.000091104084,0.00010845572,0.00006923969,0.000076018965,0.00013952471],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066122337,0.0008241075,0.0009684589,0.0038688323,0.0016798979,0.002921988,0.00089209905,0.000994919,0.0074230838],"category_scores_gemma":[0.0013495474,0.00032926726,0.0005949597,0.0013179044,0.0032372493,0.0036865373,0.0017464368,0.0018836501,0.0006288913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020426947,0.000009042162,0.00013484267,0.000008384737,0.0000031704487,0.000056027697,0.00008081379,0.00047561928,0.0005323052,0.9968112,0.000321742,0.0015464352],"study_design_scores_gemma":[0.000017034017,0.000015292395,0.00048492165,0.0000083826735,0.0000069332896,0.00013458547,0.00012411158,0.0040451456,0.00040221974,0.99266183,0.0020854482,0.000014158012],"about_ca_topic_score_codex":0.0020490102,"about_ca_topic_score_gemma":0.0015849257,"teacher_disagreement_score":0.0074230838,"about_ca_system_score_codex":0.0015432113,"about_ca_system_score_gemma":0.00064367946,"threshold_uncertainty_score":0.024832666},"labels":[],"label_agreement":null},{"id":"W2059741426","doi":"10.1016/j.aim.2012.07.022","title":"On fibrations with formal elliptic fibers","year":2012,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Fibration; Pure mathematics; Mathematics; Base (topology); Formal description; Space (punctuation); Type (biology); Quaternion; Mathematical analysis; Geometry; Computer science; Homotopy","score_opus":0.017741451920586373,"score_gpt":0.3179855230930662,"score_spread":0.30024407117247986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059741426","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53579885,0.005621826,0.22197923,0.009489768,0.0022169761,0.00011721897,0.00058581436,0.0005020944,0.22368817],"genre_scores_gemma":[0.9124345,0.002850236,0.028516427,0.0007044106,0.0017066175,0.00006263151,0.00033282363,0.000249098,0.05314325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988727,0.00031386124,0.00006893479,0.00024807637,0.00030101353,0.00019536208],"domain_scores_gemma":[0.99833137,0.00046718118,0.0002573705,0.00016204437,0.0003110897,0.00047091156],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017401943,0.0023712048,0.0011486515,0.005573991,0.0030591658,0.003721551,0.0010354882,0.001798227,0.007821341],"category_scores_gemma":[0.0030882617,0.0009286888,0.0012170433,0.002036488,0.005665641,0.010648597,0.0053594005,0.003140148,0.0008820977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018219444,0.000016187998,0.00018840749,0.000023374381,0.000006865328,0.00011183958,0.00028551012,0.00030760857,0.00043432834,0.9958468,0.00051006576,0.0022507904],"study_design_scores_gemma":[0.00001471882,0.000014880977,0.00024639434,0.000017548276,0.000008806661,0.00018953353,0.00012897751,0.0015127476,0.00025541402,0.9936376,0.0039624786,0.00001087517],"about_ca_topic_score_codex":0.0010363123,"about_ca_topic_score_gemma":0.0010462911,"teacher_disagreement_score":0.007821341,"about_ca_system_score_codex":0.0021877945,"about_ca_system_score_gemma":0.00050113106,"threshold_uncertainty_score":0.026165009},"labels":[],"label_agreement":null},{"id":"W2060670182","doi":"10.1016/j.aim.2012.03.013","title":"Ergodic properties of boundary actions and the Nielsen–Schreier theory","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Canada Research Chairs; Royal Swedish Academy of Sciences; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Mathematics; Ergodic theory; Boundary (topology); Ergodicity; Free group; Pure mathematics; Measure (data warehouse); Graph; Geodesic; Combinatorics; Discrete mathematics; Group (periodic table); Mathematical analysis","score_opus":0.03971354115354946,"score_gpt":0.30928675713116877,"score_spread":0.2695732159776193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060670182","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7014299,0.004153423,0.10371377,0.0028830387,0.00030966644,0.000057066693,0.00029717633,0.00030323127,0.18685274],"genre_scores_gemma":[0.9779855,0.0012452854,0.00559879,0.00016750395,0.00038278243,0.000035911497,0.00021189553,0.00008140152,0.014291013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999445,0.00013033986,0.000030814837,0.00008804925,0.00020056828,0.00010524095],"domain_scores_gemma":[0.99854386,0.00056217576,0.0002568703,0.00013138245,0.0001925564,0.0003130919],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010362299,0.00082346925,0.0009659726,0.0029656643,0.0016591541,0.0027160961,0.00093784434,0.0011456606,0.0059583574],"category_scores_gemma":[0.0035347776,0.00036479102,0.00077614986,0.001065763,0.0037232682,0.004322586,0.0019953991,0.0017388006,0.0005570127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001538108,0.000010170191,0.00017815341,0.000016216682,0.000006162388,0.000046095014,0.000121968806,0.0008456945,0.0005464001,0.99595356,0.00024566674,0.0020145343],"study_design_scores_gemma":[0.000014831437,0.0000132474925,0.00045333887,0.000011120762,0.000007988807,0.00008077163,0.00006294401,0.00634829,0.0004117552,0.99131715,0.0012626736,0.000016018417],"about_ca_topic_score_codex":0.0023055188,"about_ca_topic_score_gemma":0.0019648522,"teacher_disagreement_score":0.0059583574,"about_ca_system_score_codex":0.001163797,"about_ca_system_score_gemma":0.00070709764,"threshold_uncertainty_score":0.019932687},"labels":[],"label_agreement":null},{"id":"W2061097380","doi":"10.1016/j.aim.2012.05.001","title":"Lattice polarized K3 surfaces and Siegel modular forms","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Isogeny; Moduli space; Siegel modular form; K3 surface; Pure mathematics; Lattice (music); Modular form; Algebraic number; Algebra over a field; Abelian group; Mathematical analysis; Physics","score_opus":0.02254815688179445,"score_gpt":0.3204619417626574,"score_spread":0.29791378488086295,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061097380","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6797576,0.0014225435,0.05339899,0.005677699,0.0009389742,0.0000688854,0.00038742548,0.00045576453,0.25789213],"genre_scores_gemma":[0.9511905,0.0007610019,0.00670799,0.0005754504,0.0006299807,0.000047827663,0.00025796721,0.00017560106,0.03965359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996013,0.00008190664,0.000014390967,0.00005796425,0.00014094834,0.00010346794],"domain_scores_gemma":[0.99960667,0.0000798086,0.000076274264,0.000046434932,0.00006292036,0.00012787843],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004903736,0.0012000507,0.00078609353,0.0026390636,0.0022808784,0.0038267276,0.0008969325,0.001242789,0.010602225],"category_scores_gemma":[0.0012462058,0.00056297006,0.00073423027,0.0015642584,0.0034962196,0.0046890895,0.0030119938,0.003209644,0.0015688571],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032141645,0.000014325392,0.00010407658,0.000013803819,0.00000431664,0.00006292519,0.00017265975,0.00021504726,0.00055696914,0.99577075,0.0008332004,0.0022197021],"study_design_scores_gemma":[0.000024228255,0.00001035338,0.00022634219,0.000009523339,0.000007558156,0.00015995163,0.00020747146,0.001064667,0.00045893237,0.9947872,0.003032392,0.000011365923],"about_ca_topic_score_codex":0.00077344273,"about_ca_topic_score_gemma":0.00069559197,"teacher_disagreement_score":0.010602225,"about_ca_system_score_codex":0.0011691449,"about_ca_system_score_gemma":0.00054920296,"threshold_uncertainty_score":0.035468042},"labels":[],"label_agreement":null},{"id":"W2061622328","doi":"10.1016/j.aim.2008.01.008","title":"Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Ministerstwo Edukacji i Nauki","keywords":"Mathematics; Combinatorics; Permutation (music); Symmetric group; Diagram; Constant (computer programming); Infinity; Young tableau; Character (mathematics); Limit (mathematics); Upper and lower bounds; Permutation group; Product (mathematics); Pure mathematics; Mathematical analysis; Geometry","score_opus":0.030774943106783883,"score_gpt":0.29245870769002813,"score_spread":0.26168376458324427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061622328","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.577129,0.005255613,0.2080816,0.0043125213,0.0007736962,0.00010538868,0.00052852323,0.00082056917,0.2029931],"genre_scores_gemma":[0.9561551,0.0015278672,0.0143285375,0.00042208744,0.00084358855,0.0001292485,0.00030008508,0.00023780717,0.026055658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991541,0.00019559854,0.000038455917,0.00014139354,0.00024981145,0.00022065472],"domain_scores_gemma":[0.9971841,0.0015476497,0.00021312834,0.0002964075,0.0002887553,0.00046988888],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014621852,0.0015100166,0.0017748828,0.0037799554,0.0016676022,0.0033408722,0.0019332083,0.0019232158,0.012864789],"category_scores_gemma":[0.00568574,0.0006247885,0.0010675915,0.0016919007,0.0030403547,0.006957625,0.003815496,0.0032752843,0.0021272728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092844435,0.000030224815,0.00045218546,0.00009126321,0.000017644075,0.0001399686,0.00024956863,0.0016627574,0.0024027426,0.9853999,0.00134604,0.008114823],"study_design_scores_gemma":[0.000018305393,0.000027947493,0.00046900898,0.00004512646,0.000029067947,0.0001661224,0.000052243075,0.013060678,0.001800383,0.98124653,0.0030560428,0.00002860305],"about_ca_topic_score_codex":0.000435686,"about_ca_topic_score_gemma":0.00062789617,"teacher_disagreement_score":0.012864789,"about_ca_system_score_codex":0.0015560618,"about_ca_system_score_gemma":0.0006065787,"threshold_uncertainty_score":0.043037057},"labels":[],"label_agreement":null},{"id":"W2061817817","doi":"10.1016/j.aim.2012.10.006","title":"Corrigendum to “Polytopes of high rank for the symmetric groups” [Adv. Math. 228 (2011) 3207–3222]","year":2012,"lang":"en","type":"erratum","venue":"Advances in Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Polytope; Rank (graph theory); Pure mathematics; Combinatorics","score_opus":0.03295857409913792,"score_gpt":0.314688810456261,"score_spread":0.2817302363571231,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061817817","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0004412633,0.008681917,0.003987482,0.083752364,0.8663821,0.000111688285,0.0019342566,0.0009190965,0.033789787],"genre_scores_gemma":[0.022438634,0.02335783,0.009051203,0.076750055,0.32281798,0.00049400993,0.0053211357,0.0021655082,0.5376036],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99628866,0.0006857994,0.0003607595,0.0007941525,0.0015095755,0.000361087],"domain_scores_gemma":[0.99312264,0.0016465323,0.00033594336,0.0006384138,0.003681883,0.0005745343],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025165107,0.0029761926,0.0037303127,0.0048365607,0.0036015662,0.003299699,0.0047185975,0.004118076,0.14569448],"category_scores_gemma":[0.015295707,0.0013658128,0.0031715957,0.0029183617,0.0028079252,0.005302041,0.002766071,0.0057954225,0.057160776],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039247396,0.000013397031,0.00004229183,0.00021018789,0.00002661905,0.00009293992,0.000019940777,0.000090283684,0.00009242162,0.003984535,0.99026746,0.0051207105],"study_design_scores_gemma":[0.00007447971,0.00007873493,0.001683235,0.00024145168,0.00008597509,0.00045869692,0.0000700176,0.0009370557,0.00074759097,0.027728237,0.96778417,0.0001102733],"about_ca_topic_score_codex":0.011136812,"about_ca_topic_score_gemma":0.015166946,"teacher_disagreement_score":0.14569448,"about_ca_system_score_codex":0.005955948,"about_ca_system_score_gemma":0.0024371638,"threshold_uncertainty_score":0.4873966},"labels":[],"label_agreement":null},{"id":"W2061886541","doi":"10.1016/j.aim.2012.06.022","title":"A measure-theoretic approach to the theory of dense hypergraphs","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Hypergraph; Lemma (botany); Measure (data warehouse); Lebesgue measure; Discrete mathematics; Mathematical proof; Ultraproduct; Pure mathematics; Lebesgue integration","score_opus":0.027882147458859908,"score_gpt":0.28753380617195373,"score_spread":0.2596516587130938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061886541","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.050360244,0.008374037,0.8385422,0.008820491,0.00051895087,0.000053027943,0.00041234866,0.00022796718,0.09269064],"genre_scores_gemma":[0.7972079,0.007492596,0.16061974,0.002145177,0.0032455937,0.00029256972,0.0005337774,0.0002151332,0.028247528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981635,0.0007257864,0.00010477055,0.000292913,0.0005702927,0.00014278243],"domain_scores_gemma":[0.995304,0.0028688035,0.00031341822,0.0004641325,0.0005944639,0.00045517163],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026912726,0.00085955276,0.0014280669,0.004772259,0.002541898,0.0052651437,0.0028938982,0.0018684942,0.0053194063],"category_scores_gemma":[0.0062504457,0.0008458453,0.0016483496,0.0041727005,0.00907631,0.014083489,0.0045204596,0.005192776,0.0005771041],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000001085071,0.0000024972642,0.000016698494,0.0000064788505,0.0000018956957,0.0000055416544,0.00003784333,0.00021428708,0.000040735165,0.9989274,0.00014876066,0.0005967641],"study_design_scores_gemma":[0.0000015875726,0.0000019446968,0.000018340546,0.0000041898193,0.0000013825943,0.000009748414,0.000015940393,0.0011513947,0.000020752634,0.9978695,0.0009033045,0.000002013081],"about_ca_topic_score_codex":0.0017173765,"about_ca_topic_score_gemma":0.0015331651,"teacher_disagreement_score":0.0053194063,"about_ca_system_score_codex":0.0035413424,"about_ca_system_score_gemma":0.0012795433,"threshold_uncertainty_score":0.02569431},"labels":[],"label_agreement":null},{"id":"W2061919191","doi":"10.1016/j.aim.2010.04.024","title":"Bivariant K-theory via correspondences","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Equivariant map; Mathematics; Duality (order theory); Isomorphism (crystallography); Pure mathematics; Multiplicative function; K-theory (physics); Action (physics); Cohomology; Topology (electrical circuits); Mathematical analysis; Combinatorics; Physics","score_opus":0.02185807688240694,"score_gpt":0.3706142045516862,"score_spread":0.34875612766927927,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061919191","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32765794,0.00200376,0.31653023,0.005948819,0.0019641102,0.000119039985,0.00068325124,0.0013055514,0.3437873],"genre_scores_gemma":[0.9263548,0.0009557403,0.021379488,0.0009038447,0.0009792942,0.0000705706,0.00031172414,0.00037372665,0.048670698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861836,0.00033294922,0.0000849656,0.00031331633,0.00043043258,0.00021990719],"domain_scores_gemma":[0.99915147,0.00018693236,0.00012082608,0.00012745395,0.00019317363,0.00022015619],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001111817,0.0012988533,0.0012767956,0.0033889846,0.002778974,0.0044814507,0.0015509172,0.0017428028,0.009638349],"category_scores_gemma":[0.0016379264,0.00079453393,0.0011561767,0.0022629448,0.004195684,0.009947561,0.0050723907,0.004388516,0.0021799775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001290488,0.0000116219535,0.000052864052,0.00001468434,0.0000064704855,0.00003405928,0.0001026702,0.00012994124,0.00036111436,0.9972011,0.00037094526,0.001701552],"study_design_scores_gemma":[0.000010564228,0.000010904595,0.00010604437,0.00000569668,0.00000712619,0.00008341803,0.00007180524,0.00070342,0.00023396485,0.9965294,0.0022279713,0.000009671019],"about_ca_topic_score_codex":0.00056148623,"about_ca_topic_score_gemma":0.00042805006,"teacher_disagreement_score":0.009638349,"about_ca_system_score_codex":0.0015098483,"about_ca_system_score_gemma":0.0006005258,"threshold_uncertainty_score":0.03224343},"labels":[],"label_agreement":null},{"id":"W2062549824","doi":"10.1006/aima.1999.1857","title":"A Combinatorial Formula for the Associated Legendre Functions of Integer Degree","year":2000,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Legendre polynomials; Legendre function; Degree (music); Integer (computer science); Associated Legendre polynomials; Combinatorics; Legendre transformation; Inverse; Function (biology); Pure mathematics; Mathematical analysis; Geometry; Orthogonal polynomials; Physics; Classical orthogonal polynomials","score_opus":0.01762922363745401,"score_gpt":0.2917452117579474,"score_spread":0.27411598812049337,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062549824","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2491503,0.0031657082,0.5084577,0.0043222154,0.0020578979,0.0001605825,0.0006661522,0.0005361535,0.23148322],"genre_scores_gemma":[0.8092508,0.0030926203,0.12591837,0.0014996117,0.001940526,0.00030125256,0.00077476044,0.00047788586,0.056744143],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995548,0.00010475532,0.000036412264,0.00007601571,0.0001531158,0.000074838914],"domain_scores_gemma":[0.99840206,0.0007833718,0.00019143162,0.00014255747,0.0002718546,0.00020882594],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011097366,0.0015546852,0.0008192241,0.004047351,0.0014422374,0.004341271,0.0021192408,0.0017721445,0.009068007],"category_scores_gemma":[0.0054979576,0.0006240122,0.0008094354,0.00294651,0.0025591115,0.0061012856,0.0019444053,0.0037797506,0.0021501675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018706614,0.000018179082,0.00013639385,0.000040462393,0.0000036522856,0.00007646063,0.000108509885,0.00052149483,0.0011370502,0.9886009,0.0016059856,0.0077321986],"study_design_scores_gemma":[0.000013566045,0.000020006262,0.00019443668,0.000029992143,0.000010298823,0.00035638793,0.00007986495,0.006955563,0.0007284409,0.9857108,0.0058672116,0.000033451885],"about_ca_topic_score_codex":0.0005189671,"about_ca_topic_score_gemma":0.00067661045,"teacher_disagreement_score":0.009068007,"about_ca_system_score_codex":0.0015063286,"about_ca_system_score_gemma":0.00056250155,"threshold_uncertainty_score":0.030335546},"labels":[],"label_agreement":null},{"id":"W2062655097","doi":"10.1016/j.aim.2011.10.014","title":"A Brylinski filtration for affine Kac–Moody algebras","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Filtration (mathematics); Affine transformation; Pure mathematics; Algebra over a field","score_opus":0.056163519220754264,"score_gpt":0.33434815279985763,"score_spread":0.2781846335791034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062655097","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5342746,0.004056638,0.21191132,0.004452538,0.0013750884,0.00015962086,0.00094202487,0.001158316,0.24166992],"genre_scores_gemma":[0.926993,0.0016174205,0.023088142,0.0010411716,0.0011319318,0.00015381203,0.0007680567,0.00020486269,0.045001686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932885,0.00013777918,0.000045649438,0.00012129854,0.00019111986,0.00017536021],"domain_scores_gemma":[0.9993086,0.000116562,0.00010359174,0.000070120084,0.00013741579,0.00026365454],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017295296,0.0014446554,0.0018779214,0.0038592955,0.0048596887,0.0048581064,0.0011906935,0.0016136481,0.0075761946],"category_scores_gemma":[0.0014229009,0.00090746663,0.0016425397,0.0025368507,0.0035362188,0.00634189,0.0026682622,0.004277451,0.0018700395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028735767,0.00002139711,0.00010395646,0.000022742119,0.0000071691716,0.000060128725,0.00022745773,0.00017626022,0.00069726637,0.99612033,0.0008921056,0.001642579],"study_design_scores_gemma":[0.000026732834,0.000027094577,0.0003201792,0.000013749956,0.000012850527,0.00012370819,0.000093360344,0.0011613703,0.00030239954,0.9944094,0.003486762,0.000022234275],"about_ca_topic_score_codex":0.0019941279,"about_ca_topic_score_gemma":0.0017124433,"teacher_disagreement_score":0.0075761946,"about_ca_system_score_codex":0.0020788398,"about_ca_system_score_gemma":0.0009563463,"threshold_uncertainty_score":0.025344908},"labels":[],"label_agreement":null},{"id":"W2063018524","doi":"10.1016/j.aim.2007.11.016","title":"The chromatic polynomial of fatgraphs and its categorification","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Comisión Nacional de Investigación Científica y Tecnológica","keywords":"Khovanov homology; Mathematics; Categorification; Chromatic polynomial; Tutte polynomial; Cellular homology; Combinatorics; Homology (biology); Bracket polynomial; Relative homology; Chromatic scale; Discrete mathematics; Graph; Pure mathematics; Polynomial; Line graph; Voltage graph; Matrix polynomial; Topology (electrical circuits); Alternating polynomial; Mathematical analysis","score_opus":0.0306721289149246,"score_gpt":0.302240577960152,"score_spread":0.2715684490452274,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063018524","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65153086,0.004946031,0.16912946,0.007296868,0.0006408558,0.0000809173,0.0009002617,0.0005316528,0.1649431],"genre_scores_gemma":[0.96679026,0.0014464151,0.0066272416,0.00031582324,0.0006212372,0.00004896361,0.00031368659,0.000115850286,0.023720438],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990877,0.00016290513,0.000033843702,0.0002496946,0.00025291299,0.00021290158],"domain_scores_gemma":[0.99762255,0.001232271,0.00029915615,0.0002736071,0.00028468334,0.0002877722],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012044349,0.0007669587,0.0011662124,0.004639753,0.0023667768,0.004723125,0.0020449618,0.0016449436,0.010039403],"category_scores_gemma":[0.004087854,0.00072372175,0.001111664,0.005087854,0.007932082,0.011833583,0.0035180186,0.0051254453,0.001074919],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016760663,0.000006160326,0.00018387313,0.000013720028,0.0000031408194,0.000018447266,0.00019646557,0.0005021659,0.00017890424,0.9965835,0.00042518615,0.0018716455],"study_design_scores_gemma":[0.000010175893,0.000007712223,0.00029767203,0.000008690748,0.000008913182,0.000053693217,0.000093436916,0.0019461766,0.00017242842,0.9952336,0.0021547358,0.000012690435],"about_ca_topic_score_codex":0.004632527,"about_ca_topic_score_gemma":0.0027120793,"teacher_disagreement_score":0.010039403,"about_ca_system_score_codex":0.0031396959,"about_ca_system_score_gemma":0.0010691513,"threshold_uncertainty_score":0.03358513},"labels":[],"label_agreement":null},{"id":"W2063924670","doi":"10.1016/j.aim.2005.03.011","title":"The local index formula in semifinite Von Neumann algebras I: Spectral flow","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":90,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Clay Mathematics Institute","keywords":"Mathematics; Von Neumann algebra; Abelian von Neumann algebra; Affiliated operator; Von Neumann architecture; Pure mathematics; Atiyah–Singer index theorem; Subalgebra; Von Neumann's theorem; Quotient; Operator algebra; Operator (biology); Flow (mathematics); Algebra over a field; Jordan algebra; Algebra representation; Hilbert space","score_opus":0.02067938309984147,"score_gpt":0.34142849926077157,"score_spread":0.3207491161609301,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063924670","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.450887,0.0035345594,0.34759733,0.0051928996,0.0010981795,0.000088940105,0.0003259008,0.0005202538,0.1907549],"genre_scores_gemma":[0.95799136,0.001000969,0.018432708,0.0006262103,0.0008634836,0.00007901863,0.0001591226,0.00014710806,0.020700026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994867,0.00014250644,0.000028945366,0.0001074521,0.00015506576,0.000079321006],"domain_scores_gemma":[0.99894017,0.00039012852,0.00014262805,0.000099034216,0.00021129295,0.00021677506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015172751,0.00077397027,0.0010285984,0.0020953752,0.0018769589,0.0042129266,0.0014607954,0.0017306579,0.0055694],"category_scores_gemma":[0.0035288488,0.00042945158,0.00081637775,0.0013635078,0.0039649527,0.008991749,0.0020256322,0.0026868032,0.0007922473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000850612,0.000009525003,0.000048921433,0.000012067321,0.0000019547233,0.000019399085,0.00006685568,0.00021148323,0.00033396806,0.9979346,0.00031504448,0.0010376708],"study_design_scores_gemma":[0.0000045165025,0.0000047295225,0.000048960595,0.0000055228893,0.0000024304668,0.000029056398,0.000022463324,0.0031411916,0.00016196484,0.99620026,0.00037332895,0.0000055088235],"about_ca_topic_score_codex":0.00077499467,"about_ca_topic_score_gemma":0.00057399157,"teacher_disagreement_score":0.0055694,"about_ca_system_score_codex":0.0019152381,"about_ca_system_score_gemma":0.0008584649,"threshold_uncertainty_score":0.018631518},"labels":[],"label_agreement":null},{"id":"W2063927368","doi":"10.1016/j.aim.2012.03.017","title":"Lifting tropical curves in space and linear systems on graphs","year":2012,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Subvariety; Algebraic curve; Generalization; Euclidean space; Torus; Algebraic number; Graph; Space (punctuation); Algebraic properties; Euclidean geometry; Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Computer science; Geometry","score_opus":0.020148665658774163,"score_gpt":0.28599312849600134,"score_spread":0.2658444628372272,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063927368","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5978802,0.0026526696,0.21964507,0.010324621,0.0011917448,0.00012999284,0.0008640751,0.00059287384,0.16671881],"genre_scores_gemma":[0.9445251,0.0018313377,0.020873098,0.00046523567,0.0009984238,0.00007841163,0.00040039365,0.00020610538,0.03062197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921596,0.00018724239,0.000036751524,0.00015009893,0.00023019283,0.0001796742],"domain_scores_gemma":[0.99905246,0.00034043874,0.00013191566,0.00016852375,0.00012722613,0.00017938031],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007217306,0.00075117894,0.0008286463,0.002639434,0.0024368393,0.003466639,0.0008978786,0.0009525238,0.012001966],"category_scores_gemma":[0.0023171953,0.0005520481,0.0009053111,0.0028268478,0.004318371,0.008485741,0.0038332916,0.004104517,0.0010486955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010540934,0.0000068219124,0.00007603251,0.000014020074,0.0000024361866,0.000022375018,0.00018738053,0.0003804941,0.00017686875,0.9959512,0.00056366,0.0026083393],"study_design_scores_gemma":[0.000006595402,0.000004948479,0.00007328512,0.000005547237,0.0000032329265,0.000028712797,0.000082028484,0.0009954901,0.00016371369,0.9959252,0.002705886,0.0000053889435],"about_ca_topic_score_codex":0.0017051842,"about_ca_topic_score_gemma":0.0015329103,"teacher_disagreement_score":0.012001966,"about_ca_system_score_codex":0.001701218,"about_ca_system_score_gemma":0.00069301605,"threshold_uncertainty_score":0.040150583},"labels":[],"label_agreement":null},{"id":"W2064349122","doi":"10.1016/j.aim.2009.03.002","title":"Finitely semisimple spherical categories and modular categories are self-dual","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Functor; Dual (grammatical number); Exact functor; Pure mathematics; Field (mathematics); Algebra over a field; Hopf algebra; Finitely-generated abelian group; Order (exchange); Linguistics","score_opus":0.017126542839771733,"score_gpt":0.29034922725157525,"score_spread":0.27322268441180353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064349122","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6236409,0.0017638169,0.1145418,0.0036787281,0.00047178988,0.00006748015,0.00028842452,0.0003350879,0.25521195],"genre_scores_gemma":[0.97566694,0.00043384082,0.0058572763,0.00030590023,0.00032639582,0.000048274505,0.00018441558,0.000041814135,0.01713515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992506,0.00019769692,0.000045076096,0.00014311839,0.00024276794,0.00012073935],"domain_scores_gemma":[0.99869305,0.00044899047,0.0002352617,0.00015475154,0.00021485328,0.00025310472],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089438213,0.00065197435,0.0008059903,0.0020293293,0.0019559527,0.0038494477,0.00096363924,0.0013588526,0.0062335804],"category_scores_gemma":[0.0021058205,0.00059188856,0.00088398583,0.0010673155,0.005757039,0.006294192,0.0031789367,0.0026530393,0.0008453034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008478667,0.000007112352,0.00009072193,0.00000847241,0.0000025204308,0.000024453715,0.00016814911,0.00006250241,0.00020247193,0.99843746,0.00017834987,0.0008093279],"study_design_scores_gemma":[0.000008861719,0.000007669149,0.00019930361,0.000003782172,0.0000039990464,0.000095003445,0.00012506511,0.00040795526,0.0001543207,0.99768746,0.0013016427,0.0000050366452],"about_ca_topic_score_codex":0.0005759452,"about_ca_topic_score_gemma":0.0006796618,"teacher_disagreement_score":0.0062335804,"about_ca_system_score_codex":0.0010528433,"about_ca_system_score_gemma":0.0005099256,"threshold_uncertainty_score":0.0208534},"labels":[],"label_agreement":null},{"id":"W2065700732","doi":"10.1016/j.aim.2009.05.012","title":"Differential conformal superalgebras and their forms","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Windsor","funders":"","keywords":"Mathematics; Conformal map; Pure mathematics; Differential (mechanical device); Algebra over a field; Differential operator; Mathematical analysis","score_opus":0.01289461662059457,"score_gpt":0.27994435550011865,"score_spread":0.2670497388795241,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2065700732","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41533628,0.008879429,0.096631415,0.009010973,0.001112055,0.0000910509,0.00044334418,0.00029065268,0.4682048],"genre_scores_gemma":[0.9357812,0.002960448,0.01169743,0.0009314502,0.0014011123,0.00010217188,0.00024130048,0.00006164636,0.0468233],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994825,0.00014853179,0.000026825637,0.00006969703,0.00020552431,0.000066927016],"domain_scores_gemma":[0.99933237,0.00016638952,0.000100431935,0.000085248896,0.00016580582,0.00014974308],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089162996,0.0005636487,0.0006637378,0.0017958108,0.002218976,0.0026981286,0.00079215626,0.0012629733,0.0077294833],"category_scores_gemma":[0.0018286565,0.0004253109,0.0005391075,0.0015817101,0.0035730407,0.0038137997,0.0014768746,0.002262287,0.0008825244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000016821358,0.000003818043,0.000027780467,0.000004528113,9.628368e-7,0.000010321208,0.00006811894,0.00007115367,0.000092118695,0.9987974,0.00026165278,0.00066037115],"study_design_scores_gemma":[0.0000025124148,0.0000024297528,0.000044520715,0.0000022809138,8.009289e-7,0.00002838964,0.000028037306,0.00038261453,0.000033344408,0.99819547,0.0012771009,0.000002554997],"about_ca_topic_score_codex":0.0011065281,"about_ca_topic_score_gemma":0.0010702703,"teacher_disagreement_score":0.0077294833,"about_ca_system_score_codex":0.0015338339,"about_ca_system_score_gemma":0.0007896643,"threshold_uncertainty_score":0.025857627},"labels":[],"label_agreement":null},{"id":"W2066237321","doi":"10.1016/j.aim.2007.06.012","title":"Global Hochschild (co-)homology of singular spaces","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Hochschild homology; Mathematics; Homomorphism; Cohomology; Morphism; Commutative property; Pure mathematics; Homology (biology); Mayer–Vietoris sequence; Singular homology; Algebra over a field; Equivariant cohomology; De Rham cohomology","score_opus":0.016490481859587798,"score_gpt":0.34170046899950807,"score_spread":0.3252099871399203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066237321","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7193578,0.0019109196,0.08505872,0.0031733043,0.00030072633,0.000045447872,0.00028446128,0.00032080148,0.1895478],"genre_scores_gemma":[0.97314847,0.0004743574,0.0038242415,0.00014416034,0.00025418348,0.000024259154,0.0001722332,0.000052687905,0.021905342],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99940586,0.00011313113,0.000027837263,0.00014028841,0.0001857272,0.00012716097],"domain_scores_gemma":[0.998885,0.00033134356,0.00014447703,0.00014316977,0.00019746069,0.00029867954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00091678044,0.000701558,0.00075213594,0.0031796123,0.0018482835,0.0035736724,0.0008174443,0.0008270319,0.0074832826],"category_scores_gemma":[0.0015769468,0.00039918514,0.0005663322,0.0016586732,0.003998166,0.0063621537,0.003760298,0.0024679196,0.00080616574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016317099,0.000012416058,0.00036563803,0.0000158777,0.0000074403088,0.000050562358,0.00041908934,0.0003629892,0.0006807689,0.99469584,0.000334401,0.0030387263],"study_design_scores_gemma":[0.00000734267,0.000013405162,0.0006889842,0.000005204975,0.00000798848,0.000090542286,0.00019445863,0.0011878937,0.0005851188,0.99542797,0.0017833554,0.000007719771],"about_ca_topic_score_codex":0.0010843483,"about_ca_topic_score_gemma":0.0010035837,"teacher_disagreement_score":0.0074832826,"about_ca_system_score_codex":0.0015528692,"about_ca_system_score_gemma":0.00051394646,"threshold_uncertainty_score":0.02503407},"labels":[],"label_agreement":null},{"id":"W2066665595","doi":"10.1016/j.aim.2009.07.011","title":"On the Brown–Shields conjecture for cyclicity in the Dirichlet space","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Holomorphic function; Square-integrable function; Conjecture; Zero (linguistics); Space (punctuation); Polynomial; Shields; Square (algebra); Pure mathematics; Dirichlet distribution; Unit disk; Function (biology); Function space; Mathematical analysis; Combinatorics; Geometry","score_opus":0.029838777638668046,"score_gpt":0.33088394654727943,"score_spread":0.3010451689086114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066665595","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60391545,0.005382554,0.11059874,0.03642524,0.0022796178,0.00006543303,0.0007444533,0.00048293947,0.24010555],"genre_scores_gemma":[0.96217763,0.0015660733,0.008107309,0.0022340242,0.002530856,0.000057439225,0.00042320348,0.00014868453,0.022754723],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998588,0.00045940425,0.00006270219,0.00030499898,0.00030597436,0.00027888897],"domain_scores_gemma":[0.99320436,0.0035806415,0.0006339876,0.00081709615,0.0007604619,0.0010033379],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029250334,0.0008396131,0.0014341658,0.0029628908,0.0028712214,0.0035486643,0.0013454335,0.0027403713,0.012090858],"category_scores_gemma":[0.011803099,0.0005190948,0.0013172345,0.0020814876,0.009464581,0.008636033,0.004798527,0.0044864933,0.0009815445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027115766,0.0000065103413,0.00015519602,0.000018335237,0.0000037079599,0.00003186717,0.000105851446,0.00037818178,0.00015587418,0.99654704,0.0011919134,0.0013784918],"study_design_scores_gemma":[0.000010179333,0.0000067621445,0.00012265601,0.00000854173,0.0000023555688,0.00002910711,0.000042954467,0.0013031714,0.00007527946,0.99734145,0.0010489319,0.0000085740985],"about_ca_topic_score_codex":0.0024654919,"about_ca_topic_score_gemma":0.001241776,"teacher_disagreement_score":0.012090858,"about_ca_system_score_codex":0.0020071198,"about_ca_system_score_gemma":0.0013317424,"threshold_uncertainty_score":0.04044795},"labels":[],"label_agreement":null},{"id":"W2066770613","doi":"10.1016/s0001-8708(02)00063-4","title":"Euler equations on homogeneous spaces and Virasoro orbits","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":229,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Isaac Newton Institute for Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Geodesic; Integrable system; Invariant (physics); Geodesic flow; Homogeneous; Pure mathematics; Virasoro algebra; Dynamical systems theory; Group (periodic table); Space (punctuation); Euler's formula; Lie group; Euler equations; Mathematical analysis; Mathematical physics; Algebra over a field; Computer science","score_opus":0.011630377038720099,"score_gpt":0.2818477186743629,"score_spread":0.2702173416356428,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066770613","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5418075,0.011826095,0.17262627,0.009059295,0.0017423889,0.000097906464,0.0008631465,0.0002448208,0.26173267],"genre_scores_gemma":[0.8821749,0.005718788,0.019851083,0.0006721932,0.0017583804,0.00008271386,0.00061786885,0.00011463691,0.08900961],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984765,0.00004119795,0.000010404341,0.000022777635,0.000049176986,0.000028786655],"domain_scores_gemma":[0.99969363,0.00009021268,0.00006979817,0.000027713135,0.00005124623,0.00006736724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005677341,0.0010668956,0.00077951944,0.0018429549,0.0012409627,0.0020108675,0.0008790071,0.0012390936,0.0051426473],"category_scores_gemma":[0.001376625,0.00041477254,0.00076323445,0.0012690164,0.0022149603,0.0050506713,0.0015030088,0.0020961282,0.0005691761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007158485,0.0000073066385,0.000053504682,0.00000992253,0.000002351195,0.000024366149,0.00007654455,0.0006550172,0.00018209824,0.9974643,0.0004587545,0.0010586954],"study_design_scores_gemma":[0.000008407256,0.0000043366585,0.00011851707,0.000005430898,0.0000025448135,0.000032186257,0.00004182076,0.0030508933,0.000056124627,0.9953241,0.0013507388,0.0000049523546],"about_ca_topic_score_codex":0.0027825783,"about_ca_topic_score_gemma":0.002394733,"teacher_disagreement_score":0.0051426473,"about_ca_system_score_codex":0.0013881042,"about_ca_system_score_gemma":0.00084317086,"threshold_uncertainty_score":0.017203927},"labels":[],"label_agreement":null},{"id":"W2068716775","doi":"10.1016/j.aim.2009.10.009","title":"Homology of perfect complexes","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":116,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Local ring; Homology (biology); Pure mathematics; Bounded function; Complete intersection; Mathematical proof; Abelian group; Commutative property; Homomorphism; Dimension (graph theory); Commutative ring; Discrete mathematics; Ring (chemistry); Geometry; Mathematical analysis","score_opus":0.021408183342609056,"score_gpt":0.3296793222957875,"score_spread":0.3082711389531784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068716775","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34653208,0.007952584,0.082084954,0.008354796,0.0010509085,0.000069509275,0.0006625292,0.00043895474,0.5528536],"genre_scores_gemma":[0.94631696,0.0016904167,0.00515896,0.00044694575,0.0007369652,0.000040675317,0.00036462076,0.00007842234,0.045165963],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993142,0.00013320737,0.000030329886,0.00016739446,0.0002470959,0.00010772123],"domain_scores_gemma":[0.9989858,0.00035298354,0.00012416628,0.00011204038,0.00018892821,0.00023610261],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075209857,0.0007048962,0.0010692481,0.0028430517,0.0020668455,0.0041481243,0.00095107977,0.0010302028,0.011045428],"category_scores_gemma":[0.002538189,0.000496808,0.00053531857,0.0018135873,0.004143246,0.0065930258,0.003626019,0.002770561,0.0009622519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009216396,0.0000054320185,0.00012647764,0.000014536974,0.0000039477304,0.000024778179,0.00018977509,0.00021491891,0.00015617262,0.99640334,0.00074596796,0.002105393],"study_design_scores_gemma":[0.0000071557156,0.00000654096,0.00029946753,0.0000074473337,0.000005902916,0.000058502672,0.000093003335,0.00086250476,0.0001469749,0.99425066,0.004256639,0.000005239469],"about_ca_topic_score_codex":0.0018742738,"about_ca_topic_score_gemma":0.0010678774,"teacher_disagreement_score":0.011045428,"about_ca_system_score_codex":0.0022015884,"about_ca_system_score_gemma":0.00066800235,"threshold_uncertainty_score":0.036950648},"labels":[],"label_agreement":null},{"id":"W2068910125","doi":"10.1016/j.aim.2005.05.014","title":"Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Bijection; Conjecture; Equivalence (formal languages); Factorization; Combinatorics; Pure mathematics; Equivalence relation; Symmetric function; Basis (linear algebra); Ribbon; Geometry","score_opus":0.031881195003841484,"score_gpt":0.3395643267235235,"score_spread":0.307683131719682,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068910125","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5431759,0.0009340242,0.27822116,0.0008279555,0.00052337756,0.00007706858,0.00023666528,0.0004014289,0.17560242],"genre_scores_gemma":[0.9362476,0.0006498299,0.029585935,0.00033696857,0.00029649553,0.00007356368,0.00031002084,0.00022867045,0.03227098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989178,0.00027406402,0.000057404275,0.00019401048,0.0002980335,0.000258627],"domain_scores_gemma":[0.99894494,0.00035528705,0.00014969817,0.00015762032,0.00019150887,0.00020096349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011889759,0.00091003225,0.00092651276,0.0018282058,0.00224423,0.0031036823,0.001159924,0.0010988793,0.008319904],"category_scores_gemma":[0.0026593036,0.0006756091,0.0010034355,0.0012256375,0.00386728,0.004942036,0.0025614838,0.0027522354,0.001475768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004005474,0.000011348181,0.00007433478,0.0000128921065,0.0000038487383,0.000063104315,0.00012389796,0.0003844883,0.0012822616,0.9927146,0.0003402196,0.00494904],"study_design_scores_gemma":[0.000009583492,0.000015529145,0.00012894122,0.0000064111873,0.000005235234,0.00009989324,0.00009976204,0.002141268,0.0014178694,0.9943323,0.0017334804,0.000009682487],"about_ca_topic_score_codex":0.0006849745,"about_ca_topic_score_gemma":0.0008989237,"teacher_disagreement_score":0.008319904,"about_ca_system_score_codex":0.001134725,"about_ca_system_score_gemma":0.0006439117,"threshold_uncertainty_score":0.027832866},"labels":[],"label_agreement":null},{"id":"W2071620493","doi":"10.1016/j.aim.2010.10.012","title":"Unconditional basic sequences in spaces of large density","year":2010,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Banach space; Statement (logic); Consistency (knowledge bases); Sequence (biology); Omega; Aleph; Pure mathematics; Space (punctuation); Discrete mathematics; Computer science; Physics; Epistemology","score_opus":0.023804477934317038,"score_gpt":0.3486454596389264,"score_spread":0.32484098170460934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071620493","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2499397,0.005953096,0.6436777,0.007539793,0.00086213584,0.00009332731,0.0007795622,0.00073886197,0.09041591],"genre_scores_gemma":[0.8787488,0.00462876,0.071081504,0.0010519015,0.0016287741,0.00031661856,0.00080942654,0.00035249375,0.041381847],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874604,0.00042252452,0.000060045193,0.0002018617,0.00043285266,0.00013665605],"domain_scores_gemma":[0.9945604,0.0026915174,0.0004139153,0.00034252284,0.0010937372,0.0008978807],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029483347,0.0015379925,0.001264979,0.003985674,0.0016684271,0.0036353546,0.0014752166,0.0018202238,0.008288564],"category_scores_gemma":[0.010787325,0.00085573475,0.0008628433,0.0026316089,0.0038220012,0.009822252,0.00423371,0.0047396226,0.000951649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000116341525,0.000007880827,0.000090452464,0.00002453802,0.000004805532,0.00001895918,0.000078968566,0.00056712667,0.00021785399,0.996472,0.00057964097,0.0019261674],"study_design_scores_gemma":[0.00000861999,0.000009844723,0.00015571876,0.000009160962,0.0000047007384,0.000056680514,0.00004330579,0.0069363946,0.00016566471,0.9909394,0.0016622678,0.0000082762235],"about_ca_topic_score_codex":0.0009423129,"about_ca_topic_score_gemma":0.00080215617,"teacher_disagreement_score":0.008288564,"about_ca_system_score_codex":0.0020745273,"about_ca_system_score_gemma":0.00098565,"threshold_uncertainty_score":0.027728021},"labels":[],"label_agreement":null},{"id":"W2072343568","doi":"10.1016/j.aim.2006.03.011","title":"Examples of non-Kähler Hamiltonian circle manifolds with the strong Lefschetz property","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Symplectic geometry; Lefschetz fixed-point theorem; Quotient; Pure mathematics; Submanifold; Counterexample; Fixed point; Hamiltonian (control theory); Mathematical analysis; Discrete mathematics; Fixed-point theorem","score_opus":0.02442753305096602,"score_gpt":0.2752037836849732,"score_spread":0.2507762506340072,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072343568","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7638046,0.0019016641,0.052210826,0.0015055472,0.00019006495,0.00007933453,0.0006184536,0.00040087625,0.17928869],"genre_scores_gemma":[0.979038,0.00032533912,0.009884449,0.00007520824,0.00006280894,0.000035237328,0.0002252194,0.000038090242,0.010315638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99983454,0.000033626846,0.0000083996365,0.000021567843,0.00007192065,0.000030070441],"domain_scores_gemma":[0.9996865,0.000073549054,0.00006685091,0.00003451056,0.00006630183,0.000072368326],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014128277,0.00050474016,0.00037610295,0.0016027237,0.0011101263,0.0010993283,0.0005706936,0.0009568366,0.008545292],"category_scores_gemma":[0.0005342761,0.0002645532,0.00027166153,0.0011003299,0.0009785341,0.0012277347,0.0009766923,0.0005851979,0.0006355028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052536925,0.00002102757,0.0005420491,0.00011096788,0.000012087411,0.00062237814,0.00026161957,0.002041001,0.0051793028,0.9814911,0.003675987,0.005989892],"study_design_scores_gemma":[0.00004913581,0.000050014653,0.0042602858,0.000025143336,0.00001965919,0.0016535306,0.00042298317,0.025870802,0.0036020668,0.947612,0.016396374,0.000037877242],"about_ca_topic_score_codex":0.00035969034,"about_ca_topic_score_gemma":0.0006813376,"teacher_disagreement_score":0.008545292,"about_ca_system_score_codex":0.00044884603,"about_ca_system_score_gemma":0.0001739759,"threshold_uncertainty_score":0.028586805},"labels":[],"label_agreement":null},{"id":"W2072726992","doi":"10.1016/j.aim.2012.04.003","title":"A geometric deletion–restriction formula","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Hyperplane; Ideal (ethics); Logarithm; Pure mathematics; Polynomial; Euler's formula; Variety (cybernetics); Equivalence (formal languages); Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.026498438799627922,"score_gpt":0.31713963608027695,"score_spread":0.290641197280649,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072726992","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18413612,0.0015144652,0.27821973,0.01102271,0.0018702112,0.00007365378,0.00044101197,0.0007586461,0.5219634],"genre_scores_gemma":[0.8517664,0.0011884439,0.051197138,0.0024588297,0.0014737447,0.00011052863,0.00069307536,0.0005402857,0.090571485],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991881,0.00018215776,0.00003723313,0.00018852527,0.00027155978,0.00013236355],"domain_scores_gemma":[0.99888235,0.00052937656,0.000077197496,0.00021234527,0.00017876302,0.00012003974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088657835,0.00075587264,0.0010197428,0.0012961964,0.0019187407,0.0021363785,0.002019285,0.0014212541,0.014502503],"category_scores_gemma":[0.0028411855,0.0004764389,0.00084703893,0.0016393969,0.0042442163,0.008209321,0.0042494005,0.0051952847,0.0024690572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017426784,0.000008644772,0.00006263352,0.000017349757,0.0000020376956,0.00007002076,0.00007623163,0.00010913805,0.00041364718,0.99312323,0.0016654737,0.004434233],"study_design_scores_gemma":[0.000017617052,0.000010448732,0.00011754355,0.0000071660593,0.00000989401,0.00029655127,0.000057402198,0.0009828317,0.00054095173,0.98972356,0.008226132,0.000009869922],"about_ca_topic_score_codex":0.0005159793,"about_ca_topic_score_gemma":0.00028692273,"teacher_disagreement_score":0.014502503,"about_ca_system_score_codex":0.0009559937,"about_ca_system_score_gemma":0.0005398721,"threshold_uncertainty_score":0.048515677},"labels":[],"label_agreement":null},{"id":"W2072860707","doi":"10.1016/j.aim.2012.07.024","title":"Universal stratifications and a Bertini-type theorem","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Cotangent bundle; Stratification (seeds); Pure mathematics; Gravitational singularity; Type (biology); Class (philosophy); Trigonometric functions; Mathematical analysis; Geometry; Computer science","score_opus":0.028126516915424334,"score_gpt":0.3165321163959326,"score_spread":0.28840559948050826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072860707","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27765036,0.0052111256,0.10530751,0.011210609,0.001231426,0.00008562578,0.0007287144,0.00085939886,0.5977154],"genre_scores_gemma":[0.93085045,0.0012210065,0.013318088,0.0007801558,0.0008316914,0.000060388218,0.0002840608,0.00014084819,0.052513294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999508,0.00007339111,0.000022603605,0.00009354069,0.00015864927,0.00014369228],"domain_scores_gemma":[0.99941313,0.00015720469,0.000057417787,0.000077303725,0.00009832168,0.00019671286],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007519037,0.0006516914,0.0009776768,0.002667194,0.004181029,0.0024671427,0.00084978074,0.0010279807,0.0096735135],"category_scores_gemma":[0.0015377589,0.00059627165,0.00086340256,0.0016293034,0.003830649,0.0063396306,0.0039410037,0.003604053,0.0012094773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013114329,0.0000070711217,0.00011279762,0.000014499885,0.0000024268695,0.00002535468,0.00014712621,0.00005885102,0.00024197355,0.996971,0.0010776551,0.001328256],"study_design_scores_gemma":[0.000014825973,0.000007199258,0.0004600272,0.000009653905,0.000009508552,0.000098639954,0.00007924742,0.00056369463,0.00028613798,0.9904569,0.008004725,0.000009578093],"about_ca_topic_score_codex":0.0016870503,"about_ca_topic_score_gemma":0.0016277868,"teacher_disagreement_score":0.0096735135,"about_ca_system_score_codex":0.002124957,"about_ca_system_score_gemma":0.00050121633,"threshold_uncertainty_score":0.03236109},"labels":[],"label_agreement":null},{"id":"W2073460532","doi":"10.1006/aima.2000.1940","title":"Entropy and Dyadic Equivalence of Random Walks on a Random Scenery","year":2000,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Fuzzy Systems and Optimization","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lockheed Martin (Canada)","funders":"","keywords":"Endomorphism; Mathematics; Probability measure; Metric space; Random walk; Combinatorics; Entropy (arrow of time); Sequence (biology); Equivalence (formal languages); Discrete mathematics; Pure mathematics; Statistics","score_opus":0.015970536122331097,"score_gpt":0.2912840823920583,"score_spread":0.27531354626972715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073460532","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66519296,0.00096036977,0.29554042,0.0016647109,0.00018598059,0.000085849024,0.00056743907,0.00016886668,0.03563341],"genre_scores_gemma":[0.97490203,0.00062528666,0.014566732,0.00017827009,0.00028871314,0.000098812416,0.0005357536,0.00010036399,0.008704097],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99801135,0.0006491616,0.00010163121,0.00043388605,0.0004592384,0.00034468542],"domain_scores_gemma":[0.9919041,0.0043556765,0.0010645133,0.0006351679,0.0008448629,0.0011956638],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021612768,0.00061870867,0.0019059378,0.0040142816,0.0018637353,0.00388133,0.001671959,0.0016228457,0.007737767],"category_scores_gemma":[0.010346504,0.00059085427,0.0011864157,0.002023815,0.0037942377,0.007432294,0.0033827752,0.0019342114,0.0004569445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034960623,0.00002141409,0.0003610345,0.00001784647,0.000010831587,0.000036257185,0.000116976575,0.0042361263,0.0002835963,0.99274194,0.00028786348,0.0018512143],"study_design_scores_gemma":[0.000016731306,0.000028407976,0.0009797543,0.000013899554,0.000009853835,0.000065084205,0.0001022792,0.047620997,0.00017956432,0.950241,0.0007206387,0.000021623398],"about_ca_topic_score_codex":0.0019872787,"about_ca_topic_score_gemma":0.0016246035,"teacher_disagreement_score":0.007737767,"about_ca_system_score_codex":0.0015273882,"about_ca_system_score_gemma":0.00063617184,"threshold_uncertainty_score":0.025885344},"labels":[],"label_agreement":null},{"id":"W2074829746","doi":"10.1016/j.aim.2005.05.017","title":"Effective dynamics of magnetic vortices","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Vortex; Dissipative system; Mathematics; Hamiltonian (control theory); Classical mechanics; Dynamics (music); Hamiltonian system; Motion (physics); Mathematical physics; Physics; Mechanics; Quantum mechanics; Mathematical optimization","score_opus":0.010763187630921111,"score_gpt":0.3195239884819136,"score_spread":0.3087608008509925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2074829746","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5012018,0.0051423954,0.16109657,0.00915801,0.0027451136,0.00011064154,0.00029325575,0.00042606736,0.3198262],"genre_scores_gemma":[0.9463338,0.0012112602,0.0113161495,0.00061323855,0.0012452598,0.00009604527,0.00017334011,0.000115742834,0.038895175],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970335,0.00008187681,0.000010532092,0.000031449617,0.00010739886,0.000065431705],"domain_scores_gemma":[0.9995509,0.00006448705,0.00005802327,0.00004254427,0.00013342251,0.0001505737],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060794264,0.0006387146,0.0008035015,0.0020376397,0.0014200662,0.0027163648,0.0012459815,0.001251039,0.0062194765],"category_scores_gemma":[0.0017440667,0.00032615673,0.0004739693,0.00070379395,0.0023540133,0.0039936947,0.0016266018,0.0015819819,0.0005686724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000114169525,0.000009371878,0.000033331624,0.000010703899,0.0000028698917,0.000019538707,0.000043045566,0.00091841706,0.0005266617,0.9968369,0.00055583176,0.0010319607],"study_design_scores_gemma":[0.000023105615,0.000013322465,0.00012514755,0.000008830496,0.0000030235594,0.00004298761,0.000042446045,0.015950646,0.00018497002,0.981655,0.0019412619,0.000009309516],"about_ca_topic_score_codex":0.00084413186,"about_ca_topic_score_gemma":0.00084108725,"teacher_disagreement_score":0.0062194765,"about_ca_system_score_codex":0.0015179001,"about_ca_system_score_gemma":0.0006916677,"threshold_uncertainty_score":0.020806193},"labels":[],"label_agreement":null},{"id":"W2076373437","doi":"10.1016/j.aim.2008.11.013","title":"Projective push-forwards in the Witt theory of algebraic varieties","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Projective test; Morphism; Pure mathematics; Witt vector; Algebra over a field; Algebraic variety; Algebraic number; Mathematical analysis","score_opus":0.03431694589284208,"score_gpt":0.30505444173335816,"score_spread":0.2707374958405161,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076373437","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53142697,0.0060069025,0.15278973,0.0048302896,0.00089237135,0.000084140454,0.000605153,0.00074719294,0.3026172],"genre_scores_gemma":[0.9572795,0.0016188141,0.008842527,0.00025708188,0.0005813639,0.00003804302,0.00024287595,0.0001043754,0.031035528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912494,0.00019756577,0.0000436293,0.00015330779,0.0003002142,0.00018031988],"domain_scores_gemma":[0.9988741,0.00047196404,0.00013247324,0.00015502363,0.00015320063,0.00021313516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001364889,0.0008890142,0.0008830164,0.002657057,0.0026607278,0.004364804,0.0010780056,0.0011951756,0.0074996096],"category_scores_gemma":[0.0024373562,0.0008482739,0.0010769998,0.002466251,0.0061845817,0.010564725,0.0032855475,0.004037945,0.0010954384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015322103,0.000008927337,0.000072779156,0.000018484541,0.000005406788,0.000060104594,0.00021264369,0.00034192216,0.00021850213,0.99682176,0.00033449766,0.0018896795],"study_design_scores_gemma":[0.000010926879,0.0000117017635,0.00011178746,0.0000064034334,0.000006053284,0.00007452121,0.00007196619,0.0008008366,0.00021811639,0.9968514,0.0018279911,0.000008456305],"about_ca_topic_score_codex":0.00096891157,"about_ca_topic_score_gemma":0.0008680699,"teacher_disagreement_score":0.0074996096,"about_ca_system_score_codex":0.0013731754,"about_ca_system_score_gemma":0.000749319,"threshold_uncertainty_score":0.025088668},"labels":[],"label_agreement":null},{"id":"W2077563031","doi":"10.1016/j.aim.2010.05.011","title":"Equivariant embedding theorems and topological index maps","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Equivariant map; Embedding; Vector bundle; Functor; Pure mathematics; Equivariant cohomology; Cohomology; Topology (electrical circuits); Combinatorics","score_opus":0.02932400300654854,"score_gpt":0.3933405990384651,"score_spread":0.36401659603191655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077563031","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4526546,0.0035783476,0.30299914,0.0063545736,0.00092362834,0.00007381962,0.00048497762,0.0006024873,0.23232834],"genre_scores_gemma":[0.93637604,0.002116802,0.024734797,0.00071614544,0.000972757,0.00011123429,0.00045070518,0.00027677068,0.03424464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932194,0.00015168618,0.000038951555,0.00015368719,0.00021859481,0.00011519961],"domain_scores_gemma":[0.99836034,0.00068157184,0.00025273487,0.00016913305,0.00025008002,0.00028610005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011851167,0.0010303187,0.0009060679,0.002835629,0.0016147816,0.0031795804,0.0011503942,0.0010866915,0.0062447377],"category_scores_gemma":[0.0028797362,0.00053833163,0.0008696976,0.0013994856,0.0029774962,0.010344927,0.003734925,0.0043269023,0.0007657854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016689462,0.000017173848,0.00013627995,0.000017172637,0.0000051487946,0.000044210636,0.0001712414,0.00020252971,0.0004626976,0.9959508,0.0003864715,0.0025896523],"study_design_scores_gemma":[0.000011653162,0.00001272479,0.00020720162,0.000004213144,0.0000060639895,0.00008395095,0.00008251947,0.0015941138,0.00039999152,0.9955022,0.0020884685,0.0000069462744],"about_ca_topic_score_codex":0.00041093942,"about_ca_topic_score_gemma":0.00033019678,"teacher_disagreement_score":0.0062447377,"about_ca_system_score_codex":0.0009940137,"about_ca_system_score_gemma":0.00029926831,"threshold_uncertainty_score":0.020890772},"labels":[],"label_agreement":null},{"id":"W2078910393","doi":"10.1016/j.aim.2012.08.002","title":"Resolution except for minimal singularities I","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Gravitational singularity; Mathematics; Resolution of singularities; Blowing up; Codimension; Divisor (algebraic geometry); Pure mathematics; Simple (philosophy); Invariant (physics); Dimension (graph theory); Resolution (logic); Class (philosophy); Mathematical analysis; Mathematical physics; Computer science","score_opus":0.037187013697179916,"score_gpt":0.3339383976114953,"score_spread":0.2967513839143154,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078910393","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12049065,0.00496705,0.15149648,0.01150226,0.003641121,0.00017314518,0.0009206152,0.0014668078,0.7053418],"genre_scores_gemma":[0.86211026,0.0019131509,0.033587847,0.002254057,0.001442771,0.00013378024,0.0011719895,0.000622255,0.09676381],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991147,0.0001662093,0.0000537026,0.00025255152,0.00021084852,0.00020199863],"domain_scores_gemma":[0.998852,0.00028838252,0.00011629083,0.00031491517,0.00020939537,0.00021888745],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001047018,0.0010118325,0.0013041073,0.001669557,0.0026973228,0.003945911,0.0016921317,0.0017353179,0.014196349],"category_scores_gemma":[0.0042710137,0.0006291137,0.0013154328,0.00087664434,0.0041190973,0.009067839,0.004775304,0.006521127,0.0040032524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041429623,0.000017914195,0.00011430537,0.0000619399,0.000012067625,0.0001383219,0.00020275889,0.00013832863,0.00069776154,0.9896903,0.0046144584,0.0042705326],"study_design_scores_gemma":[0.000016308748,0.000009443425,0.00008579747,0.000021485872,0.000010302331,0.00017124077,0.000088317,0.00035585166,0.00059504126,0.99210125,0.006536341,0.000008529358],"about_ca_topic_score_codex":0.00043592777,"about_ca_topic_score_gemma":0.0002631846,"teacher_disagreement_score":0.014196349,"about_ca_system_score_codex":0.0009756158,"about_ca_system_score_gemma":0.00065198395,"threshold_uncertainty_score":0.04749149},"labels":[],"label_agreement":null},{"id":"W2079429755","doi":"10.1006/aima.2000.1964","title":"Hall–Littlewood Vertex Operators and Generalized Kostka Polynomials","year":2001,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Macdonald polynomials; Orthogonal polynomials; Pure mathematics; Classical orthogonal polynomials; Vertex (graph theory); Symmetric function; Discrete orthogonal polynomials; Operator theory; Ring of symmetric functions; Algebra over a field; Combinatorics; Graph","score_opus":0.02185145110787209,"score_gpt":0.31089846121743286,"score_spread":0.2890470101095608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079429755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6852176,0.0069029676,0.108790375,0.007409802,0.0010442218,0.000047028243,0.00024560542,0.00036801345,0.18997435],"genre_scores_gemma":[0.9757126,0.0013305366,0.006589502,0.0004281396,0.0007152731,0.00003350252,0.00007950617,0.000041175725,0.015069775],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958986,0.00013970898,0.000017389937,0.000062503226,0.000100400066,0.00009013641],"domain_scores_gemma":[0.99922764,0.00031488374,0.00013757525,0.000092155744,0.00007178897,0.0001558902],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007766252,0.0007268365,0.00086097076,0.0020079757,0.0019207589,0.003344812,0.00096451724,0.0014614953,0.006237607],"category_scores_gemma":[0.0023682928,0.0004123295,0.00067901245,0.001719793,0.004456128,0.005211793,0.001746166,0.0031111313,0.00066086743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011927898,0.0000065803047,0.00005027315,0.0000104342225,0.000001947445,0.000027850661,0.000089853755,0.00028158876,0.00023915911,0.99778557,0.00030357446,0.0011911723],"study_design_scores_gemma":[0.0000048736374,0.000003796639,0.000054182834,0.0000029399741,0.0000017120939,0.00003019303,0.000030729014,0.00079962343,0.000067809524,0.99859005,0.0004100589,0.0000039655656],"about_ca_topic_score_codex":0.00084676535,"about_ca_topic_score_gemma":0.0008782742,"teacher_disagreement_score":0.006237607,"about_ca_system_score_codex":0.0013639054,"about_ca_system_score_gemma":0.0006837568,"threshold_uncertainty_score":0.020866811},"labels":[],"label_agreement":null},{"id":"W2081520588","doi":"10.1016/j.aim.2008.12.009","title":"Every place admits local uniformization in a finite extension of the function field","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Subring; Uniformization (probability theory); Function field; Residue field; Abelian extension; Extension (predicate logic); Galois module; Galois group; Pure mathematics; Uniformization theorem; Galois extension; Discrete mathematics; Field (mathematics); Riemann hypothesis; Geometric function theory","score_opus":0.013378518131710664,"score_gpt":0.2778716727580915,"score_spread":0.26449315462638084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081520588","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7144154,0.0007991679,0.20263827,0.0010123204,0.0003299295,0.000052878248,0.00031672083,0.00066962413,0.07976578],"genre_scores_gemma":[0.97559357,0.00025600006,0.010885513,0.00014150224,0.00019686075,0.000039141905,0.00022272512,0.00008597454,0.012578661],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99843746,0.00026536422,0.00010405379,0.000547632,0.00020734656,0.00043814004],"domain_scores_gemma":[0.99766386,0.00073790865,0.0003463636,0.00037620528,0.0003597693,0.0005160097],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013999802,0.000861831,0.0012979301,0.0018969616,0.0031646339,0.0037042035,0.0016635456,0.00085293886,0.004395155],"category_scores_gemma":[0.002180605,0.0005654705,0.0015919966,0.0014754069,0.007163637,0.008279797,0.0038373235,0.0030550791,0.00060487306],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026388868,0.000056987534,0.00083977054,0.000049664566,0.000034430162,0.00029838778,0.00048261142,0.00081741804,0.002704044,0.9879618,0.00033399242,0.0061568436],"study_design_scores_gemma":[0.00009420949,0.00020539251,0.0018243727,0.000032716984,0.000088909896,0.00057839573,0.0007382128,0.003478468,0.005369893,0.98139507,0.006135178,0.00005915191],"about_ca_topic_score_codex":0.0010959171,"about_ca_topic_score_gemma":0.0009320172,"teacher_disagreement_score":0.004395155,"about_ca_system_score_codex":0.0016485363,"about_ca_system_score_gemma":0.000650402,"threshold_uncertainty_score":0.014703274},"labels":[],"label_agreement":null},{"id":"W2082276217","doi":"10.1016/j.aim.2008.12.004","title":"On the nontrivial projection problem","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Projection (relational algebra); Bounded function; Dimension (graph theory); Rank (graph theory); Regular polygon; Logarithm; Normed vector space; Convex body; Product (mathematics); Pure mathematics; Space (punctuation); Combinatorics; Mathematical analysis; Geometry; Convex hull","score_opus":0.020317075326343893,"score_gpt":0.3279451495534351,"score_spread":0.3076280742270912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082276217","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25937808,0.0045962455,0.2758984,0.042117573,0.0016364687,0.0000785623,0.00048820436,0.00025043235,0.41555595],"genre_scores_gemma":[0.88005465,0.003242258,0.036356732,0.0017271382,0.0018786353,0.00015582559,0.000702076,0.0001745024,0.07570812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999456,0.00021264762,0.000019799314,0.00008472908,0.00015130428,0.0000755204],"domain_scores_gemma":[0.9985435,0.0008929663,0.000090987625,0.000110873785,0.00015871732,0.00020303487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010186955,0.0007370344,0.0008785396,0.00087045407,0.0015630784,0.0025840597,0.00086203957,0.0016780962,0.009461296],"category_scores_gemma":[0.0041855336,0.00034092512,0.00062852725,0.0009805168,0.0034669358,0.004858692,0.0039955084,0.0041284435,0.0007448103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013323935,0.000006752892,0.000043797714,0.000022222352,0.0000041382314,0.000027110977,0.000038313527,0.0005584677,0.00012477368,0.9959825,0.0014469493,0.0017317303],"study_design_scores_gemma":[0.000007065814,0.0000028543677,0.0000425907,0.0000043003142,0.000001459489,0.000021371286,0.000025576936,0.0030610007,0.000046775833,0.99576193,0.0010230106,0.000002168031],"about_ca_topic_score_codex":0.00080268265,"about_ca_topic_score_gemma":0.0005247556,"teacher_disagreement_score":0.009461296,"about_ca_system_score_codex":0.0011709131,"about_ca_system_score_gemma":0.001154401,"threshold_uncertainty_score":0.03165114},"labels":[],"label_agreement":null},{"id":"W2082705126","doi":"10.1016/j.aim.2008.06.013","title":"The KP hierarchy, branched covers, and triangulations","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":114,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Hierarchy; Series (stratigraphy); KdV hierarchy; Integrable system; Simple (philosophy); Pure mathematics; Quadratic equation; Combinatorics; Product (mathematics); Transitive relation; Factorization; Algebra over a field; Discrete mathematics; Korteweg–de Vries equation; Geometry; Nonlinear system","score_opus":0.010016274905648185,"score_gpt":0.27387083055063743,"score_spread":0.2638545556449893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082705126","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44556236,0.018754212,0.100617,0.010818695,0.0006618954,0.00005305589,0.0008178175,0.0003669684,0.4223479],"genre_scores_gemma":[0.95743644,0.0066861087,0.008532149,0.0005619121,0.000867418,0.00003523676,0.0004182548,0.000060222,0.025402257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995714,0.00009310464,0.000019138377,0.00006055269,0.00016495079,0.0000908493],"domain_scores_gemma":[0.99903405,0.00041560308,0.00011221518,0.00009239649,0.000114101946,0.00023168874],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049839355,0.00052996294,0.00075185456,0.0029676924,0.0018215048,0.0035203528,0.000793097,0.0012064558,0.0093939435],"category_scores_gemma":[0.0022502067,0.00035930926,0.0003944344,0.002379287,0.003265513,0.0060940315,0.0025164927,0.0025818667,0.000887607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000082435945,0.0000049652103,0.00008122336,0.000026551586,0.0000025367215,0.000035531066,0.0001391542,0.00053878914,0.00016792517,0.9948329,0.001012295,0.0031498708],"study_design_scores_gemma":[0.0000030625417,0.000002424653,0.000095842806,0.000009001483,0.0000015229398,0.000045657966,0.00007351102,0.0011591061,0.000028613473,0.9965926,0.0019860885,0.0000027417755],"about_ca_topic_score_codex":0.0025109332,"about_ca_topic_score_gemma":0.0017267459,"teacher_disagreement_score":0.0093939435,"about_ca_system_score_codex":0.0018910067,"about_ca_system_score_gemma":0.00045173764,"threshold_uncertainty_score":0.031425834},"labels":[],"label_agreement":null},{"id":"W2082716720","doi":"10.1016/j.aim.2006.01.010","title":"Homogeneous endpoint Besov space embeddings by Hausdorff capacity and heat equation","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Besov space; Homogeneous; Hausdorff measure; Hausdorff space; TRACE (psycholinguistics); Heat equation; Hausdorff distance; Urysohn and completely Hausdorff spaces; Space (punctuation); Mathematical analysis; Pure mathematics; Hausdorff dimension; Interpolation space; Combinatorics; Functional analysis; Computer science","score_opus":0.032184043623876446,"score_gpt":0.32816192184773746,"score_spread":0.295977878223861,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082716720","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49051803,0.0025201684,0.39685872,0.0052155247,0.00090614596,0.000106460735,0.0008083777,0.00031481995,0.10275173],"genre_scores_gemma":[0.9383984,0.0014933046,0.020189662,0.00043521018,0.0008734859,0.00010171849,0.00044686534,0.00026107594,0.03780027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99940133,0.00015078465,0.000031646927,0.00013053943,0.00017019673,0.000115457784],"domain_scores_gemma":[0.99781126,0.0007668412,0.00032558537,0.00018348808,0.0003861443,0.0005267307],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001526242,0.0013791984,0.0014837902,0.0029245913,0.0014963035,0.0030072553,0.0017869514,0.0015844625,0.007231702],"category_scores_gemma":[0.0039321957,0.00065237866,0.0013607304,0.0010370313,0.0037541667,0.00933564,0.005076765,0.004424415,0.00054841104],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020342173,0.000009458762,0.000102241676,0.000019405254,0.0000060778225,0.000028850802,0.00010034507,0.00083024724,0.00060485187,0.99691135,0.0003010385,0.0010657286],"study_design_scores_gemma":[0.000011538043,0.000019174375,0.0002589481,0.000009352707,0.0000097044485,0.000058044017,0.000083228544,0.015278933,0.00047323524,0.98220336,0.0015746506,0.000019826379],"about_ca_topic_score_codex":0.0017382047,"about_ca_topic_score_gemma":0.0009558293,"teacher_disagreement_score":0.007231702,"about_ca_system_score_codex":0.0021691353,"about_ca_system_score_gemma":0.00071607676,"threshold_uncertainty_score":0.024192512},"labels":[],"label_agreement":null},{"id":"W2082754577","doi":"10.1016/j.aim.2007.11.008","title":"Ghosts in modular representation theory","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Modular design; Representation (politics); Algebra over a field; Representation theory; Pure mathematics; Computer science; Programming language","score_opus":0.013180767183878683,"score_gpt":0.3109328257629224,"score_spread":0.29775205857904374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082754577","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3235481,0.0054538245,0.32188556,0.020738507,0.00418926,0.00009962778,0.0003577713,0.0010321413,0.32269526],"genre_scores_gemma":[0.9256682,0.0011605528,0.025111793,0.0010943617,0.0020165904,0.000072891795,0.00014950035,0.00020733911,0.044518802],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992052,0.0003034036,0.000040430285,0.00009337119,0.0002405583,0.000117127674],"domain_scores_gemma":[0.9982418,0.0007309099,0.00018253675,0.0003339253,0.0002462253,0.00026457364],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022153903,0.00076794595,0.0010508648,0.0024869032,0.0026572794,0.0036374829,0.001241435,0.0021221803,0.008364436],"category_scores_gemma":[0.004271638,0.00058767095,0.0008495519,0.0020528885,0.0060476484,0.010984762,0.0032597743,0.004625663,0.0011747708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005856612,0.0000039763495,0.000017141003,0.0000061032392,9.448487e-7,0.000010249582,0.00006286156,0.00007349849,0.000058074707,0.9985097,0.00037039825,0.0008812748],"study_design_scores_gemma":[0.000004993128,0.0000027688352,0.000013145257,0.0000025400338,0.0000012086459,0.000016729262,0.000011555775,0.00042888935,0.000030743893,0.9988268,0.0006583334,0.0000022699292],"about_ca_topic_score_codex":0.0005438778,"about_ca_topic_score_gemma":0.00041355653,"teacher_disagreement_score":0.008364436,"about_ca_system_score_codex":0.0014112345,"about_ca_system_score_gemma":0.0008089816,"threshold_uncertainty_score":0.027981818},"labels":[],"label_agreement":null},{"id":"W2084845260","doi":"10.1016/j.aim.2011.02.001","title":"Sums of adjoint orbits and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>-singular dichotomy for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"italic\">SU</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2011,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjugacy class; Lie algebra; Lie group; Invariant (physics); Haar measure; Eigenvalues and eigenvectors; Pure mathematics; Algebra over a field; Mathematical physics; Physics","score_opus":0.021236505844735517,"score_gpt":0.25793173381609286,"score_spread":0.23669522797135734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084845260","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19209497,0.0013426439,0.22443917,0.003469155,0.0013685391,0.00009630179,0.0019520129,0.0019035622,0.5733337],"genre_scores_gemma":[0.81939197,0.0007168826,0.03345608,0.00075959816,0.0008090374,0.00011739764,0.0027414665,0.0011998977,0.14080763],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987613,0.00023113209,0.00008270755,0.00021563304,0.00045331367,0.00025595853],"domain_scores_gemma":[0.99884593,0.0003807127,0.00008890037,0.00012620886,0.0003426882,0.00021550844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009371767,0.0005764192,0.00069399324,0.0024144242,0.0026221792,0.0038336343,0.00054427655,0.00065807055,0.032929033],"category_scores_gemma":[0.0024551116,0.00034331,0.0010479335,0.0009750716,0.0025888314,0.0054306276,0.0032996812,0.0024662416,0.0059416327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005044152,0.000023807966,0.00030886775,0.00004335296,0.00000941043,0.00010102018,0.00028898873,0.00023931405,0.0006525069,0.9808972,0.0072048446,0.010180124],"study_design_scores_gemma":[0.000015558062,0.000024907991,0.0008488786,0.000036900903,0.000016544613,0.00023288926,0.0003285844,0.0023596936,0.002397371,0.9676751,0.026036939,0.000026624693],"about_ca_topic_score_codex":0.0010057377,"about_ca_topic_score_gemma":0.0011574593,"teacher_disagreement_score":0.032929033,"about_ca_system_score_codex":0.0012179565,"about_ca_system_score_gemma":0.00081037916,"threshold_uncertainty_score":0.11015856},"labels":[],"label_agreement":null},{"id":"W2086344321","doi":"10.1016/j.aim.2010.05.015","title":"Algebraic methods in discrete analogs of the Kakeya problem","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":129,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Conjecture; Cardinality (data modeling); Mathematical proof; Line (geometry); Argument (complex analysis); Set (abstract data type); Field (mathematics); Plane (geometry); Combinatorics; Algebraic number; Discrete mathematics; Algebra over a field; Pure mathematics; Geometry; Mathematical analysis","score_opus":0.018715124331104536,"score_gpt":0.4006311990972713,"score_spread":0.38191607476616674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086344321","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13133156,0.008364356,0.5709836,0.012132072,0.0020932448,0.00008263495,0.00036069565,0.00021328616,0.27443853],"genre_scores_gemma":[0.80168784,0.005376516,0.098877706,0.0015334529,0.0025869012,0.00018852162,0.0003880683,0.00029120655,0.08906977],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992016,0.00035220795,0.000038933424,0.00012674456,0.00019738563,0.00008315148],"domain_scores_gemma":[0.9984503,0.00086414255,0.00013015662,0.00018631635,0.00019770536,0.0001712875],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013408823,0.00061898475,0.000991342,0.0015445366,0.0014454782,0.0030940939,0.0014503263,0.0012033548,0.00810847],"category_scores_gemma":[0.004903153,0.0003871313,0.0010275504,0.0011069281,0.0038127566,0.006584,0.003220927,0.0045185355,0.00086448836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005816772,0.00000701666,0.000024230909,0.000015619962,0.0000028461536,0.0000071569693,0.000039935236,0.00043095727,0.00007778095,0.99736816,0.0005432438,0.0014772158],"study_design_scores_gemma":[0.00000959,0.000004158627,0.000038967984,0.0000055670494,0.0000020695925,0.000017869228,0.00002887185,0.004105373,0.000056295332,0.9934156,0.002312031,0.0000036423146],"about_ca_topic_score_codex":0.00082060316,"about_ca_topic_score_gemma":0.000887451,"teacher_disagreement_score":0.00810847,"about_ca_system_score_codex":0.0016006861,"about_ca_system_score_gemma":0.001016321,"threshold_uncertainty_score":0.027125537},"labels":[],"label_agreement":null},{"id":"W2086667938","doi":"10.1016/j.aim.2008.01.002","title":"Smooth functions in o-minimal structures","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Diffeomorphism; Mathematics; Affine transformation; Differentiable function; Pure mathematics; Topology (electrical circuits); Exponential function; Mathematical analysis; Combinatorics","score_opus":0.03277476478057965,"score_gpt":0.3308332845772668,"score_spread":0.2980585197966871,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086667938","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6136982,0.0037372385,0.15471794,0.00546658,0.0007034208,0.000075230084,0.00037755244,0.0003436456,0.22088026],"genre_scores_gemma":[0.95634586,0.0012080646,0.014041113,0.00042049002,0.00044262048,0.000058611742,0.00020823033,0.00008686724,0.027188249],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996525,0.00006540879,0.000020124713,0.000077638426,0.000095990414,0.00008829636],"domain_scores_gemma":[0.9992797,0.00029453312,0.000094062794,0.000060578448,0.00009423024,0.00017687712],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056155876,0.00084866723,0.000776067,0.002301785,0.0021111509,0.0026743857,0.00075271237,0.0009199787,0.0048061498],"category_scores_gemma":[0.0016609795,0.00042165667,0.0007284998,0.0014866918,0.0034746132,0.005458221,0.003115186,0.002204387,0.00045821266],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001897621,0.0000071397276,0.00010723803,0.000015352416,0.0000034235102,0.00003439039,0.0001527342,0.00014935399,0.0004127046,0.9968688,0.0002693666,0.0019605353],"study_design_scores_gemma":[0.000008790672,0.000012333332,0.00023067612,0.000007707536,0.000007052303,0.000045997316,0.00012530069,0.00061519496,0.00023014501,0.9964222,0.0022893546,0.000005304976],"about_ca_topic_score_codex":0.00096619164,"about_ca_topic_score_gemma":0.0009326347,"teacher_disagreement_score":0.0048061498,"about_ca_system_score_codex":0.0010357029,"about_ca_system_score_gemma":0.0004476057,"threshold_uncertainty_score":0.016078234},"labels":[],"label_agreement":null},{"id":"W2087185188","doi":"10.1016/j.aim.2014.03.020","title":"The eighth moment of Dirichlet L -functions","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Medical Research Council; Centre de Recherches Mathématiques","keywords":"Mathematics; Moment (physics); Dirichlet distribution; Second moment of area; Modulo; Moduli; Critical line; Order (exchange); Mathematical analysis; Pure mathematics; Combinatorics; Geometry; Physics","score_opus":0.028784448655566335,"score_gpt":0.3546733292566721,"score_spread":0.32588888060110577,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087185188","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44062448,0.007728411,0.26618168,0.01652571,0.0037989235,0.00006456039,0.00056036527,0.0009118581,0.26360396],"genre_scores_gemma":[0.9183755,0.002498836,0.019007225,0.0010575178,0.0029011813,0.00009534849,0.00032500722,0.00039970738,0.05533969],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858487,0.0005250839,0.00007073723,0.00021706635,0.00035050962,0.00025178262],"domain_scores_gemma":[0.9952819,0.0020339899,0.00060589256,0.00040505556,0.00072651455,0.00094667106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028206313,0.0017851909,0.0014886275,0.006908374,0.0019393814,0.005733554,0.0024380938,0.0025978128,0.010503325],"category_scores_gemma":[0.01196665,0.00078669447,0.0011483064,0.0026496588,0.008002113,0.008557194,0.0035736319,0.0043245032,0.0017996749],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000066884575,0.00001654709,0.00021163173,0.000042104595,0.0000089438945,0.00008563777,0.00023769107,0.00066357397,0.00074199523,0.99251515,0.001292818,0.004117061],"study_design_scores_gemma":[0.000016010781,0.000018013325,0.00035518088,0.000035619578,0.0000103797565,0.0002169963,0.00008071826,0.0075347773,0.00057342363,0.9883531,0.0027712844,0.000034411947],"about_ca_topic_score_codex":0.0008218678,"about_ca_topic_score_gemma":0.0005141513,"teacher_disagreement_score":0.010503325,"about_ca_system_score_codex":0.002898018,"about_ca_system_score_gemma":0.0011573044,"threshold_uncertainty_score":0.035137117},"labels":[],"label_agreement":null},{"id":"W2087238392","doi":"10.1016/j.aim.2004.08.012","title":"Bivariate hypergeometric D-modules","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Russian Foundation for Basic Research; Agencia Nacional de Promoción Científica y Tecnológica; University of California Berkeley; Secretaría de Ciencia y Técnica, Universidad de Buenos Aires; Clay Mathematics Institute","keywords":"Mathematics; Holonomic; Bivariate analysis; Holomorphic function; Hypergeometric distribution; Pure mathematics; Rank (graph theory); Hypergeometric function; Algebra over a field; Combinatorics; Statistics; Computer science","score_opus":0.03267736626736547,"score_gpt":0.3464256998819425,"score_spread":0.31374833361457705,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087238392","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54978764,0.0032722913,0.23906071,0.0039187325,0.0010412901,0.00008538452,0.00054325844,0.00043169843,0.20185897],"genre_scores_gemma":[0.9464683,0.001955162,0.015958132,0.00048001617,0.0007617065,0.00005916263,0.00018357915,0.000060779264,0.034073226],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995926,0.00009723954,0.000022128199,0.00009839253,0.000111323134,0.00007826206],"domain_scores_gemma":[0.998992,0.00021757359,0.00018004641,0.000107286614,0.00018243336,0.00032065873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079809804,0.00070299767,0.0006440249,0.003550626,0.0010284308,0.0029158653,0.00052139745,0.00059057644,0.009066575],"category_scores_gemma":[0.0017998994,0.00038926268,0.00041917874,0.0027142998,0.0021768617,0.003008239,0.002351495,0.0014502532,0.0010301159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001818499,0.000011191445,0.00023372259,0.000018902925,0.000008155214,0.000052901385,0.000072762305,0.0001969097,0.0011771469,0.9919012,0.0007974353,0.0055114655],"study_design_scores_gemma":[0.000014410625,0.000018471925,0.0008639777,0.000014604569,0.000020418225,0.00043469138,0.000104007944,0.0021463907,0.0015375036,0.98683816,0.007988835,0.000018489885],"about_ca_topic_score_codex":0.00021578064,"about_ca_topic_score_gemma":0.00023672597,"teacher_disagreement_score":0.009066575,"about_ca_system_score_codex":0.00071572134,"about_ca_system_score_gemma":0.00046919493,"threshold_uncertainty_score":0.030330718},"labels":[],"label_agreement":null},{"id":"W2087304644","doi":"10.1016/j.aim.2006.02.008","title":"Universally meager sets and principles of generic continuity and selection in Banach spaces","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Banach space; Differentiable function; Context (archaeology); Selection (genetic algorithm); Pure mathematics; Eberlein–Šmulian theorem; Lp space; Computer science","score_opus":0.017471799612108225,"score_gpt":0.29208370072729867,"score_spread":0.27461190111519046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087304644","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28977337,0.010270146,0.59113866,0.0075353603,0.0003661767,0.00008043618,0.00033326307,0.00027821164,0.10022444],"genre_scores_gemma":[0.9453686,0.0022091507,0.043628786,0.00046745228,0.000493255,0.00011513435,0.00015054937,0.000052532734,0.007514655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99846447,0.00053476956,0.00011100286,0.00033760574,0.00038930995,0.00016283378],"domain_scores_gemma":[0.9959169,0.0027386327,0.00028706412,0.00043115957,0.00034347345,0.00028273682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0042847013,0.00062713603,0.0011940303,0.0024346227,0.0024740323,0.0041024145,0.0013618052,0.0017500435,0.0021795325],"category_scores_gemma":[0.0067084595,0.0007025141,0.0012235676,0.0024958313,0.010958249,0.009257104,0.004217586,0.004749246,0.00019825072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004539944,0.00000289652,0.000076455006,0.000008644881,0.0000034505151,0.000013418457,0.00011025366,0.00022395876,0.00008679084,0.998509,0.00009210588,0.00086848054],"study_design_scores_gemma":[0.0000040103,0.000004644055,0.00010990864,0.000003120197,0.000002427302,0.000022690903,0.000034882767,0.00055683666,0.000051923747,0.9985066,0.0007000594,0.0000028061468],"about_ca_topic_score_codex":0.001188322,"about_ca_topic_score_gemma":0.0011231413,"teacher_disagreement_score":0.0042847013,"about_ca_system_score_codex":0.002025611,"about_ca_system_score_gemma":0.00083102245,"threshold_uncertainty_score":0.022659898},"labels":[],"label_agreement":null},{"id":"W2089169620","doi":"10.1016/j.aim.2011.12.022","title":"Fourier–Stieltjes algebra of a topological group","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Locally compact group; Group algebra; Locally compact space; Algebra over a field; Topological group; Pure mathematics; Compact group; Topological algebra; Discrete mathematics; Combinatorics; Topology (electrical circuits); Topological space","score_opus":0.053072724744093226,"score_gpt":0.3924997856868096,"score_spread":0.33942706094271635,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089169620","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68751687,0.0016429288,0.19749098,0.003422404,0.0013733743,0.00008410643,0.00049644004,0.00031482754,0.10765806],"genre_scores_gemma":[0.9427313,0.00071586325,0.025544297,0.00040616392,0.0010523568,0.00006255317,0.00024602193,0.000086418346,0.029155012],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936837,0.00016436429,0.000036269976,0.00011453836,0.00019772643,0.00011880723],"domain_scores_gemma":[0.99912447,0.00021592385,0.0001491274,0.00009011885,0.00018985686,0.00023051751],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013121995,0.001072296,0.0011836494,0.003546837,0.002042893,0.0021980875,0.001261446,0.001437871,0.007635588],"category_scores_gemma":[0.0016751295,0.00036932476,0.0011205955,0.0015670193,0.0044809333,0.0039365776,0.0015263371,0.0021288695,0.00083463406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022059945,0.000019349096,0.0000785142,0.0000139114545,0.000007844066,0.00007224794,0.00014436124,0.00051222695,0.00084772415,0.9959479,0.00026038336,0.0020735362],"study_design_scores_gemma":[0.000020534662,0.000045044548,0.00029145268,0.000008265022,0.000011537448,0.0002770472,0.000096152326,0.007187103,0.00077673286,0.98891324,0.002347242,0.000025576914],"about_ca_topic_score_codex":0.0012175397,"about_ca_topic_score_gemma":0.0008058129,"teacher_disagreement_score":0.007635588,"about_ca_system_score_codex":0.0015606238,"about_ca_system_score_gemma":0.0012048755,"threshold_uncertainty_score":0.02554363},"labels":[],"label_agreement":null},{"id":"W2089189975","doi":"10.1016/j.aim.2009.08.006","title":"On the chromatic number of random d-regular graphs","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Combinatorics; Chromatic scale; Random graph; Integer (computer science); Discrete mathematics; Value (mathematics); Graph; Statistics","score_opus":0.01292752373686247,"score_gpt":0.3047185920263187,"score_spread":0.2917910682894562,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089189975","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8731697,0.0022677677,0.073484965,0.0057897773,0.00027309914,0.00007858507,0.00086056005,0.00037655473,0.04369897],"genre_scores_gemma":[0.9847514,0.0009567698,0.007724195,0.0003701501,0.00028379814,0.00010716258,0.00036791692,0.00015789224,0.005280616],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861217,0.0005551462,0.000044415356,0.00034069427,0.00025147086,0.00019610453],"domain_scores_gemma":[0.9676216,0.024130514,0.002783958,0.001839833,0.0011420646,0.002481936],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003019808,0.00079966977,0.0013110626,0.0055048787,0.0021512716,0.0040240814,0.0029755034,0.0018440228,0.007821052],"category_scores_gemma":[0.022881245,0.00093532214,0.0006295111,0.0028598758,0.0065067043,0.0065034223,0.0029913012,0.00262678,0.00045924025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041524676,0.00008068579,0.0034585241,0.0001650629,0.000045363475,0.00007934402,0.00042247213,0.043218717,0.0033017397,0.93564516,0.0050211977,0.008146634],"study_design_scores_gemma":[0.000091257934,0.00004551842,0.002342183,0.00008629809,0.000037743943,0.00013800382,0.00019088693,0.1926601,0.0012330201,0.8010629,0.0020412386,0.00007090623],"about_ca_topic_score_codex":0.0031904501,"about_ca_topic_score_gemma":0.0034403952,"teacher_disagreement_score":0.007821052,"about_ca_system_score_codex":0.0048954347,"about_ca_system_score_gemma":0.0012153769,"threshold_uncertainty_score":0.035519004},"labels":[],"label_agreement":null},{"id":"W2089506760","doi":"10.1016/j.aim.2011.01.006","title":"Representations on the cohomology of hypersurfaces and mirror symmetry","year":2011,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Hypersurface; Mathematics; Pure mathematics; Cohomology; Mirror symmetry; Quotient; Toric variety; Gravitational singularity; Degenerate energy levels; Conjecture; Variety (cybernetics); Invariant (physics); Symmetry (geometry); Dimension (graph theory); Algebra over a field; Mathematical analysis; Geometry; Physics; Mathematical physics","score_opus":0.06111184138188672,"score_gpt":0.3444173331308836,"score_spread":0.2833054917489969,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089506760","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72118056,0.0026705062,0.07636786,0.0062649,0.0008932484,0.0000604078,0.00046522712,0.00027411466,0.19182314],"genre_scores_gemma":[0.9740767,0.0007818699,0.0056928704,0.0002575259,0.000773538,0.00002405019,0.00017473634,0.000056430414,0.018162334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955195,0.00011289674,0.00001889501,0.000056974633,0.00017417203,0.000085001884],"domain_scores_gemma":[0.99939454,0.00015033736,0.00011464332,0.00008955131,0.000100943864,0.00015005148],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006112911,0.0006657267,0.00066769775,0.0018801751,0.0011247579,0.0026273371,0.0007770531,0.00093279727,0.006981066],"category_scores_gemma":[0.0016522715,0.00022939187,0.00055145455,0.0010515337,0.0025052307,0.005107636,0.0021186532,0.0017589579,0.0006405599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000107009955,0.000009400706,0.00009031795,0.000009439535,0.0000023023936,0.000044838984,0.00011248733,0.00033713336,0.00043281104,0.9961551,0.0005123435,0.002283188],"study_design_scores_gemma":[0.000006313363,0.000009004404,0.00015780728,0.0000035522864,0.0000014845223,0.00006982151,0.000058807942,0.0017215562,0.00010987168,0.99672973,0.0011270485,0.0000048433662],"about_ca_topic_score_codex":0.00083094684,"about_ca_topic_score_gemma":0.0005019172,"teacher_disagreement_score":0.006981066,"about_ca_system_score_codex":0.0010098289,"about_ca_system_score_gemma":0.0004327119,"threshold_uncertainty_score":0.023353994},"labels":[],"label_agreement":null},{"id":"W2089796676","doi":"10.1016/j.aim.2007.06.013","title":"The global decomposition theorem for Hochschild (co-)homology of singular spaces via the Atiyah–Chern character","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Hochschild homology; Mathematics; Homomorphism; Morphism; Pure mathematics; Cohomology; Homology (biology); Affine transformation; Character (mathematics); Discrete mathematics; Algebra over a field; Geometry","score_opus":0.013904480423212049,"score_gpt":0.3440744000344157,"score_spread":0.3301699196112036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089796676","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41924077,0.0032982645,0.31024283,0.006113725,0.0009665304,0.00009203512,0.0004955117,0.0005864523,0.2589639],"genre_scores_gemma":[0.95025223,0.0010142984,0.014764986,0.00070944894,0.0009137286,0.0000697013,0.00034213724,0.00016392644,0.031769592],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994523,0.00009315243,0.000025994506,0.00016917828,0.00014379379,0.00011556182],"domain_scores_gemma":[0.9993525,0.0001736585,0.00007869616,0.00010077841,0.00011248671,0.00018182409],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001164225,0.0009929177,0.0009854669,0.002760808,0.001632475,0.003451527,0.00088914426,0.0011731527,0.0072024087],"category_scores_gemma":[0.0012904322,0.00047752078,0.0010715976,0.0011607048,0.004136735,0.00786305,0.0034981123,0.003739525,0.00095812755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014648005,0.000011273338,0.00016064974,0.000018758363,0.000007958888,0.000030964406,0.00019300981,0.00017433026,0.0006809913,0.9947365,0.00062743213,0.003343448],"study_design_scores_gemma":[0.000008007423,0.00001117062,0.00039378618,0.0000062135455,0.0000076245915,0.000072663905,0.00006346193,0.0011293624,0.0004169173,0.9960731,0.0018099702,0.0000076414935],"about_ca_topic_score_codex":0.0006601646,"about_ca_topic_score_gemma":0.0005340969,"teacher_disagreement_score":0.0072024087,"about_ca_system_score_codex":0.0013425855,"about_ca_system_score_gemma":0.0004781546,"threshold_uncertainty_score":0.024094462},"labels":[],"label_agreement":null},{"id":"W2090041209","doi":"10.1016/j.aim.2013.01.013","title":"Brunn–Minkowski and Zhang inequalities for convolution bodies","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Junta de Andalucía; Ministerio de Ciencia e Innovación; University of Alberta","keywords":"Mathematics; Convolution (computer science); Minkowski space; Regular polygon; Extension (predicate logic); Zhàng; Minkowski addition; Pure mathematics; Mathematical analysis; Geometry; Artificial intelligence; Computer science","score_opus":0.049640226135801636,"score_gpt":0.3393679121659868,"score_spread":0.2897276860301851,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090041209","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.086707614,0.014472647,0.77367646,0.009115909,0.0011491921,0.00006930852,0.00068155496,0.00018241948,0.11394485],"genre_scores_gemma":[0.76250243,0.010734225,0.15179598,0.0032390465,0.0023283567,0.00027842168,0.00087021344,0.00030856466,0.06794282],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99860615,0.00045110114,0.00008260595,0.0002855435,0.00037161706,0.00020296435],"domain_scores_gemma":[0.99598926,0.0022455568,0.00044430088,0.0003045736,0.00061581854,0.00040050186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0040811235,0.0015814397,0.0016513303,0.003079756,0.0015639435,0.0032101367,0.0019399611,0.002585665,0.006641103],"category_scores_gemma":[0.011376341,0.00064286316,0.0020701361,0.0027668604,0.0050041927,0.008617755,0.0040910374,0.006374745,0.0006989131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002295436,0.0000061282976,0.000099911376,0.00003598302,0.000011334941,0.000031059855,0.000082149665,0.0010975604,0.00045210682,0.99461913,0.00079538027,0.0027461967],"study_design_scores_gemma":[0.000008449432,0.000008452641,0.00027145757,0.000011527185,0.000013163718,0.000050572304,0.000039706698,0.009139977,0.00027256136,0.98635966,0.0038099384,0.000014587689],"about_ca_topic_score_codex":0.0025264504,"about_ca_topic_score_gemma":0.001936045,"teacher_disagreement_score":0.006641103,"about_ca_system_score_codex":0.0029956787,"about_ca_system_score_gemma":0.0011722903,"threshold_uncertainty_score":0.022216678},"labels":[],"label_agreement":null},{"id":"W2091837991","doi":"10.1016/j.aim.2012.09.013","title":"Erratum to “Resolution except for minimal singularities I” [Adv. Math. 231 (2012) 3022–3053]","year":2012,"lang":"en","type":"erratum","venue":"Advances in Mathematics","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Mathematics; Gravitational singularity; Resolution of singularities; Resolution (logic); Pure mathematics; Algebra over a field; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.03311306217394203,"score_gpt":0.3252598933539569,"score_spread":0.29214683118001483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091837991","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0003695086,0.0055143693,0.002388452,0.067263804,0.8849418,0.000057203513,0.0014145602,0.00061404164,0.037436176],"genre_scores_gemma":[0.01784389,0.025507914,0.01127451,0.1256011,0.29262266,0.00032786446,0.0057645184,0.0031930774,0.5178645],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9964432,0.0005142628,0.0005793264,0.00059214665,0.0015662956,0.00030471708],"domain_scores_gemma":[0.99355125,0.0016766416,0.0005088878,0.0006583862,0.00320325,0.0004015125],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025527512,0.0029933867,0.002434903,0.0043331683,0.004873905,0.0042790435,0.0046976516,0.005574327,0.06514017],"category_scores_gemma":[0.02044416,0.0012929664,0.002050811,0.0028503907,0.0033004563,0.0060005262,0.0023854054,0.009034954,0.04570869],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033815715,0.000007174277,0.000025454847,0.0001263956,0.00001095591,0.00009116053,0.000024028195,0.00004052649,0.000065032356,0.0045262575,0.9899018,0.0051473295],"study_design_scores_gemma":[0.000032841443,0.000035345933,0.00054650195,0.0003355941,0.00004287848,0.00036645736,0.0000691483,0.00026132306,0.00045868894,0.011560961,0.98623484,0.000055460147],"about_ca_topic_score_codex":0.007823636,"about_ca_topic_score_gemma":0.009326802,"teacher_disagreement_score":0.06514017,"about_ca_system_score_codex":0.0039492766,"about_ca_system_score_gemma":0.0034530724,"threshold_uncertainty_score":0.2179156},"labels":[],"label_agreement":null},{"id":"W2092422457","doi":"10.1016/j.aim.2006.03.003","title":"Brill–Gordan loci, transvectants and an analogue of the Foulkes conjecture","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba; University of British Columbia","funders":"University of British Columbia; Centre National de la Recherche Scientifique","keywords":"Mathematics; Combinatorics; Conjecture; Subvariety; Hyperplane; Ideal (ethics); Pure mathematics; Variety (cybernetics)","score_opus":0.014487197651310253,"score_gpt":0.3100875465823759,"score_spread":0.2956003489310657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2092422457","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5750332,0.003412008,0.058580074,0.014608879,0.0012470535,0.00003497188,0.0004141863,0.00057313463,0.3460965],"genre_scores_gemma":[0.96428365,0.0007644922,0.005798569,0.0007489424,0.0005579873,0.000030712872,0.00019678623,0.0001126549,0.027506292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993499,0.0001482568,0.000025342812,0.00014534353,0.00018775728,0.00014343421],"domain_scores_gemma":[0.9984927,0.00064189127,0.00023501068,0.00024206826,0.00016570474,0.0002227032],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097327336,0.0006742204,0.0010144743,0.0021222045,0.002702686,0.0032573643,0.0014082943,0.0023886713,0.011185628],"category_scores_gemma":[0.0046111434,0.00048508713,0.00084620476,0.0013464533,0.0055786157,0.0072228545,0.0032838834,0.004484764,0.0012446649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002880514,0.000008071196,0.00014403558,0.000020143527,0.000004883458,0.00007707251,0.00015761104,0.00030861748,0.00028347,0.9956155,0.0012320888,0.002119759],"study_design_scores_gemma":[0.000011196134,0.000006570429,0.00014999318,0.000006392995,0.0000033227398,0.00009197054,0.000085240266,0.00076438586,0.0001492613,0.99671954,0.002005029,0.0000070972574],"about_ca_topic_score_codex":0.0017270895,"about_ca_topic_score_gemma":0.0010847037,"teacher_disagreement_score":0.011185628,"about_ca_system_score_codex":0.0012655931,"about_ca_system_score_gemma":0.00044192348,"threshold_uncertainty_score":0.037419617},"labels":[],"label_agreement":null},{"id":"W2093224788","doi":"10.1016/j.aim.2014.07.039","title":"Computable Carathéodory Theory","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; Natural Sciences and Engineering Research Council of Canada; Universidad de Chile","keywords":"Mathematics; Constructive; Riemann hypothesis; Riemann sphere; Unit disk; Conformal map; Geometric function theory; Boundary (topology); Pure mathematics; Extension (predicate logic); Domain (mathematical analysis); Unit (ring theory); Algebra over a field; Mathematical analysis; Riemann surface; Process (computing); Mathematics education; Computer science","score_opus":0.01617697573353388,"score_gpt":0.3124823383627405,"score_spread":0.2963053626292066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093224788","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11058984,0.008374569,0.7349478,0.0076735993,0.0010636981,0.000054811455,0.00061568845,0.00088958826,0.13579053],"genre_scores_gemma":[0.87517816,0.003950293,0.086302355,0.0009354883,0.001035496,0.000097460594,0.00052118837,0.0003125778,0.03166698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992132,0.00017700912,0.000047495465,0.00021030438,0.0002678134,0.00008413013],"domain_scores_gemma":[0.9974191,0.0014313313,0.00014267486,0.00050608785,0.0003390857,0.00016161801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009681397,0.0009879816,0.0014105876,0.0024933883,0.0015730095,0.004258069,0.0010329678,0.0013694083,0.009025532],"category_scores_gemma":[0.0043112193,0.00042299772,0.0010981241,0.0018443528,0.0043518054,0.01090441,0.0029349644,0.004485545,0.0011766708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030197211,0.000002453471,0.00002447966,0.000014514137,0.0000018035671,0.000009739881,0.00003900447,0.00017281335,0.00008371983,0.9975561,0.00034834162,0.001743844],"study_design_scores_gemma":[0.0000031009681,0.0000035171227,0.00003965584,0.000007989463,0.0000024799867,0.00003952275,0.000016363387,0.0010677894,0.00013431963,0.9942524,0.0044286735,0.000004210496],"about_ca_topic_score_codex":0.00063367444,"about_ca_topic_score_gemma":0.00040213758,"teacher_disagreement_score":0.009025532,"about_ca_system_score_codex":0.0021377718,"about_ca_system_score_gemma":0.0007569246,"threshold_uncertainty_score":0.030193448},"labels":[],"label_agreement":null},{"id":"W2093253442","doi":"10.1016/j.aim.2005.07.009","title":"Borel subgroups of Polish groups","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Uncountable set; Abelian group; Countable set; Combinatorics; Rank (graph theory); Group (periodic table); Second-countable space; Discrete mathematics","score_opus":0.018227161710094475,"score_gpt":0.32969440484461704,"score_spread":0.31146724313452256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093253442","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67667997,0.013120164,0.11440641,0.009120115,0.0009356849,0.00011827544,0.00074641535,0.00063478557,0.18423818],"genre_scores_gemma":[0.946676,0.0025749374,0.009224926,0.0005123678,0.0006398206,0.00011931844,0.0005024704,0.00009905223,0.039650984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995048,0.00009965065,0.000035139823,0.00011373908,0.00015782511,0.00008871849],"domain_scores_gemma":[0.9994054,0.00020808347,0.0000909934,0.00008136676,0.000079564335,0.00013456999],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067511445,0.0009957218,0.0010783949,0.0022673665,0.0014989297,0.0042830743,0.0007596905,0.00094614405,0.0051268903],"category_scores_gemma":[0.0015488842,0.00056661776,0.0006746748,0.0021843382,0.0035487518,0.0061453134,0.0030439731,0.0025342132,0.0008153819],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025247895,0.000010092568,0.00020136952,0.000021855192,0.00000855642,0.0000438981,0.00045525943,0.00014004987,0.0007373817,0.9952093,0.000439804,0.0027071906],"study_design_scores_gemma":[0.000017288181,0.000011506892,0.0003277138,0.000008881015,0.000016367525,0.00006329413,0.00022730639,0.00058376143,0.00032538408,0.9913223,0.007089597,0.0000066665098],"about_ca_topic_score_codex":0.0013290776,"about_ca_topic_score_gemma":0.00096306234,"teacher_disagreement_score":0.0051268903,"about_ca_system_score_codex":0.0014570929,"about_ca_system_score_gemma":0.0006028478,"threshold_uncertainty_score":0.017151177},"labels":[],"label_agreement":null},{"id":"W2093667900","doi":"10.1016/j.aim.2010.07.005","title":"Permutahedra and generalized associahedra","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":131,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick; Université du Québec à Montréal","funders":"","keywords":"Coxeter group; Uniform k 21 polytope; Mathematics; Combinatorics; Weyl group; Coxeter element; Longest element of a Coxeter group; Coxeter complex; Coxeter graph; Artin group; Graph; Geometry; Line graph; Voltage graph; Regular polygon","score_opus":0.01736687274190663,"score_gpt":0.33630852792809723,"score_spread":0.3189416551861906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093667900","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43199185,0.0062929043,0.23934363,0.0072346493,0.00831286,0.00013240067,0.00059139257,0.0005620512,0.3055382],"genre_scores_gemma":[0.8977727,0.0024074046,0.03468792,0.0024138186,0.0039336868,0.0001984242,0.00030117691,0.00021248724,0.058072284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99823797,0.0004961703,0.00013632872,0.00040291622,0.00045187265,0.00027474025],"domain_scores_gemma":[0.9981061,0.0006184758,0.00024772694,0.00045943138,0.0003398073,0.00022836373],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015519151,0.0012019748,0.0015756907,0.0028556786,0.0038475702,0.004274316,0.0014101061,0.0018352965,0.009026735],"category_scores_gemma":[0.0032008793,0.0007424867,0.0015888414,0.002752242,0.0082335705,0.007376209,0.0039024316,0.0048777894,0.0015361608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010148793,0.0000048086576,0.00003231058,0.000008574624,0.0000033875879,0.000034484397,0.00010539623,0.000057412006,0.000115093986,0.9973617,0.00035990207,0.0019068528],"study_design_scores_gemma":[0.000006489472,0.000006707376,0.000054989287,0.0000046888263,0.000004962723,0.00012230345,0.000038771388,0.00032531843,0.000088098765,0.9965892,0.0027502025,0.000008459364],"about_ca_topic_score_codex":0.00049402606,"about_ca_topic_score_gemma":0.00045808248,"teacher_disagreement_score":0.009026735,"about_ca_system_score_codex":0.0010147241,"about_ca_system_score_gemma":0.0006489652,"threshold_uncertainty_score":0.030197442},"labels":[],"label_agreement":null},{"id":"W2094420154","doi":"10.1016/j.aim.2012.06.024","title":"Two-dimensional moduli spaces of vector bundles over Kodaira surfaces","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Kodaira dimension; Vector bundle; Moduli space; Mathematics; Pure mathematics; Surface (topology); Moduli; Geometry; Physics","score_opus":0.022066816164330833,"score_gpt":0.31213471176028573,"score_spread":0.2900678955959549,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094420154","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8755007,0.0016466726,0.029327339,0.0019398681,0.00033631854,0.000059966438,0.00031557144,0.00035994756,0.09051356],"genre_scores_gemma":[0.9797364,0.00061322225,0.0046792184,0.000129415,0.00025924342,0.000038045146,0.00024265543,0.000060799102,0.014240934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992384,0.0001388814,0.00006278989,0.00012272157,0.00025248405,0.00018478204],"domain_scores_gemma":[0.9993105,0.00013682472,0.00012027721,0.000056818346,0.00008136896,0.0002941352],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008478376,0.0011901769,0.00097427634,0.0037597765,0.0023419613,0.0060004806,0.0009364942,0.0013358505,0.0072299223],"category_scores_gemma":[0.0012884286,0.0006685408,0.0007580936,0.0020867109,0.0032450426,0.0075382134,0.0031909232,0.002319909,0.0007846547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000077209814,0.000038365586,0.0003741188,0.000029932455,0.000012836385,0.000121176636,0.0005335821,0.00043493375,0.0017015116,0.9934135,0.00041036788,0.0028525384],"study_design_scores_gemma":[0.000047052665,0.0000537489,0.0010834505,0.000023511293,0.000025363335,0.00035655082,0.00050785096,0.0037267914,0.001373304,0.98924446,0.0035225328,0.000035351895],"about_ca_topic_score_codex":0.0006925572,"about_ca_topic_score_gemma":0.00047657493,"teacher_disagreement_score":0.0072299223,"about_ca_system_score_codex":0.0012173012,"about_ca_system_score_gemma":0.00055600354,"threshold_uncertainty_score":0.024186492},"labels":[],"label_agreement":null},{"id":"W2094938771","doi":"10.1016/j.aim.2005.07.011","title":"Cylindric skew Schur functions","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Schur product theorem; Schur's theorem; Skew; Schur's lemma; Schur decomposition; Schur algebra; Conjecture; Schur polynomial; Schur complement; Pure mathematics; Combinatorics; Macdonald polynomials; Orthogonal polynomials; Computer science","score_opus":0.026002622063856846,"score_gpt":0.33735790841358165,"score_spread":0.3113552863497248,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094938771","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3964702,0.0012795461,0.15643342,0.0015498123,0.0011730968,0.00010999456,0.0005625068,0.00072599144,0.44169548],"genre_scores_gemma":[0.90249765,0.0009165293,0.018036848,0.00048684835,0.00074325793,0.00006067188,0.0003665,0.00025737088,0.07663445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994822,0.000091215705,0.000021237302,0.000067522386,0.0002515692,0.00008635117],"domain_scores_gemma":[0.999041,0.00021063944,0.00012571499,0.0001279146,0.00028586815,0.00020884901],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005063931,0.0008183371,0.00065948325,0.0028207586,0.0019087056,0.002574349,0.0006870496,0.0007744653,0.010902683],"category_scores_gemma":[0.0015961302,0.00037157262,0.0006308531,0.0021079627,0.0020438917,0.0025587075,0.0011172594,0.002077988,0.0025239042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021802718,0.0000069476723,0.000074477706,0.000011052337,0.000001979567,0.000061019666,0.000072762836,0.00027765217,0.0014222312,0.9926542,0.0012907372,0.0041050436],"study_design_scores_gemma":[0.000013924914,0.000025774143,0.00054204615,0.000010442037,0.000009134062,0.000544108,0.00008687539,0.004222529,0.003135201,0.979879,0.01149929,0.000031672273],"about_ca_topic_score_codex":0.0008952718,"about_ca_topic_score_gemma":0.0014557054,"teacher_disagreement_score":0.010902683,"about_ca_system_score_codex":0.001274549,"about_ca_system_score_gemma":0.0006499782,"threshold_uncertainty_score":0.036473095},"labels":[],"label_agreement":null},{"id":"W2095115536","doi":"10.1006/aima.2001.2006","title":"The Automorphisms of Affine Fusion Rings","year":2002,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Automorphism; Affine transformation; Pure mathematics; Fusion; Automorphisms of the symmetric and alternating groups; Algebra over a field; Linguistics","score_opus":0.02364787618044513,"score_gpt":0.283596214662474,"score_spread":0.25994833848202886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095115536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7706577,0.0034950187,0.08269884,0.0035873821,0.00067347084,0.000078673176,0.00031232552,0.00030138443,0.13819517],"genre_scores_gemma":[0.978834,0.0011812727,0.005296698,0.00021421575,0.0005810872,0.000033499935,0.0001390357,0.000036291563,0.013684062],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993844,0.00017060046,0.000036528472,0.00012201127,0.00015391226,0.00013249289],"domain_scores_gemma":[0.9989242,0.0003904262,0.00023071983,0.00015193905,0.00012568351,0.0001769456],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010680477,0.00054815965,0.0007153746,0.0019170409,0.0019698257,0.0026554326,0.0006024988,0.0010252564,0.00350548],"category_scores_gemma":[0.002290053,0.00048172803,0.0010892905,0.0012729258,0.0053611603,0.0047815717,0.0017798032,0.0023977184,0.0005459821],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019869425,0.000008609137,0.00013188619,0.000007873035,0.0000032909647,0.000033657787,0.00020594196,0.0005332358,0.0004043008,0.9960699,0.00028799262,0.00229346],"study_design_scores_gemma":[0.000008495738,0.000014246204,0.00022639439,0.000003740102,0.0000044323792,0.00005939718,0.0000601925,0.00093937165,0.0002463725,0.9964011,0.0020291936,0.000007135037],"about_ca_topic_score_codex":0.0010512257,"about_ca_topic_score_gemma":0.00051768555,"teacher_disagreement_score":0.00350548,"about_ca_system_score_codex":0.0013097329,"about_ca_system_score_gemma":0.00062209624,"threshold_uncertainty_score":0.011726975},"labels":[],"label_agreement":null},{"id":"W2095373260","doi":"10.1016/j.aim.2005.11.012","title":"Hermitian representations of the extended affine Lie algebra <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:mover accent=\"true\"><mml:mrow><mml:msub><mml:mi mathvariant=\"fraktur\">gl</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mi mathvariant=\"double-struck\">C</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow><mml:mo>˜</mml:mo></mml:mover></mml:math>","year":2006,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Hermitian matrix; Covariance and contravariance of vectors; Algebra over a field; Affine transformation; Lie algebra; Pure mathematics; Stress (linguistics); Computer science","score_opus":0.015719565868259767,"score_gpt":0.25690731739649214,"score_spread":0.24118775152823238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095373260","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38335165,0.0015521084,0.24742658,0.0027932199,0.0010766063,0.000093174116,0.00092424086,0.00095949473,0.361823],"genre_scores_gemma":[0.86535305,0.00071471254,0.021144489,0.00047427602,0.00058328186,0.00004343647,0.0005546998,0.00020732898,0.11092465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961096,0.000084749016,0.000019797626,0.00006728911,0.00014483776,0.000072494164],"domain_scores_gemma":[0.9995788,0.00004819161,0.00007817348,0.0000657939,0.00011820753,0.0001108637],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003911104,0.00047908715,0.00035580614,0.0009915815,0.00070114865,0.0019002834,0.00055269094,0.00049730734,0.020478174],"category_scores_gemma":[0.0008630361,0.00020829619,0.00042649885,0.00078620896,0.0012287498,0.0022026992,0.0010450836,0.0010176697,0.0031596664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019740577,0.0000148610625,0.00012054124,0.000016682216,0.0000050545923,0.000094534356,0.000123586,0.0010235297,0.0009364491,0.9876223,0.0026139738,0.0074087665],"study_design_scores_gemma":[0.000020143409,0.000047330628,0.0005185288,0.000010364529,0.0000046295563,0.00018475512,0.00014896461,0.011063693,0.0009112987,0.9745462,0.012520151,0.000024046278],"about_ca_topic_score_codex":0.0014432404,"about_ca_topic_score_gemma":0.0011992251,"teacher_disagreement_score":0.020478174,"about_ca_system_score_codex":0.0006579668,"about_ca_system_score_gemma":0.00054318534,"threshold_uncertainty_score":0.06850624},"labels":[],"label_agreement":null},{"id":"W2104003784","doi":"10.1016/j.aim.2005.01.008","title":"Towards the geometry of double Hurwitz numbers","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematics and Applications","field":"Mathematics","cited_by":142,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Geometry; Pure mathematics; Algebra over a field","score_opus":0.044484606013754716,"score_gpt":0.3600733263922647,"score_spread":0.31558872037851,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2104003784","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3549576,0.0063347975,0.3007034,0.007835822,0.0018001123,0.00006026658,0.0002772265,0.0004606128,0.32757014],"genre_scores_gemma":[0.9144072,0.0029028426,0.03940146,0.0007531113,0.0011944316,0.000034614684,0.00020498384,0.00015139634,0.040950008],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995376,0.00012290207,0.000016729196,0.00007183185,0.000192469,0.000058593687],"domain_scores_gemma":[0.9991373,0.00031426578,0.00008858349,0.00009741973,0.00019918878,0.00016328074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007952402,0.0007554877,0.000532398,0.0023280769,0.0010389745,0.0026235473,0.0007437372,0.0006421241,0.005217829],"category_scores_gemma":[0.0027297358,0.00038302533,0.0003726757,0.0008399644,0.0035125162,0.003902504,0.002472576,0.0031590443,0.0010851998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008962528,0.0000040564755,0.00008270802,0.000015419457,0.0000015275208,0.0000249671,0.00016090643,0.00041014297,0.0004699098,0.9942027,0.00071958406,0.0038991126],"study_design_scores_gemma":[0.0000039634874,0.000010010209,0.0001258882,0.000007948492,0.000001340735,0.000046029483,0.000078872115,0.0020394202,0.00026401185,0.99125767,0.0061592767,0.0000055986206],"about_ca_topic_score_codex":0.00088727684,"about_ca_topic_score_gemma":0.00070022716,"teacher_disagreement_score":0.005217829,"about_ca_system_score_codex":0.0011459275,"about_ca_system_score_gemma":0.00051682425,"threshold_uncertainty_score":0.01745534},"labels":[],"label_agreement":null},{"id":"W2106699380","doi":"10.1016/j.aim.2007.08.015","title":"The <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mi mathvariant=\"script\">Q</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math> Carleson measure problem","year":2007,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":82,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Scroll; Compact space; Quadratic equation; Embedding; Type (biology); Space (punctuation); Algorithm; Discrete mathematics; Pure mathematics; Geometry; Artificial intelligence; Computer science","score_opus":0.018798319128642813,"score_gpt":0.2599636493671376,"score_spread":0.2411653302384948,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2106699380","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0031678274,0.00077029096,0.18201783,0.010197008,0.0030259548,0.00025620952,0.06842015,0.031150743,0.70099396],"genre_scores_gemma":[0.033060078,0.00203486,0.14197397,0.0021803647,0.0016080189,0.000494313,0.08923634,0.04098699,0.68842506],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948114,0.00009389738,0.00004374069,0.00009901323,0.00024251963,0.000039804025],"domain_scores_gemma":[0.99861944,0.00035560594,0.00008929081,0.00034239967,0.00042925123,0.00016400949],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007026055,0.0009717511,0.000833245,0.0019529327,0.000982239,0.0042816084,0.0016442225,0.0011091843,0.41616058],"category_scores_gemma":[0.002993206,0.0006268379,0.0008471964,0.0029085057,0.0005883188,0.0053143674,0.0016092868,0.0025989793,0.29379168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044400946,0.000029733352,0.00013001965,0.00016900299,0.0000064616333,0.000036182708,0.000107023276,0.0002245197,0.0015927698,0.06888443,0.8813308,0.047444567],"study_design_scores_gemma":[0.000026936517,0.000013217304,0.0005643542,0.00004270066,0.000005765485,0.00012184616,0.000063420855,0.0022304063,0.0043021203,0.049951863,0.94264776,0.000029681134],"about_ca_topic_score_codex":0.0038048194,"about_ca_topic_score_gemma":0.0039208285,"teacher_disagreement_score":0.41616058,"about_ca_system_score_codex":0.0015376807,"about_ca_system_score_gemma":0.0010976368,"threshold_uncertainty_score":0.83277607},"labels":[],"label_agreement":null},{"id":"W2107382982","doi":"10.1016/j.aim.2007.05.019","title":"Random sorting networks","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":81,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Toronto","funders":"","keywords":"Mathematics; Lebesgue measure; Random permutation; Cayley graph; Combinatorics; Sorting network; Permutation matrix; Sorting; Permutation (music); Measure (data warehouse); Connection (principal bundle); Product (mathematics); Discrete mathematics; Graph; Lebesgue integration; Sorting algorithm; Symmetric group; Geometry; Algorithm","score_opus":0.02044070301665871,"score_gpt":0.34674087183772484,"score_spread":0.3263001688210661,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107382982","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1724186,0.0025493146,0.67320627,0.00885031,0.00089123123,0.0003283081,0.0022753852,0.0019598033,0.13752073],"genre_scores_gemma":[0.78912455,0.0023432916,0.087494224,0.0019164461,0.0006052461,0.0005005398,0.0022533496,0.00041404375,0.11534832],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990152,0.00027655624,0.000042711596,0.00029200746,0.00024672202,0.00012664965],"domain_scores_gemma":[0.99628437,0.0017201914,0.0005031803,0.00064555363,0.00051349454,0.00033307256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008191496,0.00056291133,0.0009222878,0.0020150268,0.0013875901,0.0027560245,0.0012344045,0.0019194996,0.02145593],"category_scores_gemma":[0.008509685,0.0005510311,0.0007195025,0.0018171093,0.0014263245,0.0037019572,0.0015271642,0.001749438,0.0031311545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000089856316,0.000044454115,0.00044932318,0.000097008975,0.000027384407,0.00006436334,0.000059745773,0.023638457,0.0014855826,0.93021846,0.011643047,0.032182258],"study_design_scores_gemma":[0.000026043666,0.000027928922,0.00029382092,0.000027931957,0.000020805486,0.00011556406,0.000044991484,0.08780689,0.0011010171,0.89560276,0.014913925,0.00001828414],"about_ca_topic_score_codex":0.000985996,"about_ca_topic_score_gemma":0.0011891434,"teacher_disagreement_score":0.02145593,"about_ca_system_score_codex":0.0014945925,"about_ca_system_score_gemma":0.0010940483,"threshold_uncertainty_score":0.071777284},"labels":[],"label_agreement":null},{"id":"W2109997581","doi":"10.1016/j.aim.2008.11.016","title":"Crystals, quiver varieties, and coboundary categories for Kac–Moody algebras","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Quiver; Mathematics; Pure mathematics; Interpretation (philosophy); Involution (esoterism); Enriched category; Algebra over a field; Functor; Linguistics","score_opus":0.028547220364877692,"score_gpt":0.29593680651954524,"score_spread":0.26738958615466757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109997581","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6350997,0.007684633,0.09874922,0.0053065675,0.00094193104,0.00012296131,0.0004181496,0.0003510055,0.25132588],"genre_scores_gemma":[0.96602416,0.0012584287,0.008709104,0.00044820277,0.0005338497,0.00010548357,0.0002692182,0.00005630127,0.022595175],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992285,0.00017834264,0.00005439128,0.0001326745,0.00026814817,0.0001379936],"domain_scores_gemma":[0.9990357,0.00027731093,0.00013207947,0.000096517666,0.00019001604,0.0002683208],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011343234,0.0006557054,0.0012179507,0.0032662833,0.0052818577,0.006396468,0.0011110636,0.0017581868,0.0062800446],"category_scores_gemma":[0.0017283156,0.00058907684,0.0009360121,0.0021400424,0.005723041,0.0071397056,0.0031598136,0.00325285,0.00063231733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000064288342,0.00000900498,0.00009439826,0.000009318614,0.0000028181416,0.000025159128,0.0001702887,0.00009993203,0.00014106257,0.9982881,0.00032999078,0.0008235699],"study_design_scores_gemma":[0.0000061644187,0.0000047042317,0.0001237282,0.0000046777827,0.0000037244247,0.000047762052,0.00012627034,0.0005454403,0.00008696512,0.9978278,0.0012158331,0.000006763894],"about_ca_topic_score_codex":0.0023677545,"about_ca_topic_score_gemma":0.002121509,"teacher_disagreement_score":0.006396468,"about_ca_system_score_codex":0.0019384891,"about_ca_system_score_gemma":0.0012192399,"threshold_uncertainty_score":0.02100879},"labels":[],"label_agreement":null},{"id":"W2110073113","doi":"10.1016/j.aim.2007.01.011","title":"Dimension growth for<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mi>C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebras","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Scroll; Dimension (graph theory); Mathematics; Algorithm; Artificial intelligence; Computer science; Combinatorics; Theology; Philosophy","score_opus":0.022279797040372848,"score_gpt":0.29667002828461836,"score_spread":0.2743902312442455,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2110073113","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07116317,0.0020288192,0.29570162,0.008281317,0.0029392734,0.00018096856,0.015710752,0.010371517,0.5936225],"genre_scores_gemma":[0.52523875,0.0016934688,0.14053969,0.0017779385,0.0011794568,0.00036929207,0.015873197,0.009101881,0.30422634],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983902,0.00027099584,0.00008183496,0.000298389,0.0007348525,0.00022380274],"domain_scores_gemma":[0.9953556,0.0015527176,0.00016133055,0.000843433,0.0016064905,0.00048037615],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015665614,0.0006528968,0.00060591457,0.0027843944,0.0019959186,0.004726314,0.00093643897,0.00063176616,0.075332694],"category_scores_gemma":[0.0071742055,0.00046724922,0.0011963443,0.0014354084,0.0013039476,0.0063592633,0.0027963663,0.0034408106,0.021489108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007904863,0.000031959065,0.00089687604,0.000105920786,0.000012645584,0.000077064455,0.00033910945,0.0008954022,0.0024312704,0.8679444,0.102629356,0.024556857],"study_design_scores_gemma":[0.000028867564,0.000025919666,0.0017609353,0.000077691286,0.00002269667,0.00038690402,0.0002507968,0.021293923,0.011562685,0.79103744,0.17348069,0.00007142229],"about_ca_topic_score_codex":0.002846,"about_ca_topic_score_gemma":0.0029704678,"teacher_disagreement_score":0.075332694,"about_ca_system_score_codex":0.0023847579,"about_ca_system_score_gemma":0.0012929149,"threshold_uncertainty_score":0.25201297},"labels":[],"label_agreement":null},{"id":"W2112864977","doi":"10.1016/j.aim.2007.05.006","title":"Coincidences among skew Schur functions","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Skew; Mathematics; Diagram; Variety (cybernetics); Function (biology); Pure mathematics; STRIPS; Combinatorics; Algorithm; Statistics; Computer science","score_opus":0.0257596283886971,"score_gpt":0.34712704010056006,"score_spread":0.32136741171186295,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2112864977","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76163214,0.0008174053,0.16179484,0.0011627992,0.000460903,0.00006960831,0.0003489542,0.00045006475,0.07326332],"genre_scores_gemma":[0.97668684,0.0003465661,0.012477737,0.00015692959,0.00040585943,0.00005979551,0.00032158126,0.0001233719,0.009421237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99805236,0.00044978253,0.00013153198,0.0004077355,0.0006627693,0.00029574777],"domain_scores_gemma":[0.9940023,0.002530808,0.0009097238,0.00060380105,0.0010011498,0.00095230783],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022280887,0.0008946079,0.0014454598,0.007260901,0.0036045224,0.0042704684,0.0014038634,0.001618525,0.007881366],"category_scores_gemma":[0.010716866,0.0010525805,0.0012758985,0.0043724943,0.004639117,0.0076205935,0.003937692,0.0033020615,0.0008982106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045765806,0.0000111419085,0.00057353196,0.00001907688,0.0000069178714,0.00016442234,0.0001914195,0.00023298361,0.00038626156,0.99497885,0.0005712666,0.0028184676],"study_design_scores_gemma":[0.000012764479,0.000017705659,0.0005282857,0.000013543382,0.000012015776,0.0005261834,0.00012865177,0.0028418284,0.00054164516,0.9937913,0.001563543,0.000022656814],"about_ca_topic_score_codex":0.0005546628,"about_ca_topic_score_gemma":0.00048442313,"teacher_disagreement_score":0.007881366,"about_ca_system_score_codex":0.0015426296,"about_ca_system_score_gemma":0.00065489224,"threshold_uncertainty_score":0.026365817},"labels":[],"label_agreement":null},{"id":"W2113826709","doi":"10.1016/j.aim.2010.12.012","title":"An explicit counterexample to the Lagarias–Wang finiteness conjecture","year":2011,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Counterexample; Conjecture; Mathematics; Combinatorics; Finite set; Product (mathematics); Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.06623524780701291,"score_gpt":0.3623644832842457,"score_spread":0.2961292354772328,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113826709","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52521193,0.003298294,0.11428966,0.030032096,0.0020331596,0.000043755714,0.00068611844,0.00082013186,0.3235849],"genre_scores_gemma":[0.97293866,0.00066436146,0.0075217714,0.0013427145,0.00067153206,0.00004200742,0.0002489751,0.00009957679,0.016470373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951565,0.000106510146,0.00002423353,0.000113375565,0.00014321973,0.000097064454],"domain_scores_gemma":[0.99752194,0.0016476739,0.0002096235,0.00026140915,0.00016873948,0.00019061918],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094276736,0.00053710176,0.0008054252,0.0013556075,0.0017756613,0.0030018077,0.0012581485,0.0024847751,0.011867505],"category_scores_gemma":[0.005662517,0.0003489532,0.00061865797,0.0012171082,0.0035619861,0.0056416467,0.002915714,0.0028918956,0.00089788035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019175424,0.00000983764,0.00013137421,0.000021108706,0.0000032877351,0.00009257437,0.00008436198,0.00036596504,0.00030753706,0.99571794,0.0016807064,0.0015661031],"study_design_scores_gemma":[0.000014984057,0.0000047335952,0.00014993912,0.00000837199,0.000003971251,0.00013350903,0.00004019126,0.0030503685,0.00015651686,0.9937782,0.0026516863,0.000007511806],"about_ca_topic_score_codex":0.00059029425,"about_ca_topic_score_gemma":0.00050471205,"teacher_disagreement_score":0.011867505,"about_ca_system_score_codex":0.001013418,"about_ca_system_score_gemma":0.0004226813,"threshold_uncertainty_score":0.039700747},"labels":[],"label_agreement":null},{"id":"W2114041507","doi":"10.1016/j.aim.2012.02.023","title":"The homotopy groups of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>E</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:msub></mml:math> at <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:mi>p</mml:mi><mml:mo>⩾</mml:mo><mml:mn>5</mml:mn></mml:math> revisited","year":2012,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Northwestern University; Alfred P. Sloan Foundation; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Homotopy; Scroll; Homotopy group; Exact sequence; Algorithm; Combinatorics; Pure mathematics; Theology; Philosophy","score_opus":0.017553796688838354,"score_gpt":0.25733795076964333,"score_spread":0.23978415408080497,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114041507","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.049272016,0.002147788,0.12827465,0.006438146,0.0024682088,0.0001027781,0.0016651412,0.0018008308,0.80783033],"genre_scores_gemma":[0.4239272,0.0021587184,0.042111833,0.0011640288,0.0011436975,0.00019836282,0.0024492168,0.002041307,0.5248056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915814,0.00017634881,0.000051511175,0.00018096191,0.00026746682,0.00016559204],"domain_scores_gemma":[0.9986325,0.0003259074,0.00012016077,0.0002529569,0.0004599964,0.0002084624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060240633,0.0005597557,0.0004036647,0.002285635,0.0021477533,0.004246871,0.0009576999,0.0009700874,0.089583516],"category_scores_gemma":[0.0030882675,0.00039102932,0.0005743024,0.0014972962,0.002440916,0.0076766224,0.0031597023,0.0021572486,0.021580609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043598546,0.000017302687,0.0001854967,0.000061678016,0.000006772735,0.0000921407,0.000819727,0.00018294784,0.001254492,0.9444765,0.023791479,0.029067874],"study_design_scores_gemma":[0.00002016777,0.000030010311,0.0011802976,0.00005357841,0.000014542975,0.00023499304,0.0007573163,0.0011137032,0.0042115664,0.63961285,0.352729,0.00004204419],"about_ca_topic_score_codex":0.0027141285,"about_ca_topic_score_gemma":0.002313348,"teacher_disagreement_score":0.089583516,"about_ca_system_score_codex":0.0014803192,"about_ca_system_score_gemma":0.00094429427,"threshold_uncertainty_score":0.29968673},"labels":[],"label_agreement":null},{"id":"W2114112377","doi":"10.1016/j.aim.2009.03.019","title":"Asymptotics of unitary and orthogonal matrix integrals","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Unitary state; Unitary matrix; Smoothness; Matrix (chemical analysis); Limit (mathematics); Unitary group; Convergence (economics); Pure mathematics; Mathematical analysis","score_opus":0.017967204129815586,"score_gpt":0.35586686648326754,"score_spread":0.337899662353452,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114112377","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22493203,0.008254808,0.6687751,0.007199779,0.0009355342,0.0000764103,0.00042165536,0.0011196974,0.08828504],"genre_scores_gemma":[0.9335694,0.0036812115,0.03846973,0.00088184804,0.0020718568,0.00017541069,0.00048484065,0.0006074008,0.020058403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99771225,0.00094264897,0.00008326709,0.00026194844,0.00069206813,0.0003077771],"domain_scores_gemma":[0.974447,0.017972752,0.0015496478,0.002163172,0.0025692054,0.0012983124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0061654528,0.0011365111,0.001852928,0.003634555,0.0012412381,0.0034259749,0.002981288,0.002643817,0.008230919],"category_scores_gemma":[0.055595927,0.00096607616,0.0010641975,0.002254923,0.005985318,0.008627852,0.0038923966,0.0038084288,0.001103969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000640228,0.000033117933,0.00063037797,0.00008151724,0.000020473379,0.000075969096,0.00012568622,0.011222982,0.00065610575,0.98065245,0.0017618282,0.0046754666],"study_design_scores_gemma":[0.000025465542,0.000016718765,0.0009200172,0.000056698187,0.000020486837,0.00020880777,0.00009084969,0.1487673,0.00042212987,0.8480845,0.0013476592,0.00003940105],"about_ca_topic_score_codex":0.0016646445,"about_ca_topic_score_gemma":0.0013797659,"teacher_disagreement_score":0.008230919,"about_ca_system_score_codex":0.002319633,"about_ca_system_score_gemma":0.0016468767,"threshold_uncertainty_score":0.032606483},"labels":[],"label_agreement":null},{"id":"W2115868612","doi":"10.1016/j.aim.2015.01.012","title":"The J-flow and stability","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Notre Dame; Fonds Québécois de la Recherche sur la Nature et les Technologies; National Science Foundation","keywords":"Mathematics; Stability (learning theory); Flow (mathematics); Torus; Point (geometry); Upper and lower bounds; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.07615570537662726,"score_gpt":0.3355145206441298,"score_spread":0.25935881526750254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2115868612","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29305542,0.025342217,0.24904263,0.040878452,0.0037686583,0.000058757494,0.00061599084,0.00032984666,0.38690796],"genre_scores_gemma":[0.9363988,0.0062857717,0.014581751,0.0017954968,0.0034973414,0.00006729514,0.00018988701,0.00013507139,0.037048537],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965584,0.0001148542,0.000017601811,0.000095405456,0.00007600179,0.000040175066],"domain_scores_gemma":[0.99906415,0.00042416973,0.00011714823,0.00009197737,0.0001751687,0.00012729838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011793891,0.0006106162,0.00072687113,0.0019197598,0.0015248938,0.0029398396,0.0006042361,0.0014740517,0.006656838],"category_scores_gemma":[0.0029747556,0.0002947283,0.00061806093,0.0009771814,0.004731514,0.0067765675,0.0017979274,0.0028520448,0.00053885474],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009706169,0.000003985866,0.000041331252,0.0000108051445,0.000003381319,0.000010283503,0.0000424674,0.00028864449,0.00012950288,0.9967405,0.0009500434,0.0017691958],"study_design_scores_gemma":[0.000004940983,0.0000037333862,0.00006360107,0.0000047765675,0.000001550825,0.000017214437,0.000017608318,0.0010216215,0.000038785234,0.99714005,0.0016826398,0.0000035222113],"about_ca_topic_score_codex":0.000725882,"about_ca_topic_score_gemma":0.00042099238,"teacher_disagreement_score":0.006656838,"about_ca_system_score_codex":0.0011928969,"about_ca_system_score_gemma":0.0006181311,"threshold_uncertainty_score":0.022269309},"labels":[],"label_agreement":null},{"id":"W2122794051","doi":"10.1006/aima.1999.1883","title":"Multipeakons and the Classical Moment Problem","year":2000,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":275,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Peakon; Mathematics; Moment (physics); Riemann–Stieltjes integral; Collision; Mathematical analysis; Applied mathematics; Integrable system; Classical mechanics; Integral equation; Physics","score_opus":0.0057656844178442974,"score_gpt":0.2638886925187152,"score_spread":0.2581230081008709,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2122794051","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39447093,0.00827616,0.38956648,0.022835918,0.0015408314,0.000046987658,0.00029461752,0.00033526873,0.1826328],"genre_scores_gemma":[0.93170184,0.0019182265,0.022387134,0.0011952663,0.0014521074,0.000056479097,0.00015484949,0.0000868516,0.04104731],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997634,0.000077021556,0.000008017285,0.000040673334,0.00006273045,0.0000482575],"domain_scores_gemma":[0.9989417,0.000606338,0.00011765334,0.000061220104,0.00009753294,0.00017558808],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000873371,0.00040954148,0.0005240316,0.0011296053,0.0012867288,0.0015837725,0.00091888144,0.0014338461,0.006459275],"category_scores_gemma":[0.0024515875,0.0002573892,0.00045092468,0.0006799871,0.0022702191,0.004086222,0.0015147856,0.0020190638,0.0004214634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014031781,0.000007052601,0.000035663095,0.000011590674,0.000003167436,0.000024616162,0.0000339047,0.0009159343,0.00023422949,0.996356,0.00080202916,0.0015619321],"study_design_scores_gemma":[0.0000054659313,0.0000032250196,0.00004895461,0.0000028782179,0.0000010976604,0.00002538959,0.000022397733,0.0063473894,0.00006288468,0.99273646,0.0007396752,0.0000041368226],"about_ca_topic_score_codex":0.0007383145,"about_ca_topic_score_gemma":0.0006714167,"teacher_disagreement_score":0.006459275,"about_ca_system_score_codex":0.0010580815,"about_ca_system_score_gemma":0.00060642586,"threshold_uncertainty_score":0.021608412},"labels":[],"label_agreement":null},{"id":"W2130184139","doi":"10.1016/j.aim.2011.03.002","title":"Zariski closures of reductive linear differential algebraic groups","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Differential algebraic geometry; Differential (mechanical device); Differential Galois theory; Pure mathematics; Dimension (graph theory); Algebra over a field; Galois group; Algebraic number; Factoring; Algebraic group; Linear algebraic group; Galois cohomology; Differential algebraic equation; Differential equation; Mathematical analysis; Ordinary differential equation","score_opus":0.018644452599596288,"score_gpt":0.25897025731191486,"score_spread":0.24032580471231857,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2130184139","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8529311,0.0011025716,0.06685485,0.001723798,0.00017668774,0.00008677948,0.0006290045,0.00033472222,0.076160476],"genre_scores_gemma":[0.97785735,0.00042140277,0.0071504177,0.00011441208,0.00018874844,0.000051692565,0.00049024663,0.000049443035,0.01367629],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991605,0.000117476164,0.000053359236,0.00017061378,0.00028059664,0.00021739435],"domain_scores_gemma":[0.9984933,0.00051973615,0.0002816021,0.00010952891,0.00019490477,0.0004009478],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097639684,0.0007480458,0.0010598399,0.0026125133,0.002707698,0.0039643724,0.0010165399,0.0006892511,0.0054833973],"category_scores_gemma":[0.0019859578,0.000655568,0.00070334243,0.0011436631,0.0041180076,0.0060988916,0.002718131,0.0026911357,0.00064143416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000079161364,0.000036222704,0.0003820335,0.00002794065,0.000008566214,0.00013610494,0.000815547,0.00043049201,0.0011504638,0.99372935,0.00043231976,0.0027717652],"study_design_scores_gemma":[0.000054207067,0.00003632601,0.0005718404,0.000017221771,0.000012770055,0.00019381645,0.0004927154,0.0021139642,0.0010937866,0.99140865,0.003988965,0.000015724163],"about_ca_topic_score_codex":0.00085710856,"about_ca_topic_score_gemma":0.00077526795,"teacher_disagreement_score":0.0054833973,"about_ca_system_score_codex":0.0017632482,"about_ca_system_score_gemma":0.000651979,"threshold_uncertainty_score":0.018343747},"labels":[],"label_agreement":null},{"id":"W2131748347","doi":"10.1016/j.aim.2014.02.034","title":"A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":111,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Biharmonic equation; Monotonic function; Type (biology); Hausdorff dimension; Mathematical analysis; Upper and lower bounds; Pure mathematics; Dimension (graph theory); Projection (relational algebra); Boundary value problem","score_opus":0.02996882207134763,"score_gpt":0.34725103466090457,"score_spread":0.3172822125895569,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131748347","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26385316,0.0030529231,0.4139281,0.018206691,0.0016234106,0.0002058965,0.0003880124,0.00021616448,0.29852566],"genre_scores_gemma":[0.8635796,0.0018010061,0.07428754,0.0016066253,0.001159024,0.00028029972,0.0003727706,0.00022615846,0.05668695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995096,0.0001531169,0.00002858818,0.00007280293,0.00014141403,0.000094420255],"domain_scores_gemma":[0.99743,0.0013563834,0.00017713931,0.00013750007,0.0006015266,0.00029742223],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00199523,0.0009423389,0.0010052492,0.0025597531,0.002285109,0.0027760852,0.0022698012,0.0020296634,0.0061684162],"category_scores_gemma":[0.008282381,0.0004852081,0.0013044563,0.0012230632,0.0039034863,0.00533239,0.0032706812,0.004824758,0.00048568723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036597707,0.000039313887,0.000531132,0.000088523426,0.000015318401,0.00016044725,0.00022899518,0.0028818683,0.0021740615,0.9842934,0.0034056026,0.006144797],"study_design_scores_gemma":[0.000020050758,0.0000322082,0.00057993596,0.000042193227,0.000022277292,0.00024380021,0.0001867494,0.110566966,0.0013487766,0.8823076,0.0046232934,0.000026228447],"about_ca_topic_score_codex":0.0026895467,"about_ca_topic_score_gemma":0.0022914195,"teacher_disagreement_score":0.0061684162,"about_ca_system_score_codex":0.0017628334,"about_ca_system_score_gemma":0.0015950127,"threshold_uncertainty_score":0.020635426},"labels":[],"label_agreement":null},{"id":"W2132233101","doi":"10.1016/j.aim.2008.03.026","title":"Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada; University of Sydney","keywords":"Mathematics; Lie conformal algebra; Subalgebra; Graded Lie algebra; Lie algebra; Vertex (graph theory); Algebra representation; Pure mathematics; Universal enveloping algebra; Torus; Algebra over a field; Discrete mathematics; Geometry","score_opus":0.03594215304905628,"score_gpt":0.30748953860736145,"score_spread":0.27154738555830515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132233101","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6801597,0.005110305,0.20053259,0.00572383,0.0011272151,0.00015672765,0.0006699845,0.0002698892,0.10624981],"genre_scores_gemma":[0.9437697,0.0017502056,0.016975105,0.0005366471,0.00089931744,0.00009728416,0.0003687495,0.00010220183,0.035500903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941134,0.00017065353,0.000038892824,0.00008951353,0.00019188024,0.00009774271],"domain_scores_gemma":[0.9992662,0.00020590452,0.00015300066,0.000052645068,0.0001348818,0.00018742331],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010375842,0.0010720142,0.0012503327,0.0024406582,0.0020496722,0.0038679778,0.0015939827,0.0017866913,0.0052373284],"category_scores_gemma":[0.0021580933,0.00067232334,0.0014716099,0.001758326,0.004108208,0.006738974,0.001956717,0.0023932653,0.000719667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007319832,0.000013214317,0.000106449676,0.0000147873,0.000005623609,0.000052608284,0.00015397217,0.0011280477,0.00030331628,0.99705887,0.0003637788,0.0007920874],"study_design_scores_gemma":[0.000008883466,0.000006057246,0.00008114002,0.0000041949556,0.0000031291797,0.00004447735,0.000053749376,0.004449835,0.0000786394,0.9947119,0.0005500331,0.000007934243],"about_ca_topic_score_codex":0.0034819217,"about_ca_topic_score_gemma":0.0041360003,"teacher_disagreement_score":0.0052373284,"about_ca_system_score_codex":0.002716202,"about_ca_system_score_gemma":0.0014404894,"threshold_uncertainty_score":0.019707501},"labels":[],"label_agreement":null},{"id":"W2135806056","doi":"10.1016/j.aim.2015.03.009","title":"High density piecewise syndeticity of sumsets","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; York University","funders":"York University; American Institute of Mathematics; National Science Foundation","keywords":"Mathematics; Piecewise; Lebesgue measure; Measure (data warehouse); Set (abstract data type); Discrete mathematics; Banach space; Key (lock); Pure mathematics; Combinatorics; Lebesgue integration; Mathematical analysis","score_opus":0.042282488865641586,"score_gpt":0.34416162729035216,"score_spread":0.3018791384247106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135806056","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76718295,0.0012162101,0.16327593,0.0017143697,0.00030354303,0.000055254623,0.000813923,0.00065121293,0.06478647],"genre_scores_gemma":[0.96136063,0.00066553656,0.017325122,0.00028789166,0.00030528815,0.00006687016,0.0008077679,0.00030417944,0.018876744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885964,0.00021556093,0.000067300054,0.00027813416,0.00036947496,0.00020994767],"domain_scores_gemma":[0.9934216,0.0032689455,0.00070225995,0.0007231897,0.00069436606,0.0011896678],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009918096,0.00076042133,0.0015287406,0.003975633,0.0032230003,0.005160938,0.0020216722,0.0014505176,0.012449841],"category_scores_gemma":[0.012416825,0.001118534,0.0010170562,0.0025987457,0.0029972573,0.00622121,0.0051046326,0.0030701142,0.0012504309],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013666756,0.000033824206,0.0015049506,0.0000896045,0.000025896748,0.00030035296,0.00044015338,0.0033423672,0.0014171348,0.984791,0.001805269,0.006112962],"study_design_scores_gemma":[0.000027628786,0.000026114092,0.0011361709,0.000041674204,0.000032542128,0.0006268231,0.00036321307,0.017382696,0.0009336333,0.97591543,0.0034907067,0.000023395934],"about_ca_topic_score_codex":0.00094207504,"about_ca_topic_score_gemma":0.0009109792,"teacher_disagreement_score":0.012449841,"about_ca_system_score_codex":0.0010724615,"about_ca_system_score_gemma":0.0004966896,"threshold_uncertainty_score":0.041648805},"labels":[],"label_agreement":null},{"id":"W2137347596","doi":"10.1016/j.aim.2007.06.015","title":"η-series and a Boolean Bercovici–Pata bijection for bounded k-tuples","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Bijection; Series (stratigraphy); Combinatorics; Convolution (computer science); Multiplicative function; Subspace topology; Discrete mathematics; Mathematical analysis","score_opus":0.044361133109685785,"score_gpt":0.39981251407480806,"score_spread":0.3554513809651223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2137347596","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3650546,0.004849511,0.36093658,0.004625078,0.0014949316,0.0000925666,0.0006486891,0.0005644577,0.2617336],"genre_scores_gemma":[0.91929406,0.0017954403,0.03674119,0.00073782605,0.0005091323,0.0001409934,0.00037686914,0.00021774891,0.040186692],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891686,0.0002516224,0.00007784766,0.00024022118,0.00028988783,0.00022355186],"domain_scores_gemma":[0.99844235,0.0006437915,0.00015012495,0.00013107776,0.00033919056,0.00029349624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015004027,0.00078789867,0.0010615871,0.0035645831,0.0032511482,0.0047873454,0.0010911033,0.0013092783,0.008086009],"category_scores_gemma":[0.0045702485,0.00048622387,0.0009477508,0.0028656037,0.003975839,0.0059070215,0.0027967575,0.003980744,0.0014246765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014731268,0.0000050020003,0.00004909308,0.000014536362,0.0000031665618,0.000032822867,0.000090270165,0.00018902113,0.00029565353,0.997273,0.00037314597,0.001659618],"study_design_scores_gemma":[0.000009187749,0.000009077714,0.00012621374,0.0000140263555,0.000008914452,0.00012050935,0.00009679164,0.0018977677,0.00043348336,0.9932893,0.0039801043,0.00001458011],"about_ca_topic_score_codex":0.00105963,"about_ca_topic_score_gemma":0.00080816756,"teacher_disagreement_score":0.008086009,"about_ca_system_score_codex":0.0022504774,"about_ca_system_score_gemma":0.00075814064,"threshold_uncertainty_score":0.027050376},"labels":[],"label_agreement":null},{"id":"W2142210784","doi":"10.1016/j.aim.2013.07.014","title":"The representation of the symmetric group on m -Tamari intervals","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Combinatorics; Bijection; Lattice (music); Symmetric group; Diagonal; Geometry; Physics","score_opus":0.02950412676406802,"score_gpt":0.3376371916505958,"score_spread":0.3081330648865278,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142210784","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5877159,0.001101164,0.2043976,0.0014735577,0.00093341107,0.000118896794,0.00039697724,0.0003932212,0.20346926],"genre_scores_gemma":[0.95196533,0.0005070056,0.021564279,0.00036024416,0.0006182106,0.00007563153,0.00022501737,0.00012405006,0.024560094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996038,0.00010261699,0.000022469247,0.00007552949,0.000101734564,0.00009379997],"domain_scores_gemma":[0.99950767,0.00010179872,0.00011601103,0.00007528571,0.000091003145,0.00010817842],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006240648,0.0006211944,0.0005587126,0.0017407981,0.0009300068,0.0026157522,0.0010825379,0.0008491304,0.010847989],"category_scores_gemma":[0.0012402897,0.00022466664,0.00056480634,0.0011372664,0.0018323306,0.0019732672,0.0013278978,0.0015498122,0.0015931642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004864361,0.000012679138,0.000086613305,0.000013053377,0.0000033761846,0.000055774806,0.0002215958,0.00045796527,0.0013114183,0.9901216,0.00064107665,0.0070262034],"study_design_scores_gemma":[0.000030655978,0.00007936109,0.00032198796,0.000016171645,0.0000075751764,0.00016043859,0.00018949539,0.006675705,0.0010378961,0.9851504,0.006310026,0.000020231817],"about_ca_topic_score_codex":0.00045118137,"about_ca_topic_score_gemma":0.0002522916,"teacher_disagreement_score":0.010847989,"about_ca_system_score_codex":0.0007139114,"about_ca_system_score_gemma":0.0004129142,"threshold_uncertainty_score":0.03629011},"labels":[],"label_agreement":null},{"id":"W2145595809","doi":"10.1016/j.aim.2015.12.004","title":"Proof of the Ghahramani–Lau conjecture","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Locally compact group; Measure (data warehouse); Invariant (physics); Locally compact space; Pure mathematics; Algebra over a field; Group algebra; Discrete mathematics; Combinatorics","score_opus":0.015832797888726814,"score_gpt":0.3042960383903442,"score_spread":0.28846324050161737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145595809","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12192252,0.011881763,0.18077339,0.10136668,0.0076994402,0.00013064567,0.0016438345,0.0011842914,0.5733975],"genre_scores_gemma":[0.8878573,0.004068657,0.041793194,0.007644794,0.003964363,0.00017272746,0.0010294045,0.00030226752,0.053167347],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989009,0.00024634137,0.000039414615,0.00023856126,0.0003386441,0.00023606072],"domain_scores_gemma":[0.99652916,0.0017993127,0.00025712012,0.00047270255,0.0006291422,0.00031267724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018503916,0.0011742024,0.0013579974,0.0018416694,0.0023225104,0.002715648,0.0018480846,0.0019141784,0.022639465],"category_scores_gemma":[0.0069838827,0.0005769952,0.0014914761,0.0016540902,0.0050571472,0.006461337,0.005974281,0.0065709194,0.004207231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008865773,0.000050124545,0.00041962002,0.00017886994,0.000029059482,0.0002469978,0.00058552285,0.00080681185,0.0009733897,0.96648574,0.021137988,0.008997311],"study_design_scores_gemma":[0.000035331068,0.000016866534,0.0005861981,0.000041838884,0.000017008208,0.00017962269,0.000122004705,0.0027823944,0.0003960254,0.98136544,0.014438197,0.00001915723],"about_ca_topic_score_codex":0.0021636433,"about_ca_topic_score_gemma":0.0016886387,"teacher_disagreement_score":0.022639465,"about_ca_system_score_codex":0.0018656169,"about_ca_system_score_gemma":0.0012432424,"threshold_uncertainty_score":0.07573652},"labels":[],"label_agreement":null},{"id":"W2147795499","doi":"10.1016/j.aim.2015.11.005","title":"Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":37,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Science and Technology Facilities Council; Leverhulme Trust","keywords":"Quiver; Moduli space; Mathematics; Pure mathematics; Compactification (mathematics); Instanton; Orbifold; Gauge theory; Toric variety; Affine transformation; Mathematical physics","score_opus":0.00984979801970186,"score_gpt":0.27243498928746923,"score_spread":0.26258519126776736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2147795499","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76283854,0.0025800106,0.11411953,0.0037705519,0.00082832924,0.00008975053,0.00041169964,0.00041559458,0.11494606],"genre_scores_gemma":[0.94517165,0.0014471388,0.015261039,0.00063047465,0.00097607047,0.00008302768,0.0004583058,0.00020138174,0.03577098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917233,0.00020316002,0.000046453766,0.00013747333,0.00021270977,0.00022785348],"domain_scores_gemma":[0.9987263,0.00029994902,0.00023811,0.00014962345,0.00019040429,0.00039563797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001526252,0.0016672418,0.0016535565,0.005261576,0.0033123016,0.005291431,0.0015787565,0.002165112,0.00805901],"category_scores_gemma":[0.0023540491,0.0009163106,0.0014773401,0.0025349702,0.0055076624,0.0098903,0.003925565,0.004161299,0.0008998591],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021080523,0.000018532506,0.00010031992,0.000010270007,0.0000057253283,0.00005288848,0.00019917083,0.00032206203,0.00032268153,0.9975915,0.00022515826,0.0011306211],"study_design_scores_gemma":[0.000018163368,0.000017140834,0.00018012509,0.000009905567,0.0000065260347,0.000045286877,0.00011738951,0.0015054868,0.00012334598,0.9970933,0.0008725945,0.00001066542],"about_ca_topic_score_codex":0.0016483433,"about_ca_topic_score_gemma":0.0016424084,"teacher_disagreement_score":0.00805901,"about_ca_system_score_codex":0.0018115884,"about_ca_system_score_gemma":0.0007675945,"threshold_uncertainty_score":0.026960015},"labels":[],"label_agreement":null},{"id":"W2149121457","doi":"10.1016/j.aim.2006.01.013","title":"A canonical enriched Adams–Hilton model for simplicial sets","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Coalgebra; Simplicial set; Morphism; Homotopy; Isomorphism (crystallography); Coproduct; Chain (unit); Pure mathematics; Algebra over a field; Combinatorics; Homotopy category","score_opus":0.029604724318741928,"score_gpt":0.3528734674810044,"score_spread":0.32326874316226245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2149121457","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45322597,0.000976748,0.2794878,0.0039791143,0.00077090185,0.00013946659,0.0006968989,0.0007699588,0.2599533],"genre_scores_gemma":[0.933224,0.0004242145,0.01934567,0.00041877275,0.00029730884,0.00008124724,0.00031951853,0.00016919964,0.045720126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993629,0.00010280323,0.000030428566,0.00011319847,0.00024489,0.00014578116],"domain_scores_gemma":[0.9993492,0.00012956386,0.000055268243,0.00009222023,0.00016633666,0.00020747771],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008792174,0.000994082,0.0011547321,0.0023075454,0.0027087142,0.0040674964,0.0013653316,0.0014972221,0.010285661],"category_scores_gemma":[0.0013912607,0.0005818856,0.00081956224,0.0012894148,0.0031156258,0.0060364422,0.0035627866,0.0027308397,0.0013383146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007384208,0.000008919262,0.00005612311,0.00000684191,0.0000024644785,0.00003167169,0.000098322584,0.00024549617,0.00022390787,0.99840015,0.00025663132,0.0006620276],"study_design_scores_gemma":[0.000009266882,0.0000103030925,0.000095848955,0.0000063327316,0.0000056788654,0.00006684116,0.0001212553,0.003653633,0.00029073935,0.992983,0.0027476551,0.000009493499],"about_ca_topic_score_codex":0.0018948951,"about_ca_topic_score_gemma":0.0020211365,"teacher_disagreement_score":0.010285661,"about_ca_system_score_codex":0.0016771659,"about_ca_system_score_gemma":0.00087913236,"threshold_uncertainty_score":0.034408927},"labels":[],"label_agreement":null},{"id":"W2153391576","doi":"10.1016/j.aim.2009.10.003","title":"Smooth and irreducible multigraded Hilbert schemes","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; University of Warwick; National Science Foundation","keywords":"Hilbert scheme; Mathematics; Hilbert series and Hilbert polynomial; Abelian group; Hilbert–Poincaré series; Conjecture; Polynomial ring; Pure mathematics; Polynomial; Homogeneous; Scheme (mathematics); Ring (chemistry); Hilbert's fourteenth problem; Combinatorics; Hilbert space; Rigged Hilbert space; Mathematical analysis; Reproducing kernel Hilbert space","score_opus":0.03230269960109491,"score_gpt":0.35315849224007306,"score_spread":0.3208557926389782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153391576","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73596746,0.004095857,0.11944251,0.003460758,0.00082749873,0.00006134938,0.00045452724,0.0003691918,0.13532086],"genre_scores_gemma":[0.9621765,0.00094546366,0.007652484,0.00017510413,0.0004119677,0.000023824416,0.00016802704,0.00007969924,0.02836694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989887,0.00019177001,0.00005631741,0.000181919,0.00036709083,0.00021426856],"domain_scores_gemma":[0.9984932,0.00047442256,0.0002183602,0.00025292113,0.00018549,0.00037554651],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015718162,0.0009909001,0.0010386414,0.0031039566,0.0027155124,0.0038077522,0.0010389824,0.0011206415,0.007138861],"category_scores_gemma":[0.003331532,0.0007864832,0.0011074829,0.002125383,0.005734073,0.008642633,0.0057175327,0.004431396,0.0006328974],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015648155,0.000008448843,0.00012464958,0.000011026602,0.0000040742248,0.000033303422,0.0001772111,0.00021413669,0.00025300524,0.9978751,0.00019014333,0.0010932041],"study_design_scores_gemma":[0.000010340141,0.000010944283,0.0003951639,0.000008261871,0.00001018155,0.00010134571,0.000121534504,0.0012153033,0.00027795474,0.99585056,0.0019862086,0.000012162674],"about_ca_topic_score_codex":0.0011737206,"about_ca_topic_score_gemma":0.0010436553,"teacher_disagreement_score":0.007138861,"about_ca_system_score_codex":0.0014306334,"about_ca_system_score_gemma":0.0007151834,"threshold_uncertainty_score":0.023881853},"labels":[],"label_agreement":null},{"id":"W2153862105","doi":"10.1016/j.aim.2012.12.016","title":"Exceptional collections of line bundles on projective homogeneous varieties","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Russian Foundation for Basic Research","keywords":"Linear algebraic group; Rank (graph theory); Mathematics; Homogeneous; Variety (cybernetics); Projective variety; Pure mathematics; Line (geometry); Projective test; Type (biology); Field (mathematics); Construct (python library); Line bundle; Projective line; Algebraic number; Combinatorics; Algebra over a field; Projective space; Computer science; Geometry; Mathematical analysis","score_opus":0.023490782138259704,"score_gpt":0.301286942096922,"score_spread":0.27779615995866225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153862105","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8521376,0.0009770303,0.07243804,0.00058954646,0.00021540614,0.000074888536,0.00051852537,0.0005298174,0.07251909],"genre_scores_gemma":[0.9708501,0.0006581544,0.009930454,0.0001067553,0.000558872,0.00007944093,0.00097380555,0.00017836002,0.016663957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986498,0.0002793763,0.00009798477,0.00025128946,0.00041904493,0.00030260952],"domain_scores_gemma":[0.99738425,0.0005331431,0.00050896016,0.00024565042,0.0003704915,0.00095746905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013367134,0.0010746861,0.0018658984,0.006970381,0.004632699,0.006032193,0.0020133685,0.0008546704,0.0062195417],"category_scores_gemma":[0.0032426682,0.00094778877,0.0009978557,0.0047268663,0.0051708184,0.0065941997,0.0051955483,0.0021661134,0.00076657365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010530357,0.000054232158,0.001897917,0.00007104921,0.000049430862,0.00057714444,0.0010505591,0.0010346692,0.0015663544,0.98548144,0.0015215769,0.0065902662],"study_design_scores_gemma":[0.000046686146,0.000059680897,0.004077516,0.000042733118,0.00008570477,0.0008415749,0.0008306709,0.004223681,0.0013774274,0.9825165,0.0058566066,0.00004120592],"about_ca_topic_score_codex":0.0006443706,"about_ca_topic_score_gemma":0.0011821694,"teacher_disagreement_score":0.006970381,"about_ca_system_score_codex":0.0016746034,"about_ca_system_score_gemma":0.00055314734,"threshold_uncertainty_score":0.020806432},"labels":[],"label_agreement":null},{"id":"W2155477322","doi":"10.1016/s0001-8708(03)00070-7","title":"Obstruction theory in model categories","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Contractible space; Lift (data mining); sort; Commutative property; Class (philosophy); Continuum hypothesis; Calculus (dental)","score_opus":0.020965430554453816,"score_gpt":0.30044709747951903,"score_spread":0.2794816669250652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2155477322","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19302553,0.02275377,0.26706913,0.022021506,0.0016637462,0.00007742109,0.00084324484,0.00078464666,0.49176103],"genre_scores_gemma":[0.9284205,0.0055071595,0.019190814,0.001286748,0.0019951935,0.00014142011,0.0006789408,0.00014228631,0.042636983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988483,0.00036797856,0.00005570195,0.00020290616,0.00038303566,0.00014197007],"domain_scores_gemma":[0.99865353,0.00070655113,0.00010973648,0.00016163742,0.00019788578,0.00017063589],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014576016,0.00095345685,0.001598754,0.0040723844,0.003322308,0.0052722963,0.0012869751,0.0020382137,0.0074923085],"category_scores_gemma":[0.0026259169,0.0007315351,0.0013328925,0.0036744303,0.0067129824,0.011213262,0.003137316,0.0049199467,0.00091650366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000026055466,0.0000039508577,0.000047615715,0.000010767664,0.0000019750833,0.000011290693,0.000098560864,0.00010426635,0.000046036967,0.99854016,0.00050950726,0.0006232477],"study_design_scores_gemma":[0.0000038112883,0.0000029596895,0.00006436096,0.000004839887,0.0000032608568,0.000023351447,0.000035214605,0.00040286494,0.000031250074,0.9960232,0.0034016555,0.0000032799946],"about_ca_topic_score_codex":0.0021010523,"about_ca_topic_score_gemma":0.0016569872,"teacher_disagreement_score":0.0074923085,"about_ca_system_score_codex":0.003091959,"about_ca_system_score_gemma":0.0010759255,"threshold_uncertainty_score":0.02506423},"labels":[],"label_agreement":null},{"id":"W2157830347","doi":"10.1016/j.aim.2007.09.010","title":"The recursive nature of cominuscule Schubert calculus","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Schubert calculus; Mathematics; Grassmannian; Schubert polynomial; Flag (linear algebra); Schubert variety; Polytope; Generalized flag variety; Pure mathematics; Product (mathematics); Integer (computer science); Zero (linguistics); Combinatorics; Algebra over a field; Lie group; Geometry","score_opus":0.012769919797521454,"score_gpt":0.3477033582835712,"score_spread":0.33493343848604973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157830347","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34952363,0.002978888,0.19117571,0.004531054,0.00057649746,0.00006342255,0.00035077892,0.0006436423,0.45015642],"genre_scores_gemma":[0.9593046,0.00065072946,0.013711535,0.00041826992,0.00047333766,0.000042578537,0.00012683884,0.00011653725,0.025155671],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916756,0.00023570143,0.000035789526,0.00016833532,0.00025265617,0.0001400228],"domain_scores_gemma":[0.99863464,0.00068526116,0.00009625963,0.00021283649,0.00027095806,0.00009997045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010291012,0.00035230225,0.00065994094,0.0017991782,0.003228529,0.003599067,0.0008700404,0.001134692,0.0056316433],"category_scores_gemma":[0.0040015914,0.00040641965,0.0005034052,0.0014159408,0.0052089305,0.006135887,0.0016453979,0.0021450694,0.00077101175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000027139758,0.0000015283259,0.00003301268,0.0000033406104,5.512436e-7,0.000011247797,0.00007186405,0.00007081591,0.000081041704,0.99854666,0.00021727798,0.00095994485],"study_design_scores_gemma":[0.0000024334977,0.0000016903482,0.00008864933,0.0000028270506,0.0000017109717,0.000025583264,0.000023966555,0.00061577454,0.00015869527,0.99626005,0.0028133488,0.000005407267],"about_ca_topic_score_codex":0.0023663468,"about_ca_topic_score_gemma":0.00212876,"teacher_disagreement_score":0.0056316433,"about_ca_system_score_codex":0.0016405314,"about_ca_system_score_gemma":0.0007243417,"threshold_uncertainty_score":0.018839777},"labels":[],"label_agreement":null},{"id":"W2163232452","doi":"10.1016/j.aim.2018.02.008","title":"Singularities of mean convex level set flow in general ambient manifolds","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Mathematics; Infimum and supremum; Norm (philosophy); Mean curvature flow; Uniform norm; Regular polygon; Pure mathematics; Mathematical analysis; Curvature; Flow (mathematics); Gravitational singularity; Convex set; Scalar curvature; Geometry; Convex optimization","score_opus":0.06744404999965618,"score_gpt":0.33833911549257134,"score_spread":0.27089506549291514,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2163232452","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.674668,0.0031213483,0.2578019,0.004837875,0.0007530022,0.00009335026,0.0005210599,0.00060583255,0.05759755],"genre_scores_gemma":[0.96476597,0.00088567316,0.018709695,0.00030166717,0.0005833817,0.000048507674,0.00025023334,0.00017725815,0.014277698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999403,0.00016586657,0.00003221421,0.00013426621,0.00018536339,0.00007937975],"domain_scores_gemma":[0.99846953,0.00043436684,0.00028470773,0.00013714207,0.00022658955,0.00044757934],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00134809,0.0012506745,0.0012432442,0.004068035,0.0015764395,0.0037703523,0.0015028184,0.0020620457,0.0050946],"category_scores_gemma":[0.006461313,0.00060359517,0.00091917044,0.0011996678,0.0035530073,0.004998716,0.0033812935,0.0030123747,0.00051957247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044826636,0.000017219314,0.0004701841,0.000049078528,0.000011199596,0.00017140026,0.00020277714,0.0034201061,0.00075921614,0.99078804,0.0011761897,0.0028897452],"study_design_scores_gemma":[0.000014487981,0.000017464097,0.00044990185,0.000018164428,0.00001094185,0.00018143194,0.00007974251,0.02648237,0.00023607197,0.9710938,0.0013991365,0.000016570586],"about_ca_topic_score_codex":0.0012402247,"about_ca_topic_score_gemma":0.00080129673,"teacher_disagreement_score":0.0050946,"about_ca_system_score_codex":0.001999042,"about_ca_system_score_gemma":0.000596191,"threshold_uncertainty_score":0.017043114},"labels":[],"label_agreement":null},{"id":"W2171334551","doi":"10.1016/j.aim.2011.05.015","title":"The isomorphism problem for some universal operator algebras","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":68,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Pure mathematics; Isomorphism (crystallography); Nest algebra; Operator algebra; Unitary state; Commutative property; Algebraic number; Algebra over a field; Algebra representation; Non-associative algebra; Mathematical analysis","score_opus":0.04373753534578992,"score_gpt":0.3109456592236956,"score_spread":0.2672081238779057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2171334551","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4579457,0.0029441826,0.30017895,0.02382401,0.0012265275,0.0001181843,0.00051888195,0.00063980196,0.21260388],"genre_scores_gemma":[0.93747103,0.0012430289,0.026798857,0.001855034,0.0010941826,0.00011354968,0.0005257178,0.000194847,0.030703748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982432,0.00055574876,0.000092893795,0.00035709067,0.00037292638,0.0003780672],"domain_scores_gemma":[0.99679995,0.0018795088,0.00021954528,0.00033654377,0.00030226342,0.00046211624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026006065,0.00084598316,0.0015892205,0.0019448022,0.004446357,0.004308389,0.0016877804,0.0038016308,0.011593111],"category_scores_gemma":[0.007474335,0.0008274698,0.0018335452,0.0022757212,0.0068246108,0.01838495,0.005423946,0.00784008,0.00092766376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000111563295,0.000015403637,0.000060681345,0.000012731661,0.000004042189,0.000034011697,0.0001226895,0.00012923311,0.00008758052,0.99800783,0.0004904749,0.0010242019],"study_design_scores_gemma":[0.0000065864183,0.0000028242566,0.00002770324,0.0000022283234,0.0000021639235,0.000028356986,0.00004494776,0.0006157244,0.000052408373,0.99868697,0.0005265345,0.000003504669],"about_ca_topic_score_codex":0.0012060795,"about_ca_topic_score_gemma":0.00063290703,"teacher_disagreement_score":0.011593111,"about_ca_system_score_codex":0.0019013399,"about_ca_system_score_gemma":0.0013918602,"threshold_uncertainty_score":0.038782775},"labels":[],"label_agreement":null},{"id":"W2178018963","doi":"10.1016/j.aim.2016.08.039","title":"Removability, rigidity of circle domains and Koebe's conjecture","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Rigidity (electromagnetism); Conjecture; Conformal map; Countable set; Domain (mathematical analysis); Circle packing; Pure mathematics; Unit circle; Logarithm; Mathematical analysis; Combinatorics; Physics","score_opus":0.022507745161933684,"score_gpt":0.3208514186643098,"score_spread":0.2983436735023761,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2178018963","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72484356,0.004940439,0.07772648,0.011573078,0.00065853546,0.000052791747,0.0006434763,0.0004103041,0.17915136],"genre_scores_gemma":[0.9745033,0.0012653262,0.007650327,0.00047964934,0.00041290082,0.00003822645,0.0004786354,0.00006855949,0.015103126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985488,0.000354131,0.000082468025,0.00037669326,0.0003554235,0.0002823761],"domain_scores_gemma":[0.9959019,0.0021720226,0.00046320332,0.0007075473,0.00027945885,0.00047584364],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018751159,0.00090654276,0.0014292111,0.00256956,0.0037884924,0.0032060866,0.0020254885,0.0030367565,0.009533911],"category_scores_gemma":[0.008063639,0.00081328326,0.0013633552,0.0018572818,0.0065087206,0.008333303,0.005196381,0.0050862636,0.00092137704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012068042,0.000026285965,0.0006169793,0.00008346751,0.000014953201,0.0001566757,0.0004331282,0.0015142405,0.0005833582,0.99021494,0.0018383395,0.0043969564],"study_design_scores_gemma":[0.000023680073,0.000017308757,0.0007122365,0.000018024233,0.00001204508,0.00015067893,0.0002038921,0.0023973105,0.00031232147,0.99260265,0.0035297764,0.00002018784],"about_ca_topic_score_codex":0.0018169059,"about_ca_topic_score_gemma":0.0012356262,"teacher_disagreement_score":0.009533911,"about_ca_system_score_codex":0.0013562422,"about_ca_system_score_gemma":0.00065457396,"threshold_uncertainty_score":0.031894088},"labels":[],"label_agreement":null},{"id":"W2180705034","doi":"10.1016/j.aim.2015.10.026","title":"Characterisations of Fourier and Fourier–Stieltjes algebras on locally compact groups","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Subalgebra; Locally compact group; Locally compact space; Pure mathematics; Algebra over a field; Fourier transform; Compact group; Mathematical analysis; Lie group","score_opus":0.07033042384674722,"score_gpt":0.3875144149434529,"score_spread":0.3171839910967057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2180705034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7014347,0.0028894413,0.13900222,0.0038819034,0.0009976181,0.00009100562,0.00043142686,0.00026113898,0.15101059],"genre_scores_gemma":[0.9564363,0.001025638,0.01202962,0.00036872752,0.0013521519,0.00007870505,0.00030308752,0.00011278667,0.028293142],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987631,0.00029904896,0.000064708234,0.000203301,0.00043173763,0.00023816056],"domain_scores_gemma":[0.99780065,0.00069855177,0.00045332944,0.00019175379,0.00036020007,0.0004955645],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019873532,0.0014066913,0.0013640884,0.0046880306,0.0022858025,0.0045001847,0.0014464326,0.0019096842,0.009118801],"category_scores_gemma":[0.0038901705,0.0005823694,0.0012273735,0.0019873958,0.0059212963,0.00906871,0.0025763016,0.0037163764,0.00082156394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016685408,0.000012842653,0.000073641095,0.000009334518,0.000003069333,0.00003761061,0.00017400028,0.00018963522,0.00029694886,0.9978752,0.0002077498,0.0011032006],"study_design_scores_gemma":[0.00001261798,0.00001681399,0.00015655012,0.000008998027,0.0000042771635,0.0001259673,0.00013431112,0.0022654964,0.00020083459,0.99589646,0.0011653606,0.000012238692],"about_ca_topic_score_codex":0.0007831309,"about_ca_topic_score_gemma":0.0005397445,"teacher_disagreement_score":0.009118801,"about_ca_system_score_codex":0.0019038228,"about_ca_system_score_gemma":0.0008290057,"threshold_uncertainty_score":0.030505419},"labels":[],"label_agreement":null},{"id":"W2200357124","doi":"10.1016/j.aim.2014.05.001","title":"Corrigendum to “Toward best isoperimetric constants for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mo stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:mi>B</mml:mi><mml:mi>M</mml:mi><mml:mi>O</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>-normal conformal metrics on <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>, <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si3.gif\" overflow=\"scroll\"><mml:mi>n</mml:mi><mml:mo>≥</mml:mo><mml:mn>3</mml:mn></mml:math>” [Adv. Math. 220 (2) (2009) 540–559]","year":2014,"lang":"lv","type":"erratum","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Scroll; Isoperimetric inequality; Mathematics; Philosophy; Theology; Combinatorics","score_opus":0.02410902560870264,"score_gpt":0.25851706257530793,"score_spread":0.23440803696660528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2200357124","genre_codex":"other","genre_gemma":"editorial","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"editorial","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0044494136,0.009728095,0.17584664,0.03775234,0.18470396,0.00031856456,0.015082226,0.016794294,0.55532455],"genre_scores_gemma":[0.03486072,0.007036025,0.09144305,0.009146141,0.018112503,0.0003422389,0.01810379,0.01967429,0.8012812],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99798286,0.0004404587,0.00014320822,0.00038679974,0.0009125119,0.00013408056],"domain_scores_gemma":[0.9962047,0.00070874585,0.00017552279,0.0007159387,0.0019278823,0.00026721568],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019298814,0.0017311423,0.0016386737,0.003288219,0.0017672982,0.0044309623,0.00229539,0.0018505007,0.34780994],"category_scores_gemma":[0.010294037,0.0009856884,0.002130492,0.0026218214,0.0013864428,0.0048649744,0.002037303,0.0040932796,0.23402426],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028133007,0.000014208195,0.00008467737,0.00014874498,0.000014757697,0.00004985299,0.000035832298,0.00023298463,0.0004859434,0.026913704,0.95199263,0.019998431],"study_design_scores_gemma":[0.000015064845,0.000029177265,0.00069517444,0.000117840784,0.00002544071,0.0001928526,0.00007675684,0.0018499775,0.0022203997,0.035918225,0.95880675,0.00005222505],"about_ca_topic_score_codex":0.0046277056,"about_ca_topic_score_gemma":0.007337011,"teacher_disagreement_score":0.34780994,"about_ca_system_score_codex":0.003530692,"about_ca_system_score_gemma":0.0011855875,"threshold_uncertainty_score":0.93026996},"labels":[],"label_agreement":null},{"id":"W2202687086","doi":"10.1016/j.aim.2015.11.038","title":"On conjugacy of Cartan subalgebras in extended affine Lie algebras","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; University of Alberta","funders":"Consejo Nacional de Investigaciones Científicas y Técnicas; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Cartan matrix; Cartan subalgebra; Mathematics; Cartan decomposition; Kac–Moody algebra; Killing form; Pure mathematics; Affine Lie algebra; Real form; Lie algebra; Lie conformal algebra; Conjugacy class; Generalized Kac–Moody algebra; Algebra over a field; Adjoint representation of a Lie algebra; Current algebra","score_opus":0.03490158618392568,"score_gpt":0.33998529236276953,"score_spread":0.30508370617884384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2202687086","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75975865,0.0017614372,0.09625363,0.0035544904,0.00078919285,0.00012769582,0.00025587447,0.00022780836,0.13727112],"genre_scores_gemma":[0.9632625,0.0010369368,0.009276077,0.0006388047,0.0009766784,0.00008846897,0.00032658532,0.000109984925,0.024284042],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879456,0.0003710076,0.00006763687,0.00021579533,0.0003309466,0.00022003998],"domain_scores_gemma":[0.99801326,0.000609917,0.00038431486,0.00021860273,0.0002723226,0.0005015538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017251602,0.0012347478,0.0012544313,0.0030591455,0.003344636,0.0045832545,0.0015066414,0.0020659065,0.0072892224],"category_scores_gemma":[0.0044244737,0.00077911065,0.0013375641,0.0021079748,0.0050598066,0.0074158562,0.0040634456,0.004312308,0.0010147189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024370527,0.00003125811,0.00022953382,0.000013204035,0.0000067187643,0.00008302555,0.00027321864,0.00043083585,0.0003120418,0.9965995,0.00038695766,0.0016093826],"study_design_scores_gemma":[0.000009687602,0.0000108086715,0.000119667166,0.0000060410557,0.000003237818,0.00004554589,0.00006229056,0.001974515,0.00010660474,0.99704784,0.0006075526,0.0000062924787],"about_ca_topic_score_codex":0.0018721384,"about_ca_topic_score_gemma":0.0016515794,"teacher_disagreement_score":0.0072892224,"about_ca_system_score_codex":0.002223444,"about_ca_system_score_gemma":0.0010258093,"threshold_uncertainty_score":0.024384916},"labels":[],"label_agreement":null},{"id":"W2203575115","doi":"10.1016/j.aim.2016.10.007","title":"A Hopf algebra of subword complexes","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; York University","funders":"York University; Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Hopf algebra; Mathematics; Representation theory of Hopf algebras; Algebra over a field; Pure mathematics; Division algebra; Quasitriangular Hopf algebra; Filtered algebra","score_opus":0.02386716086904989,"score_gpt":0.3109528620800478,"score_spread":0.2870857012109979,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2203575115","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46237257,0.00391434,0.25347942,0.0026228821,0.000992823,0.00013783385,0.00056734134,0.0005968285,0.27531603],"genre_scores_gemma":[0.9170351,0.0013283924,0.018895656,0.0005651828,0.00067107164,0.00010023709,0.00039705567,0.00017089551,0.06083625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928266,0.00012761458,0.00004550628,0.00016826786,0.0002389298,0.00013701533],"domain_scores_gemma":[0.9991254,0.00021201363,0.00010438697,0.00008097322,0.00022857665,0.0002487087],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006925803,0.00077444833,0.0009010007,0.0024888087,0.002043422,0.0042266115,0.0010132326,0.0010884207,0.0119612105],"category_scores_gemma":[0.001515559,0.00048641698,0.0008024747,0.0018817782,0.002489067,0.006572676,0.0023397685,0.0017963185,0.0020185644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016962233,0.000011822927,0.00010039305,0.000019814788,0.0000062052927,0.00007801115,0.00020322372,0.00019844754,0.0009942363,0.9946097,0.00050363154,0.003257483],"study_design_scores_gemma":[0.000006871532,0.000010015102,0.00011089001,0.0000066983616,0.0000061918413,0.00008148089,0.00009407435,0.001428992,0.0004532023,0.99390477,0.0038869341,0.000009812639],"about_ca_topic_score_codex":0.0012978629,"about_ca_topic_score_gemma":0.000807793,"teacher_disagreement_score":0.0119612105,"about_ca_system_score_codex":0.0014350524,"about_ca_system_score_gemma":0.0007659237,"threshold_uncertainty_score":0.040014267},"labels":[],"label_agreement":null},{"id":"W2223437127","doi":"10.1016/j.aim.2017.06.037","title":"Copies of the random graph","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja","keywords":"Combinatorics; Mathematics; Partially ordered set; Omega; Monoid; Countable set; Discrete mathematics; Graph; Lexicographical order; Physics","score_opus":0.034795499970044975,"score_gpt":0.36212488359126005,"score_spread":0.32732938362121505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2223437127","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41987804,0.0030947877,0.41803116,0.011991551,0.001104803,0.00025818383,0.004524513,0.0014126543,0.13970427],"genre_scores_gemma":[0.89522505,0.0014779716,0.026819335,0.0014338576,0.0012467864,0.0002989629,0.0022083416,0.00047935967,0.0708103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982749,0.0006215918,0.000050067556,0.00044729395,0.00044870964,0.0001573517],"domain_scores_gemma":[0.99493176,0.0020392262,0.0006045316,0.0014255801,0.00050713134,0.0004917374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012051453,0.00094788003,0.0015520199,0.0023929588,0.0009982061,0.0029791472,0.0023484586,0.001981421,0.0144246165],"category_scores_gemma":[0.008634793,0.0006473069,0.0010384327,0.0013894949,0.0021156974,0.0040770555,0.0023789406,0.0022955649,0.0019988157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008107853,0.000023718356,0.0003232485,0.000048413414,0.000035484387,0.00012550756,0.000085118234,0.0047505097,0.0011222836,0.98445916,0.003134695,0.0058107767],"study_design_scores_gemma":[0.000035012057,0.000018359277,0.0004292085,0.000017875229,0.000019240173,0.0001662895,0.000036099835,0.026921293,0.0005272331,0.9682484,0.0035616383,0.00001929804],"about_ca_topic_score_codex":0.0010327331,"about_ca_topic_score_gemma":0.0008104448,"teacher_disagreement_score":0.0144246165,"about_ca_system_score_codex":0.0010542475,"about_ca_system_score_gemma":0.000599333,"threshold_uncertainty_score":0.048255146},"labels":[],"label_agreement":null},{"id":"W223357592","doi":"10.1016/j.aim.2016.12.014","title":"Integral Kähler invariants and the Bergman kernel asymptotics for line bundles","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; University of Tokyo; Universitat Autònoma de Barcelona; University of Toronto; Japan Society for the Promotion of Science; Australian National University","keywords":"Mathematics; Bergman kernel; Chern class; Pure mathematics; Kähler manifold; Line bundle; Invariant (physics); Curvature; Metric (unit); Manifold (fluid mechanics); Kernel (algebra); Mathematical analysis; Mathematical physics; Geometry","score_opus":0.056061332410293215,"score_gpt":0.3555816663027213,"score_spread":0.2995203338924281,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W223357592","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.726215,0.00360059,0.12067522,0.0044401325,0.0005804441,0.00005381999,0.0002668487,0.0007698657,0.1433981],"genre_scores_gemma":[0.9733011,0.0010689216,0.0052900002,0.00025307285,0.0006349105,0.000032444677,0.0002619328,0.00017754234,0.018980008],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994141,0.00013902973,0.000030457504,0.00009300746,0.00021054737,0.000112833804],"domain_scores_gemma":[0.9982559,0.00051848346,0.0003036532,0.00015035998,0.0002830292,0.00048860547],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013178337,0.0013332264,0.0012001701,0.005392605,0.0018510673,0.004380136,0.0015964403,0.0016336481,0.009862462],"category_scores_gemma":[0.0055963537,0.0005604556,0.00061075645,0.0019318812,0.004357671,0.008986677,0.0028363222,0.0033453465,0.0010472593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025623352,0.000036118076,0.0003005086,0.000030310403,0.000007674809,0.00007478588,0.0002123814,0.0007506871,0.0005074288,0.9943141,0.00079825375,0.0029422375],"study_design_scores_gemma":[0.000012420005,0.000011668483,0.0005551573,0.000013672603,0.0000070305064,0.000110123074,0.000108702545,0.007904811,0.0001765179,0.99019194,0.00089499896,0.000012957967],"about_ca_topic_score_codex":0.0012707193,"about_ca_topic_score_gemma":0.0009925696,"teacher_disagreement_score":0.009862462,"about_ca_system_score_codex":0.001857715,"about_ca_system_score_gemma":0.00064372947,"threshold_uncertainty_score":0.032993197},"labels":[],"label_agreement":null},{"id":"W2234592704","doi":"10.1016/j.aim.2017.03.012","title":"Rationally isomorphic hermitian forms and torsors of some non-reductive groups","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"European Research Council","keywords":"Unimodular matrix; Mathematics; Pure mathematics; Hermitian matrix; Dedekind cut; Conjecture; Group (periodic table); Quadratic equation; Algebra over a field; Physics","score_opus":0.024719393893282822,"score_gpt":0.3185316241520398,"score_spread":0.29381223025875697,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2234592704","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87145716,0.000963045,0.039659288,0.0035427453,0.0005290907,0.00007526785,0.00043860186,0.0001886619,0.08314617],"genre_scores_gemma":[0.97429436,0.0003884542,0.0045719873,0.00025721377,0.00046867202,0.00004013586,0.00021988453,0.000060474013,0.01969889],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989354,0.0002970759,0.00004426293,0.0002059636,0.00029792564,0.00021928978],"domain_scores_gemma":[0.9988563,0.00031394887,0.0002401819,0.00010690786,0.000117450916,0.0003653005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008272728,0.0015571461,0.00078784913,0.0030126486,0.0021549372,0.003358273,0.0011991479,0.0012509103,0.009296068],"category_scores_gemma":[0.002108666,0.00062345964,0.00080370094,0.0015415378,0.00511981,0.00470397,0.0034648308,0.0028799386,0.0009716317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005268603,0.000024758338,0.00026244845,0.000017579143,0.0000104602,0.00013681312,0.00034025207,0.0002998954,0.00071342377,0.9953198,0.00050203485,0.0023197967],"study_design_scores_gemma":[0.00003471723,0.00002535763,0.0004461103,0.0000075406065,0.000010613625,0.00019867449,0.00017135208,0.0013673039,0.0004937753,0.9953674,0.0018604938,0.000016683442],"about_ca_topic_score_codex":0.0006378438,"about_ca_topic_score_gemma":0.0004949725,"teacher_disagreement_score":0.009296068,"about_ca_system_score_codex":0.0014218471,"about_ca_system_score_gemma":0.0006910382,"threshold_uncertainty_score":0.031098425},"labels":[],"label_agreement":null},{"id":"W2240413958","doi":"10.1016/j.aim.2017.04.004","title":"An infinite self-dual Ramsey theorem","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Seventh Framework Programme","keywords":"Ramsey's theorem; Ramsey theory; Mathematics; Rothschild; Dual (grammatical number); Carlson's theorem; Danskin's theorem; Picard–Lindelöf theorem; Combinatorics; Discrete mathematics; Fixed-point theorem; Philosophy","score_opus":0.03657291349707275,"score_gpt":0.3824052157188329,"score_spread":0.34583230222176015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2240413958","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21547301,0.00462938,0.27407598,0.010600335,0.0014972589,0.00006007879,0.0008303933,0.0010455971,0.491788],"genre_scores_gemma":[0.91661525,0.0011618742,0.027186563,0.0017406801,0.0009341199,0.00009189257,0.00036351618,0.00022736561,0.051678695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923694,0.00019555319,0.000037143906,0.00020831861,0.00021829084,0.000103678685],"domain_scores_gemma":[0.9986904,0.0005449121,0.000089716705,0.00019703117,0.00026500653,0.00021292167],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011789409,0.0006167737,0.00073811336,0.0012979042,0.0017657098,0.002488225,0.001016489,0.0011777529,0.009684991],"category_scores_gemma":[0.0025732045,0.0004839662,0.00087205844,0.0006798763,0.003051976,0.0065352954,0.0037656962,0.0030894056,0.0013656236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001821169,0.000011803211,0.00007385173,0.000030866886,0.000004842975,0.00003511808,0.00007826728,0.00011096845,0.0003871887,0.996119,0.0012262933,0.0019035871],"study_design_scores_gemma":[0.000011924787,0.000006960869,0.00007999287,0.00000886952,0.0000069041967,0.00012861367,0.000036033267,0.0013021985,0.00031186087,0.9939908,0.00410985,0.000006119393],"about_ca_topic_score_codex":0.00035910515,"about_ca_topic_score_gemma":0.00034730707,"teacher_disagreement_score":0.009684991,"about_ca_system_score_codex":0.0009977971,"about_ca_system_score_gemma":0.00051328214,"threshold_uncertainty_score":0.032399476},"labels":[],"label_agreement":null},{"id":"W2246879839","doi":"10.1016/j.aim.2016.11.021","title":"Resolution of singularities of the cotangent sheaf of a singular variety","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Cotangent bundle; Sheaf; Resolution of singularities; Algebraic variety; Variety (cybernetics); Projective variety; Mathematical analysis; Monomial; Gravitational singularity; Trigonometric functions; Algebraic number; Geometry","score_opus":0.024683852771946225,"score_gpt":0.30154051258783804,"score_spread":0.2768566598158918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2246879839","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82116276,0.0027016078,0.07940295,0.0022807994,0.00082636636,0.000065696506,0.00038824705,0.0004220798,0.09274945],"genre_scores_gemma":[0.96963847,0.0007303821,0.0076972246,0.00014713874,0.00040224093,0.000015637905,0.00027130378,0.00010420712,0.020993453],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991794,0.00014581795,0.000049852897,0.00015283425,0.00032952058,0.00014255858],"domain_scores_gemma":[0.9991047,0.00016545974,0.00016467531,0.00007410029,0.00010487034,0.00038612532],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096480304,0.0016118091,0.0011065592,0.0045637586,0.0019312367,0.003922028,0.0014058321,0.0014040819,0.0081990855],"category_scores_gemma":[0.0025471868,0.00058617006,0.0010076569,0.001822705,0.0034542836,0.003912422,0.0040275324,0.00378717,0.0012157081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017286847,0.00006817765,0.0009996777,0.000107087304,0.000060118156,0.0019512635,0.0012958646,0.0027394735,0.0071972366,0.97443604,0.0017975606,0.009174577],"study_design_scores_gemma":[0.000071361355,0.00011611913,0.0015076995,0.00004949807,0.000043543514,0.0018924634,0.0006314514,0.011770341,0.0033010407,0.97317356,0.0073888204,0.000054000466],"about_ca_topic_score_codex":0.0012610201,"about_ca_topic_score_gemma":0.0008762994,"teacher_disagreement_score":0.0081990855,"about_ca_system_score_codex":0.0014888139,"about_ca_system_score_gemma":0.0004921481,"threshold_uncertainty_score":0.027428687},"labels":[],"label_agreement":null},{"id":"W2249644427","doi":"10.1016/j.aim.2016.03.045","title":"Calabi–Yau threefolds fibred by mirror quartic K3 surfaces","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Fibered knot; Quartic function; Mathematics; Moduli space; Quartic surface; Pure mathematics; Calabi–Yau manifold; Moduli; K3 surface; Base (topology); Mathematical analysis; Algebra over a field; Physics","score_opus":0.018519902621116715,"score_gpt":0.3017644367403189,"score_spread":0.2832445341192022,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2249644427","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9089585,0.00043004198,0.01730641,0.00071640004,0.00033547165,0.00006389255,0.00017557696,0.00036423473,0.07164947],"genre_scores_gemma":[0.9788198,0.00023837012,0.005617386,0.00016490972,0.00015032066,0.00003074446,0.00019641085,0.00017240396,0.014609678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994216,0.00007107778,0.000028687393,0.000094088085,0.0002228124,0.00016169663],"domain_scores_gemma":[0.9993912,0.00010026349,0.00012279443,0.00008940569,0.000100641126,0.00019565651],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004634572,0.0014403941,0.0013164926,0.0027811143,0.0024290252,0.0035708246,0.0010187703,0.0021576672,0.008214905],"category_scores_gemma":[0.0015039358,0.00075889024,0.0008562706,0.0010272445,0.0024854867,0.0023978506,0.002151199,0.0023680325,0.0017036678],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00065381825,0.00008773795,0.0009941582,0.00008509987,0.000036393347,0.0013421213,0.0007834812,0.0035361836,0.014485561,0.9666081,0.0016940997,0.009693335],"study_design_scores_gemma":[0.00028496832,0.0003288058,0.0066537345,0.00010416657,0.00007362941,0.0027211376,0.0012966527,0.02993632,0.009659998,0.9357276,0.013082789,0.00013014875],"about_ca_topic_score_codex":0.0024155683,"about_ca_topic_score_gemma":0.0014939969,"teacher_disagreement_score":0.008214905,"about_ca_system_score_codex":0.0017739335,"about_ca_system_score_gemma":0.0006068919,"threshold_uncertainty_score":0.027481556},"labels":[],"label_agreement":null},{"id":"W2252450176","doi":"10.1016/j.aim.2017.04.020","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">A</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> curves on log K3 surfaces","year":2017,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Scroll; Algorithm; Type (biology); Combinatorics; Theology; Philosophy","score_opus":0.023546210424393928,"score_gpt":0.27166491185008224,"score_spread":0.24811870142568831,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2252450176","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.002713039,0.00049943296,0.06356143,0.005822315,0.0025079404,0.00019785525,0.14314304,0.08789729,0.6936577],"genre_scores_gemma":[0.031167198,0.0014963767,0.059890304,0.0021173828,0.0011725595,0.00039056953,0.20841022,0.11257229,0.58278316],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995024,0.00007819361,0.0000425049,0.00007736131,0.00023627246,0.00006318209],"domain_scores_gemma":[0.9982455,0.00033481207,0.00010260703,0.00048197815,0.0006078735,0.00022734773],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000644678,0.0010703304,0.00091310684,0.00272204,0.001044186,0.0050328746,0.0020420183,0.0011925952,0.5922493],"category_scores_gemma":[0.003396435,0.00072813197,0.0008289953,0.004171635,0.0006199486,0.004977922,0.0020849234,0.0025915662,0.49774855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038183705,0.00001687509,0.000114662005,0.00012958035,0.0000050682706,0.00002719026,0.000058504116,0.00014710752,0.001117197,0.01993533,0.9528952,0.025515106],"study_design_scores_gemma":[0.00002262551,0.000010440714,0.0006607705,0.000047707188,0.0000048490615,0.00008984443,0.00006745601,0.0010000905,0.0039146277,0.014751647,0.97939986,0.000029995974],"about_ca_topic_score_codex":0.0071370727,"about_ca_topic_score_gemma":0.009080781,"teacher_disagreement_score":0.5922493,"about_ca_system_score_codex":0.0021826976,"about_ca_system_score_gemma":0.0012186359,"threshold_uncertainty_score":0.58160686},"labels":[],"label_agreement":null},{"id":"W2261844171","doi":"10.1016/j.aim.2017.06.013","title":"A canonical torsion theory for pro-p Iwahori–Hecke modules","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National University of Singapore","keywords":"Mathematics; Torsion (gastropod); Residue field; Combinatorics; Pure mathematics; Field (mathematics); Discrete mathematics; Algebra over a field","score_opus":0.052386581830635486,"score_gpt":0.3776968446381262,"score_spread":0.3253102628074907,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2261844171","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39430326,0.0050867284,0.21617377,0.009415301,0.0025480425,0.000118453354,0.00083278184,0.0006923946,0.37082922],"genre_scores_gemma":[0.9274183,0.0014541403,0.015004228,0.001083494,0.0022264062,0.000100847756,0.0004859166,0.00022894745,0.05199773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987651,0.00025469743,0.000051471176,0.00032502564,0.00036350184,0.00024028205],"domain_scores_gemma":[0.9991697,0.00017172392,0.00012044747,0.00010598579,0.00019180954,0.00024044793],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013329503,0.001601494,0.001120602,0.0038231357,0.0027213916,0.0047956086,0.001839089,0.0019077148,0.012475657],"category_scores_gemma":[0.0020640937,0.0007870113,0.0011257511,0.0021895606,0.0048839985,0.009120266,0.0038342352,0.0042736023,0.0025185295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013172295,0.000018077928,0.000111180525,0.000019306759,0.0000039886418,0.000051545758,0.00013372692,0.00016356324,0.00031123386,0.9960763,0.0008667704,0.0022311918],"study_design_scores_gemma":[0.000011193738,0.00001206815,0.00012573348,0.000011083507,0.00000589517,0.00012978964,0.000078506826,0.0011961608,0.00020782916,0.995411,0.0027986602,0.0000120083705],"about_ca_topic_score_codex":0.0005753006,"about_ca_topic_score_gemma":0.00048948487,"teacher_disagreement_score":0.012475657,"about_ca_system_score_codex":0.0017447869,"about_ca_system_score_gemma":0.0009927409,"threshold_uncertainty_score":0.04173529},"labels":[],"label_agreement":null},{"id":"W2271695792","doi":"10.1016/j.aim.2017.05.023","title":"A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet)","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Israel Science Foundation","keywords":"A priori and a posteriori; Manifold (fluid mechanics); Mathematics; Pure mathematics; Appendix; Algebra over a field; Philosophy; Engineering; Geology; Epistemology","score_opus":0.036279878274186474,"score_gpt":0.34967011665544473,"score_spread":0.31339023838125823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2271695792","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035560198,0.05583134,0.4900699,0.06576142,0.023125159,0.0002349463,0.0037133917,0.0019246726,0.3237789],"genre_scores_gemma":[0.5127886,0.03930758,0.16489254,0.020382958,0.04266346,0.0012937892,0.0057931375,0.003817659,0.20906019],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982679,0.0005340675,0.00009883072,0.00043370773,0.00051617034,0.00014940609],"domain_scores_gemma":[0.99508506,0.0024923144,0.00028817664,0.00044420455,0.0011557832,0.00053448096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036238732,0.0032011352,0.0024705997,0.0067993673,0.0021872679,0.0036537691,0.00304429,0.002769228,0.043245587],"category_scores_gemma":[0.018729446,0.0009295661,0.0017817536,0.0045017763,0.0037411847,0.011528634,0.0061952616,0.008663188,0.010023961],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009009213,0.000079829006,0.00044245415,0.00069254095,0.00006251656,0.00018191527,0.0002164521,0.0025398668,0.0015149419,0.87851965,0.08931624,0.026343524],"study_design_scores_gemma":[0.000021128497,0.000039905746,0.00094887614,0.00013979829,0.000055030185,0.00016979338,0.00007115488,0.014270927,0.0007090577,0.9482421,0.03525979,0.00007246513],"about_ca_topic_score_codex":0.003274537,"about_ca_topic_score_gemma":0.002070887,"teacher_disagreement_score":0.043245587,"about_ca_system_score_codex":0.0027339216,"about_ca_system_score_gemma":0.0009728173,"threshold_uncertainty_score":0.1446709},"labels":[],"label_agreement":null},{"id":"W2274169065","doi":"10.1016/j.aim.2016.02.004","title":"Types in the n-adic tree and minimal analytic gaps","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"advanced mathematical theories","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique","keywords":"Mathematics; Tree (set theory); Pure mathematics; Discrete mathematics; Combinatorics","score_opus":0.027480751793179138,"score_gpt":0.3410499401611181,"score_spread":0.31356918836793896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2274169065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47156143,0.003533024,0.11916757,0.005455802,0.00078020175,0.000069879934,0.0007794231,0.00034097253,0.39831182],"genre_scores_gemma":[0.9579487,0.0008965869,0.017556036,0.000498455,0.00030685737,0.000049872146,0.00027571202,0.00009799158,0.022369802],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994407,0.00013522738,0.000042299445,0.00010431381,0.00017404323,0.00010330452],"domain_scores_gemma":[0.9990089,0.00036503436,0.00014780338,0.0001330693,0.00017190255,0.00017329228],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000819264,0.00047985173,0.00074792356,0.0023279462,0.0022819147,0.003679428,0.0011387983,0.0012349884,0.0064402623],"category_scores_gemma":[0.002425303,0.0004221711,0.000677775,0.0014563043,0.003478224,0.00826551,0.0023891167,0.002148199,0.00075822085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009414415,0.0000032128376,0.00007360605,0.000009373393,0.0000014027926,0.000026465219,0.000067216286,0.00009203494,0.000092449896,0.9985586,0.0002368038,0.0008294651],"study_design_scores_gemma":[0.000005374085,0.000002411965,0.000067560875,0.000006552351,0.000002214357,0.000052264135,0.000054701406,0.00031360338,0.000053373336,0.99808156,0.0013579596,0.000002468431],"about_ca_topic_score_codex":0.0012182768,"about_ca_topic_score_gemma":0.0011708294,"teacher_disagreement_score":0.0064402623,"about_ca_system_score_codex":0.0017209231,"about_ca_system_score_gemma":0.0007290287,"threshold_uncertainty_score":0.021544814},"labels":[],"label_agreement":null},{"id":"W2277270823","doi":"10.1016/j.aim.2015.12.001","title":"Singular Gelfand–Tsetlin modules of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mrow><mml:mi mathvariant=\"fraktur\">gl</mml:mi></mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2015,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo; National Sanitarium Association","keywords":"Mathematics; Basis (linear algebra); Realization (probability); Class (philosophy); Algebra over a field; Mathematics Subject Classification; Pure mathematics; Geometry; Computer science; Artificial intelligence","score_opus":0.028868395788223065,"score_gpt":0.2802725290367894,"score_spread":0.2514041332485663,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2277270823","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37278724,0.0018083652,0.2179504,0.0032563286,0.0009797929,0.00011213959,0.0011622402,0.0014967424,0.40044674],"genre_scores_gemma":[0.8612625,0.00076339603,0.022797916,0.00062397256,0.0005967602,0.000082144375,0.0010328699,0.0006314701,0.112209134],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994647,0.000092685164,0.00002711984,0.00013952571,0.00016846329,0.00010745578],"domain_scores_gemma":[0.9991671,0.00014731676,0.00012530615,0.00009586779,0.00019622248,0.00026828545],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059535174,0.00084006006,0.0006834056,0.002677999,0.0014746955,0.0027136882,0.0006824954,0.0006093912,0.026168559],"category_scores_gemma":[0.0016529354,0.00038346503,0.0009671532,0.0009954068,0.0024848413,0.0035900443,0.0021075958,0.0017546455,0.004597565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056333785,0.000016961167,0.00032127652,0.00004520641,0.000018632125,0.00014218231,0.00032282693,0.00042573575,0.0011268123,0.9872822,0.0033360594,0.006905821],"study_design_scores_gemma":[0.0000386607,0.000043316435,0.00077342574,0.000032234617,0.000021288759,0.0003951052,0.00020900177,0.0034553881,0.002663327,0.9707555,0.02158649,0.000026255962],"about_ca_topic_score_codex":0.0009145282,"about_ca_topic_score_gemma":0.0010018441,"teacher_disagreement_score":0.026168559,"about_ca_system_score_codex":0.0015043354,"about_ca_system_score_gemma":0.00072065124,"threshold_uncertainty_score":0.087542534},"labels":[],"label_agreement":null},{"id":"W2280249789","doi":"10.1016/j.aim.2016.06.022","title":"Small roots, low elements, and the weak order in Coxeter groups","year":2016,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Coxeter group; Mathematics; Artin group; Coxeter element; Coxeter complex; Longest element of a Coxeter group; Combinatorics; Bruhat order; Order (exchange); Partially ordered set; Coxeter graph; Conjecture; Generating set of a group; Affine transformation; Graph; Pure mathematics; Line graph; Geometry; Voltage graph","score_opus":0.025708019991823997,"score_gpt":0.30869769426944416,"score_spread":0.2829896742776202,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2280249789","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74749446,0.0034108923,0.07425563,0.009918049,0.0011242465,0.00005442599,0.00034072608,0.00029209538,0.16310945],"genre_scores_gemma":[0.968991,0.0009055835,0.005258639,0.0004154817,0.0008053809,0.00003409155,0.00014742493,0.000058769572,0.023383712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955946,0.00012031038,0.00002193982,0.000086377695,0.00012031452,0.00009157831],"domain_scores_gemma":[0.9985846,0.00066739926,0.00018477302,0.00014101568,0.00013344886,0.00028876236],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007900824,0.0007868389,0.0008357065,0.0019926813,0.0020308604,0.0036463179,0.00081716664,0.0010969358,0.0067018284],"category_scores_gemma":[0.003743562,0.00041133584,0.0004930045,0.0011909731,0.005270618,0.004778938,0.00230411,0.0037461803,0.0007853744],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038150283,0.0000116934125,0.0002626482,0.000019838766,0.000003760543,0.000036578615,0.00018662272,0.0002610836,0.00038987378,0.9954391,0.0006988579,0.0026518155],"study_design_scores_gemma":[0.000009204655,0.000007506247,0.00011897342,0.0000045193387,0.0000022328652,0.000025265883,0.00005703836,0.0004130419,0.00011461176,0.99838316,0.0008606697,0.000003851002],"about_ca_topic_score_codex":0.0010651138,"about_ca_topic_score_gemma":0.0012118691,"teacher_disagreement_score":0.0067018284,"about_ca_system_score_codex":0.0012663407,"about_ca_system_score_gemma":0.0005863939,"threshold_uncertainty_score":0.02241987},"labels":[],"label_agreement":null},{"id":"W2282051792","doi":"10.1016/j.aim.2019.06.013","title":"Derived categories of BHK mirrors","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Bootstrapping (finance); Space (punctuation); Pure mathematics; Projective test; Physics; Mirror symmetry; Mathematics; Optics; Philosophy; Linguistics; Econometrics","score_opus":0.03848880534565041,"score_gpt":0.3345534225792641,"score_spread":0.2960646172336137,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2282051792","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33584577,0.0013721454,0.1378886,0.0026427489,0.00089759583,0.00013507927,0.0014823743,0.000737948,0.5189977],"genre_scores_gemma":[0.8931213,0.0005271247,0.017577754,0.0005433364,0.0004389289,0.000093929404,0.0011211103,0.0004426322,0.086133815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988807,0.00020109168,0.000056267945,0.00023068314,0.00042142725,0.00020974895],"domain_scores_gemma":[0.9992155,0.00016134355,0.0000824795,0.00015505147,0.00025899438,0.00012673133],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061753753,0.0006914203,0.00071988074,0.0022701384,0.0021099327,0.004399979,0.0012619777,0.0011281768,0.015573737],"category_scores_gemma":[0.0016577243,0.00044065516,0.00075392704,0.0012682558,0.0024806538,0.0065143965,0.0044248835,0.0024761918,0.0034065875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016010103,0.000009373748,0.00008071808,0.000012971734,0.0000036518666,0.000042018637,0.000116239564,0.00008272213,0.00046007283,0.99668026,0.0005584882,0.001937389],"study_design_scores_gemma":[0.000012946085,0.000009068041,0.00029049616,0.00000910066,0.000008076275,0.00015863033,0.00013993632,0.0010146626,0.0010372595,0.98743373,0.009874594,0.00001146859],"about_ca_topic_score_codex":0.0014826074,"about_ca_topic_score_gemma":0.00076045893,"teacher_disagreement_score":0.015573737,"about_ca_system_score_codex":0.0019964848,"about_ca_system_score_gemma":0.00070522446,"threshold_uncertainty_score":0.052099347},"labels":[],"label_agreement":null},{"id":"W2289924220","doi":"10.1016/j.aim.2017.02.012","title":"Normalizers of primitive permutation groups","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Office of Research, Innovation and Economic Development, California State Polytechnic University, Pomona; Nemzeti Kutatási Fejlesztési és Innovációs Hivatal; Mount Allison University; London Mathematical Society; National Science Foundation","keywords":"Primitive permutation group; Mathematics; Combinatorics; Permutation group; Permutation (music); Galois group; Group (periodic table); Sequence (biology); Discrete mathematics; Cyclic permutation; Symmetric group; Physics; Biology; Genetics","score_opus":0.01827990261158398,"score_gpt":0.3022645525345919,"score_spread":0.2839846499230079,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2289924220","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.595812,0.0014251142,0.18426979,0.00433834,0.0019123916,0.00012216944,0.0007502924,0.0010580333,0.21031183],"genre_scores_gemma":[0.93499875,0.0006666274,0.016458228,0.0006056933,0.0017299422,0.00013252761,0.0005141757,0.0003197018,0.044574328],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984428,0.00037988246,0.00007434684,0.00035647774,0.00047490018,0.00027157675],"domain_scores_gemma":[0.9976151,0.0007433134,0.00042490396,0.00039408242,0.00031588486,0.0005067065],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010759942,0.0008400452,0.00090966735,0.0023507578,0.00204649,0.003575536,0.0009483737,0.00096995384,0.008189614],"category_scores_gemma":[0.004821416,0.0004881374,0.00067512924,0.0014119262,0.0045496994,0.0040892833,0.003059934,0.0029800197,0.0016341149],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031260257,0.000011976808,0.00012863065,0.000008371133,0.0000031184102,0.00003248606,0.00011145683,0.00031403548,0.000668882,0.99411064,0.0007199328,0.00385921],"study_design_scores_gemma":[0.000009973945,0.000011620072,0.000098040386,0.0000040521904,0.0000028780296,0.000046929254,0.00003349395,0.0011310609,0.00046546917,0.9960588,0.0021312996,0.0000065009986],"about_ca_topic_score_codex":0.00069667766,"about_ca_topic_score_gemma":0.0006763748,"teacher_disagreement_score":0.008189614,"about_ca_system_score_codex":0.0016484878,"about_ca_system_score_gemma":0.001146273,"threshold_uncertainty_score":0.027396977},"labels":[],"label_agreement":null},{"id":"W2312320731","doi":"10.1016/j.aim.2015.11.052","title":"On the Sundberg approximation theorem","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Holomorphic function; Meromorphic function; Unit disk; Banach space; Bounded function; Maximal ideal; Pure mathematics; Riemann sphere; Banach algebra; Identity theorem; Unit (ring theory); Ideal (ethics); Space (punctuation); Riemann surface; Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.027649648712700484,"score_gpt":0.30149600837417917,"score_spread":0.2738463596614787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2312320731","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13180187,0.010425439,0.44618204,0.030135456,0.0035512645,0.00004716069,0.00050846813,0.00040939837,0.3769388],"genre_scores_gemma":[0.84878314,0.005380141,0.05908129,0.0043156645,0.0031755685,0.000114309514,0.00040037482,0.0003664825,0.07838309],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993581,0.00024020563,0.000023730561,0.00009743142,0.00020667128,0.00007383491],"domain_scores_gemma":[0.99876606,0.0007044809,0.00007898071,0.00017259564,0.0001688385,0.00010908873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018995013,0.0005656376,0.0011049834,0.0011210312,0.0012572297,0.0018482694,0.0011692647,0.0013020644,0.007071475],"category_scores_gemma":[0.0043755346,0.00028083092,0.00088902644,0.0008836662,0.002926217,0.005601286,0.0026380422,0.00407152,0.001202098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008790372,0.0000047585627,0.000051613162,0.000009841145,0.0000031019767,0.0000114471395,0.000028802817,0.00022292048,0.00010685769,0.99685293,0.001063775,0.001635225],"study_design_scores_gemma":[0.0000052883124,0.0000036246863,0.00006522199,0.0000050853805,0.0000021425499,0.000021455404,0.000011349773,0.0021339823,0.000048079208,0.9956832,0.0020179588,0.0000025559343],"about_ca_topic_score_codex":0.0012031227,"about_ca_topic_score_gemma":0.0007580941,"teacher_disagreement_score":0.007071475,"about_ca_system_score_codex":0.0011250093,"about_ca_system_score_gemma":0.00062921294,"threshold_uncertainty_score":0.023656428},"labels":[],"label_agreement":null},{"id":"W2331547418","doi":"10.1016/j.aim.2016.03.023","title":"Integrable cluster dynamics of directed networks and pentagram maps","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Molecular spectroscopy and chirality","field":"Chemistry","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Iowa Science Foundation; Israel Science Foundation; Simons Foundation; M.S.I. Foundation; National Science Foundation","keywords":"Quiver; Integrable system; Mathematics; Cluster algebra; Toda lattice; Poisson manifold; Cluster (spacecraft); Pure mathematics; Poisson distribution; Hamiltonian (control theory); Poisson bracket; Ising model; Physics; Statistical physics; Lie algebra; Computer science","score_opus":0.004207461802572132,"score_gpt":0.25092880168983484,"score_spread":0.2467213398872627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2331547418","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78162766,0.0012049788,0.14781126,0.0035383988,0.0002519739,0.000048963728,0.00030012662,0.0003124413,0.06490423],"genre_scores_gemma":[0.9826231,0.00036746048,0.0055945734,0.00014455928,0.00009141529,0.00004293687,0.00011461936,0.0000500084,0.010971384],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976903,0.00007390324,0.000007780993,0.000033206798,0.0000669381,0.000049086815],"domain_scores_gemma":[0.99927217,0.0002661469,0.000112682734,0.000069061934,0.00007698525,0.00020294503],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039502443,0.00039056962,0.00076358253,0.0011601367,0.0009526387,0.002106083,0.0011629454,0.0012651719,0.0053292494],"category_scores_gemma":[0.0022559746,0.0002789491,0.0005034865,0.0006394144,0.0018645079,0.0022744492,0.0018204483,0.0011011988,0.00039152917],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022637269,0.000016441047,0.00017186899,0.000016056454,0.000012385157,0.000044131317,0.00007842388,0.02570735,0.0005640677,0.97125083,0.0007423608,0.0013734062],"study_design_scores_gemma":[0.000014969544,0.0000085181955,0.00019580939,0.0000056668136,0.0000039801107,0.000032878346,0.00006011918,0.1964195,0.00014863188,0.80247915,0.000619485,0.000011251323],"about_ca_topic_score_codex":0.002979565,"about_ca_topic_score_gemma":0.0026626647,"teacher_disagreement_score":0.0053292494,"about_ca_system_score_codex":0.001467924,"about_ca_system_score_gemma":0.00060081633,"threshold_uncertainty_score":0.017828107},"labels":[],"label_agreement":null},{"id":"W2337861774","doi":"10.1016/j.aim.2017.12.021","title":"Superconnections, theta series, and period domains","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"University of Toronto","keywords":"Backslash; Mathematics; Cohomology; Quotient; Pure mathematics; Differential form; Series (stratigraphy); Hermitian matrix; Characteristic class; Combinatorics; Mathematical analysis","score_opus":0.023571120359796128,"score_gpt":0.32501957036380136,"score_spread":0.3014484500040052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2337861774","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5987633,0.011855393,0.07787574,0.009280049,0.0015137437,0.000037349302,0.0004937178,0.00029129794,0.29988942],"genre_scores_gemma":[0.95514363,0.00417206,0.0057184976,0.00042756152,0.0016176641,0.000032509146,0.0002246773,0.000081271275,0.032582182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963856,0.000106806336,0.000014522219,0.00008926659,0.00009011459,0.000060758994],"domain_scores_gemma":[0.99892706,0.00042777267,0.00019497216,0.0001419756,0.00012154812,0.00018660114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087225455,0.000605543,0.00051615667,0.0021626987,0.0013171007,0.0034713836,0.0005790684,0.0007965462,0.009756832],"category_scores_gemma":[0.0029818888,0.0002919089,0.0003863366,0.0019077965,0.0033574002,0.005051515,0.0019351377,0.0020252273,0.0007485642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014757516,0.000006510113,0.0001917783,0.000015422045,0.0000030694957,0.000018353978,0.000079858,0.00022437006,0.0001289372,0.9951958,0.0007482041,0.0033729621],"study_design_scores_gemma":[0.0000050664676,0.0000036725858,0.0001335792,0.00000546482,0.0000027523977,0.000041579413,0.000064512,0.0005441018,0.000054713564,0.9970818,0.002060031,0.00000268074],"about_ca_topic_score_codex":0.00060482434,"about_ca_topic_score_gemma":0.00057981285,"teacher_disagreement_score":0.009756832,"about_ca_system_score_codex":0.00095796643,"about_ca_system_score_gemma":0.00049506454,"threshold_uncertainty_score":0.03263986},"labels":[],"label_agreement":null},{"id":"W2339216765","doi":"10.1016/j.aim.2016.08.026","title":"On operator-valued bi-free distributions","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Free probability; Mathematics; Diagonal; Subalgebra; Scalar (mathematics); Cumulant; Operator (biology); Order (exchange); Pure mathematics; Mathematical proof; Free product; Operator algebra; Diagonal matrix; Algebra over a field; Discrete mathematics; Group (periodic table); Quantum mechanics","score_opus":0.021578119014174134,"score_gpt":0.3344246854435415,"score_spread":0.31284656642936737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2339216765","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08757336,0.0035285936,0.85277647,0.0063046473,0.0008035558,0.00006515195,0.0005352594,0.00029456973,0.04811845],"genre_scores_gemma":[0.83951557,0.00562989,0.084927045,0.003143693,0.0028347403,0.00033493014,0.0010122472,0.00047662633,0.062125273],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966131,0.0014237813,0.00016630051,0.000536893,0.0008870634,0.00037275543],"domain_scores_gemma":[0.9809382,0.012278226,0.0015801957,0.0011206885,0.0020976278,0.0019850605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0045848694,0.0021328584,0.0017168794,0.0035628239,0.0016715579,0.0045547965,0.002153701,0.0026847457,0.009315155],"category_scores_gemma":[0.017798495,0.0009806051,0.0013475413,0.002708191,0.00661922,0.008539186,0.0047548297,0.0053521055,0.0016419346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015494585,0.000010854484,0.00007701979,0.00002054924,0.0000074939703,0.000030931784,0.0000623325,0.0014885074,0.00021953999,0.9960984,0.00050575135,0.0014631876],"study_design_scores_gemma":[0.000008753571,0.000007637382,0.000085611544,0.0000124007265,0.0000034907546,0.000047142446,0.000016250608,0.015389093,0.00006888048,0.9836864,0.0006614816,0.000012939099],"about_ca_topic_score_codex":0.0019642827,"about_ca_topic_score_gemma":0.00152882,"teacher_disagreement_score":0.009315155,"about_ca_system_score_codex":0.0020751967,"about_ca_system_score_gemma":0.001471039,"threshold_uncertainty_score":0.031162322},"labels":[],"label_agreement":null},{"id":"W2350283620","doi":"","title":"Boundedness of the Higher Order Commutators on the Homogeneous Morrey-Herz Space","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Mathematics; Sublinear function; Homogeneous; Order (exchange); Pure mathematics; Space (punctuation); Hardy space; Mathematical analysis; Commutator; Algebra over a field; Combinatorics","score_opus":0.04661799956785136,"score_gpt":0.3755515238934237,"score_spread":0.3289335243255724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2350283620","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55476373,0.0015103103,0.38819593,0.0010937308,0.00022494985,0.00006431407,0.00027644643,0.0002460967,0.053624436],"genre_scores_gemma":[0.9576251,0.00072660996,0.021749202,0.00022793455,0.00028847528,0.000075133954,0.00015457398,0.00009215908,0.019060839],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988462,0.00026203418,0.00006542564,0.00023674373,0.00037312333,0.00021653381],"domain_scores_gemma":[0.9967648,0.0011481792,0.0004660241,0.0003495909,0.0007820715,0.0004893075],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002097579,0.0005956718,0.00068437745,0.0016192695,0.0010288972,0.0016438289,0.00085871445,0.000574448,0.00504708],"category_scores_gemma":[0.0034561865,0.00024928886,0.0012009545,0.0005033109,0.0028162892,0.0038433836,0.002021476,0.0018082941,0.000578402],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037052214,0.000014479403,0.00027232134,0.00004117869,0.000013819993,0.00008430757,0.00030800453,0.00075538125,0.0052281935,0.9905557,0.0002563324,0.0024331126],"study_design_scores_gemma":[0.000023867182,0.000091028465,0.0014935816,0.00001575017,0.000026198526,0.00027845864,0.00021806044,0.032747675,0.006825941,0.95523846,0.0029966717,0.000044335688],"about_ca_topic_score_codex":0.0012624195,"about_ca_topic_score_gemma":0.0007116429,"teacher_disagreement_score":0.00504708,"about_ca_system_score_codex":0.0011188996,"about_ca_system_score_gemma":0.00069774245,"threshold_uncertainty_score":0.016884148},"labels":[],"label_agreement":null},{"id":"W2353738682","doi":"","title":"The Uniqueness of Decomposition of Lie Triple Systems","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"L'Alliance Boviteq","funders":"","keywords":"Triple system; Mathematics; Pure mathematics; Uniqueness; Lie group; Simple (philosophy); Symmetric space; Simple Lie group; Decomposition; Lie algebra; Algebraic number; Space (punctuation); Algebra over a field; Mathematical analysis; Computer science","score_opus":0.017966515028862772,"score_gpt":0.34325119321402353,"score_spread":0.32528467818516077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2353738682","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53522944,0.0014534628,0.42427045,0.00092864624,0.00035712033,0.00007086818,0.00027454292,0.000156782,0.03725868],"genre_scores_gemma":[0.93500495,0.0006171844,0.050530642,0.00019292292,0.00016148471,0.00008592974,0.00037498458,0.000101686026,0.01293029],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992219,0.00017330477,0.000055414515,0.00022980904,0.00018566326,0.00013390346],"domain_scores_gemma":[0.9991518,0.0001493551,0.00010533247,0.00010289547,0.00033534432,0.0001553028],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009657085,0.00032708622,0.0005589555,0.0011778157,0.0016223467,0.0021184476,0.00045451906,0.000867346,0.0035561502],"category_scores_gemma":[0.002431179,0.00034653547,0.0008058075,0.00046100386,0.0022748206,0.0032746363,0.0024973787,0.0014436143,0.00081152056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021522337,0.000007657788,0.0004499674,0.000038646624,0.0000097426255,0.00012578501,0.00036453758,0.0006276207,0.003326788,0.9885417,0.00052918796,0.00595692],"study_design_scores_gemma":[0.00001033614,0.00004097554,0.0005042835,0.00002708589,0.000010425456,0.00047562865,0.0005822802,0.007609536,0.0052493555,0.9800394,0.0054260846,0.00002462027],"about_ca_topic_score_codex":0.0005298432,"about_ca_topic_score_gemma":0.00031792984,"teacher_disagreement_score":0.0035561502,"about_ca_system_score_codex":0.00067146245,"about_ca_system_score_gemma":0.0006905503,"threshold_uncertainty_score":0.011896551},"labels":[],"label_agreement":null},{"id":"W2359447314","doi":"","title":"Approximation on Two-point Homogeneous Spaces","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Homogeneous; Point (geometry); Pure mathematics; Mathematical analysis; Combinatorics; Geometry","score_opus":0.025368445272728815,"score_gpt":0.3245863331894929,"score_spread":0.2992178879167641,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2359447314","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18721494,0.003310391,0.7751058,0.0018302327,0.00039555447,0.000039116592,0.00018462901,0.00027831647,0.03164108],"genre_scores_gemma":[0.89396316,0.002795003,0.07139844,0.0002543518,0.0005646298,0.0000814336,0.0003724345,0.00012540144,0.03044514],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987319,0.0004469095,0.00005390323,0.00016202855,0.00046261022,0.00014249785],"domain_scores_gemma":[0.9973162,0.0013920686,0.00027037307,0.00027692682,0.0004541987,0.0002903281],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020794997,0.0010023974,0.0013118983,0.002387273,0.0008942228,0.0026373346,0.0013868621,0.001079213,0.0033678145],"category_scores_gemma":[0.005366301,0.000405683,0.0009804042,0.0021914586,0.0030251185,0.004851081,0.0027363512,0.0028187206,0.00052318594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058736165,0.000016041502,0.00016424038,0.00003956921,0.000014594537,0.00003486301,0.00014846388,0.00437336,0.0009098845,0.9878028,0.00044550828,0.005991892],"study_design_scores_gemma":[0.000018626375,0.000038835697,0.00023844533,0.000011678341,0.000015065251,0.00006050396,0.0000749124,0.06161659,0.00085589977,0.93483746,0.0022200996,0.000011928726],"about_ca_topic_score_codex":0.0017292374,"about_ca_topic_score_gemma":0.00071881403,"teacher_disagreement_score":0.0033678145,"about_ca_system_score_codex":0.002037531,"about_ca_system_score_gemma":0.0005246684,"threshold_uncertainty_score":0.014783323},"labels":[],"label_agreement":null},{"id":"W2362891072","doi":"","title":"Recent Progress on Dipolarizations in Lie Algebras and Homogeneous Parak Manifolds","year":2001,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"L'Alliance Boviteq","funders":"","keywords":"Mathematics; Homogeneous; Lie algebra; Pure mathematics; Field (mathematics); Algebra over a field; Lie group; Lie conformal algebra; Killing form; Lie theory; Adjoint representation of a Lie algebra; Combinatorics","score_opus":0.03113330295561594,"score_gpt":0.33509544387974993,"score_spread":0.303962140924134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2362891072","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09144676,0.6901795,0.0618362,0.014089421,0.0024968695,0.000041856223,0.0002838276,0.0004149762,0.13921055],"genre_scores_gemma":[0.37304342,0.5698889,0.033183206,0.0016400091,0.009476626,0.000031562868,0.00040200155,0.00010625795,0.012228075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950373,0.00010437274,0.000042792268,0.00012129928,0.00017595413,0.000051815645],"domain_scores_gemma":[0.99856347,0.00055321073,0.00014120137,0.00016042641,0.0004440851,0.00013763637],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014455761,0.00045338165,0.0007428214,0.0018512083,0.0005380461,0.0016421566,0.000597701,0.0006231382,0.0029541983],"category_scores_gemma":[0.0014792369,0.0002317297,0.0003109275,0.0022332815,0.0017099141,0.0049533625,0.0012092135,0.0012473464,0.0006856857],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010580116,0.000075058604,0.0007600086,0.0025724494,0.000041590523,0.00019096606,0.0009466817,0.0023219355,0.0058126217,0.74407494,0.00811677,0.23498118],"study_design_scores_gemma":[0.00002977328,0.00021108966,0.0021921683,0.00043112025,0.00008142609,0.0009016706,0.0008298289,0.0052274372,0.0056950473,0.60684466,0.37747213,0.00008359907],"about_ca_topic_score_codex":0.00044458776,"about_ca_topic_score_gemma":0.0004150684,"teacher_disagreement_score":0.0029541983,"about_ca_system_score_codex":0.0008387311,"about_ca_system_score_gemma":0.00077983405,"threshold_uncertainty_score":0.009882748},"labels":[],"label_agreement":null},{"id":"W2404757328","doi":"10.1016/j.aim.2016.05.008","title":"Flow by powers of the Gauss curvature","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Division of Mathematical Sciences; Australian Research Council; Natural Sciences and Engineering Research Council of Canada; Tsinghua University; National Science Foundation","keywords":"Mathematics; Regular polygon; Mean curvature flow; Limit (mathematics); Curvature; Flow (mathematics); Gauss; Gaussian curvature; Mathematical analysis; Mixed volume; Pure mathematics; Convex body; Geometry; Mean curvature; Convex optimization; Physics","score_opus":0.010267045469434886,"score_gpt":0.2773153313679953,"score_spread":0.2670482858985604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2404757328","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28395087,0.00782906,0.42794785,0.008799587,0.002739422,0.00011303743,0.00045443935,0.00081246434,0.26735324],"genre_scores_gemma":[0.89274997,0.003927719,0.035085097,0.00089364254,0.0034399934,0.00007732548,0.00015748333,0.0006093043,0.063059546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991357,0.00029674298,0.00004229621,0.00018843918,0.00024733698,0.00008954476],"domain_scores_gemma":[0.99832255,0.0006500511,0.00022732471,0.0001973064,0.00031185627,0.0002909505],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018090663,0.0014639659,0.0010732148,0.0041101733,0.0011456765,0.0032325676,0.00095751014,0.001209255,0.008130798],"category_scores_gemma":[0.004997334,0.00061579375,0.0012509116,0.0011850953,0.004888121,0.009132262,0.002812308,0.0039942013,0.0014231177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016492088,0.000008561273,0.000107511274,0.000018190085,0.000006027883,0.00004195288,0.00015776663,0.0008048776,0.00050332537,0.99391973,0.0006955873,0.0037199827],"study_design_scores_gemma":[0.0000071636996,0.000013359018,0.00014384738,0.000008454661,0.000006014294,0.00008354851,0.000024570947,0.005360285,0.00019514923,0.9908915,0.0032561608,0.000009996535],"about_ca_topic_score_codex":0.0011217699,"about_ca_topic_score_gemma":0.00076397235,"teacher_disagreement_score":0.008130798,"about_ca_system_score_codex":0.0016454605,"about_ca_system_score_gemma":0.00059917255,"threshold_uncertainty_score":0.027200222},"labels":[],"label_agreement":null},{"id":"W2431296028","doi":"10.1016/j.aim.2017.04.026","title":"Superconformal minimal models and admissible Jack polynomials","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Fonds de recherche du Québec – Nature et technologies; Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Vertex (graph theory); Pure mathematics; Polynomial; Mathematical proof; Symmetric function; Algebra over a field; Realisation; Field (mathematics); Operator (biology); Combinatorics; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.06156025779168841,"score_gpt":0.35470737524587365,"score_spread":0.29314711745418526,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2431296028","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5073301,0.0021034514,0.12254503,0.007930035,0.0008939582,0.000066823006,0.000569951,0.00040881988,0.35815182],"genre_scores_gemma":[0.952591,0.000709122,0.00978873,0.0006158326,0.00085550715,0.000066217406,0.00042123272,0.00014217052,0.034810107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921215,0.00022066628,0.000027831336,0.00010799679,0.000275228,0.00015601197],"domain_scores_gemma":[0.9993073,0.00015583588,0.00012729099,0.000109059816,0.00014022387,0.0001602429],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077480014,0.0010418037,0.0008238044,0.0019381663,0.0019213229,0.0043597193,0.0012905643,0.0016367994,0.008695924],"category_scores_gemma":[0.002136459,0.000508298,0.0006746009,0.0011387374,0.0033229017,0.004847544,0.0020706228,0.0029979812,0.0013548468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006858593,0.000010589035,0.000050844,0.0000075224543,0.0000013440281,0.000019525556,0.00004480976,0.00018518319,0.00015335399,0.9983429,0.0004372875,0.00073977903],"study_design_scores_gemma":[0.000005080428,0.0000027229592,0.0000492192,0.0000039858637,0.0000015387169,0.000028299139,0.000032554344,0.0013027949,0.000066245695,0.9976624,0.0008419602,0.0000031224952],"about_ca_topic_score_codex":0.0015172195,"about_ca_topic_score_gemma":0.0019920403,"teacher_disagreement_score":0.008695924,"about_ca_system_score_codex":0.0015402941,"about_ca_system_score_gemma":0.0009880771,"threshold_uncertainty_score":0.029090762},"labels":[],"label_agreement":null},{"id":"W2464480117","doi":"10.1016/j.aim.2016.05.027","title":"Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Orthogonal polynomials; Riesz transform; Invariant (physics); Polynomial; Pure mathematics; Orthogonal group; Mathematical analysis; Sobolev inequality; Laplace transform; Sobolev space","score_opus":0.04224047421337955,"score_gpt":0.3768626971205025,"score_spread":0.33462222290712296,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2464480117","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.106468566,0.008246893,0.843804,0.0033634787,0.0009035124,0.000051071976,0.00023673438,0.00018088207,0.036745034],"genre_scores_gemma":[0.7348304,0.00822508,0.21492195,0.0010929655,0.0022078948,0.00019185459,0.00057198707,0.0003681952,0.037589785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888307,0.00049086806,0.00007677963,0.00014247769,0.00029592394,0.00011090525],"domain_scores_gemma":[0.99767965,0.0011999004,0.00029042613,0.0001920746,0.00037610222,0.0002618852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036890951,0.0015820521,0.0014673643,0.003616915,0.0011958281,0.0035476899,0.0015346593,0.0020736558,0.0043346947],"category_scores_gemma":[0.008924668,0.0005355439,0.0014736139,0.001859409,0.004146267,0.005411646,0.0027660236,0.0039525605,0.0005645264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012145203,0.000008874722,0.000045536763,0.000023221024,0.0000061905876,0.000025441845,0.00007676994,0.0017843427,0.0004031978,0.9946715,0.00035028928,0.002592319],"study_design_scores_gemma":[0.000007844641,0.000010300578,0.00009633116,0.000019107698,0.000006969839,0.000042692303,0.0000646717,0.049165606,0.00017993993,0.94881487,0.0015782263,0.0000134197335],"about_ca_topic_score_codex":0.0024170417,"about_ca_topic_score_gemma":0.0021763514,"teacher_disagreement_score":0.0043346947,"about_ca_system_score_codex":0.0016910889,"about_ca_system_score_gemma":0.0010779045,"threshold_uncertainty_score":0.01951003},"labels":[],"label_agreement":null},{"id":"W2465182857","doi":"10.1016/j.aim.2017.04.008","title":"Finiteness theorems on hypersurfaces in partial differential-algebraic geometry","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Codimension; Algebraic number; Rank (graph theory); Variety (cybernetics); Dimension (graph theory); Algebraic variety; Constant (computer programming); Differential algebraic geometry; Field (mathematics); Algebraic geometry; Combinatorics; Mathematical analysis; Differential equation; Ordinary differential equation; Differential algebraic equation","score_opus":0.04111418697068445,"score_gpt":0.33636866765833545,"score_spread":0.295254480687651,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2465182857","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41677442,0.008195082,0.33963686,0.010797616,0.0015033353,0.00011166294,0.0013476358,0.00056508055,0.2210683],"genre_scores_gemma":[0.95080733,0.002629412,0.021941973,0.0008581303,0.0011316097,0.00009862853,0.000724758,0.00017888128,0.021629207],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989221,0.00030886385,0.00006951819,0.0002647719,0.00030119007,0.00013358286],"domain_scores_gemma":[0.99720937,0.0013541153,0.00025205885,0.00025575096,0.00045959023,0.00046915567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022608743,0.0015572454,0.0011479143,0.0045966813,0.002366608,0.0038970378,0.0017175261,0.0013210361,0.0066429623],"category_scores_gemma":[0.0048095128,0.0006617214,0.0013229777,0.0021610465,0.0057286466,0.010345787,0.0046049426,0.0050022085,0.00062340614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009856671,0.0000059238782,0.00012123352,0.000022496011,0.0000057885613,0.000027224694,0.00014333817,0.00023453258,0.00020508605,0.9973265,0.00043325886,0.0014647471],"study_design_scores_gemma":[0.0000070673227,0.0000065690815,0.000119405726,0.000010497332,0.0000069069206,0.00004043546,0.000050966122,0.0011702237,0.00013318015,0.9969657,0.0014838071,0.0000053139834],"about_ca_topic_score_codex":0.001458677,"about_ca_topic_score_gemma":0.0011321041,"teacher_disagreement_score":0.0066429623,"about_ca_system_score_codex":0.0025733758,"about_ca_system_score_gemma":0.00074207777,"threshold_uncertainty_score":0.022222936},"labels":[],"label_agreement":null},{"id":"W2481044640","doi":"10.1016/j.aim.2018.06.008","title":"Homogeneous families on trees and subsymmetric basic sequences","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Ministerio de Economía y Competitividad; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Homogeneous; Banach space; Space (punctuation); Set (abstract data type); Argument (complex analysis); Pure mathematics; Discrete mathematics; Combinatorics; Computer science","score_opus":0.02558590798704838,"score_gpt":0.327534014627073,"score_spread":0.3019481066400246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2481044640","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5857577,0.0015742059,0.3042306,0.0012955179,0.0003508827,0.000082442384,0.00065764826,0.0002966464,0.10575445],"genre_scores_gemma":[0.9338382,0.0011207408,0.028428953,0.00026527853,0.0004459298,0.00009951401,0.00065518526,0.00014562624,0.035000507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993463,0.00017547152,0.000038772458,0.00012523784,0.0001894188,0.00012479204],"domain_scores_gemma":[0.9983034,0.0007015729,0.00020418396,0.000138049,0.00032160044,0.00033115604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009983521,0.0006068121,0.0008686226,0.0026947893,0.0020120447,0.0022728203,0.00079249154,0.0007507636,0.006944187],"category_scores_gemma":[0.0023189983,0.0005231176,0.0007988772,0.0022811573,0.0021846748,0.005622158,0.002417121,0.0017546079,0.0007183258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001844485,0.000007770687,0.00016413366,0.000015510434,0.000005002279,0.00007219757,0.0002880583,0.0001900961,0.00064827903,0.995826,0.0003405019,0.0024240443],"study_design_scores_gemma":[0.000011172907,0.000014733223,0.0003884463,0.000007351302,0.000011427964,0.0001602434,0.0001885207,0.0016294868,0.000432824,0.99396896,0.0031791655,0.000007828503],"about_ca_topic_score_codex":0.000882099,"about_ca_topic_score_gemma":0.0010104,"teacher_disagreement_score":0.006944187,"about_ca_system_score_codex":0.0011928544,"about_ca_system_score_gemma":0.0004028524,"threshold_uncertainty_score":0.023230612},"labels":[],"label_agreement":null},{"id":"W2484823650","doi":"10.1016/j.aim.2017.04.027","title":"Higher rank partial and false theta functions and representation theory","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Theta function; Mathematics; Modulo; Rank (graph theory); Pure mathematics; Representation theory; Logarithm; Ramanujan theta function; Representation (politics); Modular form; Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.044098255899359284,"score_gpt":0.3520186690137589,"score_spread":0.3079204131143996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2484823650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35820964,0.026685644,0.27011377,0.05252641,0.0032982696,0.000054816384,0.0009941165,0.0006909291,0.28742632],"genre_scores_gemma":[0.93852705,0.005273098,0.015506931,0.0013087363,0.0031156174,0.0000558974,0.00040903935,0.00013724786,0.03566631],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983859,0.0007355407,0.00006386293,0.00026353676,0.0003869305,0.00016421273],"domain_scores_gemma":[0.9973037,0.0014189703,0.00037347505,0.00032622734,0.00032580478,0.00025194016],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023111228,0.0016270719,0.0011200892,0.003190928,0.0020328483,0.007602138,0.0013754902,0.0023503317,0.009612594],"category_scores_gemma":[0.006757719,0.00066241046,0.0007926762,0.0027167874,0.006451754,0.010253319,0.0027684078,0.006043823,0.0012851041],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000082293,0.000005678003,0.000087976994,0.00001964729,0.00000298273,0.000018501189,0.00008658198,0.00019670115,0.00006387961,0.99671715,0.00087941135,0.0019132256],"study_design_scores_gemma":[0.000003833766,0.0000021037456,0.00004048239,0.0000058167548,0.000002505726,0.000033754244,0.000025698255,0.0006339348,0.000035564553,0.99780864,0.0014039567,0.0000036046235],"about_ca_topic_score_codex":0.0009555343,"about_ca_topic_score_gemma":0.00068523077,"teacher_disagreement_score":0.009612594,"about_ca_system_score_codex":0.0021806185,"about_ca_system_score_gemma":0.00095823884,"threshold_uncertainty_score":0.032157302},"labels":[],"label_agreement":null},{"id":"W2494781916","doi":"10.1016/j.aim.2016.06.001","title":"Topology of the maximal ideal space of H∞ revisited","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Maximal ideal; Compactification (mathematics); Holomorphic function; Ideal (ethics); Bounded function; Cohomology; Pure mathematics; Discrete mathematics; Combinatorics; Topology (electrical circuits); Mathematical analysis","score_opus":0.019941629997958624,"score_gpt":0.30995461718710365,"score_spread":0.29001298718914503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2494781916","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48033637,0.010985763,0.14818779,0.01599798,0.0011864261,0.000058686408,0.000724307,0.0003055261,0.34221706],"genre_scores_gemma":[0.973643,0.0016288408,0.0074549587,0.00038889036,0.0008943374,0.000028622617,0.00019862274,0.000057184527,0.015705701],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991473,0.00026990764,0.000040871666,0.00016497709,0.0002246298,0.00015230989],"domain_scores_gemma":[0.9984091,0.0005268712,0.00021545628,0.000110327186,0.00026396394,0.00047436313],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017325297,0.0006723938,0.0009146973,0.002707447,0.0022692613,0.0041494444,0.0011210884,0.001068464,0.0072983652],"category_scores_gemma":[0.0024964237,0.00034977857,0.0006459019,0.0010993253,0.005723323,0.0070888125,0.0029772413,0.003248141,0.0005665438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015263384,0.000005048463,0.00007692282,0.000014803658,0.0000031762588,0.000027994281,0.00010061707,0.00010403012,0.00021693819,0.99849606,0.00022413493,0.0007150568],"study_design_scores_gemma":[0.000014257188,0.00002475236,0.00037814627,0.00001305123,0.0000057438583,0.00012434102,0.0002184612,0.0014481073,0.00039806016,0.99390715,0.0034584345,0.000009559928],"about_ca_topic_score_codex":0.00091899093,"about_ca_topic_score_gemma":0.000482858,"teacher_disagreement_score":0.0072983652,"about_ca_system_score_codex":0.001761795,"about_ca_system_score_gemma":0.0007258007,"threshold_uncertainty_score":0.024415493},"labels":[],"label_agreement":null},{"id":"W2498213723","doi":"10.1016/j.aim.2016.07.012","title":"Multiplier ideal sheaves associated with weights of log canonical threshold one","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Centre de Recherches Mathématiques","keywords":"Mathematics; Multiplier (economics); Ideal (ethics); Pure mathematics","score_opus":0.024568480804407607,"score_gpt":0.28929998706724996,"score_spread":0.26473150626284236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2498213723","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8082588,0.0006331405,0.08204501,0.0018485271,0.00067309936,0.0000946616,0.00037421397,0.00064481585,0.105427705],"genre_scores_gemma":[0.9642824,0.00032169634,0.005667123,0.00022211584,0.00048743284,0.00006672856,0.00023772329,0.00019681189,0.02851801],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992085,0.00009797922,0.000032128122,0.00013232438,0.0002620225,0.000266992],"domain_scores_gemma":[0.99876827,0.00019026925,0.00022086126,0.00010073582,0.00014046363,0.00057933014],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077301316,0.0011308187,0.0012542994,0.0053400714,0.0025519317,0.004153975,0.0011771495,0.0011955036,0.010043296],"category_scores_gemma":[0.002447138,0.00068166567,0.00073230406,0.0022980243,0.0030805392,0.0062967907,0.0036680992,0.0029723395,0.0013804862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008300126,0.000031431733,0.00037996183,0.000023647981,0.000010036628,0.00012102254,0.00023906653,0.00025721727,0.0017193456,0.99401784,0.00065802265,0.0024594737],"study_design_scores_gemma":[0.00003393356,0.00003548834,0.00074376335,0.00001679926,0.000018356059,0.00035240425,0.00017000177,0.0031854839,0.0013961152,0.9915456,0.0024707837,0.000031321997],"about_ca_topic_score_codex":0.0006214065,"about_ca_topic_score_gemma":0.0006658721,"teacher_disagreement_score":0.010043296,"about_ca_system_score_codex":0.0017067654,"about_ca_system_score_gemma":0.0006532771,"threshold_uncertainty_score":0.033598185},"labels":[],"label_agreement":null},{"id":"W2509158088","doi":"10.1016/j.aim.2017.11.031","title":"On stability of Abrikosov vortex lattices","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Vortex; Superconductivity; Physics; Lattice (music); Type-II superconductor; Higgs boson; Ginzburg–Landau theory; Abelian group; Context (archaeology); Magnetic field; Condensed matter physics; Mathematical physics; Quantum mechanics; Mathematics; Pure mathematics; Mechanics","score_opus":0.0742093867782107,"score_gpt":0.39176001163668994,"score_spread":0.31755062485847924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2509158088","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7166116,0.004907195,0.122514345,0.00911883,0.0011741332,0.00009036005,0.0004945211,0.00030309518,0.14478593],"genre_scores_gemma":[0.97753,0.0010451744,0.007886969,0.0004832904,0.0006130006,0.00007134281,0.00023716727,0.000112577814,0.012020538],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947673,0.0001915445,0.000019090849,0.00006738397,0.00014796246,0.000097272976],"domain_scores_gemma":[0.99790525,0.0008563329,0.00033562523,0.00014004837,0.00031633218,0.00044650087],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011709811,0.0007151939,0.00079692353,0.002410081,0.0018209715,0.0028865766,0.0010839165,0.0011810204,0.0063484916],"category_scores_gemma":[0.006133617,0.0003257602,0.00053277414,0.000680699,0.002805359,0.0035395087,0.003082729,0.0022587918,0.00080519886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078351215,0.000023459455,0.00036408237,0.00004497337,0.000009257248,0.00005115813,0.00010203899,0.004184203,0.0010871855,0.9891205,0.0014209427,0.0035139085],"study_design_scores_gemma":[0.000017598095,0.000012784012,0.00015361844,0.000014808713,0.0000031097193,0.000041804662,0.0000630485,0.02326661,0.0002236579,0.9754589,0.0007348196,0.000009191406],"about_ca_topic_score_codex":0.0008080863,"about_ca_topic_score_gemma":0.0006941755,"teacher_disagreement_score":0.0063484916,"about_ca_system_score_codex":0.0011128305,"about_ca_system_score_gemma":0.0007070306,"threshold_uncertainty_score":0.02123779},"labels":[],"label_agreement":null},{"id":"W2513616126","doi":"10.1016/j.aim.2017.06.018","title":"Comultiplication for shifted Yangians and quantum open Toda lattice","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Toronto","funders":"Institut Périmètre de physique théorique; Industry Canada; Ontario Ministry of Economic Development and Innovation; Natural Sciences and Engineering Research Council of Canada; Government of Canada","keywords":"Yangian; Coproduct; Toda lattice; Lie algebra; Lattice (music); Quantum; Pure mathematics; Mathematics; Integrable system; Algebra over a field; Physics; Quantum mechanics","score_opus":0.07824592874602226,"score_gpt":0.4064661005482316,"score_spread":0.32822017180220936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2513616126","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6929862,0.0031606972,0.13085157,0.008342724,0.0021958177,0.00008511056,0.0005660412,0.0005575343,0.16125438],"genre_scores_gemma":[0.9542459,0.0010076744,0.01500608,0.0008850215,0.0013189286,0.0001001526,0.0003145063,0.00017430563,0.02694742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988728,0.0002694601,0.00006122313,0.00021953067,0.00033508957,0.0002419478],"domain_scores_gemma":[0.9990089,0.00020189656,0.00015543718,0.00013833363,0.00015715233,0.00033828692],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012728912,0.0012608868,0.0015140545,0.0032883738,0.0044123437,0.005244933,0.0019430908,0.0021716252,0.008847991],"category_scores_gemma":[0.002552437,0.00063942233,0.0013186792,0.0023873239,0.0052690334,0.006216512,0.0035131173,0.0035634232,0.0012130783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017226093,0.000013600593,0.00006471523,0.000010729035,0.000003418225,0.000043146814,0.0000909053,0.00025598443,0.00021326565,0.997897,0.0003778047,0.0010122209],"study_design_scores_gemma":[0.000008430809,0.000004983698,0.000035724366,0.0000032634214,0.0000019933225,0.00003088097,0.0000319309,0.001358297,0.00006281647,0.99786407,0.0005916956,0.000005838142],"about_ca_topic_score_codex":0.0022326717,"about_ca_topic_score_gemma":0.0018882665,"teacher_disagreement_score":0.008847991,"about_ca_system_score_codex":0.0029370403,"about_ca_system_score_gemma":0.0016048538,"threshold_uncertainty_score":0.029599428},"labels":[],"label_agreement":null},{"id":"W2517723927","doi":"10.1016/j.aim.2016.08.007","title":"The <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"> <mml:msubsup> <mml:mrow> <mml:mi mathvariant=\"double-struck\">Z</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> <mml:mrow> <mml:mi>n</mml:mi> </mml:mrow> </mml:msubsup> </mml:math> Dirac–Dunkl operator and a higher rank Bannai–Ito algebra","year":2016,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":34,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Vlaamse regering; Natural Sciences and Engineering Research Council of Canada; Fonds Wetenschappelijk Onderzoek; Centre de Recherches Mathématiques","keywords":"Mathematics; Basis (linear algebra); Subalgebra; Dirac operator; Algebra over a field; Scalar (mathematics); Operator (biology); Pure mathematics; Combinatorics; Geometry","score_opus":0.01403666277095365,"score_gpt":0.2436069163798416,"score_spread":0.22957025360888797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2517723927","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0025862462,0.00059270917,0.094168045,0.00786194,0.0032302777,0.00023349116,0.09369855,0.05966189,0.73796684],"genre_scores_gemma":[0.027071774,0.0014734336,0.076469794,0.0021647601,0.0011657854,0.00036982656,0.10889465,0.07793803,0.704452],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941576,0.000092292976,0.0000547173,0.00009261489,0.00028360888,0.00006105973],"domain_scores_gemma":[0.9982393,0.00035929118,0.00011441572,0.00045120946,0.0006204124,0.0002153453],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008098257,0.001143504,0.00087302615,0.0026039195,0.001168099,0.0046743867,0.002045173,0.0011812245,0.6207422],"category_scores_gemma":[0.0035739816,0.0007911941,0.0008945628,0.0039671245,0.0006563956,0.0053313156,0.0019763957,0.002491802,0.4689039],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049621343,0.000028222257,0.00010504597,0.00013409472,0.0000057434186,0.000037918064,0.000082804945,0.00014676135,0.0013541357,0.034014065,0.9318656,0.03217613],"study_design_scores_gemma":[0.000027719243,0.000013297542,0.0005485451,0.000050405422,0.00000497766,0.00010208603,0.000066031535,0.0013227214,0.0046029952,0.022228144,0.9709927,0.000040341798],"about_ca_topic_score_codex":0.006862371,"about_ca_topic_score_gemma":0.0071143215,"teacher_disagreement_score":0.6207422,"about_ca_system_score_codex":0.0020197874,"about_ca_system_score_gemma":0.0011971485,"threshold_uncertainty_score":0.5409652},"labels":[],"label_agreement":null},{"id":"W2519913403","doi":"10.1016/j.aim.2017.10.009","title":"Multiplicity-free Kronecker products of characters of the symmetric groups","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Leibniz-Gemeinschaft; Engineering and Physical Sciences Research Council; Banff International Research Station for Mathematical Innovation and Discovery; Royal Commission for the Exhibition of 1851; American Institute of Mathematics","keywords":"Multiplicity (mathematics); Kronecker delta; Mathematics; Tensor product; Conjecture; Symmetric group; Skew; Symmetric tensor; Tensor decomposition; Pure mathematics; Tensor (intrinsic definition); Combinatorics; Physics; Exact solutions in general relativity; Geometry; Mathematical analysis","score_opus":0.07168930207559782,"score_gpt":0.3633999178022598,"score_spread":0.29171061572666196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2519913403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7700319,0.0016421251,0.13328917,0.0018353006,0.0010674156,0.000052273368,0.0003422466,0.0002799763,0.09145954],"genre_scores_gemma":[0.9663068,0.00048234302,0.009227498,0.00025447088,0.0005468225,0.00003507315,0.00016363291,0.00011358587,0.02286983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99850744,0.00044715562,0.00010646148,0.0002746703,0.0004155732,0.00024875547],"domain_scores_gemma":[0.997026,0.00094620755,0.0005469608,0.00034606442,0.00042675177,0.00070787594],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017288052,0.0010735656,0.00084811635,0.0025128233,0.0020493513,0.005217697,0.0013656841,0.0012120658,0.0061595617],"category_scores_gemma":[0.004814025,0.00081259885,0.00083523034,0.0012893055,0.0042630374,0.0064396765,0.0028492971,0.002727748,0.0011759698],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041387368,0.000019535451,0.00024741012,0.000021012596,0.000005541266,0.00007558647,0.0002854612,0.0003204049,0.0006323345,0.9952081,0.00037623587,0.0027669787],"study_design_scores_gemma":[0.0000108027125,0.000023855151,0.00018164761,0.00001089923,0.000006001318,0.000151882,0.00007745901,0.0018624357,0.0005421,0.9958198,0.0012976546,0.000015507485],"about_ca_topic_score_codex":0.00045020957,"about_ca_topic_score_gemma":0.0004630655,"teacher_disagreement_score":0.0061595617,"about_ca_system_score_codex":0.0013242024,"about_ca_system_score_gemma":0.0009153229,"threshold_uncertainty_score":0.020605803},"labels":[],"label_agreement":null},{"id":"W2522854412","doi":"10.1016/j.aim.2021.107774","title":"Choquet order and hyperrigidity for function systems","year":2021,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Separable space; Order (exchange); Commutative property; Conjecture; Dilation (metric space); Pure mathematics; Choquet theory; Set function; Extension (predicate logic); Convex set; Regular polygon; Discrete mathematics; Set (abstract data type); Algebra over a field; Combinatorics; Mathematical analysis","score_opus":0.0510797694435923,"score_gpt":0.37767801493924674,"score_spread":0.3265982454956544,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2522854412","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47126833,0.0026915793,0.37938827,0.0068108356,0.0010997761,0.00011374327,0.000393502,0.00033487647,0.1378991],"genre_scores_gemma":[0.9405396,0.0011209279,0.026787179,0.0008773014,0.000992624,0.000108487446,0.00021461555,0.00015188681,0.02920742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852824,0.0003908538,0.000083095525,0.00024146677,0.00042024528,0.00033608114],"domain_scores_gemma":[0.9960354,0.0015948293,0.00042197132,0.00045308753,0.0006778674,0.00081686606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029631867,0.0009795504,0.0015587913,0.0033925553,0.0035006646,0.004710286,0.0012469895,0.0018428355,0.008211188],"category_scores_gemma":[0.006048328,0.0006710476,0.0014477562,0.0013447169,0.007223467,0.0070716157,0.003812438,0.003987435,0.0007477141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011408721,0.000004587879,0.000041087435,0.000009219083,0.0000027029123,0.000012890434,0.00008297998,0.00022155678,0.00022299166,0.99871683,0.00014812645,0.00052564434],"study_design_scores_gemma":[0.0000061331,0.000007658658,0.000070360984,0.000003960696,0.0000019633678,0.000015274469,0.000032245232,0.002332042,0.000086762004,0.99696237,0.00047208072,0.000009107971],"about_ca_topic_score_codex":0.0030600226,"about_ca_topic_score_gemma":0.0027133245,"teacher_disagreement_score":0.008211188,"about_ca_system_score_codex":0.002689094,"about_ca_system_score_gemma":0.0017683551,"threshold_uncertainty_score":0.027469158},"labels":[],"label_agreement":null},{"id":"W2525970556","doi":"10.1016/j.aim.2019.02.010","title":"Fixed energy universality of Dyson Brownian motion","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Universality (dynamical systems); Mesoscopic physics; Brownian motion; Bounded function; Eigenvalues and eigenvectors; Mathematical physics; Random matrix; Mathematics; Homogenization (climate); Statistical physics; Physics; Quantum mechanics; Mathematical analysis","score_opus":0.02808056082188236,"score_gpt":0.3230913068734652,"score_spread":0.29501074605158284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2525970556","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64451975,0.0051100776,0.2598534,0.0042469245,0.000899281,0.000064989195,0.00047360474,0.00043670266,0.08439533],"genre_scores_gemma":[0.9679298,0.0014448479,0.010135436,0.0004659569,0.0007268526,0.000058681253,0.00022032569,0.00025032475,0.018767742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991841,0.00022012349,0.000038978957,0.0002059312,0.00020436976,0.00014647229],"domain_scores_gemma":[0.9969098,0.0013516935,0.00038338613,0.00031448994,0.00043358945,0.000607162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017324588,0.0011630257,0.0013974712,0.0031587519,0.001286668,0.0029281962,0.0015288652,0.0013845752,0.006067291],"category_scores_gemma":[0.007300711,0.0006172339,0.0013572108,0.0008362457,0.0035153115,0.0042090435,0.0033236141,0.0027797325,0.0005162802],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016621747,0.000012066094,0.00021175494,0.00003211825,0.000013848418,0.00005748643,0.00010041351,0.0014915826,0.00062923465,0.99564964,0.0004658978,0.0013193508],"study_design_scores_gemma":[0.000010182707,0.000014857534,0.00050827157,0.000022057748,0.000010351459,0.00009773678,0.000051481275,0.019520277,0.00025671604,0.9783426,0.0011473263,0.00001824036],"about_ca_topic_score_codex":0.0016604894,"about_ca_topic_score_gemma":0.0008978953,"teacher_disagreement_score":0.006067291,"about_ca_system_score_codex":0.0018631003,"about_ca_system_score_gemma":0.00070297654,"threshold_uncertainty_score":0.02029717},"labels":[],"label_agreement":null},{"id":"W2531399079","doi":"10.1016/j.aim.2018.01.025","title":"Twisted Hilbert modular surfaces, arithmetic intersections and the Jacquet–Langlands correspondence","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Mathematics; Arithmetic; Modular form; Shimura variety; Pure mathematics; Algebra over a field; Quadratic field; Riemann hypothesis; Quadratic equation; Geometry; Quadratic function","score_opus":0.021677473979638963,"score_gpt":0.31867967071342973,"score_spread":0.29700219673379075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2531399079","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.692209,0.004256429,0.08975974,0.009168266,0.0010146706,0.000046796384,0.00038253315,0.00036021203,0.20280242],"genre_scores_gemma":[0.96324223,0.00094020425,0.0074188835,0.00045133696,0.001003658,0.000028485982,0.00019959733,0.00010428627,0.026611209],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920124,0.00022295625,0.000033307668,0.00013157996,0.00026566754,0.0001452975],"domain_scores_gemma":[0.9993174,0.00017787862,0.00013055126,0.00009323833,0.00011331666,0.0001676212],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010911433,0.0008675184,0.0008452998,0.0031988472,0.002365183,0.004007386,0.0010564286,0.0017119976,0.007967767],"category_scores_gemma":[0.0022774022,0.0004468343,0.00069257274,0.0016881259,0.0037626906,0.0067893183,0.0035390495,0.0030410355,0.0009789426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015299345,0.000008117249,0.00010146655,0.000010269819,0.0000028548516,0.000044382483,0.00009740212,0.00019812264,0.00029697345,0.997269,0.0004395264,0.0015166025],"study_design_scores_gemma":[0.000008802874,0.000007978221,0.00016537763,0.000005364826,0.000003223391,0.00009017428,0.000066928806,0.001396959,0.0001515518,0.9967288,0.0013682485,0.000006622957],"about_ca_topic_score_codex":0.00072502095,"about_ca_topic_score_gemma":0.00050451024,"teacher_disagreement_score":0.007967767,"about_ca_system_score_codex":0.0014233129,"about_ca_system_score_gemma":0.000585435,"threshold_uncertainty_score":0.02665484},"labels":[],"label_agreement":null},{"id":"W2550273663","doi":"10.1016/j.aim.2016.10.037","title":"Chow ring of generically twisted varieties of complete flags","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Torsion (gastropod); Flag (linear algebra); Affine transformation; Pure mathematics; FLAGS register; Combinatorics; Discrete mathematics; Algebra over a field","score_opus":0.032178095400009044,"score_gpt":0.29827379208973687,"score_spread":0.2660956966897278,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2550273663","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9177479,0.0009828602,0.031569995,0.0008678929,0.00027676523,0.000051639265,0.00042653494,0.00021289653,0.047863387],"genre_scores_gemma":[0.985693,0.00038201877,0.0036247764,0.00010224746,0.0002981563,0.000028619495,0.0004206854,0.000056016303,0.009394547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983537,0.00036067376,0.00007273567,0.00035382624,0.0004025063,0.00045658418],"domain_scores_gemma":[0.9976961,0.0004849413,0.00043879074,0.00015449668,0.00031968617,0.0009060552],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017875981,0.0015774491,0.002026119,0.0054860553,0.0032646132,0.005279433,0.0022072983,0.0012516374,0.008494808],"category_scores_gemma":[0.0026521413,0.00096591143,0.001222288,0.0027828366,0.0058162995,0.0059442804,0.005774766,0.0028316719,0.000889776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028873584,0.000059807233,0.0014745848,0.00007427282,0.000046125795,0.00046252972,0.00088132295,0.0013828261,0.0022002785,0.9864065,0.0008296842,0.0058934246],"study_design_scores_gemma":[0.00013314307,0.00017422308,0.0031239933,0.000045411718,0.00008872887,0.00072536827,0.000630934,0.006386678,0.0014463828,0.9834964,0.0036759826,0.00007273359],"about_ca_topic_score_codex":0.0021222571,"about_ca_topic_score_gemma":0.0017070782,"teacher_disagreement_score":0.008494808,"about_ca_system_score_codex":0.0028166934,"about_ca_system_score_gemma":0.0010379881,"threshold_uncertainty_score":0.028417945},"labels":[],"label_agreement":null},{"id":"W2552136042","doi":"10.1016/j.aim.2019.01.044","title":"An alternating moment condition for bi-freeness","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Hausdorff Research Institute for Mathematics; Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics; National Science Foundation","keywords":"Mathematics; Brownian motion; Moment (physics); Monochromatic color; Unitary state; Construct (python library); Independence (probability theory); Pure mathematics; Mathematical analysis; Law; Quantum mechanics; Statistics","score_opus":0.023573240709606147,"score_gpt":0.3843510581500712,"score_spread":0.36077781744046505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2552136042","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1100112,0.0014791733,0.7261477,0.009858312,0.0015772831,0.0001367334,0.0015338797,0.00077354605,0.14848211],"genre_scores_gemma":[0.8766881,0.0010713022,0.060674604,0.0040188953,0.0023493348,0.00044228675,0.0012849063,0.0009105698,0.05255997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975017,0.00067855814,0.0001720073,0.0005661461,0.00067764986,0.00040391146],"domain_scores_gemma":[0.98351914,0.010293846,0.0010728566,0.0016191233,0.0019774097,0.0015175062],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003221111,0.0013433978,0.0015820046,0.002241524,0.001887378,0.002805882,0.0022347195,0.0033284856,0.026882637],"category_scores_gemma":[0.020597197,0.0009741385,0.0015608208,0.0017968443,0.004383712,0.011154764,0.00447103,0.0077062473,0.0038806647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060762755,0.000017495,0.00009831815,0.00003794955,0.000008660314,0.00006960859,0.0000968538,0.0006868821,0.0011171325,0.9929268,0.0021995734,0.0026799203],"study_design_scores_gemma":[0.000019969948,0.000018292698,0.00015722762,0.000013998318,0.0000075194316,0.00014439154,0.000026643298,0.009045164,0.00055600965,0.988106,0.0018791573,0.000025602556],"about_ca_topic_score_codex":0.0007721864,"about_ca_topic_score_gemma":0.0006095373,"teacher_disagreement_score":0.026882637,"about_ca_system_score_codex":0.0010267044,"about_ca_system_score_gemma":0.001185757,"threshold_uncertainty_score":0.08993143},"labels":[],"label_agreement":null},{"id":"W2554828541","doi":"10.1016/j.aim.2018.10.026","title":"Maximal subgroups of groups of intermediate growth","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Alexander von Humboldt-Stiftung","keywords":"Mathematics; Conjugacy class; Iterated function; Congruence subgroup; Finitely generated group; Combinatorics; Torsion (gastropod); Finitely-generated abelian group; Locally finite group; Congruence (geometry); Group (periodic table); Pure mathematics; Abelian group; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.019753090145193383,"score_gpt":0.3056514070445802,"score_spread":0.28589831689938683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2554828541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8325577,0.0009941036,0.06593045,0.002660094,0.00028965497,0.00008836568,0.0003429546,0.0004294034,0.09670735],"genre_scores_gemma":[0.9816326,0.00022235644,0.004819706,0.000152673,0.00020645902,0.000053922246,0.00039700133,0.00006253419,0.012452771],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992872,0.00016410834,0.000043521675,0.00014369354,0.00015850305,0.00020301329],"domain_scores_gemma":[0.9986339,0.00047397724,0.00019479342,0.00015068152,0.0001364502,0.00041023202],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093120954,0.0009187471,0.0009625555,0.0020515304,0.0018942703,0.0038909342,0.0008945069,0.0008229383,0.007162565],"category_scores_gemma":[0.0023442095,0.00039304222,0.0009736861,0.0010048959,0.00435577,0.0044933045,0.0039048344,0.0019123318,0.0008282425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016135337,0.000018291745,0.0006810326,0.000024334384,0.000010923916,0.00010313928,0.00079675356,0.00025646613,0.0016058428,0.9928757,0.0004860411,0.0029800814],"study_design_scores_gemma":[0.000051589803,0.00004931977,0.00076761626,0.000016234086,0.000025399046,0.00013889055,0.00063798745,0.0012952266,0.0016090496,0.9908593,0.004535502,0.000013814674],"about_ca_topic_score_codex":0.0008063951,"about_ca_topic_score_gemma":0.0007154758,"teacher_disagreement_score":0.007162565,"about_ca_system_score_codex":0.001273389,"about_ca_system_score_gemma":0.00069448445,"threshold_uncertainty_score":0.023961186},"labels":[],"label_agreement":null},{"id":"W2559699856","doi":"10.1016/j.aim.2021.108013","title":"On the Kodaira dimension of maximal orders","year":2021,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Michigan State University","keywords":"Mathematics; Algebraically closed field; Kodaira dimension; Divisor (algebraic geometry); Global dimension; Pure mathematics; Combinatorics; Dimension (graph theory)","score_opus":0.026562628096200393,"score_gpt":0.30620168210845217,"score_spread":0.27963905401225175,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2559699856","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67338216,0.0071226764,0.050679326,0.0080810385,0.0012534428,0.00004972581,0.0008086324,0.00029141083,0.2583316],"genre_scores_gemma":[0.97741574,0.0020463024,0.005681068,0.00033275355,0.0010759762,0.000040545965,0.00031560747,0.000092311195,0.012999829],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988952,0.0003191584,0.00006137286,0.00022246834,0.00027841848,0.00022343833],"domain_scores_gemma":[0.99613875,0.0019117034,0.00047335308,0.0003256903,0.00043346052,0.0007170652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020735175,0.0010962046,0.0015430988,0.0051548965,0.002706003,0.0060868184,0.0013901746,0.001240637,0.008779997],"category_scores_gemma":[0.0054054596,0.0007875504,0.00083025865,0.0026626799,0.0066657644,0.010952282,0.003759728,0.0043798904,0.0010052094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005235488,0.000018309609,0.00040594942,0.000028192637,0.000007059663,0.000030309175,0.00020783598,0.0004268967,0.0003464559,0.99609035,0.00065989,0.0017265063],"study_design_scores_gemma":[0.000010426851,0.000010330869,0.000475298,0.00001252607,0.000008397168,0.000055232835,0.00007805512,0.0014512064,0.00013665721,0.99625564,0.0014951644,0.000011101749],"about_ca_topic_score_codex":0.0020624266,"about_ca_topic_score_gemma":0.0013705603,"teacher_disagreement_score":0.008779997,"about_ca_system_score_codex":0.0024517775,"about_ca_system_score_gemma":0.00094722275,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W2569241987","doi":"10.1016/j.aim.2010.10.004","title":"Topological flatness of local models for ramified unitary groups. I. The odd dimensional case","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Hausdorff Research Institute for Mathematics; Hausdorff Center for Mathematics","keywords":"Mathematics; Unitary state; Flatness (cosmology); Pure mathematics; Moduli space; Moduli; Shimura variety; Conjecture; Unitary group; Group (periodic table); Algebraic number; Wedge (geometry); Algebraic variety; Algebra over a field; Geometry; Modular form; Mathematical analysis","score_opus":0.03212586503802213,"score_gpt":0.3185781780871633,"score_spread":0.2864523130491412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2569241987","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8774059,0.0012640336,0.02321856,0.0011589772,0.00012299085,0.000028462762,0.00015225947,0.0001604807,0.09648841],"genre_scores_gemma":[0.99487454,0.00018202777,0.0007140509,0.000064779946,0.000046607038,0.000007054967,0.00005961813,0.000010865429,0.004040568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971884,0.000058905207,0.000014904025,0.000047461934,0.000074087446,0.00008578245],"domain_scores_gemma":[0.9993974,0.00013918514,0.00009410277,0.00011214856,0.00007786016,0.00017923836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045275153,0.00043463032,0.00046571356,0.001211903,0.0012672443,0.002237059,0.00062586984,0.00066165143,0.0055500697],"category_scores_gemma":[0.0012511725,0.00021574114,0.0004049055,0.0005534521,0.0029696191,0.003040404,0.001466638,0.0013480958,0.00043421699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037928534,0.000015465032,0.0004465621,0.000030443287,0.0000047989183,0.00018749229,0.00030107633,0.00064074335,0.0012201875,0.9947837,0.00046054221,0.0018711351],"study_design_scores_gemma":[0.00001576646,0.000033052474,0.0009227164,0.000014412151,0.000008356703,0.00022009393,0.00043251325,0.0041933116,0.00056344015,0.9923781,0.0012051845,0.000013174954],"about_ca_topic_score_codex":0.0021957052,"about_ca_topic_score_gemma":0.0015546941,"teacher_disagreement_score":0.0055500697,"about_ca_system_score_codex":0.0008454327,"about_ca_system_score_gemma":0.00036774797,"threshold_uncertainty_score":0.018566787},"labels":[],"label_agreement":null},{"id":"W2582148562","doi":"10.1016/j.aim.2018.09.013","title":"Coproduct for Yangians of affine Kac–Moody algebras","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Coproduct; Affine transformation; Pure mathematics; Algebra over a field","score_opus":0.02639478503155452,"score_gpt":0.3408008700036302,"score_spread":0.3144060849720757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2582148562","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66102,0.0026047418,0.11049403,0.0040648803,0.0014960684,0.00016612477,0.00062550424,0.0005146742,0.219014],"genre_scores_gemma":[0.9582751,0.0008204517,0.00969845,0.00072235015,0.0010311557,0.00014770194,0.00044755964,0.0001216932,0.028735476],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99895453,0.00019100256,0.00006675605,0.00022806945,0.0003043794,0.00025522502],"domain_scores_gemma":[0.9988494,0.00022634784,0.00020858683,0.000118316435,0.00023503948,0.00036229278],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012878224,0.0013197385,0.0013315432,0.003661732,0.004767822,0.0054483367,0.0017007492,0.001997624,0.011275808],"category_scores_gemma":[0.0022875334,0.0007888761,0.0014987056,0.0023462498,0.005164741,0.006286186,0.0034312326,0.0035898858,0.0015573701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001825739,0.000019504221,0.00008548481,0.000015623209,0.0000062152717,0.000053071897,0.00019478503,0.00014740885,0.00031299598,0.99727386,0.0004293831,0.0014434633],"study_design_scores_gemma":[0.000015897076,0.00001132558,0.00010744007,0.000004635203,0.00000491061,0.000046482815,0.00006829346,0.0005841976,0.00011784531,0.9981737,0.0008564853,0.000008722601],"about_ca_topic_score_codex":0.001406517,"about_ca_topic_score_gemma":0.001280959,"teacher_disagreement_score":0.011275808,"about_ca_system_score_codex":0.0020046378,"about_ca_system_score_gemma":0.0013660515,"threshold_uncertainty_score":0.037721276},"labels":[],"label_agreement":null},{"id":"W2585981260","doi":"10.1016/j.aim.2017.10.027","title":"Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"H2020 European Research Council; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Cosmic censorship hypothesis; Event horizon; Physics; Infinity; Black hole (networking); Null (SQL); Spacetime; Horizon; Schwarzschild radius; Killing vector field; Mathematical physics; Space time; Wave equation; Corollary; Classical mechanics; Mathematical analysis; Mathematics; Pure mathematics; Quantum mechanics","score_opus":0.021239841335389968,"score_gpt":0.29194716730295317,"score_spread":0.2707073259675632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2585981260","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46741602,0.008333853,0.35751882,0.014695427,0.0015634837,0.00010775667,0.00070229673,0.0008729269,0.14878935],"genre_scores_gemma":[0.89256024,0.0037699272,0.030393042,0.0013949617,0.0026851778,0.00013329682,0.0012672603,0.00064133457,0.06715478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999446,0.00020170402,0.000038255002,0.00006188915,0.00016349826,0.000088690336],"domain_scores_gemma":[0.9969169,0.0010102367,0.00038760048,0.00020121202,0.0007537821,0.000730304],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002645676,0.001918896,0.0011667823,0.003595213,0.0016458019,0.0030385298,0.00212256,0.0020591032,0.00754932],"category_scores_gemma":[0.00889365,0.00060578116,0.0012146368,0.0012603501,0.003894454,0.0076687047,0.002876806,0.003847146,0.0012468838],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003116912,0.000020803265,0.0001871555,0.000045374247,0.0000095864225,0.000090195135,0.00013919307,0.0018419138,0.0011148368,0.99388736,0.0012132558,0.0014192095],"study_design_scores_gemma":[0.000028143146,0.000024272851,0.00047475597,0.000025963844,0.000008776803,0.00012942143,0.00008312456,0.042302024,0.00020057938,0.9554013,0.0013015444,0.000020144518],"about_ca_topic_score_codex":0.0035310055,"about_ca_topic_score_gemma":0.0022217573,"teacher_disagreement_score":0.00754932,"about_ca_system_score_codex":0.0023506125,"about_ca_system_score_gemma":0.0013475734,"threshold_uncertainty_score":0.025254965},"labels":[],"label_agreement":null},{"id":"W2587397364","doi":"10.1016/j.aim.2017.09.028","title":"On polynomially integrable convex bodies","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Science Foundation of Sri Lanka; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Integrable system; Regular polygon; Convex body; Ellipsoid; Degree (music); Pure mathematics; Section (typography); Combinatorics; Convex function; Mixed volume; Geometry; Convex hull","score_opus":0.05248484546673964,"score_gpt":0.37054916029889945,"score_spread":0.3180643148321598,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2587397364","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24457508,0.00417032,0.6706871,0.0067834565,0.00043723563,0.000039188522,0.00036425257,0.00018496868,0.07275836],"genre_scores_gemma":[0.91391885,0.0037217536,0.039633173,0.00082615647,0.00085054146,0.00009843901,0.00048323636,0.00017286687,0.040295083],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989511,0.00031946372,0.000042787862,0.00021276895,0.00030480014,0.00016906377],"domain_scores_gemma":[0.9952429,0.0030319395,0.0005771501,0.0002386052,0.0004963899,0.0004129043],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001594388,0.0015122073,0.0018052851,0.0023651798,0.0015311044,0.002955201,0.0017209583,0.0021052884,0.0067124674],"category_scores_gemma":[0.008667882,0.00061279634,0.0013653408,0.0019450301,0.0070742643,0.006392838,0.003918555,0.005734084,0.0006651389],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015377202,0.000007735941,0.00011701544,0.000025011657,0.0000069791363,0.000038203783,0.00011387989,0.003337982,0.00025269625,0.9938269,0.0003680592,0.0018902381],"study_design_scores_gemma":[0.000008121858,0.000009741982,0.00017497689,0.000009943195,0.000006176939,0.000026999503,0.000045955963,0.018218575,0.000104748964,0.98063904,0.0007486717,0.0000069746548],"about_ca_topic_score_codex":0.0036806609,"about_ca_topic_score_gemma":0.002255787,"teacher_disagreement_score":0.0067124674,"about_ca_system_score_codex":0.0022280929,"about_ca_system_score_gemma":0.0008183133,"threshold_uncertainty_score":0.022455454},"labels":[],"label_agreement":null},{"id":"W2591661736","doi":"10.1016/j.aim.2004.04.010","title":"Comparing the uniformity invariants of null sets for different measures","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Lebesgue measure; Invariant (physics); Hausdorff measure; Outer measure; Invariant measure; Measure (data warehouse); Pure mathematics; Lebesgue integration; σ-finite measure; Hausdorff space; Null set; Discrete mathematics; Set (abstract data type); Mathematical analysis; Hausdorff dimension; Fractal; Minkowski–Bouligand dimension; Data mining; Fractal dimension","score_opus":0.0743919991752723,"score_gpt":0.35787071007559423,"score_spread":0.28347871090032195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2591661736","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80988324,0.00044767835,0.1753785,0.0003117981,0.000109044675,0.000041221436,0.00027064388,0.00033355263,0.013224371],"genre_scores_gemma":[0.98829496,0.00015726549,0.010061287,0.000058757247,0.00011096786,0.000031261497,0.00038690242,0.00009548127,0.0008031359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996923,0.0008369843,0.0002721463,0.0005808097,0.00089378806,0.0004931585],"domain_scores_gemma":[0.96941537,0.018271796,0.0039227614,0.004141417,0.002346354,0.0019022749],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0055127004,0.0005446144,0.00091503246,0.005018854,0.0014186671,0.0044904584,0.0020122747,0.0012533834,0.0032430307],"category_scores_gemma":[0.028338486,0.0005290398,0.0009928661,0.0023163413,0.005922293,0.009654863,0.003042246,0.0016495774,0.0003169547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00076045905,0.00010663984,0.013004105,0.00012004106,0.000092859766,0.00015764196,0.0009900376,0.007976865,0.009808133,0.93578637,0.0011129138,0.030083887],"study_design_scores_gemma":[0.00007117602,0.00046856067,0.023499114,0.00006101766,0.00014848779,0.00074484956,0.0014948866,0.07386849,0.022081068,0.87472826,0.002644007,0.00019022748],"about_ca_topic_score_codex":0.00047188593,"about_ca_topic_score_gemma":0.00031681123,"teacher_disagreement_score":0.0055127004,"about_ca_system_score_codex":0.0013436293,"about_ca_system_score_gemma":0.0004972761,"threshold_uncertainty_score":0.0291543},"labels":[],"label_agreement":null},{"id":"W2593239046","doi":"10.1016/j.aim.2013.04.016","title":"Spectral property of Cantor measures with consecutive digits","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":177,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Iterated function system; Exponential function; Completeness (order theory); Combinatorics; Iterated function; Zero (linguistics); Discrete mathematics; Mathematical analysis; Fractal","score_opus":0.023334865468137,"score_gpt":0.28357656624627425,"score_spread":0.26024170077813724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593239046","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83350635,0.0008672261,0.11333135,0.0008619323,0.00029446988,0.00004021112,0.00028631304,0.0002932894,0.05051884],"genre_scores_gemma":[0.9895912,0.0002827871,0.0053006387,0.00011167793,0.00027668034,0.000035673926,0.00016959551,0.00006383329,0.0041680126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991992,0.0001894948,0.00005007173,0.0001538745,0.00022560048,0.00018179222],"domain_scores_gemma":[0.9938419,0.0027786817,0.0010307109,0.000493818,0.00089213304,0.00096270326],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011252804,0.00085277186,0.0006198496,0.0043934314,0.0017124743,0.0032462147,0.0010832626,0.0010632996,0.0076612765],"category_scores_gemma":[0.0077808234,0.000431736,0.00071335805,0.0015905481,0.0042844736,0.0034632555,0.0014862027,0.0016656908,0.0006804888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007736271,0.000022611868,0.00054100907,0.000035107758,0.000009232947,0.00010882417,0.00022576284,0.0011350819,0.002677216,0.9909576,0.00054459326,0.0036656759],"study_design_scores_gemma":[0.00003182648,0.00007032499,0.0014658232,0.000039843355,0.000017544366,0.00039941477,0.0002535973,0.021952394,0.0029941644,0.9706998,0.002008962,0.00006620555],"about_ca_topic_score_codex":0.0009941354,"about_ca_topic_score_gemma":0.00063353765,"teacher_disagreement_score":0.0076612765,"about_ca_system_score_codex":0.0010133398,"about_ca_system_score_gemma":0.00070373836,"threshold_uncertainty_score":0.02562952},"labels":[],"label_agreement":null},{"id":"W2596932091","doi":"10.1016/j.aim.2018.07.031","title":"Parabolic sheaves with real weights as sheaves on the Kato–Nakayama space","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; Simon Fraser University","funders":"University of British Columbia; Simon Fraser University; Pacific Institute for the Mathematical Sciences","keywords":"Coherent sheaf; Space (punctuation); Pure mathematics; Mathematics; Algebra over a field; Linguistics; Philosophy","score_opus":0.024658174652316366,"score_gpt":0.3288198908146969,"score_spread":0.3041617161623806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2596932091","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8049429,0.0017033059,0.101196624,0.0022818916,0.00033468957,0.000046052635,0.00035017944,0.0002657691,0.08887852],"genre_scores_gemma":[0.9538129,0.0008428232,0.0065149073,0.00020482711,0.000366872,0.00003120548,0.00020161583,0.00010190631,0.037922833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99930465,0.00013182606,0.00003296186,0.00012112209,0.00027729853,0.00013203204],"domain_scores_gemma":[0.9993631,0.00010841105,0.0001092485,0.000071316295,0.00010837879,0.00023953611],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073133537,0.0011142079,0.0005569171,0.002614476,0.0013231725,0.0035577135,0.00087137107,0.0011430935,0.005824144],"category_scores_gemma":[0.0016942725,0.0005837754,0.00066555705,0.0018116409,0.0032796862,0.005533803,0.0034972595,0.002108322,0.0011223209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042329622,0.000013907777,0.00029640613,0.000025095407,0.000011730973,0.00010293994,0.00053525966,0.0006218911,0.0023901886,0.99209994,0.00040864313,0.0034516524],"study_design_scores_gemma":[0.00001840863,0.000026653783,0.0005407902,0.000011284824,0.000012386651,0.00019464473,0.00023124821,0.0030008333,0.0006281978,0.9919606,0.0033572407,0.000017858327],"about_ca_topic_score_codex":0.001067411,"about_ca_topic_score_gemma":0.00072734413,"teacher_disagreement_score":0.005824144,"about_ca_system_score_codex":0.001229277,"about_ca_system_score_gemma":0.0006864337,"threshold_uncertainty_score":0.019483745},"labels":[],"label_agreement":null},{"id":"W2605354944","doi":"10.1016/j.aim.2019.01.009","title":"Group actions on cluster algebras and cluster categories","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Cluster algebra; Cluster (spacecraft); Group (periodic table); Mathematics; Rank (graph theory); Orbifold; Group action; Orbit (dynamics); Pure mathematics; Space (punctuation); Type (biology); Action (physics); Algebra over a field; Combinatorics; Computer science; Physics","score_opus":0.03078717896710951,"score_gpt":0.32264334514661985,"score_spread":0.2918561661795103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2605354944","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43771672,0.0057895477,0.17198613,0.01204063,0.0015766931,0.000104217426,0.0010409475,0.0005425476,0.36920264],"genre_scores_gemma":[0.92908645,0.00163735,0.01639881,0.0008229329,0.001114202,0.00011560118,0.00055349484,0.00014148619,0.050129674],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992847,0.00022598868,0.000027744869,0.00012424393,0.00020937921,0.00012793348],"domain_scores_gemma":[0.99904746,0.00029725462,0.00014857337,0.00011149898,0.00019244765,0.00020271275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076244684,0.00077974674,0.00065091916,0.0030351097,0.002150322,0.004096383,0.0010475513,0.0015322004,0.010101209],"category_scores_gemma":[0.0018125544,0.00038096655,0.00070254324,0.002106985,0.0032888362,0.005252699,0.0022304356,0.002276244,0.0010889693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005465896,0.000005497382,0.00004809986,0.0000074490245,0.0000019960828,0.00001033887,0.00007671894,0.00018318133,0.00009917107,0.9982268,0.0005128409,0.0008223837],"study_design_scores_gemma":[0.000004378611,0.0000033280423,0.00007144097,0.0000037920324,0.0000021911926,0.000022122222,0.000043224776,0.0009827745,0.0000748099,0.99703705,0.0017508265,0.0000040522496],"about_ca_topic_score_codex":0.0019882908,"about_ca_topic_score_gemma":0.0015846473,"teacher_disagreement_score":0.010101209,"about_ca_system_score_codex":0.0020225276,"about_ca_system_score_gemma":0.0010308429,"threshold_uncertainty_score":0.0337919},"labels":[],"label_agreement":null},{"id":"W2607746611","doi":"10.1016/j.aim.2019.01.028","title":"Stability of receding traveling waves for a fourth order degenerate parabolic free boundary problem","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Fluid Dynamics and Thin Films","field":"Engineering","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Max-Planck-Institut für Mathematik in den Naturwissenschaften; Deutsche Forschungsgemeinschaft; York University; Division of Mathematical Sciences; National Science Foundation","keywords":"Degenerate energy levels; Mathematical analysis; Mathematics; Wetting; Boundary (topology); Order (exchange); Mathematical physics; Stability (learning theory); Porous medium; Physics; Porosity; Thermodynamics; Chemistry; Quantum mechanics","score_opus":0.010475702582859918,"score_gpt":0.23408787196997888,"score_spread":0.22361216938711895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2607746611","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7222839,0.0009706057,0.22748242,0.0029402813,0.00031818668,0.00015835729,0.00023261058,0.00015303,0.04546058],"genre_scores_gemma":[0.9467096,0.00044737582,0.021460386,0.0003264511,0.0001375031,0.00014196322,0.00034018946,0.00013421287,0.030302353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996966,0.00009261759,0.00001579089,0.00006234261,0.00007443438,0.000058176578],"domain_scores_gemma":[0.9987601,0.0005498655,0.00017657789,0.00006305892,0.00026521186,0.00018516857],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009877834,0.0011093825,0.0009775455,0.0017122965,0.0013545972,0.0027724574,0.0015243683,0.0021834653,0.0031397527],"category_scores_gemma":[0.0047185034,0.00052231766,0.0009282093,0.00040192582,0.0032957273,0.0021710393,0.0028957922,0.0022472152,0.00034613395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013231838,0.000320766,0.0038011216,0.0003825478,0.00017122224,0.0011000294,0.0012470776,0.2215554,0.04831015,0.7043957,0.0031225157,0.014270222],"study_design_scores_gemma":[0.00005986766,0.000072592564,0.0004386811,0.000032452124,0.00001714601,0.00012609568,0.00022766202,0.916473,0.0020664176,0.07979332,0.000660765,0.000032145763],"about_ca_topic_score_codex":0.0057644104,"about_ca_topic_score_gemma":0.0013393423,"teacher_disagreement_score":0.0057644104,"about_ca_system_score_codex":0.001476244,"about_ca_system_score_gemma":0.0014035692,"threshold_uncertainty_score":0.011461735},"labels":[],"label_agreement":null},{"id":"W2614196406","doi":"10.1016/j.aim.2017.07.007","title":"Batalin–Vilkovisky quantization and the algebraic index","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Ministero dello Sviluppo Economico; Industry Canada; Ontario Ministry of Economic Development and Innovation; National Natural Science Foundation of China; Stony Brook University; Government of Canada; National Science Foundation","keywords":"Quantization (signal processing); Symplectic geometry; Topological quantum field theory; Geometric quantization; Algebraic structure; Gauge theory; Mathematics; Renormalization; Quantum field theory; Pure mathematics; Feynman diagram; Algebra over a field; Symplectic manifold; Mathematical physics; Quantum; Physics; Canonical quantization; Quantum mechanics; Quantum gravity; Algorithm","score_opus":0.02243937785404193,"score_gpt":0.34069237176069916,"score_spread":0.31825299390665723,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2614196406","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39398316,0.010253119,0.14038476,0.018202092,0.0029144823,0.00008924305,0.00053014775,0.0005641442,0.4330788],"genre_scores_gemma":[0.9488256,0.0020102472,0.012854476,0.0009287911,0.0016134346,0.000069598376,0.00014432882,0.00015356987,0.033400044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993155,0.00018460503,0.000039995546,0.00012976614,0.0002233474,0.00010675278],"domain_scores_gemma":[0.99917185,0.00020667452,0.000116543044,0.000112614274,0.00017468841,0.00021770658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012102483,0.0006427213,0.0013498168,0.0023441312,0.00227046,0.0035502734,0.0012276986,0.0015570823,0.008048416],"category_scores_gemma":[0.0031397582,0.00034871494,0.00052328914,0.0011588664,0.005565371,0.0076907766,0.003218864,0.0027720423,0.0009007903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008109598,0.0000037793745,0.000039903553,0.0000086528,0.0000017295731,0.00001237459,0.00005683486,0.0001562976,0.00014626617,0.9982663,0.000365469,0.0009342203],"study_design_scores_gemma":[0.000006888281,0.000003750723,0.0000798036,0.000004396999,0.0000012912086,0.00002531744,0.00002993737,0.00087710656,0.0000612242,0.99765944,0.0012453087,0.0000054484194],"about_ca_topic_score_codex":0.0014467309,"about_ca_topic_score_gemma":0.00091589254,"teacher_disagreement_score":0.008048416,"about_ca_system_score_codex":0.0018952,"about_ca_system_score_gemma":0.0009939517,"threshold_uncertainty_score":0.02692461},"labels":[],"label_agreement":null},{"id":"W2615321870","doi":"10.1016/j.aim.2017.04.005","title":"On Iwahori–Whittaker functions for metaplectic groups","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Mathematics; Pure mathematics; Weyl group; Algebra over a field; Context (archaeology); Identity (music); Action (physics)","score_opus":0.048027401011647444,"score_gpt":0.375899779273315,"score_spread":0.3278723782616676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2615321870","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48149633,0.0047401055,0.2740443,0.0058966423,0.0020318346,0.000120432676,0.00042625485,0.00056076446,0.23068331],"genre_scores_gemma":[0.8976539,0.003037275,0.037560817,0.0013395763,0.0019184044,0.00016591603,0.00052665186,0.0004460924,0.05735125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898964,0.00028240835,0.000067126566,0.00019281403,0.00024458897,0.00022340618],"domain_scores_gemma":[0.9984389,0.0004963447,0.00024299376,0.00019516682,0.000225993,0.00040057243],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002639695,0.0029367902,0.0015793736,0.0061870674,0.003583587,0.004285914,0.0021148953,0.0027015847,0.0129472455],"category_scores_gemma":[0.0043752603,0.00090339466,0.00169924,0.0035751944,0.006890542,0.010740436,0.0046308585,0.0048196847,0.0020652264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002142319,0.0000130711405,0.00009817913,0.000023238623,0.0000059287227,0.000054267308,0.00025915226,0.00024383602,0.00041790146,0.9954348,0.00049768336,0.0029305606],"study_design_scores_gemma":[0.000010142396,0.000014723938,0.00015751088,0.000013894447,0.000006906541,0.000057340596,0.00009252648,0.0013893726,0.0002009412,0.99661046,0.0014318078,0.000014306482],"about_ca_topic_score_codex":0.0012616706,"about_ca_topic_score_gemma":0.0011624963,"teacher_disagreement_score":0.0129472455,"about_ca_system_score_codex":0.0022623301,"about_ca_system_score_gemma":0.0008610833,"threshold_uncertainty_score":0.043312788},"labels":[],"label_agreement":null},{"id":"W2615367811","doi":"10.1016/j.aim.2017.04.015","title":"A construction scheme for non-separable structures","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique","keywords":"Mathematics; Scheme (mathematics); Separable space; Simple (philosophy); Regular polygon; Domain (mathematical analysis); Object (grammar); Algebra over a field; Pure mathematics; Computer science; Mathematical analysis; Artificial intelligence; Geometry","score_opus":0.0332178896840815,"score_gpt":0.387473386040198,"score_spread":0.3542554963561165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2615367811","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.026078396,0.00042252147,0.9301886,0.0012201697,0.00035701593,0.00014965772,0.00044825333,0.0011860026,0.03994954],"genre_scores_gemma":[0.3768849,0.00069525954,0.5675299,0.00057122676,0.00020384771,0.00040826737,0.0012112112,0.0009807663,0.051514562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998376,0.00032169497,0.00015793082,0.00037988022,0.0005276029,0.00023687635],"domain_scores_gemma":[0.99825376,0.0005095292,0.00006965125,0.0006703194,0.0002835219,0.00021322149],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021318619,0.00097120414,0.0010193678,0.0018625337,0.0035866348,0.0042954274,0.0026286393,0.0017277696,0.013766074],"category_scores_gemma":[0.002460906,0.0012105573,0.002239616,0.0023655577,0.0045490926,0.010330038,0.008475784,0.0059286603,0.0034691473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015413018,0.000011383548,0.000056011486,0.000026811653,0.000003320576,0.00003076819,0.00022335067,0.00019230103,0.000757977,0.9921985,0.0008728482,0.00561131],"study_design_scores_gemma":[0.000021702128,0.00002582521,0.00011686132,0.000021833952,0.00002028293,0.0001220245,0.00011687213,0.002682392,0.0018052006,0.96796954,0.027074583,0.000022918082],"about_ca_topic_score_codex":0.0010967928,"about_ca_topic_score_gemma":0.0012367606,"teacher_disagreement_score":0.013766074,"about_ca_system_score_codex":0.0020725715,"about_ca_system_score_gemma":0.0011467657,"threshold_uncertainty_score":0.0460521},"labels":[],"label_agreement":null},{"id":"W2621123769","doi":"10.1016/j.aim.2018.12.003","title":"Isotopes of octonion algebras, G2-torsors and triality","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Knut och Alice Wallenbergs Stiftelse; Agence Nationale de la Recherche","keywords":"Triality; Mathematics; Pure mathematics; Norm (philosophy); Commutative ring; Commutative property; Algebra over a field","score_opus":0.03876829552281329,"score_gpt":0.3610942428029359,"score_spread":0.3223259472801226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2621123769","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6594923,0.0018193376,0.080180496,0.0032468403,0.0013254898,0.0000815929,0.00046905092,0.00044783857,0.25293696],"genre_scores_gemma":[0.9606916,0.00053614704,0.008318129,0.00064302736,0.00059909315,0.00005717151,0.00029236253,0.0002171966,0.028645426],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947196,0.00011001217,0.000033676002,0.00007936948,0.00015523184,0.00014969018],"domain_scores_gemma":[0.99913245,0.00020774809,0.000126234,0.00014144981,0.00015139212,0.00024078273],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011206805,0.00073577405,0.0008921216,0.0021395567,0.0030002682,0.004138814,0.0011111436,0.0018196176,0.009983278],"category_scores_gemma":[0.002762639,0.00045090512,0.00078725367,0.0012958526,0.0044295997,0.0053806286,0.0024146114,0.0021815784,0.0010915934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020164174,0.0000070959245,0.000090805755,0.000011327896,0.0000019788831,0.000030018044,0.00009131682,0.0001428135,0.00031456526,0.99766207,0.00035870302,0.0012691095],"study_design_scores_gemma":[0.0000112911175,0.000007541991,0.00012772465,0.000005843905,0.0000022544534,0.00006149301,0.000054399734,0.00091691146,0.00019678082,0.99765164,0.00095640775,0.00000775422],"about_ca_topic_score_codex":0.0016447048,"about_ca_topic_score_gemma":0.0015618281,"teacher_disagreement_score":0.009983278,"about_ca_system_score_codex":0.0013473076,"about_ca_system_score_gemma":0.0010069223,"threshold_uncertainty_score":0.033397377},"labels":[],"label_agreement":null},{"id":"W2708215500","doi":"10.1016/j.aim.2018.01.008","title":"Busemann's intersection inequality in hyperbolic and spherical spaces","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Intersection (aeronautics); Mathematics; Regular polygon; Ellipsoid; Measure (data warehouse); Inequality; Pure mathematics; Volume (thermodynamics); Convex body; Combinatorics; Mathematical analysis; Geometry; Physics; Convex hull; Computer science; Geography; Cartography","score_opus":0.05400639585456603,"score_gpt":0.36217266722936514,"score_spread":0.30816627137479913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2708215500","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27413812,0.010316091,0.3986234,0.018404096,0.0008686381,0.00006981288,0.0012877791,0.00025423765,0.29603776],"genre_scores_gemma":[0.9227416,0.0042472566,0.03522565,0.0010448837,0.0008900391,0.00013248605,0.0006580093,0.00014370421,0.034916412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998439,0.00050351216,0.00008060843,0.0002919348,0.00044537158,0.00023963572],"domain_scores_gemma":[0.99646986,0.002112806,0.0002585104,0.0002288664,0.0005886462,0.0003413587],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028281063,0.0009247917,0.0013216428,0.0030273038,0.0021149465,0.004885802,0.002036611,0.0018137599,0.011872426],"category_scores_gemma":[0.007159622,0.0004681299,0.001161614,0.0028688607,0.00468656,0.010791824,0.0045126644,0.0061908537,0.00081450865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014856878,0.000005732777,0.00014641986,0.000022480484,0.000005732077,0.000020996102,0.00009337578,0.00034670887,0.00014879914,0.9969194,0.0005502713,0.001725265],"study_design_scores_gemma":[0.0000061041196,0.000006143845,0.00027309393,0.000012432208,0.0000082946935,0.000023492812,0.000096868825,0.004431976,0.00014251933,0.9922685,0.0027239837,0.0000065256104],"about_ca_topic_score_codex":0.003671084,"about_ca_topic_score_gemma":0.0026389244,"teacher_disagreement_score":0.011872426,"about_ca_system_score_codex":0.002520272,"about_ca_system_score_gemma":0.0011580614,"threshold_uncertainty_score":0.039717257},"labels":[],"label_agreement":null},{"id":"W2727833210","doi":"10.1016/j.aim.2018.10.037","title":"Subconvexity for modular form L-functions in the t aspect","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada; Engineering and Physical Sciences Research Council; National Security Agency","keywords":"Mathematics; Square-free integer; Holomorphic function; Cusp form; Cusp (singularity); Modular form; Pure mathematics; Combinatorics; Algebra over a field; Geometry","score_opus":0.06786765287894041,"score_gpt":0.39756768051204006,"score_spread":0.32970002763309963,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2727833210","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5804328,0.001056742,0.19933076,0.0055217007,0.0006901409,0.000088697554,0.00034107693,0.0003784905,0.21215966],"genre_scores_gemma":[0.961091,0.0006616788,0.014333315,0.0008221724,0.0006597626,0.000083688436,0.00027111667,0.00021197471,0.021865133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888474,0.00026028437,0.0000675727,0.00024348349,0.00028596492,0.00025791256],"domain_scores_gemma":[0.99611264,0.0015842073,0.00048962125,0.00037164259,0.0005903882,0.00085154007],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016338549,0.0011408809,0.0009045265,0.0030111577,0.0028305047,0.0043015378,0.001499565,0.0013341048,0.009128734],"category_scores_gemma":[0.006381411,0.00051038194,0.0012807547,0.00143233,0.006713135,0.00854484,0.004374087,0.003981094,0.0009569615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002807076,0.000011978445,0.00018864797,0.000016685677,0.000004311002,0.000091071815,0.00013702986,0.00027867337,0.00037919643,0.99611425,0.0004997342,0.0022503335],"study_design_scores_gemma":[0.000010359252,0.000011375396,0.00014976389,0.0000073674473,0.0000036012998,0.00007855613,0.000055323613,0.003054654,0.000176868,0.99574643,0.00069869077,0.0000069705975],"about_ca_topic_score_codex":0.0015339333,"about_ca_topic_score_gemma":0.0012226083,"teacher_disagreement_score":0.009128734,"about_ca_system_score_codex":0.0019065122,"about_ca_system_score_gemma":0.000998129,"threshold_uncertainty_score":0.030538619},"labels":[],"label_agreement":null},{"id":"W2734467361","doi":"10.1016/j.aim.2017.06.020","title":"A stratification related to characteristic polynomials","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Poisson summation formula; TRACE (psycholinguistics); Stratification (seeds); Poisson distribution; Spectrum (functional analysis); Pure mathematics; Discrete spectrum; Algebra over a field; Mathematical analysis; Fourier transform; Statistics; Eigenvalues and eigenvectors","score_opus":0.03235307114146135,"score_gpt":0.37718751924115856,"score_spread":0.3448344480996972,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2734467361","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5622768,0.0025642614,0.16452453,0.0072466927,0.0018788298,0.00013985972,0.0007269052,0.0006528401,0.25998935],"genre_scores_gemma":[0.94699013,0.0008358775,0.008548931,0.00054205244,0.0009792258,0.000044681175,0.00031603742,0.00013946186,0.041603733],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937433,0.00013230596,0.00002752061,0.000121069905,0.00016251297,0.00018227479],"domain_scores_gemma":[0.99873763,0.00028257663,0.0001529489,0.000114673116,0.00029240389,0.00041972534],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008001076,0.0007271927,0.00091144064,0.0036036936,0.003503437,0.0037533233,0.0007155451,0.0010973085,0.00989071],"category_scores_gemma":[0.002606789,0.0004821295,0.00091562164,0.002232299,0.004995601,0.0069483966,0.003285668,0.0038378013,0.0014778507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012091301,0.0000088489605,0.00014836041,0.000009702244,0.0000022654062,0.000042469503,0.00015240349,0.00010559923,0.0002570599,0.99730337,0.00060861773,0.0013492545],"study_design_scores_gemma":[0.00001132975,0.00001210669,0.00030666142,0.000008307509,0.0000058590986,0.00008862738,0.00008552058,0.0008330358,0.00012043532,0.99549,0.0030295965,0.000008489848],"about_ca_topic_score_codex":0.0019506735,"about_ca_topic_score_gemma":0.00177702,"teacher_disagreement_score":0.00989071,"about_ca_system_score_codex":0.002269229,"about_ca_system_score_gemma":0.001283943,"threshold_uncertainty_score":0.03308773},"labels":[],"label_agreement":null},{"id":"W2743616851","doi":"10.1016/j.aim.2017.08.011","title":"Ancient solutions of the Ricci flow on bundles","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Fano plane; Diffeomorphism; Torus; Ricci flow; Pure mathematics; Context (archaeology); Bundle; Type (biology); Chern class; Canonical bundle; Dimension (graph theory); Geometry; Mathematical analysis; Curvature; Ricci curvature","score_opus":0.04996111398064023,"score_gpt":0.33103060591591443,"score_spread":0.2810694919352742,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2743616851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42499685,0.010607176,0.2345729,0.012972788,0.0023666436,0.00008498756,0.0004739362,0.000551789,0.31337288],"genre_scores_gemma":[0.8293441,0.0040600924,0.03864348,0.0008217222,0.002393082,0.00006177048,0.000355531,0.00025613164,0.124064215],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995772,0.0001389416,0.00002111914,0.000073369665,0.0001342013,0.000055197463],"domain_scores_gemma":[0.9993963,0.000121791956,0.000092372284,0.00009394458,0.00017467335,0.000120950586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010119688,0.0008695153,0.000714952,0.0023519201,0.0012611864,0.002701964,0.0009789845,0.0016640781,0.005947629],"category_scores_gemma":[0.0028196268,0.00040572323,0.00068490626,0.0011508195,0.003359577,0.0044352976,0.002209809,0.0029096317,0.0008627019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005661778,0.0000034839247,0.000040122315,0.000013509673,0.0000035027708,0.0000146187,0.000089138506,0.00056754204,0.000248468,0.9966043,0.00052751787,0.001882171],"study_design_scores_gemma":[0.000009701447,0.0000092632345,0.00013607876,0.000011843034,0.000003183724,0.00005484667,0.000058151865,0.0031150463,0.00016715753,0.99146724,0.0049587707,0.00000870285],"about_ca_topic_score_codex":0.0009143946,"about_ca_topic_score_gemma":0.0007054671,"teacher_disagreement_score":0.005947629,"about_ca_system_score_codex":0.0023882156,"about_ca_system_score_gemma":0.0007997444,"threshold_uncertainty_score":0.019896746},"labels":[],"label_agreement":null},{"id":"W2749576124","doi":"10.1016/j.aim.2018.07.013","title":"Factorizations induced by complete Nevanlinna–Pick factors","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ontario Trillium Foundation; National Science Foundation","keywords":"Mathematics; Pointwise; Multiplier (economics); Pure mathematics; Bounded function; Kernel (algebra); Reproducing kernel Hilbert space; Factorization; Hardy space; Hilbert space; Space (punctuation); Mathematical analysis","score_opus":0.06525780065358885,"score_gpt":0.34919193094484174,"score_spread":0.2839341302912529,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2749576124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39900577,0.0022818134,0.3303885,0.002587175,0.0021156503,0.00021531795,0.00096862356,0.0010150295,0.2614221],"genre_scores_gemma":[0.85916746,0.0014527396,0.047773827,0.0007610458,0.0012291948,0.00016032433,0.00087724195,0.00071135483,0.08786688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986609,0.00016987514,0.000060116054,0.0003308118,0.00047570706,0.00030252058],"domain_scores_gemma":[0.99870074,0.00024402299,0.0001828514,0.00012694456,0.00025920337,0.0004862483],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012833647,0.001521515,0.0013591893,0.003237046,0.0033595562,0.0035631575,0.0010272758,0.0013744358,0.014897508],"category_scores_gemma":[0.0030955605,0.0008441536,0.0015667628,0.0011655039,0.0036627199,0.0063924775,0.0031121224,0.0032371907,0.0028674423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046385012,0.000018062263,0.00009927851,0.000025549043,0.000009145743,0.00008988496,0.00021216128,0.00018369699,0.00086454465,0.9937981,0.0010176848,0.0036355378],"study_design_scores_gemma":[0.000023139813,0.000019054341,0.00022462671,0.00001766627,0.000009392253,0.00019965056,0.00011660072,0.0009414336,0.00068575615,0.9927499,0.004991488,0.000021304975],"about_ca_topic_score_codex":0.0009791884,"about_ca_topic_score_gemma":0.0012820733,"teacher_disagreement_score":0.014897508,"about_ca_system_score_codex":0.0013339695,"about_ca_system_score_gemma":0.00070780795,"threshold_uncertainty_score":0.049837112},"labels":[],"label_agreement":null},{"id":"W2756330135","doi":"10.1016/j.aim.2017.09.013","title":"Two-end solutions to the Allen–Cahn equation in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"> <mml:msup> <mml:mrow> <mml:mi mathvariant=\"double-struck\">R</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>3</mml:mn> </mml:mrow> </mml:msup> </mml:math>","year":2017,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Sleep Foundation; Fundamental Research Funds for the Central Universities; National Science Foundation","keywords":"Mathematics; Axial symmetry; Scroll; Euclidean geometry; Euclidean space; Logarithm; Space (punctuation); Mathematical analysis; Geometry; Computer science; Theology","score_opus":0.0408170939737178,"score_gpt":0.2974388550952011,"score_spread":0.2566217611214833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2756330135","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07883395,0.0013141229,0.54912955,0.0042334506,0.0013131452,0.00016880214,0.0012810947,0.00066577323,0.36306006],"genre_scores_gemma":[0.4644215,0.0014550117,0.13778,0.0011946523,0.00046835726,0.0002810156,0.0015942428,0.001014214,0.39179102],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999798,0.00004145254,0.000008856396,0.000038361326,0.00007662126,0.000036709505],"domain_scores_gemma":[0.99963975,0.00008529057,0.000045505007,0.00003805343,0.000115866365,0.00007553494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034627953,0.00070623256,0.00051372114,0.00093502755,0.00099786,0.0020377105,0.0009928354,0.0017439572,0.032664016],"category_scores_gemma":[0.0018251801,0.00026949894,0.00071520486,0.00050067913,0.0012138226,0.0021322323,0.0020683066,0.0020707578,0.0047786455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046319266,0.00003529333,0.00018004603,0.0000726829,0.00001530235,0.00018444212,0.00021953465,0.008925067,0.0025061578,0.9677271,0.01100424,0.009083778],"study_design_scores_gemma":[0.00006120399,0.000042297557,0.0005270974,0.00006253081,0.000014264844,0.00032615222,0.0003018179,0.15097028,0.0026931565,0.813595,0.03134111,0.000065060216],"about_ca_topic_score_codex":0.002861515,"about_ca_topic_score_gemma":0.004471843,"teacher_disagreement_score":0.032664016,"about_ca_system_score_codex":0.0007684068,"about_ca_system_score_gemma":0.00091538305,"threshold_uncertainty_score":0.10927206},"labels":[],"label_agreement":null},{"id":"W2766181281","doi":"10.1016/j.aim.2017.09.027","title":"Functional distribution monads in functional-analytic contexts","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monad (category theory); Cartesian closed category; Mathematics; Pure mathematics; Context (archaeology); Algebraic theory; Algebra over a field; Algebraic number; Closed category; Distribution (mathematics); Category theory; Ring (chemistry); Functor; Mathematical analysis","score_opus":0.038035597381907114,"score_gpt":0.33620086151092726,"score_spread":0.29816526412902017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766181281","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28232378,0.008066161,0.5205634,0.008998209,0.0012664881,0.000083537176,0.0006009332,0.00060407136,0.17749336],"genre_scores_gemma":[0.94522506,0.0021951895,0.019772427,0.00066118705,0.0011511721,0.00007836309,0.00020647598,0.000122008125,0.030588133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998728,0.00039434733,0.00008179256,0.00026065015,0.00031406214,0.000221178],"domain_scores_gemma":[0.99775934,0.0009359726,0.00022381773,0.00025298822,0.00041832722,0.00040947154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023379626,0.001042669,0.0011944637,0.004631197,0.0028990062,0.004972356,0.001282052,0.0017426974,0.008401521],"category_scores_gemma":[0.0033270703,0.0006657521,0.0009834869,0.0031580252,0.0079146195,0.015443347,0.0044886316,0.0033634305,0.00066673534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002879205,0.0000030106808,0.000037865088,0.000005735088,0.0000015206532,0.0000122546,0.000061326085,0.000060317936,0.000058450998,0.99910337,0.00010410114,0.0005490848],"study_design_scores_gemma":[0.0000069290177,0.000005903574,0.00010579016,0.0000053190297,0.0000053321683,0.00004476956,0.00008588458,0.00085142057,0.000103508195,0.9963225,0.0024562504,0.000006427206],"about_ca_topic_score_codex":0.002068732,"about_ca_topic_score_gemma":0.0020762724,"teacher_disagreement_score":0.008401521,"about_ca_system_score_codex":0.002769206,"about_ca_system_score_gemma":0.00092696043,"threshold_uncertainty_score":0.028105855},"labels":[],"label_agreement":null},{"id":"W2766476396","doi":"10.1016/j.aim.2019.03.006","title":"Relative Hard Lefschetz theorem for fans","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Discrete mathematics","score_opus":0.050036572457920155,"score_gpt":0.3642831649658015,"score_spread":0.31424659250788134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766476396","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31251967,0.004790156,0.25562006,0.014776932,0.0013254734,0.00015154677,0.0027359354,0.00084859406,0.40723166],"genre_scores_gemma":[0.8851311,0.002108593,0.022244914,0.0016691578,0.0015992747,0.00027514837,0.0022406287,0.00039437436,0.08433666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870765,0.0003053848,0.000050603154,0.00032826525,0.00043919773,0.00016891654],"domain_scores_gemma":[0.9975618,0.0014519739,0.00016462876,0.00020510999,0.00029255086,0.0003240346],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017839659,0.0017195122,0.0014293676,0.004663053,0.0026064955,0.00528502,0.0019037431,0.0016289527,0.022982536],"category_scores_gemma":[0.0067877076,0.0006205858,0.0011320754,0.002215483,0.0031427164,0.010231474,0.0040079835,0.005486014,0.001941549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008654919,0.00003969186,0.00033350108,0.00009763447,0.000018695773,0.000060581926,0.00012425627,0.0012749714,0.0005150363,0.9852814,0.0048786406,0.00728893],"study_design_scores_gemma":[0.000023898037,0.000011994979,0.0002729701,0.00001574952,0.000014987862,0.00007270921,0.000041882842,0.005188128,0.0003600691,0.9892747,0.004712023,0.000010797928],"about_ca_topic_score_codex":0.001779196,"about_ca_topic_score_gemma":0.0011054475,"teacher_disagreement_score":0.022982536,"about_ca_system_score_codex":0.0032003957,"about_ca_system_score_gemma":0.0008155618,"threshold_uncertainty_score":0.07688427},"labels":[],"label_agreement":null},{"id":"W2770069154","doi":"10.1016/j.aim.2020.107025","title":"Determining a Riemannian metric from minimal areas","year":2020,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Levi-Civita connection; Fundamental theorem of Riemannian geometry; Metric (unit); Riemannian geometry; Pure mathematics; Riemannian submersion; Minimal volume; Information geometry; Mathematical analysis; Geometry; Scalar curvature","score_opus":0.01149588619030555,"score_gpt":0.2610767042357334,"score_spread":0.24958081804542787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2770069154","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.342387,0.0007998097,0.6245903,0.0012126035,0.00021883722,0.00016244697,0.0007239902,0.0010150041,0.028889954],"genre_scores_gemma":[0.75774056,0.0006029532,0.22427754,0.00032977364,0.0003390876,0.00010357073,0.0015365859,0.0010714348,0.013998407],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961215,0.00011055603,0.000028989807,0.0001149364,0.00009945512,0.000033882592],"domain_scores_gemma":[0.9988656,0.00055161904,0.0001207535,0.00012829379,0.00019792233,0.0001358287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047245863,0.0009082071,0.0012111085,0.0017051761,0.0008333089,0.0012153903,0.001655353,0.0011357351,0.004958258],"category_scores_gemma":[0.0039069066,0.00079307595,0.00079081114,0.00072243594,0.0014439368,0.0025239356,0.0024274567,0.0018457288,0.001228277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010897326,0.00006545006,0.0014226777,0.0004960104,0.000058787227,0.00024177629,0.0007061131,0.017432868,0.009891123,0.8833077,0.009188647,0.07707987],"study_design_scores_gemma":[0.00001552559,0.000048752136,0.0006240943,0.000029807125,0.000017134544,0.0001527921,0.00012895498,0.042804424,0.002293832,0.9459705,0.007889629,0.000024599663],"about_ca_topic_score_codex":0.0012716372,"about_ca_topic_score_gemma":0.0017048976,"teacher_disagreement_score":0.004958258,"about_ca_system_score_codex":0.00065178116,"about_ca_system_score_gemma":0.00042978307,"threshold_uncertainty_score":0.016587079},"labels":[],"label_agreement":null},{"id":"W2770633156","doi":"10.1016/j.aim.2019.03.011","title":"Shape optimization for the Steklov problem in higher dimensions","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Contractible space; Eigenvalues and eigenvectors; Boundary (topology); Mathematics; Ball (mathematics); Boundary value problem; Combinatorics; Contrast (vision); Pure mathematics; Mathematical analysis; Physics; Optics","score_opus":0.035422174436064054,"score_gpt":0.2951791219338517,"score_spread":0.25975694749778766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2770633156","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.075643495,0.0011802738,0.88863796,0.002427313,0.00027364373,0.00009004273,0.0003636094,0.00016698499,0.031216757],"genre_scores_gemma":[0.737032,0.00195471,0.20276499,0.0009530095,0.0006729417,0.00040233685,0.0010121646,0.00100495,0.054202933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949336,0.00019589422,0.000020059337,0.00008501004,0.0001359002,0.00006976868],"domain_scores_gemma":[0.9984118,0.00091597124,0.00017454654,0.000103656916,0.00019203982,0.00020191043],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013631482,0.0010847765,0.0015434618,0.0011354593,0.0007916281,0.0021935606,0.0015718171,0.0025098,0.0058976207],"category_scores_gemma":[0.0054755704,0.00070339604,0.0009988477,0.00091442285,0.0023918652,0.0026588042,0.0028658353,0.002955339,0.00080995774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020770563,0.000114113165,0.00068002974,0.00028832536,0.000058399477,0.00011044944,0.00015858296,0.3212633,0.0037554346,0.62957895,0.0071433284,0.03664141],"study_design_scores_gemma":[0.000024697989,0.000039925188,0.00020066508,0.00003124644,0.000008112733,0.000042982425,0.000061610066,0.6136936,0.00057529844,0.3829691,0.0023307898,0.000021932015],"about_ca_topic_score_codex":0.0026920368,"about_ca_topic_score_gemma":0.0021406147,"teacher_disagreement_score":0.0058976207,"about_ca_system_score_codex":0.0014417156,"about_ca_system_score_gemma":0.0012296776,"threshold_uncertainty_score":0.019729495},"labels":[],"label_agreement":null},{"id":"W2774570060","doi":"10.1016/j.aim.2017.11.021","title":"A Lindelöf group with non-Lindelöf square","year":2017,"lang":"de","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Partition (number theory); Square (algebra); Property (philosophy); Group (periodic table); Pure mathematics; Discrete mathematics; Combinatorics; Geometry","score_opus":0.021738513837992312,"score_gpt":0.33537339991990467,"score_spread":0.31363488608191237,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2774570060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6201971,0.00078532816,0.18847154,0.0034972073,0.0014040977,0.00016932562,0.0005480286,0.0006878691,0.18423948],"genre_scores_gemma":[0.9239451,0.00024461484,0.026262455,0.00067209033,0.0005012885,0.00013316752,0.00029109966,0.00011499371,0.04783519],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989293,0.00019644426,0.000054835444,0.0002932949,0.00028186772,0.00024432476],"domain_scores_gemma":[0.99878544,0.00039442492,0.00015713306,0.00012912478,0.00018493184,0.0003489995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000786125,0.0008411129,0.0013347422,0.0020562792,0.0030629712,0.0025538807,0.00087739807,0.001477879,0.009441247],"category_scores_gemma":[0.0018145673,0.00048610015,0.0009066664,0.00094311545,0.0034781578,0.00305624,0.0032627396,0.0021023864,0.002000539],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011772409,0.000027791935,0.00019668954,0.00002016503,0.000011576125,0.00027644713,0.00035050575,0.00028777853,0.0018843357,0.99257576,0.0008310416,0.0034201657],"study_design_scores_gemma":[0.00007664054,0.0000631661,0.00027500084,0.00000721373,0.000014638604,0.00047121776,0.00020662678,0.0016689431,0.0013702133,0.9909252,0.0048898715,0.000031238756],"about_ca_topic_score_codex":0.00067168934,"about_ca_topic_score_gemma":0.0005659568,"teacher_disagreement_score":0.009441247,"about_ca_system_score_codex":0.0009335233,"about_ca_system_score_gemma":0.000981797,"threshold_uncertainty_score":0.031584144},"labels":[],"label_agreement":null},{"id":"W2785486594","doi":"10.1016/j.aim.2019.02.016","title":"Holonomic and perverse logarithmic D-modules","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Holonomic; Logarithm; Mathematics; Functor; Context (archaeology); Pure mathematics; Duality (order theory); Scheme (mathematics); Topology (electrical circuits); Algebra over a field; Mathematical analysis; Computer science; Combinatorics; Artificial intelligence","score_opus":0.013657343597341734,"score_gpt":0.2857700229133811,"score_spread":0.2721126793160394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2785486594","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7608264,0.0024583922,0.062428582,0.0030878256,0.00043272733,0.00003708275,0.00038977922,0.00019675137,0.1701425],"genre_scores_gemma":[0.9608103,0.0006111846,0.003521966,0.00022601498,0.0002782663,0.000022813972,0.00015751041,0.00003254288,0.03433942],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996474,0.000075396325,0.000019513498,0.00008668263,0.000083075756,0.00008790312],"domain_scores_gemma":[0.9988538,0.00040023247,0.0002142715,0.00008737092,0.00014646062,0.0002978067],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062871363,0.00090272183,0.0005018902,0.003072982,0.0013979385,0.0027054287,0.0007472521,0.0007261605,0.0090288],"category_scores_gemma":[0.002110006,0.00043733962,0.0004434008,0.0016788666,0.0032948111,0.004292345,0.002777106,0.0015672924,0.0008955863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005654751,0.000024771272,0.0004898967,0.000025651902,0.00000577835,0.00010014262,0.00024380218,0.0002634263,0.00081332686,0.9950205,0.00040063178,0.0025556162],"study_design_scores_gemma":[0.000030604213,0.00003126413,0.0011796263,0.000011546335,0.0000111967165,0.00023372212,0.00016829075,0.0012363775,0.0005588725,0.99264586,0.0038812296,0.0000115143475],"about_ca_topic_score_codex":0.000493821,"about_ca_topic_score_gemma":0.00046271516,"teacher_disagreement_score":0.0090288,"about_ca_system_score_codex":0.0011022903,"about_ca_system_score_gemma":0.0004591332,"threshold_uncertainty_score":0.030204296},"labels":[],"label_agreement":null},{"id":"W2789940580","doi":"10.1016/j.aim.2018.01.019","title":"Polytopal realizations of finite type g-vector fans","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Israel Science Foundation; Agence Nationale de la Recherche","keywords":"Mathematics; Type (biology); Projection (relational algebra); Property (philosophy); Pure mathematics; Construct (python library); Combinatorics; Algorithm; Computer science","score_opus":0.02870930714973145,"score_gpt":0.33970615616213606,"score_spread":0.3109968490124046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2789940580","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5924952,0.0008861507,0.17004098,0.0014161378,0.00036411907,0.00010349442,0.0012246819,0.0004953629,0.2329739],"genre_scores_gemma":[0.9560771,0.00036670416,0.013848242,0.00016971234,0.00017827917,0.000089265275,0.001045683,0.00013523204,0.028089866],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934274,0.0001350958,0.000031037856,0.0001356737,0.00017079698,0.000184584],"domain_scores_gemma":[0.9994523,0.00017956148,0.000079991856,0.00004841689,0.00008927269,0.00015048835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005685732,0.0008730715,0.00079976727,0.0020801905,0.0019361601,0.004819952,0.0010649337,0.0010429437,0.011101411],"category_scores_gemma":[0.0012816405,0.00059572235,0.000889587,0.0014035753,0.0031163415,0.00296859,0.001621655,0.0018638631,0.0010896163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026606875,0.00001197379,0.0001566464,0.00001283361,0.000005043142,0.00006831592,0.00008858798,0.0010441401,0.0003524783,0.99648714,0.00046282867,0.0012834168],"study_design_scores_gemma":[0.000028900798,0.000016493928,0.00046697538,0.000018313176,0.000013491177,0.000118287666,0.00021127454,0.0062257024,0.0005138294,0.9881798,0.0041898303,0.000017080947],"about_ca_topic_score_codex":0.0018596249,"about_ca_topic_score_gemma":0.0024112964,"teacher_disagreement_score":0.011101411,"about_ca_system_score_codex":0.0018634,"about_ca_system_score_gemma":0.00054083474,"threshold_uncertainty_score":0.037137985},"labels":[],"label_agreement":null},{"id":"W2791833396","doi":"10.1016/j.aim.2018.10.031","title":"General non-commutative locally compact locally Hausdorff Stone duality","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Hausdorff space; Duality (order theory); Pure mathematics; Locally compact space; Commutative property; Class (philosophy); Zero (linguistics); Inverse; Geometry","score_opus":0.046021465807343585,"score_gpt":0.41403848411767347,"score_spread":0.3680170183103299,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2791833396","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52861995,0.0023362592,0.28857836,0.0034012413,0.0005907315,0.000078279336,0.00041722166,0.00044877996,0.17552911],"genre_scores_gemma":[0.94887173,0.0006755708,0.014843526,0.00051557255,0.00030286872,0.000057784164,0.0002699778,0.00008238343,0.034380473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993735,0.00012247427,0.000044911536,0.00016586548,0.00018668828,0.00010657628],"domain_scores_gemma":[0.9993166,0.00018394357,0.000089659334,0.000106646876,0.00014438515,0.00015879702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010462098,0.0008291099,0.0009864212,0.001276964,0.0014197647,0.0027719818,0.00071663386,0.0010667284,0.0073415576],"category_scores_gemma":[0.0014379601,0.00033052498,0.0009041973,0.0007634429,0.0024749753,0.0057994355,0.0024320995,0.0017408007,0.00073844683],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018408298,0.000008990776,0.00009108793,0.000019839283,0.0000077267705,0.00008563907,0.00008463635,0.00031482856,0.0008461448,0.99740654,0.00024164078,0.00087451795],"study_design_scores_gemma":[0.000014005327,0.000021333242,0.00023322497,0.0000062210106,0.000010230609,0.0002271864,0.0001225421,0.0032333457,0.00088355184,0.99312615,0.0021130198,0.000009206947],"about_ca_topic_score_codex":0.0004643679,"about_ca_topic_score_gemma":0.0004037024,"teacher_disagreement_score":0.0073415576,"about_ca_system_score_codex":0.0011071444,"about_ca_system_score_gemma":0.00058927166,"threshold_uncertainty_score":0.024559975},"labels":[],"label_agreement":null},{"id":"W2792380369","doi":"10.1016/j.aim.2019.02.014","title":"A multiscale theory for image registration and nonlinear inverse problems","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Counterexample; Inverse; Context (archaeology); Inverse problem; Mathematical proof; Image (mathematics); Decomposition; Nonlinear system; Applied mathematics; Convergence (economics); Range (aeronautics); Algorithm; Mathematical analysis; Discrete mathematics; Artificial intelligence; Computer science; Geometry","score_opus":0.03693879276460973,"score_gpt":0.35980072558736564,"score_spread":0.32286193282275594,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2792380369","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004365978,0.001339332,0.98854405,0.00081569026,0.00025740152,0.00001949302,0.000051399944,0.00008944848,0.0045171906],"genre_scores_gemma":[0.308646,0.006140435,0.6510468,0.0013565518,0.0027788985,0.0002609054,0.00035563624,0.00056313287,0.028851636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921095,0.00020024249,0.000058312802,0.00017089208,0.00030034286,0.00005919292],"domain_scores_gemma":[0.9989071,0.00037729353,0.00015327304,0.0001898284,0.00025943396,0.00011304653],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013356444,0.00091485557,0.0013715404,0.0029209657,0.00086946186,0.0022657348,0.0012276552,0.0019031207,0.002735754],"category_scores_gemma":[0.003407831,0.00078005966,0.0018271933,0.0014329788,0.0022722387,0.0031779532,0.0027336096,0.0031631934,0.0008559182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000127093845,0.000017005186,0.00010687714,0.000085559535,0.000028469394,0.00010464355,0.00008980872,0.009566509,0.005908582,0.96516246,0.002007783,0.016909556],"study_design_scores_gemma":[0.000009915619,0.00004616416,0.00038453558,0.000031438227,0.000030821575,0.00031628393,0.000043430828,0.23243281,0.0012255359,0.7520482,0.013402962,0.000027892493],"about_ca_topic_score_codex":0.0011006953,"about_ca_topic_score_gemma":0.0011427036,"teacher_disagreement_score":0.0029209657,"about_ca_system_score_codex":0.0008185558,"about_ca_system_score_gemma":0.00059395574,"threshold_uncertainty_score":0.009152055},"labels":[],"label_agreement":null},{"id":"W2798115745","doi":"10.1016/j.aim.2022.108368","title":"Differential operators on G/U and the Gelfand-Graev action","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Engineering Research Centers; National Science Foundation","keywords":"Mathematics; Algebraic group; Unipotent; Cotangent bundle; Differential operator; Pure mathematics; Reductive group; Affine variety; Langlands dual group; Algebra over a field; Automorphism; Weyl algebra; Algebraic number; Affine transformation; Group theory; Mathematical analysis; Trigonometric functions","score_opus":0.023821842425487353,"score_gpt":0.3264882340278151,"score_spread":0.3026663916023278,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2798115745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5467534,0.010597487,0.1002152,0.011329108,0.0020042642,0.000097526034,0.00040500457,0.000630824,0.32796726],"genre_scores_gemma":[0.95220804,0.002370823,0.013795141,0.00094500097,0.0010794185,0.00006917366,0.00015430896,0.00011372181,0.029264422],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994837,0.00016697591,0.000021227694,0.00006901992,0.00015495722,0.00010410463],"domain_scores_gemma":[0.9993181,0.0001744431,0.00012738234,0.000045633584,0.00011205649,0.00022231984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010132713,0.0011422314,0.0010610168,0.004158923,0.002112612,0.0025681122,0.0010403146,0.0019051435,0.0055891005],"category_scores_gemma":[0.0018995989,0.00033811753,0.0008220362,0.0014344567,0.004128383,0.003373977,0.0026138893,0.0023893565,0.000852455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000130681265,0.000008290966,0.00004853995,0.000011291825,0.0000038248145,0.000059327318,0.000084456966,0.00029865708,0.0002980604,0.9973393,0.00042903837,0.0014061786],"study_design_scores_gemma":[0.00001154069,0.000011268331,0.000106838386,0.000009731072,0.0000029109922,0.00009832703,0.000055344517,0.0018910432,0.00012583981,0.99633837,0.0013406754,0.000008113821],"about_ca_topic_score_codex":0.0019072562,"about_ca_topic_score_gemma":0.0011363567,"teacher_disagreement_score":0.0055891005,"about_ca_system_score_codex":0.0017866623,"about_ca_system_score_gemma":0.0009814186,"threshold_uncertainty_score":0.018697381},"labels":[],"label_agreement":null},{"id":"W2801248767","doi":"10.1016/j.aim.2019.05.027","title":"How to count zeroes of polynomials on quadrature domains using the Bezout matrix","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Israel Science Foundation; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Meromorphic function; Quadrature (astronomy); Polynomial; Pure mathematics; Polynomial matrix; Algebra over a field; Matrix polynomial; Mathematical analysis","score_opus":0.03467185787520494,"score_gpt":0.3562136515107968,"score_spread":0.3215417936355919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2801248767","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0281235,0.00041795766,0.963717,0.00033445243,0.0003636984,0.000058120586,0.00012928068,0.00047160377,0.006384488],"genre_scores_gemma":[0.29527465,0.00081662985,0.694058,0.00026600718,0.00043356203,0.00010004731,0.00041320402,0.00083573733,0.007802215],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99774396,0.0005220315,0.00018211787,0.0003765485,0.0009835786,0.00019178935],"domain_scores_gemma":[0.9962077,0.0015090498,0.0002709104,0.00058515696,0.0010334699,0.0003937016],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021525219,0.0011982465,0.0017196744,0.0036353269,0.001286923,0.004584221,0.0020916855,0.0010881128,0.007005603],"category_scores_gemma":[0.013098095,0.0005898758,0.001003575,0.0022715458,0.002767838,0.0077434336,0.0036727586,0.0033705425,0.0019498746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028160212,0.000100486206,0.0018453279,0.00026100976,0.00006691284,0.00020714136,0.0003953091,0.009788184,0.012401518,0.7646602,0.006299984,0.2036925],"study_design_scores_gemma":[0.000038458984,0.00006996187,0.0004920933,0.00007923229,0.00003639956,0.00026495275,0.00021355702,0.100245945,0.0076619196,0.8786659,0.012159019,0.000072503164],"about_ca_topic_score_codex":0.0013650871,"about_ca_topic_score_gemma":0.0017355997,"teacher_disagreement_score":0.007005603,"about_ca_system_score_codex":0.00065515476,"about_ca_system_score_gemma":0.00066440995,"threshold_uncertainty_score":0.02343607},"labels":[],"label_agreement":null},{"id":"W2810662365","doi":"10.1016/j.aim.2019.04.022","title":"Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subvariety; Annihilator; Mathematics; Endomorphism; Pure mathematics; Variety (cybernetics); Field (mathematics); Torus; Skew; Orbit (dynamics); Point (geometry); Polynomial; Discrete mathematics; Algebra over a field; Mathematical analysis; Computer science; Geometry","score_opus":0.024729804644820677,"score_gpt":0.3242013845119471,"score_spread":0.2994715798671264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2810662365","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94416565,0.00046657657,0.017771028,0.0002968571,0.000117762655,0.00002504432,0.0001987839,0.00011340233,0.03684491],"genre_scores_gemma":[0.99081075,0.00019258373,0.0022085635,0.000034814635,0.00012539014,0.000024780353,0.00018963704,0.00003842458,0.006375098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994161,0.000089599285,0.000032086136,0.00012043628,0.00018117375,0.00016060214],"domain_scores_gemma":[0.9993425,0.00019652647,0.00013590937,0.00007542266,0.000069416645,0.00018016987],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053421734,0.000718923,0.0006583071,0.0023785548,0.0016522745,0.0030980704,0.00083116227,0.00061026943,0.0053013545],"category_scores_gemma":[0.0015973503,0.00044468296,0.0007290853,0.0011554841,0.002505604,0.0025162296,0.002023782,0.0014777249,0.00045543027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018850998,0.00007451886,0.0012370871,0.000051715364,0.000020959978,0.00032540617,0.00082922325,0.00083099894,0.004680342,0.9830321,0.0007173879,0.008011735],"study_design_scores_gemma":[0.000054551238,0.0000664725,0.0031388148,0.000026574235,0.000036287358,0.0007017054,0.00042434825,0.006257239,0.0034943738,0.98284346,0.0029273257,0.000028822275],"about_ca_topic_score_codex":0.00049056223,"about_ca_topic_score_gemma":0.0003306879,"teacher_disagreement_score":0.0053013545,"about_ca_system_score_codex":0.0010495696,"about_ca_system_score_gemma":0.00051137025,"threshold_uncertainty_score":0.017734826},"labels":[],"label_agreement":null},{"id":"W2883373993","doi":"10.1016/j.aim.2019.02.009","title":"Zeros of partial sums of L-functions","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Waterloo; Rice University","keywords":"Mathematics; Dirichlet series; Multiplicative function; Zero (linguistics); Combinatorics; Dirichlet distribution; Logarithm; Series (stratigraphy); Riemann zeta function; Function (biology); Class number formula; Pure mathematics; Mathematical analysis","score_opus":0.03636263989413513,"score_gpt":0.36740636254789316,"score_spread":0.33104372265375803,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2883373993","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.777354,0.0012770054,0.15322936,0.0016144448,0.00046362152,0.00004988424,0.00032659085,0.0005093839,0.06517567],"genre_scores_gemma":[0.96790534,0.00057596527,0.012091243,0.0002166782,0.00059611344,0.000089950634,0.000339154,0.0002446889,0.017940896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844235,0.00052030775,0.000090706366,0.00021712107,0.00038667937,0.0003428656],"domain_scores_gemma":[0.9935695,0.0031436437,0.00083007984,0.0003432294,0.0008033369,0.0013103519],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017734371,0.0017876278,0.0013791189,0.0054083387,0.0022115158,0.005825389,0.0020159762,0.0015673237,0.009351945],"category_scores_gemma":[0.013640806,0.0008937424,0.0010801927,0.0021436622,0.005454694,0.0061037177,0.004078549,0.002614241,0.0019930245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030691156,0.000065164524,0.0009286019,0.00014960302,0.0000482508,0.00036861748,0.0005530649,0.0019759682,0.0050177653,0.9803051,0.0014640724,0.008816928],"study_design_scores_gemma":[0.000044260258,0.000049524813,0.0007138007,0.000053039417,0.000027235572,0.0004918606,0.00021564034,0.013694214,0.0023973156,0.98057944,0.0016835523,0.000050006103],"about_ca_topic_score_codex":0.00048663095,"about_ca_topic_score_gemma":0.0004094923,"teacher_disagreement_score":0.009351945,"about_ca_system_score_codex":0.0016010618,"about_ca_system_score_gemma":0.00070962345,"threshold_uncertainty_score":0.031285346},"labels":[],"label_agreement":null},{"id":"W2883434303","doi":"10.1016/j.aim.2021.107947","title":"The quantum Hikita conjecture","year":2021,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics; Massachusetts Institute of Technology; National Science Foundation","keywords":"Symplectic geometry; Quantum cohomology; Symplectomorphism; Mathematics; Pure mathematics; Conjecture; Ring (chemistry); Variety (cybernetics); Affine variety; Singularity; Torus; Resolution (logic); Cohomology; Symplectic manifold; Dual (grammatical number); Equivariant cohomology; Mathematical analysis; Geometry; Computer science","score_opus":0.025488329190046507,"score_gpt":0.3274717675354172,"score_spread":0.30198343834537067,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2883434303","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31239688,0.004278208,0.08744537,0.041515615,0.0023801164,0.00006112071,0.0012190108,0.0005560578,0.5501476],"genre_scores_gemma":[0.9392686,0.0012337858,0.0107897315,0.0025993173,0.0015168604,0.000088989735,0.0004550722,0.00012063585,0.043926958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992048,0.00023587863,0.000026983014,0.00016792997,0.00022568698,0.00013862227],"domain_scores_gemma":[0.99899775,0.00041153454,0.00009572721,0.0002160217,0.00016054702,0.000118389995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009522271,0.00059325027,0.0010687032,0.0011992754,0.0024584609,0.004270874,0.0011811947,0.0025251938,0.012748753],"category_scores_gemma":[0.0032066128,0.0004404662,0.00078292115,0.0011775839,0.0042593875,0.007974712,0.0027834955,0.0037569946,0.0017001963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014121251,0.00000845449,0.00010361903,0.000017385246,0.0000033444708,0.000019244906,0.000058625596,0.00027322638,0.00009473045,0.9956359,0.0024554636,0.0013159141],"study_design_scores_gemma":[0.000007641964,0.0000018032465,0.000093732575,0.00000515871,0.0000020116458,0.000020579968,0.000029273613,0.0010792881,0.00004634173,0.99680436,0.0019065589,0.000003308931],"about_ca_topic_score_codex":0.0019162409,"about_ca_topic_score_gemma":0.0015658007,"teacher_disagreement_score":0.012748753,"about_ca_system_score_codex":0.0017641329,"about_ca_system_score_gemma":0.0010265431,"threshold_uncertainty_score":0.042648792},"labels":[],"label_agreement":null},{"id":"W2895228254","doi":"10.1016/j.aim.2020.107152","title":"Stacky dualities for the moduli of Higgs bundles","year":2020,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Toronto","funders":"Ministry of Colleges and Universities; University of Toronto; National Science Foundation; Government of Canada; University of Texas at Austin; Institut Périmètre de physique théorique; Innovation, Science and Economic Development Canada","keywords":"Langlands dual group; Stack (abstract data type); Mathematics; Higgs boson; Conjecture; Moduli space; Quotient; Moduli; Cohomology; Modulo; Pure mathematics; Fibration; Combinatorics; Physics; Particle physics; Quantum mechanics","score_opus":0.07738032186877308,"score_gpt":0.3756382033840475,"score_spread":0.29825788151527444,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2895228254","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6732795,0.0039471453,0.09559179,0.008763296,0.0011265409,0.00011044724,0.0007026821,0.0003064904,0.2161721],"genre_scores_gemma":[0.9440268,0.0014363608,0.012955621,0.0005727032,0.0014019544,0.00009300071,0.00039760873,0.00013431175,0.038981605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994185,0.00015151201,0.000040220686,0.00008794436,0.00018903113,0.00011266549],"domain_scores_gemma":[0.99907124,0.00022515765,0.00014922032,0.00008204728,0.00015919878,0.0003130599],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014533935,0.0012066172,0.00079229334,0.0050646504,0.0023150272,0.0048949583,0.00096895214,0.0018496565,0.010370583],"category_scores_gemma":[0.0025351427,0.0005487846,0.000931711,0.0016319831,0.0031023356,0.008651324,0.00396978,0.0035049855,0.00121914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018323486,0.000016957478,0.00011341025,0.000017107861,0.000004220587,0.00006198991,0.00012706361,0.00016467906,0.00046643653,0.9971818,0.0004668348,0.0013612352],"study_design_scores_gemma":[0.000013060118,0.000009906011,0.00020420659,0.000011935501,0.000004727387,0.00009502024,0.000092416056,0.0015822976,0.00021218415,0.9963613,0.001404655,0.000008327095],"about_ca_topic_score_codex":0.0006188517,"about_ca_topic_score_gemma":0.0006030081,"teacher_disagreement_score":0.010370583,"about_ca_system_score_codex":0.0016528803,"about_ca_system_score_gemma":0.00071537116,"threshold_uncertainty_score":0.034693062},"labels":[],"label_agreement":null},{"id":"W2898898042","doi":"10.1016/j.aim.2018.10.036","title":"The computability, definability, and proof theory of Artinian rings","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Artinian ring; Noetherian; Lemma (botany); Reverse mathematics; Semisimple module; Axiom; Pure mathematics; Algebra over a field; Ring (chemistry); Discrete mathematics; Noncommutative ring","score_opus":0.013538023651224411,"score_gpt":0.2755773544212002,"score_spread":0.26203933076997576,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2898898042","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2838582,0.040310945,0.40022442,0.016425265,0.0013718774,0.00011454689,0.0008263091,0.00048487526,0.2563835],"genre_scores_gemma":[0.9505525,0.0046904166,0.03200347,0.0005764498,0.0014923656,0.00007777287,0.00025525558,0.000047651356,0.010304071],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977349,0.0008735099,0.00015597294,0.00046079402,0.00056339335,0.0002113893],"domain_scores_gemma":[0.99436545,0.0039861132,0.000330703,0.0007145863,0.00035839455,0.00024481345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035409618,0.00066662324,0.0011247918,0.0025408694,0.0026558824,0.0060944157,0.0018946346,0.0013701845,0.0032176538],"category_scores_gemma":[0.007459136,0.0006504764,0.0014461916,0.0021614877,0.011217761,0.014613514,0.00283114,0.0048319544,0.00033253452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009065437,0.000006081779,0.00006340472,0.000022518718,0.0000038757657,0.000008153397,0.00007943865,0.0004090616,0.00007277461,0.99720544,0.00022748433,0.0018926329],"study_design_scores_gemma":[0.000006685267,0.000003986161,0.000071796865,0.000009487527,0.0000044813,0.00001475332,0.000015387344,0.0011582379,0.00007676126,0.9968913,0.0017422589,0.0000049152763],"about_ca_topic_score_codex":0.0014154656,"about_ca_topic_score_gemma":0.0008914193,"teacher_disagreement_score":0.0060944157,"about_ca_system_score_codex":0.002773887,"about_ca_system_score_gemma":0.0015540672,"threshold_uncertainty_score":0.020125985},"labels":[],"label_agreement":null},{"id":"W2899110854","doi":"10.1016/j.aim.2023.108931","title":"A Riemann-Hurwitz-Plücker formula","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Inflection point; Morphism; Pure mathematics; Projective variety; Algebraic curve; Variety (cybernetics); Riemann–Hurwitz formula; Generalization; Algebraic variety; Riemann hypothesis; Algebraic number; Projective test; Degeneracy (biology); Mathematical analysis; Geometry; Riemann Xi function","score_opus":0.028648710670933344,"score_gpt":0.33814580277419143,"score_spread":0.3094970921032581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2899110854","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2514604,0.0046263994,0.1821779,0.009488958,0.002507707,0.00007940773,0.0006620596,0.0007086841,0.54828846],"genre_scores_gemma":[0.9112411,0.001442551,0.019600214,0.00088085985,0.0011503043,0.000045162258,0.0002873672,0.00018183907,0.06517064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999663,0.000083625215,0.000014410643,0.00006935009,0.00011311168,0.00005648375],"domain_scores_gemma":[0.9996301,0.00010380815,0.00003336543,0.000059005335,0.00010543133,0.00006821644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000507326,0.00078429934,0.00068345777,0.0016060392,0.0013944554,0.0026254049,0.0010821904,0.001445726,0.012109178],"category_scores_gemma":[0.0020919063,0.000284823,0.0005111356,0.0016155312,0.0021534252,0.004151084,0.0020134738,0.002298267,0.0021377911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009799981,0.0000065165755,0.000058561207,0.000013274404,0.000002645923,0.000040637773,0.00006049815,0.00017129222,0.00035823122,0.9936579,0.0014202377,0.0042005056],"study_design_scores_gemma":[0.0000064533547,0.000006100551,0.00011848959,0.000006456753,0.0000036403605,0.00008805213,0.000032122964,0.0015585572,0.00026447084,0.9934737,0.0044354764,0.000006431973],"about_ca_topic_score_codex":0.0008687352,"about_ca_topic_score_gemma":0.0005744912,"teacher_disagreement_score":0.012109178,"about_ca_system_score_codex":0.0010949011,"about_ca_system_score_gemma":0.00058516,"threshold_uncertainty_score":0.040509284},"labels":[],"label_agreement":null},{"id":"W2899477094","doi":"10.1016/j.aim.2019.01.007","title":"Sparse domination and the strong maximal function","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Function (biology); Point (geometry); Mathematics; Combinatorics; Type (biology); Pure mathematics; Discrete mathematics; Geometry","score_opus":0.05207420033148778,"score_gpt":0.3736898510335682,"score_spread":0.3216156507020804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2899477094","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5491673,0.0038972695,0.22560771,0.008135282,0.00039889658,0.000048461752,0.0005234593,0.00024808498,0.21197358],"genre_scores_gemma":[0.9700927,0.00087757857,0.007480715,0.00036760842,0.0005320753,0.000038892227,0.00016197508,0.00007152113,0.02037697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994586,0.00015901936,0.000015218738,0.00009664512,0.00015693322,0.00011352803],"domain_scores_gemma":[0.9982345,0.0010214357,0.00015828658,0.00013653631,0.00019074224,0.00025845057],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009569277,0.00057462486,0.0006820022,0.0016383538,0.0011547441,0.0022378508,0.0007045436,0.0008784993,0.0069234557],"category_scores_gemma":[0.004680476,0.00028328097,0.00050542766,0.0009147588,0.0027448626,0.003297203,0.002498492,0.0018783468,0.000534578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003008514,0.000007275371,0.00018428628,0.000025387244,0.00000676163,0.000022644059,0.000072808514,0.0010212383,0.00077952095,0.9927394,0.0010672936,0.0040435],"study_design_scores_gemma":[0.00000893182,0.000007185719,0.00022564082,0.0000068436543,0.0000048364386,0.000055569875,0.00003661536,0.0061920527,0.00029868702,0.99135005,0.001808673,0.000004892012],"about_ca_topic_score_codex":0.0007798672,"about_ca_topic_score_gemma":0.00058285473,"teacher_disagreement_score":0.0069234557,"about_ca_system_score_codex":0.001204201,"about_ca_system_score_gemma":0.00056768785,"threshold_uncertainty_score":0.023161292},"labels":[],"label_agreement":null},{"id":"W2908957408","doi":"10.1016/j.aim.2020.107108","title":"Poincaré-Lovelock metrics on conformally compact manifolds","year":2020,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Conformal map; Einstein; Poincaré conjecture; Generalization; Metric (unit); Mathematical physics; Mathematics; Pure mathematics; Ball (mathematics); Physics; Mathematical analysis","score_opus":0.05400780896902328,"score_gpt":0.33917292902501456,"score_spread":0.28516512005599126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2908957408","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70608765,0.0045392867,0.121638075,0.008375423,0.0013058916,0.000087894805,0.00071798114,0.00033191798,0.15691581],"genre_scores_gemma":[0.9148491,0.0021449472,0.015394544,0.0005395527,0.0013164398,0.00006693458,0.00057535194,0.00017181087,0.0649414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995135,0.0001702277,0.000027473488,0.00008714868,0.00014109936,0.000060466493],"domain_scores_gemma":[0.998749,0.00030646412,0.00023769274,0.000114028284,0.0002669601,0.00032593549],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009361463,0.0013606034,0.0006544007,0.004040468,0.0016601684,0.0033909709,0.0010578391,0.0017282483,0.007444239],"category_scores_gemma":[0.004822077,0.0005242682,0.0005126851,0.001580678,0.0019456835,0.0060035386,0.0025959183,0.001780831,0.0009463423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013285088,0.000014805132,0.00025922348,0.000013640857,0.0000034532668,0.00004373846,0.00010973418,0.00081405794,0.00047759863,0.9949993,0.0010843149,0.0021668582],"study_design_scores_gemma":[0.000008603962,0.000013001561,0.00051670615,0.00000923272,0.0000036220904,0.00009615119,0.000060022645,0.008692744,0.00021913389,0.98747385,0.0028968437,0.000010226826],"about_ca_topic_score_codex":0.001828653,"about_ca_topic_score_gemma":0.0016754734,"teacher_disagreement_score":0.007444239,"about_ca_system_score_codex":0.0018491424,"about_ca_system_score_gemma":0.0008593439,"threshold_uncertainty_score":0.024903417},"labels":[],"label_agreement":null},{"id":"W2913057656","doi":"10.1016/j.aim.2020.107173","title":"On a conjecture of Voisin on the gonality of very general abelian varieties","year":2020,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Abelian group; Mathematics; Equivalence (formal languages); Conjecture; Arithmetic of abelian varieties; Pure mathematics; Dimension (graph theory); Abelian variety of CM-type; Upper and lower bounds; Irrationality; Degree (music); Rank of an abelian group; Elementary abelian group; Mathematical analysis; Physics; Political science; Rationality","score_opus":0.038731369919367424,"score_gpt":0.3196011125266284,"score_spread":0.28086974260726094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2913057656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53409797,0.008017032,0.07195701,0.056164715,0.00623871,0.00007955727,0.0008202976,0.0005570637,0.32206768],"genre_scores_gemma":[0.96023035,0.0016894275,0.0068698386,0.0030445736,0.0033872514,0.000059972816,0.0005060919,0.000157943,0.024054565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99820757,0.0006298128,0.00007408503,0.00046048634,0.00030205032,0.00032599093],"domain_scores_gemma":[0.99508,0.003135217,0.00032646864,0.00051477435,0.00047143275,0.0004720957],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031079003,0.0010437956,0.002036265,0.0026181343,0.003489433,0.0044128485,0.0025196245,0.004032656,0.009261873],"category_scores_gemma":[0.0106764985,0.0007020587,0.00189859,0.0024661182,0.012727261,0.013453718,0.006995788,0.007080648,0.0009580407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013242265,0.00003409354,0.00055181386,0.000058575708,0.000016508744,0.00010462664,0.00048512602,0.0011577399,0.00030615003,0.988941,0.0045979368,0.0036140762],"study_design_scores_gemma":[0.000020889067,0.000015363697,0.00033236213,0.000019288558,0.000007116758,0.000051589235,0.00011103854,0.0010546212,0.00009433736,0.99473405,0.0035467853,0.000012487643],"about_ca_topic_score_codex":0.0021855533,"about_ca_topic_score_gemma":0.0011211273,"teacher_disagreement_score":0.009261873,"about_ca_system_score_codex":0.0024801781,"about_ca_system_score_gemma":0.0009624495,"threshold_uncertainty_score":0.030984044},"labels":[],"label_agreement":null},{"id":"W2916699178","doi":"10.1016/j.aim.2019.01.045","title":"Crossed products of nuclear C⁎-algebras and their traces","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Crossed product; Semidirect product; Free product; Abelian group; Pure mathematics; Group (periodic table); Rank (graph theory); Product (mathematics); Separable space; Zero (linguistics); Field (mathematics); Combinatorics; Algebra over a field; Mathematical analysis","score_opus":0.02278421250322887,"score_gpt":0.32682890415950594,"score_spread":0.30404469165627707,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2916699178","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49401292,0.003171179,0.3617769,0.00194623,0.00085694744,0.00010902234,0.00049343554,0.0004848645,0.13714854],"genre_scores_gemma":[0.9317609,0.001337617,0.029317372,0.00041501474,0.0005899466,0.00012515165,0.0004186253,0.00020914075,0.035826307],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847907,0.0003818912,0.000107733395,0.00024772523,0.00053725304,0.00024634422],"domain_scores_gemma":[0.99741447,0.0007951826,0.000395387,0.00020024383,0.0005735061,0.0006212687],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020917442,0.0011821762,0.0007776794,0.0040668356,0.002583766,0.005645066,0.0018359665,0.0018260448,0.008254198],"category_scores_gemma":[0.0045725377,0.00067959254,0.0011474245,0.0032303128,0.0051010908,0.0075546494,0.00321731,0.0028572907,0.0012271883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009761301,0.000007976339,0.000058146066,0.000008342375,0.0000046267783,0.000030814303,0.00011802128,0.0001509069,0.00020375084,0.9982218,0.00014245264,0.0010433872],"study_design_scores_gemma":[0.0000056864055,0.000013691768,0.00008101423,0.0000070569167,0.000004793999,0.00007524672,0.00007172503,0.0015622762,0.0002494046,0.9967784,0.0011402492,0.000010492387],"about_ca_topic_score_codex":0.0024144412,"about_ca_topic_score_gemma":0.0013696039,"teacher_disagreement_score":0.008254198,"about_ca_system_score_codex":0.0018699076,"about_ca_system_score_gemma":0.0012729507,"threshold_uncertainty_score":0.027613044},"labels":[],"label_agreement":null},{"id":"W2922297948","doi":"10.1016/j.aim.2022.108513","title":"Scaling limits of permutation classes with a finite specification: A dichotomy","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Future Earth","funders":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Agence Nationale de la Recherche; National Science Foundation","keywords":"Mathematics; Random permutation; Permutation (music); Separable space; Limit (mathematics); Substitution (logic); Combinatorics; Discrete mathematics; Scaling limit; Limiting; Simple (philosophy); Scaling; Symmetric group; Computer science","score_opus":0.01687842668211548,"score_gpt":0.2675458652067728,"score_spread":0.25066743852465734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2922297948","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4639974,0.0020321526,0.36841822,0.009710217,0.00064972247,0.0001171211,0.00040043055,0.0010199718,0.15365475],"genre_scores_gemma":[0.9599082,0.00063897547,0.024157086,0.0010064302,0.0006141636,0.00023176015,0.00024033555,0.0002570859,0.012946017],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995743,0.0013236431,0.00028084568,0.0010132331,0.0010209522,0.0006183713],"domain_scores_gemma":[0.98229295,0.009730487,0.0012794047,0.0032328202,0.0013948113,0.0020695732],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0043580555,0.00095889915,0.0020578043,0.0022594344,0.0040512006,0.008039938,0.0024594364,0.0034848826,0.009665468],"category_scores_gemma":[0.018595567,0.0011158437,0.002145011,0.0017973046,0.010125282,0.015827257,0.006356911,0.0057250387,0.0010790774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011340069,0.000015493166,0.00008381384,0.0000119627175,0.000003068494,0.000029072162,0.000111694404,0.00033263396,0.00016418482,0.9978612,0.0002520036,0.00112366],"study_design_scores_gemma":[0.000010648155,0.000012342361,0.00006917072,0.000009656371,0.000003964509,0.00005921317,0.00006211509,0.0042427536,0.00018229376,0.9947466,0.00059260795,0.000008637386],"about_ca_topic_score_codex":0.0012106905,"about_ca_topic_score_gemma":0.00060764345,"teacher_disagreement_score":0.009665468,"about_ca_system_score_codex":0.0022489233,"about_ca_system_score_gemma":0.0016457151,"threshold_uncertainty_score":0.03233421},"labels":[],"label_agreement":null},{"id":"W2933682407","doi":"10.1016/j.aim.2019.04.013","title":"The Hanna Neumann conjecture for Demushkin groups","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation; Israel Science Foundation; Ministerio de Economía y Competitividad","keywords":"Conjecture; Bar (unit); Cardinality (data modeling); Backslash; Mathematics; Combinatorics; Group (periodic table); Von Neumann architecture; Cover (algebra); Pure mathematics; Physics; Computer science; Quantum mechanics","score_opus":0.03287260248321257,"score_gpt":0.34340960773582596,"score_spread":0.3105370052526134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2933682407","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39036158,0.0041522747,0.048420113,0.027615562,0.0023675945,0.000044593606,0.00064401387,0.00036441672,0.5260298],"genre_scores_gemma":[0.94071156,0.001048719,0.0046253833,0.0014880043,0.0013387079,0.000046546167,0.0003413967,0.00008218437,0.05031748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993005,0.00021838468,0.00002579895,0.00014650388,0.00017969144,0.00012914049],"domain_scores_gemma":[0.99879265,0.00059762096,0.0000863493,0.0001895207,0.00014841287,0.00018554741],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001141191,0.00055551564,0.0008601213,0.0014531555,0.002468084,0.0035117,0.00078592054,0.0018804729,0.011395513],"category_scores_gemma":[0.0041215955,0.00036746624,0.0005973675,0.0009545812,0.0038587002,0.0074602766,0.0028886814,0.0033658815,0.0015889807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044776127,0.000012947822,0.00017691494,0.000021499909,0.0000042911574,0.00003651257,0.00012880252,0.0003432306,0.0002564448,0.9943773,0.002224512,0.002372799],"study_design_scores_gemma":[0.0000065325353,0.000003078934,0.00010124569,0.0000059411545,0.0000020885948,0.000027606615,0.000047529396,0.0006816721,0.000120491306,0.99649906,0.0025006328,0.0000041267936],"about_ca_topic_score_codex":0.00096050475,"about_ca_topic_score_gemma":0.0006687396,"teacher_disagreement_score":0.011395513,"about_ca_system_score_codex":0.0013335211,"about_ca_system_score_gemma":0.0006840996,"threshold_uncertainty_score":0.03812182},"labels":[],"label_agreement":null},{"id":"W2949679847","doi":"10.1016/s0001-8708(03)00229-9","title":"Quantum cohomology of the infinite-dimensional generalized flag manifolds","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Generalized flag variety; Quantum cohomology; Flag (linear algebra); Toda lattice; Pure mathematics; Isomorphism (crystallography); Cohomology ring; Maximal torus; Type (biology); Quantum; Lie group; Lattice (music); Cohomology; Multiplicative function; Lie algebra; Mathematical analysis; Algebra over a field; Equivariant cohomology; Quantum mechanics","score_opus":0.0220890555069774,"score_gpt":0.31067204412118177,"score_spread":0.2885829886142044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949679847","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92456615,0.0009366862,0.02317176,0.0019380845,0.000245408,0.000022375736,0.00014362574,0.00011699463,0.048858874],"genre_scores_gemma":[0.9856559,0.0003517171,0.002652434,0.00015787533,0.0002221862,0.000014800389,0.00010525664,0.000019753046,0.010820088],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997253,0.00007523527,0.000011691086,0.000041100848,0.000078653924,0.00006800183],"domain_scores_gemma":[0.99951315,0.00007434482,0.00008405481,0.000053920605,0.000086938795,0.00018754725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048896956,0.0005346179,0.00058418786,0.0019885188,0.0015268581,0.0018300837,0.00076395774,0.000772986,0.0047303643],"category_scores_gemma":[0.0011168816,0.00025287992,0.0004462388,0.0008893408,0.0024180342,0.0038265332,0.0017410227,0.0012032293,0.0003480135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023281398,0.000017695955,0.00036716188,0.000021404754,0.000006431655,0.000093874696,0.00024651704,0.0007211884,0.0011665332,0.9938055,0.0005077917,0.0030226235],"study_design_scores_gemma":[0.000010281084,0.000022055663,0.0011474433,0.000010969297,0.0000052082873,0.00014635776,0.00014234414,0.005748225,0.00027368902,0.9910868,0.0013908098,0.000015760277],"about_ca_topic_score_codex":0.0015919063,"about_ca_topic_score_gemma":0.0015032794,"teacher_disagreement_score":0.0047303643,"about_ca_system_score_codex":0.0011324347,"about_ca_system_score_gemma":0.00061208365,"threshold_uncertainty_score":0.015824676},"labels":[],"label_agreement":null},{"id":"W2954608842","doi":"10.1016/j.aim.2019.06.020","title":"Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"Mathematics; Infimum and supremum; Type (biology); Inequality; Symmetry (geometry); Pure mathematics; Euler's formula; Function (biology); Space (punctuation); Mathematical analysis; Geometry","score_opus":0.07632475994928917,"score_gpt":0.3655227092826624,"score_spread":0.2891979493333732,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2954608842","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3953118,0.006315155,0.52253896,0.0050882217,0.000428715,0.00014069033,0.00052974484,0.0003896543,0.069257155],"genre_scores_gemma":[0.9427948,0.0020199844,0.04348146,0.0005897298,0.0003963872,0.00018208666,0.00027121828,0.00013226585,0.010132006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99836487,0.0005922597,0.00008123872,0.0002746874,0.00031033266,0.00037650194],"domain_scores_gemma":[0.98933613,0.0068438873,0.0013144594,0.0004780089,0.0010784889,0.00094901235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0055475254,0.0017557684,0.0017582916,0.0041945805,0.0017139799,0.0034152449,0.0029740864,0.002655064,0.0042502177],"category_scores_gemma":[0.02282699,0.0010764264,0.0018730932,0.0014949733,0.0041311285,0.005904975,0.0047126245,0.0062141824,0.00049471925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013686065,0.00003911409,0.0006362848,0.00013886258,0.00004702275,0.00017867179,0.00026397995,0.005938289,0.004499485,0.9819901,0.0011663315,0.004965165],"study_design_scores_gemma":[0.00007010887,0.000100050835,0.0015641376,0.00011584051,0.00006692522,0.00040045453,0.00025847866,0.13884595,0.0034593663,0.85301316,0.0020061587,0.00009932544],"about_ca_topic_score_codex":0.0013602251,"about_ca_topic_score_gemma":0.00089961704,"teacher_disagreement_score":0.0055475254,"about_ca_system_score_codex":0.0024994167,"about_ca_system_score_gemma":0.0010221311,"threshold_uncertainty_score":0.029338479},"labels":[],"label_agreement":null},{"id":"W2955063882","doi":"10.1016/j.aim.2019.06.028","title":"The asymptotic estimates and Hasse principle for multidimensional Waring's problem","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"University of Waterloo; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Hasse principle; Invertible matrix; Asymptotic formula; Bounded function; Asymptotic expansion; Uniform boundedness; Series (stratigraphy); Applied mathematics; Pure mathematics; Combinatorics; Mathematical analysis; Algebraic number field","score_opus":0.028974149968457038,"score_gpt":0.37253125248597374,"score_spread":0.3435571025175167,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955063882","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.076847546,0.006941457,0.8141269,0.0073582353,0.0010785565,0.00009026244,0.0003211509,0.00025589275,0.092980035],"genre_scores_gemma":[0.7783506,0.010259794,0.13697755,0.0017492529,0.0032164971,0.0003670594,0.0007872938,0.00044937257,0.06784251],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889153,0.00046216865,0.00005931005,0.00017709563,0.00027637568,0.0001335971],"domain_scores_gemma":[0.9947008,0.003115148,0.00040132395,0.0004207293,0.0008220293,0.0005400525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004227882,0.0019922962,0.0017263005,0.0042153057,0.0015374075,0.0023190228,0.0022177768,0.0020611305,0.009070912],"category_scores_gemma":[0.014671312,0.000621884,0.0020298392,0.001994035,0.004484468,0.008960953,0.005394667,0.006385023,0.0009570828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003191781,0.000019613013,0.0002483526,0.00011604938,0.000026611344,0.00006706758,0.00015649023,0.0030920228,0.0009809238,0.9857385,0.0018373204,0.007685132],"study_design_scores_gemma":[0.0000081826,0.000021876607,0.0002874432,0.000029806628,0.000014503846,0.00008663273,0.000064382795,0.028493246,0.0003318463,0.96736276,0.003279264,0.000020028596],"about_ca_topic_score_codex":0.0015413733,"about_ca_topic_score_gemma":0.0008241134,"teacher_disagreement_score":0.009070912,"about_ca_system_score_codex":0.0015668516,"about_ca_system_score_gemma":0.00091694074,"threshold_uncertainty_score":0.030345201},"labels":[],"label_agreement":null},{"id":"W2959678187","doi":"10.1016/j.aim.2019.07.007","title":"New sine ellipsoids and related volume inequalities","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"National Natural Science Foundation of China","keywords":"Ellipsoid; Mathematics; Pythagorean theorem; Sine; Legendre polynomials; Mathematical analysis; Duality (order theory); Pure mathematics; Geometry; Geodesy; Geology","score_opus":0.020692093824653073,"score_gpt":0.30136299174265263,"score_spread":0.28067089791799954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2959678187","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07076458,0.013201963,0.78593296,0.006424295,0.0017704751,0.00007589981,0.00062725163,0.00016765893,0.12103495],"genre_scores_gemma":[0.76600647,0.013653027,0.13909172,0.0026044438,0.004428648,0.00029778492,0.0009099565,0.0004660448,0.0725419],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861205,0.00049924356,0.000058515205,0.00020206132,0.0004961674,0.00013182645],"domain_scores_gemma":[0.99414706,0.003547459,0.00058334187,0.00033475622,0.0008469781,0.0005404487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027566666,0.001187587,0.0014004522,0.0039079147,0.0013613519,0.0036556863,0.002661148,0.001993721,0.011092269],"category_scores_gemma":[0.014573166,0.0007690174,0.0013261479,0.0031554967,0.0037208018,0.0074804146,0.004462576,0.0058601443,0.0012267687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000143957195,0.0000072513562,0.000115526724,0.000037521884,0.000006301157,0.00001724992,0.000056978923,0.0019896906,0.0002513534,0.9897362,0.0014661552,0.0063015693],"study_design_scores_gemma":[0.0000070189726,0.000008560973,0.0002026931,0.000018920797,0.000005937969,0.000057261484,0.00003927381,0.023823628,0.00013274874,0.97140986,0.0042822757,0.0000119052],"about_ca_topic_score_codex":0.0014105908,"about_ca_topic_score_gemma":0.0011000753,"teacher_disagreement_score":0.011092269,"about_ca_system_score_codex":0.0020352742,"about_ca_system_score_gemma":0.0007083994,"threshold_uncertainty_score":0.03710735},"labels":[],"label_agreement":null},{"id":"W2962678789","doi":"10.1016/j.aim.2008.09.017","title":"Hopf algebras of primitive Lie pseudogroups and Hopf cyclic cohomology","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Hopf algebra; Mathematics; Quasitriangular Hopf algebra; Pure mathematics; Algebra over a field; Cohomology; Representation theory of Hopf algebras; Quantum group; Filtered algebra; Division algebra","score_opus":0.02476207780987869,"score_gpt":0.2961048347906243,"score_spread":0.2713427569807456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962678789","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5583497,0.009101414,0.12064278,0.007840557,0.0015666451,0.0001160885,0.00044800562,0.00037104878,0.30156365],"genre_scores_gemma":[0.95800316,0.00229617,0.009448178,0.000585942,0.0018364945,0.00007614055,0.00023772,0.00004634071,0.027469931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943525,0.00014374347,0.000024469377,0.00008764375,0.00019754289,0.000111397254],"domain_scores_gemma":[0.99917763,0.0002946739,0.00012901297,0.00008366612,0.00012888668,0.0001861234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009598287,0.000905916,0.00081665674,0.0026105274,0.002481651,0.0036224306,0.001087749,0.0014119388,0.009401006],"category_scores_gemma":[0.0020315226,0.000429015,0.00068757555,0.0021099518,0.005706949,0.0064811544,0.0024575756,0.0022530924,0.0009049795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005649747,0.0000055834726,0.00004442209,0.000008642106,0.0000015297534,0.000018323397,0.000103469705,0.00013714517,0.00012937673,0.9982161,0.0002156899,0.0011140668],"study_design_scores_gemma":[0.0000040166033,0.0000037708176,0.000062893676,0.0000025119539,0.0000014760174,0.000020129724,0.000035166613,0.00046831902,0.000063766325,0.99843496,0.00089922827,0.0000036594718],"about_ca_topic_score_codex":0.0014701834,"about_ca_topic_score_gemma":0.0014051803,"teacher_disagreement_score":0.009401006,"about_ca_system_score_codex":0.0015759412,"about_ca_system_score_gemma":0.0010063018,"threshold_uncertainty_score":0.031449437},"labels":[],"label_agreement":null},{"id":"W2962719782","doi":"10.1016/j.aim.2015.09.012","title":"Dixmier groups and Borel subgroups","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Eidgenössische Technische Hochschule Zürich; Indiana University Bloomington; National Sleep Foundation; National Science Foundation","keywords":"Mathematics; Pure mathematics; Borel set; Combinatorics","score_opus":0.045799442191393126,"score_gpt":0.3415954687863376,"score_spread":0.2957960265949445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962719782","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30386513,0.03061609,0.05574335,0.01791695,0.0021471719,0.00005289573,0.000490541,0.00024149037,0.5889264],"genre_scores_gemma":[0.9066278,0.007772489,0.007800651,0.0012292499,0.0019927442,0.000053595046,0.00027209686,0.000044656277,0.07420675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996489,0.000082945895,0.000017535473,0.000071368806,0.00010521285,0.00007405726],"domain_scores_gemma":[0.9994869,0.00021750665,0.00007798515,0.000056646462,0.000064300046,0.00009647096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076097075,0.000956334,0.00069311744,0.003029721,0.0021258167,0.0032329487,0.0006963843,0.001425706,0.008997691],"category_scores_gemma":[0.0014247843,0.00037098082,0.000441882,0.0021688826,0.0047456142,0.005525252,0.002219886,0.0029466655,0.0008574692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006242183,0.0000037233985,0.000038584392,0.000006118968,0.0000013195364,0.000013650848,0.000088819164,0.000041822535,0.00011369857,0.9984048,0.00031426485,0.00096697157],"study_design_scores_gemma":[0.0000060895713,0.0000043084037,0.00010724046,0.0000051018264,0.0000031184907,0.000040098064,0.0000769994,0.00016024074,0.00011092166,0.99395424,0.005528074,0.0000036415308],"about_ca_topic_score_codex":0.0010830949,"about_ca_topic_score_gemma":0.0009418318,"teacher_disagreement_score":0.008997691,"about_ca_system_score_codex":0.001693808,"about_ca_system_score_gemma":0.0005944553,"threshold_uncertainty_score":0.030100226},"labels":[],"label_agreement":null},{"id":"W2962847659","doi":"10.1016/j.aim.2019.04.055","title":"Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Multiplicative function; Mathematics; Multiplicative number theory; Mathematical proof; Class (philosophy); Arithmetic function; Discrete mathematics; Pure mathematics; Combinatorics; Mathematical analysis; Prime factor; Computer science","score_opus":0.026904402931708545,"score_gpt":0.35253628404194287,"score_spread":0.32563188111023433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962847659","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1458688,0.029489635,0.18211938,0.058679044,0.002967904,0.00008882098,0.00063200115,0.0005624371,0.57959205],"genre_scores_gemma":[0.8203362,0.00880012,0.03706333,0.006212451,0.0025873526,0.00025597186,0.0002813621,0.00041948623,0.12404365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992005,0.00027983714,0.000027694923,0.00016220416,0.00017945822,0.00015022636],"domain_scores_gemma":[0.99897766,0.00051358866,0.000097917255,0.00017644581,0.00012347424,0.00011090072],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001528815,0.0009264881,0.0011078555,0.00208042,0.0026291895,0.00353165,0.0013103205,0.0024758338,0.0135504035],"category_scores_gemma":[0.005865135,0.00039310646,0.0010796989,0.0012331418,0.003944871,0.009690165,0.003938934,0.005565271,0.0019588552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006203173,0.0000027574183,0.000024974603,0.0000122268875,0.0000015501397,0.000008180946,0.000031440875,0.00009779602,0.00006356594,0.99748874,0.0012096,0.0010529447],"study_design_scores_gemma":[0.000006011075,0.0000035299395,0.00005314652,0.000012371895,0.000001875672,0.000027360982,0.00001647725,0.000747337,0.00006456835,0.9951604,0.0039029876,0.000003953454],"about_ca_topic_score_codex":0.0015484337,"about_ca_topic_score_gemma":0.00097337546,"teacher_disagreement_score":0.0135504035,"about_ca_system_score_codex":0.0018962286,"about_ca_system_score_gemma":0.0012007888,"threshold_uncertainty_score":0.045330584},"labels":[],"label_agreement":null},{"id":"W2962855928","doi":"10.1016/j.aim.2009.07.018","title":"Towards a theory of classification","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Functor; Surprise; Algebra over a field; Operator (biology); Quotient; Pure mathematics; Set (abstract data type); Category theory; Computer science","score_opus":0.06704768226234875,"score_gpt":0.4058595369227696,"score_spread":0.33881185466042085,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962855928","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.013240249,0.0048448555,0.88559365,0.01604177,0.0014787542,0.000056972895,0.00039311036,0.00053875335,0.07781181],"genre_scores_gemma":[0.46783927,0.0049619563,0.4520918,0.0062700836,0.0041174013,0.0004960458,0.0012244162,0.00057466945,0.062424354],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99731135,0.001144932,0.00015382182,0.0005415873,0.00063378416,0.00021450469],"domain_scores_gemma":[0.996621,0.0012772698,0.00022355298,0.0007677917,0.00082387624,0.0002864532],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038364795,0.000996582,0.0014878722,0.0039684325,0.0031703403,0.007452142,0.0032480129,0.003030038,0.007231353],"category_scores_gemma":[0.006865114,0.0010548026,0.0019599127,0.0030203823,0.010134232,0.019042484,0.004904747,0.008638549,0.002001096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000011116897,0.0000022584732,0.000029759427,0.0000058110163,0.0000013512223,0.0000031485004,0.000047120455,0.00010746297,0.000021538966,0.99765354,0.00089359336,0.0012334192],"study_design_scores_gemma":[0.000002397812,0.0000020541777,0.000026135225,0.000005782137,0.0000017510058,0.000009042399,0.000020957086,0.0013018858,0.000019345556,0.99351186,0.005096236,0.0000027480671],"about_ca_topic_score_codex":0.0031415678,"about_ca_topic_score_gemma":0.002688319,"teacher_disagreement_score":0.007452142,"about_ca_system_score_codex":0.0041150223,"about_ca_system_score_gemma":0.0020634288,"threshold_uncertainty_score":0.029856682},"labels":[],"label_agreement":null},{"id":"W2962873037","doi":"10.1016/j.aim.2016.11.008","title":"On the T-leaves of some Poisson structures related to products of flag varieties","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Research Grants Council, University Grants Committee; School for Advanced Research","keywords":"Mathematics; Flag (linear algebra); Symplectic geometry; Pure mathematics; Maximal torus; Lie group; Lie algebra; Abelian group; Combinatorics; Algebra over a field; Fundamental representation","score_opus":0.016904888326550654,"score_gpt":0.302921579314784,"score_spread":0.28601669098823335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962873037","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8617299,0.0012194044,0.0719046,0.0018336099,0.00048708005,0.000072881034,0.00027762938,0.00020955846,0.062265303],"genre_scores_gemma":[0.97008115,0.0006634075,0.009329178,0.0003750473,0.0005427582,0.00005750215,0.0002703475,0.00012082045,0.018559856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999383,0.00015945877,0.00003197102,0.000116974705,0.00014568654,0.00016288023],"domain_scores_gemma":[0.9984993,0.00029018227,0.00033734008,0.000092858805,0.00019917572,0.00058118673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011974341,0.00094358507,0.0011250902,0.0036636738,0.003975135,0.0036499074,0.0015796773,0.0019624645,0.0070553557],"category_scores_gemma":[0.0022105868,0.00074817764,0.0015165536,0.0019067235,0.005363642,0.0057555623,0.0030430558,0.0033410517,0.0008495148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052245923,0.000032099248,0.00040699705,0.00002911603,0.000011095764,0.00027139037,0.0005403528,0.00062780094,0.0010555839,0.9943606,0.00046686566,0.0021458652],"study_design_scores_gemma":[0.00002439062,0.000038992534,0.0007398735,0.000021686537,0.0000115188195,0.00027878708,0.0003051476,0.0039356695,0.00034467364,0.9931252,0.001152732,0.000021392549],"about_ca_topic_score_codex":0.0014665498,"about_ca_topic_score_gemma":0.001441229,"teacher_disagreement_score":0.0070553557,"about_ca_system_score_codex":0.001708758,"about_ca_system_score_gemma":0.00087009376,"threshold_uncertainty_score":0.023602486},"labels":[],"label_agreement":null},{"id":"W2962983448","doi":"10.1016/j.aim.2016.08.015","title":"The Capelli problem for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mrow><mml:mi mathvariant=\"fraktur\">gl</mml:mi></mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">|</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> and the spectrum of invariant differential operators","year":2016,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Scroll; Algorithm; Theology; Philosophy","score_opus":0.01353163502281164,"score_gpt":0.24155482159385408,"score_spread":0.22802318657104245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962983448","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11164445,0.0019936974,0.13351572,0.029923776,0.0012690817,0.0001420363,0.0014845375,0.0006525724,0.7193741],"genre_scores_gemma":[0.71955955,0.0015451703,0.035168406,0.0024777306,0.0010857643,0.00024489555,0.0019811112,0.000795384,0.23714198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987827,0.00019754028,0.000056635385,0.00034110263,0.00029554113,0.0003265099],"domain_scores_gemma":[0.9976204,0.0012847765,0.00020532186,0.0003132986,0.00027181458,0.00030438195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012921916,0.0008419152,0.001040886,0.0020688353,0.0046587503,0.005746164,0.001957464,0.0030125494,0.04899275],"category_scores_gemma":[0.0071508694,0.00055844133,0.0011836834,0.0015808217,0.0044236043,0.009704241,0.0039424193,0.0058020204,0.006399508],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024059003,0.000013166084,0.00011228266,0.000026249314,0.000003041211,0.000052484083,0.00011049055,0.0002710745,0.00011224058,0.98539346,0.010007506,0.0038739918],"study_design_scores_gemma":[0.000016564243,0.00000448725,0.00012575259,0.000023671833,0.0000038845983,0.00008389737,0.000100213685,0.0035073764,0.000289927,0.98586583,0.009968278,0.00001009121],"about_ca_topic_score_codex":0.004251804,"about_ca_topic_score_gemma":0.0032016903,"teacher_disagreement_score":0.04899275,"about_ca_system_score_codex":0.0045982287,"about_ca_system_score_gemma":0.0017951312,"threshold_uncertainty_score":0.1638971},"labels":[],"label_agreement":null},{"id":"W2962995814","doi":"10.1016/j.aim.2017.10.034","title":"Spectral analysis of random-to-random Markov chains","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Markov chain; Eigenvalues and eigenvectors; Random field; Examples of Markov chains; Variable-order Markov model; Markov process; Combinatorics; Pure mathematics; Markov model; Statistics","score_opus":0.016088672479340753,"score_gpt":0.30458676398371987,"score_spread":0.2884980915043791,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962995814","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16091439,0.00064508885,0.82565874,0.0014320714,0.00015496905,0.0000968521,0.00029711254,0.00037358957,0.01042713],"genre_scores_gemma":[0.95113784,0.0008454952,0.038378656,0.00035734105,0.000380458,0.00017418184,0.00043226584,0.0002576638,0.0080361655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998064,0.0009390918,0.000075072436,0.0003077016,0.00038433768,0.00022985884],"domain_scores_gemma":[0.9813114,0.011688575,0.0018823987,0.0014518788,0.00209859,0.0015671956],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038417059,0.0009182727,0.0011134057,0.003192794,0.0011414086,0.0022986105,0.002221384,0.0016586604,0.0076949117],"category_scores_gemma":[0.026081331,0.0007297418,0.0011004306,0.0010615628,0.0036916342,0.004763539,0.002855642,0.0022136823,0.00081953726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000403138,0.000050590832,0.00061337923,0.00004684061,0.00002495661,0.00006464578,0.00011563196,0.03513284,0.0008495854,0.9583467,0.0007598332,0.0039546974],"study_design_scores_gemma":[0.000010717764,0.000018319983,0.0003694079,0.000023909377,0.000009816337,0.000049141687,0.000058334328,0.4606852,0.00031765123,0.53783387,0.0006034978,0.000020121064],"about_ca_topic_score_codex":0.0017128844,"about_ca_topic_score_gemma":0.0012685203,"teacher_disagreement_score":0.0076949117,"about_ca_system_score_codex":0.0018644717,"about_ca_system_score_gemma":0.0011982505,"threshold_uncertainty_score":0.025741994},"labels":[],"label_agreement":null},{"id":"W2963094123","doi":"10.1016/j.aim.2015.09.014","title":"Milnor–Witt K-groups of local rings","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Johns Hopkins University","keywords":"Mathematics; Modulo; Ring (chemistry); Witt vector; Pure mathematics; Witt algebra; Ideal (ethics); Local ring; Group (periodic table); Field (mathematics); Local field; Algebra over a field; Combinatorics; Geometry; Chemistry; Algebra representation","score_opus":0.03213238372326859,"score_gpt":0.3157464009721725,"score_spread":0.2836140172489039,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963094123","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6568683,0.0044000316,0.110036,0.004234258,0.00092423905,0.000106578635,0.0005887968,0.0005541741,0.22228765],"genre_scores_gemma":[0.9593233,0.0009821174,0.00903121,0.00032130833,0.0006715853,0.000049519236,0.00020920996,0.000090933136,0.029320754],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991234,0.00021697514,0.000047722788,0.00023442825,0.00017030444,0.00020717995],"domain_scores_gemma":[0.9987205,0.00031679752,0.00028692884,0.00016536363,0.0001371862,0.00037323867],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011505011,0.0012720883,0.00117153,0.0031414903,0.0026041104,0.0037655511,0.0013951036,0.0010497785,0.009886738],"category_scores_gemma":[0.0018805169,0.000809874,0.00079437793,0.0020704505,0.005634442,0.00852926,0.003721988,0.0029137875,0.0014293281],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005416383,0.000017564662,0.00019477244,0.00002902794,0.0000124297085,0.00006441543,0.00044824302,0.00024526767,0.00059328356,0.9944647,0.00059365033,0.0032825016],"study_design_scores_gemma":[0.00002800231,0.000022911037,0.00039189903,0.000010828437,0.00001756226,0.00010638726,0.00020701606,0.0006536337,0.00047487963,0.99395823,0.0041141286,0.000014446006],"about_ca_topic_score_codex":0.00062403,"about_ca_topic_score_gemma":0.000692747,"teacher_disagreement_score":0.009886738,"about_ca_system_score_codex":0.0014094381,"about_ca_system_score_gemma":0.00059801014,"threshold_uncertainty_score":0.03307444},"labels":[],"label_agreement":null},{"id":"W2963103581","doi":"10.1016/j.aim.2016.10.031","title":"Characteristic varieties of hypersurface complements","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation of Sri Lanka; National Sanitarium Association; China Scholarship Council; National Security Agency; National Science Foundation","keywords":"Hypersurface; Mathematics; Divisibility rule; Hyperplane; Pure mathematics; Combinatorics","score_opus":0.03141000068594155,"score_gpt":0.3198657707653596,"score_spread":0.28845577007941803,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963103581","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6959067,0.0021844546,0.08041521,0.0025159328,0.00042359342,0.000068004,0.0005550611,0.0003114065,0.21761967],"genre_scores_gemma":[0.97786224,0.0007540067,0.004879847,0.00012367773,0.00024190871,0.000032561114,0.0002843366,0.00007175565,0.015749635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923444,0.00013860047,0.000030298093,0.00014413144,0.00030990707,0.00014268258],"domain_scores_gemma":[0.99888736,0.0004066803,0.00015019045,0.00008511907,0.00020037666,0.0002703356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074830744,0.0006068592,0.0008414761,0.0029971846,0.0023183797,0.0053453827,0.00093621586,0.00068918645,0.006738974],"category_scores_gemma":[0.0029877978,0.0005501856,0.00068715046,0.0022906654,0.005979522,0.005424669,0.0032444643,0.0028042067,0.0006513722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028455795,0.000006722991,0.00029636608,0.0000139070125,0.0000050956914,0.000057999296,0.00023765722,0.0003676732,0.0003270281,0.99555403,0.00052071636,0.0025842213],"study_design_scores_gemma":[0.000021844144,0.000010062859,0.0006491217,0.000012727367,0.000012541536,0.0001508349,0.00026065213,0.0016426828,0.00034676227,0.99217564,0.0047040926,0.000013086821],"about_ca_topic_score_codex":0.0028023312,"about_ca_topic_score_gemma":0.0021580718,"teacher_disagreement_score":0.006738974,"about_ca_system_score_codex":0.0025189081,"about_ca_system_score_gemma":0.0010291561,"threshold_uncertainty_score":0.022544086},"labels":[],"label_agreement":null},{"id":"W2963134688","doi":"10.1016/j.aim.2016.05.023","title":"Embedding Riemannian manifolds by the heat kernel of the connection Laplacian","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Air Force Office of Scientific Research; Federal Highway Administration","keywords":"Mathematics; Heat kernel; Connection (principal bundle); Embedding; Laplace operator; Levi-Civita connection; Pure mathematics; Kernel (algebra); Riemannian manifold; Fundamental theorem of Riemannian geometry; Mathematical analysis; Ricci curvature; Geometry; Artificial intelligence","score_opus":0.014705985150336614,"score_gpt":0.29357012492099444,"score_spread":0.2788641397706578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963134688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5964001,0.0031892257,0.3653313,0.0024012616,0.0005562201,0.000057630354,0.00023443381,0.00030353878,0.031526387],"genre_scores_gemma":[0.9636053,0.0014726379,0.019307066,0.00021385404,0.0007302138,0.000032193355,0.00011915866,0.00017672741,0.014342887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996111,0.00012746648,0.000018068888,0.00007313351,0.00012218252,0.000048120328],"domain_scores_gemma":[0.9989569,0.0003181048,0.00021488915,0.000104176055,0.00019564517,0.00021021195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005358239,0.0006237407,0.00067182694,0.002302738,0.00062816555,0.0020955787,0.00060878135,0.0011602622,0.0029567175],"category_scores_gemma":[0.0027888175,0.00037179425,0.00067135715,0.00074781984,0.001995894,0.0033964266,0.002285583,0.0014195768,0.00048362173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027843547,0.000017198892,0.00039077364,0.000039384886,0.000015763473,0.00007165338,0.0003398897,0.0045499317,0.0032774073,0.98420125,0.00079740625,0.0062713865],"study_design_scores_gemma":[0.000009445895,0.00003951243,0.00077699445,0.000012793245,0.00001074863,0.0001272993,0.00010250396,0.057168365,0.0005633456,0.93808347,0.003079555,0.000026098744],"about_ca_topic_score_codex":0.001142209,"about_ca_topic_score_gemma":0.00084791024,"teacher_disagreement_score":0.0029567175,"about_ca_system_score_codex":0.0009097995,"about_ca_system_score_gemma":0.00040382132,"threshold_uncertainty_score":0.009891212},"labels":[],"label_agreement":null},{"id":"W2963143585","doi":"10.1016/j.aim.2011.12.020","title":"Dunkl shift operators and Bannai–Ito polynomials","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":93,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Orthogonal polynomials; Classical orthogonal polynomials; Discrete orthogonal polynomials; Operator (biology); Wilson polynomials; Hahn polynomials; Difference polynomials; Eigenfunction; Polynomial; Diagonal; Pure mathematics; Algebra over a field; Gegenbauer polynomials; Eigenvalues and eigenvectors; Mathematical analysis","score_opus":0.010263986856547903,"score_gpt":0.2748602959670259,"score_spread":0.264596309110478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963143585","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51144344,0.0052079656,0.25188628,0.006179389,0.0027751934,0.000094968054,0.00031164332,0.00055667665,0.22154444],"genre_scores_gemma":[0.8786505,0.002074326,0.025854528,0.0012803265,0.0017379706,0.00007093717,0.00016830578,0.00026024564,0.089902855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949443,0.00012577482,0.00002750012,0.00009025596,0.00015967715,0.000102358885],"domain_scores_gemma":[0.99906033,0.0002516605,0.0001778322,0.00010926749,0.00017058871,0.00023036166],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008759167,0.0009505987,0.00079507544,0.0023464686,0.0018069441,0.0026061363,0.0011307455,0.001495401,0.009452634],"category_scores_gemma":[0.0025225973,0.0004034656,0.0006598806,0.0018341192,0.003001732,0.0051342333,0.002141388,0.00297447,0.0011598443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019027546,0.000013428111,0.000046701753,0.000012704001,0.0000029645535,0.000055407734,0.00010828513,0.00021082083,0.0007037595,0.9952093,0.00044898482,0.003168726],"study_design_scores_gemma":[0.000011952489,0.000012617172,0.00017049206,0.000005639956,0.000003867419,0.00012697304,0.00006227239,0.0030058804,0.00042667182,0.99347913,0.0026776292,0.000016737782],"about_ca_topic_score_codex":0.00095097773,"about_ca_topic_score_gemma":0.0010706813,"teacher_disagreement_score":0.009452634,"about_ca_system_score_codex":0.001161468,"about_ca_system_score_gemma":0.00066090585,"threshold_uncertainty_score":0.03162223},"labels":[],"label_agreement":null},{"id":"W2963202731","doi":"10.1016/j.aim.2014.11.006","title":"On the relative dual of an <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>-gerbe over an orbifold","year":2014,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Orbifold; Mathematics; Cohomology; Corollary; Dual (grammatical number); Pure mathematics; Combinatorics; Philosophy","score_opus":0.01809574383017317,"score_gpt":0.26730720448328316,"score_spread":0.24921146065310998,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963202731","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54336524,0.0025164168,0.085388035,0.0045777382,0.0011340881,0.000078036435,0.0004656277,0.0003179252,0.36215702],"genre_scores_gemma":[0.91842616,0.0011740979,0.009901172,0.0006397629,0.00064127625,0.00005151313,0.00038565882,0.0003247043,0.06845563],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920875,0.00018140722,0.000032208907,0.00018349625,0.00019836077,0.00019590456],"domain_scores_gemma":[0.99945945,0.00011159209,0.00007618473,0.00004587139,0.00013417909,0.00017283391],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009689503,0.0012015954,0.0009995035,0.0035862373,0.003123748,0.003310438,0.0008870469,0.0015017907,0.014599486],"category_scores_gemma":[0.001317476,0.00049241603,0.0006883453,0.0011357594,0.0037275245,0.0060236556,0.004955013,0.003143867,0.0020566862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002977412,0.00001503015,0.00012668304,0.000020303316,0.000006525024,0.00010800686,0.00028943468,0.00021396395,0.0008014781,0.99588984,0.0006476186,0.0018513241],"study_design_scores_gemma":[0.000032971566,0.00006901505,0.0007428391,0.000043296353,0.000017118511,0.00032933214,0.0006367056,0.0024233677,0.0010632965,0.9856514,0.008966752,0.000023952807],"about_ca_topic_score_codex":0.0019641072,"about_ca_topic_score_gemma":0.0017383571,"teacher_disagreement_score":0.014599486,"about_ca_system_score_codex":0.001957872,"about_ca_system_score_gemma":0.00059949927,"threshold_uncertainty_score":0.048840106},"labels":[],"label_agreement":null},{"id":"W2963217502","doi":"10.1016/j.aim.2015.09.002","title":"Enumeration of graphs with a heavy-tailed degree sequence","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Degree (music); Enumeration; Mathematics; Combinatorics; Sequence (biology); Discrete mathematics","score_opus":0.10246463178059065,"score_gpt":0.355229876230806,"score_spread":0.2527652444502153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963217502","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5604358,0.000338103,0.3940329,0.0017427561,0.00020049931,0.00013816125,0.0017812061,0.0006977146,0.040632907],"genre_scores_gemma":[0.81878096,0.0005315051,0.15149596,0.0005946992,0.00018845728,0.00019466128,0.002922651,0.00043077706,0.024860283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99901783,0.0002710752,0.00007234668,0.00020999873,0.0002198817,0.00020889695],"domain_scores_gemma":[0.99214923,0.003753332,0.0006422718,0.0013732855,0.0011573486,0.00092466024],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008879102,0.00072956696,0.00084084604,0.0018816788,0.0017077235,0.0023663896,0.0018400766,0.0013423932,0.00789644],"category_scores_gemma":[0.007818374,0.0007329188,0.00066464144,0.0022193887,0.0013471832,0.003944028,0.0020765825,0.002386123,0.00157937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00052171794,0.00027806146,0.0045627505,0.00033395088,0.000051003757,0.00047810737,0.0008383331,0.022775307,0.019926585,0.8759563,0.010369501,0.06390835],"study_design_scores_gemma":[0.000037874903,0.000046871963,0.00093861076,0.00005760904,0.000029044042,0.00034541398,0.00019698522,0.057548787,0.004534068,0.93090785,0.00533388,0.000023066204],"about_ca_topic_score_codex":0.0006297058,"about_ca_topic_score_gemma":0.0016237576,"teacher_disagreement_score":0.00789644,"about_ca_system_score_codex":0.0007743565,"about_ca_system_score_gemma":0.0009607949,"threshold_uncertainty_score":0.026416242},"labels":[],"label_agreement":null},{"id":"W2963247403","doi":"10.1016/j.aim.2018.09.028","title":"Kähler–Ricci flow of cusp singularities on quasi projective varieties","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Bounded function; Ricci flow; Ricci curvature; Gravitational singularity; Zero (linguistics); Divisor (algebraic geometry); Type (biology); Combinatorics; Manifold (fluid mechanics); Curvature; Mathematical analysis; Pure mathematics; Geometry","score_opus":0.04003575040410136,"score_gpt":0.3366510098315271,"score_spread":0.2966152594274258,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963247403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87031764,0.0016580009,0.046227295,0.0024832045,0.00062934577,0.000086470325,0.0002635279,0.00037796897,0.07795645],"genre_scores_gemma":[0.9740199,0.0005305104,0.0049845106,0.00018688974,0.00046649214,0.000026244452,0.00021493918,0.00012086501,0.01944957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994235,0.00014165924,0.000030425159,0.000118364565,0.00016282457,0.00012326175],"domain_scores_gemma":[0.9989002,0.00019433335,0.00019734602,0.00008997438,0.00018369094,0.0004344309],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010655782,0.0016702708,0.0011042036,0.0052541536,0.002487049,0.0037745386,0.0013294428,0.0016163645,0.0074672415],"category_scores_gemma":[0.0030713012,0.0007347629,0.0008073524,0.0015386473,0.00346464,0.00493095,0.0025742438,0.0022931723,0.00071872707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008456456,0.00005115271,0.00069014553,0.000045391498,0.000016653656,0.00027790765,0.00052930135,0.0015471319,0.0015656432,0.99059486,0.0011012686,0.0034959915],"study_design_scores_gemma":[0.000044775883,0.00006066352,0.0017883447,0.000026690737,0.000021152506,0.0003107698,0.0003005599,0.012124948,0.0005037196,0.98237485,0.002411318,0.000032217813],"about_ca_topic_score_codex":0.0025060342,"about_ca_topic_score_gemma":0.0019061465,"teacher_disagreement_score":0.0074672415,"about_ca_system_score_codex":0.002431003,"about_ca_system_score_gemma":0.0008992879,"threshold_uncertainty_score":0.024980426},"labels":[],"label_agreement":null},{"id":"W2963264123","doi":"10.1016/j.aim.2017.10.031","title":"Green tensor of the Stokes system and asymptotics of stationary Navier–Stokes flows in the half space","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; National Research Foundation of Korea","keywords":"Mathematics; Navier–Stokes equations; Space (punctuation); Tensor (intrinsic definition); Compressibility; Mathematical analysis; Rotational symmetry; Stokes flow; Half-space; Stokes number; Geometry; Flow (mathematics); Mechanics; Physics; Reynolds number; Turbulence","score_opus":0.04162849848763997,"score_gpt":0.3421866430211784,"score_spread":0.30055814453353846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963264123","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5140999,0.009634218,0.33245414,0.0110594,0.0026807808,0.00016463388,0.000735899,0.0005858577,0.1285851],"genre_scores_gemma":[0.8981828,0.0045955908,0.030622974,0.0010582658,0.0023476267,0.00009999322,0.0006320954,0.000413574,0.06204696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999526,0.00017824593,0.000026203965,0.00008001821,0.00012434888,0.00006507674],"domain_scores_gemma":[0.9981206,0.0004743697,0.00029589777,0.000103804334,0.00054680835,0.00045842348],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012547947,0.0012711479,0.00096480217,0.004387437,0.0013625382,0.0031728756,0.0012285238,0.0016218864,0.0054805633],"category_scores_gemma":[0.0042269547,0.00045195856,0.0008656819,0.0013090252,0.0041398164,0.0057461453,0.0024542885,0.0027746414,0.0007665009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024818844,0.000030971176,0.0002011463,0.000037076836,0.000009790198,0.000058414444,0.00015976482,0.0022581252,0.0016503215,0.9910589,0.0011346387,0.0033760068],"study_design_scores_gemma":[0.000011548878,0.000025098896,0.0005219038,0.000022549435,0.000008514,0.00013682984,0.00013767186,0.039811812,0.00040825288,0.9565638,0.002325606,0.00002637928],"about_ca_topic_score_codex":0.0027909216,"about_ca_topic_score_gemma":0.0015567829,"teacher_disagreement_score":0.0054805633,"about_ca_system_score_codex":0.0018560129,"about_ca_system_score_gemma":0.0016902697,"threshold_uncertainty_score":0.01833427},"labels":[],"label_agreement":null},{"id":"W2963278126","doi":"10.1016/j.aim.2018.03.034","title":"Categorified skew Howe duality and comparison of knot homologies","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Fundação para a Ciência e a Tecnologia; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Categorification; Knot (papermaking); Functor; Pure mathematics; Tensor product; Diagrammatic reasoning; Knot invariant; Homology (biology); Hochschild homology; Algebra over a field; Khovanov homology; Isomorphism (crystallography); Knot theory; Computer science","score_opus":0.05479620229126788,"score_gpt":0.3887868145863494,"score_spread":0.33399061229508153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963278126","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.703293,0.0015989234,0.11763003,0.0014340382,0.00037633377,0.000059327715,0.00046782728,0.00031235337,0.17482807],"genre_scores_gemma":[0.9802592,0.0005134542,0.007496432,0.00016815345,0.00014142894,0.0000318752,0.0003159345,0.00009835739,0.010975287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991129,0.00023714728,0.000053316,0.00019625397,0.00020668264,0.00019371169],"domain_scores_gemma":[0.9984836,0.0005503051,0.00022607514,0.00023145687,0.00031845114,0.00019024694],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013169535,0.00042811682,0.00078424695,0.004328032,0.0019462364,0.0043397704,0.0010717384,0.0010919336,0.011622104],"category_scores_gemma":[0.004043019,0.00029996876,0.0006430942,0.002542857,0.003335615,0.009433144,0.0035375096,0.00193095,0.00070093456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028165448,0.000008546383,0.00035252285,0.0000172563,0.0000054759894,0.000035894802,0.00032309484,0.00025946076,0.00034009776,0.99428636,0.00032072084,0.0040223664],"study_design_scores_gemma":[0.0000072204552,0.000012718035,0.00057491026,0.000013052493,0.000009269118,0.00009700413,0.0003602936,0.0009260941,0.00035288295,0.994504,0.0031330988,0.000009497329],"about_ca_topic_score_codex":0.0007588154,"about_ca_topic_score_gemma":0.0005347719,"teacher_disagreement_score":0.011622104,"about_ca_system_score_codex":0.001234019,"about_ca_system_score_gemma":0.00041166614,"threshold_uncertainty_score":0.03887981},"labels":[],"label_agreement":null},{"id":"W2963282310","doi":"10.1016/j.aim.2009.09.001","title":"A groupoid approach to discrete inverse semigroup algebras","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":184,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Inverse semigroup; Inverse element; Bicyclic semigroup; Semigroup; Cancellative semigroup; Pure mathematics; Duality (order theory); Inverse; Algebra over a field; Convolution (computer science); Idempotence; Special classes of semigroups","score_opus":0.00977277697568894,"score_gpt":0.25581891978628796,"score_spread":0.24604614281059903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963282310","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.034162592,0.004952486,0.8408087,0.005631753,0.0014996118,0.00007116317,0.00019753944,0.00025016587,0.112426005],"genre_scores_gemma":[0.6272911,0.005252171,0.28908607,0.0022514309,0.003245378,0.00026212886,0.00037713523,0.00022009748,0.07201446],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993826,0.00021262349,0.000038861304,0.00012729767,0.00017942897,0.00005917848],"domain_scores_gemma":[0.99934703,0.00029746487,0.00003288451,0.00010086055,0.00013169118,0.00009012715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010254668,0.0007220216,0.00092889444,0.0017932499,0.0015844845,0.0030213988,0.0012950018,0.0013057304,0.00668837],"category_scores_gemma":[0.0017691279,0.0004335354,0.0013304421,0.0017091956,0.005456045,0.0070095584,0.0021026954,0.004702095,0.0010459586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000031639306,0.000004602781,0.000011422898,0.0000075229354,0.000001365752,0.000014192118,0.000104884864,0.00017398375,0.00013916829,0.99802303,0.00025986249,0.0012567365],"study_design_scores_gemma":[0.000004299981,0.0000073162932,0.000015073085,0.000004848686,0.0000021561966,0.000022096265,0.000030356185,0.0011500029,0.00008232173,0.9939628,0.0047150385,0.0000037587063],"about_ca_topic_score_codex":0.0013808504,"about_ca_topic_score_gemma":0.0011238653,"teacher_disagreement_score":0.00668837,"about_ca_system_score_codex":0.0018633885,"about_ca_system_score_gemma":0.0008880227,"threshold_uncertainty_score":0.022374809},"labels":[],"label_agreement":null},{"id":"W2963300267","doi":"10.1016/j.aim.2017.09.041","title":"Xiao's conjecture on canonically fibered surfaces","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Fibered knot; Mathematics; Conjecture; Genus; Pure mathematics; Surface (topology); Combinatorics; Geometry; Botany","score_opus":0.028370090092470386,"score_gpt":0.33923084184400065,"score_spread":0.3108607517515303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963300267","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5072889,0.0018409053,0.07311136,0.019007148,0.002707889,0.000073758216,0.0006108153,0.0006706294,0.39468873],"genre_scores_gemma":[0.92659426,0.0009434041,0.009323909,0.0013000794,0.0009391948,0.000060921928,0.0004807618,0.00014852895,0.060208958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991498,0.00011320358,0.00003697132,0.00024643188,0.00021132761,0.00024235163],"domain_scores_gemma":[0.99894136,0.00037925493,0.00009550707,0.00021756855,0.0002155576,0.00015075796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010344076,0.00073717354,0.0010221842,0.0014996007,0.0029604689,0.0026295695,0.0010025745,0.0018228836,0.01190551],"category_scores_gemma":[0.0031813823,0.0006807996,0.0008794478,0.0012827659,0.0037127396,0.009521253,0.004032319,0.0038773555,0.0011672082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004481019,0.000012783552,0.0003339891,0.000024737243,0.0000047142116,0.00007358994,0.00020316838,0.00043822895,0.00026359403,0.9919625,0.0029855773,0.0036523729],"study_design_scores_gemma":[0.000016371047,0.000010668499,0.00047357715,0.00001235907,0.000007578068,0.00009827538,0.00013087156,0.0013240222,0.00043866615,0.98961776,0.007860517,0.000009270412],"about_ca_topic_score_codex":0.0013631826,"about_ca_topic_score_gemma":0.000850423,"teacher_disagreement_score":0.01190551,"about_ca_system_score_codex":0.0014211148,"about_ca_system_score_gemma":0.0006818462,"threshold_uncertainty_score":0.039827943},"labels":[],"label_agreement":null},{"id":"W2963406834","doi":"10.1016/j.aim.2015.01.013","title":"Rational points near planar curves and Diophantine approximation","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Diophantine approximation; Planar; Lebesgue integration; Divergence (linguistics); Diophantine equation; Degenerate energy levels; Lebesgue measure; Pure mathematics; Mathematical analysis","score_opus":0.038072844833826475,"score_gpt":0.3262411703659628,"score_spread":0.28816832553213634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963406834","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60772866,0.0071846177,0.15678045,0.006525531,0.0008911525,0.000086778724,0.00050833897,0.00039576495,0.21989869],"genre_scores_gemma":[0.95600116,0.0019338889,0.0152105335,0.00033199368,0.00044871843,0.000044900968,0.00023930302,0.0000862989,0.02570322],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994593,0.00012397778,0.000024448738,0.00009875758,0.00019431328,0.00009915687],"domain_scores_gemma":[0.9992494,0.00035145003,0.00010990892,0.00009588959,0.000106015264,0.00008732429],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006318637,0.0009631834,0.0012633523,0.0023957072,0.0018008959,0.0027180768,0.0013657791,0.001811134,0.0056633633],"category_scores_gemma":[0.0040274025,0.0005202157,0.0006654394,0.0017042462,0.0034272529,0.0038410309,0.0026228663,0.0042012683,0.0009987667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000271543,0.000009048442,0.000082772785,0.000022152824,0.000004854227,0.00004527208,0.00013430865,0.001966723,0.00037536136,0.99468035,0.00048243816,0.0021695844],"study_design_scores_gemma":[0.000016590975,0.000009491647,0.0001264812,0.000008632843,0.0000051756942,0.000086506494,0.00007376535,0.0057921624,0.00018324378,0.9915855,0.00210357,0.0000089426185],"about_ca_topic_score_codex":0.0016044497,"about_ca_topic_score_gemma":0.00072900363,"teacher_disagreement_score":0.0056633633,"about_ca_system_score_codex":0.0020462049,"about_ca_system_score_gemma":0.00051199406,"threshold_uncertainty_score":0.018945873},"labels":[],"label_agreement":null},{"id":"W2963489896","doi":"10.1016/j.aim.2019.03.017","title":"A sharp effectiveness result of Demailly's strong openness conjecture","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China; Centre de Recherches Mathématiques","keywords":"Openness to experience; Conjecture; Mathematics; Pure mathematics; Combinatorics; Mathematical economics; Social psychology; Psychology","score_opus":0.015555837660133956,"score_gpt":0.3152733225280089,"score_spread":0.2997174848678749,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963489896","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10935473,0.0066894307,0.14907902,0.04728118,0.0026340734,0.000098802666,0.0010522491,0.00082864333,0.6829818],"genre_scores_gemma":[0.93653506,0.0023649724,0.016212966,0.003995949,0.0018361881,0.00013830414,0.0005394544,0.00027304396,0.038104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997449,0.00066653313,0.00008258596,0.0006251529,0.0006958658,0.00048088128],"domain_scores_gemma":[0.99110913,0.005967768,0.0003841719,0.0010182809,0.00077977206,0.00074084057],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027299917,0.0009819991,0.0015518485,0.0021519822,0.002981268,0.0044335187,0.0018867248,0.0022565823,0.015058088],"category_scores_gemma":[0.012889786,0.0006792998,0.0015772007,0.0015590162,0.008165315,0.014928225,0.008601504,0.006520859,0.0020096535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006763238,0.000015999029,0.00020536411,0.00007243147,0.000010539163,0.000045136956,0.00012942139,0.00046144222,0.0003425784,0.9906764,0.004299218,0.0036739015],"study_design_scores_gemma":[0.000025278901,0.000011199465,0.00016656777,0.00002127625,0.000012047606,0.00006456756,0.000057484573,0.0014451338,0.00030461437,0.9902596,0.0076239277,0.000008218324],"about_ca_topic_score_codex":0.0010907062,"about_ca_topic_score_gemma":0.0006260528,"teacher_disagreement_score":0.015058088,"about_ca_system_score_codex":0.0020947063,"about_ca_system_score_gemma":0.00088462874,"threshold_uncertainty_score":0.05037439},"labels":[],"label_agreement":null},{"id":"W2963555687","doi":"10.1016/j.aim.2019.03.021","title":"Convex polytopes for the central degeneration of the affine Grassmannian","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Mathematics; Polytope; Affine transformation; Grassmannian; Pure mathematics; Algebraic geometry; Regular polygon; Combinatorics; Degeneration (medical); Affine variety; Geometry","score_opus":0.0169741286165895,"score_gpt":0.30260937477112154,"score_spread":0.28563524615453206,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963555687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52327204,0.0015901398,0.26368332,0.0016803498,0.00073119433,0.00026496378,0.0012592768,0.00029469706,0.20722401],"genre_scores_gemma":[0.9138266,0.0011737227,0.028828776,0.00033653382,0.00057010975,0.0001849783,0.0009679815,0.00021951848,0.05389178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993942,0.00011722147,0.00002555109,0.00012630198,0.00020810653,0.00012865619],"domain_scores_gemma":[0.99918896,0.00016600131,0.00015402443,0.00006138377,0.00014550747,0.00028412192],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006851214,0.0010278157,0.00090253475,0.0031866569,0.00223084,0.0037463834,0.001217771,0.0007692365,0.01527703],"category_scores_gemma":[0.0014268617,0.00045487448,0.00095073855,0.0009647208,0.0038047347,0.0028829228,0.0022044007,0.0031954388,0.002286479],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023912562,0.000014209861,0.00008161971,0.000016020913,0.000006997257,0.000051580737,0.000077914454,0.0010282734,0.00067186035,0.99543,0.0007151708,0.0018822718],"study_design_scores_gemma":[0.00003542059,0.000055301512,0.00074602815,0.000024704033,0.0000136374,0.00014837469,0.00019708746,0.012815949,0.000904767,0.9780146,0.0070208367,0.000023349661],"about_ca_topic_score_codex":0.0020455956,"about_ca_topic_score_gemma":0.0017809422,"teacher_disagreement_score":0.01527703,"about_ca_system_score_codex":0.0020477967,"about_ca_system_score_gemma":0.0007894281,"threshold_uncertainty_score":0.05110675},"labels":[],"label_agreement":null},{"id":"W2963571572","doi":"10.1016/j.aim.2009.08.013","title":"An automaton-theoretic approach to the representation theory of quantum algebras","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Torus; Invariant (physics); Semigroup; Pure mathematics; Discrete mathematics; Representation theory; Invariant theory; Algebraic number; Quantum; Algebra over a field; Quantum mechanics; Mathematical physics","score_opus":0.015042188280655398,"score_gpt":0.2922200621754028,"score_spread":0.2771778738947474,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963571572","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.038174037,0.0032177782,0.8870331,0.0059125605,0.0008892745,0.000067269866,0.00027775866,0.0003164625,0.06411177],"genre_scores_gemma":[0.78113675,0.0033336903,0.18677397,0.0016203186,0.0019027583,0.00023932225,0.00035261258,0.00018817413,0.024452325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989611,0.00038108573,0.00007378854,0.0001587696,0.00030689393,0.00011827122],"domain_scores_gemma":[0.99860865,0.00076847535,0.000073617324,0.00021974636,0.00022101136,0.00010856241],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015173755,0.0006413981,0.0010726025,0.0014704101,0.0018922276,0.0040044105,0.0024836503,0.00192259,0.0063961106],"category_scores_gemma":[0.002866161,0.0005436419,0.00215437,0.0015621003,0.004832729,0.007880139,0.0025977262,0.004052723,0.0009213998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000027278593,0.000005467821,0.0000139174235,0.000008475432,0.0000020742407,0.000011636873,0.00006307397,0.0005344922,0.00013850551,0.99815375,0.00018963912,0.0008761911],"study_design_scores_gemma":[0.000003268934,0.0000051966313,0.000011733406,0.0000048196853,0.0000021752132,0.000010428514,0.000013652941,0.004539373,0.000066325774,0.9941859,0.0011528924,0.000004205151],"about_ca_topic_score_codex":0.0014648814,"about_ca_topic_score_gemma":0.0011946765,"teacher_disagreement_score":0.0063961106,"about_ca_system_score_codex":0.0018851463,"about_ca_system_score_gemma":0.0015121044,"threshold_uncertainty_score":0.021397114},"labels":[],"label_agreement":null},{"id":"W2963587665","doi":"10.1016/j.aim.2016.11.026","title":"Wasserstein barycenters over Riemannian manifolds","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":63,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Mathematics; Riemannian manifold; Pure mathematics; Manifold (fluid mechanics); Euclidean space; Statistical manifold; Probability measure; Metric (unit); Space (punctuation); Minkowski space; Pseudo-Riemannian manifold; Mathematical analysis; Information geometry; Ricci curvature; Geometry","score_opus":0.01658386076980217,"score_gpt":0.299170996194778,"score_spread":0.2825871354249758,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963587665","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4952289,0.004968846,0.43517458,0.0037588833,0.0006065289,0.000053955548,0.00048642035,0.0007239801,0.05899784],"genre_scores_gemma":[0.9365828,0.0031145208,0.03223643,0.0005107819,0.0011143158,0.00007063388,0.00046039955,0.0004234898,0.025486667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927,0.0001895988,0.000039738803,0.00016950398,0.00024048012,0.00009058715],"domain_scores_gemma":[0.99745446,0.0006928375,0.00063641125,0.0002141095,0.0003688236,0.00063332584],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014835924,0.0012614693,0.0011286164,0.0048853685,0.0013548397,0.0032551808,0.001547153,0.0016520481,0.0059416806],"category_scores_gemma":[0.0053772563,0.00070000964,0.00058871816,0.002174634,0.003740742,0.0065025412,0.003310981,0.0027834373,0.0008353955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009124102,0.000006569626,0.00013716477,0.000014383141,0.0000031398788,0.000015029737,0.00007898878,0.0008870984,0.00036928643,0.9951637,0.00041271557,0.0029028212],"study_design_scores_gemma":[0.0000040589325,0.000010413951,0.00025530515,0.0000076292176,0.0000035756811,0.000031407188,0.000030617706,0.0067223716,0.00016460287,0.9913292,0.0014313061,0.000009404489],"about_ca_topic_score_codex":0.0014124836,"about_ca_topic_score_gemma":0.0014180588,"teacher_disagreement_score":0.0059416806,"about_ca_system_score_codex":0.0018064479,"about_ca_system_score_gemma":0.00065944646,"threshold_uncertainty_score":0.019876957},"labels":[],"label_agreement":null},{"id":"W2963611003","doi":"10.1016/j.aim.2011.01.011","title":"The geometry of p-convex intersection bodies","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Intersection (aeronautics); Convex geometry; Geometry; Regular polygon; Mixed volume; Convex body; Integral geometry; Convex analysis; Convex hull; Convex optimization","score_opus":0.0621227847863921,"score_gpt":0.32675140444648865,"score_spread":0.26462861966009654,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963611003","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2857147,0.0020608264,0.52397823,0.003475596,0.00025654372,0.00009559379,0.00082972855,0.00018891558,0.18339987],"genre_scores_gemma":[0.92127776,0.0015886652,0.04853447,0.00034414878,0.00032421888,0.00012345327,0.00080064737,0.00011764545,0.026889127],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99873275,0.0002831949,0.00006554372,0.0002600783,0.0004915258,0.00016692445],"domain_scores_gemma":[0.998089,0.00078290136,0.00033859373,0.00014458319,0.00042644457,0.00021847364],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009343962,0.00066679856,0.00085840275,0.0027067324,0.0023656737,0.004880139,0.0019682755,0.001265323,0.007254132],"category_scores_gemma":[0.0039097266,0.0007772542,0.0010259383,0.002310473,0.0057682293,0.0072269724,0.0041160583,0.0040173274,0.0010147169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014084176,0.0000042250795,0.000106517786,0.0000119748765,0.0000039129145,0.000027837592,0.000115583716,0.0011631205,0.00019437766,0.9955498,0.00038310216,0.0024253349],"study_design_scores_gemma":[0.000009151723,0.00001591063,0.00027343803,0.000010869392,0.000006206591,0.00008075047,0.00017876874,0.0073754913,0.00043447493,0.98783886,0.0037669498,0.000009135992],"about_ca_topic_score_codex":0.0029324063,"about_ca_topic_score_gemma":0.0014037973,"teacher_disagreement_score":0.007254132,"about_ca_system_score_codex":0.0018883016,"about_ca_system_score_gemma":0.0008168467,"threshold_uncertainty_score":0.024267435},"labels":[],"label_agreement":null},{"id":"W2963638331","doi":"10.1016/j.aim.2017.03.026","title":"Geometric representations of the formal affine Hecke algebra","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Formal group; Mathematics; Pure mathematics; Algebra over a field; Cohomology; Affine transformation; Hecke algebra","score_opus":0.032173572009898704,"score_gpt":0.35921671694070945,"score_spread":0.32704314493081077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963638331","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54009426,0.0021277047,0.17192177,0.0038992339,0.00089995307,0.00010222167,0.00065204105,0.00085370505,0.27944916],"genre_scores_gemma":[0.9425757,0.0007243133,0.011784212,0.00037697214,0.0007400653,0.000037121798,0.0003884518,0.0001294091,0.043243732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939334,0.00011546831,0.000026466185,0.000098909215,0.00022425035,0.00014159286],"domain_scores_gemma":[0.999521,0.00007412028,0.00010704993,0.0000848933,0.00010137594,0.00011163388],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063232455,0.00081482384,0.0007688254,0.0023583097,0.0015668052,0.0034658848,0.0011889281,0.001053621,0.0140095735],"category_scores_gemma":[0.0014658804,0.00036054192,0.0006829704,0.0016053368,0.0029880635,0.004649173,0.0019527773,0.0021297613,0.0020682141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010879521,0.000013537201,0.00006691556,0.000009236061,0.0000025961128,0.000026438207,0.00009422273,0.00041268088,0.00037249838,0.99580765,0.00042564818,0.0027577453],"study_design_scores_gemma":[0.000012463612,0.000015818265,0.00017906202,0.0000052203054,0.0000036354743,0.00008308104,0.00008600326,0.0019364315,0.00025544508,0.994682,0.0027293533,0.00001148066],"about_ca_topic_score_codex":0.0009522843,"about_ca_topic_score_gemma":0.0006948009,"teacher_disagreement_score":0.0140095735,"about_ca_system_score_codex":0.0011299875,"about_ca_system_score_gemma":0.00065642066,"threshold_uncertainty_score":0.046866655},"labels":[],"label_agreement":null},{"id":"W2963702746","doi":"10.1016/j.aim.2017.07.023","title":"Representations of étale groupoids on L-spaces","year":2017,"lang":"fr","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation of Sri Lanka; Deutsche Forschungsgemeinschaft; York University; Alexander von Humboldt-Stiftung; National Science Foundation","keywords":"Mathematics; Inverse semigroup; Pure mathematics; Regular representation; Hilbert space; Semigroup; Nest algebra; Discrete mathematics; Group (periodic table); Algebra over a field; Algebra representation; Non-associative algebra","score_opus":0.05230959702350562,"score_gpt":0.4277441312269674,"score_spread":0.3754345342034618,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963702746","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6086354,0.0016365139,0.23417702,0.0045191003,0.0011608567,0.00012660261,0.00049914443,0.0007230436,0.14852226],"genre_scores_gemma":[0.9403455,0.0006322323,0.02073703,0.0006702753,0.0007519926,0.000095899806,0.00028658094,0.0002019189,0.0362786],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884546,0.00029252723,0.00006216544,0.00020246583,0.00029753312,0.0002998547],"domain_scores_gemma":[0.9984291,0.00039161264,0.00028730862,0.00021488071,0.00021370949,0.00046325877],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012359775,0.001202894,0.0010583336,0.0028382475,0.0021355993,0.006075293,0.0014511669,0.0019165785,0.010494537],"category_scores_gemma":[0.0025129786,0.0005939145,0.0012632494,0.001831851,0.004434045,0.006271932,0.0037182854,0.0031651272,0.0015495141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026063963,0.000016409922,0.000079774436,0.000013110483,0.0000055947125,0.000051033825,0.0003979933,0.00025622576,0.00062767864,0.9959651,0.0003841554,0.0021767966],"study_design_scores_gemma":[0.000021962012,0.000018847444,0.00011044621,0.000009839965,0.000004066762,0.000057980513,0.0001694464,0.0014574856,0.0002961286,0.99613756,0.0017031536,0.000013079918],"about_ca_topic_score_codex":0.0012039348,"about_ca_topic_score_gemma":0.0009959498,"teacher_disagreement_score":0.010494537,"about_ca_system_score_codex":0.0019612527,"about_ca_system_score_gemma":0.0007487015,"threshold_uncertainty_score":0.035107672},"labels":[],"label_agreement":null},{"id":"W2963703593","doi":"10.1016/j.aim.2011.02.005","title":"Isomonodromic tau function on the space of admissible covers","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Compactification (mathematics); Pure mathematics; Ramanujan tau function; Divisor (algebraic geometry); Space (punctuation); Mathematical analysis; Function space","score_opus":0.04251504254563245,"score_gpt":0.2859945082787496,"score_spread":0.24347946573311716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963703593","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7869297,0.0017988989,0.07526733,0.0017663138,0.0003883658,0.000029532268,0.0003266321,0.00022409971,0.13326904],"genre_scores_gemma":[0.98285264,0.00065891794,0.0034612743,0.00013955089,0.00045193106,0.000027164471,0.0002340776,0.00004830225,0.012126121],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993086,0.00013699273,0.000034346216,0.00013569767,0.00020512652,0.00017931253],"domain_scores_gemma":[0.998792,0.0003663171,0.00018841657,0.00011445636,0.0002338542,0.0003050607],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000853556,0.0008430363,0.00086765277,0.0039437357,0.0022006584,0.0039425953,0.00073164486,0.0009475856,0.0047536227],"category_scores_gemma":[0.0017972899,0.0003499056,0.00066638284,0.0018112495,0.002771548,0.0051401574,0.0018887934,0.0021728913,0.0005458333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027562983,0.0000122024085,0.0002221338,0.000014383286,0.0000050713516,0.0000849565,0.00014261986,0.00026409727,0.00061228214,0.9959,0.00030023852,0.0024143034],"study_design_scores_gemma":[0.000012922249,0.000027701182,0.0005625497,0.000015048912,0.000010022002,0.00027464872,0.00019873612,0.0025879866,0.0006747945,0.99316216,0.0024609868,0.000012458591],"about_ca_topic_score_codex":0.0006089818,"about_ca_topic_score_gemma":0.00038410016,"teacher_disagreement_score":0.0047536227,"about_ca_system_score_codex":0.0015467714,"about_ca_system_score_gemma":0.00056470215,"threshold_uncertainty_score":0.01590246},"labels":[],"label_agreement":null},{"id":"W2963781951","doi":"10.1016/j.aim.2017.05.020","title":"Inverse anisotropic mean curvature flow and a Minkowski type inequality","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; Natural Science Foundation of Fujian Province; National Natural Science Foundation of China; McGill University","keywords":"Mathematics; Mean curvature flow; Hypersurface; Mean curvature; Mathematical analysis; Inverse; Minkowski space; Regular polygon; Type (biology); Flow (mathematics); Curvature; Pure mathematics; Geometry","score_opus":0.04329553482144161,"score_gpt":0.34230862658444067,"score_spread":0.29901309176299906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963781951","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41195485,0.0052423673,0.33203745,0.016987976,0.0010710458,0.00005830902,0.0005110448,0.0003004998,0.23183642],"genre_scores_gemma":[0.9294986,0.0017097356,0.033316117,0.001309614,0.0011980789,0.00006537537,0.00023073443,0.00018710265,0.032484587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909806,0.00028707017,0.00004044643,0.00017008085,0.00028567133,0.00011858132],"domain_scores_gemma":[0.9965197,0.001522769,0.00053147,0.00032730002,0.00055619515,0.00054260826],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001927905,0.0010629533,0.0010400425,0.0028379369,0.001486289,0.0028719476,0.0012490442,0.0019932617,0.006436803],"category_scores_gemma":[0.0063588717,0.00058612175,0.0010521605,0.0010804521,0.003621887,0.0074758492,0.003425615,0.0047031287,0.00057096756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018004037,0.000006959429,0.00015147183,0.000018311102,0.0000046680684,0.000055121884,0.00006281306,0.00050991785,0.00065120327,0.99676263,0.0005267058,0.0012321462],"study_design_scores_gemma":[0.000009352044,0.000016405711,0.0006674369,0.00001146126,0.000010322421,0.00026196844,0.00004322721,0.010700245,0.00042129858,0.9853601,0.0024817819,0.000016392465],"about_ca_topic_score_codex":0.0011779402,"about_ca_topic_score_gemma":0.0009571102,"teacher_disagreement_score":0.006436803,"about_ca_system_score_codex":0.0016358481,"about_ca_system_score_gemma":0.0005775994,"threshold_uncertainty_score":0.02153325},"labels":[],"label_agreement":null},{"id":"W2963795315","doi":"10.1016/j.aim.2019.05.001","title":"A structure theorem for semi-parabolic Hénon maps","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Julia set; Mathematics; Fixed point; Mathematical analysis; Equivalence relation; Polynomial; Pure mathematics; Discrete mathematics","score_opus":0.01267986230404684,"score_gpt":0.31230010207635595,"score_spread":0.2996202397723091,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963795315","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3426986,0.002929772,0.3759892,0.006417426,0.0012297122,0.000113497634,0.0005577638,0.00039718428,0.26966685],"genre_scores_gemma":[0.9000241,0.0015016559,0.026070775,0.0010869129,0.0010559822,0.00009495265,0.0003697714,0.00016379097,0.06963212],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974877,0.00004321291,0.000010562858,0.00006195692,0.00009245113,0.000043029213],"domain_scores_gemma":[0.99927956,0.00025364157,0.00007655445,0.000062854495,0.00018596638,0.00014139591],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006135289,0.00061898824,0.00050574617,0.0016606933,0.001566577,0.0016696547,0.00067009724,0.0010797663,0.005943661],"category_scores_gemma":[0.0015625734,0.00033445167,0.0007370014,0.00074694486,0.0019932704,0.003586326,0.0026440397,0.0022738024,0.000825796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012622883,0.000008788759,0.00008933964,0.000018853763,0.000004845396,0.000043192023,0.00016381379,0.0003403316,0.0010127549,0.99507743,0.00081809744,0.0024098891],"study_design_scores_gemma":[0.000012487842,0.000024248402,0.00030257637,0.000009255756,0.0000060057196,0.00012385292,0.00008586474,0.0048790923,0.0006448966,0.9879721,0.005929921,0.000009691949],"about_ca_topic_score_codex":0.00097266864,"about_ca_topic_score_gemma":0.0004782715,"teacher_disagreement_score":0.005943661,"about_ca_system_score_codex":0.0011837644,"about_ca_system_score_gemma":0.00048162608,"threshold_uncertainty_score":0.019883513},"labels":[],"label_agreement":null},{"id":"W2963795428","doi":"10.1016/j.aim.2015.11.015","title":"Dynamical anomalous subvarieties: Structure and bounded height theorems","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Subvariety; Mathematics; Locus (genetics); Codimension; Bounded function; Combinatorics; Degree (music); Polynomial; Complete intersection; Dimension (graph theory); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.022940764808475327,"score_gpt":0.30803489819907,"score_spread":0.28509413339059464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963795428","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7159906,0.0011904462,0.22011565,0.0023576377,0.0002648123,0.000048690246,0.00030004588,0.00029337543,0.059438713],"genre_scores_gemma":[0.98301226,0.00049764133,0.007359216,0.00015753706,0.00021294485,0.000029750838,0.00019351902,0.000057479236,0.008479647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995116,0.00008329873,0.00002185749,0.000090689966,0.00016983836,0.00012283065],"domain_scores_gemma":[0.99829215,0.00069286505,0.00024018041,0.0001727172,0.00019613163,0.00040594023],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072732434,0.0007105915,0.00073406653,0.0022343306,0.0014749392,0.0026435002,0.00093688426,0.000759865,0.004433673],"category_scores_gemma":[0.0030513564,0.00038492732,0.00085137086,0.0011507312,0.0036172953,0.0047570914,0.0034867248,0.002943633,0.00034156602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013974246,0.0000093467415,0.00021454884,0.00001007424,0.000005012033,0.000044278877,0.00012427522,0.0006801767,0.0006008254,0.99656194,0.0002469583,0.0014885213],"study_design_scores_gemma":[0.00001549979,0.000014308616,0.00035844845,0.0000059676036,0.000008208085,0.000102080616,0.000097782024,0.009942128,0.0004965,0.9879004,0.001049564,0.000009232127],"about_ca_topic_score_codex":0.0010928166,"about_ca_topic_score_gemma":0.0006118868,"teacher_disagreement_score":0.004433673,"about_ca_system_score_codex":0.0011644363,"about_ca_system_score_gemma":0.00054702547,"threshold_uncertainty_score":0.014832079},"labels":[],"label_agreement":null},{"id":"W2963823192","doi":"10.1016/j.aim.2018.11.020","title":"On the regularity of Hamiltonian stationary Lagrangian submanifolds","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Lagrangian; Hamiltonian (control theory); Pure mathematics; Mathematical analysis; Mathematical optimization","score_opus":0.023877445108734126,"score_gpt":0.30751719012059114,"score_spread":0.283639745011857,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963823192","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89170533,0.0015275236,0.07152166,0.004047458,0.00030906656,0.00004374657,0.00030234817,0.00011511186,0.030427746],"genre_scores_gemma":[0.9785477,0.0007763508,0.0073154354,0.00025175474,0.00037493784,0.000032224787,0.00035073407,0.000085595624,0.012265329],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963546,0.00012740458,0.00001862466,0.00006374164,0.0000804948,0.000074363415],"domain_scores_gemma":[0.99748296,0.0009787099,0.00044445615,0.00017489614,0.0003402749,0.0005786274],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010278774,0.0007126229,0.0008920468,0.002738387,0.0011281526,0.0016091388,0.0010993247,0.0011649965,0.003757762],"category_scores_gemma":[0.005352524,0.0004442459,0.0006224289,0.0006264028,0.0033347337,0.0029107414,0.0026281583,0.0018388263,0.00030469635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010443521,0.00004974039,0.002138002,0.00006972607,0.00003171367,0.00024615516,0.0003715473,0.008991913,0.0029716075,0.97811216,0.001663819,0.005249105],"study_design_scores_gemma":[0.000024134692,0.000056873247,0.002753087,0.000033324108,0.0000128566835,0.0001693308,0.00028745172,0.07095389,0.00049777474,0.9235986,0.0015884776,0.000024141944],"about_ca_topic_score_codex":0.0012931032,"about_ca_topic_score_gemma":0.0012299751,"teacher_disagreement_score":0.003757762,"about_ca_system_score_codex":0.0009910875,"about_ca_system_score_gemma":0.00048841664,"threshold_uncertainty_score":0.012571037},"labels":[],"label_agreement":null},{"id":"W2963837060","doi":"10.1016/j.aim.2009.05.017","title":"Coloured quiver mutation for higher cluster categories","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Quiver; Mathematics; Cluster (spacecraft); Mutation; Cluster algebra; Pure mathematics; Computer science; Genetics; Statistical physics; Biology; Programming language; Physics","score_opus":0.02232303010880349,"score_gpt":0.32932068156287614,"score_spread":0.30699765145407265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963837060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6401585,0.001092377,0.1417269,0.003512472,0.0013094511,0.00010500534,0.00042059974,0.0010653897,0.21060926],"genre_scores_gemma":[0.9393812,0.0002903083,0.013088807,0.000618242,0.00028023214,0.00007182304,0.00023858709,0.00025897668,0.045771956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992162,0.00015542646,0.00003558339,0.000134486,0.0002885094,0.00016979284],"domain_scores_gemma":[0.9987953,0.0003559351,0.00009875222,0.00019876639,0.00024751908,0.0003038118],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009562466,0.00055556145,0.0009917553,0.0026621951,0.002578443,0.003653913,0.0016089227,0.0018196278,0.009324361],"category_scores_gemma":[0.0025164196,0.00043234433,0.001025889,0.0015472333,0.003526668,0.0043070437,0.0028008325,0.0033163857,0.0010740923],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013907554,0.00000992512,0.00010989801,0.000010439826,0.000004014856,0.00005004039,0.000108063956,0.00035177724,0.0004404981,0.99652654,0.0007375178,0.001637374],"study_design_scores_gemma":[0.00001067239,0.000009188258,0.00017944151,0.000005211317,0.0000066412017,0.000105195184,0.000048900663,0.0029314824,0.00036119213,0.9943083,0.0020199022,0.000013915492],"about_ca_topic_score_codex":0.0028143306,"about_ca_topic_score_gemma":0.0029161286,"teacher_disagreement_score":0.009324361,"about_ca_system_score_codex":0.0028775611,"about_ca_system_score_gemma":0.0009368856,"threshold_uncertainty_score":0.031193137},"labels":[],"label_agreement":null},{"id":"W2963948467","doi":"10.1016/j.aim.2015.09.027","title":"A Kobayashi–Hitchin correspondence for I±-holomorphic bundles","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Holomorphic function; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.11547960490851301,"score_gpt":0.3756168176556211,"score_spread":0.2601372127471081,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963948467","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4956556,0.0032898115,0.17082593,0.0078382855,0.0016028355,0.00009200575,0.0004431217,0.0006583848,0.3195941],"genre_scores_gemma":[0.9528505,0.0010740934,0.013897827,0.0010161895,0.0010210121,0.00007201593,0.00024119104,0.00015304436,0.02967404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928373,0.00017862688,0.000047798134,0.0001822301,0.00017275542,0.00013491749],"domain_scores_gemma":[0.998838,0.0002967233,0.00019157749,0.000117581236,0.00019766166,0.00035840954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010619198,0.0010420976,0.0009055565,0.003138323,0.0028978223,0.004338141,0.0011354943,0.002297371,0.009819062],"category_scores_gemma":[0.0024751942,0.00060025515,0.0010916891,0.0017346531,0.0035892583,0.007008785,0.003106156,0.0032333818,0.0012063604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021074271,0.000012695149,0.00012096773,0.000017686605,0.000004462004,0.000060811606,0.0002038777,0.00013127818,0.00044370408,0.99652845,0.0006655209,0.001789429],"study_design_scores_gemma":[0.000012617793,0.000021916456,0.00029180723,0.000008080996,0.0000057613315,0.000111828995,0.0000793786,0.0013332258,0.0002621692,0.99545056,0.002410585,0.000012082899],"about_ca_topic_score_codex":0.0008468513,"about_ca_topic_score_gemma":0.00047475196,"teacher_disagreement_score":0.009819062,"about_ca_system_score_codex":0.001677986,"about_ca_system_score_gemma":0.0006578276,"threshold_uncertainty_score":0.032848},"labels":[],"label_agreement":null},{"id":"W2963962063","doi":"10.1016/j.aim.2015.07.037","title":"Convergence rate, location and<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msubsup><mml:mrow><mml:mo>∂</mml:mo></mml:mrow><mml:mrow><mml:mi>z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math>condition for fully bubbling solutions to<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:mrow><mml:mi mathvariant=\"italic\">SU</mml:mi></mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math>Toda systems","year":2015,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"University of British Columbia","keywords":"Mathematics; Convergence (economics); Riemann hypothesis; Harmonic; Scroll; Holomorphic function; Algorithm; Pure mathematics; Physics","score_opus":0.027926845075266844,"score_gpt":0.2605242287666137,"score_spread":0.23259738369134683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963962063","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14851369,0.003715422,0.5258212,0.0096932985,0.0017010977,0.00054973457,0.0057677086,0.00381841,0.30041945],"genre_scores_gemma":[0.6444989,0.003572973,0.15200908,0.001127856,0.00025974168,0.0012136203,0.0065560467,0.0055700494,0.18519172],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990102,0.00021695327,0.00008778829,0.00023785107,0.0002572232,0.00019000503],"domain_scores_gemma":[0.99167824,0.003331985,0.0007480997,0.0006951122,0.002886753,0.0006598397],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003307406,0.0014269814,0.00087651395,0.0020082127,0.0014465317,0.003595534,0.0014767091,0.0019660438,0.04917605],"category_scores_gemma":[0.023239002,0.00048256078,0.0008990492,0.0007438549,0.0016119281,0.0038726013,0.0021719022,0.0026029812,0.010015363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015851195,0.00028483637,0.0047096102,0.001640202,0.00008938599,0.0005414812,0.0013378351,0.16321439,0.066222236,0.5718937,0.08373009,0.104751036],"study_design_scores_gemma":[0.00012770055,0.00043213106,0.0052166386,0.0007441146,0.000074651776,0.0005068319,0.001229096,0.7014198,0.08723508,0.14255612,0.06012844,0.00032941691],"about_ca_topic_score_codex":0.0078060846,"about_ca_topic_score_gemma":0.005240221,"teacher_disagreement_score":0.04917605,"about_ca_system_score_codex":0.0022780881,"about_ca_system_score_gemma":0.0031563938,"threshold_uncertainty_score":0.16451031},"labels":[],"label_agreement":null},{"id":"W2964024929","doi":"10.1016/j.aim.2014.12.028","title":"The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Israel Science Foundation; Natural Sciences and Engineering Research Council of Canada; National Foundation for Science and Technology Development","keywords":"Mathematics; Unipotent; Conjecture; Galois cohomology; Kernel (algebra); Pure mathematics; Galois group; Galois module; Embedding problem; Filtration (mathematics); Discrete mathematics","score_opus":0.030839075069816844,"score_gpt":0.3063051632808839,"score_spread":0.27546608821106705,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964024929","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79030675,0.0019379844,0.05261972,0.00661975,0.00085961446,0.00003512477,0.00029121136,0.00027363037,0.14705636],"genre_scores_gemma":[0.9857767,0.00054762774,0.0033799123,0.00030769914,0.0006893078,0.00002120459,0.00016588919,0.000053016665,0.009058581],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989717,0.0001755535,0.00006273562,0.00023189488,0.00029703032,0.00026108944],"domain_scores_gemma":[0.99754995,0.0009332135,0.00043340347,0.00039410498,0.00027396946,0.00041528916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019792872,0.00083992997,0.0012929314,0.0026332715,0.002914317,0.0047769467,0.001538303,0.0019288696,0.006218831],"category_scores_gemma":[0.0046910886,0.0005260437,0.00095755165,0.0014445873,0.008096089,0.010547244,0.0041166097,0.003450853,0.00085560995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006133603,0.000018637662,0.00030674273,0.00003501023,0.0000044056355,0.0001203886,0.00024710665,0.0001811231,0.00050854235,0.9958187,0.0006830633,0.00201499],"study_design_scores_gemma":[0.000015797586,0.000010115046,0.00023021696,0.000009167302,0.000005138371,0.000084713494,0.00008295149,0.0007122939,0.00028698,0.99759716,0.0009573958,0.000008106752],"about_ca_topic_score_codex":0.00094472844,"about_ca_topic_score_gemma":0.00048143146,"teacher_disagreement_score":0.006218831,"about_ca_system_score_codex":0.0014660759,"about_ca_system_score_gemma":0.0007238956,"threshold_uncertainty_score":0.020804048},"labels":[],"label_agreement":null},{"id":"W2964074077","doi":"10.1016/j.aim.2011.09.008","title":"The orbifold topological vertex","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Orbifold; Mathematics; Conjecture; Quotient; Conifold; Vertex (graph theory); Abelian group; Gravitational singularity; Pure mathematics; Formalism (music); Combinatorics; Graph; Mathematical physics; Mathematical analysis; Gauge theory","score_opus":0.06921860857177643,"score_gpt":0.3396956271356745,"score_spread":0.2704770185638981,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964074077","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36907256,0.0013272846,0.03657005,0.00512877,0.0013538856,0.00007833025,0.00047233197,0.00067590905,0.5853209],"genre_scores_gemma":[0.94854707,0.0007059601,0.00555829,0.0008028829,0.00084097247,0.00006815584,0.00036651458,0.00023210993,0.042878065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996896,0.000059142316,0.0000123701775,0.000052022213,0.00011615028,0.00007070703],"domain_scores_gemma":[0.9997354,0.0000431527,0.000032543372,0.00005301175,0.00004809516,0.00008769131],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004192922,0.00074402435,0.0009137975,0.002607758,0.0019562477,0.0038706686,0.0007378043,0.0013956692,0.010128155],"category_scores_gemma":[0.0012606538,0.00030280274,0.0004916265,0.0010981263,0.0024104225,0.003410135,0.001977903,0.0024726489,0.0014778352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022745091,0.000007987857,0.00009781773,0.000017407694,0.0000033304727,0.00008169571,0.00007132595,0.00023552756,0.0007002224,0.99508923,0.0009311863,0.0027416162],"study_design_scores_gemma":[0.00001558231,0.000010924771,0.000280902,0.0000136937715,0.000005350339,0.00016882442,0.000115128576,0.001647066,0.000336918,0.9938022,0.0035941792,0.000009143444],"about_ca_topic_score_codex":0.0012180296,"about_ca_topic_score_gemma":0.0007912299,"teacher_disagreement_score":0.010128155,"about_ca_system_score_codex":0.0012418394,"about_ca_system_score_gemma":0.00067279127,"threshold_uncertainty_score":0.03388208},"labels":[],"label_agreement":null},{"id":"W2964133123","doi":"10.1016/j.aim.2013.03.015","title":"Littlewood polynomials with small<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math>norm","year":2013,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Scroll; Algorithm; Theology; Philosophy","score_opus":0.018497389329810675,"score_gpt":0.25527118917362046,"score_spread":0.23677379984380978,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964133123","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.037991185,0.002298584,0.44644544,0.0057215407,0.0025422524,0.00015911293,0.002781628,0.0037423524,0.49831793],"genre_scores_gemma":[0.5118994,0.0035178314,0.13692364,0.0022208947,0.00241284,0.00040998738,0.0033979798,0.004662279,0.33455512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908626,0.00019673593,0.000040679326,0.00018370117,0.00034998465,0.00014248195],"domain_scores_gemma":[0.9970331,0.0013323472,0.00024057348,0.00050391204,0.00056199764,0.0003280457],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00124036,0.00093789934,0.0007148968,0.0016896091,0.001333297,0.0035481013,0.0012986673,0.000704917,0.07671186],"category_scores_gemma":[0.0092017595,0.00054488436,0.0008411193,0.001993831,0.0020581265,0.0060403347,0.0024486422,0.0037181247,0.025720142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018171295,0.000060882703,0.00037832742,0.00024383294,0.000012965853,0.00017804831,0.00042493857,0.0012969798,0.0028976942,0.87439984,0.062390532,0.057534326],"study_design_scores_gemma":[0.000045447363,0.000056292818,0.0006660701,0.00007672238,0.000020451762,0.00037514142,0.000119613105,0.007594804,0.005578004,0.8565837,0.12883788,0.000045845067],"about_ca_topic_score_codex":0.0020590904,"about_ca_topic_score_gemma":0.0037376103,"teacher_disagreement_score":0.07671186,"about_ca_system_score_codex":0.0014356928,"about_ca_system_score_gemma":0.0011195596,"threshold_uncertainty_score":0.25662673},"labels":[],"label_agreement":null},{"id":"W2964213905","doi":"10.1016/j.aim.2014.07.001","title":"Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flows","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Harmonic map; SPHERES; Harmonic; Homotopy; Bounded function; Singularity; Uniform boundedness; Mathematical analysis; Curvature; Pure mathematics; Homotopy group; Set (abstract data type); Geometry","score_opus":0.02136689585497464,"score_gpt":0.29787970679397835,"score_spread":0.2765128109390037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964213905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8388815,0.002209215,0.09741706,0.0014210038,0.0002696914,0.00007315004,0.00031482676,0.00021261428,0.05920087],"genre_scores_gemma":[0.9680218,0.0014305614,0.010363956,0.00013979423,0.00040323965,0.00005641059,0.0002397172,0.00008097014,0.019263653],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997061,0.00006300389,0.000019371533,0.00005271452,0.00008815477,0.000070540365],"domain_scores_gemma":[0.9991961,0.00029290075,0.00011835558,0.000050993163,0.00011731845,0.00022424285],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064463814,0.00090190425,0.0007569228,0.0061898623,0.0015467332,0.0029626808,0.00090172724,0.0010359269,0.007857131],"category_scores_gemma":[0.0023815336,0.00048473218,0.0008240608,0.0021788792,0.0023715273,0.003931333,0.0027017079,0.0015362573,0.00052853784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029223245,0.000028589746,0.0007364334,0.00002974159,0.000012686829,0.0000971921,0.0005273356,0.0019029871,0.001205199,0.9854358,0.0008444317,0.0091504725],"study_design_scores_gemma":[0.0000133819385,0.000025603636,0.0017561523,0.000023398485,0.000013158173,0.00015513605,0.00030105992,0.013257847,0.00089429424,0.9787119,0.0048263827,0.000021742604],"about_ca_topic_score_codex":0.0021656817,"about_ca_topic_score_gemma":0.0013316674,"teacher_disagreement_score":0.007857131,"about_ca_system_score_codex":0.0017646555,"about_ca_system_score_gemma":0.0004897486,"threshold_uncertainty_score":0.026284754},"labels":[],"label_agreement":null},{"id":"W2964239360","doi":"10.1016/j.aim.2018.08.003","title":"The homotopy theory of type theories","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Functor; Type (biology); Homotopy; Type theory; Construct (python library); Model category; Pure mathematics; Category theory; Algebra over a field; Homotopy category; Computer science; Programming language","score_opus":0.01941251593593104,"score_gpt":0.3330591541834173,"score_spread":0.3136466382474863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964239360","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1154443,0.02730694,0.23513454,0.017176617,0.0021759255,0.00005367522,0.00065190106,0.0003962228,0.60165995],"genre_scores_gemma":[0.8995612,0.00781828,0.022160372,0.0017557945,0.002918295,0.00008095011,0.00037819732,0.00012673752,0.065200195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992865,0.00026470286,0.00003272516,0.000116349176,0.00023038853,0.000069301765],"domain_scores_gemma":[0.9989065,0.00057592173,0.00006749798,0.00015981653,0.00017836153,0.000111902285],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001246369,0.0005387063,0.0008269933,0.0026912803,0.0019909514,0.00414739,0.0009495124,0.001605531,0.008070125],"category_scores_gemma":[0.0023513138,0.0004396834,0.00065815524,0.001909018,0.007227958,0.01133884,0.00213471,0.0032651918,0.00095537136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000026040505,0.0000020932914,0.000032866727,0.000009703386,0.0000015894167,0.000008500109,0.000076208045,0.00008365157,0.000056016954,0.99785644,0.00041616755,0.0014540921],"study_design_scores_gemma":[0.0000024650244,0.000001915133,0.000038438455,0.000004540321,0.0000013070214,0.000015769394,0.000031794356,0.0002366146,0.000029889572,0.9965312,0.0031044674,0.0000017013218],"about_ca_topic_score_codex":0.0011226978,"about_ca_topic_score_gemma":0.0007769853,"teacher_disagreement_score":0.008070125,"about_ca_system_score_codex":0.0014622374,"about_ca_system_score_gemma":0.00078612764,"threshold_uncertainty_score":0.026997209},"labels":[],"label_agreement":null},{"id":"W2964319965","doi":"10.1016/j.aim.2010.01.028","title":"The decomposition of global conformal invariants IV: A proposition on local Riemannian invariants","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Conformal map; Proposition; Pure mathematics; Decomposition; Algebra over a field; Mathematical analysis; Linguistics","score_opus":0.01710988743447668,"score_gpt":0.3708976839565375,"score_spread":0.3537877965220608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964319965","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29876116,0.0023704409,0.50911963,0.001833597,0.0008759205,0.00011790234,0.00048158428,0.00059998874,0.18583973],"genre_scores_gemma":[0.89352584,0.0013373934,0.04126747,0.0008596604,0.00081235607,0.0001153053,0.00043165637,0.00043140902,0.061218932],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996481,0.00006332962,0.000016267217,0.00011130097,0.00007182253,0.00008914622],"domain_scores_gemma":[0.9994906,0.00009068867,0.000086931526,0.00008048666,0.000107627275,0.00014364277],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008271135,0.001130906,0.000807304,0.0027766465,0.0009574197,0.0027105156,0.0009074463,0.00066546735,0.007306647],"category_scores_gemma":[0.00093228684,0.00040315322,0.001176668,0.000955476,0.0033159303,0.0033144366,0.0025608828,0.0030176234,0.001208091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017775894,0.0000106914995,0.00017182116,0.000027905808,0.000008783012,0.000051544575,0.00022322188,0.00028873535,0.0019152852,0.99082947,0.0010111986,0.0054435385],"study_design_scores_gemma":[0.000008533803,0.000039762377,0.0007196182,0.000018553066,0.000016917844,0.00009923181,0.0001445728,0.0030582652,0.001052361,0.98954844,0.005281314,0.000012414917],"about_ca_topic_score_codex":0.0007597665,"about_ca_topic_score_gemma":0.000483383,"teacher_disagreement_score":0.007306647,"about_ca_system_score_codex":0.0008040234,"about_ca_system_score_gemma":0.00033646537,"threshold_uncertainty_score":0.02444315},"labels":[],"label_agreement":null},{"id":"W2966958249","doi":"10.1016/j.aim.2019.106748","title":"Extensions of unipotent groups, Massey products and Galois theory","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Unipotent; Root of unity; Conjecture; Quotient; Pure mathematics; Variety (cybernetics); Simple (philosophy); Galois module; Rational point; Galois cohomology; Finite field; Cohomology; Field (mathematics); Galois group; Combinatorics; Mathematical analysis","score_opus":0.014894353912811032,"score_gpt":0.2778917129761147,"score_spread":0.2629973590633037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2966958249","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47338086,0.045933448,0.14879064,0.009937253,0.0024824205,0.00005411589,0.0003518906,0.00026321202,0.31880614],"genre_scores_gemma":[0.95218325,0.007482307,0.011251969,0.00058623485,0.002839567,0.00005593673,0.00016751846,0.000044120527,0.025389176],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993223,0.00023428159,0.000043357453,0.00014275406,0.00016460786,0.0000926496],"domain_scores_gemma":[0.9989648,0.00048494243,0.00018123377,0.00010368545,0.00010490947,0.00016041973],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014438397,0.0010606181,0.0010810652,0.0027206244,0.0020845185,0.003707727,0.0008430358,0.0011993194,0.004469513],"category_scores_gemma":[0.002186529,0.00044916128,0.0007604307,0.0020465944,0.0062084664,0.007695866,0.0030215383,0.002933363,0.0005435562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016108766,0.000010019784,0.00008451215,0.000024051968,0.0000036189201,0.00003500098,0.00019635615,0.00017938616,0.00013797605,0.9968533,0.00032875314,0.00213095],"study_design_scores_gemma":[0.000007744716,0.00000906811,0.00010018599,0.0000071583,0.0000033906804,0.000056430774,0.000057565285,0.00023061695,0.000051733787,0.9968708,0.0026014054,0.0000039484075],"about_ca_topic_score_codex":0.00052804913,"about_ca_topic_score_gemma":0.00038242294,"teacher_disagreement_score":0.004469513,"about_ca_system_score_codex":0.0013482929,"about_ca_system_score_gemma":0.00046988713,"threshold_uncertainty_score":0.014952004},"labels":[],"label_agreement":null},{"id":"W2969594755","doi":"10.1016/j.aim.2019.106772","title":"A Steiner formula in the L Brunn Minkowski theory","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Science Foundation","keywords":"Mathematics; Minkowski space; Affine transformation; Dual (grammatical number); Steiner tree problem; Convex body; Combinatorics; Mathematical analysis; Pure mathematics; Geometry; Regular polygon; Convex hull","score_opus":0.024968948150286042,"score_gpt":0.32932050823198217,"score_spread":0.3043515600816961,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969594755","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31622684,0.008613096,0.34428608,0.013455284,0.0013296606,0.00006804127,0.00053617405,0.00021877057,0.3152661],"genre_scores_gemma":[0.9167305,0.002623635,0.050555974,0.0014853291,0.0012723553,0.00008822207,0.0002811676,0.00012361052,0.026839057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999311,0.0003218814,0.00003524375,0.00009724933,0.00016047135,0.00007416946],"domain_scores_gemma":[0.99902594,0.0005015406,0.00012468091,0.00007470406,0.00014763263,0.00012540632],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015206576,0.0007772186,0.0011529675,0.0021823156,0.0014938733,0.0027071314,0.0012740351,0.0017349609,0.005136501],"category_scores_gemma":[0.0037380955,0.00043136496,0.00112517,0.0019033254,0.0037844398,0.005318483,0.0022097446,0.0036163311,0.0006485593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007986986,0.000002830859,0.000057162873,0.000012804548,0.0000022825386,0.000017415628,0.000034738187,0.00032688997,0.00014814017,0.9976593,0.00034919192,0.0013812383],"study_design_scores_gemma":[0.0000051599563,0.0000069606253,0.000093816045,0.000007675419,0.000002884946,0.000030979114,0.000024538067,0.0025960049,0.000082470615,0.99597895,0.001165297,0.000005140359],"about_ca_topic_score_codex":0.0012702474,"about_ca_topic_score_gemma":0.00085411564,"teacher_disagreement_score":0.005136501,"about_ca_system_score_codex":0.0020240585,"about_ca_system_score_gemma":0.00090917165,"threshold_uncertainty_score":0.017183244},"labels":[],"label_agreement":null},{"id":"W2970939035","doi":"10.1016/j.aim.2019.106777","title":"Generalised F-algebras as predual algebras of JBW⁎-triples and characterisations of the Fourier algebras on locally compact groups","year":2019,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Axiom; Context (archaeology); Algebra over a field; Locally compact space; Dual (grammatical number)","score_opus":0.026391229746481434,"score_gpt":0.32956987111382463,"score_spread":0.3031786413673432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2970939035","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72337615,0.0013793042,0.17516796,0.0011550221,0.00047822497,0.00013396362,0.00042403387,0.00029614902,0.097589105],"genre_scores_gemma":[0.9651635,0.00048025828,0.016614798,0.00024670555,0.00035203478,0.00009044167,0.00028189682,0.000081740516,0.016688507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902034,0.00023543913,0.00006089284,0.00015407334,0.0002759304,0.000253321],"domain_scores_gemma":[0.99868065,0.00031084142,0.00025599572,0.0001354763,0.0002569643,0.00036009785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017927863,0.0009215061,0.0008622047,0.0041541425,0.0023565253,0.0041017947,0.001251623,0.0014529666,0.0062932824],"category_scores_gemma":[0.0023878363,0.0005065922,0.0012606609,0.0015533394,0.0049826126,0.0064381696,0.002469372,0.002456885,0.0007157128],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023742674,0.000012021593,0.00015602881,0.000015874828,0.000006794137,0.000076561424,0.00027299195,0.00029660645,0.00066206435,0.99645656,0.0001881602,0.0018325173],"study_design_scores_gemma":[0.00001192462,0.000021356178,0.0003271624,0.000012771708,0.000007770435,0.00013028311,0.0002666674,0.001766414,0.00047247758,0.99552405,0.0014417333,0.000017379349],"about_ca_topic_score_codex":0.0011160094,"about_ca_topic_score_gemma":0.001051069,"teacher_disagreement_score":0.0062932824,"about_ca_system_score_codex":0.0011792274,"about_ca_system_score_gemma":0.0006189004,"threshold_uncertainty_score":0.021053195},"labels":[],"label_agreement":null},{"id":"W2987985347","doi":"10.1016/j.aim.2023.109085","title":"Localizable points in the support of a multiplier ideal and spectra of constrained operators","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Unit sphere; Hilbert space; Pure mathematics; Annihilator; Multiplier (economics); Discrete mathematics; Algebra over a field","score_opus":0.025726380514076577,"score_gpt":0.32246843490640564,"score_spread":0.2967420543923291,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2987985347","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.851681,0.00077960145,0.10158016,0.0011738269,0.00011973742,0.000036494173,0.00019454086,0.00011662499,0.044318136],"genre_scores_gemma":[0.9831556,0.0002598546,0.007817198,0.00007295803,0.00014471542,0.000031820397,0.00011630363,0.000046583362,0.0083549395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995714,0.00009638697,0.000017828725,0.000075052216,0.00014852123,0.00009082081],"domain_scores_gemma":[0.9985421,0.0004457516,0.00031318664,0.000077424185,0.00021872272,0.00040294003],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009317713,0.00072753336,0.00070475886,0.0025645797,0.001586027,0.0027749082,0.0012024959,0.00092883344,0.004907799],"category_scores_gemma":[0.0031764312,0.000441506,0.00048982416,0.0011343819,0.0031037398,0.0035701036,0.0021578623,0.0018019396,0.00047871645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063810425,0.000023971028,0.0002778039,0.000027752463,0.0000108690365,0.00018208401,0.00023266322,0.0012990627,0.0026085454,0.9933055,0.0003357589,0.0016321782],"study_design_scores_gemma":[0.000037933303,0.00002804615,0.00054897275,0.0000178036,0.000008070161,0.00019582722,0.00029037648,0.012492287,0.0011795734,0.9842184,0.00096202,0.00002064663],"about_ca_topic_score_codex":0.0008776489,"about_ca_topic_score_gemma":0.00074425695,"teacher_disagreement_score":0.004907799,"about_ca_system_score_codex":0.001320901,"about_ca_system_score_gemma":0.000594133,"threshold_uncertainty_score":0.016418159},"labels":[],"label_agreement":null},{"id":"W2996079308","doi":"10.1016/j.aim.2023.108932","title":"Nonmodular infinite products and a conjecture of Seo and Yee","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Conjecture; Integer (computer science); Infinite product; Combinatorics; Product (mathematics); Series (stratigraphy); Discrete mathematics; Geometry; Computer science","score_opus":0.02997880398193826,"score_gpt":0.31939043225697006,"score_spread":0.2894116282750318,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996079308","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35869023,0.01104707,0.10324962,0.07885412,0.0061558904,0.000085139196,0.0009884037,0.0007738034,0.4401557],"genre_scores_gemma":[0.94800705,0.0018807519,0.010934389,0.004245549,0.0027232438,0.00008240677,0.00044692462,0.00017867346,0.031501014],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980161,0.0005868591,0.00010478646,0.0004862167,0.0004461269,0.0003598071],"domain_scores_gemma":[0.99336493,0.0041338126,0.00045128187,0.0009764706,0.00063201867,0.00044150362],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003049648,0.0011953412,0.0021369795,0.0018910294,0.0050270497,0.0046481155,0.001491165,0.0028648162,0.011758157],"category_scores_gemma":[0.009458976,0.0008596969,0.0017217746,0.0028967438,0.01005039,0.017317874,0.005540036,0.007019423,0.0015177066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052491527,0.000017262819,0.00015776671,0.000028633365,0.000005494948,0.000054613793,0.00024109079,0.0002027775,0.00009447015,0.994385,0.0028551836,0.00190521],"study_design_scores_gemma":[0.000013585321,0.0000073589727,0.00006722704,0.000010834654,0.0000046017954,0.00004481551,0.000048288603,0.00037195993,0.000070521564,0.99618065,0.0031736344,0.000006642903],"about_ca_topic_score_codex":0.0008921493,"about_ca_topic_score_gemma":0.0006574838,"teacher_disagreement_score":0.011758157,"about_ca_system_score_codex":0.0020330495,"about_ca_system_score_gemma":0.0011119356,"threshold_uncertainty_score":0.039334953},"labels":[],"label_agreement":null},{"id":"W2996458942","doi":"10.1016/j.aim.2024.109656","title":"Laurent polynomial mirrors for quiver flag zero loci","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Quiver; Flag (linear algebra); Zero (linguistics); Laurent polynomial; Mathematics; Polynomial; Combinatorics; Pure mathematics; Physics; Algebra over a field; Mathematical analysis; Linguistics; Philosophy","score_opus":0.03481225199071008,"score_gpt":0.34833421766449185,"score_spread":0.31352196567378177,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996458942","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9568539,0.00014548676,0.026697032,0.00015092838,0.00004560066,0.000035929577,0.000097529984,0.00016866157,0.01580499],"genre_scores_gemma":[0.98463225,0.00008664456,0.008672881,0.000051628413,0.000026450312,0.000023275943,0.00016155103,0.000052521416,0.00629285],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997565,0.000025108462,0.000018702924,0.000073045376,0.00007542103,0.000051201285],"domain_scores_gemma":[0.9996062,0.00008028276,0.00009399371,0.00007567279,0.000059728034,0.00008418088],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031515074,0.00027563918,0.00034508193,0.0010841954,0.0011216855,0.0015937482,0.0004137087,0.00054769794,0.004085064],"category_scores_gemma":[0.0017097472,0.00024304067,0.00043925404,0.0003501215,0.0011441034,0.0019260187,0.00086854317,0.000725257,0.00044034782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002557453,0.00008185813,0.026701262,0.00009758214,0.000022631766,0.0012093587,0.0013535741,0.0037410483,0.023002487,0.90422255,0.0016519547,0.037660137],"study_design_scores_gemma":[0.00007108089,0.0004125603,0.035461932,0.00013758852,0.0000760698,0.0035155143,0.0017864972,0.046883434,0.041653235,0.84006554,0.029802993,0.00013351368],"about_ca_topic_score_codex":0.0009711911,"about_ca_topic_score_gemma":0.00087537343,"teacher_disagreement_score":0.004085064,"about_ca_system_score_codex":0.00077907275,"about_ca_system_score_gemma":0.00030629593,"threshold_uncertainty_score":0.013665915},"labels":[],"label_agreement":null},{"id":"W3005591030","doi":"10.1016/j.aim.2020.107048","title":"Geometrical logarithmic capacitance","year":2020,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Measure (data warehouse); Conformal map; Mathematical analysis; Convex body; Curvature; RADIUS; Regular polygon; Harmonic mean; Geometry; Convex hull","score_opus":0.04560730783930519,"score_gpt":0.31270386024492036,"score_spread":0.2670965524056152,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3005591030","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11319759,0.0025843927,0.12954997,0.00791029,0.0016891987,0.00006941994,0.0007094928,0.0008853567,0.74340427],"genre_scores_gemma":[0.82056934,0.0015495161,0.009167067,0.0013411915,0.0014646744,0.00005336496,0.00044005865,0.00047858243,0.16493616],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955076,0.0000662486,0.0000148313975,0.00013334645,0.00016874794,0.00006614178],"domain_scores_gemma":[0.9994235,0.00012929058,0.0000668281,0.00009734658,0.00017101485,0.000112083704],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032527454,0.0009495622,0.00068786065,0.003109716,0.0013744903,0.0028644511,0.00081856357,0.0013703202,0.03445239],"category_scores_gemma":[0.00238221,0.0003339556,0.00046952066,0.0016517626,0.0021583799,0.00524512,0.0021652118,0.002651397,0.004085607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013707992,0.000007835041,0.000059912603,0.000016604476,0.0000031256127,0.000038790502,0.000033555305,0.00044911192,0.00072529627,0.9922144,0.0025124613,0.0039251796],"study_design_scores_gemma":[0.0000091064285,0.000017869557,0.00030925203,0.000009339021,0.0000063440716,0.00043710857,0.000051348357,0.0052082795,0.0010125972,0.97140163,0.021521093,0.000015971293],"about_ca_topic_score_codex":0.0006679536,"about_ca_topic_score_gemma":0.0005009207,"teacher_disagreement_score":0.03445239,"about_ca_system_score_codex":0.0018495648,"about_ca_system_score_gemma":0.0005297152,"threshold_uncertainty_score":0.1152547},"labels":[],"label_agreement":null},{"id":"W3008113256","doi":"10.1016/j.aim.2020.107081","title":"Stochastic order on metric spaces and the ordered Kantorovich monad","year":2020,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Mathematics; Morphism; Monad (category theory); Metric space; Pure mathematics; Locally convex topological vector space; Discrete mathematics; Algebra over a field; Topological space; Functor","score_opus":0.023137610809578196,"score_gpt":0.3115351039457085,"score_spread":0.2883974931361303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008113256","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38390034,0.0054174676,0.4853539,0.00793145,0.00077983487,0.000061948886,0.00077991857,0.0003630384,0.11541205],"genre_scores_gemma":[0.94946194,0.001686409,0.02711008,0.00055662997,0.0007221278,0.000060600672,0.00033280885,0.00009765591,0.019971745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982002,0.00057955005,0.00012886045,0.00022448687,0.0006039767,0.0002628515],"domain_scores_gemma":[0.9968913,0.0012120369,0.0004990834,0.00031403906,0.00052202784,0.00056145305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023839604,0.0007540495,0.001079773,0.002254896,0.0018281293,0.00406813,0.0010130531,0.0014503662,0.0033849862],"category_scores_gemma":[0.0038645952,0.0005355074,0.0011545368,0.0016591027,0.00518929,0.005730801,0.0026811196,0.0032726543,0.00051352725],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000788518,0.0000042877195,0.00004555693,0.000006656637,0.0000030816766,0.000012875855,0.000034642588,0.00045481074,0.00012093527,0.99875057,0.00013429533,0.00042443286],"study_design_scores_gemma":[0.000004645828,0.0000071858885,0.00007503215,0.0000037486607,0.0000022232668,0.00002155737,0.00001554061,0.0032565407,0.00007135501,0.99586594,0.0006699918,0.000006247776],"about_ca_topic_score_codex":0.0026607672,"about_ca_topic_score_gemma":0.0029419453,"teacher_disagreement_score":0.00406813,"about_ca_system_score_codex":0.0030073726,"about_ca_system_score_gemma":0.0019370229,"threshold_uncertainty_score":0.021820068},"labels":[],"label_agreement":null},{"id":"W3015409027","doi":"10.1016/j.aim.2022.108636","title":"Analytic linearization of conformal maps of the annulus","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Holomorphic function; Submanifold; Foliation (geology); Codimension; Annulus (botany); Pure mathematics; Conformal map; Corollary; Conjugate points; Rotation (mathematics); Diffeomorphism; Mathematical analysis; Operator (biology); Geometry","score_opus":0.016373485674414417,"score_gpt":0.2989461907401212,"score_spread":0.28257270506570675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3015409027","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70722115,0.0023632504,0.10008413,0.0039615473,0.0006912855,0.00009962739,0.00036764747,0.0006625277,0.18454883],"genre_scores_gemma":[0.9620076,0.00073742046,0.0061510163,0.0003111956,0.0006156562,0.00004368457,0.00018973125,0.00013249155,0.029811209],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997365,0.00007388935,0.000010386095,0.000048023165,0.00007571167,0.00005559893],"domain_scores_gemma":[0.9991786,0.000211587,0.00013687987,0.000059324488,0.000179154,0.00023452596],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000464127,0.00070445804,0.00069515296,0.0021846094,0.0011222648,0.0017801084,0.00078254973,0.0007664918,0.0065374747],"category_scores_gemma":[0.0024678279,0.00027121074,0.00054492464,0.00051144627,0.0017010123,0.0018686453,0.0018049817,0.001498403,0.0010058887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004319657,0.000028694856,0.00021557767,0.00003921157,0.000011343879,0.00016706025,0.00027020887,0.0022787617,0.002673209,0.9899222,0.001162129,0.0031884103],"study_design_scores_gemma":[0.00004336514,0.000083230865,0.0010027353,0.000021525071,0.000013317407,0.00032279437,0.00028256598,0.026118984,0.0011201106,0.9655577,0.005404502,0.000029158326],"about_ca_topic_score_codex":0.0016395171,"about_ca_topic_score_gemma":0.00082966516,"teacher_disagreement_score":0.0065374747,"about_ca_system_score_codex":0.0014645493,"about_ca_system_score_gemma":0.00060019875,"threshold_uncertainty_score":0.021870017},"labels":[],"label_agreement":null},{"id":"W3023650506","doi":"10.1016/j.aim.2021.108074","title":"Arthur packets for G2 and perverse sheaves on cubics","year":2021,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge; University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Pacific Institute for the Mathematical Sciences; University of Lethbridge; University of Calgary","keywords":"Unipotent; Network packet; Moduli space; Homogeneous; Pure mathematics; Mathematics; Equivariant map; Simple (philosophy); Stability (learning theory); Algebra over a field; Subject (documents); Space (punctuation); Computer science; Combinatorics; Epistemology; Philosophy","score_opus":0.04463817243439203,"score_gpt":0.3636460704764613,"score_spread":0.31900789804206925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3023650506","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92619383,0.0005897959,0.045479715,0.00041155037,0.0000806458,0.000030029385,0.0001601235,0.00012321949,0.026931176],"genre_scores_gemma":[0.9831707,0.00030133344,0.006281379,0.00006297369,0.00013603082,0.000016415406,0.00017067249,0.000048480902,0.009811965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973077,0.00004942464,0.000009293499,0.000038521473,0.000100299374,0.00007165524],"domain_scores_gemma":[0.99964285,0.00007909687,0.0000682615,0.000037079983,0.00005172633,0.00012098584],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045013725,0.00064862665,0.0002931584,0.002371032,0.0009653879,0.002107675,0.00045391943,0.00044645622,0.0037664082],"category_scores_gemma":[0.0009832536,0.00017639427,0.00050361175,0.0010347826,0.0020682141,0.0020811122,0.0016957048,0.0012078132,0.00044152833],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036657973,0.00002660865,0.00115174,0.000026418431,0.0000059627837,0.00017976631,0.0005639332,0.002457576,0.0025125456,0.98543674,0.00057852594,0.007023415],"study_design_scores_gemma":[0.000018676083,0.00006781045,0.0029472616,0.000017458133,0.000008394953,0.00037387485,0.0005076361,0.017774826,0.0024378435,0.9691822,0.006634027,0.00002996253],"about_ca_topic_score_codex":0.0015714219,"about_ca_topic_score_gemma":0.00091569923,"teacher_disagreement_score":0.0037664082,"about_ca_system_score_codex":0.0007375533,"about_ca_system_score_gemma":0.0003486596,"threshold_uncertainty_score":0.012599945},"labels":[],"label_agreement":null},{"id":"W3026823774","doi":"10.1016/j.aim.2021.107685","title":"Duality of subregular <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:mi mathvariant=\"script\">W</mml:mi> </mml:math> -algebras and principal <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:mi mathvariant=\"script\">W</mml:mi> </mml:math> -superalgebras","year":2021,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Mathematics; Vertex operator algebra; Combinatorics; Conjecture; Type (biology); Coset; Duality (order theory); Quotient; Lattice (music); Diagonal; Algebra over a field; Pure mathematics; Physics; Geometry; Jordan algebra; Current algebra","score_opus":0.022198069737653123,"score_gpt":0.2653987638084397,"score_spread":0.24320069407078657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3026823774","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22610646,0.00088445167,0.25648162,0.0031489227,0.0006697573,0.00012935848,0.00095780345,0.00076598045,0.5108556],"genre_scores_gemma":[0.8618243,0.0006494749,0.043635998,0.0009318967,0.00048806242,0.00012475628,0.0008972221,0.00045754574,0.0909908],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99887294,0.00036673323,0.000054883407,0.00023201972,0.00028749558,0.00018599072],"domain_scores_gemma":[0.9985611,0.0002682557,0.00019972332,0.00018660839,0.00044837876,0.00033590698],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013377896,0.00032901653,0.00044889035,0.0011678977,0.001425693,0.0029980324,0.0006326947,0.0005554625,0.013389611],"category_scores_gemma":[0.0018332317,0.00032520943,0.00087886106,0.0006679765,0.0023305481,0.0041625383,0.0019181472,0.0018653346,0.0028204313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013757789,0.000011441832,0.000068860754,0.000009546889,0.0000020034718,0.000019921938,0.00013097693,0.00008697007,0.00037152003,0.99628615,0.0011960776,0.0018028378],"study_design_scores_gemma":[0.000013520319,0.000019933925,0.00025530392,0.000011229955,0.000004272173,0.0000907061,0.00014802514,0.0023544757,0.0012807435,0.9810972,0.014714527,0.00001001538],"about_ca_topic_score_codex":0.0016798025,"about_ca_topic_score_gemma":0.0016683468,"teacher_disagreement_score":0.013389611,"about_ca_system_score_codex":0.0018523539,"about_ca_system_score_gemma":0.0011389636,"threshold_uncertainty_score":0.04479271},"labels":[],"label_agreement":null},{"id":"W3036157213","doi":"10.1016/j.aim.2022.108508","title":"Quadratic types and the dynamic Euler number of lines on a quintic threefold","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Norges Forskningsråd; Réseau de cancérologie Rossy","keywords":"Quintic function; Mathematics; Euler's formula; Fermat's Last Theorem; Line (geometry); Quadratic equation; Type (biology); Euler number (physics); Field (mathematics); Mathematical analysis; Section (typography); Pure mathematics; Combinatorics; Geometry; Euler equations; Backward Euler method; Nonlinear system; Semi-implicit Euler method; Physics; Quantum mechanics","score_opus":0.013363004190440364,"score_gpt":0.30861433919783143,"score_spread":0.2952513350073911,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3036157213","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9613147,0.00023727343,0.020937068,0.0001594573,0.0000648972,0.000013554657,0.00015516124,0.0001007154,0.017017175],"genre_scores_gemma":[0.99102837,0.0001549467,0.004117071,0.000026386882,0.00008680331,0.000018444727,0.00017074836,0.000043810007,0.0043534148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994778,0.00008650434,0.000028742928,0.00010461357,0.00018954383,0.000112885784],"domain_scores_gemma":[0.9989655,0.00027346614,0.00027015156,0.00009035353,0.00015928443,0.00024110827],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007259477,0.00052757544,0.00041387085,0.0051807277,0.00072485826,0.0014564069,0.0007959108,0.00040145614,0.004932117],"category_scores_gemma":[0.0017492006,0.00023011366,0.0003889665,0.0014440977,0.0021248548,0.0027071869,0.0013416697,0.000597693,0.00046835977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002867053,0.00009723236,0.02341455,0.00016438465,0.000054965527,0.0009725874,0.0009692818,0.01154538,0.022168983,0.90976065,0.0016977019,0.028867556],"study_design_scores_gemma":[0.00005064048,0.0002453441,0.03651498,0.00011211822,0.00006562083,0.0023479797,0.00085484266,0.0658358,0.01483337,0.8673789,0.0116055105,0.00015486413],"about_ca_topic_score_codex":0.00034332994,"about_ca_topic_score_gemma":0.0004227885,"teacher_disagreement_score":0.0051807277,"about_ca_system_score_codex":0.0006813798,"about_ca_system_score_gemma":0.00016602168,"threshold_uncertainty_score":0.01649952},"labels":[],"label_agreement":null},{"id":"W3037471295","doi":"10.1016/j.aim.2012.10.010","title":"Random polarizations","year":2012,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Symmetrization; Mathematics; Convexity; Rate of convergence; Convergence of random variables; Degeneracy (biology); Convergence (economics); Limit (mathematics); Combinatorics; Applied mathematics; Discrete mathematics; Mathematical analysis; Random variable; Computer science; Statistics","score_opus":0.056660608241403926,"score_gpt":0.3643874741802347,"score_spread":0.3077268659388308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037471295","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1806628,0.00591036,0.39825028,0.02605624,0.0020961827,0.00011470224,0.0017019091,0.0004392646,0.3847683],"genre_scores_gemma":[0.86699593,0.003879161,0.024789423,0.0029459475,0.0034603332,0.00022848307,0.0012196641,0.00028694957,0.096194126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847895,0.0005216106,0.00005040562,0.0003680955,0.000362671,0.00021827215],"domain_scores_gemma":[0.99698037,0.0013499327,0.00034583974,0.00036462452,0.0005770098,0.00038216205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015967664,0.0009140618,0.0011579109,0.0024125895,0.001889805,0.0051693614,0.000866828,0.0021247114,0.016599676],"category_scores_gemma":[0.0065741823,0.0005691962,0.000981949,0.0013561422,0.004042961,0.007063859,0.0034069018,0.0052807904,0.0017866463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000063313723,0.000004443327,0.00006166804,0.000006853658,0.0000031747784,0.000009176624,0.000025193143,0.00016631027,0.00007833138,0.9975464,0.0010302728,0.0010619153],"study_design_scores_gemma":[0.0000051326797,0.0000040119667,0.00010106143,0.000006130513,0.000003404629,0.000040290655,0.0000246402,0.0020117932,0.000079394864,0.9948667,0.002852709,0.0000046299992],"about_ca_topic_score_codex":0.00055775594,"about_ca_topic_score_gemma":0.00034206474,"teacher_disagreement_score":0.016599676,"about_ca_system_score_codex":0.0014827077,"about_ca_system_score_gemma":0.0006902059,"threshold_uncertainty_score":0.0555315},"labels":[],"label_agreement":null},{"id":"W3037540382","doi":"10.1016/j.aim.2021.107768","title":"Multiple phase transitions on compact symbolic systems","year":2021,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; City University of New York; Simons Foundation","keywords":"BETA (programming language); Differentiable function; Ergodic theory; Alphabet; Phase transition; Combinatorics; Inverse; Physics; Function (biology); Interval (graph theory); Mathematics; Mathematical physics; Mathematical analysis; Quantum mechanics; Geometry","score_opus":0.05367145633607881,"score_gpt":0.3784050708529855,"score_spread":0.32473361451690674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037540382","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79410917,0.0021803165,0.1159825,0.0033121607,0.00056753086,0.00006913974,0.00031004255,0.00046092088,0.08300822],"genre_scores_gemma":[0.98136854,0.00038568125,0.008451788,0.00015919111,0.0002478841,0.00005477578,0.0001151319,0.0001053202,0.009111648],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948394,0.00014752688,0.000027381806,0.00007744653,0.00018344772,0.0000801472],"domain_scores_gemma":[0.9978405,0.0012035965,0.00028497563,0.00021563466,0.00020211558,0.0002531162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005613495,0.0006530543,0.0008873009,0.0029070445,0.0012132267,0.002829143,0.00080239127,0.0012441458,0.009160162],"category_scores_gemma":[0.0049324473,0.00044427405,0.0005548978,0.0010392432,0.002710562,0.004828347,0.0024842648,0.0019698443,0.0005832468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038930408,0.000022441445,0.00013918079,0.000045081313,0.000009398482,0.00008289675,0.0001674297,0.0024595005,0.0012387501,0.991836,0.0007009204,0.0032594074],"study_design_scores_gemma":[0.00001817292,0.000012149608,0.00017450254,0.000010887993,0.0000036053327,0.00007560713,0.00005628223,0.017429613,0.00043055805,0.9809753,0.0008063638,0.0000069330968],"about_ca_topic_score_codex":0.00034724895,"about_ca_topic_score_gemma":0.00028154108,"teacher_disagreement_score":0.009160162,"about_ca_system_score_codex":0.0011369734,"about_ca_system_score_gemma":0.00032041068,"threshold_uncertainty_score":0.03064382},"labels":[],"label_agreement":null},{"id":"W3088397607","doi":"10.1016/j.aim.2022.108281","title":"Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan; University of Toronto","funders":"","keywords":"Mathematics; Grassmannian; Affine transformation; Quiver; Pure mathematics; Symplectic geometry; Hamiltonian (control theory); Reduction (mathematics); Lie algebra; Geometry","score_opus":0.02102058842703889,"score_gpt":0.30583556569343734,"score_spread":0.28481497726639843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3088397607","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6793975,0.0020969736,0.08561365,0.0033802711,0.0015034865,0.000121385216,0.00035885492,0.0004518265,0.22707605],"genre_scores_gemma":[0.9391791,0.0008131076,0.013978819,0.00066211366,0.00064037123,0.00007374245,0.00029406903,0.00019755801,0.04416106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996716,0.000072504925,0.000015691765,0.000056010525,0.00009228773,0.000091965376],"domain_scores_gemma":[0.9997346,0.00004810576,0.00004513299,0.00003915255,0.00004000557,0.00009289604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045886263,0.0010838117,0.0008921377,0.0016960108,0.001979032,0.002638854,0.0011917828,0.0011162258,0.010344356],"category_scores_gemma":[0.0009659523,0.0005106481,0.001142041,0.00093712844,0.0031334579,0.0041106106,0.0019518343,0.0026595148,0.0009700079],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011716958,0.000014065137,0.00004202095,0.000011603412,0.000004367194,0.000045962468,0.00010368436,0.00036281528,0.00051048346,0.99738353,0.00041388025,0.0010959015],"study_design_scores_gemma":[0.000013005502,0.0000114714285,0.00011667039,0.0000050733074,0.0000034533232,0.00005263041,0.000073073985,0.0018685242,0.0001852101,0.99678683,0.00087632483,0.000007692927],"about_ca_topic_score_codex":0.0023169718,"about_ca_topic_score_gemma":0.0027837947,"teacher_disagreement_score":0.010344356,"about_ca_system_score_codex":0.0016585025,"about_ca_system_score_gemma":0.00085899106,"threshold_uncertainty_score":0.034605324},"labels":[],"label_agreement":null},{"id":"W3091333055","doi":"10.1016/j.aim.2023.109072","title":"Differential geometry of weightings","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Submanifold; Tangent; Differential (mechanical device); Multiplicative function; Pure mathematics; Differential geometry; Tangent bundle; Deformation (meteorology); Tangent space; Geometry; Algebra over a field; Mathematical analysis","score_opus":0.022166324198815417,"score_gpt":0.3290537882513528,"score_spread":0.30688746405253736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091333055","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3949001,0.002519116,0.342739,0.00459497,0.0005590991,0.000052728432,0.00045356606,0.00028285218,0.25389862],"genre_scores_gemma":[0.9154505,0.00086053566,0.015806533,0.00039857402,0.00041525334,0.000038546765,0.00020982862,0.00012761545,0.06669265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935895,0.00013526637,0.00003357228,0.00015661707,0.00021249765,0.000103007245],"domain_scores_gemma":[0.99911433,0.0001781939,0.00010821477,0.00010882039,0.0002801553,0.00021022421],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000838537,0.00059563067,0.0007364328,0.0024320856,0.001487154,0.0030946292,0.0008944618,0.0008067153,0.008135906],"category_scores_gemma":[0.0020501972,0.00041313158,0.000534228,0.0014672008,0.002689791,0.005637678,0.0023183962,0.0017690269,0.00081207365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000034434859,0.0000032928865,0.000053805572,0.0000042236525,0.000001941253,0.0000112057005,0.00005421232,0.00012442161,0.00019270943,0.9981583,0.00021918167,0.001173185],"study_design_scores_gemma":[0.000004675786,0.0000067327974,0.00017235098,0.000003990409,0.0000032122261,0.0000487038,0.000057227087,0.0014355222,0.00020574371,0.9938269,0.0042303363,0.000004531076],"about_ca_topic_score_codex":0.001766019,"about_ca_topic_score_gemma":0.0011562483,"teacher_disagreement_score":0.008135906,"about_ca_system_score_codex":0.0017892987,"about_ca_system_score_gemma":0.00048179182,"threshold_uncertainty_score":0.027217329},"labels":[],"label_agreement":null},{"id":"W3100625563","doi":"10.1016/j.aim.2021.107602","title":"Discretization of integrals on compact metric measure spaces","year":2021,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Measure (data warehouse); Discretization; Metric (unit); Metric space; Compact space; Mathematical analysis; Pure mathematics; Algebra over a field","score_opus":0.05734892797190508,"score_gpt":0.39407806908222903,"score_spread":0.3367291411103239,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100625563","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09405624,0.002384201,0.8771259,0.0009472137,0.0005069663,0.000045533332,0.00019463856,0.00016240808,0.024576947],"genre_scores_gemma":[0.78471744,0.0021579212,0.18639755,0.0002681139,0.00037259035,0.00011207394,0.00046072787,0.0002854835,0.025228152],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929345,0.00023547094,0.000046698115,0.00007350626,0.00028627896,0.000064546424],"domain_scores_gemma":[0.99858654,0.00069884735,0.00013399747,0.00015319054,0.00024356034,0.000183819],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013482705,0.00073327444,0.001115427,0.0016105045,0.000639224,0.0030775357,0.0014938747,0.0012488051,0.0029118627],"category_scores_gemma":[0.0037666052,0.00048582527,0.0007823175,0.0010122288,0.0021862658,0.0032722529,0.0017943991,0.0022290067,0.000339679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027609969,0.000038024074,0.00017046068,0.00006570541,0.000019435713,0.000053975633,0.00014350342,0.027064104,0.0013702029,0.96431166,0.000688865,0.0060464465],"study_design_scores_gemma":[0.00001541268,0.000022518927,0.00017196128,0.000027722697,0.00000806838,0.000060213853,0.0000750613,0.31924385,0.00054011005,0.67730427,0.0025169353,0.000013747872],"about_ca_topic_score_codex":0.0013906686,"about_ca_topic_score_gemma":0.0014160736,"teacher_disagreement_score":0.0030775357,"about_ca_system_score_codex":0.0017966673,"about_ca_system_score_gemma":0.00078576436,"threshold_uncertainty_score":0.013035774},"labels":[],"label_agreement":null},{"id":"W3111749679","doi":"10.1016/j.aim.2022.108234","title":"Global dynamics in nonconservative nonlinear Schrödinger equations","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Zero (linguistics); Manifold (fluid mechanics); Nonlinear system; Flow (mathematics); Center manifold; Quadratic equation; Limiting; Mathematical analysis; Stable manifold; Heteroclinic orbit; Convergence (economics); Invariant manifold; Applied mathematics; Homoclinic orbit; Physics; Geometry; Bifurcation","score_opus":0.03439403898623176,"score_gpt":0.3578429205257508,"score_spread":0.323448881539519,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3111749679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7182481,0.0005507563,0.2551355,0.00058442645,0.000047218182,0.000045656623,0.000065564265,0.00017711116,0.02514566],"genre_scores_gemma":[0.9850675,0.00019945891,0.008815375,0.000041795625,0.00002086385,0.000035024477,0.000036138033,0.000034781722,0.0057491492],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998944,0.00003065045,0.0000041270323,0.000019116247,0.000034660607,0.00001695692],"domain_scores_gemma":[0.9997465,0.00010128698,0.00005488386,0.000024880574,0.000046810266,0.000025578436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031576247,0.00036786438,0.00039076476,0.00039310442,0.00047549407,0.0005355166,0.0004313286,0.00040877037,0.0013884943],"category_scores_gemma":[0.00083565625,0.00014676845,0.0003388439,0.00017668516,0.0012755886,0.0012765956,0.0009654252,0.00047372223,0.00012991235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050226525,0.00004388082,0.0018342576,0.00009937145,0.000037038782,0.00063579506,0.00058882916,0.1426131,0.03057,0.8159214,0.00054549327,0.007060608],"study_design_scores_gemma":[0.000023897064,0.00007698604,0.0017400099,0.000013838002,0.000011932049,0.00025289808,0.00017601487,0.6871027,0.003911089,0.30530974,0.0013577446,0.000023140388],"about_ca_topic_score_codex":0.0009564625,"about_ca_topic_score_gemma":0.0006975237,"teacher_disagreement_score":0.0013884943,"about_ca_system_score_codex":0.00048427403,"about_ca_system_score_gemma":0.00031588017,"threshold_uncertainty_score":0.00464499},"labels":[],"label_agreement":null},{"id":"W3119153104","doi":"10.1016/j.aim.2021.107580","title":"Singular integrals along lacunary directions in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>","year":2021,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Eusko Jaurlaritza; European Regional Development Fund; Ikerbasque, Basque Foundation for Science; Albert Ellis Institute; Division of Mathematical Sciences; National Science Foundation","keywords":"Lacunary function; Mathematics; Pure mathematics","score_opus":0.02916228563571289,"score_gpt":0.2964436225596593,"score_spread":0.2672813369239464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3119153104","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.055244897,0.0031857109,0.40369466,0.0038272832,0.0027332008,0.00008122807,0.0014908168,0.002653839,0.52708834],"genre_scores_gemma":[0.47239846,0.003968365,0.12293455,0.001604309,0.0018477744,0.00012242183,0.0030822153,0.007419548,0.38662234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994272,0.00009149854,0.000039469847,0.00012497463,0.00025090607,0.000065997636],"domain_scores_gemma":[0.9991721,0.00020219237,0.00008897962,0.00013306539,0.00028022067,0.00012345011],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007807799,0.0008247296,0.00061205245,0.0030529,0.0014988562,0.0040697707,0.0007857914,0.0008087114,0.039934155],"category_scores_gemma":[0.0029669083,0.00040709975,0.0009288524,0.0015231096,0.00150857,0.004913515,0.001419858,0.0031107483,0.010407229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038606406,0.000015435222,0.00014197554,0.00006794731,0.000009386081,0.00012672687,0.00025672506,0.00062043424,0.0016273827,0.9626614,0.019959029,0.014475016],"study_design_scores_gemma":[0.0000131794895,0.000020121808,0.0005378362,0.000054305365,0.000015393358,0.0002909254,0.00022540569,0.009216777,0.0035041606,0.9184651,0.067627795,0.000028992874],"about_ca_topic_score_codex":0.0019011996,"about_ca_topic_score_gemma":0.002229044,"teacher_disagreement_score":0.039934155,"about_ca_system_score_codex":0.0013509092,"about_ca_system_score_gemma":0.00061761285,"threshold_uncertainty_score":0.13359308},"labels":[],"label_agreement":null},{"id":"W3129597238","doi":"10.1016/j.aim.2023.108939","title":"Late-time tails and mode coupling of linear waves on Kerr spacetimes","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Schwarzschild radius; Null (SQL); Spacetime; Kerr metric; Physics; Scalar (mathematics); Rotating black hole; Coupling (piping); Infinity; Event horizon; Schwarzschild metric; Classical mechanics; Mathematical physics; Mathematics; Quantum mechanics; Mathematical analysis; Angular momentum; Geometry","score_opus":0.007578001072460254,"score_gpt":0.27712230864561654,"score_spread":0.2695443075731563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3129597238","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83537763,0.001005735,0.12631759,0.0010631506,0.00014293975,0.000044939956,0.000148338,0.00044232197,0.03545746],"genre_scores_gemma":[0.97845185,0.00039634624,0.005915471,0.00019018733,0.00020703454,0.00003359869,0.00013703748,0.00016529625,0.014503247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997503,0.00009293978,0.000011672418,0.000037995917,0.000051297102,0.000055868226],"domain_scores_gemma":[0.99643743,0.0013181156,0.0006851546,0.00030450206,0.00038589444,0.0008689165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014756058,0.0011389897,0.00072709913,0.002098084,0.0010796974,0.0019215608,0.0017583309,0.0012532574,0.0052097067],"category_scores_gemma":[0.0071118665,0.00070472056,0.0006058147,0.0007457941,0.0026345293,0.0049217255,0.0021305983,0.0023873458,0.00056026067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015012782,0.00006724661,0.0011603603,0.000051732193,0.000016660328,0.00020916245,0.0005605132,0.0068561453,0.0057769036,0.9820765,0.00058679574,0.002487745],"study_design_scores_gemma":[0.000039656683,0.000059875696,0.002510262,0.0000257909,0.000009824755,0.00018304584,0.00016683528,0.07789464,0.0008197394,0.91774875,0.0005025868,0.000038971477],"about_ca_topic_score_codex":0.00089529564,"about_ca_topic_score_gemma":0.00057891663,"teacher_disagreement_score":0.0052097067,"about_ca_system_score_codex":0.0008038469,"about_ca_system_score_gemma":0.0004245069,"threshold_uncertainty_score":0.01742822},"labels":[],"label_agreement":null},{"id":"W3154723035","doi":"10.1016/j.aim.2022.108638","title":"Cohomology of the moduli stack of algebraic vector bundles","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Väisälän Rahasto; H2020 Marie Skłodowska-Curie Actions; Horizon 2020; Suomalainen Tiedeakatemia; European Commission","keywords":"Mathematics; Vector bundle; Stack (abstract data type); Chern class; Pure mathematics; Sheaf; Moduli; Multiplicative function; Rank (graph theory); Cohomology; Scheme (mathematics); Tautological line bundle; Moduli space; Algebra over a field; Combinatorics; Mathematical analysis; Normal bundle; Frame bundle","score_opus":0.01881969697415757,"score_gpt":0.28983479830633707,"score_spread":0.2710151013321795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3154723035","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9192824,0.00062597805,0.024774529,0.00053007645,0.00011019053,0.00004181631,0.00037695564,0.00017287195,0.054085076],"genre_scores_gemma":[0.986416,0.0002345949,0.0022656224,0.00004019233,0.00008958953,0.000014719147,0.00026920636,0.00002585812,0.0106441565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995023,0.0000571613,0.000019362784,0.00009721212,0.0001678333,0.00015598006],"domain_scores_gemma":[0.9995925,0.000073550276,0.0000801744,0.00003287741,0.000067602006,0.00015336987],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045691594,0.00049328536,0.00043427682,0.0024001913,0.0009849309,0.0021180573,0.00058668375,0.0003464494,0.008207939],"category_scores_gemma":[0.0006930276,0.00028912863,0.00030371695,0.00087748707,0.0019495849,0.0031203122,0.0024204426,0.00090234255,0.0006993962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000730181,0.00004601528,0.0036550283,0.00007979859,0.000024245852,0.0005504207,0.00091966346,0.0015231011,0.0075528882,0.97294044,0.0008555965,0.01177971],"study_design_scores_gemma":[0.000052424963,0.00019927452,0.024043573,0.000088568806,0.000058797057,0.00180745,0.0011821665,0.020477671,0.012073087,0.9184318,0.021505568,0.00007954066],"about_ca_topic_score_codex":0.0008766677,"about_ca_topic_score_gemma":0.00052774744,"teacher_disagreement_score":0.008207939,"about_ca_system_score_codex":0.00105715,"about_ca_system_score_gemma":0.00039779345,"threshold_uncertainty_score":0.02745831},"labels":[],"label_agreement":null},{"id":"W3155314686","doi":"10.1016/j.aim.2023.109101","title":"Monge solutions and uniqueness in multi-marginal optimal transport via graph theory","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Uniqueness; Mathematics; Graph; Combinatorics; Discrete mathematics; Mathematical analysis","score_opus":0.043023617176279866,"score_gpt":0.32371894915091115,"score_spread":0.28069533197463126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3155314686","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23047076,0.0028741504,0.717732,0.0074274023,0.0005408912,0.00012869126,0.00034297988,0.00024645295,0.040236518],"genre_scores_gemma":[0.85956955,0.0020376141,0.09565846,0.00093082205,0.0007090285,0.00022162296,0.00029583919,0.00029399557,0.040283117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992606,0.00037072893,0.00003534699,0.00012961615,0.000106904015,0.000096789954],"domain_scores_gemma":[0.99628156,0.0021229954,0.00041364005,0.00022943673,0.0004288434,0.0005234416],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026496928,0.0011398097,0.002244827,0.002873569,0.0022902524,0.0036846988,0.002311908,0.003409963,0.0061080637],"category_scores_gemma":[0.010920267,0.0011950595,0.0020397294,0.0013231322,0.005417678,0.0073849554,0.0056244913,0.0038180107,0.00046510578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001636525,0.00001470887,0.00010444799,0.00003192813,0.000014981836,0.000023377263,0.0000814391,0.0067028515,0.00018352234,0.9912922,0.00045567914,0.0010786228],"study_design_scores_gemma":[0.000010752523,0.000009219637,0.000084438776,0.000011952895,0.0000053014705,0.000021542066,0.000052253927,0.04809819,0.00006128101,0.9510673,0.00056610204,0.000011668503],"about_ca_topic_score_codex":0.0028511605,"about_ca_topic_score_gemma":0.0024899642,"teacher_disagreement_score":0.0061080637,"about_ca_system_score_codex":0.0024589987,"about_ca_system_score_gemma":0.0017531835,"threshold_uncertainty_score":0.020433545},"labels":[],"label_agreement":null},{"id":"W3162175594","doi":"10.1016/j.aim.2021.107770","title":"Complete classification of rational solutions of A2-Painlevé systems","year":2021,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Junta de Andalucía; Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España","keywords":"Mathematics; Monodromy; Wronskian; Pure mathematics; Hermite polynomials; Gravitational singularity; Representation (politics); Quadratic equation; Order (exchange); Group (periodic table); Integer (computer science); Sequence (biology); Hypergeometric distribution; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.03883389240193786,"score_gpt":0.3071536903692555,"score_spread":0.26831979796731764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3162175594","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71427137,0.0018977091,0.123291254,0.0037445594,0.00046362443,0.00010351604,0.001117864,0.0003967585,0.15471333],"genre_scores_gemma":[0.944171,0.0010247685,0.014919718,0.00047151084,0.00045473178,0.00010447042,0.0016309927,0.00014598925,0.037076805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947757,0.000094198316,0.000038397335,0.00006826993,0.00017278726,0.00014890806],"domain_scores_gemma":[0.99907935,0.0003009739,0.0001404941,0.00007042565,0.00020391557,0.00020479686],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074692996,0.0011478371,0.0011119255,0.0025227678,0.0017863171,0.004115607,0.0012101722,0.0020087354,0.012135542],"category_scores_gemma":[0.0022070063,0.00045144488,0.00087973493,0.0012241004,0.0019967936,0.0033927683,0.0022422737,0.0029553308,0.0016986981],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060418522,0.00003530256,0.0003800769,0.000060355287,0.000012528222,0.000094881594,0.00021945492,0.0015533098,0.002179398,0.9865035,0.0025465495,0.00635421],"study_design_scores_gemma":[0.000045946723,0.000031433294,0.0006640196,0.000026407612,0.000006773762,0.00013635574,0.00013752484,0.014168481,0.0005765203,0.98008657,0.004098029,0.000022032089],"about_ca_topic_score_codex":0.0007968146,"about_ca_topic_score_gemma":0.00048020587,"teacher_disagreement_score":0.012135542,"about_ca_system_score_codex":0.0011844294,"about_ca_system_score_gemma":0.00072376383,"threshold_uncertainty_score":0.04059744},"labels":[],"label_agreement":null},{"id":"W3165440316","doi":"10.1016/j.aim.2022.108536","title":"Schur functions in noncommuting variables","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Noncommutative geometry; Schur algebra; Symmetric function; Schur product theorem; Schur's theorem; Schur's lemma; Schur polynomial; Schur complement; Schur decomposition; Pure mathematics; Combinatorics; Algebra over a field; Macdonald polynomials; Orthogonal polynomials","score_opus":0.027679937257632767,"score_gpt":0.3257091046721031,"score_spread":0.29802916741447033,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3165440316","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43138573,0.005797371,0.219289,0.005127455,0.0030424078,0.00011126139,0.0004715603,0.00042877762,0.33434638],"genre_scores_gemma":[0.89842236,0.0023620336,0.023246415,0.0007254039,0.0023371961,0.00010600052,0.00023332186,0.00019547697,0.07237191],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891293,0.0003772166,0.00005793853,0.00015145703,0.0003270664,0.00017327828],"domain_scores_gemma":[0.998276,0.00078417355,0.00021055363,0.00016671116,0.00028801014,0.0002746174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018327319,0.0016870856,0.0013010355,0.0051039136,0.0026803203,0.004467667,0.0015002948,0.0011735047,0.011724528],"category_scores_gemma":[0.003150906,0.0007104665,0.0009028182,0.0037575376,0.0058043506,0.008604713,0.0026923453,0.0031194657,0.0019090772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005604369,0.000005776797,0.000025490152,0.000010119585,0.0000021142994,0.000025900601,0.000069566515,0.0001062799,0.00009908038,0.9982351,0.00028698007,0.0011278098],"study_design_scores_gemma":[0.000005426017,0.0000066461425,0.000084049294,0.000004788416,0.0000030968508,0.00004121459,0.000036203044,0.00095188984,0.00013735656,0.99709237,0.001629426,0.0000075611983],"about_ca_topic_score_codex":0.0009090084,"about_ca_topic_score_gemma":0.001199023,"teacher_disagreement_score":0.011724528,"about_ca_system_score_codex":0.0015171812,"about_ca_system_score_gemma":0.0009963205,"threshold_uncertainty_score":0.03922248},"labels":[],"label_agreement":null},{"id":"W3186186152","doi":"10.1016/j.aim.2023.108863","title":"Likelihood degenerations","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":32,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Moduli space; Variety (cybernetics); Monomial; Algebraic geometry; Bounded function; Affine space; Algebra over a field; Affine transformation; Algebraic variety; Point (geometry); Affine variety; Algebraic number; Pure mathematics; Geometry; Mathematical analysis","score_opus":0.014067346740571373,"score_gpt":0.27550840748425737,"score_spread":0.261441060743686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3186186152","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.026098635,0.0018641036,0.8949222,0.0056045535,0.0008007239,0.00010240516,0.00088763714,0.0014220269,0.06829782],"genre_scores_gemma":[0.5870857,0.002503721,0.20099263,0.0026429414,0.00301823,0.000422723,0.0029193184,0.002439519,0.19797528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996536,0.0015050033,0.00019168251,0.00071050756,0.0008314748,0.00022528476],"domain_scores_gemma":[0.9865546,0.007215973,0.0008987132,0.0025244993,0.001830871,0.00097524904],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0061432724,0.0012122351,0.0017837969,0.004615358,0.0019790726,0.005276664,0.0016888726,0.0032431737,0.02878254],"category_scores_gemma":[0.04761044,0.0011501932,0.0018647965,0.0017964416,0.0036091374,0.008190133,0.0057852687,0.00566328,0.008903298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006014887,0.000019626204,0.0008159505,0.0000730475,0.00003571906,0.00016480783,0.00015563297,0.005423793,0.000628621,0.96043235,0.006188102,0.026002346],"study_design_scores_gemma":[0.000012451082,0.000017508875,0.00040585562,0.00003410853,0.0000130526905,0.00032739132,0.000035529007,0.032047175,0.0005682942,0.9581753,0.008343375,0.000020079653],"about_ca_topic_score_codex":0.0009215104,"about_ca_topic_score_gemma":0.0008300545,"teacher_disagreement_score":0.02878254,"about_ca_system_score_codex":0.0021631885,"about_ca_system_score_gemma":0.0011455646,"threshold_uncertainty_score":0.09628719},"labels":[],"label_agreement":null},{"id":"W3189884534","doi":"10.1016/j.aim.2023.109059","title":"Regularity of Hamiltonian stationary equations in symplectic manifolds","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Symplectic geometry; Submanifold; Symplectic manifold; Hamiltonian (control theory); Lagrangian; Symplectomorphism; Nonlinear system; Mathematical analysis; Pure mathematics; Manifold (fluid mechanics); Hamiltonian system; Order (exchange); Hamiltonian mechanics; Phase space; Mathematical optimization","score_opus":0.041563774052821176,"score_gpt":0.34735538758413,"score_spread":0.3057916135313088,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3189884534","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8250492,0.0019837695,0.119122356,0.004442596,0.00035453646,0.00006216203,0.0003811848,0.00014756872,0.04845648],"genre_scores_gemma":[0.9700789,0.00109833,0.009975323,0.00028440394,0.00052154175,0.000047817364,0.00040420872,0.000091054535,0.017498467],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999506,0.00018885487,0.00003041334,0.00008359327,0.00011725941,0.00007395676],"domain_scores_gemma":[0.9976521,0.0010142652,0.00038024792,0.00017122338,0.0003417155,0.0004404803],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013728857,0.0007575275,0.0010598731,0.0030835543,0.001109344,0.0022355726,0.0013043998,0.0011891831,0.003997887],"category_scores_gemma":[0.0058617364,0.0005568104,0.0008384654,0.0010535251,0.0031172954,0.004331251,0.0022103912,0.0020471653,0.00031615014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031715535,0.00003299888,0.0006473089,0.000029872966,0.000014691592,0.00006401926,0.00026381825,0.0030804693,0.00092725095,0.9916841,0.00081556966,0.0024081804],"study_design_scores_gemma":[0.000016482918,0.000020041038,0.0007521161,0.000011604727,0.0000058857136,0.000043931654,0.00010450681,0.027086765,0.00017186294,0.97100735,0.00076929847,0.000010137995],"about_ca_topic_score_codex":0.0018721777,"about_ca_topic_score_gemma":0.0019326297,"teacher_disagreement_score":0.003997887,"about_ca_system_score_codex":0.001419178,"about_ca_system_score_gemma":0.00072920515,"threshold_uncertainty_score":0.013374269},"labels":[],"label_agreement":null},{"id":"W3195842353","doi":"10.1016/j.aim.2021.108035","title":"The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:msup> <mml:mrow> <mml:mi mathvariant=\"double-struck\">P</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>n</mml:mi> </mml:mrow> </mml:msup> </mml:math>","year":2021,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii; Agence Nationale de la Recherche; Ontario Ministry of Research, Innovation and Science; National Sleep Foundation; Corporation for National and Community Service; National Science Foundation","keywords":"Mathematics; Hypersurface; Polynomial; Combinatorics; Degree (music); Bounded function; Hessian matrix; Ideal (ethics); Algebra over a field; Pure mathematics; Mathematical analysis","score_opus":0.01722815847805714,"score_gpt":0.25846178184088425,"score_spread":0.2412336233628271,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3195842353","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30446655,0.0012943128,0.22294003,0.0058630337,0.0010834734,0.00012939036,0.0025660456,0.001104169,0.46055293],"genre_scores_gemma":[0.8439097,0.0007010004,0.021514768,0.00028424567,0.0005417247,0.00003995656,0.0015403474,0.0005085122,0.13095981],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996582,0.000043133732,0.000010375648,0.00006602574,0.00015474591,0.00006742784],"domain_scores_gemma":[0.99971884,0.000047892063,0.00003119744,0.000032731703,0.000095727,0.00007355775],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024218364,0.00041106108,0.00039275346,0.0012903664,0.00079450896,0.0017740983,0.0005974606,0.00035023503,0.02031182],"category_scores_gemma":[0.0009127254,0.00020014853,0.00043551016,0.0006334568,0.0016695507,0.0020712635,0.0008690374,0.0016131357,0.004639866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004214001,0.000029209305,0.00025787362,0.000040890543,0.000007477856,0.00014828448,0.00025572826,0.0019190178,0.0027913132,0.97217494,0.009861719,0.012471333],"study_design_scores_gemma":[0.000035279096,0.000058439018,0.002066189,0.000025218125,0.00001400303,0.0004255709,0.00031289997,0.025760582,0.004336462,0.9212505,0.04566782,0.000046937497],"about_ca_topic_score_codex":0.0066853077,"about_ca_topic_score_gemma":0.0040966985,"teacher_disagreement_score":0.02031182,"about_ca_system_score_codex":0.0013881464,"about_ca_system_score_gemma":0.0008772405,"threshold_uncertainty_score":0.06794983},"labels":[],"label_agreement":null},{"id":"W3197151720","doi":"10.1016/j.aim.2024.109491","title":"Springer fibers and the Delta Conjecture at t = 0","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Simons Foundation; National Science Foundation","keywords":"Delta; Conjecture; Computer science; Combinatorics; Mathematics; Engineering; Aerospace engineering","score_opus":0.012666847947375473,"score_gpt":0.30669105642975936,"score_spread":0.29402420848238386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3197151720","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96131027,0.0001394303,0.007590518,0.00080002594,0.000060287446,0.000011243285,0.00006695377,0.00008328726,0.029937968],"genre_scores_gemma":[0.9929173,0.00009175813,0.0014761288,0.00007680333,0.00004389564,0.000009881932,0.00006796039,0.00001612868,0.0053001703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997907,0.000027344693,0.000008353741,0.00004722685,0.00004600372,0.000080392136],"domain_scores_gemma":[0.9996872,0.00005020638,0.000057754798,0.000046086774,0.00003928515,0.0001194396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004361009,0.0002602899,0.0002565623,0.00082296017,0.0013538426,0.0016286395,0.00037229666,0.0006003472,0.003654101],"category_scores_gemma":[0.00076224597,0.00017190955,0.00032150888,0.00034855775,0.001994107,0.0028318965,0.0014759684,0.0010115134,0.00022375211],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006611891,0.000030180756,0.0032629773,0.000017552578,0.0000035447024,0.00044616289,0.00055517425,0.001195341,0.0020999736,0.9874247,0.0008178651,0.004080543],"study_design_scores_gemma":[0.000056905563,0.00007896473,0.0049412157,0.000027139778,0.000009054278,0.00053652807,0.0010288797,0.008434609,0.0036696962,0.9752295,0.005962802,0.000024765499],"about_ca_topic_score_codex":0.0016159713,"about_ca_topic_score_gemma":0.0011527154,"teacher_disagreement_score":0.003654101,"about_ca_system_score_codex":0.00092230056,"about_ca_system_score_gemma":0.0004626318,"threshold_uncertainty_score":0.012224138},"labels":[],"label_agreement":null},{"id":"W3200461342","doi":"10.1016/j.aim.2021.108041","title":"An Asplund space with norming Markuševič basis that is not weakly compactly generated","year":2021,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni; Chinese Academy of Agricultural Sciences; Centre National de la Recherche Scientifique; Grantová Agentura České Republiky; Ministerstvo Školství, Mládeže a Tělovýchovy; Università degli Studi di Milano; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Mathematics; Construct (python library); Basis (linear algebra); Space (punctuation); Banach space; Pure mathematics; Algebra over a field; Geometry; Computer science","score_opus":0.03512784791974181,"score_gpt":0.3311424243250173,"score_spread":0.29601457640527545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3200461342","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7524419,0.00095132296,0.16574283,0.0022209005,0.00048709096,0.00005855028,0.0006212554,0.00023830272,0.07723791],"genre_scores_gemma":[0.9560771,0.00032488265,0.016656501,0.00021513412,0.000120989294,0.00004547235,0.0006158496,0.00006209823,0.025881985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994547,0.00006980338,0.000025200568,0.00010784298,0.00022754779,0.00011490383],"domain_scores_gemma":[0.9991912,0.0001663378,0.00013897473,0.0000543115,0.0002127306,0.00023643058],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005420581,0.000922839,0.0012023556,0.0014465069,0.0017544482,0.0031863567,0.0009901762,0.0014415036,0.0023249649],"category_scores_gemma":[0.0011577135,0.0004480413,0.0007622579,0.000891435,0.002627918,0.0032180273,0.0025722808,0.0029427274,0.00043621482],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011958762,0.000049759055,0.0003131127,0.000046403766,0.000023072305,0.00022620708,0.00019238706,0.0021448997,0.0049920734,0.98896676,0.00058336597,0.0023423242],"study_design_scores_gemma":[0.000040804767,0.00014185194,0.000758554,0.000019566973,0.000022669681,0.00060117105,0.0003980357,0.019430319,0.003496902,0.9695095,0.0055445493,0.00003604853],"about_ca_topic_score_codex":0.0013539612,"about_ca_topic_score_gemma":0.00094699906,"teacher_disagreement_score":0.0031863567,"about_ca_system_score_codex":0.0014392732,"about_ca_system_score_gemma":0.0014933442,"threshold_uncertainty_score":0.010442734},"labels":[],"label_agreement":null},{"id":"W3203990583","doi":"10.1016/j.aim.2023.108858","title":"Degenerations of bundle moduli","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Moduli space; Mathematics; Symplectic geometry; Moduli of algebraic curves; Pure mathematics; Holomorphic function; Quotient; Modular equation; Geometric invariant theory; Mathematical analysis; Space (punctuation); Moduli; Vector bundle; Geometry; Physics","score_opus":0.03683577723477098,"score_gpt":0.3363840396844719,"score_spread":0.2995482624497009,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3203990583","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5352086,0.005837998,0.09346468,0.0066707702,0.0019918554,0.00012070464,0.00055554986,0.00071964186,0.35543016],"genre_scores_gemma":[0.93439305,0.0015113393,0.008087538,0.0004112007,0.0012258333,0.00004558999,0.00027465535,0.00017072076,0.05388014],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990582,0.00023293613,0.00006046841,0.00016054921,0.00031175057,0.00017604955],"domain_scores_gemma":[0.9987281,0.00028994554,0.00019967825,0.00018346518,0.00023682637,0.00036197982],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012276242,0.0010167201,0.0013202741,0.005678417,0.0035632995,0.0044829696,0.0010682076,0.0016859873,0.011596357],"category_scores_gemma":[0.0032357876,0.00073688553,0.0011041063,0.0020702712,0.0045440863,0.00884651,0.0050641554,0.003183143,0.0014745536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018432112,0.000010390117,0.00014493098,0.00001496094,0.0000053265167,0.00006919577,0.00023540108,0.00015531796,0.0002828568,0.99701536,0.00053137384,0.0015164582],"study_design_scores_gemma":[0.0000130393555,0.000017036395,0.00035721296,0.00001417374,0.0000076390015,0.00018996782,0.0001280395,0.0008484632,0.00023181773,0.994451,0.0037332634,0.000008316285],"about_ca_topic_score_codex":0.0006937284,"about_ca_topic_score_gemma":0.00053531677,"teacher_disagreement_score":0.011596357,"about_ca_system_score_codex":0.001973023,"about_ca_system_score_gemma":0.00050152146,"threshold_uncertainty_score":0.038793683},"labels":[],"label_agreement":null},{"id":"W320912550","doi":"10.1016/j.aim.2015.04.024","title":"Twistor spaces of hypercomplex manifolds are balanced","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Hypercomplex number; Twistor space; Mathematics; Twistor theory; Hermitian matrix; Hermitian manifold; Pure mathematics; Manifold (fluid mechanics); Differentiable function; Metric (unit); Complex dimension; Space (punctuation); Algebra over a field; Mathematical analysis; Quaternion; Geometry; Computer science; Ricci curvature","score_opus":0.07809227482388412,"score_gpt":0.3441120849870268,"score_spread":0.2660198101631427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W320912550","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5774137,0.0019296174,0.20763786,0.0048378804,0.0013257785,0.00015007766,0.0013939356,0.0005978665,0.20471331],"genre_scores_gemma":[0.9246603,0.0014245869,0.017944153,0.0006737206,0.0010625608,0.00013464212,0.000930326,0.0003401526,0.052829586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991347,0.0001804894,0.000044299723,0.0001892274,0.00027984913,0.00017139789],"domain_scores_gemma":[0.99878556,0.00019186182,0.0003010817,0.00012094297,0.0002682252,0.00033226045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009482138,0.001619214,0.00086223264,0.004422976,0.0016534604,0.0053537786,0.0010177948,0.0012694873,0.012764065],"category_scores_gemma":[0.002418576,0.00057647517,0.0005922946,0.0021999434,0.002754066,0.0071537676,0.002797933,0.0026946268,0.0020989329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029598468,0.000008802755,0.00014528807,0.000015646045,0.0000052723603,0.000030157387,0.00011181473,0.00030507887,0.0007107302,0.99394155,0.00089464063,0.0038014068],"study_design_scores_gemma":[0.000012384563,0.000015260419,0.0002388133,0.0000090682515,0.0000056189438,0.00006599619,0.00011322691,0.0021344656,0.00036360475,0.9929811,0.004050054,0.000010388972],"about_ca_topic_score_codex":0.0009829439,"about_ca_topic_score_gemma":0.0009395723,"teacher_disagreement_score":0.012764065,"about_ca_system_score_codex":0.0019263201,"about_ca_system_score_gemma":0.00061033835,"threshold_uncertainty_score":0.042700052},"labels":[],"label_agreement":null},{"id":"W3214996767","doi":"10.1016/j.aim.2021.108077","title":"Representations of the elliptic affine Hecke algebras","year":2021,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fondation Sciences Mathématiques de Paris; Australian Research Council; Centre National de la Recherche Scientifique; Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Pure mathematics; Affine transformation; Type (biology); Equivariant map; Supersingular elliptic curve; Variety (cybernetics); Modular elliptic curve; Elliptic curve; Algebra over a field; Hecke algebra; Affine representation; Quarter period; Affine Lie algebra","score_opus":0.024287154867632756,"score_gpt":0.3399954147653592,"score_spread":0.31570825989772644,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3214996767","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6055995,0.0026715929,0.087190896,0.003686081,0.0007590085,0.00009418771,0.0005294299,0.00044623087,0.29902306],"genre_scores_gemma":[0.9348483,0.0010238463,0.007302373,0.0003160069,0.00066661177,0.000034603305,0.000261091,0.000072001,0.05547517],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995369,0.00009292171,0.000021757487,0.00006582158,0.00017668438,0.00010591771],"domain_scores_gemma":[0.9994875,0.00009015968,0.00009365526,0.000081668644,0.000098394565,0.00014853665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007426617,0.00060729514,0.0005782163,0.0017810769,0.001380057,0.0031393152,0.00071536266,0.00086819485,0.01213485],"category_scores_gemma":[0.0017252859,0.00036670282,0.0005488848,0.0014265215,0.002199364,0.0036910358,0.0015307998,0.0021017722,0.0014471427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017535978,0.000020592597,0.000108353175,0.000013138515,0.000003100892,0.000038283404,0.00018900607,0.00045343896,0.0006088891,0.994522,0.000546659,0.0034789771],"study_design_scores_gemma":[0.000018044762,0.000015751235,0.00028873354,0.000010158148,0.0000041505996,0.00009463521,0.00013439053,0.0027825886,0.0004655046,0.9928295,0.0033437076,0.000012789576],"about_ca_topic_score_codex":0.0007660606,"about_ca_topic_score_gemma":0.00050896726,"teacher_disagreement_score":0.01213485,"about_ca_system_score_codex":0.0009386047,"about_ca_system_score_gemma":0.0005913822,"threshold_uncertainty_score":0.040595114},"labels":[],"label_agreement":null},{"id":"W345119261","doi":"10.1016/j.aim.2015.11.042","title":"Generalized translation invariant valuations and the polytope algebra","year":2015,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Deutsche Forschungsgemeinschaft","keywords":"Subalgebra; Polytope; Mathematics; Invariant (physics); Multivector; Algebra over a field; Convolution (computer science); Vector space; Pure mathematics; Discrete mathematics; Division algebra; Computer science","score_opus":0.09514666691171135,"score_gpt":0.37527132188041495,"score_spread":0.2801246549687036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W345119261","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43343115,0.005167582,0.31298813,0.00600279,0.001482286,0.00008426683,0.0009306896,0.00044382704,0.23946932],"genre_scores_gemma":[0.94265676,0.001914004,0.017185006,0.0005657663,0.0011689053,0.00005612928,0.00046725158,0.00014892741,0.035837274],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991534,0.00020317611,0.000039630246,0.0001904857,0.00026531276,0.00014801406],"domain_scores_gemma":[0.9993476,0.0001778735,0.00011711176,0.00009935336,0.00012647256,0.00013147554],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092913833,0.00082101655,0.00095674914,0.001654306,0.0014312406,0.0038574773,0.0011225203,0.0007522696,0.008840341],"category_scores_gemma":[0.0016435527,0.00038382562,0.000876699,0.0017353236,0.004062375,0.006324617,0.0022798814,0.0028498026,0.0010678738],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012430195,0.0000066705966,0.00003929634,0.000010525894,0.000004202894,0.00002817383,0.00004240819,0.00040923175,0.00021192552,0.99689555,0.00045945673,0.0018801194],"study_design_scores_gemma":[0.000007095361,0.0000066522152,0.000058055222,0.0000035744877,0.0000023979533,0.000031624397,0.000026831447,0.0013978452,0.00010478771,0.99661094,0.001745914,0.0000043110254],"about_ca_topic_score_codex":0.0010133514,"about_ca_topic_score_gemma":0.0006177053,"teacher_disagreement_score":0.008840341,"about_ca_system_score_codex":0.0014155135,"about_ca_system_score_gemma":0.00065264606,"threshold_uncertainty_score":0.029573917},"labels":[],"label_agreement":null},{"id":"W374973813","doi":"10.1016/j.aim.2018.10.014","title":"Motivic decompositions of twisted flag varieties and representations of Hecke-type algebras","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Saint Petersburg State University; Russian Foundation for Basic Research; Deutsche Forschungsgemeinschaft; Natural Sciences and Engineering Research Council of Canada; Ontario Trillium Foundation","keywords":"Mathematics; Subcategory; Pure mathematics; Flag (linear algebra); Isomorphism (crystallography); Type (biology); Functor; Field (mathematics); Algebraically closed field; Indecomposable module; Cohomology; Linear algebraic group; Algebraic group; Formal group; Algebra over a field; Algebraic number","score_opus":0.0314394548251977,"score_gpt":0.3525203735260196,"score_spread":0.3210809187008219,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W374973813","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7916425,0.002596043,0.108565666,0.002354528,0.00060946745,0.00008035378,0.00071256986,0.00026572074,0.09317312],"genre_scores_gemma":[0.9658617,0.00070302206,0.008792931,0.00025624374,0.0004955694,0.000049695063,0.00046089705,0.00008872723,0.02329127],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994361,0.00011668921,0.000030931715,0.00010059345,0.00014845525,0.00016722085],"domain_scores_gemma":[0.99933785,0.00010725562,0.00015505288,0.00005998551,0.00011269036,0.0002270504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078199257,0.0009891635,0.0007740901,0.0038508102,0.0015633145,0.0036674666,0.001142079,0.0011648578,0.008899275],"category_scores_gemma":[0.0014692274,0.000536407,0.0008928737,0.001710822,0.0030904924,0.0046404935,0.0020882396,0.0020102453,0.0010814416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025755697,0.000021621601,0.00026536715,0.00002001606,0.0000047390117,0.000056754827,0.00025009445,0.00039055521,0.0005303169,0.9949999,0.00066595216,0.0027691452],"study_design_scores_gemma":[0.0000121035455,0.00001272894,0.0003441158,0.000014359739,0.0000061406204,0.00008629585,0.00014843265,0.0023792884,0.0001859922,0.99527234,0.001526228,0.000011984037],"about_ca_topic_score_codex":0.0007643994,"about_ca_topic_score_gemma":0.00087660877,"teacher_disagreement_score":0.008899275,"about_ca_system_score_codex":0.001231919,"about_ca_system_score_gemma":0.00064376014,"threshold_uncertainty_score":0.02977103},"labels":[],"label_agreement":null},{"id":"W4205958718","doi":"10.1016/j.aim.2012.09.012","title":"Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"> <mml:mi>K</mml:mi> </mml:math>","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Sanitarium Association; College of Natural Resources, University of California Berkeley; National Science Foundation","keywords":"Mathematics; Lie algebra; Affine Lie algebra; Adjoint representation; Pure mathematics; Algebra over a field; Lie conformal algebra; Simple Lie group; Current algebra","score_opus":0.022481005524461806,"score_gpt":0.28275775332037306,"score_spread":0.26027674779591126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4205958718","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4535648,0.002689451,0.09220071,0.0017688554,0.0007513055,0.00014180772,0.0009817362,0.00096386444,0.44693753],"genre_scores_gemma":[0.90916854,0.0009291784,0.010124609,0.00023033624,0.00039465082,0.000055571207,0.0005808462,0.00009884094,0.078417495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974483,0.000042140204,0.000013498677,0.00003928206,0.00010061032,0.00005970226],"domain_scores_gemma":[0.9997174,0.000035530924,0.00005447563,0.000035295296,0.00006801614,0.00008923967],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025225116,0.00044042105,0.00027151368,0.0007603151,0.00080220326,0.0017245937,0.0003032748,0.0003415019,0.011224063],"category_scores_gemma":[0.0005308229,0.00022965293,0.00043635894,0.000522682,0.0012034154,0.0019263183,0.000885019,0.00089033955,0.0027381852],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003508921,0.000020698153,0.00031816232,0.000062757215,0.0000057801226,0.0001508199,0.0002581333,0.00043374582,0.0031368644,0.9834503,0.0031916518,0.008935984],"study_design_scores_gemma":[0.000017013659,0.00005714735,0.0013261369,0.000024408204,0.000009269665,0.0006311772,0.00021354946,0.003151465,0.005076154,0.9699794,0.019495694,0.000018507259],"about_ca_topic_score_codex":0.0006857161,"about_ca_topic_score_gemma":0.000552257,"teacher_disagreement_score":0.011224063,"about_ca_system_score_codex":0.00052354136,"about_ca_system_score_gemma":0.0006197471,"threshold_uncertainty_score":0.037548244},"labels":[],"label_agreement":null},{"id":"W4206478633","doi":"10.1016/j.aim.2012.10.013","title":"On separably injective Banach spaces","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Regional Development Fund; Mountain Equipment Co-operative; Fundación Séneca","keywords":"Injective function; Mathematics; Banach space; Separable space; Pure mathematics; Banach manifold; Mathematical analysis; Lp space","score_opus":0.023123496254972873,"score_gpt":0.3512059916013825,"score_spread":0.3280824953464096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4206478633","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28870276,0.016398199,0.3962459,0.0069435425,0.0016561172,0.00006761492,0.0007778631,0.00031627482,0.28889185],"genre_scores_gemma":[0.8068278,0.01360024,0.054597143,0.0010367897,0.0023318226,0.00020010752,0.0009301885,0.00025725283,0.120218664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990922,0.00021558562,0.00006036658,0.00015589078,0.0003821159,0.00009388358],"domain_scores_gemma":[0.99790394,0.0011172342,0.00023109649,0.0002096178,0.0002650856,0.00027306692],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001626179,0.0018358871,0.0010328277,0.0025402918,0.0013909983,0.0031720842,0.0010159803,0.0012605877,0.008619361],"category_scores_gemma":[0.0032821344,0.00079928496,0.0011730996,0.002219906,0.0045370013,0.010956498,0.0050676307,0.0053068716,0.0011538937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029201596,0.000012258348,0.00010334172,0.00006224632,0.000013427975,0.0000662907,0.00018817424,0.0004377659,0.0009244805,0.9942905,0.0005633204,0.0033091293],"study_design_scores_gemma":[0.0000108081385,0.000016800363,0.00023187984,0.000022299995,0.000013221574,0.00012740293,0.00007987656,0.0018141746,0.0004923224,0.9922767,0.004906079,0.000008446866],"about_ca_topic_score_codex":0.0003420506,"about_ca_topic_score_gemma":0.00031779558,"teacher_disagreement_score":0.008619361,"about_ca_system_score_codex":0.0013414889,"about_ca_system_score_gemma":0.0005798532,"threshold_uncertainty_score":0.028834641},"labels":[],"label_agreement":null},{"id":"W4212960452","doi":"10.1016/j.aim.2010.05.019","title":"Friezes","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; Université de Sherbrooke","funders":"","keywords":"Cluster algebra; Mathematics; Quiver; Laurent polynomial; Combinatorics; Vertex (graph theory); Conjecture; Euclidean geometry; Affine transformation; Discrete mathematics; Pure mathematics; Graph","score_opus":0.014150632718044199,"score_gpt":0.3162201431022615,"score_spread":0.3020695103842173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4212960452","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.003595838,0.0066497643,0.0057000844,0.017292596,0.003986464,0.000034880886,0.0007452068,0.0004022937,0.96159273],"genre_scores_gemma":[0.03028319,0.0022916694,0.0020730468,0.0017106159,0.00060941296,0.000029199035,0.00025631406,0.00017244418,0.9625741],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912924,0.00017318859,0.000021843587,0.00026946812,0.0002609959,0.00014540333],"domain_scores_gemma":[0.999275,0.00019349513,0.000040565123,0.00013576043,0.00021997963,0.00013513974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087771995,0.0006955817,0.00050120987,0.0015829463,0.0040598097,0.0037615502,0.0008100376,0.0018809312,0.19882827],"category_scores_gemma":[0.0038506528,0.0003094262,0.0005060847,0.00078876404,0.002090413,0.0039367587,0.0021508837,0.0025366987,0.056099333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047549856,0.000016929316,0.0003621849,0.000045841603,0.0000064018013,0.00013497596,0.0010004814,0.00012672515,0.0003487715,0.6141989,0.31972584,0.063985445],"study_design_scores_gemma":[0.000002465871,0.000004168134,0.00015464913,0.000024859755,0.0000015855569,0.00007865675,0.00016849008,0.000043396474,0.00012366785,0.01935891,0.9800341,0.000004984618],"about_ca_topic_score_codex":0.010906077,"about_ca_topic_score_gemma":0.021332435,"teacher_disagreement_score":0.19882827,"about_ca_system_score_codex":0.0027746388,"about_ca_system_score_gemma":0.001276744,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W4213332197","doi":"10.1016/j.aim.2022.108252","title":"Fourier dimension and avoidance of linear patterns","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Hausdorff dimension; Dimension (graph theory); Pure mathematics; Fourier transform; Invariant (physics); Linear equation; Uncountable set; Mathematical analysis; Discrete mathematics; Countable set","score_opus":0.018863331337714357,"score_gpt":0.31094506404852684,"score_spread":0.2920817327108125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4213332197","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83157295,0.0011408917,0.092582874,0.0015794496,0.00030587375,0.000035640332,0.000134992,0.00022197617,0.07242529],"genre_scores_gemma":[0.9834435,0.00037685325,0.0061693806,0.00014463278,0.0001852982,0.000031111213,0.00008218889,0.000050194554,0.009516687],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997528,0.000048285252,0.000011441355,0.00004184116,0.00009177343,0.000053885055],"domain_scores_gemma":[0.9987674,0.0005848149,0.00020248204,0.00012658104,0.0001501436,0.0001685877],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031297994,0.00041045458,0.00052852044,0.0016412875,0.00091178104,0.0021917548,0.000746424,0.0009056303,0.0036582437],"category_scores_gemma":[0.0026500432,0.00033167744,0.00040253645,0.0005184821,0.0022631106,0.0020007894,0.0016895353,0.0013101109,0.00038496562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007409365,0.000035583864,0.0005938936,0.000040620806,0.00001152856,0.00009896754,0.00018151102,0.0052693835,0.0039431965,0.9821733,0.0010337143,0.006544213],"study_design_scores_gemma":[0.000030578172,0.00003168856,0.0010373379,0.00001656205,0.0000071050663,0.0003114031,0.00015861698,0.030442199,0.0013416898,0.9646627,0.001932531,0.000027542845],"about_ca_topic_score_codex":0.00054662465,"about_ca_topic_score_gemma":0.00034619763,"teacher_disagreement_score":0.0036582437,"about_ca_system_score_codex":0.0005339348,"about_ca_system_score_gemma":0.00030573842,"threshold_uncertainty_score":0.012238026},"labels":[],"label_agreement":null},{"id":"W4220740771","doi":"10.1016/j.aim.2022.108196","title":"Markovian properties of continuous group actions: Algebraic actions, entropy and the homoclinic group","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of British Columbia; Consejo Nacional de Ciencia y Tecnología; Agence Nationale de la Recherche; National Science Foundation","keywords":"Mathematics; Algebraic number; Topological entropy; Homoclinic orbit; Generating set of a group; Entropy (arrow of time); Expansive; Group (periodic table); Markov chain; Group action; Pure mathematics; Upper and lower bounds; Combinatorics; Discrete mathematics; Mathematical analysis","score_opus":0.03249342499190035,"score_gpt":0.3011231393138675,"score_spread":0.2686297143219672,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4220740771","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8660779,0.002825492,0.10103504,0.0021152939,0.00018160012,0.000031109324,0.0001901101,0.00012074975,0.027422639],"genre_scores_gemma":[0.99517846,0.00054895104,0.002411302,0.00006774874,0.00019809214,0.000015270345,0.00005956007,0.000017685858,0.0015028728],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972075,0.00008425768,0.000013702213,0.00005042958,0.000089639245,0.000041257277],"domain_scores_gemma":[0.997552,0.0013793884,0.00039786327,0.00016591515,0.00021765106,0.0002871641],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008308134,0.00038340598,0.00061945454,0.0016967424,0.0007176501,0.0020759553,0.0005999912,0.0009188972,0.0022404129],"category_scores_gemma":[0.003329557,0.00024268568,0.0005063989,0.0007354642,0.0028752913,0.002654241,0.00097525516,0.0010373248,0.00014120076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002705976,0.000025117044,0.0006384761,0.000036224326,0.000013768164,0.00006136924,0.00014142675,0.0070586405,0.0017361009,0.98656696,0.0003971942,0.0032975299],"study_design_scores_gemma":[0.000009664175,0.000016698195,0.00061064126,0.000009953866,0.000004377415,0.000057897196,0.00004471146,0.033498652,0.00033898736,0.96501464,0.000381303,0.000012521409],"about_ca_topic_score_codex":0.0007120333,"about_ca_topic_score_gemma":0.00051266525,"teacher_disagreement_score":0.0022404129,"about_ca_system_score_codex":0.0007382938,"about_ca_system_score_gemma":0.0006549909,"threshold_uncertainty_score":0.0074949265},"labels":[],"label_agreement":null},{"id":"W4223421616","doi":"10.1016/j.aim.2023.109004","title":"The ASEP speed process","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Adolph C. and Mary Sprague Miller Institute for Basic Research in Science, University of California Berkeley; Centre de Recherches Mathématiques; Institute for Advanced Study; National Science Foundation","keywords":"Conjecture; Asymmetric simple exclusion process; Class (philosophy); Process (computing); Mathematics; Construct (python library); Infinity; Speedup; Combinatorics; Computer science; Parallel computing; Mathematical analysis; Statistics; Artificial intelligence","score_opus":0.03332071681981426,"score_gpt":0.3885042227047872,"score_spread":0.35518350588497294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4223421616","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2027319,0.0023226957,0.57870346,0.013857468,0.0012439527,0.0001653154,0.0009626172,0.00071077165,0.19930187],"genre_scores_gemma":[0.87440413,0.0018301937,0.017560968,0.0007447781,0.0009542783,0.00015823537,0.00034280526,0.00021968324,0.10378488],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992362,0.00020918724,0.00002421599,0.00018215766,0.00021946315,0.00012884321],"domain_scores_gemma":[0.9959596,0.0019739028,0.00044907615,0.00039819552,0.00077854906,0.00044078266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013431285,0.00074345944,0.0010904273,0.0016512234,0.0012465452,0.0028201377,0.0013254352,0.0027936248,0.027096236],"category_scores_gemma":[0.012406847,0.00054732506,0.0008004626,0.0012249704,0.002510895,0.005720635,0.0021607329,0.0035579079,0.0029914773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029103674,0.000013512516,0.00022058892,0.000023890081,0.000007848358,0.00004942635,0.00005147886,0.007935584,0.0004954629,0.9831405,0.0030171294,0.0050154217],"study_design_scores_gemma":[0.000034073008,0.000036050613,0.0006887556,0.00002990443,0.000014882755,0.00022893139,0.00009154832,0.1509876,0.000543748,0.8385195,0.008787097,0.000037919766],"about_ca_topic_score_codex":0.0021062675,"about_ca_topic_score_gemma":0.0007884514,"teacher_disagreement_score":0.027096236,"about_ca_system_score_codex":0.0011599631,"about_ca_system_score_gemma":0.00089546846,"threshold_uncertainty_score":0.09064597},"labels":[],"label_agreement":null},{"id":"W4225714422","doi":"10.1016/j.aim.2023.109437","title":"Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction","year":2023,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Discrete valuation; Pure mathematics; Algebraic number; Simple (philosophy); Residue field; Transcendental number; Conjecture; Torus; Combinatorics; Field (mathematics); Mathematical analysis","score_opus":0.05104549696393353,"score_gpt":0.33678430878166704,"score_spread":0.28573881181773353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4225714422","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8250717,0.001126482,0.051416,0.0020417902,0.00027047505,0.0000742026,0.00040359818,0.0002570996,0.1193386],"genre_scores_gemma":[0.97794527,0.00030128687,0.0065068263,0.00015514171,0.00017200534,0.00004514352,0.00036807873,0.00004505741,0.014461268],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991208,0.00018614193,0.000048898233,0.0002044262,0.0002487896,0.00019092944],"domain_scores_gemma":[0.99920505,0.00018965083,0.00012287828,0.00019480744,0.000101256555,0.00018636724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007474668,0.0008869899,0.0011069387,0.00198415,0.0026096324,0.003934897,0.0008499386,0.0009037688,0.0037527496],"category_scores_gemma":[0.001243715,0.0004810094,0.0014819914,0.0012217723,0.0044960976,0.0041223043,0.003109332,0.0021934833,0.0006134792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007197112,0.00002168502,0.0003640256,0.000020670965,0.000017118668,0.00009429808,0.0004255454,0.0003963375,0.0014887304,0.9948264,0.00036377812,0.0019093998],"study_design_scores_gemma":[0.00004282587,0.000049488317,0.0009950588,0.000009886116,0.00003382424,0.0002540818,0.0004429482,0.0011401239,0.0014090323,0.9922375,0.0033682927,0.000017004797],"about_ca_topic_score_codex":0.0010936924,"about_ca_topic_score_gemma":0.001057358,"teacher_disagreement_score":0.003934897,"about_ca_system_score_codex":0.0013881412,"about_ca_system_score_gemma":0.00057029695,"threshold_uncertainty_score":0.012554169},"labels":[],"label_agreement":null},{"id":"W4225822688","doi":"10.1016/j.aim.2025.110685","title":"Circle squaring with pieces of small boundary and low Borel complexity","year":2025,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Nemzeti Kutatási és Technológiai Hivatal; Leverhulme Trust","keywords":"Mathematics; Borel measure; Lebesgue measure; Borel set; Bounded function; Partition (number theory); Boundary (topology); Mathematical proof; Measure (data warehouse); Dimension (graph theory); Minkowski–Bouligand dimension; Discrete mathematics; Pure mathematics; Lebesgue integration; Combinatorics; Probability measure; Mathematical analysis; Geometry","score_opus":0.03689066765297054,"score_gpt":0.32205997659417457,"score_spread":0.285169308941204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4225822688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7626648,0.0017162516,0.19465515,0.0010665182,0.00010096787,0.000068826404,0.00019322327,0.00034076365,0.03919351],"genre_scores_gemma":[0.9679107,0.0005596718,0.024028169,0.000121647245,0.0001007894,0.000037312748,0.00028745408,0.00007551737,0.0068786605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99919754,0.00013881308,0.000055774002,0.00019966069,0.00027348453,0.00013472664],"domain_scores_gemma":[0.99608225,0.0018931497,0.00057012425,0.00080479967,0.00031305157,0.00033672736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071091426,0.0004124211,0.0007627582,0.0012571674,0.0013233804,0.0029804574,0.0006906396,0.0011630977,0.004466344],"category_scores_gemma":[0.0061478065,0.00043737923,0.0010549985,0.0007581515,0.0032067238,0.0047446275,0.0026161838,0.0017143642,0.0006099493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024044262,0.000034719247,0.0020064574,0.00019853826,0.000044281966,0.0005370972,0.0005924858,0.01429937,0.013765767,0.9476688,0.0019462856,0.01866585],"study_design_scores_gemma":[0.000050644307,0.00013781697,0.0032444755,0.000056571138,0.00005757862,0.0010613772,0.00035911493,0.05860509,0.014223346,0.90935147,0.012783559,0.00006897952],"about_ca_topic_score_codex":0.00063472014,"about_ca_topic_score_gemma":0.00046363374,"teacher_disagreement_score":0.004466344,"about_ca_system_score_codex":0.00080207974,"about_ca_system_score_gemma":0.00027367315,"threshold_uncertainty_score":0.014941454},"labels":[],"label_agreement":null},{"id":"W4226068731","doi":"10.1016/j.aim.2023.109274","title":"Double cohomology of moment-angle complexes","year":2023,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Korea Institute for Advanced Study; Natural Sciences and Engineering Research Council of Canada; Serbian Academy of Sciences and Arts; Pusan National University; Ministère de l’Éducation, Gouvernement de l’Ontario; National Research Foundation of Korea","keywords":"Cohomology; Mathematics; Chordal graph; Moment (physics); Pure mathematics; Combinatorics; Equivariant cohomology; Discrete mathematics; Physics; Graph; Quantum mechanics","score_opus":0.07384781600689469,"score_gpt":0.3766324405576334,"score_spread":0.30278462455073873,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226068731","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66204333,0.0017960948,0.07732793,0.0030329227,0.0008497257,0.000040893745,0.00035205492,0.00032041807,0.2542366],"genre_scores_gemma":[0.9681,0.00048362536,0.0039551845,0.00014696385,0.00055449904,0.000021322097,0.00018319712,0.000078121324,0.026477002],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957854,0.00007342702,0.000017032655,0.00008605719,0.00015315959,0.00009186312],"domain_scores_gemma":[0.99933964,0.00015166645,0.00011156084,0.000050377625,0.0001099566,0.00023678997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004846153,0.0007983099,0.0006099694,0.0034801716,0.0014705971,0.0036523566,0.0006665206,0.00072080165,0.013304838],"category_scores_gemma":[0.0015622169,0.0003242012,0.00043807982,0.0011794363,0.0017390224,0.0058397865,0.002266867,0.0017597718,0.0009466887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039033755,0.000018128645,0.0002823565,0.000017957966,0.000005680464,0.00007999382,0.00018687057,0.00026352925,0.0013586091,0.9930039,0.0007219262,0.0040220506],"study_design_scores_gemma":[0.000015653646,0.000019630479,0.0007521885,0.000010833817,0.000007419329,0.00022688783,0.00019510461,0.002352843,0.0009234116,0.9902436,0.0052404436,0.000012019512],"about_ca_topic_score_codex":0.00066604436,"about_ca_topic_score_gemma":0.0004924724,"teacher_disagreement_score":0.013304838,"about_ca_system_score_codex":0.001222698,"about_ca_system_score_gemma":0.0002808138,"threshold_uncertainty_score":0.044509113},"labels":[],"label_agreement":null},{"id":"W4249152516","doi":"10.1016/j.aim.2013.01.004","title":"Polynomial functors and categorifications of Fock space II","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Functor; Fock space; Pure mathematics; Adjoint functors; Algebra over a field; Natural transformation; Discrete mathematics","score_opus":0.014829343924076222,"score_gpt":0.27704752318735876,"score_spread":0.26221817926328256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4249152516","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40050521,0.006281458,0.21267441,0.0073940745,0.0012055964,0.00013256691,0.00076823577,0.0006438791,0.37039456],"genre_scores_gemma":[0.9522402,0.0011891706,0.013396389,0.00076025666,0.0006819077,0.00009302914,0.00047154253,0.000108271444,0.031059308],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990675,0.00023425871,0.000045894394,0.00018584254,0.00023961076,0.00022694071],"domain_scores_gemma":[0.9988913,0.00044410912,0.00014520645,0.00016112025,0.00017518734,0.0001831593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013423165,0.0008390317,0.0010399058,0.0030903586,0.003127776,0.0048632086,0.0014654854,0.0016137057,0.009369357],"category_scores_gemma":[0.002255804,0.0005508654,0.0012444503,0.002049566,0.006141706,0.0062901764,0.003018951,0.003976496,0.00096199533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003736461,0.0000047661165,0.00003902418,0.0000055790138,0.0000015482909,0.000009710515,0.00010194333,0.00011821891,0.000077643715,0.9987287,0.0002164398,0.00069261855],"study_design_scores_gemma":[0.0000056741833,0.0000051032525,0.00010043602,0.0000037663092,0.0000017992122,0.000019595833,0.0000497663,0.00046627823,0.0000645526,0.99805284,0.0012249372,0.0000052930022],"about_ca_topic_score_codex":0.0030589593,"about_ca_topic_score_gemma":0.0016872085,"teacher_disagreement_score":0.009369357,"about_ca_system_score_codex":0.0030709375,"about_ca_system_score_gemma":0.0010870569,"threshold_uncertainty_score":0.03134358},"labels":[],"label_agreement":null},{"id":"W4295528103","doi":"10.1016/j.aim.2022.108678","title":"Trialities of orthosymplectic W-algebras","year":2022,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Mathematics; Coset; Vertex operator algebra; Realization (probability); Type (biology); Combinatorics; Algebra over a field; Pure mathematics; Jordan algebra; Current algebra","score_opus":0.031062324228820184,"score_gpt":0.32020824847519586,"score_spread":0.2891459242463757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4295528103","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59038395,0.0011377694,0.12173476,0.0019711957,0.00093444233,0.000103089355,0.00039130004,0.000302958,0.2830405],"genre_scores_gemma":[0.9333929,0.0008154581,0.014302041,0.0004437875,0.00064855703,0.00011919219,0.00040116534,0.00017667418,0.049700223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992409,0.00015805286,0.000053226144,0.00013277818,0.00022742081,0.00018761474],"domain_scores_gemma":[0.9989291,0.00027268505,0.00018598945,0.00011932581,0.00020108184,0.00029173848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001227808,0.00083275925,0.0010972071,0.0025243955,0.0027871921,0.005036405,0.0011950971,0.0010032854,0.010085282],"category_scores_gemma":[0.0023692371,0.0005510382,0.00078412186,0.0018320384,0.0045177545,0.0064467033,0.0026284906,0.003062444,0.001361835],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017355838,0.000012631109,0.00007274117,0.000008650136,0.0000032534174,0.000033917684,0.00008993702,0.00013981423,0.00032055145,0.9976935,0.0003266721,0.0012809542],"study_design_scores_gemma":[0.00001248251,0.0000096171425,0.000109343724,0.0000060041684,0.000004037133,0.000060149287,0.000081720216,0.000936935,0.0002933147,0.9971017,0.0013759929,0.000008635249],"about_ca_topic_score_codex":0.0010379129,"about_ca_topic_score_gemma":0.0014233515,"teacher_disagreement_score":0.010085282,"about_ca_system_score_codex":0.001163495,"about_ca_system_score_gemma":0.0008574504,"threshold_uncertainty_score":0.033738613},"labels":[],"label_agreement":null},{"id":"W4317612200","doi":"10.1016/j.aim.2023.108859","title":"D-finiteness, rationality, and height II: Lower bounds over a set of positive density","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Combinatorics; Series (stratigraphy); Field (mathematics); Function (biology); Set (abstract data type); Rationality; Mathematical analysis; Pure mathematics","score_opus":0.02858035666298914,"score_gpt":0.34427825808319107,"score_spread":0.31569790142020193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4317612200","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47497216,0.009749453,0.38892964,0.011069782,0.00035897628,0.00008401391,0.00113542,0.0006205154,0.113079995],"genre_scores_gemma":[0.9670081,0.0025146166,0.021945039,0.0006935984,0.00053885294,0.00013103944,0.0004163768,0.0001720649,0.006580324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977416,0.0006125626,0.00010453687,0.0004438927,0.0005860127,0.0005113692],"domain_scores_gemma":[0.95966506,0.03299263,0.001344824,0.0017154986,0.0011652774,0.0031166754],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0043616737,0.0015997756,0.002228553,0.004510589,0.0022464788,0.0057665855,0.0031137352,0.0017965604,0.005774634],"category_scores_gemma":[0.021171043,0.001085071,0.0019270052,0.00266656,0.009710709,0.0089254435,0.006704714,0.0072026066,0.0006106505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007666206,0.000022979453,0.0008686216,0.00007846776,0.00002884018,0.000060142156,0.00022548287,0.0050368994,0.0007183748,0.987986,0.00105754,0.0038399282],"study_design_scores_gemma":[0.000016543276,0.000020027048,0.0005413931,0.000039931754,0.000027382395,0.00008490938,0.00007034678,0.0219014,0.00050756795,0.97566503,0.001100507,0.000025019011],"about_ca_topic_score_codex":0.0024063452,"about_ca_topic_score_gemma":0.0016417463,"teacher_disagreement_score":0.005774634,"about_ca_system_score_codex":0.003970646,"about_ca_system_score_gemma":0.0011736534,"threshold_uncertainty_score":0.02880925},"labels":[],"label_agreement":null},{"id":"W4319296099","doi":"10.1016/j.aim.2023.108893","title":"The Doran-Harder-Thompson conjecture for toric complete intersections","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Alberta","funders":"University of Alberta; Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Conjecture; Complete intersection; Pure mathematics; Intersection (aeronautics); Mirror symmetry; Identity (music); Toric variety; Intersection theory; Calabi–Yau manifold; Variety (cybernetics); Combinatorics; Algebra over a field; Mathematical analysis","score_opus":0.04181070844609152,"score_gpt":0.3443897508924033,"score_spread":0.3025790424463118,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4319296099","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47126344,0.0034764244,0.06654659,0.025426185,0.0016990465,0.00008820663,0.0013644483,0.000561628,0.42957413],"genre_scores_gemma":[0.9626692,0.0010761668,0.0077881557,0.0013266227,0.0012352088,0.000059290844,0.0010634211,0.00012713314,0.024654875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982644,0.00031150374,0.000078300865,0.0004777213,0.0004717965,0.0003962976],"domain_scores_gemma":[0.9957106,0.0021735313,0.00041137484,0.00074595714,0.00043645324,0.00052203395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016057969,0.0009520702,0.0019601078,0.0026285069,0.00451121,0.0056543807,0.0019800097,0.0030653558,0.016447574],"category_scores_gemma":[0.009556379,0.0007059974,0.0014729502,0.0026164502,0.006511626,0.01330246,0.005348175,0.005984203,0.0015597236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007264819,0.000021228463,0.0005376685,0.000058750607,0.000011707539,0.00008413044,0.00019109042,0.0012897159,0.00017022456,0.9883426,0.005197312,0.0040229685],"study_design_scores_gemma":[0.000017158416,0.000006713638,0.00032660645,0.000015300942,0.000008769906,0.00006724367,0.00010376606,0.0023636832,0.00012223145,0.9935557,0.003402438,0.000010349226],"about_ca_topic_score_codex":0.003182243,"about_ca_topic_score_gemma":0.002561246,"teacher_disagreement_score":0.016447574,"about_ca_system_score_codex":0.0024691678,"about_ca_system_score_gemma":0.0011943073,"threshold_uncertainty_score":0.055022597},"labels":[],"label_agreement":null},{"id":"W4319999514","doi":"10.1016/j.aim.2023.108902","title":"Equivalence of cubical and simplicial approaches to (∞,n)-categories","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Functor; Equivalence (formal languages); Simplicial set; Model category; Combinatorics; Triangulation; Pure mathematics; Discrete mathematics; Geometry; Homotopy category","score_opus":0.13664441767649954,"score_gpt":0.3573441350553147,"score_spread":0.22069971737881516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4319999514","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3678669,0.0019299579,0.12523176,0.0050216997,0.00074409484,0.00009859409,0.00054944394,0.0003672054,0.49819037],"genre_scores_gemma":[0.9524583,0.0006252998,0.012974293,0.0005681779,0.00034758492,0.0000779853,0.00042451342,0.00010034849,0.032423455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981401,0.00037811248,0.00009543465,0.00035846155,0.0006794938,0.00034831994],"domain_scores_gemma":[0.99719065,0.0010366841,0.0001780864,0.0003743141,0.0007335245,0.00048667012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016143756,0.00039856002,0.0007501877,0.0024086046,0.0033930873,0.0047151344,0.0016509373,0.0014238884,0.010418742],"category_scores_gemma":[0.004150808,0.00040440226,0.00083242846,0.0014419224,0.0066402797,0.0071831704,0.0053442246,0.0036435074,0.0006095248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013718585,0.000012101829,0.00012367008,0.000009376557,0.0000023473358,0.000026975562,0.00027718188,0.00011113088,0.0001878071,0.9971937,0.00036199542,0.0016799284],"study_design_scores_gemma":[0.000010255434,0.0000090166695,0.00045650898,0.0000074699647,0.0000036738295,0.000056538884,0.00021691146,0.0010496934,0.00018880368,0.99357635,0.0044164183,0.000008454994],"about_ca_topic_score_codex":0.008744074,"about_ca_topic_score_gemma":0.008463567,"teacher_disagreement_score":0.010418742,"about_ca_system_score_codex":0.002894735,"about_ca_system_score_gemma":0.0014988782,"threshold_uncertainty_score":0.034854174},"labels":[],"label_agreement":null},{"id":"W4327629449","doi":"10.1016/j.aim.2023.108979","title":"Non-degeneracy and quantitative stability of half-harmonic maps from <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:math> to <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si129.svg\"><mml:mi mathvariant=\"double-struck\">S</mml:mi></mml:math>","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Key Research and Development Program of China; China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Harmonic map; Degree (music); Degenerate energy levels; Mathematical analysis; Blaschke product; Harmonic; Harmonic mean; Stability (learning theory); Geometry; Physics; Quantum mechanics","score_opus":0.032350503104710215,"score_gpt":0.2840622629604338,"score_spread":0.2517117598557236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4327629449","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76824933,0.00092868967,0.14974871,0.002786986,0.00014321254,0.00004194758,0.0005354678,0.00044801342,0.07711763],"genre_scores_gemma":[0.9763668,0.00030527308,0.008307419,0.00017692786,0.000111434616,0.00004627374,0.00025965448,0.00018693224,0.014239289],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992974,0.00014485628,0.00003926208,0.000170777,0.0002483272,0.00009933917],"domain_scores_gemma":[0.99729556,0.0010430939,0.00034575383,0.00034896974,0.0005709249,0.00039570162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013315686,0.0004111565,0.00039324068,0.00268926,0.0013143371,0.0031798328,0.0007616654,0.0007724642,0.008134551],"category_scores_gemma":[0.0058228304,0.00033079134,0.00050384295,0.00063473376,0.0029254216,0.004469059,0.0022185652,0.0014270847,0.0008855952],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002853406,0.000011793289,0.000467393,0.000024607049,0.000007951495,0.000043601747,0.00022698203,0.0017184207,0.0011530721,0.9903279,0.001026899,0.004962954],"study_design_scores_gemma":[0.0000055078026,0.000010871961,0.000607178,0.000009654482,0.0000038017306,0.000068348876,0.000106342355,0.01756598,0.0009579355,0.97928613,0.0013662863,0.000012009812],"about_ca_topic_score_codex":0.0011569804,"about_ca_topic_score_gemma":0.0006132372,"teacher_disagreement_score":0.008134551,"about_ca_system_score_codex":0.0015634915,"about_ca_system_score_gemma":0.0006417016,"threshold_uncertainty_score":0.027212739},"labels":[],"label_agreement":null},{"id":"W4365520282","doi":"10.1016/j.aim.2023.109020","title":"Breaking the degeneracy barrier for coloring graphs with no K minor","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; National Science Foundation","keywords":"Mathematics; Degeneracy (biology); Combinatorics; Minor (academic); Graph; Graph minor; Discrete mathematics; Graph power; Line graph; Humanities","score_opus":0.024666962673488654,"score_gpt":0.32302891935356604,"score_spread":0.29836195668007737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4365520282","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51451385,0.0010955664,0.36002764,0.0069031706,0.0007886671,0.0002310715,0.0007303348,0.0032209735,0.11248874],"genre_scores_gemma":[0.9117696,0.00049632497,0.069888666,0.0016873505,0.00016382514,0.00019250519,0.00041164336,0.0012136562,0.014176357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853504,0.00043483175,0.000056326415,0.000300014,0.00027519785,0.0003986532],"domain_scores_gemma":[0.98875207,0.00633559,0.0006733455,0.0025849328,0.00044382273,0.0012102472],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019042242,0.0010170678,0.0017055116,0.0012074636,0.0037924536,0.003162055,0.0026772502,0.0024558767,0.013734233],"category_scores_gemma":[0.01566434,0.0009222852,0.0010822554,0.00092120224,0.0034487806,0.006691774,0.0049357787,0.0058424,0.0024270238],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006414507,0.00021669998,0.0011512906,0.00033613344,0.00004891074,0.00026113068,0.00064982066,0.017852033,0.010272846,0.9243469,0.013327017,0.0308957],"study_design_scores_gemma":[0.00006087578,0.00003569513,0.00014820557,0.000047294678,0.000013971084,0.00012426489,0.00015184404,0.039879657,0.0013193026,0.95573986,0.0024607303,0.000018301263],"about_ca_topic_score_codex":0.0018937826,"about_ca_topic_score_gemma":0.0031209919,"teacher_disagreement_score":0.013734233,"about_ca_system_score_codex":0.0018198765,"about_ca_system_score_gemma":0.0017051202,"threshold_uncertainty_score":0.045945525},"labels":[],"label_agreement":null},{"id":"W4368352601","doi":"10.1016/j.aim.2023.109047","title":"The coarse Baum–Connes conjecture for certain relative expanders","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Science and Technology Commission of Shanghai Municipality; National Natural Science Foundation of China; National Sleep Foundation; National Science Foundation","keywords":"Conjecture; Mathematics; Disjoint sets; Disjoint union (topology); Hilbert space; Metric space; Combinatorics; Sequence (biology); Bounded function; Space (punctuation); Metric (unit); Group (periodic table); Pure mathematics; Discrete mathematics; Mathematical analysis; Computer science; Physics","score_opus":0.06116842928062083,"score_gpt":0.412947236729441,"score_spread":0.3517788074488202,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4368352601","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4836894,0.002115296,0.1433684,0.01653697,0.0011015491,0.00007570067,0.0006352782,0.00083842326,0.35163894],"genre_scores_gemma":[0.9472978,0.0007446306,0.01345952,0.001953877,0.0011751094,0.00007907393,0.0003912779,0.00021793778,0.03468081],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908483,0.0001830425,0.000034376793,0.00023729967,0.00026789878,0.00019249394],"domain_scores_gemma":[0.9970927,0.0015731809,0.00026780943,0.00042719202,0.00025924592,0.000379901],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017389836,0.0008080266,0.0013410604,0.0025532674,0.0030321246,0.0037099468,0.0011810242,0.00202628,0.015173108],"category_scores_gemma":[0.0072481874,0.0006699101,0.0009887104,0.001665487,0.006296334,0.011775768,0.0036923916,0.0043953257,0.0009353301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014107461,0.0000049921914,0.000084213345,0.0000126908,0.0000024718015,0.000023098035,0.000066064655,0.00021066422,0.0001499714,0.997795,0.0007333114,0.00090337184],"study_design_scores_gemma":[0.000007406376,0.0000031545255,0.00010201688,0.0000048089855,0.000002345792,0.000033158365,0.000032505955,0.0015686501,0.00010235338,0.99726224,0.0008760056,0.000005287347],"about_ca_topic_score_codex":0.002043675,"about_ca_topic_score_gemma":0.0016600302,"teacher_disagreement_score":0.015173108,"about_ca_system_score_codex":0.0015550606,"about_ca_system_score_gemma":0.0006796469,"threshold_uncertainty_score":0.050759077},"labels":[],"label_agreement":null},{"id":"W4378700942","doi":"10.1016/j.aim.2023.109110","title":"Groupoids and skeletal categories form a pretorsion theory in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:mi mathvariant=\"sans-serif\">Cat</mml:mi> </mml:math>","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Ministero dell’Istruzione, dell’Università e della Ricerca; Fonds De La Recherche Scientifique - FNRS","keywords":"Mathematics; Isomorphism (crystallography); Automorphism; Torsion (gastropod); Pure mathematics; Combinatorics; Discrete mathematics; Crystallography","score_opus":0.01524901433837429,"score_gpt":0.2650184405409094,"score_spread":0.24976942620253512,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4378700942","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07103905,0.0032953036,0.33431453,0.010572415,0.0012689602,0.00012936113,0.001831233,0.0013845745,0.57616466],"genre_scores_gemma":[0.71196866,0.0020638157,0.10180366,0.0013136752,0.0009696198,0.00017004897,0.0027600846,0.0006927991,0.17825769],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991684,0.00021107493,0.000063514206,0.00023385043,0.0002160827,0.00010719356],"domain_scores_gemma":[0.99928254,0.00021930532,0.00005898505,0.00016254252,0.00017441144,0.0001022141],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085110805,0.0007277643,0.00059450907,0.0020949126,0.002759333,0.0058878693,0.0010222839,0.0014765039,0.023066642],"category_scores_gemma":[0.0012079201,0.00061016536,0.0011744222,0.0017998128,0.003960729,0.011829692,0.0031894175,0.0033467696,0.004875348],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006416878,0.000004845017,0.000066079345,0.000013567196,0.0000026829189,0.000019213026,0.00018400821,0.0000790104,0.00016723646,0.9934342,0.002137993,0.003884738],"study_design_scores_gemma":[0.000004614842,0.000011669689,0.00019098341,0.000019632904,0.0000066950274,0.000082945684,0.00023377627,0.00074472954,0.00048175454,0.9660708,0.032144193,0.000008223864],"about_ca_topic_score_codex":0.002214757,"about_ca_topic_score_gemma":0.0031972514,"teacher_disagreement_score":0.023066642,"about_ca_system_score_codex":0.0020002734,"about_ca_system_score_gemma":0.0009137396,"threshold_uncertainty_score":0.0771656},"labels":[],"label_agreement":null},{"id":"W4384028098","doi":"10.1016/j.aim.2023.109205","title":"L-Steiner quermassintegrals","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Sleep Foundation; National Science Foundation","keywords":"Mathematics; Affine transformation; Regular polygon; Combinatorics; Invariant (physics); Pure mathematics; Geometry; Mathematical physics","score_opus":0.06493488376976206,"score_gpt":0.3839882504521647,"score_spread":0.3190533666824027,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384028098","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29496208,0.0042882753,0.37791225,0.009666039,0.0012416673,0.00009844612,0.00089911907,0.00036425766,0.31056798],"genre_scores_gemma":[0.8602554,0.0027424886,0.04274008,0.0015755082,0.0014744065,0.00015752474,0.00052510604,0.00030767816,0.0902218],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921143,0.00021807884,0.00003581411,0.0001558688,0.0002156165,0.00016311901],"domain_scores_gemma":[0.99758554,0.0012806007,0.00033147662,0.00012385561,0.00031771208,0.00036076657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013532541,0.0011694885,0.0014836151,0.0029675034,0.0020362893,0.0033235478,0.0015857794,0.0019567106,0.019128706],"category_scores_gemma":[0.0048774695,0.000635193,0.0011453955,0.0014889863,0.0046691056,0.006197699,0.004124219,0.0054822844,0.0019554622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015072763,0.0000082519955,0.0000940119,0.000015042621,0.000005467642,0.0000316195,0.000053782074,0.00030835636,0.00020724289,0.9966182,0.0007004875,0.0019425929],"study_design_scores_gemma":[0.000012284141,0.00001361464,0.0001742968,0.0000123713635,0.0000067325664,0.00009014665,0.00005433473,0.007007298,0.00025841777,0.9897626,0.0025987148,0.000009338564],"about_ca_topic_score_codex":0.0009756971,"about_ca_topic_score_gemma":0.0009456402,"teacher_disagreement_score":0.019128706,"about_ca_system_score_codex":0.0018899794,"about_ca_system_score_gemma":0.0006430115,"threshold_uncertainty_score":0.063991904},"labels":[],"label_agreement":null},{"id":"W4384997708","doi":"10.1016/j.aim.2023.109208","title":"Duality for asymptotic invariants of graded families","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Division of Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Duality (order theory); Sequence (biology); Pure mathematics; Quotient; Algebraic number; Ideal (ethics); Reciprocity (cultural anthropology); Combinatorics; Mathematical analysis","score_opus":0.08095777763998267,"score_gpt":0.4013735934199422,"score_spread":0.32041581577995953,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384997708","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47078553,0.00349963,0.24869107,0.004360095,0.0014453173,0.00010730339,0.00047263276,0.0005218,0.2701167],"genre_scores_gemma":[0.9555569,0.0012351279,0.016252361,0.00054796715,0.0013160125,0.00009225193,0.00045246107,0.00015358739,0.024393156],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984635,0.00047586753,0.000092885595,0.0002638188,0.00039352578,0.0003105259],"domain_scores_gemma":[0.99721247,0.0010718752,0.0002989693,0.00023128415,0.0005956384,0.0005897543],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033706084,0.0008718586,0.0014457427,0.006778944,0.0031180365,0.004404949,0.0017023163,0.0014805694,0.008044248],"category_scores_gemma":[0.0056560235,0.000579083,0.0014232397,0.0027423135,0.006552757,0.010592264,0.0038721156,0.004023338,0.0008006595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011083625,0.000015761769,0.00011528296,0.000010988083,0.0000031943036,0.000023970922,0.00012962699,0.00011970657,0.00014367967,0.9979242,0.00030369192,0.0011988664],"study_design_scores_gemma":[0.00000832169,0.0000105036115,0.00017909307,0.0000082411025,0.000004315103,0.00004717032,0.00008582219,0.0011613673,0.00011572439,0.997332,0.0010405377,0.0000068866575],"about_ca_topic_score_codex":0.0016080162,"about_ca_topic_score_gemma":0.0012036246,"teacher_disagreement_score":0.008044248,"about_ca_system_score_codex":0.0031170999,"about_ca_system_score_gemma":0.0009817455,"threshold_uncertainty_score":0.026910663},"labels":[],"label_agreement":null},{"id":"W4386648112","doi":"10.1016/j.aim.2023.109292","title":"Composition series of arbitrary cardinality in modular lattices and abelian categories","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Hausdorff Research Institute for Mathematics; Canada Research Chairs; Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics; Université du Québec à Montréal; Universiteit Gent; Université de Sherbrooke; Bijzonder Onderzoeksfonds UGent; Brandeis University","keywords":"Mathematics; Abelian group; Conjecture; Indecomposable module; Axiom; Cardinality (data modeling); Series (stratigraphy); Simple (philosophy); Combinatorics; Discrete mathematics; Pure mathematics","score_opus":0.024587197665587784,"score_gpt":0.30775043623871134,"score_spread":0.28316323857312353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386648112","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70700014,0.0013727745,0.13781215,0.0039730314,0.00091007934,0.000081286,0.00028651202,0.0006054845,0.14795853],"genre_scores_gemma":[0.9589302,0.0005612832,0.016328596,0.0003426974,0.0006890069,0.000092099865,0.00017514892,0.000173511,0.022707574],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987525,0.00036703958,0.00005681858,0.00018322974,0.00038228367,0.00025811064],"domain_scores_gemma":[0.99648166,0.001905838,0.00045884243,0.00028623972,0.00034847687,0.0005188068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021327457,0.00081593764,0.0012996212,0.0032314952,0.0031448952,0.0042714863,0.0016304774,0.0014344376,0.008094025],"category_scores_gemma":[0.0071424306,0.00077331054,0.0010493582,0.0020305996,0.00710916,0.008964888,0.0031728274,0.0035589968,0.00086199766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024957775,0.000013643074,0.00011799819,0.000012545429,0.0000024629971,0.000056349298,0.00016572377,0.00033762716,0.000269787,0.9973615,0.0002670648,0.0013703333],"study_design_scores_gemma":[0.0000137259085,0.00000824637,0.00010996777,0.000006654243,0.0000041155545,0.000088786306,0.00006439173,0.0020725327,0.00029133682,0.99645567,0.00087642396,0.000008215883],"about_ca_topic_score_codex":0.0008148572,"about_ca_topic_score_gemma":0.0010107028,"teacher_disagreement_score":0.008094025,"about_ca_system_score_codex":0.0025394026,"about_ca_system_score_gemma":0.00093758566,"threshold_uncertainty_score":0.027077198},"labels":[],"label_agreement":null},{"id":"W4386722096","doi":"10.1016/j.aim.2025.110746","title":"Hyperelliptic curves mapping to abelian varieties and applications to Beilinson's conjecture for zero-cycles","year":2025,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Institute of Sacred Music; Centre de Recherches Mathématiques; National Science Foundation","keywords":"Mathematics; Zero (linguistics); Algebraically closed field; Abelian group; Conjecture; Genus; Elliptic curve; Pure mathematics; Abelian variety; Kernel (algebra); Isogeny; Hyperelliptic curve; Product (mathematics); Image (mathematics); Algebra over a field; Geometry","score_opus":0.035813411006018946,"score_gpt":0.3391053711848583,"score_spread":0.30329196017883936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386722096","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6276228,0.008712527,0.08485546,0.0146504985,0.0013730063,0.00011705357,0.00036528366,0.0004788521,0.26182452],"genre_scores_gemma":[0.955085,0.0028160617,0.011757355,0.00050618435,0.00094360625,0.000070851165,0.00031674624,0.00010128105,0.028402999],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993224,0.00021855405,0.00003623954,0.00014850065,0.00014639719,0.0001278878],"domain_scores_gemma":[0.9977417,0.0011982626,0.00024554212,0.00022332765,0.00027272533,0.00031855615],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012781791,0.0013970993,0.0013351433,0.006410478,0.0035552161,0.005147641,0.0018315956,0.0027181737,0.01027137],"category_scores_gemma":[0.007843356,0.0006666855,0.0011990743,0.005372711,0.0054060486,0.007950535,0.004322424,0.00434117,0.00092002697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037676386,0.00002909382,0.00048662562,0.000039148374,0.0000057405455,0.00009205858,0.00036364968,0.001286537,0.00026413627,0.9911282,0.0012275489,0.0050396747],"study_design_scores_gemma":[0.000009019037,0.000007315968,0.00018571038,0.000018749357,0.0000050378917,0.000054446136,0.0002100697,0.0031519337,0.00015566558,0.9943093,0.0018832088,0.000009557669],"about_ca_topic_score_codex":0.0033404916,"about_ca_topic_score_gemma":0.0023724323,"teacher_disagreement_score":0.01027137,"about_ca_system_score_codex":0.0026370273,"about_ca_system_score_gemma":0.00087273377,"threshold_uncertainty_score":0.034361184},"labels":[],"label_agreement":null},{"id":"W4386838969","doi":"10.1016/j.aim.2023.109295","title":"Rational Cherednik algebras of G(ℓ,p,n) from the Coulomb perspective","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Ontario Ministry of Research, Innovation and Science; Government of Canada; Innovation, Science and Economic Development Canada","keywords":"Mathematics; Lift (data mining); Pure mathematics; Algebra over a field; Representation theory; Simple (philosophy); Basis (linear algebra); Group (periodic table); Geometry; Physics; Quantum mechanics","score_opus":0.0308015326417692,"score_gpt":0.33742526062361716,"score_spread":0.30662372798184795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386838969","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4295893,0.0029059583,0.062015656,0.0055163177,0.0007665082,0.000097591015,0.0004134505,0.0003368456,0.49835834],"genre_scores_gemma":[0.95895684,0.00096327567,0.008191706,0.0006648637,0.00060788705,0.00005289522,0.00020264245,0.00009304823,0.03026675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932396,0.00014903874,0.000025606081,0.00009477103,0.00023750433,0.00016903352],"domain_scores_gemma":[0.99936,0.00016220438,0.000094307776,0.000071883085,0.00014414007,0.00016735186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000692681,0.00093294395,0.0010254058,0.0031148766,0.0027091894,0.0039381,0.0014868673,0.0015500771,0.0090439925],"category_scores_gemma":[0.001805712,0.00033783817,0.00077610585,0.0013508641,0.0050802273,0.0052088075,0.0021246457,0.00238238,0.0012485791],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008082771,0.0000050825797,0.00002979999,0.000009597218,0.0000018699744,0.000037433674,0.000041025312,0.00025866952,0.0002112194,0.99840766,0.00030737958,0.0006820703],"study_design_scores_gemma":[0.000009355834,0.0000064462756,0.000088592395,0.0000068350896,0.0000022413865,0.00008460127,0.000054630967,0.0015660695,0.0001410058,0.9964922,0.0015401115,0.000007956263],"about_ca_topic_score_codex":0.0025576148,"about_ca_topic_score_gemma":0.0023190426,"teacher_disagreement_score":0.0090439925,"about_ca_system_score_codex":0.002490245,"about_ca_system_score_gemma":0.0013820095,"threshold_uncertainty_score":0.030255139},"labels":[],"label_agreement":null},{"id":"W4387353088","doi":"10.1016/j.aim.2023.109322","title":"Projective freeness and Hermiteness of complex function algebras","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Pure mathematics; Nest algebra; Holomorphic function; Commutative property; Non-associative algebra; Algebra over a field; Algebra representation","score_opus":0.0751853730765323,"score_gpt":0.3956485198754606,"score_spread":0.32046314679892834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387353088","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86420435,0.0005832786,0.10597689,0.00040542983,0.000058274567,0.000026331589,0.00010928565,0.00007720354,0.02855888],"genre_scores_gemma":[0.99429977,0.000107690015,0.0033225857,0.000022213047,0.000049673155,0.000009043118,0.000046555815,0.000009604066,0.002132899],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989371,0.00027260897,0.000062328996,0.0001668822,0.00036567965,0.00019541977],"domain_scores_gemma":[0.99820745,0.0006694974,0.00027686942,0.0001589982,0.000390259,0.00029682714],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012545295,0.0003912581,0.00038447895,0.0011034502,0.0010559759,0.0018013931,0.00039508447,0.0003199955,0.0024214666],"category_scores_gemma":[0.0027987678,0.00025601962,0.0005053621,0.00052152446,0.0027114733,0.003191289,0.001170273,0.0011829078,0.00020242589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036833262,0.000018333682,0.00074245007,0.000029845642,0.0000128406755,0.00015269365,0.00032861362,0.0014390011,0.003920557,0.98993075,0.00017711337,0.00321104],"study_design_scores_gemma":[0.000028589317,0.00013419,0.0020809916,0.000014349134,0.000021766828,0.00058393774,0.00030826268,0.0196593,0.008653198,0.964817,0.0036532015,0.00004527999],"about_ca_topic_score_codex":0.0006248135,"about_ca_topic_score_gemma":0.00042948904,"teacher_disagreement_score":0.0024214666,"about_ca_system_score_codex":0.00067621947,"about_ca_system_score_gemma":0.00051657844,"threshold_uncertainty_score":0.008100629},"labels":[],"label_agreement":null},{"id":"W4388473731","doi":"10.1016/j.aim.2023.109320","title":"Asymptotic formula for Tate–Shafarevich groups of p-supersingular elliptic curves over anticyclotomic extensions","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Supersingular elliptic curve; Elliptic curve; Prime (order theory); Pure mathematics; Extension (predicate logic); Quadratic equation; Field (mathematics); Good reduction; Algebra over a field; Discrete mathematics; Combinatorics; Geometry","score_opus":0.029699079217005778,"score_gpt":0.3423395043276106,"score_spread":0.31264042511060486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388473731","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8806132,0.0012868778,0.0576107,0.0016251409,0.00018916374,0.000081375685,0.00015806216,0.00020823971,0.05822726],"genre_scores_gemma":[0.9881831,0.00046841957,0.003873825,0.000107278305,0.00025152348,0.00006302141,0.0001711101,0.000038467824,0.006843298],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995284,0.00009469436,0.00002756281,0.00008614467,0.00014885914,0.000114399816],"domain_scores_gemma":[0.99904865,0.00031639336,0.00016624779,0.00009224192,0.00015209166,0.00022439567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009118641,0.0008356328,0.0008299486,0.0034398672,0.001400727,0.0022629965,0.0012127992,0.0010186199,0.007799628],"category_scores_gemma":[0.0040145465,0.0002848325,0.0007643557,0.0010917936,0.0031510768,0.005022446,0.0024078074,0.0024431727,0.0010062496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010199997,0.000051662286,0.0017995886,0.0000695846,0.000016667464,0.00034685826,0.0009152588,0.0023706174,0.0024261372,0.9835603,0.0009336187,0.0074076885],"study_design_scores_gemma":[0.000036844634,0.00008759831,0.0020240543,0.000070779664,0.00002820704,0.0004047238,0.00035508425,0.02923977,0.002190945,0.9623584,0.0031680535,0.000035420402],"about_ca_topic_score_codex":0.00094667554,"about_ca_topic_score_gemma":0.0006950801,"teacher_disagreement_score":0.007799628,"about_ca_system_score_codex":0.0016364073,"about_ca_system_score_gemma":0.00058025646,"threshold_uncertainty_score":0.02609235},"labels":[],"label_agreement":null},{"id":"W4389049335","doi":"10.1016/j.aim.2023.109379","title":"Vanishing mean oscillation and continuity of rearrangements","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; University of Toronto","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Oscillation (cell signaling); Bounded function; Bounded mean oscillation; Pure mathematics; Mathematical analysis","score_opus":0.06637073434637152,"score_gpt":0.40678004706567245,"score_spread":0.3404093127193009,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389049335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46119213,0.0037008452,0.4234544,0.0066309352,0.00051025354,0.00004656322,0.00034198962,0.00042080972,0.103701994],"genre_scores_gemma":[0.9561091,0.0013209581,0.019830083,0.00039780582,0.00054164365,0.00006406938,0.00017471495,0.00018367404,0.02137783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993067,0.00017972272,0.000028392367,0.00020028937,0.00015640768,0.0001285419],"domain_scores_gemma":[0.99540025,0.00276362,0.0003511253,0.00041125406,0.00054761994,0.0005261487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016145986,0.0005555233,0.0009385429,0.0020905014,0.0014776179,0.0025853675,0.0015519371,0.0011693013,0.006230999],"category_scores_gemma":[0.01040334,0.0005184999,0.0009974355,0.0012553027,0.0051970766,0.005440988,0.003056561,0.0030905968,0.00039826642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017335744,0.000005439142,0.00019188198,0.000019507132,0.000004605415,0.000024654595,0.00017518518,0.0006083211,0.00050221226,0.99535877,0.00041199336,0.002680074],"study_design_scores_gemma":[0.000009790511,0.00001110455,0.00040942078,0.0000060427847,0.000004540427,0.000053147025,0.000083447434,0.0044464273,0.00019057383,0.99361175,0.001166353,0.000007288142],"about_ca_topic_score_codex":0.0015261946,"about_ca_topic_score_gemma":0.00094882504,"teacher_disagreement_score":0.006230999,"about_ca_system_score_codex":0.0014826308,"about_ca_system_score_gemma":0.00067233876,"threshold_uncertainty_score":0.020844817},"labels":[],"label_agreement":null},{"id":"W4390716119","doi":"10.1016/j.aim.2023.109477","title":"Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada; International Laboratory of Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics; Bulgarian National Science Fund; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Harvard University; Simons Foundation; Aarhus Universitet; National Science Foundation","keywords":"Mathematics; Symplectic geometry; Isotropy; Foliation (geology); Symplectic manifold; Scheme (mathematics); Lagrangian; Pure mathematics; Manifold (fluid mechanics); Mathematical analysis; Quantum mechanics; Physics","score_opus":0.016213858530998694,"score_gpt":0.29841444342246093,"score_spread":0.2822005848914622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390716119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8059701,0.000403666,0.1495919,0.0008536286,0.0003417743,0.00006866026,0.00013243474,0.00025411486,0.04238375],"genre_scores_gemma":[0.96560794,0.00027843536,0.014161809,0.00017716244,0.00017808785,0.00004358358,0.00014690237,0.00022174428,0.019184412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99910384,0.0002114691,0.00006212385,0.00015699829,0.00023132583,0.00023421005],"domain_scores_gemma":[0.99775535,0.00042569157,0.00037819662,0.00042138423,0.00032505582,0.0006943352],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019223876,0.00097328227,0.0011517873,0.0029083067,0.0031765457,0.003760557,0.0015601388,0.0015981422,0.007056618],"category_scores_gemma":[0.004713604,0.00081658555,0.0012979179,0.0016048859,0.0054890034,0.007174358,0.00522042,0.0030256463,0.0008221372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033188797,0.000018523277,0.00019663028,0.000010465642,0.000004930191,0.00009337127,0.00028525188,0.0006748877,0.0006589491,0.9960312,0.00015340988,0.0018391806],"study_design_scores_gemma":[0.000020009653,0.000035013196,0.00037621346,0.000012253711,0.0000061831556,0.00010268933,0.00016736567,0.006319177,0.0005170228,0.9915844,0.0008451869,0.0000144434825],"about_ca_topic_score_codex":0.0010427504,"about_ca_topic_score_gemma":0.001154698,"teacher_disagreement_score":0.007056618,"about_ca_system_score_codex":0.0018443194,"about_ca_system_score_gemma":0.00089985057,"threshold_uncertainty_score":0.023606777},"labels":[],"label_agreement":null},{"id":"W4391002691","doi":"10.1016/j.aim.2024.109488","title":"SYZ mirror symmetry for del Pezzo surfaces and affine structures","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Canadian Meat Science Association; Simons Foundation; National Science Foundation; National Center for Theoretical Sciences; National Science and Technology Council","keywords":"Mathematics; Affine transformation; Limit (mathematics); Gravitational singularity; Pure mathematics; Mirror symmetry; Limit point; Monotone polygon; Corollary; Smoothing; Mathematical analysis; Geometry","score_opus":0.0377764896046038,"score_gpt":0.34962425472523473,"score_spread":0.31184776512063095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391002691","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59732014,0.0026752967,0.088749856,0.0068570394,0.0015917228,0.00015428662,0.0005958811,0.00046191463,0.30159393],"genre_scores_gemma":[0.9259218,0.0012459727,0.01259036,0.0007161457,0.001185702,0.00011516283,0.0005115237,0.00019216599,0.05752104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961144,0.000076318065,0.00001733243,0.00008758366,0.00011217772,0.0000952623],"domain_scores_gemma":[0.99958783,0.00009738394,0.00008908849,0.00005494396,0.000071558745,0.00009905524],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006447435,0.0013848376,0.0009758752,0.0031813083,0.0027241625,0.0036109863,0.0012024937,0.0019856875,0.011410833],"category_scores_gemma":[0.0017575643,0.0005133276,0.001025041,0.0011984903,0.0032102955,0.0047565564,0.002419562,0.0031175308,0.0015447455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019720279,0.000012929175,0.00008291233,0.000009843542,0.0000031744676,0.00005036585,0.00010664404,0.00024398029,0.0003572787,0.99620515,0.00077305565,0.0021349492],"study_design_scores_gemma":[0.000014654564,0.0000132179875,0.0002248581,0.000005595893,0.000004085388,0.0000862004,0.00008535212,0.0018501423,0.00018215955,0.99550086,0.0020241379,0.000008905582],"about_ca_topic_score_codex":0.0019439787,"about_ca_topic_score_gemma":0.0012135728,"teacher_disagreement_score":0.011410833,"about_ca_system_score_codex":0.0018023932,"about_ca_system_score_gemma":0.00079617975,"threshold_uncertainty_score":0.03817302},"labels":[],"label_agreement":null},{"id":"W4392119539","doi":"10.1016/j.aim.2024.109550","title":"Non-uniqueness times for the maximizer of the KPZ fixed point","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hausdorff dimension; Fixed point; Uniqueness; Dimension (graph theory); Combinatorics; Hausdorff distance; Hausdorff space; Discrete mathematics; Mathematical analysis","score_opus":0.017686759764504473,"score_gpt":0.3168637551309676,"score_spread":0.29917699536646314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392119539","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44299474,0.0035454761,0.4642967,0.009581676,0.0007530606,0.00019343857,0.0006140232,0.0006803572,0.07734049],"genre_scores_gemma":[0.9157995,0.0014941383,0.042151403,0.00055155286,0.0004762375,0.000393238,0.00036671155,0.0005375767,0.0382297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99922776,0.00024520158,0.00004449108,0.00017710472,0.00015705041,0.00014840347],"domain_scores_gemma":[0.99309736,0.0036876542,0.00078136614,0.0002629149,0.0008440911,0.0013266101],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028369266,0.0013032877,0.0013001349,0.0023236533,0.0022659397,0.00424369,0.0026326855,0.0025212623,0.012432429],"category_scores_gemma":[0.016565919,0.0010071669,0.0011696935,0.00091191666,0.004041268,0.009173838,0.0034450807,0.0053054867,0.0012438234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007260456,0.000027752538,0.00024038524,0.000107135194,0.000019232075,0.000081565355,0.00015476054,0.005300733,0.0013843727,0.9888404,0.0012581018,0.0025129507],"study_design_scores_gemma":[0.000034148678,0.000040970055,0.0006072246,0.000068887304,0.000020834694,0.0001508378,0.00022070187,0.08323411,0.0010867742,0.91301775,0.0014633456,0.000054465916],"about_ca_topic_score_codex":0.0012564193,"about_ca_topic_score_gemma":0.0012542796,"teacher_disagreement_score":0.012432429,"about_ca_system_score_codex":0.0030330038,"about_ca_system_score_gemma":0.00216743,"threshold_uncertainty_score":0.04159063},"labels":[],"label_agreement":null},{"id":"W4392328912","doi":"10.1016/j.aim.2024.109579","title":"Flow by powers of the Gauss curvature in space forms","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Golder Associates (Canada)","funders":"National Key Research and Development Program of China; National Natural Science Foundation of China","keywords":"Mathematics; Mean curvature flow; Curvature; Sectional curvature; Space (punctuation); Mathematical analysis; Gaussian curvature; Flow (mathematics); Regular polygon; Euclidean space; Scalar curvature; Geodesic; Geometry; Pure mathematics","score_opus":0.009078828500605407,"score_gpt":0.2908529882591546,"score_spread":0.2817741597585492,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392328912","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3627307,0.008129032,0.4160885,0.00937496,0.0026208041,0.00012518566,0.0004938197,0.0007184055,0.19971871],"genre_scores_gemma":[0.90106326,0.003497855,0.036143836,0.00082554185,0.003046454,0.00007823436,0.00017813795,0.00049210474,0.05467453],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998931,0.00043386818,0.00005565266,0.00019984551,0.0002713672,0.00010831757],"domain_scores_gemma":[0.99785656,0.0008750302,0.00031713865,0.00021843483,0.00036702925,0.0003658325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023585923,0.0015986178,0.0011034891,0.004718649,0.0013992405,0.004165063,0.0011829282,0.0016710669,0.008027053],"category_scores_gemma":[0.00579328,0.00077417755,0.0012443572,0.0016523021,0.005223539,0.011522521,0.002942305,0.004198578,0.0011436684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012118423,0.0000082707475,0.00008573648,0.000014113269,0.00000449395,0.000035608107,0.00018132558,0.0006055275,0.00030732914,0.9959019,0.00047989233,0.002363751],"study_design_scores_gemma":[0.000005772393,0.000012482218,0.00014081372,0.000007671371,0.0000046366117,0.000076004464,0.00003368056,0.004444884,0.00013232225,0.9928294,0.002302993,0.000009381277],"about_ca_topic_score_codex":0.0012537267,"about_ca_topic_score_gemma":0.0010282594,"teacher_disagreement_score":0.008027053,"about_ca_system_score_codex":0.0020226336,"about_ca_system_score_gemma":0.0006646871,"threshold_uncertainty_score":0.026853144},"labels":[],"label_agreement":null},{"id":"W4392337962","doi":"10.1016/j.aim.2024.109577","title":"Automorphisms of the quantum cohomology of the Springer resolution and applications","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Tsinghua University; National Natural Science Foundation of China","keywords":"Mathematics; Automorphism; Cohomology; Resolution (logic); Quantum; Pure mathematics; Quantum cohomology; Algebra over a field; Equivariant cohomology; Quantum mechanics; Artificial intelligence; Computer science; Physics","score_opus":0.015266666499515752,"score_gpt":0.2932741245183892,"score_spread":0.27800745801887344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392337962","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69256413,0.0029556653,0.15170278,0.0030785934,0.0011478681,0.00008311663,0.00012021599,0.00030585198,0.14804178],"genre_scores_gemma":[0.9739523,0.0010231271,0.012246378,0.00018501338,0.00042997664,0.000023913883,0.00003860103,0.000046268568,0.012054538],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997578,0.000047483252,0.000014811739,0.000050719784,0.00008314486,0.000045978126],"domain_scores_gemma":[0.99975985,0.0000523344,0.000041361953,0.000042957403,0.000037512124,0.00006592354],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036883377,0.00034251655,0.00029787808,0.0009522271,0.0008296848,0.00096470374,0.00038980966,0.00043466926,0.0037413056],"category_scores_gemma":[0.0008273511,0.00017095655,0.00058748224,0.00043778823,0.0023527627,0.0022183014,0.0013903182,0.0011024016,0.00032481682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000063544694,0.000015572601,0.00013569374,0.000016726253,0.0000025547613,0.000102838385,0.00018539178,0.00085313735,0.001447451,0.99353445,0.00021382034,0.0034860654],"study_design_scores_gemma":[0.000012138107,0.000041298244,0.0005652574,0.000013701804,0.000005759838,0.00033799754,0.00023185277,0.010143002,0.0021097548,0.9783489,0.008165952,0.000024384562],"about_ca_topic_score_codex":0.00059264473,"about_ca_topic_score_gemma":0.00034176197,"teacher_disagreement_score":0.0037413056,"about_ca_system_score_codex":0.00069930154,"about_ca_system_score_gemma":0.00029494026,"threshold_uncertainty_score":0.0125159025},"labels":[],"label_agreement":null},{"id":"W4394752745","doi":"10.1016/j.aim.2024.109651","title":"Twisting Manin's universal quantum groups and comodule algebras","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Air Force Office of Scientific Research; Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation; Association for Women in Mathematics; American Mathematical Society; Office of Academic Research, U.S. Naval Academy; Simons Foundation; American Institute of Mathematics","keywords":"Mathematics; Pure mathematics; Superpotential; Dual polyhedron; Morita equivalence; Quantum; Quantum cohomology; Bimodule; Cohomology; Equivalence (formal languages); Frobenius algebra; Invariant (physics); Automorphism; Algebra over a field; Algebra representation; Equivariant cohomology; Mathematical physics; Physics","score_opus":0.018581645872753665,"score_gpt":0.2970401121890979,"score_spread":0.27845846631634424,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394752745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5380683,0.0028875975,0.10388157,0.0055005015,0.0010979637,0.00009858823,0.0002687807,0.00045126764,0.3477454],"genre_scores_gemma":[0.96034193,0.0008366554,0.010352994,0.0005789429,0.0006453483,0.00005839734,0.00010396156,0.00006473961,0.027016982],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948114,0.00016892103,0.000021184562,0.00007675061,0.00012563959,0.00012641095],"domain_scores_gemma":[0.9994311,0.00015252951,0.000108910965,0.00009106693,0.00007365462,0.00014275068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009471542,0.00080008205,0.00088161876,0.0020444081,0.0029383977,0.0028757928,0.0009663389,0.0013856019,0.0073877736],"category_scores_gemma":[0.0016385401,0.00041462472,0.00077166373,0.0012927664,0.005008941,0.0056011006,0.0024145907,0.002404247,0.000697781],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000064704586,0.0000059954777,0.000034721757,0.000005446921,0.0000011303102,0.000021201799,0.000112799295,0.00014038983,0.00009539405,0.99854255,0.00020129736,0.00083267037],"study_design_scores_gemma":[0.000003063527,0.0000040069795,0.000049199174,0.0000023061198,9.7104e-7,0.000019819166,0.000040088653,0.0003749562,0.000044240103,0.9985631,0.0008953673,0.0000029407192],"about_ca_topic_score_codex":0.0014958198,"about_ca_topic_score_gemma":0.0016987991,"teacher_disagreement_score":0.0073877736,"about_ca_system_score_codex":0.0016547816,"about_ca_system_score_gemma":0.00075691484,"threshold_uncertainty_score":0.02471459},"labels":[],"label_agreement":null},{"id":"W4394779347","doi":"10.1016/j.aim.2024.109640","title":"The Allen-Cahn equation on the complete Riemannian manifolds of finite volume","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Mathematics; Hypersurface; Allen–Cahn equation; Riemannian manifold; Morse code; Finite volume method; Metric (unit); Minimal volume; Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Mathematical physics; Ricci curvature; Geometry; Hermitian manifold; Physics","score_opus":0.054080087732025155,"score_gpt":0.3126571459262434,"score_spread":0.2585770581942182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394779347","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63438374,0.009004061,0.15895721,0.011513323,0.0010530519,0.000088796616,0.0009254656,0.00020998635,0.18386431],"genre_scores_gemma":[0.9214348,0.0028978153,0.015940234,0.0006458461,0.00079544523,0.000053115673,0.00035698508,0.00008695659,0.05778883],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997243,0.00006554875,0.000011354148,0.000056085537,0.00009747735,0.00004526754],"domain_scores_gemma":[0.99942696,0.0001702813,0.00009067796,0.00005374736,0.00012781571,0.00013053842],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007077108,0.0007998694,0.00088107795,0.0020185374,0.0010686218,0.0017907582,0.0013345852,0.0015597533,0.0044709514],"category_scores_gemma":[0.0021823624,0.00035715685,0.0006378639,0.0008204588,0.0022313294,0.004249673,0.0017196883,0.002030304,0.00043389344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000046694145,0.0000049095656,0.000081915576,0.000010441925,0.0000026832868,0.000030359277,0.000065029184,0.001514825,0.00032587204,0.99627644,0.0005747001,0.0011081398],"study_design_scores_gemma":[0.0000078184285,0.000009227413,0.00040084275,0.000009233558,0.0000039343945,0.00007813133,0.000046269874,0.017294334,0.00014621472,0.97995204,0.0020375138,0.000014472028],"about_ca_topic_score_codex":0.007804475,"about_ca_topic_score_gemma":0.0059860046,"teacher_disagreement_score":0.007804475,"about_ca_system_score_codex":0.0019051442,"about_ca_system_score_gemma":0.001328355,"threshold_uncertainty_score":0.015518129},"labels":[],"label_agreement":null},{"id":"W4395475033","doi":"10.1016/j.aim.2024.109681","title":"Elliptic curves with a rational 2-torsion point ordered by conductor and the boundedness of average rank","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Northern British Columbia","funders":"","keywords":"Mathematics; Conductor; Rank (graph theory); Torsion (gastropod); Elliptic curve; Rational point; Mathematical analysis; Point (geometry); Pure mathematics; Geometry; Combinatorics; Algebraic number","score_opus":0.011487836166874238,"score_gpt":0.27887505940253066,"score_spread":0.26738722323565645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395475033","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6050728,0.002476483,0.34844705,0.001356494,0.00014043509,0.00006608206,0.0003830382,0.0003889027,0.04166884],"genre_scores_gemma":[0.9747116,0.0008748951,0.020610027,0.000075483884,0.0002506248,0.000038969738,0.00018463639,0.00007750309,0.003176145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982071,0.0004183749,0.00011262706,0.00034813074,0.0005951503,0.0003186841],"domain_scores_gemma":[0.9877066,0.0072360076,0.0015317743,0.0013436183,0.0011833801,0.0009987255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020050271,0.00076769834,0.0010260136,0.0029703265,0.0010080737,0.002778695,0.0010549291,0.00050194975,0.003921985],"category_scores_gemma":[0.0121415295,0.00037441903,0.00063116313,0.0018279924,0.0030531106,0.0087095685,0.0019234987,0.0010533599,0.00040780552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000102061626,0.000018660972,0.0043233954,0.000115158786,0.000019410965,0.00022866507,0.00030623027,0.0071102385,0.0026322827,0.9708985,0.0012649968,0.012980352],"study_design_scores_gemma":[0.000021097532,0.00010243794,0.0034883816,0.00007134767,0.000040638184,0.00078467594,0.00030945323,0.05358043,0.0059377975,0.92852104,0.007083381,0.000059375598],"about_ca_topic_score_codex":0.0004394624,"about_ca_topic_score_gemma":0.00033803534,"teacher_disagreement_score":0.003921985,"about_ca_system_score_codex":0.0011349975,"about_ca_system_score_gemma":0.00045338253,"threshold_uncertainty_score":0.013120353},"labels":[],"label_agreement":null},{"id":"W4396717536","doi":"10.1016/j.aim.2024.109702","title":"Total masses of solutions to general Toda systems with singular sources","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Taiwan University; Natural Sciences and Engineering Research Council of Canada; Department of Atomic Energy, Government of India; Simons Foundation","keywords":"Mathematics; Toda lattice; Pure mathematics; Algebra over a field; Mathematical analysis; Integrable system","score_opus":0.02173262994807799,"score_gpt":0.29837402554863834,"score_spread":0.27664139560056034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396717536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77474463,0.0020003545,0.13172852,0.0028347166,0.00091981207,0.00013633208,0.0004260148,0.000606014,0.08660367],"genre_scores_gemma":[0.955794,0.00080199307,0.013641959,0.00040423393,0.0007482131,0.00012865511,0.00038109822,0.00029408306,0.02780566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994567,0.00011933625,0.000039787115,0.000084682615,0.00018315777,0.000116368225],"domain_scores_gemma":[0.9980876,0.00041124254,0.0003528539,0.00013720286,0.00029026714,0.000720687],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012148775,0.0016487443,0.002190485,0.0058350596,0.0034111817,0.005122667,0.0024746845,0.0029777042,0.0087325005],"category_scores_gemma":[0.005697041,0.0012577933,0.0015594058,0.0019579448,0.0042573614,0.004961087,0.0042191283,0.0025293615,0.00088335224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006304751,0.00003419534,0.00021634804,0.000051825173,0.000024953222,0.00014424013,0.00022236111,0.0030758772,0.001301237,0.9925183,0.0008315223,0.0015161576],"study_design_scores_gemma":[0.00004203605,0.000026367372,0.00045563298,0.000024593062,0.000016334538,0.0001873669,0.00014752615,0.028796105,0.00045956124,0.9690609,0.000759262,0.00002427747],"about_ca_topic_score_codex":0.0010701275,"about_ca_topic_score_gemma":0.0013976396,"teacher_disagreement_score":0.0087325005,"about_ca_system_score_codex":0.0024510159,"about_ca_system_score_gemma":0.000992364,"threshold_uncertainty_score":0.02921313},"labels":[],"label_agreement":null},{"id":"W4396851885","doi":"10.1016/j.aim.2024.109705","title":"Infinitely many commensurability classes of compact Coxeter polyhedra in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">H</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math> and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.svg\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">H</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msup></mml:math>","year":2024,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Canada Research Chairs; University of Toronto","funders":"Agence Nationale de la Recherche","keywords":"Polyhedron; Mathematics; Coxeter group; Commensurability (mathematics); Combinatorics; Discrete mathematics; Pure mathematics","score_opus":0.024972006231990432,"score_gpt":0.2692032468731882,"score_spread":0.24423124064119778,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396851885","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52395576,0.00090077263,0.0883271,0.0025765013,0.0007239479,0.00013069836,0.0006931914,0.00082614145,0.38186586],"genre_scores_gemma":[0.9515051,0.00037080803,0.011392786,0.00035889735,0.00032537727,0.00020642728,0.00093350577,0.0002224268,0.034684666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853635,0.00029304725,0.00009279727,0.00034912696,0.00041460467,0.0003140483],"domain_scores_gemma":[0.99752873,0.001121912,0.00025418474,0.00040784778,0.00025151324,0.00043572165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007728092,0.0008227947,0.0008797043,0.0018876807,0.0044598863,0.0062089753,0.0011029042,0.0016616777,0.023331618],"category_scores_gemma":[0.0038369098,0.00074112223,0.0014131813,0.0015979154,0.003531628,0.0049440833,0.0030502642,0.003566743,0.0024191432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010086618,0.00005511877,0.0004945229,0.000043949756,0.0000163115,0.00022234907,0.00033434192,0.00070062064,0.00093123794,0.9880157,0.0027152088,0.0063697034],"study_design_scores_gemma":[0.000065798406,0.00006375935,0.0010146467,0.000042849944,0.000025038002,0.0004549109,0.0005003798,0.005973815,0.0017140445,0.9772832,0.012825565,0.000035990855],"about_ca_topic_score_codex":0.00093732896,"about_ca_topic_score_gemma":0.0014666811,"teacher_disagreement_score":0.023331618,"about_ca_system_score_codex":0.0021495086,"about_ca_system_score_gemma":0.0007191758,"threshold_uncertainty_score":0.078052044},"labels":[],"label_agreement":null},{"id":"W4398196776","doi":"10.1016/j.aim.2024.109737","title":"James reduced product schemes and double quasisymmetric functions","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo","keywords":"Mathematics; Product (mathematics); Pure mathematics; Algebra over a field; Arithmetic; Geometry","score_opus":0.03575400162616402,"score_gpt":0.35025864357799025,"score_spread":0.31450464195182626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4398196776","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68769526,0.00063511456,0.15725513,0.0009684682,0.0001939196,0.000063354106,0.00021589044,0.00026065035,0.1527123],"genre_scores_gemma":[0.96582955,0.0002745895,0.015140588,0.0001018553,0.000114644325,0.000023225442,0.00012186938,0.00004242468,0.018351225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995975,0.00006763233,0.00001697144,0.0000759788,0.00015964397,0.00008228158],"domain_scores_gemma":[0.99954236,0.000068786874,0.000063040934,0.00009978383,0.00011916133,0.00010693691],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005950465,0.00030982055,0.00025885104,0.0013338411,0.0011504829,0.001887926,0.0005321471,0.000369426,0.0056017935],"category_scores_gemma":[0.00085973495,0.00020980967,0.00038749698,0.0006378973,0.0024682225,0.0028389506,0.0014680758,0.0010083291,0.0006247995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006844713,0.0000049705773,0.0001954324,0.000007831084,0.0000012646217,0.000039828814,0.0001288271,0.0002254361,0.00086447055,0.9959785,0.00018670621,0.0023599155],"study_design_scores_gemma":[0.000011744641,0.00006143948,0.0016944226,0.00001680697,0.000012687836,0.0004420429,0.00040750444,0.006214616,0.0046438472,0.9620872,0.024380902,0.00002673801],"about_ca_topic_score_codex":0.0008933464,"about_ca_topic_score_gemma":0.00090517005,"teacher_disagreement_score":0.0056017935,"about_ca_system_score_codex":0.0008286759,"about_ca_system_score_gemma":0.0004275318,"threshold_uncertainty_score":0.01873988},"labels":[],"label_agreement":null},{"id":"W4399180281","doi":"10.1016/j.aim.2024.109732","title":"Quantum no-signalling bicorrelations","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo; National Science Foundation","keywords":"Mathematics; Signalling; Quantum; Mathematical economics; Quantum mechanics","score_opus":0.0130196803580581,"score_gpt":0.29135389821864344,"score_spread":0.2783342178605853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399180281","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1628574,0.0016077165,0.3774279,0.011754154,0.0060602217,0.00024621424,0.0010622892,0.0027022038,0.43628192],"genre_scores_gemma":[0.9195854,0.00048068952,0.02505655,0.0030111994,0.0008356873,0.00013505238,0.0003015011,0.00041091247,0.050183073],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966139,0.00076492206,0.0001693434,0.0007222758,0.001052548,0.0006770429],"domain_scores_gemma":[0.99195975,0.0030600536,0.0004738254,0.0025857817,0.0012565473,0.0006640007],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020400963,0.000881801,0.0011747103,0.0010760444,0.0024844916,0.0035214517,0.0015934531,0.002514912,0.024621401],"category_scores_gemma":[0.0138979675,0.00055828353,0.0007640444,0.00086636515,0.0040461035,0.005636085,0.00408661,0.0042102747,0.0045608026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014402196,0.000017970353,0.00006603548,0.00003420492,0.000008899789,0.00004183439,0.00006112889,0.0010840734,0.001073786,0.9892202,0.003326793,0.004921095],"study_design_scores_gemma":[0.000018119883,0.000019975352,0.000053321783,0.000015444457,0.000008852545,0.00006879509,0.000029608807,0.006257554,0.0015603446,0.98845917,0.0034843483,0.000024387176],"about_ca_topic_score_codex":0.0006234561,"about_ca_topic_score_gemma":0.00079930975,"teacher_disagreement_score":0.024621401,"about_ca_system_score_codex":0.0010342441,"about_ca_system_score_gemma":0.0013817429,"threshold_uncertainty_score":0.082366765},"labels":[],"label_agreement":null},{"id":"W4399402860","doi":"10.1016/j.aim.2024.109746","title":"Characterizing slopes for satellite knots","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Fonds de recherche du Québec – Nature et technologies","keywords":"Mathematics; Satellite; Pure mathematics; Astronomy","score_opus":0.03641095556396728,"score_gpt":0.35401043124745624,"score_spread":0.31759947568348895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399402860","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96557397,0.00015392624,0.025464945,0.000073104755,0.0000134734455,0.000016882652,0.00017917319,0.00007860525,0.008446006],"genre_scores_gemma":[0.99142027,0.00015564967,0.0062289983,0.000015751482,0.000025532338,0.000015771506,0.00029354417,0.000049772018,0.0017946564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995715,0.000044797995,0.000031784355,0.0001214405,0.00012564208,0.00010486812],"domain_scores_gemma":[0.9981736,0.000361298,0.0005499711,0.00024179225,0.00028278813,0.00039053021],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005113883,0.00045534477,0.00036742614,0.001764736,0.0009356969,0.0024380914,0.00042141258,0.000555767,0.002397179],"category_scores_gemma":[0.0033066878,0.00041155986,0.00039356656,0.0009385617,0.0018665805,0.0026956059,0.0015854767,0.0011563479,0.00048559002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003229892,0.00007801132,0.06759133,0.00018019984,0.000040434392,0.0013634063,0.004181515,0.02004076,0.07332397,0.79996544,0.0016051206,0.0313068],"study_design_scores_gemma":[0.000047954294,0.00043765086,0.063955,0.00023105442,0.00008609108,0.003347756,0.0066376664,0.06361258,0.04074213,0.7907565,0.029958272,0.00018730389],"about_ca_topic_score_codex":0.00061122264,"about_ca_topic_score_gemma":0.0007020272,"teacher_disagreement_score":0.0024380914,"about_ca_system_score_codex":0.0006080382,"about_ca_system_score_gemma":0.00025472188,"threshold_uncertainty_score":0.008019388},"labels":[],"label_agreement":null},{"id":"W4399425095","doi":"10.1016/j.aim.2024.109739","title":"Computads for weak ω-categories as an inductive type","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Type (biology); Pure mathematics","score_opus":0.03624718253444117,"score_gpt":0.3827350438877747,"score_spread":0.34648786135333354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399425095","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18341014,0.0035617668,0.530508,0.0059764073,0.0021647115,0.00022499081,0.00091045635,0.0010982973,0.2721452],"genre_scores_gemma":[0.87184227,0.0013943354,0.05249147,0.00095360633,0.0011736769,0.00039155802,0.00062106125,0.00048325883,0.07064879],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972663,0.00068634434,0.00021939071,0.0006933637,0.00070425234,0.00043037604],"domain_scores_gemma":[0.9945648,0.00271657,0.0003359983,0.00079702516,0.0007762149,0.00080942205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003249253,0.0012112799,0.0015823684,0.0062506585,0.005336015,0.009323568,0.0028429977,0.002884062,0.017081786],"category_scores_gemma":[0.0057139476,0.0014016385,0.002309573,0.0034276962,0.008788542,0.023690006,0.010804328,0.007724182,0.0019029286],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000067043156,0.00000654921,0.00008009943,0.000009826598,0.0000022551117,0.000019867319,0.00012620907,0.000045407924,0.00008753249,0.99870646,0.00017221342,0.00073680765],"study_design_scores_gemma":[0.000014417454,0.00001326598,0.00017023909,0.000016279912,0.000013817622,0.00009851922,0.00017796262,0.0008323082,0.00031361432,0.9926334,0.005702089,0.000014054787],"about_ca_topic_score_codex":0.0010685495,"about_ca_topic_score_gemma":0.0012837908,"teacher_disagreement_score":0.017081786,"about_ca_system_score_codex":0.0025260204,"about_ca_system_score_gemma":0.0009649708,"threshold_uncertainty_score":0.057144284},"labels":[],"label_agreement":null},{"id":"W4399778101","doi":"10.1016/j.aim.2024.109791","title":"Quadratic duality for chiral algebras","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"National Key Research and Development Program of China; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Tsinghua University; Government of Canada; Ministry of Colleges and Universities","keywords":"Mathematics; Duality (order theory); Quadratic equation; Pure mathematics; Quadratic algebra; Strong duality; Algebra over a field; Mathematical optimization; Jordan algebra; Optimization problem; Geometry; Algebra representation","score_opus":0.03399641013603276,"score_gpt":0.3685055454519619,"score_spread":0.33450913531592913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399778101","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26534957,0.006325766,0.120754555,0.014777065,0.002563471,0.00008783118,0.0004559897,0.0003984027,0.58928734],"genre_scores_gemma":[0.9050331,0.001996659,0.017051244,0.001749666,0.0031817507,0.0001038765,0.0004365813,0.00015769176,0.07028941],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989888,0.00032901092,0.000043886488,0.00014911541,0.00033974697,0.00014934312],"domain_scores_gemma":[0.99900323,0.00031006534,0.0001211254,0.00009812814,0.00024403521,0.00022351515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001476499,0.0009870882,0.0012416466,0.0030102304,0.0024883908,0.0048548067,0.0012650815,0.0017171572,0.009299511],"category_scores_gemma":[0.0025973134,0.00057801045,0.00087007723,0.0018330798,0.005154112,0.0063364166,0.0026674632,0.004713902,0.0013045432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000059226927,0.0000088483985,0.000023492828,0.000008624028,0.0000014608557,0.000010138405,0.000043412438,0.00011185709,0.00010221006,0.9984268,0.0005315226,0.000725757],"study_design_scores_gemma":[0.000006074931,0.000003845596,0.000036782123,0.0000030003391,0.0000010251339,0.00001758814,0.000015507303,0.00078330655,0.000037819213,0.9980757,0.0010159382,0.0000033270292],"about_ca_topic_score_codex":0.0021314886,"about_ca_topic_score_gemma":0.0015835185,"teacher_disagreement_score":0.009299511,"about_ca_system_score_codex":0.0027274094,"about_ca_system_score_gemma":0.0012173378,"threshold_uncertainty_score":0.031109989},"labels":[],"label_agreement":null},{"id":"W4400020081","doi":"10.1016/j.aim.2024.109795","title":"On the codimension-two cohomology of SLn(Z)","year":2024,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"H2020 European Research Council; Danmarks Grundforskningsfond; Deutsche Forschungsgemeinschaft; Natural Sciences and Engineering Research Council of Canada; McMaster University; Engineering Research Centers; National Sleep Foundation; Simons Foundation; European Research Council; Vetenskapsrådet; National Science Foundation","keywords":"Mathematics; Codimension; Scalable Vector Graphics; Computer science; Pure mathematics; World Wide Web","score_opus":0.02053204146729464,"score_gpt":0.3355984939256764,"score_spread":0.3150664524583818,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400020081","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76449835,0.0034482798,0.030694565,0.0048818165,0.0011944481,0.000050957846,0.00040083687,0.00025804742,0.1945728],"genre_scores_gemma":[0.9681248,0.0013402731,0.0033907727,0.00038255285,0.00081909524,0.000026573836,0.000252771,0.00007409,0.02558905],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956244,0.00009258476,0.000018818831,0.00008087495,0.00011464847,0.00013068393],"domain_scores_gemma":[0.9991278,0.0002676409,0.0001541227,0.00006618507,0.00012795988,0.00025637692],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076955877,0.0014317654,0.00095862884,0.0038729417,0.0019993524,0.002604529,0.0014055785,0.0009810883,0.009060164],"category_scores_gemma":[0.0015283201,0.00034053664,0.00050275226,0.0018080411,0.0044729705,0.0052821254,0.0030877055,0.0021813947,0.00090096204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010949892,0.000054632706,0.0007217552,0.00009467561,0.000012874588,0.00027299504,0.00080230786,0.0008806239,0.001993458,0.9838045,0.001912262,0.00934034],"study_design_scores_gemma":[0.000017666967,0.000026929558,0.0010525014,0.000027192014,0.000007767785,0.00016488663,0.00017471827,0.0035003875,0.00041208396,0.99224865,0.002344909,0.000022252967],"about_ca_topic_score_codex":0.0025007902,"about_ca_topic_score_gemma":0.0021345639,"teacher_disagreement_score":0.009060164,"about_ca_system_score_codex":0.0018052369,"about_ca_system_score_gemma":0.00069785083,"threshold_uncertainty_score":0.03030932},"labels":[],"label_agreement":null},{"id":"W4400500820","doi":"10.1016/j.aim.2024.109830","title":"Topological boundaries of representations and coideals","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Université de Caen Normandie; Ministry of Science and ICT, South Korea; National Research Foundation of Korea; Division of Mathematical Sciences; Samsung Science and Technology Foundation; Samsung; Agence Nationale de la Recherche; National Research Foundation","keywords":"Compact quantum group; Mathematics; Unimodular matrix; Compact group; Discrete group; Pure mathematics; Locally compact space; Noncommutative geometry; Quantum; TRACE (psycholinguistics); Subalgebra; Relatively compact subspace; Group (periodic table); Lie group; Discrete mathematics; Algebra over a field; Quantum mechanics; Compact space; Physics","score_opus":0.049657502794271,"score_gpt":0.4386533374798322,"score_spread":0.3889958346855612,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400500820","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54998666,0.0035371126,0.1807882,0.007059772,0.0009529129,0.00009370069,0.00045121438,0.0005409891,0.25658956],"genre_scores_gemma":[0.969068,0.0007921979,0.012993892,0.00036516995,0.00050717645,0.00006806159,0.00026582065,0.00013377587,0.015805911],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99859685,0.00037346536,0.000076746874,0.00025901725,0.0003939982,0.00029985784],"domain_scores_gemma":[0.9965758,0.0014031309,0.00045726245,0.000329421,0.0005392957,0.0006951704],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018162756,0.00061287114,0.0008062726,0.003959138,0.0027505464,0.0060440064,0.0012649833,0.001523533,0.007896047],"category_scores_gemma":[0.00601305,0.00059300155,0.00063638645,0.0016157827,0.007825379,0.010759243,0.004172166,0.00366678,0.0007696241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008163959,0.0000043493633,0.000043578188,0.0000056034078,0.0000010242218,0.000012197125,0.00013099985,0.00006792385,0.000104259176,0.9988457,0.00013643788,0.0006397188],"study_design_scores_gemma":[0.0000070199135,0.000005931463,0.00008912069,0.000005959848,0.000001932287,0.000034206794,0.00015349936,0.0006010374,0.0001928064,0.99746704,0.0014364187,0.0000050670087],"about_ca_topic_score_codex":0.0008462701,"about_ca_topic_score_gemma":0.0005109595,"teacher_disagreement_score":0.007896047,"about_ca_system_score_codex":0.001992248,"about_ca_system_score_gemma":0.00080156093,"threshold_uncertainty_score":0.026414871},"labels":[],"label_agreement":null},{"id":"W4400648145","doi":"10.1016/j.aim.2024.109834","title":"Forest polynomials and the class of the permutahedral variety","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Difference polynomials; Discrete orthogonal polynomials; Classical orthogonal polynomials; Variety (cybernetics); Combinatorics; Wilson polynomials; Polynomial; Generalization; Orthogonal polynomials; Schur polynomial; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.015192139312754753,"score_gpt":0.30992241563134054,"score_spread":0.2947302763185858,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400648145","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7293917,0.002086313,0.06066383,0.0027850487,0.0005588627,0.000036519537,0.000544865,0.00024728308,0.20368549],"genre_scores_gemma":[0.979486,0.000671015,0.003936176,0.0001289418,0.00039010984,0.000015662285,0.000202677,0.000044948083,0.015124542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968445,0.00006419168,0.000009896213,0.00006746775,0.000090741465,0.00008329677],"domain_scores_gemma":[0.99949694,0.00020690293,0.00007774621,0.00005408618,0.000065152715,0.00009907128],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050091307,0.00036057254,0.0005195284,0.0014138281,0.0015348187,0.0022354587,0.0006773876,0.0005016431,0.007906528],"category_scores_gemma":[0.0013988288,0.00022418324,0.00046293266,0.0011731767,0.0029196562,0.0028645722,0.0010047073,0.0016610144,0.00085945154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003508247,0.0000075211124,0.00018715837,0.000013321902,0.0000028039797,0.000036683457,0.00011145848,0.0004117431,0.00050566765,0.9929334,0.0008816003,0.004873535],"study_design_scores_gemma":[0.000019469493,0.000017498654,0.00053019676,0.000008285644,0.0000052371756,0.00015412238,0.0000823505,0.0021826187,0.00039929326,0.99089676,0.0056929435,0.000011192231],"about_ca_topic_score_codex":0.0019788868,"about_ca_topic_score_gemma":0.0011297356,"teacher_disagreement_score":0.007906528,"about_ca_system_score_codex":0.0010562515,"about_ca_system_score_gemma":0.0005073226,"threshold_uncertainty_score":0.026449978},"labels":[],"label_agreement":null},{"id":"W4400724764","doi":"10.1016/j.aim.2024.109845","title":"Dihedral long root A-packets of p-adic G2 via theta correspondence","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; University of Calgary","funders":"","keywords":"Mathematics; Dihedral angle; Dihedral group; Zero (linguistics); Pure mathematics; Root (linguistics); Field (mathematics); Network packet; Group (periodic table); Chemistry","score_opus":0.019545016322344098,"score_gpt":0.347050643870621,"score_spread":0.3275056275482769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400724764","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9301982,0.00011503733,0.03853136,0.00026535848,0.00012027718,0.000056582627,0.000100372374,0.00027136126,0.0303415],"genre_scores_gemma":[0.98206437,0.00008869807,0.005275197,0.00006893926,0.00006172096,0.000033591812,0.0000871632,0.00007721148,0.012243167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971944,0.00005289102,0.000010081892,0.000052133226,0.00008215721,0.00008331089],"domain_scores_gemma":[0.99967766,0.00004938079,0.00005587008,0.0000418432,0.000030968324,0.00014430349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003683499,0.00085812964,0.00043113905,0.0015020982,0.000822576,0.002230699,0.0006023995,0.00066349213,0.0049404292],"category_scores_gemma":[0.0006491545,0.00028422973,0.0005195314,0.00060551014,0.0016713771,0.00215925,0.0022032368,0.0013436434,0.0009467775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019112445,0.00008706564,0.0013497631,0.000044480992,0.000018019622,0.0008136756,0.0007784328,0.002093996,0.010707251,0.9759152,0.00089235464,0.0071086152],"study_design_scores_gemma":[0.00025559895,0.0006972971,0.0040558563,0.000055078555,0.00005262584,0.0018024524,0.0018183277,0.03102992,0.016359698,0.92655027,0.017242707,0.00008015809],"about_ca_topic_score_codex":0.00034442308,"about_ca_topic_score_gemma":0.00024483178,"teacher_disagreement_score":0.0049404292,"about_ca_system_score_codex":0.00068489584,"about_ca_system_score_gemma":0.00026268375,"threshold_uncertainty_score":0.016527355},"labels":[],"label_agreement":null},{"id":"W4401091685","doi":"10.1016/j.aim.2024.109853","title":"Enhanced profile estimates for ovals and translators","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Optical measurement and interference techniques","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; H2020 European Research Council; National Research Foundation of Korea","keywords":"Mathematics","score_opus":0.027177279792238152,"score_gpt":0.331220119749916,"score_spread":0.30404283995767784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401091685","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.007154265,0.00012447737,0.9912492,0.000047654903,0.000024682611,0.000016402368,0.00009780688,0.0002650009,0.0010205045],"genre_scores_gemma":[0.26094812,0.00073885475,0.728828,0.000085174,0.00015103148,0.00010049387,0.00081906386,0.00063009415,0.007699139],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990583,0.00026116514,0.000054112275,0.00018200839,0.0003417637,0.00010268392],"domain_scores_gemma":[0.99466455,0.0024137152,0.00049167685,0.0008003653,0.0014598683,0.00016973272],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017798066,0.0012311894,0.0007780945,0.0015392349,0.00044850644,0.0017582916,0.0013190819,0.0015244081,0.0053396663],"category_scores_gemma":[0.01583618,0.0006241736,0.0009355698,0.00117781,0.0006429946,0.0032962505,0.0017343913,0.0016254607,0.0038643894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010622204,0.000136094,0.0047781304,0.00061306055,0.00011899788,0.00056057004,0.0005152716,0.30363053,0.0630018,0.14902392,0.010734267,0.4658252],"study_design_scores_gemma":[0.000015328922,0.000067576926,0.001028081,0.000055133536,0.00002812993,0.00023662139,0.000075241274,0.9567558,0.013187057,0.023791617,0.0047153765,0.000044106957],"about_ca_topic_score_codex":0.0018913012,"about_ca_topic_score_gemma":0.001577305,"teacher_disagreement_score":0.0053396663,"about_ca_system_score_codex":0.00048689364,"about_ca_system_score_gemma":0.0007337197,"threshold_uncertainty_score":0.017862916},"labels":[],"label_agreement":null},{"id":"W4403100003","doi":"10.1016/j.aim.2024.109963","title":"The category of topological spaces and open maps does not have products","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Air Force Office of Scientific Research","keywords":"Mathematics; Category of topological spaces; Topological space; Pure mathematics; Concrete category; Topology (electrical circuits); Topological tensor product; Functor; Combinatorics; Functional analysis","score_opus":0.022682382539150444,"score_gpt":0.30833949128197874,"score_spread":0.2856571087428283,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403100003","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4224745,0.0036149113,0.3570901,0.0065845926,0.002543518,0.00014369268,0.001926816,0.0015424929,0.20407942],"genre_scores_gemma":[0.9295811,0.00090479176,0.034507908,0.0011607329,0.00066997966,0.0001841334,0.0015582917,0.00039051066,0.031042496],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99536055,0.00060111895,0.00047025274,0.0015749369,0.0013976247,0.00059555745],"domain_scores_gemma":[0.98733693,0.0042995024,0.0011342419,0.002337124,0.0032055723,0.0016866012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032461442,0.0012675993,0.002067132,0.0027149052,0.0044837785,0.0077247773,0.0025360833,0.0026210821,0.006311098],"category_scores_gemma":[0.0071070064,0.0013227497,0.0024250965,0.0019224873,0.010091435,0.02677196,0.010250823,0.0048196386,0.0018585738],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001446641,0.00005183341,0.00097391685,0.00009484996,0.000047092526,0.00020778732,0.0003444867,0.00012681971,0.0007671521,0.9905123,0.0013191453,0.005409973],"study_design_scores_gemma":[0.00003014396,0.000059858845,0.0004319066,0.000018960116,0.0000419984,0.00082070427,0.00020924554,0.00077195774,0.0010240535,0.9874942,0.009070963,0.000026092426],"about_ca_topic_score_codex":0.0007009065,"about_ca_topic_score_gemma":0.0005591676,"teacher_disagreement_score":0.0077247773,"about_ca_system_score_codex":0.0012073865,"about_ca_system_score_gemma":0.0013378195,"threshold_uncertainty_score":0.02111268},"labels":[],"label_agreement":null},{"id":"W4403733087","doi":"10.1016/j.aim.2024.109976","title":"Spectral invariants over the integers","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Courtois Foundation; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Pure mathematics; Combinatorics","score_opus":0.02215215400671669,"score_gpt":0.33993162418187256,"score_spread":0.31777947017515584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403733087","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22445424,0.005725328,0.12127437,0.0055072727,0.002083387,0.000056530294,0.00081112125,0.00095671613,0.63913095],"genre_scores_gemma":[0.925894,0.002361357,0.012478879,0.0006163622,0.0022662324,0.000036567235,0.0004320291,0.00019766082,0.05571691],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936634,0.00013043331,0.000033196146,0.00012282054,0.00024038106,0.000106710686],"domain_scores_gemma":[0.999094,0.0002294901,0.00016603793,0.00011129213,0.00022319525,0.00017594828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082030054,0.0007671049,0.0004929909,0.004328842,0.0011433935,0.003525857,0.000650543,0.0005421917,0.009447038],"category_scores_gemma":[0.0020068276,0.0002862825,0.00037458164,0.0017697538,0.0025051844,0.0053364127,0.0016532872,0.0019228699,0.0018845228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010481909,0.000007711816,0.0000662386,0.00001369872,0.0000019053891,0.000009258346,0.00007447456,0.00014957295,0.00027588368,0.9934012,0.0012780514,0.004711456],"study_design_scores_gemma":[0.0000056325134,0.000008100506,0.0001762255,0.000010910969,0.0000041387625,0.000042454467,0.00007507654,0.00079636346,0.0003091173,0.991039,0.007526868,0.00000612371],"about_ca_topic_score_codex":0.0006460737,"about_ca_topic_score_gemma":0.00047271763,"teacher_disagreement_score":0.009447038,"about_ca_system_score_codex":0.0012052836,"about_ca_system_score_gemma":0.00056720217,"threshold_uncertainty_score":0.031603515},"labels":[],"label_agreement":null},{"id":"W4404259532","doi":"10.1016/j.aim.2024.109999","title":"Stable ordered-union versus selective ultrafilters","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Education - Singapore","keywords":"Mathematics; Pure mathematics","score_opus":0.02621275258858195,"score_gpt":0.35111650353782725,"score_spread":0.3249037509492453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404259532","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35731772,0.0028075918,0.5106731,0.0026008755,0.00043777324,0.000047401452,0.0003470302,0.0005004655,0.12526801],"genre_scores_gemma":[0.95671344,0.0007754489,0.02464423,0.00032080722,0.00040042988,0.00003814888,0.0001730188,0.00012516222,0.016809337],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986413,0.0003436237,0.000105163235,0.00027297984,0.00038643533,0.00025059187],"domain_scores_gemma":[0.994706,0.0028621324,0.00043261505,0.00097131834,0.0005595706,0.0004684997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002260317,0.0005168508,0.0007405568,0.0015474153,0.0016598033,0.0034819713,0.0011032857,0.0012105579,0.00704361],"category_scores_gemma":[0.005294883,0.0004901736,0.0007890535,0.0014038774,0.004548719,0.014443561,0.0030510256,0.0020625168,0.00075837766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004047165,0.0000068575314,0.00013595968,0.000022369524,0.0000046118034,0.000030057052,0.00017730743,0.00019631592,0.00043737507,0.99612075,0.0001919657,0.0026358645],"study_design_scores_gemma":[0.000016217738,0.00003207562,0.000224328,0.000012205083,0.000018357854,0.00013776693,0.00023713404,0.002766319,0.0018198802,0.99140996,0.003315089,0.000010592175],"about_ca_topic_score_codex":0.000436008,"about_ca_topic_score_gemma":0.0004594149,"teacher_disagreement_score":0.00704361,"about_ca_system_score_codex":0.0008545459,"about_ca_system_score_gemma":0.0004693224,"threshold_uncertainty_score":0.023563206},"labels":[],"label_agreement":null},{"id":"W4405360069","doi":"10.1016/j.aim.2024.110080","title":"Making the motivic group structure on the endomorphisms of the projective line explicit","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Center for Advanced Study, University of Illinois at Urbana-Champaign; Norges Forskningsråd; Réseau de cancérologie Rossy; Trond Mohn stiftelse","keywords":"Mathematics; Endomorphism; Projective test; Projective line; Pure mathematics; Group (periodic table); Line (geometry); Projective representation; Algebra over a field; Projective space; Geometry","score_opus":0.0417528127529969,"score_gpt":0.3294000006431694,"score_spread":0.28764718789017246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405360069","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55151105,0.00047690753,0.2954159,0.001212348,0.00025306593,0.00011069858,0.0002754993,0.00042887047,0.15031572],"genre_scores_gemma":[0.9424986,0.000310839,0.03930096,0.00017851566,0.00015747221,0.000096656215,0.00020307492,0.00006808777,0.017185736],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995276,0.000088373934,0.000017552014,0.00013301491,0.00012778117,0.00010586128],"domain_scores_gemma":[0.9995766,0.0000625005,0.000092844355,0.000096655975,0.0000757997,0.00009560145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042694592,0.00036881847,0.00032182536,0.0014090778,0.0013045538,0.0018279064,0.00050770526,0.0004326828,0.0035655892],"category_scores_gemma":[0.0006213262,0.0002634319,0.00041659136,0.00057162123,0.003194265,0.0024201365,0.0024626977,0.001192768,0.0008018047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021278405,0.000021328324,0.00062309485,0.000025095698,0.0000047766434,0.00016673435,0.0008562899,0.00042091787,0.0031382747,0.98742026,0.00035006015,0.0069519742],"study_design_scores_gemma":[0.00004709344,0.00018655718,0.003859298,0.00006038504,0.000026409873,0.0008580182,0.00092271116,0.0070964885,0.008325172,0.91639423,0.062166877,0.000056748464],"about_ca_topic_score_codex":0.0007511768,"about_ca_topic_score_gemma":0.0006948704,"teacher_disagreement_score":0.0035655892,"about_ca_system_score_codex":0.00067468575,"about_ca_system_score_gemma":0.00037715724,"threshold_uncertainty_score":0.0119280815},"labels":[],"label_agreement":null},{"id":"W4405419092","doi":"10.1016/j.aim.2024.110081","title":"Answers to questions of Grünbaum and Loewner","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Waterloo; University of the Fraser Valley","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics","score_opus":0.029808335768260967,"score_gpt":0.36890235054990245,"score_spread":0.3390940147816415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405419092","genre_codex":"commentary","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1234483,0.02132698,0.27885035,0.3330534,0.008279987,0.00010795211,0.0013176574,0.0006560683,0.23295936],"genre_scores_gemma":[0.8371479,0.0076775765,0.06848719,0.035537444,0.007267151,0.00023702573,0.0013304699,0.00035821952,0.041957036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966395,0.0013033333,0.00014538445,0.00078122737,0.0007283462,0.0004021907],"domain_scores_gemma":[0.98702884,0.008069353,0.00093779294,0.0013327714,0.001896337,0.000734868],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0051279385,0.0008625478,0.0013811239,0.0011048133,0.0033122965,0.0023805131,0.0023576096,0.006716863,0.013091051],"category_scores_gemma":[0.026731743,0.00061982387,0.0010720815,0.0013801615,0.009168696,0.016210923,0.0065985057,0.007692269,0.0021150843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012228159,0.000045665063,0.0006390359,0.00017244503,0.000017716919,0.00010629289,0.00056513486,0.0011568213,0.00038769763,0.9579943,0.025959626,0.012832931],"study_design_scores_gemma":[0.000026305888,0.000022802004,0.0003827583,0.00005081882,0.0000067174983,0.00009009179,0.00036825973,0.0010525427,0.00018707337,0.97941667,0.018377922,0.000017978724],"about_ca_topic_score_codex":0.0011527648,"about_ca_topic_score_gemma":0.00077562715,"teacher_disagreement_score":0.013091051,"about_ca_system_score_codex":0.0018239807,"about_ca_system_score_gemma":0.00087537896,"threshold_uncertainty_score":0.043793976},"labels":[],"label_agreement":null},{"id":"W4405654186","doi":"10.1016/j.aim.2025.110728","title":"Four-manifolds, two-complexes and the quadratic bias invariant","year":2025,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Heilbronn Institute for Mathematical Research; Natural Sciences and Engineering Research Council of Canada; University of Glasgow","keywords":"Invariant (physics); Quadratic equation; Mathematics; Pure mathematics; Mathematical physics; Geometry","score_opus":0.06474973650754949,"score_gpt":0.341871163948398,"score_spread":0.2771214274408485,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405654186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8522614,0.0018875496,0.070217445,0.0013870131,0.0002060918,0.000046870322,0.00022993503,0.00014844534,0.07361522],"genre_scores_gemma":[0.98274153,0.00034452273,0.0076568862,0.000094521565,0.00006179763,0.00001928202,0.00014018147,0.000027087419,0.008914297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970895,0.00003817289,0.000016494636,0.000062866755,0.000114228365,0.00005938836],"domain_scores_gemma":[0.99967074,0.000059771668,0.00006332115,0.000041017553,0.00007032528,0.00009483583],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003336221,0.0005017369,0.0003505445,0.001804365,0.0010883118,0.0014413443,0.00061373826,0.00055868865,0.0024665655],"category_scores_gemma":[0.0007993623,0.00019667335,0.00037338768,0.0006222053,0.00227779,0.0029886232,0.00198599,0.0008417684,0.00025342056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018271883,0.000008793138,0.0005247739,0.000025453106,0.0000047072194,0.000108465,0.00021262984,0.00071268145,0.0026475815,0.9910261,0.00032693238,0.0043836613],"study_design_scores_gemma":[0.000016503893,0.000039216317,0.0013777991,0.000017047718,0.000008424694,0.00030120814,0.00025819117,0.0065670335,0.0031408365,0.9742338,0.014019415,0.00002044094],"about_ca_topic_score_codex":0.0010815421,"about_ca_topic_score_gemma":0.0007389256,"teacher_disagreement_score":0.0024665655,"about_ca_system_score_codex":0.0011264334,"about_ca_system_score_gemma":0.0002620149,"threshold_uncertainty_score":0.008251488},"labels":[],"label_agreement":null},{"id":"W4406045771","doi":"10.1016/j.aim.2024.110092","title":"Shifted symplectic structures on derived Quot-stacks II – derived Quot-schemes as dg manifolds","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Algebra over a field","score_opus":0.015773250834828844,"score_gpt":0.323685317116748,"score_spread":0.30791206628191914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406045771","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8863871,0.000994861,0.07254155,0.0005211901,0.00017873588,0.00005574103,0.00017958865,0.0000932708,0.039047893],"genre_scores_gemma":[0.97929263,0.00046455828,0.011473841,0.00007320669,0.0000719661,0.000027822134,0.00014105509,0.000033443728,0.008421556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968994,0.000061924744,0.000022137529,0.000063070926,0.00009726051,0.00006565254],"domain_scores_gemma":[0.9996226,0.00005655968,0.00008997377,0.000055205284,0.00008415754,0.00009158863],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005009808,0.00052735803,0.0004074908,0.0019693663,0.00102151,0.0019243016,0.0005400996,0.00059397164,0.0036614186],"category_scores_gemma":[0.00080747437,0.00026010137,0.00055724685,0.00089852983,0.0022719675,0.0035867894,0.0019789643,0.0011879564,0.00038798933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021095862,0.000010161696,0.00060560874,0.000030412679,0.00000812294,0.00014675321,0.0006439136,0.0010494653,0.0027244834,0.9910001,0.00019324887,0.0035666982],"study_design_scores_gemma":[0.00002563257,0.00011502576,0.002831103,0.000060349274,0.000027591544,0.00055127207,0.00079235266,0.014284381,0.0043370025,0.9673891,0.0095509095,0.000035437843],"about_ca_topic_score_codex":0.0005926498,"about_ca_topic_score_gemma":0.00039116913,"teacher_disagreement_score":0.0036614186,"about_ca_system_score_codex":0.0010094441,"about_ca_system_score_gemma":0.00032605726,"threshold_uncertainty_score":0.012248695},"labels":[],"label_agreement":null},{"id":"W4406469218","doi":"10.1016/j.aim.2025.110113","title":"Bumpless pipe dreams meet puzzles","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algorithms and Data Compression","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Fundamental Research Funds for the Central Universities; National University's Basic Research Foundation of China; Peking University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Calculus (dental); Mathematical economics; Algebra over a field; Pure mathematics; Medicine","score_opus":0.009262990509366471,"score_gpt":0.29030721210328836,"score_spread":0.2810442215939219,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406469218","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.023577906,0.021002058,0.42677286,0.32694796,0.014714256,0.00011649957,0.0015211191,0.0055192965,0.17982805],"genre_scores_gemma":[0.49261686,0.022158572,0.19779406,0.04224065,0.015985042,0.0006028809,0.0018938351,0.0073735397,0.21933459],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854064,0.00035529723,0.00004861534,0.00024198522,0.00069439877,0.00011905995],"domain_scores_gemma":[0.9921732,0.0034209637,0.00023406777,0.0019121425,0.0014137985,0.0008458872],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028970854,0.0008963622,0.0009787001,0.0014268033,0.0027969743,0.0044459794,0.0022311723,0.0044324454,0.032824177],"category_scores_gemma":[0.024501735,0.0007748832,0.0005285834,0.0011761356,0.008999567,0.030581556,0.005507218,0.009626789,0.012177987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019364257,0.000046059016,0.00020567075,0.00016477105,0.000019249133,0.00009120651,0.0005660557,0.0017085514,0.00095464493,0.77541035,0.15525693,0.06538283],"study_design_scores_gemma":[0.00002724876,0.000032398908,0.000070460526,0.00007309232,0.00000574401,0.00009013826,0.00024347339,0.0034549723,0.00057081686,0.8735802,0.1218281,0.00002329288],"about_ca_topic_score_codex":0.0008483188,"about_ca_topic_score_gemma":0.0007891084,"teacher_disagreement_score":0.032824177,"about_ca_system_score_codex":0.0010945658,"about_ca_system_score_gemma":0.0011838824,"threshold_uncertainty_score":0.10980785},"labels":[],"label_agreement":null},{"id":"W4407389620","doi":"10.1016/j.aim.2025.110148","title":"Constructions of Turán systems that are tight up to a multiplicative constant","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"H2020 European Research Council; European Research Council","keywords":"Mathematics; Multiplicative function; Constant (computer programming); Mathematical analysis","score_opus":0.013988335548160384,"score_gpt":0.29052208387719314,"score_spread":0.27653374832903277,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407389620","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2794544,0.0029289012,0.61438125,0.003832538,0.0004660472,0.0002483803,0.00088235585,0.0030042843,0.09480191],"genre_scores_gemma":[0.8605275,0.0010356137,0.1167206,0.0012686171,0.0002789848,0.00052368955,0.0006959388,0.00057782384,0.01837119],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973775,0.0007361451,0.00016486715,0.0006856891,0.00054285733,0.00049291877],"domain_scores_gemma":[0.9883762,0.0055242316,0.0013480984,0.002816447,0.0008245706,0.0011104681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021603731,0.0010268879,0.0012075267,0.0023216212,0.0030438371,0.0043866015,0.0020699855,0.0019172882,0.010951946],"category_scores_gemma":[0.017675899,0.0017833734,0.0013358326,0.002037435,0.0036219244,0.007897676,0.006123849,0.0037699884,0.0023407026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006357898,0.000023179733,0.000523595,0.00011080686,0.000015292811,0.00005800493,0.00045162355,0.0070038405,0.0018029634,0.9788134,0.0027106085,0.008423093],"study_design_scores_gemma":[0.000047657966,0.00008217003,0.0006891179,0.0000829476,0.000051532028,0.00023765236,0.00019066424,0.051024217,0.0033221056,0.920066,0.02413513,0.00007079339],"about_ca_topic_score_codex":0.0013556553,"about_ca_topic_score_gemma":0.0017903075,"teacher_disagreement_score":0.010951946,"about_ca_system_score_codex":0.0028767788,"about_ca_system_score_gemma":0.0010450882,"threshold_uncertainty_score":0.036637902},"labels":[],"label_agreement":null},{"id":"W4408961110","doi":"10.1016/j.aim.2025.110211","title":"Noncommutative point spaces of symbolic dynamical systems","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Noncommutative geometry; Pure mathematics; Point (geometry); Dynamical systems theory; Algebra over a field; Geometry","score_opus":0.01466263820688805,"score_gpt":0.3456583607535074,"score_spread":0.33099572254661935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408961110","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43167967,0.01324271,0.43097273,0.004444478,0.0011212351,0.00007200738,0.00044239155,0.0002619474,0.11776287],"genre_scores_gemma":[0.9502115,0.0028245673,0.025756747,0.00029316367,0.0009815067,0.00009001861,0.0002238025,0.00008392994,0.019534769],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914753,0.00032724717,0.000051561892,0.00015860308,0.0002326184,0.0000823893],"domain_scores_gemma":[0.9972487,0.001496176,0.0003091797,0.00027105235,0.00036622386,0.00030860855],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013106033,0.0009118984,0.0011574053,0.0026768846,0.0013723315,0.0044234926,0.00095532637,0.0011152412,0.0051395916],"category_scores_gemma":[0.0034894163,0.00050574937,0.0007348491,0.001582886,0.0047380393,0.0066336114,0.0024619235,0.0027191797,0.00059911655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000050522867,0.0000034929783,0.00003880743,0.000012348598,0.0000037754774,0.000017954753,0.00010370303,0.00045302167,0.00014795914,0.9983626,0.00014274774,0.00070860726],"study_design_scores_gemma":[0.0000035598969,0.000005113996,0.00007094675,0.0000033996453,0.0000020001519,0.00002350357,0.00003414226,0.001943068,0.00006123159,0.99680686,0.0010424376,0.0000037185528],"about_ca_topic_score_codex":0.00047558427,"about_ca_topic_score_gemma":0.00033934304,"teacher_disagreement_score":0.0051395916,"about_ca_system_score_codex":0.0011554544,"about_ca_system_score_gemma":0.000555287,"threshold_uncertainty_score":0.017193615},"labels":[],"label_agreement":null},{"id":"W4409186415","doi":"10.1016/j.aim.2025.110247","title":"Cauchy convergence in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:mi mathvariant=\"script\">V</mml:mi></mml:math>-normed categories","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Fuzzy and Soft Set Theory","field":"Decision Sciences","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Centro de Matemática, Universidade de Coimbra; Fundação para a Ciência e a Tecnologia; Natural Sciences and Engineering Research Council of Canada; Center for Research and Development in Mathematics and Applications","keywords":"Mathematics; Scalable Vector Graphics; Cauchy distribution; Convergence (economics); Statistics; Computer science; World Wide Web","score_opus":0.02809058817101231,"score_gpt":0.3048267381847844,"score_spread":0.2767361500137721,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409186415","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.030109333,0.003044043,0.67810696,0.006584068,0.0010893784,0.00013010869,0.0020624385,0.0010420311,0.2778316],"genre_scores_gemma":[0.5201105,0.0045005195,0.26314187,0.0027448386,0.0014511425,0.00058281387,0.0067345495,0.0037389921,0.19699478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963405,0.0013995252,0.00026517684,0.0006319179,0.0010964046,0.0002664591],"domain_scores_gemma":[0.99030286,0.004819611,0.00030666956,0.0008413488,0.003349766,0.00037969276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003919637,0.00068142754,0.0008144368,0.0031888536,0.0020419543,0.0049922387,0.0010862295,0.0011333411,0.026334839],"category_scores_gemma":[0.0144652445,0.000550113,0.0018732634,0.0021708915,0.002923343,0.00790104,0.00384891,0.004093301,0.00749853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001954313,0.0000119428305,0.00013507553,0.00007488739,0.000012344354,0.00003865088,0.00026878482,0.00078229274,0.00027446437,0.98339784,0.0071272464,0.007856842],"study_design_scores_gemma":[0.0000071324553,0.000013699767,0.0002177281,0.000040557716,0.000005992244,0.00009307929,0.000083669445,0.008221287,0.0006984896,0.96241075,0.028191553,0.00001609927],"about_ca_topic_score_codex":0.0045586815,"about_ca_topic_score_gemma":0.004941459,"teacher_disagreement_score":0.026334839,"about_ca_system_score_codex":0.0030916664,"about_ca_system_score_gemma":0.001542957,"threshold_uncertainty_score":0.08809888},"labels":[],"label_agreement":null},{"id":"W4409284455","doi":"10.1016/j.aim.2025.110254","title":"Roots of Alexander polynomials of random positive 3-braids","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; Ministry of Colleges and Universities; National Science Foundation","keywords":"Mathematics; Braid; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.013871752303062026,"score_gpt":0.33161960302371946,"score_spread":0.3177478507206574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409284455","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97558504,0.00011658819,0.020300731,0.00008786936,0.000011047462,0.000009873026,0.000044574634,0.00007539476,0.0037688627],"genre_scores_gemma":[0.99719054,0.000038795155,0.0016997458,0.000009912052,0.000009089236,0.0000070515107,0.000026572106,0.000016671334,0.0010017809],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967253,0.00005814323,0.000011582514,0.000070103895,0.00009736657,0.00009029013],"domain_scores_gemma":[0.99817264,0.0008144294,0.00048126458,0.00013636608,0.00016300897,0.00023220426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050564547,0.00028411485,0.00033385534,0.0016487576,0.00061153085,0.0011304897,0.00053497835,0.0005097584,0.0036665364],"category_scores_gemma":[0.0042533325,0.00026597962,0.0003271333,0.00045547326,0.0016451839,0.0017350321,0.0009930303,0.000711842,0.0003240161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002484085,0.00013199018,0.01102591,0.00014327835,0.000033931876,0.00052694505,0.0009132998,0.04926615,0.05454223,0.864777,0.0008539698,0.01753684],"study_design_scores_gemma":[0.00006380497,0.00017062218,0.011006809,0.00004029313,0.000022948545,0.00072993274,0.00046728482,0.26049608,0.019108282,0.7060291,0.0017818721,0.00008289704],"about_ca_topic_score_codex":0.00046825595,"about_ca_topic_score_gemma":0.00041602686,"teacher_disagreement_score":0.0036665364,"about_ca_system_score_codex":0.0006281659,"about_ca_system_score_gemma":0.0002823424,"threshold_uncertainty_score":0.012265861},"labels":[],"label_agreement":null},{"id":"W4409812478","doi":"10.1016/j.aim.2025.110287","title":"Two curious strongly invertible L-space knots","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; California Department of Fish and Game; Simons Foundation","keywords":"Mathematics; Invertible matrix; Pure mathematics; Space (punctuation)","score_opus":0.01789924056951151,"score_gpt":0.3472755337570726,"score_spread":0.32937629318756106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409812478","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64421254,0.00036442516,0.17329778,0.0042244275,0.0012866443,0.00013023951,0.00027906717,0.0015116517,0.17469318],"genre_scores_gemma":[0.9098659,0.00014690477,0.024268538,0.0003258516,0.00013576185,0.00003572088,0.00010823734,0.00023355175,0.06487954],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946004,0.00006923782,0.000016627111,0.0001184694,0.00017931132,0.00015620672],"domain_scores_gemma":[0.9991679,0.00018413101,0.00007917261,0.00012316936,0.00012196913,0.0003236004],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004695862,0.00087583903,0.0006143773,0.0014790996,0.00215457,0.002584871,0.0009834789,0.0024678914,0.014314892],"category_scores_gemma":[0.0019386515,0.00044775804,0.0006018173,0.00059273705,0.003099119,0.0030249415,0.004141344,0.0036977157,0.002004221],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015681273,0.000085246385,0.00044944463,0.0000616504,0.000014162439,0.001206972,0.0013676125,0.0012538076,0.008961251,0.9722511,0.0019566668,0.012235187],"study_design_scores_gemma":[0.00011484577,0.0002871833,0.0015430852,0.00006897198,0.000038575454,0.0022242796,0.0018073884,0.010724064,0.010183479,0.9265102,0.04639721,0.00010060529],"about_ca_topic_score_codex":0.00059118273,"about_ca_topic_score_gemma":0.0004738288,"teacher_disagreement_score":0.014314892,"about_ca_system_score_codex":0.0007561193,"about_ca_system_score_gemma":0.0004788417,"threshold_uncertainty_score":0.0478881},"labels":[],"label_agreement":null},{"id":"W4410284279","doi":"10.1016/j.aim.2025.110337","title":"Corrigendum to “Cauchy convergence in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:mi mathvariant=\"script\">V</mml:mi></mml:math>-normed categories” [Adv. Math. 470 (2025) 110247]","year":2025,"lang":"en","type":"erratum","venue":"Advances in Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Cauchy distribution; Scalable Vector Graphics; Convergence (economics); Algebra over a field; Mathematics education; Pure mathematics; Computer science; Statistics; World Wide Web","score_opus":0.026491805577183596,"score_gpt":0.28500590043293683,"score_spread":0.2585140948557532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410284279","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0005437406,0.0096815415,0.01077476,0.102588154,0.69882,0.00008327104,0.003936281,0.001729905,0.17184232],"genre_scores_gemma":[0.011702817,0.008463816,0.0072637703,0.030574365,0.0852002,0.00016044475,0.004371199,0.0029424806,0.8493209],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9969523,0.0006853523,0.00028182784,0.00043879513,0.0014660454,0.00017571333],"domain_scores_gemma":[0.99175584,0.0022124946,0.00025110654,0.0005773024,0.0048962533,0.00030699914],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002095474,0.0018882405,0.0014265493,0.003869889,0.003196753,0.0038430418,0.0022836744,0.0035666977,0.17734808],"category_scores_gemma":[0.017715484,0.0007642104,0.0016511235,0.0024214135,0.0019366625,0.0039718077,0.0016417595,0.0055692727,0.09729495],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014115167,0.0000064156334,0.000021772841,0.00006634838,0.000005617319,0.00003714311,0.000025671221,0.000045142995,0.000037583875,0.0065756068,0.98908794,0.0040765842],"study_design_scores_gemma":[0.0000110936135,0.00001297919,0.000417289,0.00016426467,0.000013939345,0.00012471106,0.00005065702,0.0003871389,0.00025144443,0.012116832,0.9864237,0.00002595005],"about_ca_topic_score_codex":0.020674301,"about_ca_topic_score_gemma":0.029287243,"teacher_disagreement_score":0.17734808,"about_ca_system_score_codex":0.005611175,"about_ca_system_score_gemma":0.0021962256,"threshold_uncertainty_score":0.5932884},"labels":[],"label_agreement":null},{"id":"W4410360877","doi":"10.1016/j.aim.2025.110346","title":"Convex elements and Steinberg's cross-sections","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Key Research and Development Program of China; Chinese Academy of Sciences; National Natural Science Foundation of China; Canadian Anesthesiologists' Society","keywords":"Mathematics; Regular polygon; Geometry; Combinatorics; Pure mathematics","score_opus":0.028677642555070867,"score_gpt":0.39586759444507164,"score_spread":0.36718995189000075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410360877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4008261,0.007323404,0.35938016,0.008201523,0.0004884057,0.00005649632,0.00036517993,0.00017894781,0.22317973],"genre_scores_gemma":[0.92644876,0.002867178,0.019837797,0.0007281108,0.00048445404,0.00006666642,0.00021063694,0.00010585966,0.049250487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993562,0.00022398104,0.00003130693,0.00014013461,0.00015048035,0.0000978665],"domain_scores_gemma":[0.99683505,0.0019189965,0.00031824998,0.00020077289,0.00037848053,0.00034853266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019369093,0.001096706,0.0011386757,0.0034691787,0.0017315685,0.0031340043,0.0012865829,0.0016497148,0.010346782],"category_scores_gemma":[0.0055496963,0.00076477067,0.0010807383,0.0018093969,0.0046729296,0.0057037817,0.004269304,0.0038059168,0.00087291544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000047266262,0.000004155938,0.00009452811,0.0000064167148,0.00000452958,0.000015186458,0.000058433798,0.0003975473,0.00009185364,0.9982256,0.00022165847,0.0008752841],"study_design_scores_gemma":[0.000005933173,0.000008643549,0.00025867886,0.000007491955,0.0000055034925,0.000039218776,0.00006091134,0.002955703,0.00012578347,0.99497616,0.0015499905,0.0000059400004],"about_ca_topic_score_codex":0.0021829158,"about_ca_topic_score_gemma":0.0013983786,"teacher_disagreement_score":0.010346782,"about_ca_system_score_codex":0.0021155202,"about_ca_system_score_gemma":0.00069034507,"threshold_uncertainty_score":0.03461337},"labels":[],"label_agreement":null},{"id":"W4410438793","doi":"10.1016/j.aim.2025.110345","title":"Shifted coisotropic structures for differentiable stacks","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Differentiable function; Pure mathematics; Submersion (mathematics); Algebra over a field","score_opus":0.019542736100885798,"score_gpt":0.34396042787714426,"score_spread":0.32441769177625845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410438793","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47443652,0.0024288087,0.29407775,0.0047268686,0.0018344602,0.00010610199,0.00055245066,0.0009142808,0.22092277],"genre_scores_gemma":[0.91757506,0.0012073672,0.026107537,0.00091494084,0.00085142325,0.000087868204,0.0003363017,0.00036014483,0.05255934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99922216,0.00013766493,0.00005307911,0.00019726549,0.00022231122,0.00016753284],"domain_scores_gemma":[0.9988293,0.0002610764,0.00016611035,0.00020524705,0.00025157444,0.00028671362],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011333547,0.0012641564,0.00077463215,0.0030398518,0.0025521333,0.003512937,0.0013073623,0.0015335499,0.0107624205],"category_scores_gemma":[0.0024037962,0.0005970232,0.0009365331,0.0019031197,0.0041591856,0.0077126347,0.003698417,0.0047138054,0.0017423674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013058931,0.0000067983465,0.000045958626,0.000008035827,0.0000022213364,0.00003663097,0.00011921159,0.00018739508,0.0004604602,0.99710053,0.00030686034,0.0017128277],"study_design_scores_gemma":[0.000007916456,0.00001569144,0.000105203435,0.000005593088,0.0000043618456,0.00006691118,0.00007927536,0.0012317165,0.00038159467,0.9949469,0.0031452323,0.0000096793565],"about_ca_topic_score_codex":0.0014024924,"about_ca_topic_score_gemma":0.0012521466,"teacher_disagreement_score":0.0107624205,"about_ca_system_score_codex":0.0023218563,"about_ca_system_score_gemma":0.0007428189,"threshold_uncertainty_score":0.036003888},"labels":[],"label_agreement":null},{"id":"W4410694889","doi":"10.1016/j.aim.2025.110358","title":"Vojta's abc conjecture for algebraic tori and applications over function fields","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Science Foundation of Hunan Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science and Technology Council","keywords":"Mathematics; Conjecture; Function field; Algebraic number; Torus; Function (biology); abc conjecture; Pure mathematics; Combinatorics; Field (mathematics); Algebra over a field; Collatz conjecture; Mathematical analysis; Geometry","score_opus":0.009993467772148018,"score_gpt":0.31032360034699075,"score_spread":0.30033013257484276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410694889","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41746244,0.0057289875,0.099171475,0.03312831,0.0046078684,0.0000977184,0.0011058694,0.0010144874,0.43768284],"genre_scores_gemma":[0.9572392,0.0017038166,0.010371986,0.0017257495,0.0013942916,0.000066997076,0.00058222667,0.00019521642,0.026720483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998816,0.00023387186,0.000063013875,0.0002406904,0.0003458516,0.0003005375],"domain_scores_gemma":[0.99760985,0.001066019,0.00016764435,0.0004923189,0.00043004175,0.00023404455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013214074,0.0006662545,0.0014972913,0.002321026,0.0030139878,0.004029076,0.0014404639,0.0025857254,0.011094185],"category_scores_gemma":[0.0070703737,0.0004928154,0.0011021406,0.0025562989,0.006118743,0.009087549,0.0036738717,0.0049726553,0.0015446292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048170066,0.00001233813,0.00033190212,0.00005287259,0.0000053120216,0.000055655786,0.00018188558,0.0006589036,0.0001789153,0.98785806,0.004886121,0.005729788],"study_design_scores_gemma":[0.0000111083955,0.0000054957045,0.0002182836,0.000019353256,0.0000059524136,0.000055259894,0.0000834534,0.0015747627,0.00014572669,0.99111134,0.0067610214,0.000008105921],"about_ca_topic_score_codex":0.0043503265,"about_ca_topic_score_gemma":0.0024361648,"teacher_disagreement_score":0.011094185,"about_ca_system_score_codex":0.0018378594,"about_ca_system_score_gemma":0.0009001186,"threshold_uncertainty_score":0.037113726},"labels":[],"label_agreement":null},{"id":"W4411652597","doi":"10.1016/j.aim.2025.110396","title":"C1,1 regularity for principal-agent problems","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Fudan University; Canada Research Chairs; Fields Institute for Research in Mathematical Sciences; National Research Council Canada; Simons Foundation","keywords":"Mathematics; Principal (computer security); Pure mathematics; Computer science","score_opus":0.056719628238581246,"score_gpt":0.3906873186190909,"score_spread":0.33396769038050966,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411652597","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09497314,0.0016957088,0.7698913,0.0056290035,0.00026270543,0.00018152545,0.00036132472,0.00013562126,0.12686975],"genre_scores_gemma":[0.8634295,0.001979485,0.105704084,0.00070183986,0.0004822709,0.00045039036,0.00029612347,0.00020455399,0.026751831],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849343,0.0007793419,0.000041860563,0.00020894305,0.0002538358,0.00022244101],"domain_scores_gemma":[0.9935061,0.004588769,0.0005168338,0.0003211992,0.0005493428,0.00051781134],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038420893,0.0010384921,0.0012867256,0.0011690574,0.0011036962,0.0022122567,0.0013818784,0.001829764,0.006354998],"category_scores_gemma":[0.017548878,0.00050764816,0.0014135123,0.00061403256,0.0037632086,0.0033354103,0.002863253,0.0044879564,0.00052245485],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004699903,0.00003182255,0.00034860245,0.00010555316,0.000018393644,0.00009199735,0.00015575545,0.030067306,0.00063202565,0.9623439,0.0025740983,0.0035835423],"study_design_scores_gemma":[0.000025165727,0.000027165834,0.00024140892,0.000044934142,0.000009810479,0.00005569535,0.00009869154,0.19383357,0.00040509185,0.80224955,0.0029950638,0.000013835232],"about_ca_topic_score_codex":0.0014444044,"about_ca_topic_score_gemma":0.00094870717,"teacher_disagreement_score":0.006354998,"about_ca_system_score_codex":0.0017188675,"about_ca_system_score_gemma":0.0011948853,"threshold_uncertainty_score":0.021259546},"labels":[],"label_agreement":null},{"id":"W4411715113","doi":"10.1016/j.aim.2025.110414","title":"Riesz-type calculus for Lorentz-Morrey spaces","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Lorentz transformation; Type (biology); Calculus (dental); Pure mathematics; Lorentz space; Classical mechanics; Physics; Orthodontics; Medicine","score_opus":0.050747114196819355,"score_gpt":0.44486579491988626,"score_spread":0.3941186807230669,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411715113","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17201057,0.008713292,0.55696905,0.008140582,0.0020516806,0.00008635426,0.000863331,0.0006824292,0.2504827],"genre_scores_gemma":[0.8190769,0.0041727046,0.08960294,0.0015879768,0.0027034509,0.00010622146,0.00052500836,0.00033480805,0.08189007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992544,0.0002288987,0.000043221,0.00012003087,0.00027066274,0.000082744904],"domain_scores_gemma":[0.9990752,0.0002357021,0.00009355887,0.00011025602,0.00028360315,0.00020161767],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022226379,0.0009468641,0.0010395561,0.0030141282,0.0016627073,0.0032322202,0.0010334556,0.0013100017,0.005478713],"category_scores_gemma":[0.0025351788,0.00038990445,0.0011834573,0.0016476233,0.0028355536,0.004479543,0.0023189366,0.0032780953,0.00077776617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004368057,0.000006601893,0.00003304282,0.000010364161,0.0000038213348,0.000013868846,0.000056825455,0.00014271606,0.00024453393,0.9977823,0.00042502422,0.0012763684],"study_design_scores_gemma":[0.0000051720554,0.000008396371,0.00015719725,0.000005174359,0.0000056654703,0.000036285765,0.000035180674,0.0024163167,0.0001383138,0.9937738,0.0034104139,0.000007981247],"about_ca_topic_score_codex":0.0018149803,"about_ca_topic_score_gemma":0.0017328094,"teacher_disagreement_score":0.005478713,"about_ca_system_score_codex":0.0022677009,"about_ca_system_score_gemma":0.001052524,"threshold_uncertainty_score":0.01832813},"labels":[],"label_agreement":null},{"id":"W4411986385","doi":"10.1016/j.aim.2025.110422","title":"Spectral quantization for ancient asymptotically cylindrical flows","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quantization (signal processing); Mathematical analysis; Algorithm","score_opus":0.021276729342174106,"score_gpt":0.33678780206799025,"score_spread":0.31551107272581613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411986385","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38297507,0.0054438524,0.23615399,0.011795587,0.0018548697,0.00006488322,0.00049099006,0.0005645944,0.36065614],"genre_scores_gemma":[0.91472745,0.0019182432,0.025508195,0.0009675825,0.0016548374,0.000049438204,0.00025931277,0.00020768854,0.05470718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995851,0.00013873032,0.000021193719,0.000067436216,0.0001319238,0.000055581288],"domain_scores_gemma":[0.9993524,0.00016209706,0.00007532737,0.00009785511,0.00019185925,0.00012051798],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011247729,0.0006293413,0.0006516522,0.0017827011,0.0015827859,0.002803004,0.00080036727,0.0011822212,0.006443449],"category_scores_gemma":[0.0022234544,0.00027226465,0.0004980032,0.00083668926,0.0040131225,0.0049271607,0.001767008,0.0023624306,0.00068284513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000027086148,0.000002060747,0.000014880755,0.0000046012824,6.2881065e-7,0.0000054777547,0.00004469264,0.0001557793,0.0000924865,0.998793,0.00028421418,0.00059945264],"study_design_scores_gemma":[0.000003257217,0.0000041050553,0.000062531944,0.000003584928,7.4740507e-7,0.000017924436,0.000035610537,0.0012738439,0.000040429797,0.9968659,0.0016878064,0.000004145261],"about_ca_topic_score_codex":0.0017999166,"about_ca_topic_score_gemma":0.0011975459,"teacher_disagreement_score":0.006443449,"about_ca_system_score_codex":0.002040001,"about_ca_system_score_gemma":0.0006666693,"threshold_uncertainty_score":0.021555483},"labels":[],"label_agreement":null},{"id":"W4412418952","doi":"10.1016/j.aim.2025.110424","title":"Equidistribution of polynomial sequences in function fields, with applications","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Mathematics; Polynomial; Function field; Function (biology); Pure mathematics; Field (mathematics); Mathematical analysis","score_opus":0.011633780859703126,"score_gpt":0.30533917119637494,"score_spread":0.2937053903366718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412418952","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14710431,0.0024017266,0.7714889,0.0010780244,0.00049672206,0.000055048808,0.00011312919,0.00035589785,0.07690619],"genre_scores_gemma":[0.74805164,0.0034668993,0.18114789,0.0005376882,0.00075300486,0.00016145357,0.00028654476,0.0005311962,0.06506366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988673,0.00038294797,0.000073947296,0.00026680232,0.0002631486,0.00014586556],"domain_scores_gemma":[0.9965629,0.0017613055,0.00029835347,0.00037801327,0.00060138776,0.0003981661],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017181458,0.0008407675,0.0010470873,0.0026552912,0.0018978121,0.002272041,0.0020331368,0.0012624573,0.00875433],"category_scores_gemma":[0.008624129,0.00049645954,0.0010254078,0.0027756998,0.003699234,0.005415913,0.0034312587,0.0030935484,0.0013784834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046896403,0.000037577025,0.0001289958,0.000041155523,0.000005041641,0.000051790415,0.00021382044,0.0035265004,0.00076317764,0.9738008,0.000718684,0.02066552],"study_design_scores_gemma":[0.000009039534,0.000029867857,0.00007248852,0.000026054087,0.000005513612,0.00009817016,0.00010412605,0.038950898,0.0010040465,0.95591193,0.003775035,0.000012938697],"about_ca_topic_score_codex":0.0011150197,"about_ca_topic_score_gemma":0.00090471824,"teacher_disagreement_score":0.00875433,"about_ca_system_score_codex":0.0015009192,"about_ca_system_score_gemma":0.0008070878,"threshold_uncertainty_score":0.029286206},"labels":[],"label_agreement":null},{"id":"W4412637220","doi":"10.1016/j.aim.2025.110452","title":"Countable Borel treeable equivalence relations are classifiable by ℓ1","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Israel Science Foundation","keywords":"Mathematics; Countable set; Borel equivalence relation; Equivalence (formal languages); Equivalence relation; Pure mathematics; Borel set; Combinatorics; Discrete mathematics; Borel measure; Probability measure","score_opus":0.019202080920115484,"score_gpt":0.3448588619381904,"score_spread":0.3256567810180749,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412637220","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7065666,0.00083138474,0.19955264,0.0018773031,0.00016734676,0.00008528192,0.0003917816,0.00055037555,0.089977235],"genre_scores_gemma":[0.9624913,0.0003247184,0.02108275,0.00024116666,0.00018438256,0.000099603814,0.00044614394,0.000050890358,0.015079079],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857914,0.00015143098,0.00009661866,0.00037701163,0.00052751775,0.00026832838],"domain_scores_gemma":[0.9973992,0.0013492479,0.00038506184,0.00028653475,0.00034164975,0.0002383376],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010158753,0.0003612946,0.0004992442,0.0015899832,0.0015647076,0.00273549,0.00066076417,0.00080491044,0.004587756],"category_scores_gemma":[0.00244068,0.00040954852,0.0011121178,0.0008057787,0.0032985872,0.00589804,0.002050608,0.0022304475,0.00044391913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044630036,0.00003591847,0.0014402523,0.000027538545,0.000017565684,0.00015080447,0.0011145513,0.00040346038,0.003185088,0.9851716,0.0005849235,0.007823597],"study_design_scores_gemma":[0.000026110944,0.000043135602,0.003167247,0.000020232757,0.000030873696,0.00016063513,0.0004178855,0.006607947,0.0034668597,0.9747644,0.0112686325,0.000026121228],"about_ca_topic_score_codex":0.0019922443,"about_ca_topic_score_gemma":0.0015724681,"teacher_disagreement_score":0.004587756,"about_ca_system_score_codex":0.0013521893,"about_ca_system_score_gemma":0.00044683152,"threshold_uncertainty_score":0.0153476},"labels":[],"label_agreement":null},{"id":"W4412739678","doi":"10.1016/j.aim.2025.110455","title":"Doubles of Gluck twists: A five-dimensional approach","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Princeton University; National Sleep Foundation; National Science Foundation","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.01876147590813738,"score_gpt":0.32496704933694626,"score_spread":0.3062055734288089,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412739678","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58497304,0.0013489027,0.12161026,0.0011281634,0.00077759614,0.000084525156,0.00033851404,0.0004272252,0.2893118],"genre_scores_gemma":[0.9513118,0.00049958716,0.027813481,0.00023013962,0.00015779192,0.00004315346,0.00023175732,0.00010640883,0.019605832],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995214,0.00006836728,0.000030506706,0.000069341186,0.00017966537,0.00013077904],"domain_scores_gemma":[0.99961615,0.000048672715,0.000063876294,0.000058798138,0.00007741144,0.00013501811],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003994927,0.0006406482,0.00060040277,0.00284629,0.0022959516,0.0028707422,0.0009073594,0.00096731953,0.0062059164],"category_scores_gemma":[0.00095796824,0.0003961569,0.0007986607,0.0006629296,0.0032801603,0.002367146,0.0028096014,0.0013376711,0.0007241036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028453305,0.000009931126,0.00029762683,0.00003399992,0.0000042291417,0.00027132695,0.00031581966,0.0013717057,0.0017242339,0.9926778,0.00049060263,0.0027742004],"study_design_scores_gemma":[0.000027457783,0.000066395165,0.0010467371,0.00007221272,0.000013144268,0.0010355164,0.00073895423,0.011237537,0.0024461597,0.96321815,0.020047646,0.000050192513],"about_ca_topic_score_codex":0.001598474,"about_ca_topic_score_gemma":0.0020114675,"teacher_disagreement_score":0.0062059164,"about_ca_system_score_codex":0.0013825538,"about_ca_system_score_gemma":0.0004094447,"threshold_uncertainty_score":0.020760834},"labels":[],"label_agreement":null},{"id":"W4413099444","doi":"10.1016/j.aim.2025.110448","title":"p-typical curves on p-adic Tate twists and de Rham–Witt forms","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of British Columbia; Harvard University; National Science Foundation","keywords":"Mathematics; Pure mathematics","score_opus":0.013852612474608231,"score_gpt":0.3302377774251359,"score_spread":0.31638516495052765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413099444","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8439319,0.00090750505,0.05579847,0.0010482147,0.0002551885,0.000056813322,0.0002105061,0.00018878069,0.09760259],"genre_scores_gemma":[0.98717016,0.00033803913,0.004242032,0.00007967099,0.0001639889,0.000021272062,0.000094697934,0.00003242161,0.007857625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995604,0.000071978655,0.000019656734,0.00010663465,0.00012684186,0.00011456157],"domain_scores_gemma":[0.9991314,0.00016127274,0.00022755988,0.00011192566,0.00011686609,0.00025099356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005138686,0.00068701943,0.0004817209,0.0024572462,0.0016127019,0.0022009506,0.0005079807,0.0007069444,0.0062510436],"category_scores_gemma":[0.0017911394,0.00030887002,0.0005706183,0.0017496204,0.0036881422,0.005093312,0.0028392975,0.0015884935,0.00066470477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020262087,0.000011190054,0.00061572134,0.000026345015,0.000005951892,0.00025648842,0.00063822226,0.00055207824,0.0010432058,0.9925605,0.0003756922,0.003894306],"study_design_scores_gemma":[0.000014417886,0.000051127445,0.0013190011,0.000022985376,0.000009550839,0.00082322356,0.00047157757,0.0028597799,0.0014003431,0.98611486,0.0068904497,0.000022731394],"about_ca_topic_score_codex":0.00049810245,"about_ca_topic_score_gemma":0.00036818368,"teacher_disagreement_score":0.0062510436,"about_ca_system_score_codex":0.0007269564,"about_ca_system_score_gemma":0.00028785158,"threshold_uncertainty_score":0.020911813},"labels":[],"label_agreement":null},{"id":"W4413398743","doi":"10.1016/j.aim.2025.110487","title":"Sharp Beckner's inequalities for axially symmetric functions on <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:msup> <mml:mrow> <mml:mi mathvariant=\"double-struck\">S</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>6</mml:mn> </mml:mrow> </mml:msup> </mml:math> and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.svg\"> <mml:msup> <mml:mrow> <mml:mi mathvariant=\"double-struck\">S</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>8</mml:mn> </mml:mrow> </mml:msup> </mml:math>","year":2025,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Research Services and Knowledge Transfer Office, University of Macau; Universidade de Macau; Research Grants Council, University Grants Committee; Fundo para o Desenvolvimento das Ciências e da Tecnologia; United Mitochondrial Disease Foundation","keywords":"Mathematics; Scalable Vector Graphics; Combinatorics; Computer science; World Wide Web","score_opus":0.024916927072779583,"score_gpt":0.26543074924554566,"score_spread":0.24051382217276607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413398743","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.046166584,0.0066618514,0.455997,0.011716799,0.0014934617,0.0001200013,0.0019122252,0.00029202783,0.47564006],"genre_scores_gemma":[0.69856334,0.009435664,0.11242619,0.0049915775,0.001498459,0.0005490267,0.00224747,0.0006743387,0.16961393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99814,0.00056432904,0.00011457269,0.00031318326,0.0004472386,0.0004206788],"domain_scores_gemma":[0.99563843,0.0023393151,0.0003433591,0.00038879307,0.00091555266,0.00037451496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0040256623,0.002168184,0.0010009024,0.0030992033,0.0018276533,0.0050044823,0.0015687774,0.0013268813,0.03223334],"category_scores_gemma":[0.0090233665,0.00060495664,0.0020248601,0.002267607,0.002980901,0.0079180235,0.0030503427,0.0071769496,0.005887375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003175203,0.000010005485,0.00011378564,0.000048306712,0.000011760326,0.000029305429,0.00007706938,0.00065242493,0.00043071815,0.9872736,0.0046898746,0.006631389],"study_design_scores_gemma":[0.000011819874,0.000022652024,0.0003905958,0.000044831635,0.000017518456,0.00007510293,0.00008967905,0.0077494415,0.0007696794,0.97895736,0.011848694,0.000022608148],"about_ca_topic_score_codex":0.0032131409,"about_ca_topic_score_gemma":0.0042354935,"teacher_disagreement_score":0.03223334,"about_ca_system_score_codex":0.0033653297,"about_ca_system_score_gemma":0.0020024392,"threshold_uncertainty_score":0.10783124},"labels":[],"label_agreement":null},{"id":"W4413408005","doi":"10.1016/j.aim.2025.110491","title":"The Nadler-Quinn problem on accessible points of arc-like continua","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Arc (geometry); Combinatorics; Mathematical economics; Geometry","score_opus":0.01737219488073978,"score_gpt":0.34602907231290675,"score_spread":0.328656877432167,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413408005","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57084924,0.0019130335,0.3328456,0.0016589582,0.00015117826,0.000059509915,0.00021292294,0.000121331235,0.09218817],"genre_scores_gemma":[0.9537913,0.0010877735,0.03631346,0.000088008914,0.00010325833,0.000046220077,0.00016722069,0.000028099792,0.008374625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965596,0.00007753665,0.000018922097,0.00007832452,0.000111558584,0.000057737958],"domain_scores_gemma":[0.99894947,0.00047232633,0.00015797587,0.00014367842,0.00013035105,0.0001461321],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007025834,0.00031028583,0.00035691823,0.0010525173,0.0011002938,0.0017458077,0.0006104163,0.0006597687,0.0034648837],"category_scores_gemma":[0.0024732018,0.00017946192,0.0005338012,0.00062891736,0.0032800275,0.004763087,0.002515825,0.0019078918,0.00044115682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013812509,0.0000072962353,0.00019500851,0.000021392332,0.00000242245,0.00010524957,0.000307366,0.0009634725,0.000569198,0.9951213,0.00018020724,0.0025132184],"study_design_scores_gemma":[0.000007708701,0.000017200427,0.00027170687,0.000018942446,0.0000041866574,0.00016246375,0.00033325638,0.007844667,0.00054053165,0.9866339,0.0041570375,0.000008411978],"about_ca_topic_score_codex":0.000555007,"about_ca_topic_score_gemma":0.00035770988,"teacher_disagreement_score":0.0034648837,"about_ca_system_score_codex":0.00067037035,"about_ca_system_score_gemma":0.00022144004,"threshold_uncertainty_score":0.011591196},"labels":[],"label_agreement":null},{"id":"W4413939810","doi":"10.1016/j.aim.2025.110510","title":"Grothendieck shenanigans: Permutons from pipe dreams via integrable probability","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Ministerstwo Edukacji i Nauki; Ministry of Education and Science of the Republic of Kazakhstan; Simons Foundation; American Institute of Mathematics; National Science Foundation; Institute for Pure and Applied Mathematics","keywords":"Mathematics; Integrable system; Pure mathematics","score_opus":0.01955853318879116,"score_gpt":0.31823529140212153,"score_spread":0.2986767582133304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413939810","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4657298,0.0014279655,0.27206025,0.007052851,0.0010970393,0.00019426385,0.0006062862,0.0010934258,0.250738],"genre_scores_gemma":[0.919998,0.0006722704,0.023452753,0.0013271128,0.00041896442,0.00015519271,0.00038321016,0.00050608156,0.053086437],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963284,0.000100030586,0.000016583375,0.00006373558,0.00010821374,0.00007863375],"domain_scores_gemma":[0.99914575,0.00033670742,0.00009271976,0.00014387215,0.00009393519,0.00018706985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006079316,0.0006868126,0.0009909185,0.0015156176,0.0018776399,0.0025839293,0.0009123729,0.0018212931,0.012409278],"category_scores_gemma":[0.003281986,0.00058344775,0.00095327507,0.0008008299,0.0036995343,0.0053520445,0.0036014875,0.0036819635,0.0012599378],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011318978,0.000004168323,0.000028284107,0.000007974681,0.0000022667878,0.00001923177,0.00005899751,0.0002985906,0.0001261601,0.99797446,0.0005036017,0.0009650009],"study_design_scores_gemma":[0.0000057556904,0.0000041987623,0.000031954096,0.00000383705,0.0000015605733,0.000026775013,0.000033078657,0.0023099056,0.00006761521,0.99688965,0.00062131556,0.0000044758553],"about_ca_topic_score_codex":0.0008270509,"about_ca_topic_score_gemma":0.00081811176,"teacher_disagreement_score":0.012409278,"about_ca_system_score_codex":0.0008921781,"about_ca_system_score_gemma":0.0005968127,"threshold_uncertainty_score":0.041513145},"labels":[],"label_agreement":null},{"id":"W4414703195","doi":"10.1016/j.aim.2025.110559","title":"Smooth representations of affine Kac-Moody algebras","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Affine transformation; Affine Lie algebra; Irreducibility; Lie algebra; Quantum affine algebra; Prime (order theory); Vertex (graph theory); Affine representation; Class (philosophy)","score_opus":0.01679685203435729,"score_gpt":0.34177655789341926,"score_spread":0.324979705859062,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414703195","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7384089,0.0019795315,0.09082934,0.0023571395,0.00053871935,0.00007763338,0.0003158417,0.00039314665,0.1650998],"genre_scores_gemma":[0.9651277,0.0007225042,0.007936746,0.00028306386,0.0005151808,0.00004589502,0.0002207914,0.00006134314,0.025086835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947566,0.000110705936,0.000028457704,0.000084891384,0.00018916384,0.000111139125],"domain_scores_gemma":[0.999423,0.00011363881,0.00012805838,0.00006336574,0.000113763934,0.00015810083],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074382767,0.0007965394,0.0007624007,0.0024644225,0.0018198245,0.0041938815,0.0010650337,0.0011166146,0.006102309],"category_scores_gemma":[0.0015461618,0.00046723647,0.0007449658,0.0018092608,0.0028792801,0.0037268677,0.0016443641,0.0021097017,0.000961336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016221997,0.000016423208,0.00010059859,0.0000128406755,0.000005251771,0.00003943098,0.00016740954,0.0005055159,0.0005798354,0.99610436,0.00039559216,0.0020566813],"study_design_scores_gemma":[0.000012969164,0.00001498417,0.00023078256,0.0000054086936,0.000005011635,0.00005120997,0.00009769554,0.0020852818,0.00017217659,0.9961712,0.0011440103,0.000009321208],"about_ca_topic_score_codex":0.0011082587,"about_ca_topic_score_gemma":0.00094356574,"teacher_disagreement_score":0.006102309,"about_ca_system_score_codex":0.0013156991,"about_ca_system_score_gemma":0.0006210477,"threshold_uncertainty_score":0.020414293},"labels":[],"label_agreement":null},{"id":"W4414992782","doi":"10.1016/j.aim.2025.110566","title":"Higgs and Coulomb branches from superconformal raviolo vertex algebras","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Ministry of Colleges and Universities; Innovation, Science and Economic Development Canada; Yale University; University of Nebraska Omaha - College of Arts and Sciences","keywords":"Vertex (graph theory); Coulomb; Vertex operator algebra; Higgs boson; Twist; Formalism (music); Operator algebra; Quantum","score_opus":0.011767164789787118,"score_gpt":0.2980732260319703,"score_spread":0.28630606124218316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414992782","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6190653,0.0015695499,0.0482014,0.003263716,0.000756299,0.00008472099,0.00027546627,0.0004912345,0.32629237],"genre_scores_gemma":[0.96125203,0.00059693254,0.0054658763,0.0005624845,0.0007512338,0.00006518052,0.00025805322,0.00014683657,0.030901441],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995277,0.000112418915,0.000019513544,0.000050652718,0.00016875143,0.00012096013],"domain_scores_gemma":[0.9992957,0.0001800268,0.0001227436,0.00008194105,0.00010478641,0.00021471268],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007186627,0.00091098127,0.001201549,0.00315889,0.0020509874,0.0040167663,0.0014690231,0.0018503414,0.00985173],"category_scores_gemma":[0.0020156903,0.00049978483,0.0010324734,0.0013323207,0.0030160577,0.0045446595,0.0024818433,0.0024860862,0.0015456444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026140762,0.000027383372,0.00013276159,0.000017085817,0.00000482589,0.00011419394,0.00013565522,0.00058300426,0.00048824912,0.99624264,0.0004852368,0.0017427574],"study_design_scores_gemma":[0.000015299482,0.000009653423,0.0001603408,0.000009191817,0.000003204433,0.00008609764,0.000067748464,0.0030695053,0.00013060539,0.9957878,0.00065238617,0.000008247448],"about_ca_topic_score_codex":0.0012396241,"about_ca_topic_score_gemma":0.0014601161,"teacher_disagreement_score":0.00985173,"about_ca_system_score_codex":0.0016070978,"about_ca_system_score_gemma":0.00085750635,"threshold_uncertainty_score":0.032957315},"labels":[],"label_agreement":null},{"id":"W4415275195","doi":"10.1016/j.aim.2025.110603","title":"Essential p-capacity-volume estimates for rotationally symmetric manifolds","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Upper and lower bounds; Principal (computer security); Manifold (fluid mechanics); Differential geometry","score_opus":0.018809100751348513,"score_gpt":0.3192476205819145,"score_spread":0.300438519830566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415275195","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25355327,0.0072296965,0.52934724,0.010701003,0.0008791611,0.00012538629,0.001418146,0.00066784606,0.19607823],"genre_scores_gemma":[0.9302495,0.004440395,0.028977817,0.0011387119,0.0017700966,0.00017594155,0.0008729584,0.0005606228,0.031813934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989164,0.00032615862,0.000048478134,0.00020185129,0.00030564793,0.00020152796],"domain_scores_gemma":[0.9916469,0.0046810126,0.00076828105,0.0006283715,0.0009468917,0.0013284874],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003149723,0.002378495,0.0014432713,0.0064488756,0.0016185343,0.0029787025,0.0031177653,0.0015615247,0.014060283],"category_scores_gemma":[0.013156612,0.0007180449,0.0014739789,0.0023932662,0.005536968,0.013606096,0.007271674,0.0063617523,0.0011989498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003079524,0.000020089801,0.00021681905,0.000098070755,0.000010898038,0.00004589445,0.00014156682,0.0021271373,0.0008067134,0.9915765,0.0017635463,0.0031619926],"study_design_scores_gemma":[0.000005570962,0.000013979029,0.00031385326,0.000027553408,0.000013186863,0.00005506103,0.00005063944,0.01223343,0.00052356615,0.9847825,0.00196591,0.000014663357],"about_ca_topic_score_codex":0.0012756464,"about_ca_topic_score_gemma":0.0011007745,"teacher_disagreement_score":0.014060283,"about_ca_system_score_codex":0.0024619377,"about_ca_system_score_gemma":0.000826844,"threshold_uncertainty_score":0.04703635},"labels":[],"label_agreement":null},{"id":"W4415662109","doi":"10.1016/j.aim.2025.110640","title":"The rigid Pham-Brieskorn threefolds","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Materials and Mechanics","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Mitacs; Agence Nationale de la Recherche","keywords":"Hypersurface; Action (physics); Element (criminal law); Group (periodic table); Term (time)","score_opus":0.0035737100971629833,"score_gpt":0.24437003970501384,"score_spread":0.24079632960785086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415662109","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8558318,0.0004850166,0.034410346,0.0006672611,0.00016770055,0.0000625547,0.00026701886,0.00017051665,0.10793779],"genre_scores_gemma":[0.972455,0.00024284156,0.010375824,0.000079045094,0.00004011564,0.000057172907,0.00019159631,0.000042859745,0.016515492],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979717,0.00004039329,0.0000088995175,0.000032105905,0.00006785564,0.00005356618],"domain_scores_gemma":[0.9998522,0.000021583017,0.000036803725,0.000027281878,0.000019699897,0.000042451622],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002576323,0.00048102505,0.0003124889,0.0009060951,0.0011653679,0.0010453002,0.00043929866,0.00046968,0.0058162445],"category_scores_gemma":[0.00060698506,0.00025437045,0.0003138569,0.00034007867,0.0015935448,0.00084737845,0.0012820759,0.00093896734,0.00096598454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010381058,0.000016389855,0.00056451844,0.000051204894,0.000011568241,0.0004109866,0.00031775702,0.00450873,0.008715274,0.9744499,0.0014227157,0.009427233],"study_design_scores_gemma":[0.000084115316,0.00014735495,0.0053372956,0.00007269702,0.000033064032,0.0011349191,0.00076482253,0.04156175,0.008859829,0.9135075,0.02842677,0.00006984546],"about_ca_topic_score_codex":0.0010110938,"about_ca_topic_score_gemma":0.0006362755,"teacher_disagreement_score":0.0058162445,"about_ca_system_score_codex":0.00043189886,"about_ca_system_score_gemma":0.00035428366,"threshold_uncertainty_score":0.01945728},"labels":[],"label_agreement":null},{"id":"W4416264977","doi":"10.1016/j.aim.2025.110672","title":"Flows with surgery revisited","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Trauma, Hemostasis, Coagulopathy, Resuscitation","field":"Medicine","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"A priori and a posteriori; Boundary (topology); Compact space; Contrast (vision); Calculus (dental); Flow (mathematics)","score_opus":0.01444084742929171,"score_gpt":0.3068739620305363,"score_spread":0.2924331146012446,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416264977","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.036075972,0.005333127,0.8957103,0.0038193406,0.0012206723,0.00008545296,0.00014262785,0.00025084615,0.05736165],"genre_scores_gemma":[0.6648452,0.0081652505,0.27994862,0.0022901527,0.0025832409,0.0002826585,0.0003099967,0.0004436024,0.041131265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988722,0.0002774605,0.000069126785,0.00023913183,0.00039328312,0.00014871261],"domain_scores_gemma":[0.99866724,0.00055275246,0.00022317164,0.00013951599,0.00023364667,0.00018359139],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016677474,0.0013396555,0.00075452647,0.0039138496,0.0015914653,0.0018475613,0.0010526422,0.0018728381,0.007342705],"category_scores_gemma":[0.004379687,0.0005545272,0.0013696899,0.0008535998,0.006982894,0.0056292666,0.0051596626,0.0039288704,0.0010293229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010430826,0.0000063241173,0.00023258232,0.00007766964,0.000006067008,0.000119066804,0.0001534242,0.0024881246,0.0013111677,0.9857055,0.00060022244,0.0092894845],"study_design_scores_gemma":[0.000018466373,0.00013524089,0.0007804516,0.00014382978,0.000026426693,0.0013637812,0.00024576575,0.024369393,0.003208594,0.9258195,0.04383853,0.000050004164],"about_ca_topic_score_codex":0.0010370016,"about_ca_topic_score_gemma":0.00062530854,"teacher_disagreement_score":0.007342705,"about_ca_system_score_codex":0.0012512638,"about_ca_system_score_gemma":0.0011936136,"threshold_uncertainty_score":0.02456379},"labels":[],"label_agreement":null},{"id":"W4416427643","doi":"10.1016/j.aim.2025.110681","title":"Continuous family of surfaces translating by powers of Gauss curvature","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Korea Institute for Advanced Study; Ministry of Science and ICT, South Korea; National Research Foundation of Korea; POSCO TJ Park Foundation; University of Toronto; Pohang University of Science and Technology; National Research Foundation","keywords":"Ansatz; Surface (topology); Regular polygon; Topology (electrical circuits); Curvature; Moduli; Infinity; Gauss","score_opus":0.011421331259836458,"score_gpt":0.3039087768382281,"score_spread":0.2924874455783916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416427643","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77758175,0.0018094311,0.15054362,0.0025633425,0.00048994616,0.00008565838,0.00040024697,0.0008375786,0.06568839],"genre_scores_gemma":[0.95778966,0.0011118316,0.015726302,0.00027078955,0.00054456823,0.00007465079,0.00038783517,0.00030245393,0.02379207],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929786,0.00012161816,0.000025606438,0.00014905573,0.0002816796,0.0001240604],"domain_scores_gemma":[0.9972361,0.0009733934,0.00036599752,0.00020490383,0.0004979828,0.00072163576],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011800819,0.0016683105,0.001394312,0.00521553,0.001925653,0.0032812562,0.0016015971,0.0017428003,0.006485636],"category_scores_gemma":[0.0044605173,0.0008716215,0.0014680114,0.0015802372,0.0035729648,0.0032009706,0.0018761872,0.0032007254,0.00075762137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010301376,0.000048824204,0.00071381783,0.000053300315,0.00003134604,0.00051018735,0.00038023244,0.0035187423,0.004250965,0.98293716,0.0012521144,0.0062002433],"study_design_scores_gemma":[0.0001410711,0.00024895414,0.004322434,0.00008635996,0.00007610992,0.0025165044,0.0004603634,0.078520596,0.0035977245,0.89808655,0.011848863,0.00009458023],"about_ca_topic_score_codex":0.0013900031,"about_ca_topic_score_gemma":0.00080793427,"teacher_disagreement_score":0.006485636,"about_ca_system_score_codex":0.0023339898,"about_ca_system_score_gemma":0.00080434687,"threshold_uncertainty_score":0.021696627},"labels":[],"label_agreement":null},{"id":"W4416695537","doi":"10.1016/j.aim.2025.110707","title":"Assouad spectrum of Gatzouras–Lalley carpets","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Leverhulme Trust; Engineering and Physical Sciences Research Council; University of St Andrews; Loughborough University","keywords":"","score_opus":0.01407079611719322,"score_gpt":0.31972890103032814,"score_spread":0.30565810491313494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416695537","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.537403,0.003480518,0.08731485,0.0046399785,0.001233896,0.000082854436,0.00062267133,0.0005065819,0.36471567],"genre_scores_gemma":[0.9319989,0.0012582745,0.010760073,0.00055016356,0.00063584105,0.00010768362,0.0003162029,0.00021119895,0.054161627],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999445,0.00011721603,0.000024050994,0.00012837874,0.0001528039,0.0001324476],"domain_scores_gemma":[0.9993912,0.00015117721,0.00011209975,0.000051512725,0.00012059027,0.00017342193],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006535075,0.0011920024,0.001526603,0.0045244074,0.0034922147,0.003911177,0.001603289,0.0019887877,0.013339287],"category_scores_gemma":[0.0024342001,0.00063114025,0.0010279694,0.0018720308,0.004152429,0.0034983566,0.0024956437,0.0030470325,0.0019650103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059433438,0.000009121873,0.0001389026,0.000027458518,0.000010625698,0.00012782622,0.00015271668,0.0007862658,0.0004997231,0.99464923,0.0011542878,0.0023843772],"study_design_scores_gemma":[0.000039838233,0.000026905713,0.0004744867,0.000039718965,0.000013665692,0.00030336206,0.00022208331,0.0053609763,0.00033015202,0.98708797,0.00607387,0.000027001386],"about_ca_topic_score_codex":0.0029872765,"about_ca_topic_score_gemma":0.001654792,"teacher_disagreement_score":0.013339287,"about_ca_system_score_codex":0.0027226266,"about_ca_system_score_gemma":0.0009645536,"threshold_uncertainty_score":0.04462433},"labels":[],"label_agreement":null},{"id":"W4416733381","doi":"10.1016/j.aim.2025.110708","title":"Deformation quantization via categorical factorization homology","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Horizon 2020 Framework Programme; Deutsche Forschungsgemeinschaft; Ministry of Colleges and Universities; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Innovation, Science and Economic Development Canada; Simons Foundation","keywords":"Categorical variable; Factorization; Homology (biology); Quantization (signal processing); Deformation (meteorology); Algebra over a field","score_opus":0.009045355549890374,"score_gpt":0.2811311759232693,"score_spread":0.2720858203733789,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416733381","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23790105,0.002596679,0.6450527,0.009239881,0.0012197741,0.000105665946,0.0005805152,0.001251669,0.102052175],"genre_scores_gemma":[0.93010825,0.0010115638,0.039955124,0.0008233455,0.0007989951,0.000055522392,0.00032302382,0.0002576272,0.026666628],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870765,0.0002757588,0.00006676482,0.00034542347,0.00044833124,0.00015599627],"domain_scores_gemma":[0.9985424,0.00046710818,0.00015837255,0.00030995038,0.00029892387,0.00022331193],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013734056,0.0005270379,0.0009946736,0.002406778,0.0013128133,0.0035940106,0.0010679079,0.0012642768,0.008076769],"category_scores_gemma":[0.0036590258,0.0005077851,0.0008030908,0.0013430408,0.0043281284,0.008719026,0.003477991,0.0028925089,0.0011177761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000074173718,0.000005721526,0.00007330275,0.000008651144,0.0000021724707,0.000013799751,0.00008491663,0.00032157204,0.00021885891,0.9963492,0.0004072222,0.0025071835],"study_design_scores_gemma":[0.000004199542,0.0000069544676,0.00011100587,0.000003910937,0.0000024350163,0.00003694686,0.000042744938,0.0035816617,0.00013324988,0.99436176,0.001707566,0.0000075387734],"about_ca_topic_score_codex":0.0013042713,"about_ca_topic_score_gemma":0.00085955433,"teacher_disagreement_score":0.008076769,"about_ca_system_score_codex":0.0016703232,"about_ca_system_score_gemma":0.0006088101,"threshold_uncertainty_score":0.027019441},"labels":[],"label_agreement":null},{"id":"W4417372861","doi":"10.1016/j.aim.2025.110738","title":"The K-theory of the C*-algebras associated to rational functions","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Rational function; Algebra over a field; Elliptic rational functions; Function (biology); Action (physics)","score_opus":0.02453644743380576,"score_gpt":0.35905743112337185,"score_spread":0.33452098368956606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417372861","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49147177,0.008500653,0.11185649,0.0060089594,0.001198655,0.00008073132,0.00067477446,0.00039992182,0.37980822],"genre_scores_gemma":[0.969477,0.0016823701,0.008272387,0.0004470296,0.0006706451,0.000038769474,0.00018923775,0.00005393893,0.019168627],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992655,0.00018659014,0.00003945853,0.00013642664,0.00022069995,0.00015129593],"domain_scores_gemma":[0.99902713,0.0002861519,0.00013630412,0.00010246335,0.0002488764,0.00019903468],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009798094,0.00084648066,0.00098848,0.002650507,0.0025161912,0.005030659,0.0014087838,0.0013901037,0.005179145],"category_scores_gemma":[0.0017833597,0.0004043277,0.00074785796,0.001951122,0.005473304,0.0054172184,0.0016313996,0.002588867,0.0010099659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011898037,0.000007517987,0.00005139479,0.000021149282,0.000003859093,0.000022445312,0.00008759147,0.0003155632,0.0003172091,0.9975473,0.00038874656,0.0012252592],"study_design_scores_gemma":[0.000007312478,0.00000805816,0.00011651739,0.0000103941775,0.0000032959165,0.000046257115,0.000049773855,0.0016405038,0.0001403158,0.9965113,0.001456214,0.000010113793],"about_ca_topic_score_codex":0.0021217603,"about_ca_topic_score_gemma":0.001143302,"teacher_disagreement_score":0.005179145,"about_ca_system_score_codex":0.0022465268,"about_ca_system_score_gemma":0.0014168054,"threshold_uncertainty_score":0.017325938},"labels":[],"label_agreement":null},{"id":"W7116983411","doi":"10.1016/j.aim.2025.110752","title":"Distances in sparse sets of large Hausdorff dimension","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Dimension (graph theory); Hausdorff dimension; Hausdorff distance; Hausdorff space; Set (abstract data type)","score_opus":0.014074414977806054,"score_gpt":0.33875957578819693,"score_spread":0.3246851608103909,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7116983411","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78209865,0.0020508373,0.19533253,0.0029261867,0.00012510324,0.000036382335,0.0006213852,0.00021189141,0.016596999],"genre_scores_gemma":[0.97711617,0.00088417076,0.016746689,0.0002612144,0.0003186462,0.00009658261,0.00042008987,0.00007354699,0.004082797],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979126,0.000639861,0.000119163014,0.00035253505,0.0007707928,0.00020508078],"domain_scores_gemma":[0.9643511,0.026923498,0.0031322227,0.0015771148,0.0017293884,0.002286721],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021794776,0.0006897854,0.0022804055,0.005060337,0.0019898498,0.004682567,0.0023667072,0.0016150307,0.00401431],"category_scores_gemma":[0.025178865,0.001089198,0.00076262193,0.003848526,0.006029417,0.010770826,0.0046849763,0.0034415447,0.00030601688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004325004,0.00001960802,0.0008879525,0.00006031596,0.000016587539,0.000056697983,0.00030002499,0.005318831,0.00042810882,0.98950315,0.0004961023,0.0028692614],"study_design_scores_gemma":[0.000010234641,0.0000121231205,0.00066112523,0.00001111691,0.0000077043815,0.00008663785,0.00011988334,0.01816511,0.00014519476,0.9802659,0.00050413696,0.0000108011345],"about_ca_topic_score_codex":0.0015457305,"about_ca_topic_score_gemma":0.0012832804,"teacher_disagreement_score":0.005060337,"about_ca_system_score_codex":0.0021634242,"about_ca_system_score_gemma":0.0005010064,"threshold_uncertainty_score":0.015696824},"labels":[],"label_agreement":null}]}