{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":46,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":46,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"query_hash":"11cadec94a49","filters":{"venue":"Mathematical Research Letters"}},"results":[{"id":"W2009597140","doi":"10.4310/mrl.2009.v16.n5.a3","title":"A free boundary value problem for the full Euler system and 2-d transonic shock in a large variable nozzle","year":2009,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true},"ca_institutions":"","funders":"","keywords":"Transonic; Mathematics; Variable (mathematics); Nozzle; Euler's formula; Shock (circulatory); Euler system; Boundary value problem; Boundary values; Mathematical analysis; Euler equations; Mechanics; Aerodynamics; Physics; Thermodynamics","retraction":null,"screen_n_in":null,"score":{"opus":0.08750280576755239,"gpt":0.3788227428250611,"spread":0.2913199370575087,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007257101,0.0002181083,0.0004211663,0.0002503549,0.0005475015,0.0002489569,0.0006391265,0.0001336386,0.00009741593],"category_scores_gemma":[0.003376493,0.0001564854,0.0001179571,0.0006787039,0.0002310605,0.0001977517,0.0001288018,0.0006943285,0.00005183288],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003447609,"about_ca_system_score_gemma":0.0001536221,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001293599,"about_ca_topic_score_gemma":0.00002621606,"domain_scores_codex":[0.9963698,0.000441514,0.0006581401,0.0004110231,0.001045087,0.00107445],"domain_scores_gemma":[0.9912909,0.007454832,0.00007472152,0.0008389915,0.0001607593,0.0001798202],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007611511,0.0003525316,0.000007354789,0.001049749,0.00004325678,0.0000111491,0.001725001,0.00002392681,0.003686989,0.9754412,0.01726653,0.0003162156],"study_design_scores_gemma":[0.002804683,0.0002577852,0.00008069041,0.0008120006,0.00007607264,0.00005759734,0.001071504,0.07567409,0.000154763,0.9089763,0.009712581,0.0003219203],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04115494,0.0003967076,0.8987062,0.04951837,0.00007278805,0.005035996,0.0001465515,0.0002010463,0.004767393],"genre_scores_gemma":[0.7142286,0.00003062657,0.2795577,0.001670118,0.0003315606,0.002596815,0.000016443,0.0001499808,0.001418124],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6730737,"threshold_uncertainty_score":0.6381289,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963544886","doi":"10.4310/mrl.2010.v17.n6.a9","title":"On the canonical line bundle and negative holomorphic sectional curvature","year":2010,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Holomorphic function; Canonical bundle; Line bundle; Sectional curvature; Normal bundle; Curvature; Pure mathematics; Differential geometry; Metric (unit); Bundle; Line (geometry); Algebraic number; Dimension (graph theory); Mathematical analysis; Geometry; Vector bundle; Scalar curvature","retraction":null,"screen_n_in":null,"score":{"opus":0.1617302583919892,"gpt":0.3984374215903015,"spread":0.2367071631983123,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003046047,0.0001820112,0.0002433104,0.000147364,0.0004576933,0.0001746717,0.0004367565,0.0001492754,0.002074564],"category_scores_gemma":[0.01043716,0.0001094943,0.00008478638,0.0004270011,0.0007489971,0.0000672865,0.0002469236,0.002265166,0.0003163822],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003423837,"about_ca_system_score_gemma":0.00005397782,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001262001,"about_ca_topic_score_gemma":0.0000355966,"domain_scores_codex":[0.9973865,0.0003392907,0.0002815081,0.0003418484,0.001093901,0.0005569784],"domain_scores_gemma":[0.9863418,0.01270743,0.00005090083,0.0005486971,0.0001487134,0.0002025],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000420885,0.0003037609,0.00005980609,0.00007833706,0.00004271441,0.00001838632,0.0002340768,0.000001090914,0.009872919,0.9682717,0.02099961,0.0000755598],"study_design_scores_gemma":[0.0002826987,0.0002073917,0.0008135564,0.00005967318,0.00001113764,0.00006849179,0.0001035734,0.0008241637,0.001591047,0.9947644,0.001121363,0.0001525326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9515037,0.000006824987,0.001745731,0.0389415,0.00008774031,0.0004544423,0.00001048249,0.00005889544,0.007190713],"genre_scores_gemma":[0.9929078,0.000001985349,0.004022413,0.001536825,0.0002610197,0.00009778048,0.000001699821,0.00002893952,0.001141501],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04140416,"threshold_uncertainty_score":0.9988376,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963315202","doi":"10.4310/mrl.2009.v16.n2.a11","title":"Some New Examples of Non-Kähler Ricci Solitons","year":2009,"lang":"de","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ricci flow; Pure mathematics; Mathematical analysis; Mathematical physics; Ricci curvature; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.1175189234919122,"gpt":0.3922288750657811,"spread":0.2747099515738689,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.005253863,0.0006098972,0.001698914,0.001461072,0.0003047817,0.0003700592,0.001452268,0.000445308,0.002494207],"category_scores_gemma":[0.007772336,0.0004863854,0.0008445967,0.003148597,0.000566114,0.0003642915,0.000372836,0.00172947,0.003277289],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002202485,"about_ca_system_score_gemma":0.0003558536,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000777548,"about_ca_topic_score_gemma":0.000003569487,"domain_scores_codex":[0.9908924,0.0006001093,0.001707583,0.0008662029,0.003905436,0.002028264],"domain_scores_gemma":[0.9913735,0.004881257,0.0003842688,0.001882908,0.0004880686,0.0009900216],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001157549,0.002811637,0.00006363364,0.001720898,0.001143274,0.0001573368,0.003643492,0.00004451421,0.02611634,0.2951103,0.6561496,0.01292319],"study_design_scores_gemma":[0.002014965,0.0009759012,0.001377556,0.001640042,0.0009617468,0.00001499969,0.001188644,0.007213545,0.005144882,0.950795,0.02749062,0.001182109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5600898,0.01694917,0.2280906,0.1641663,0.001358763,0.005999724,0.0001499609,0.0003884323,0.02280728],"genre_scores_gemma":[0.8751078,0.001475552,0.09658333,0.003903012,0.006889927,0.00007370958,0.00006462953,0.000269856,0.01563223],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6556847,"threshold_uncertainty_score":0.9997588,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2065001386","doi":"10.4310/mrl.2007.v14.n4.a2","title":"Super-rigid Donaldson-Thomas Invariants","year":2007,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Pure mathematics; Mathematical economics; Algebra over a field","retraction":null,"screen_n_in":null,"score":{"opus":0.1338516222712375,"gpt":0.4100643083427388,"spread":0.2762126860715013,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.01436178,0.0002817416,0.0004528111,0.00047875,0.0003683042,0.0001350916,0.0007955228,0.0001933103,0.002817656],"category_scores_gemma":[0.009640991,0.0002301878,0.0001814336,0.000970928,0.0006433695,0.0002256442,0.0003629373,0.001055415,0.002516134],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001647133,"about_ca_system_score_gemma":0.00006051967,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008838428,"about_ca_topic_score_gemma":0.000004261536,"domain_scores_codex":[0.9948252,0.0004610666,0.0006873222,0.0005061546,0.001967687,0.001552535],"domain_scores_gemma":[0.9869834,0.01135443,0.00007175293,0.0008844786,0.0001858243,0.00052012],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001179101,0.0004491033,0.0001307485,0.0003814465,0.00008128389,0.0003716378,0.00122779,2.278479e-7,0.01500898,0.8945234,0.08670349,0.001003915],"study_design_scores_gemma":[0.0005439975,0.00007897463,0.0002359672,0.0001540465,0.00001862609,0.00009800235,0.0008035837,0.0000461974,0.01435051,0.975271,0.008080764,0.0003183265],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8226427,0.00004696134,0.08360058,0.007318938,0.0001438203,0.0006645253,0.000006167374,0.000222734,0.08535356],"genre_scores_gemma":[0.9611985,0.000006434494,0.03086643,0.00143558,0.0004705811,0.00005164294,0.000006042051,0.0001016177,0.005863147],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1385558,"threshold_uncertainty_score":0.9987012,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2087792891","doi":"10.4310/mrl.2010.v17.n3.a8","title":"Geography of simply connected spin symplectic 4-manifolds","year":2010,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Minnesota","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Simply connected space; Spin (aerodynamics); Moment map; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.07693588414338981,"gpt":0.4018431937848707,"spread":0.3249073096414808,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002793988,0.0002091193,0.000526447,0.0009690967,0.0001641946,0.00005161717,0.0006585566,0.0001931771,0.002750902],"category_scores_gemma":[0.01376102,0.0001692591,0.0002032157,0.001587163,0.0009511076,0.00008310722,0.000238916,0.001083613,0.0002849173],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002574701,"about_ca_system_score_gemma":0.00006445764,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003721511,"about_ca_topic_score_gemma":0.00001660527,"domain_scores_codex":[0.9966618,0.0002797678,0.0006249204,0.0003777418,0.001124239,0.0009315402],"domain_scores_gemma":[0.9918471,0.006663566,0.0001266349,0.0007917089,0.0003002031,0.000270796],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002625906,0.0004610417,0.001389156,0.0005177988,0.0001072928,0.00004269589,0.0002835412,3.071234e-7,0.06641809,0.9170579,0.01283699,0.0008588943],"study_design_scores_gemma":[0.0006212451,0.0002220813,0.002969728,0.00006039677,0.00003458983,0.00005625946,0.0001793275,0.0001980997,0.008814885,0.9857165,0.0008853222,0.0002415617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.980015,0.0000114435,0.006628897,0.006060882,0.0001196834,0.0004917962,0.000007222826,0.0001043717,0.006560721],"genre_scores_gemma":[0.9867361,0.000004119991,0.0125821,0.0003065555,0.0001146263,0.00005655861,0.000002851393,0.00004271718,0.0001543596],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06865857,"threshold_uncertainty_score":0.9981607,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004840325","doi":"10.4310/mrl.2002.v9.n6.a5","title":"Polynomial representatives of Schubert classes in $QH^*(G/B)$","year":2002,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Schubert polynomial; Schubert calculus; Combinatorics; Grassmannian","retraction":null,"screen_n_in":null,"score":{"opus":0.2219526508072765,"gpt":0.4531566024657421,"spread":0.2312039516584656,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001941775,0.000279631,0.0007519564,0.0005895901,0.0001019505,0.00006168231,0.0007717686,0.0001463157,0.003596499],"category_scores_gemma":[0.01959428,0.0002450169,0.0001642089,0.001076633,0.0007664369,0.0002945878,0.0003727722,0.0008471468,0.000358959],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002046315,"about_ca_system_score_gemma":0.00003262574,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001045287,"about_ca_topic_score_gemma":0.000005727364,"domain_scores_codex":[0.995272,0.0006021405,0.001060923,0.0004862405,0.001630522,0.0009482187],"domain_scores_gemma":[0.9866273,0.01177755,0.0002019569,0.000983384,0.0002017558,0.0002080242],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001447807,0.003430611,0.0003614184,0.002499476,0.0001494193,0.0002588324,0.008454741,0.00001332954,0.03355489,0.5179276,0.4302182,0.002986778],"study_design_scores_gemma":[0.001573906,0.0002097778,0.0001022596,0.0008614529,0.00001949651,0.00002677672,0.001280045,0.002908183,0.01309524,0.9766191,0.002855184,0.0004485296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9012712,0.0001808495,0.008874774,0.009084934,0.0002873646,0.002520139,0.00006179262,0.0002846789,0.07743432],"genre_scores_gemma":[0.8747883,0.00004936572,0.1216223,0.0001583302,0.0002504118,0.000371054,0.000004652848,0.0001562235,0.002599285],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4586916,"threshold_uncertainty_score":0.9991499,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964232475","doi":"10.4310/mrl.2008.v15.n1.a6","title":"The $K$-theory of abelian symplectic quotients","year":2008,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"Banff International Research Station for Mathematical Innovation and Discovery; University of Toronto; American Institute of Mathematics","keywords":"Mathematics; Symplectic geometry; Moment map; Equivariant map; Morse theory; Pure mathematics; Maximal torus; Quotient; Symplectic manifold; Equivariant cohomology; Algebra over a field; Discrete mathematics; Cohomology; Lie algebra","retraction":null,"screen_n_in":null,"score":{"opus":0.1847286905414482,"gpt":0.4140040588339711,"spread":0.2292753682925229,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.004132571,0.000256056,0.0005038454,0.0002183157,0.0008297642,0.00004901104,0.001098744,0.00010527,0.0004804643],"category_scores_gemma":[0.0275878,0.0001697206,0.0001954688,0.0008479725,0.001653604,0.0001377014,0.0003762499,0.0007322732,0.0003835896],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000180809,"about_ca_system_score_gemma":0.0001142,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001710504,"about_ca_topic_score_gemma":0.000001033555,"domain_scores_codex":[0.9948298,0.0007936992,0.0008703002,0.0003468873,0.002132704,0.00102663],"domain_scores_gemma":[0.9726446,0.02524552,0.0002178623,0.001246223,0.0004134479,0.000232348],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005511294,0.0003288193,0.00002654073,0.0003320962,0.00007513364,0.00003515726,0.001227566,0.00000127971,0.002648505,0.9632561,0.03143546,0.0005782257],"study_design_scores_gemma":[0.0003898655,0.0001193978,0.00003146987,0.0001929752,0.00001670549,0.00005301664,0.0003603205,0.0001342549,0.003289054,0.9933138,0.001924987,0.0001741645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8626827,0.0001968197,0.1032606,0.005255095,0.0006192031,0.002974603,0.0000496601,0.0004152346,0.02454612],"genre_scores_gemma":[0.9584604,0.00005714898,0.03659176,0.0001882237,0.0002347586,0.0004136175,0.000004460793,0.0001845034,0.003865114],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09577774,"threshold_uncertainty_score":0.9806032,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2124948356","doi":"10.4310/mrl.2009.v16.n1.a9","title":"Uniform Bounds on Pre-Images under Quadratic Dynamical Systems","year":2009,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; American Institute of Mathematics","keywords":"Mathematics; Combinatorics; Upper and lower bounds; Degree (music); Constant (computer programming); Orbit (dynamics); Field (mathematics); Finite set; Quadratic equation; Discrete mathematics; Mathematical analysis; Pure mathematics; Geometry; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.07623561728827763,"gpt":0.3911600919699045,"spread":0.3149244746816269,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.004471589,0.0003402337,0.0005669986,0.00040991,0.000386954,0.0003531479,0.0007186666,0.000202312,0.0004918108],"category_scores_gemma":[0.003308255,0.000260007,0.0001792668,0.0006892809,0.0005036264,0.0002103089,0.0001234482,0.001092852,0.001229207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003216278,"about_ca_system_score_gemma":0.00006366854,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006458934,"about_ca_topic_score_gemma":7.859596e-7,"domain_scores_codex":[0.9949176,0.0007244974,0.0006644888,0.0005183158,0.001986168,0.001188962],"domain_scores_gemma":[0.9928261,0.005526666,0.00009603995,0.001016736,0.0001404726,0.0003939528],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001216772,0.0007211374,0.000008961008,0.0004331919,0.00006787026,0.00006037684,0.0004822052,0.00005924193,0.003496765,0.9775509,0.01653325,0.0004644059],"study_design_scores_gemma":[0.0005092965,0.0004550712,0.0002314229,0.0004249477,0.00002761934,0.00005815838,0.0006578129,0.002244769,0.001155342,0.9936343,0.0002499171,0.0003512846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8430262,0.00005171811,0.0744364,0.02019259,0.000172046,0.00133868,0.00001044094,0.0003774045,0.06039457],"genre_scores_gemma":[0.9908496,0.000003944454,0.003228114,0.001197293,0.000213114,0.00007310079,0.00000693953,0.00005419788,0.004373701],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1478235,"threshold_uncertainty_score":0.9999852,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1979669127","doi":"10.4310/mrl.2003.v10.n2.a12","title":"Clifford algebras and the classical dynamical Yang-Baxter equation","year":2003,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Clifford algebra; Mathematics; Classification of Clifford algebras; Multiplication (music); Wedge (geometry); Quadratic equation; Exponential function; Algebra over a field; Pure mathematics; Clifford analysis; Element (criminal law); Mathematical analysis; Algebra representation; Jordan algebra; Combinatorics; Geometry; Law","retraction":null,"screen_n_in":null,"score":{"opus":0.1250728714432696,"gpt":0.4043923471110604,"spread":0.2793194756677908,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.005002419,0.0002306199,0.0004130453,0.0001384139,0.0003618206,0.0001857075,0.0004084359,0.0001465603,0.0003733516],"category_scores_gemma":[0.01858383,0.0001432756,0.0001275669,0.0003436967,0.001894993,0.0001577119,0.000227095,0.001088398,0.0002894361],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001476114,"about_ca_system_score_gemma":0.00004213264,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001365697,"about_ca_topic_score_gemma":0.000003584607,"domain_scores_codex":[0.9956414,0.001168949,0.0005447461,0.000443896,0.001381207,0.000819792],"domain_scores_gemma":[0.9872278,0.01159464,0.00007920677,0.0007489466,0.0001211973,0.0002282287],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005033679,0.0001044146,0.00002992879,0.0001155007,0.00003285596,0.00001960737,0.0003941448,7.897755e-7,0.0003682495,0.9945762,0.003513703,0.0007942635],"study_design_scores_gemma":[0.001216749,0.00003870783,0.00002930024,0.00006479354,0.00002181901,0.00004103763,0.0001618538,0.003070674,0.0004268906,0.9919468,0.002812619,0.000168756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4580963,0.00008515364,0.4575716,0.06124629,0.0001470949,0.001726077,0.00000400058,0.0001739622,0.02094953],"genre_scores_gemma":[0.8874584,0.00002370351,0.107185,0.002149936,0.0002369279,0.0003758847,0.000003693292,0.0001091027,0.00245731],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4293622,"threshold_uncertainty_score":0.989683,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2020745636","doi":"10.4310/mrl.2012.v19.n1.a17","title":"Global well-posedness and scattering for defocusing energy-critical NLS in the exterior of balls with radial data","year":2012,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"Mathematics; Sobolev space; Mathematical analysis; Unit sphere; Dirichlet boundary condition; Boundary value problem; Scattering; Energy (signal processing); Dirichlet problem; Initial value problem; Physics; Optics","retraction":null,"screen_n_in":null,"score":{"opus":0.2127889079091309,"gpt":0.4563640544307394,"spread":0.2435751465216086,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004416351,0.0002671516,0.0005609041,0.0001124679,0.0001670005,0.0001233662,0.0009988716,0.00008900095,0.00003367941],"category_scores_gemma":[0.003128572,0.0001724425,0.00006092964,0.0005145964,0.001105135,0.0006016785,0.0006022956,0.0003142054,0.000008651957],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001053878,"about_ca_system_score_gemma":0.0000493129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000012312,"about_ca_topic_score_gemma":0.000009619583,"domain_scores_codex":[0.9963211,0.0003676919,0.0006263145,0.0004400916,0.001102787,0.001141999],"domain_scores_gemma":[0.9887363,0.009662219,0.00009555082,0.00116029,0.0001138075,0.0002318452],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001409082,0.0007653122,0.0002111844,0.002401905,0.00004482063,0.00001338464,0.00113248,0.000005087496,0.006766627,0.9849226,0.001610556,0.00198511],"study_design_scores_gemma":[0.0008404215,0.0001280115,0.0001316579,0.0006781267,0.00006145567,0.00007713613,0.0005914455,0.002024318,0.001175591,0.9937519,0.0002511945,0.0002887263],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3475396,0.0001711822,0.6400263,0.008033962,0.00006585453,0.001625536,0.00008263413,0.00005509436,0.002399822],"genre_scores_gemma":[0.8575991,0.000005660075,0.1416482,0.0003312518,0.0001609423,0.0001864324,0.000007031797,0.00005146739,0.000009953809],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5100594,"threshold_uncertainty_score":0.7032,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2888657834","doi":"10.4310/mrl.2020.v27.n4.a9","title":"Chekanov’s dichotomy in contact topology","year":2020,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Submanifold; Symplectic geometry; Rigidity (electromagnetism); Lagrangian; Dimension (graph theory); Orbit (dynamics); Topology (electrical circuits)","retraction":null,"screen_n_in":null,"score":{"opus":0.2011176721918493,"gpt":0.4220875591658638,"spread":0.2209698869740145,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002215489,0.0001822687,0.0005652262,0.0003781288,0.00008198757,0.00009525728,0.0005344658,0.0001329634,0.002473206],"category_scores_gemma":[0.009422739,0.0001421004,0.000158229,0.0018383,0.00017423,0.00011715,0.000207326,0.0009793832,0.0008374747],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000097246,"about_ca_system_score_gemma":0.00004460374,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001910601,"about_ca_topic_score_gemma":0.00001191029,"domain_scores_codex":[0.9967825,0.0004009241,0.000537216,0.0004211443,0.00105841,0.0007998301],"domain_scores_gemma":[0.9964514,0.002653763,0.00006078932,0.0003954905,0.0001022002,0.0003363694],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001483734,0.0008156463,0.00309004,0.0009697448,0.0002215555,0.0006780486,0.004604658,0.000008123676,0.02372532,0.8083923,0.1549493,0.002396905],"study_design_scores_gemma":[0.004470042,0.0007742218,0.004664838,0.0003911021,0.0001262366,0.00004240111,0.004121667,0.01366448,0.003852691,0.918053,0.04848297,0.001356364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8638076,0.00009905169,0.02331494,0.09067042,0.00004462778,0.0007956804,0.000004526403,0.0001140529,0.02114908],"genre_scores_gemma":[0.9911304,0.000009389913,0.005303646,0.003049396,0.0001630441,0.00008059505,0.000003159298,0.00003207212,0.0002283428],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1273227,"threshold_uncertainty_score":0.9999405,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2049773481","doi":"10.4310/mrl.2003.v10.n5.a13","title":"Irreducibility of Hecke polynomials","year":2003,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Irreducibility; Mathematics; Pure mathematics; Algebra over a field","retraction":null,"screen_n_in":null,"score":{"opus":0.2425927667527737,"gpt":0.4667951790185585,"spread":0.2242024122657849,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.01789238,0.0002176128,0.0006375822,0.0003499175,0.0001663831,0.00006451155,0.00072035,0.0001282321,0.004013698],"category_scores_gemma":[0.03562541,0.0001755282,0.0002336584,0.0008202388,0.001305283,0.000125767,0.0002226044,0.0007868047,0.0006780622],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002023777,"about_ca_system_score_gemma":0.0001963386,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001475511,"about_ca_topic_score_gemma":0.000002635431,"domain_scores_codex":[0.9933424,0.001981243,0.0008439031,0.0005432098,0.002169268,0.001119948],"domain_scores_gemma":[0.9892835,0.008331367,0.0001106914,0.00151092,0.0003656124,0.0003979188],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005631123,0.0006350431,0.0002950902,0.0007234925,0.00009691366,0.00002866377,0.0006718476,9.326673e-7,0.03266874,0.9384614,0.02601849,0.0003431067],"study_design_scores_gemma":[0.0004416001,0.00007614177,0.00005384311,0.0001200289,0.00001871111,0.00002269298,0.0006833594,0.0001054307,0.038816,0.9580481,0.001430018,0.0001840888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9104404,0.00004130689,0.01503609,0.003802715,0.0000538971,0.001024893,0.00001098253,0.00007731684,0.0695124],"genre_scores_gemma":[0.9741772,0.000003573356,0.02181849,0.00009282544,0.00005832114,0.00007727586,0.000001170722,0.00006133617,0.00370985],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06580256,"threshold_uncertainty_score":0.9968967,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2077681785","doi":"10.4310/mrl.2010.v17.n4.a9","title":"On the distribution of the number of points on algebraic curves in extensions of finite fields","year":2010,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"University of Waterloo; Science Foundation Ireland","keywords":"Mathematics; Multiplicative function; Distribution (mathematics); Finite field; Elliptic curve; Combinatorics; Genus; Algebraic curve; Interval (graph theory); Asymptotic formula; Algebraic number field; Algebraic number; Independence (probability theory); Function (biology); Discrete mathematics; Pure mathematics; Mathematical analysis; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.09547495727826212,"gpt":0.410408493810522,"spread":0.3149335365322599,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.006216414,0.000134064,0.0003754091,0.0001040145,0.00008551852,0.00001147901,0.0008503626,0.0001078704,0.00134577],"category_scores_gemma":[0.04075585,0.00007034051,0.0001852758,0.0007132181,0.001200347,0.00003812754,0.0003038701,0.001364001,0.00009097958],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003766346,"about_ca_system_score_gemma":0.00007304358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002620483,"about_ca_topic_score_gemma":0.0000161951,"domain_scores_codex":[0.9961475,0.0008805207,0.0006073611,0.0002070304,0.001728164,0.0004293837],"domain_scores_gemma":[0.9740091,0.02433799,0.0001499997,0.001161794,0.0002648443,0.00007629039],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007614699,0.0005673174,0.0004946656,0.000638806,0.00003402494,0.000004362069,0.0003340314,0.000003246759,0.005353977,0.9803045,0.01209696,0.00009197737],"study_design_scores_gemma":[0.0002791728,0.00006841058,0.001733741,0.001493774,0.00001368699,0.00000394643,0.0001658538,0.000946437,0.01766709,0.9775212,0.00002869564,0.00007794482],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9715748,0.00000315779,0.0009024482,0.02265923,0.0000300386,0.0006262995,0.00002949504,0.0000070177,0.004167475],"genre_scores_gemma":[0.9989783,0.000006620228,0.0002969051,0.0003367341,0.00001680749,0.00004009693,0.000002326067,0.00001893686,0.0003032634],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03453944,"threshold_uncertainty_score":0.9995672,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1641274295","doi":"10.4310/mrl.2005.v12.n4.a5","title":"Bundle Constructions of Calibrated Submanifolds in $\\mathbb R^7$ and $\\mathbb R^8$","year":2005,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Pure mathematics; Bundle; Normal bundle; Mathematical analysis; Vector bundle; Composite material","retraction":null,"screen_n_in":null,"score":{"opus":0.1113185122845168,"gpt":0.396066834893166,"spread":0.2847483226086491,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002542952,0.000193453,0.000571923,0.0008522551,0.0001096162,0.0000942508,0.0003034186,0.0001451843,0.0007507449],"category_scores_gemma":[0.002412252,0.000157314,0.0001160063,0.001794649,0.0004908971,0.0002222473,0.0001761187,0.0005718709,0.00008805957],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008932845,"about_ca_system_score_gemma":0.00005282377,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004738835,"about_ca_topic_score_gemma":0.0000895151,"domain_scores_codex":[0.9970039,0.0002905484,0.0007484703,0.0003489608,0.0009801622,0.000627992],"domain_scores_gemma":[0.9969899,0.002048515,0.0001091262,0.0004772423,0.0001689755,0.000206214],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005562805,0.001659064,0.003090664,0.0009919902,0.0002064817,0.00004419274,0.002991332,0.00003933081,0.01962717,0.950855,0.01579329,0.004645851],"study_design_scores_gemma":[0.003482585,0.0004165205,0.00519117,0.0008582498,0.0002026271,0.0002153823,0.004644547,0.03261294,0.0108212,0.931619,0.008752094,0.001183671],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9846163,0.0001213105,0.005165732,0.004901377,0.00001965758,0.0003704939,0.000007997632,0.00004514283,0.004752023],"genre_scores_gemma":[0.9766586,0.00002940236,0.02263796,0.0001375787,0.00006957496,0.00004445126,0.000003086245,0.00003043449,0.0003888808],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03257361,"threshold_uncertainty_score":0.822013,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3154046011","doi":"10.4310/mrl.2021.v28.n1.a7","title":"The doubling archimedean zeta integrals for $p$-adic interpolation","year":2021,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Interpolation (computer graphics); Euler's formula; Pure mathematics; Modular design; Mathematical analysis; Algebra over a field; Classical mechanics; Motion (physics); Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.216463625027215,"gpt":0.4772348708306303,"spread":0.2607712458034153,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.003654646,0.0001774811,0.0002977731,0.0001749609,0.0006365714,0.0003159292,0.0004974504,0.00007501699,0.0001804744],"category_scores_gemma":[0.01978754,0.0001158636,0.0002075855,0.0005998537,0.0003651521,0.0001497492,0.0002634043,0.0006614649,0.00013694],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009223812,"about_ca_system_score_gemma":0.00008379018,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.199942e-7,"about_ca_topic_score_gemma":0.0000106944,"domain_scores_codex":[0.9970184,0.0003206631,0.0005323243,0.0003727047,0.000885503,0.0008704347],"domain_scores_gemma":[0.98342,0.01526133,0.0000831295,0.0006975511,0.0003461204,0.0001919428],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005629838,0.0001069052,0.00001568804,0.0003032809,0.00006847034,0.00001789864,0.0005487593,0.000001871753,0.01380713,0.9593187,0.01596361,0.0097914],"study_design_scores_gemma":[0.0003651788,0.00004514725,0.00001159242,0.000196221,0.00001554253,0.00001944608,0.001003323,0.002974143,0.00700342,0.9821873,0.006034274,0.0001443892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2968139,0.0002396205,0.6539701,0.04115409,0.0002334609,0.00125908,0.00001502065,0.0001572778,0.006157456],"genre_scores_gemma":[0.8291352,0.00006528552,0.1605153,0.00154724,0.000813506,0.0007055986,0.00003712509,0.0001717679,0.007008887],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5323213,"threshold_uncertainty_score":0.9884692,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1993477669","doi":"10.4310/mrl.2002.v9.n1.a3","title":"Ernst equation, Fay identities and variational formulas on hyperelliptic curves","year":2002,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hyperelliptic curve; Mathematical analysis; Pure mathematics; Calculus (dental); Algebra over a field; Orthodontics","retraction":null,"screen_n_in":null,"score":{"opus":0.2660336972558741,"gpt":0.3803182427673873,"spread":0.1142845455115133,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00216963,0.0001788211,0.0003373989,0.0004483494,0.0002728032,0.0002276358,0.0002709656,0.00008196519,0.00349199],"category_scores_gemma":[0.006884414,0.0001369908,0.0001125869,0.0007604185,0.0002028674,0.0002270017,0.0001068951,0.000448878,0.0009412255],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007777209,"about_ca_system_score_gemma":0.00001184221,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004338827,"about_ca_topic_score_gemma":0.000001941849,"domain_scores_codex":[0.9966856,0.0002294092,0.0004373543,0.0003243048,0.001818411,0.0005049546],"domain_scores_gemma":[0.9950541,0.004086131,0.00007810596,0.0003966499,0.0002098053,0.0001752117],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009584965,0.0004604941,0.0001422688,0.0009803793,0.000158899,0.00002274765,0.0007256467,0.00001569921,0.0003600458,0.7997348,0.1962071,0.001182336],"study_design_scores_gemma":[0.0007084971,0.0001912054,0.0006760088,0.0007110958,0.0001187703,0.00002860497,0.0003407174,0.04290883,0.0001533479,0.9506956,0.003023779,0.0004435237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.613752,0.002082049,0.2135547,0.07954074,0.0002384294,0.002290423,0.0000420764,0.0003357685,0.08816376],"genre_scores_gemma":[0.9750398,0.000427924,0.01189497,0.002391915,0.0002972503,0.0001479583,0.00001448146,0.00005991482,0.0097258],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3612877,"threshold_uncertainty_score":0.9998367,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1966825732","doi":"10.4310/mrl.2012.v19.n2.a12","title":"Duality of the cones of divisors and curves","year":2012,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Duality (order theory); Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.1635911082566577,"gpt":0.4139886644645482,"spread":0.2503975562078905,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005711174,0.00009501844,0.000302709,0.00006893899,0.00008088256,0.000007165783,0.0002928445,0.00004871346,0.0003115537],"category_scores_gemma":[0.007317015,0.00005691078,0.00008680336,0.0003189429,0.001089526,0.00009503304,0.0003261036,0.0002690372,0.00001560825],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001286094,"about_ca_system_score_gemma":0.00001484391,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005940859,"about_ca_topic_score_gemma":3.467327e-7,"domain_scores_codex":[0.997701,0.000628966,0.0003694019,0.000108627,0.000808862,0.0003831629],"domain_scores_gemma":[0.9940439,0.005193401,0.0001052323,0.0004592289,0.0000898564,0.0001083704],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000274554,0.0004731973,0.00836523,0.005882511,0.00008772359,7.541191e-7,0.002714958,7.119045e-8,0.01455429,0.958851,0.008722899,0.0003198766],"study_design_scores_gemma":[0.000287234,0.00004158823,0.01247493,0.0009816325,0.00004655392,0.00001417906,0.0008802931,0.00001399172,0.04586891,0.9390117,0.0002420501,0.000136933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9917304,0.0002842894,0.0008358628,0.003914333,0.00003396107,0.0003073404,0.000006804003,0.00001158745,0.002875416],"genre_scores_gemma":[0.9984701,0.00002299857,0.001034677,0.0001844316,0.00003128142,0.00001503468,3.175336e-7,0.00001233486,0.0002287692],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03131462,"threshold_uncertainty_score":0.8759679,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2153483484","doi":"10.4310/mrl.2005.v12.n6.a7","title":"On the isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one","year":2005,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"Engineering and Physical Sciences Research Council","keywords":"Zero (linguistics); Genus; Manifold (fluid mechanics); Multiplication (music); Interpretation (philosophy)","retraction":null,"screen_n_in":null,"score":{"opus":0.08866057304413116,"gpt":0.3452927911586728,"spread":0.2566322181145417,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00392412,0.0001303358,0.0002996509,0.000103124,0.0001868037,0.0000378691,0.0003340295,0.00006897958,0.0002980338],"category_scores_gemma":[0.004351463,0.00007317538,0.0001086016,0.0002320942,0.0006499465,0.00007508137,0.0001155747,0.000326155,0.00003288688],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003439803,"about_ca_system_score_gemma":0.00002363542,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006484587,"about_ca_topic_score_gemma":0.000001594032,"domain_scores_codex":[0.9982325,0.0002026159,0.0003625933,0.0001901755,0.0006668867,0.0003452648],"domain_scores_gemma":[0.9820277,0.01719669,0.0001314237,0.0004854214,0.00009956613,0.00005919432],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003790715,0.0002688194,0.00001091886,0.0006742266,0.000180319,5.071396e-7,0.001501794,0.00001432772,0.0362563,0.9495927,0.008632284,0.002488733],"study_design_scores_gemma":[0.0005417002,0.0002413996,0.0001219546,0.0001845636,0.00006130988,0.000004140689,0.0005275588,0.001028196,0.03713816,0.9595017,0.0005509233,0.00009840224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9196726,0.00007297094,0.0609738,0.01766692,0.00002440336,0.0008593708,0.000008878086,0.00001658586,0.0007044454],"genre_scores_gemma":[0.9961524,0.00001641681,0.002860851,0.0004315309,0.00006778677,0.00009445522,7.342529e-7,0.00002545072,0.0003503812],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07647976,"threshold_uncertainty_score":0.5209422,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1776823030","doi":"10.4310/mrl.2017.v24.n3.a11","title":"Towards generalized cohmology Schubert calculus via formal root polynomials","year":2017,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Formal group; Schubert calculus; Cohomology; Algebra over a field; Equivariant cohomology; Equivariant map; Torus; Schubert polynomial","retraction":null,"screen_n_in":null,"score":{"opus":0.1527789244888419,"gpt":0.4526209609350902,"spread":0.2998420364462483,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","sts","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.004781317,0.0005218001,0.001169066,0.000328098,0.001623257,0.0005757065,0.002508846,0.0003516195,0.002672365],"category_scores_gemma":[0.02617922,0.0004359132,0.0003421208,0.0002266952,0.001380309,0.0007478786,0.001710125,0.001189842,0.00125458],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000415594,"about_ca_system_score_gemma":0.0001821458,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006129588,"about_ca_topic_score_gemma":0.00002302935,"domain_scores_codex":[0.9932991,0.000596787,0.001119455,0.0007318773,0.002073052,0.002179686],"domain_scores_gemma":[0.991901,0.003609509,0.0004612755,0.002985623,0.0004301904,0.0006123362],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001382354,0.0004736111,0.00002080838,0.0005801526,0.0001596462,0.0002295238,0.0005072331,0.000002562777,0.01266296,0.9306895,0.05035963,0.004176113],"study_design_scores_gemma":[0.001604786,0.000168764,0.00006714172,0.0002439964,0.00004765734,0.0001006573,0.00005494573,0.001993573,0.008709691,0.9814984,0.004989711,0.0005206337],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5071338,0.00007997986,0.406405,0.02681154,0.001320632,0.003608191,0.0001202608,0.000691984,0.05382863],"genre_scores_gemma":[0.7765615,0.00001776466,0.2151754,0.0008234375,0.001511689,0.001149564,0.00002887191,0.0003953976,0.004336398],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2694277,"threshold_uncertainty_score":0.9998093,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2122181378","doi":"10.4310/mrl.2008.v15.n3.a17","title":"Local torsion on elliptic curves and the deformation theory of Galois representations","year":2008,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Galois module; Torsion (gastropod); Elliptic curve; Embedding problem; Galois group; Pure mathematics; Fundamental theorem of Galois theory; Differential Galois theory; Algebra over a field; Galois extension","retraction":null,"screen_n_in":null,"score":{"opus":0.09660342160432388,"gpt":0.3634749149802282,"spread":0.2668714933759043,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005903588,0.0001328282,0.000303456,0.0001739856,0.0003595011,0.0000188862,0.0002852568,0.0000609323,0.0003503942],"category_scores_gemma":[0.006648419,0.0000785679,0.0001047946,0.0003999165,0.002200207,0.0001398345,0.0001452979,0.000435782,0.0001464781],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004402702,"about_ca_system_score_gemma":0.00002637332,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006280177,"about_ca_topic_score_gemma":3.938085e-7,"domain_scores_codex":[0.9967532,0.001203591,0.0004523796,0.0002029864,0.001047096,0.0003407791],"domain_scores_gemma":[0.9877286,0.01140406,0.0001003187,0.0005320802,0.000131901,0.0001030232],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002747855,0.0001608842,0.00002373208,0.0006925185,0.0000467087,0.000008990901,0.002815461,0.000004854037,0.0005269207,0.9870051,0.007897948,0.0005421194],"study_design_scores_gemma":[0.0008379224,0.0000815835,0.0003383689,0.0004840726,0.00003025251,0.00006809866,0.001472041,0.0008377376,0.005956265,0.9897225,0.00006201247,0.0001090834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8885537,0.0002078201,0.09063733,0.008737043,0.00003634236,0.000887982,0.000004550239,0.00005290808,0.01088237],"genre_scores_gemma":[0.9970768,0.0001814329,0.00140777,0.0006208172,0.00003617522,0.00007151652,0.000003252309,0.00001969687,0.0005825274],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1085232,"threshold_uncertainty_score":0.8106756,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1939905638","doi":"10.4310/mrl.2017.v24.n6.a3","title":"Finite ramification for preimage fields of post-critically finite morphisms","year":2017,"lang":"en","type":"preprint","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"","keywords":"Mathematics; Endomorphism; Algebraically closed field; Morphism; Ramification; Iterated function; Variety (cybernetics); Pure mathematics; Conjecture; Combinatorics; Zero (linguistics); Discrete mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.1462823121589755,"gpt":0.4150620400288108,"spread":0.2687797278698353,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.007270419,0.0004568812,0.001051067,0.0004939704,0.0003819207,0.0002779479,0.001957661,0.0006907737,0.0006755806],"category_scores_gemma":[0.07907848,0.0004102289,0.0005647555,0.0001638095,0.001192025,0.0001556767,0.001360808,0.001999132,0.0001955191],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001068589,"about_ca_system_score_gemma":0.0002311656,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001364745,"about_ca_topic_score_gemma":0.000002132311,"domain_scores_codex":[0.9948832,0.0005931208,0.001137964,0.000820028,0.001545803,0.001019881],"domain_scores_gemma":[0.9713227,0.02393264,0.0004365788,0.002603497,0.001411828,0.0002927654],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0006690696,0.001448566,0.0000185892,0.02411986,0.0006003716,0.00007304447,0.003056405,0.0001099376,0.009881334,0.9284294,0.02783653,0.003756898],"study_design_scores_gemma":[0.0005309646,0.000175216,0.00003182386,0.001227473,0.0001177785,0.000005014795,0.0001740159,0.005041847,0.005785744,0.9859682,0.0005447553,0.0003972199],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.100098,0.0001016929,0.8539205,0.03101303,0.0003861109,0.003949592,0.0004450274,0.0001713056,0.009914742],"genre_scores_gemma":[0.8971586,0.00004247703,0.09603195,0.0008743809,0.0005419972,0.001266873,0.0001787001,0.0001811992,0.003723867],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7970606,"threshold_uncertainty_score":0.999835,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2032516486","doi":"10.4310/mrl.2005.v12.n2.a7","title":"The Existence of Horizons in an Asymptotically Flat 3-Manifold","year":2005,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Manifold (fluid mechanics); Pure mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.1222678020389463,"gpt":0.4085652760204105,"spread":0.2862974739814642,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006063229,0.0001677506,0.0004070132,0.0003579823,0.0001953655,0.0001573576,0.0008971238,0.0001077551,0.0002680583],"category_scores_gemma":[0.006746885,0.0001036968,0.000154047,0.001434495,0.0003686759,0.0002101284,0.0001918633,0.0007341324,0.0001740078],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001106509,"about_ca_system_score_gemma":0.00005259918,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008914435,"about_ca_topic_score_gemma":0.0001349528,"domain_scores_codex":[0.9959996,0.0004791313,0.0007339736,0.0003268515,0.001666454,0.0007940239],"domain_scores_gemma":[0.9928714,0.005681033,0.00009230752,0.0008928754,0.0002508474,0.0002115419],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003838988,0.0004575946,0.0003567493,0.0001457418,0.00005368775,0.00002182558,0.0007502243,0.00001521514,0.007348777,0.9800296,0.005083638,0.005698525],"study_design_scores_gemma":[0.001221643,0.0006295565,0.0028431,0.000460752,0.00009495645,0.00002464636,0.002703005,0.02649244,0.004822174,0.9516934,0.008318227,0.0006961761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9667035,0.0001027102,0.00770408,0.01568192,0.00002823493,0.000489916,0.00000272635,0.00003960422,0.009247249],"genre_scores_gemma":[0.9806414,0.00002114033,0.01843737,0.0001650067,0.0001253614,0.00005371443,0.000001315536,0.00002773113,0.0005270148],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0283363,"threshold_uncertainty_score":0.8077139,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962858493","doi":"10.4310/mrl.2014.v21.n2.a14","title":"The p-adic Shintani cocycle","year":2014,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Corollary; Pure mathematics; Interpretation (philosophy); Algebra over a field; Linguistics","retraction":null,"screen_n_in":null,"score":{"opus":0.08659770556475743,"gpt":0.3876433719968372,"spread":0.3010456664320798,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.01044729,0.0001757809,0.0002671753,0.0001099427,0.0008399484,0.0002214107,0.0008743913,0.00008676065,0.0007012179],"category_scores_gemma":[0.01480656,0.0001064249,0.0001311534,0.0004571509,0.0008703733,0.000105436,0.0002872486,0.0007770076,0.002345591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008346696,"about_ca_system_score_gemma":0.00002377274,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004002165,"about_ca_topic_score_gemma":0.000002636825,"domain_scores_codex":[0.9960465,0.0009712974,0.0004053653,0.0003063272,0.001315941,0.0009545353],"domain_scores_gemma":[0.9815781,0.01706177,0.00006181597,0.0009364443,0.0001145813,0.0002472861],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002676999,0.00008067141,0.00001342255,0.0001056202,0.00003216026,0.000008152525,0.0003488799,3.965466e-7,0.002374853,0.950455,0.04343021,0.003123867],"study_design_scores_gemma":[0.0002310789,0.00005388281,0.00008577658,0.00005974499,0.00000977848,0.00001988485,0.000335799,0.000515489,0.001509696,0.9742103,0.02282824,0.0001403226],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8179954,0.00006474192,0.05784697,0.02702022,0.0002110553,0.0007863559,0.000002744636,0.0002690153,0.09580346],"genre_scores_gemma":[0.9918455,0.000009472372,0.003497211,0.0009308892,0.000291823,0.00009459014,0.000001103397,0.00005295728,0.003276486],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.17385,"threshold_uncertainty_score":0.9984312,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2169858149","doi":"10.4310/mrl.2005.v12.n3.a6","title":"Jordan decomposition of bilinear forms","year":2005,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Wilfrid Laurier University; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Bilinear interpolation; Decomposition; Pure mathematics; Statistics; Chemistry","retraction":null,"screen_n_in":null,"score":{"opus":0.1124723595668003,"gpt":0.45679264168335,"spread":0.3443202821165496,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001797188,0.0001444463,0.0003128636,0.0002317712,0.0001126831,0.00003305176,0.000419729,0.00007935539,0.0005425332],"category_scores_gemma":[0.002670523,0.0001144836,0.0001152869,0.0003408219,0.0003774293,0.0002002848,0.0001891206,0.0004829086,0.0003345077],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001534258,"about_ca_system_score_gemma":0.000029786,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001209469,"about_ca_topic_score_gemma":0.000003270859,"domain_scores_codex":[0.9973928,0.000147683,0.0005466073,0.0002544434,0.001095221,0.0005631835],"domain_scores_gemma":[0.9965732,0.002394441,0.0000901314,0.0006208715,0.000168358,0.000152972],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000235776,0.0002961329,0.00001757849,0.0003323546,0.00002612027,0.000008130021,0.0003740534,0.000008681994,0.02879521,0.9634362,0.003195076,0.003486912],"study_design_scores_gemma":[0.0003244901,0.00006797633,0.00002004707,0.0001282244,0.000008462574,0.00001310701,0.0000838425,0.001168561,0.05177402,0.9446463,0.001640076,0.0001248644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8860531,0.00002002379,0.09583186,0.008274851,0.00002564227,0.0004980354,0.000004822051,0.00008154765,0.009210112],"genre_scores_gemma":[0.6508523,0.000006516161,0.3481838,0.0002744113,0.0001857939,0.00005295968,0.00000302813,0.00004529006,0.000395916],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2523519,"threshold_uncertainty_score":0.5940357,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4407302360","doi":"10.4310/mrl.250211003545","title":"Flows of $G_2$-structures associated to Calabi-Yau manifolds","year":2024,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Calabi–Yau manifold; Mathematics; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.149845198925876,"gpt":0.422097020098665,"spread":0.2722518211727889,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.003265499,0.0002695348,0.0005604401,0.0006953601,0.0001494178,0.0002222666,0.0007307128,0.0001634631,0.002303525],"category_scores_gemma":[0.005548728,0.0002144242,0.0002424981,0.001576367,0.0001696712,0.000117998,0.0003977487,0.0006957117,0.0008798057],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001869783,"about_ca_system_score_gemma":0.00007761134,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002900679,"about_ca_topic_score_gemma":0.00001808437,"domain_scores_codex":[0.9956743,0.0003809911,0.0006877044,0.000497584,0.001819609,0.0009398687],"domain_scores_gemma":[0.9949755,0.003724075,0.00004996239,0.0007043797,0.0002151776,0.000330898],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004376971,0.0003228285,0.00004135534,0.002330421,0.0002988451,0.000261846,0.001814765,0.00002515422,0.06749768,0.8084538,0.1169962,0.00191338],"study_design_scores_gemma":[0.0002579251,0.0002497064,0.0003653645,0.0008508612,0.00005846017,0.00002955524,0.0003025178,0.004210604,0.007083227,0.9800186,0.00620803,0.0003651569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9334723,0.0001391372,0.03634804,0.01114846,0.0002533896,0.001036329,0.00004767103,0.0003815983,0.01717304],"genre_scores_gemma":[0.9792835,0.000004096897,0.01713565,0.0003888085,0.0001771868,0.0001009756,0.000005435942,0.00008385172,0.002820535],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1715648,"threshold_uncertainty_score":0.9998981,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2989761214","doi":"10.4310/mrl.2021.v28.n5.a2","title":"Explicit fundamental gap estimates for some convex domains in $\\mathbb{H}^2$","year":2021,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Regular polygon; Pure mathematics; Combinatorics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.2833044867805375,"gpt":0.4743028485608285,"spread":0.190998361780291,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001792325,0.0002507098,0.000555667,0.0002834126,0.0002314931,0.0002305938,0.0003836385,0.000105833,0.0009029281],"category_scores_gemma":[0.008260129,0.0002330371,0.0002023837,0.0004921144,0.0002622355,0.0002252665,0.0002896425,0.0005115386,0.000462242],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002630644,"about_ca_system_score_gemma":0.0001481097,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001033984,"about_ca_topic_score_gemma":0.00003849616,"domain_scores_codex":[0.9963266,0.0003114032,0.0007029792,0.0005144884,0.001077263,0.001067305],"domain_scores_gemma":[0.9919061,0.006936219,0.00007448243,0.000629613,0.0001877946,0.0002657764],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005256904,0.0009840068,0.0001227116,0.0007923908,0.00007723758,0.0001323704,0.0009228649,0.000005608544,0.1135071,0.8769462,0.006111015,0.0003458997],"study_design_scores_gemma":[0.00125982,0.00007790065,0.0001254904,0.0002682716,0.0000300708,0.00002069868,0.000481146,0.009852129,0.03437538,0.9527661,0.0004679697,0.000275091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8947683,0.00007843882,0.08824068,0.01329297,0.0001354028,0.001663215,0.00008231401,0.0001468665,0.001591807],"genre_scores_gemma":[0.8573334,0.00001297621,0.1385233,0.001056292,0.0004325704,0.001307607,0.0001019815,0.0001611032,0.001070776],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07913177,"threshold_uncertainty_score":0.9888743,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4386705567","doi":"10.4310/mrl.2023.v30.n2.a7","title":"On the distribution of multiplicatively dependent vectors","year":2023,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Basic and Applied Basic Research Foundation of Guangdong Province; Macquarie University","keywords":"Mathematics; Distribution (mathematics); Pure mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.2288146839171075,"gpt":0.4320053537581006,"spread":0.2031906698409931,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00449808,0.0001613838,0.000277606,0.0001711602,0.0002252902,0.00006196943,0.0004726574,0.00007778756,0.0007013311],"category_scores_gemma":[0.01966091,0.00009166941,0.0001318535,0.0009565388,0.0003879511,0.00007230377,0.0001391834,0.0004822738,0.001591492],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001059102,"about_ca_system_score_gemma":0.00002689552,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003653858,"about_ca_topic_score_gemma":0.000001024484,"domain_scores_codex":[0.9966634,0.0004750861,0.0005477067,0.0002653427,0.00157563,0.0004728391],"domain_scores_gemma":[0.9869938,0.01193406,0.0001172652,0.0006062771,0.0002369163,0.0001117206],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002028896,0.0001969949,0.000004195051,0.0002114262,0.00002308119,0.000002260254,0.0005776615,0.000004385833,0.005123034,0.9509249,0.04261896,0.0002928394],"study_design_scores_gemma":[0.0001842138,0.0000765643,0.0001267826,0.0001799708,0.00000803592,0.000001808964,0.000476704,0.01818536,0.01804668,0.9623802,0.0002293026,0.0001043371],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8988317,0.000002194891,0.0729805,0.01955585,0.00003514691,0.001191041,0.00003590299,0.0001974091,0.007170251],"genre_scores_gemma":[0.9964684,0.00000410973,0.002049359,0.0002123868,0.00004019468,0.0003676903,0.00002512973,0.0000316632,0.0008011112],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09763665,"threshold_uncertainty_score":0.9991859,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2039289607","doi":"10.4310/mrl.2004.v11.n1.a5","title":"Relations in the quantum cohomology ring of $G/B$","year":2004,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Cohomology ring; Ring (chemistry); Quantum cohomology; Ideal (ethics); Flag (linear algebra); Quantum; Pure mathematics; Product (mathematics); Cohomology; Combinatorics; Discrete mathematics; Algebra over a field; Equivariant cohomology; Geometry; Quantum mechanics; Physics; Chemistry","retraction":null,"screen_n_in":null,"score":{"opus":0.1299069949879112,"gpt":0.4079498923006243,"spread":0.2780428973127131,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002255173,0.00009910549,0.0002396548,0.000167245,0.0001100854,0.00002744436,0.0004945557,0.0000818456,0.0001127728],"category_scores_gemma":[0.002831346,0.00006421716,0.00007608944,0.0004489412,0.0003426853,0.00006086202,0.0001058486,0.0005723722,0.00004761907],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009268335,"about_ca_system_score_gemma":0.00005639738,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004519796,"about_ca_topic_score_gemma":0.000009163008,"domain_scores_codex":[0.9979073,0.0003099321,0.0003972256,0.0001739341,0.0007945036,0.0004171222],"domain_scores_gemma":[0.9963132,0.003068381,0.00005764585,0.0004426735,0.00006734578,0.00005074538],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001080042,0.0001161041,0.00005941604,0.00007217578,0.00001109257,0.00001913644,0.002154866,0.00003730695,0.0008483304,0.9962594,0.0003799956,0.00003139725],"study_design_scores_gemma":[0.0004433426,0.00005353821,0.0003575477,0.00008414755,0.000006306402,0.00001500635,0.0004654979,0.0001294258,0.0003964755,0.9979485,0.0000363216,0.00006383434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9780949,0.00001937664,0.00817605,0.009927767,0.00005661611,0.0003958384,8.920522e-7,0.00001829758,0.003310214],"genre_scores_gemma":[0.9971648,0.000002041275,0.00252042,0.0001665455,0.00004928776,0.00005588391,5.97181e-7,0.00001521544,0.00002513946],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01906992,"threshold_uncertainty_score":0.338959,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2056452363","doi":"10.4310/mrl.2006.v13.n4.a11","title":"Evidence for the Gromov-Witten/Donaldson-Thomas correspondence","year":2006,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Equivariant map; Mathematics; Order (exchange); Pure mathematics; Algebra over a field","retraction":null,"screen_n_in":null,"score":{"opus":0.2599283471769461,"gpt":0.4357984346545558,"spread":0.1758700874776096,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.009858311,0.0002628012,0.0003653032,0.000197975,0.0007100397,0.0002279768,0.001208953,0.0001228054,0.0008960375],"category_scores_gemma":[0.01734863,0.0001681313,0.0002526234,0.0007436647,0.0009289744,0.0002449572,0.0003016657,0.0007001064,0.0006414415],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000129246,"about_ca_system_score_gemma":0.00008172475,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002344792,"about_ca_topic_score_gemma":0.000007803918,"domain_scores_codex":[0.9955302,0.0005891402,0.0005703523,0.0004991196,0.001707954,0.001103178],"domain_scores_gemma":[0.9409375,0.05758565,0.0001055557,0.0009602732,0.0002562613,0.0001547417],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002361144,0.0002100217,0.00008370609,0.0004724689,0.00004996231,0.00003850355,0.0003123939,0.000006453973,0.0101973,0.7614244,0.2261653,0.0008033558],"study_design_scores_gemma":[0.000368667,0.00009101387,0.0003639177,0.0004101657,0.00004586421,0.00004820993,0.0002953458,0.001266953,0.004380993,0.9859347,0.006550504,0.0002436807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4334596,0.0009205107,0.4898987,0.06376539,0.0003304784,0.00336083,0.00002086765,0.0003022524,0.007941387],"genre_scores_gemma":[0.9460713,0.00003201685,0.02771103,0.001739891,0.00108281,0.001138383,0.000005308512,0.000125476,0.02209381],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5126117,"threshold_uncertainty_score":0.9909286,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2942226904","doi":"10.4310/mrl.2022.v29.n5.a1","title":"Existence and uniqueness of stationary solutions in $5$-dimensional minimal supergravity","year":2022,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Uniqueness; Gravitational singularity; Mathematics; Supergravity; Orbifold; Conical surface; Mathematical analysis; Axial symmetry; Symmetry (geometry); Boundary (topology); Topology (electrical circuits); Mathematical physics; Supersymmetry; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.05201287518378279,"gpt":0.3329472806423855,"spread":0.2809344054586028,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009563295,0.00006449372,0.0001394425,0.00008014734,0.0001806958,0.00001297828,0.0001385264,0.00001023615,0.0005566834],"category_scores_gemma":[0.00003380619,0.00006055368,0.0000372953,0.0002617403,0.0004628688,0.00005325814,0.000358114,0.0003486681,0.00000733651],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003137419,"about_ca_system_score_gemma":0.00005125382,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006667364,"about_ca_topic_score_gemma":5.931469e-7,"domain_scores_codex":[0.9985874,0.0002771878,0.000187156,0.0001643545,0.0004881674,0.0002957026],"domain_scores_gemma":[0.9990119,0.0007044801,0.00002066543,0.0001417013,0.00004808661,0.0000731769],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002332244,0.0002707329,0.0007868163,0.00003112799,0.000008504967,0.000004007239,0.000236864,0.00006703552,0.003010158,0.9947532,0.0002498165,0.0005583578],"study_design_scores_gemma":[0.0002214335,0.00005232734,0.001670849,0.00002003417,0.000002858026,0.000001105768,0.0005791616,0.002968136,0.0004940016,0.9938424,0.0000780404,0.00006964695],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9926144,0.00001104855,0.00213092,0.002565049,0.000009704861,0.0001625174,0.00005618744,0.000004570672,0.002445614],"genre_scores_gemma":[0.9984755,2.814741e-7,0.001304128,0.00006623733,0.00001806812,0.00006578667,0.00001545714,0.000007987715,0.00004653952],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005861126,"threshold_uncertainty_score":0.6095293,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2513146802","doi":"10.4310/mrl.2018.v25.n1.a1","title":"Relative K-stability and extremal Sasaki metrics","year":2018,"lang":"en","type":"preprint","venue":"Mathematical Research Letters","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Université du Québec à Montréal","keywords":"Mathematics; Automorphism; Torus; Invariant (physics); Pure mathematics; Cone (formal languages); Manifold (fluid mechanics); Homogeneous; Mathematical analysis; Combinatorics; Geometry; Mathematical physics","retraction":null,"screen_n_in":null,"score":{"opus":0.3557115314068344,"gpt":0.4404863751166266,"spread":0.08477484370979216,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.009595105,0.0005520042,0.001070121,0.0008658487,0.0004005872,0.0004138026,0.001055593,0.0005686506,0.002386001],"category_scores_gemma":[0.02133605,0.0004672066,0.0002996123,0.0009819973,0.001500012,0.0001725324,0.004042448,0.003006435,0.0004695949],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003330804,"about_ca_system_score_gemma":0.0001448709,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001844481,"about_ca_topic_score_gemma":0.000007805856,"domain_scores_codex":[0.9928549,0.001315312,0.0009757695,0.001219732,0.002401548,0.001232732],"domain_scores_gemma":[0.986106,0.01078057,0.000243588,0.001790928,0.0005926493,0.0004862414],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002136248,0.001567683,0.001011922,0.01240819,0.0007605853,0.0002569678,0.00565734,0.000001745474,0.002221729,0.9129322,0.06124352,0.001724541],"study_design_scores_gemma":[0.0002877571,0.0001379177,0.0002819473,0.0005824473,0.00008220314,0.00002094092,0.0002951446,0.001703333,0.0008743392,0.9943898,0.0008705485,0.0004736709],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8656759,0.0002613796,0.0949442,0.007525602,0.0002360287,0.002033306,0.00005973537,0.0002754202,0.02898844],"genre_scores_gemma":[0.8670705,0.00004956416,0.1301247,0.0003416679,0.0006402091,0.0003608539,0.0000160757,0.0001545288,0.001241844],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0814576,"threshold_uncertainty_score":0.999778,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3083803714","doi":"10.4310/mrl.2022.v29.n5.a5","title":"On quaternionic rigid meromorphic cocyles","year":2022,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Deutsche Forschungsgemeinschaft; McGill University","keywords":"Mathematics; Meromorphic function; Pure mathematics; Algebra over a field","retraction":null,"screen_n_in":null,"score":{"opus":0.1339066648289584,"gpt":0.3936334274237454,"spread":0.259726762594787,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.006430985,0.0002173259,0.0003649236,0.0003964733,0.0008894296,0.00008316131,0.0008335614,0.00005439254,0.01336243],"category_scores_gemma":[0.00323304,0.0001863606,0.0001638085,0.000708622,0.0004006562,0.00007658439,0.0006030865,0.001379526,0.002113859],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002778226,"about_ca_system_score_gemma":0.00005874074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007172256,"about_ca_topic_score_gemma":6.875651e-7,"domain_scores_codex":[0.9944656,0.001420547,0.0004298543,0.0004509039,0.002337418,0.0008956548],"domain_scores_gemma":[0.9912702,0.007542979,0.00007946226,0.0008123967,0.00006544994,0.0002295095],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001218416,0.0005604465,0.00001425628,0.0001728726,0.00006321772,0.0001535305,0.0006975773,0.00002263592,0.002160718,0.9382601,0.05742946,0.0003433428],"study_design_scores_gemma":[0.0004595239,0.0002753733,0.00001887397,0.00005358989,0.00001284615,0.00006348423,0.0005971291,0.0002817438,0.001279477,0.9931613,0.003574752,0.0002219208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9734519,0.00002405059,0.002897892,0.01001497,0.000125189,0.0005520315,0.00001761367,0.0001638419,0.01275258],"genre_scores_gemma":[0.9938612,0.000002533391,0.001227648,0.001341152,0.00009268242,0.0003531874,0.000008627778,0.00006408458,0.003048868],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05490118,"threshold_uncertainty_score":0.9986631,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3000860744","doi":"10.4310/mrl.2022.v29.n4.a9","title":"Flat conical Laplacian in the square of the canonical bundle and its regularized determinants","year":2022,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Canonical bundle; Line bundle; Laplace operator; Omega; Riemann surface; Holomorphic function; Pure mathematics; Square-integrable function; Mathematical analysis; Combinatorics; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.0959742773200124,"gpt":0.3772351074043293,"spread":0.2812608300843168,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008013301,0.0001503768,0.0003711478,0.0001255923,0.0004722525,0.00004530365,0.001021759,0.0000738548,0.0006814525],"category_scores_gemma":[0.004254,0.00008747796,0.0001042343,0.0006831861,0.0005896032,0.00006096973,0.0009105438,0.001224664,0.00002057907],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009578227,"about_ca_system_score_gemma":0.00009636529,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001388033,"about_ca_topic_score_gemma":0.00001984362,"domain_scores_codex":[0.9946373,0.002417838,0.0005114137,0.0002879405,0.00155127,0.0005942053],"domain_scores_gemma":[0.9921501,0.006938465,0.00009333881,0.0006788571,0.00004517777,0.00009408005],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003307812,0.000983302,0.001312404,0.0009532261,0.00006408832,0.0001470859,0.006909688,0.000004285885,0.01021623,0.9701421,0.008503704,0.0004331078],"study_design_scores_gemma":[0.001947812,0.0003921752,0.002066689,0.0002108197,0.00005213364,0.0003564151,0.005795826,0.001825685,0.004234146,0.9800528,0.002717427,0.0003480926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9879434,0.00005206467,0.00004982256,0.009871193,0.00003804742,0.0007729468,0.00001731974,0.00001406514,0.001241148],"genre_scores_gemma":[0.9985496,0.000002902621,0.000244985,0.0006181404,0.00003107171,0.0001703838,0.000001545041,0.00002244991,0.0003588805],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01060625,"threshold_uncertainty_score":0.7461427,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3198214614","doi":"10.4310/mrl.2023.v30.n5.a3","title":"Deformations of log Calabi–Yau pairs can be obstructed","year":2023,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Calabi–Yau manifold; Divisor (algebraic geometry); Variety (cybernetics); Mathematics; Pure mathematics; Simple (philosophy); Projective variety; Geometry; Mathematical analysis; Philosophy; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.1391282280457141,"gpt":0.3876698968265776,"spread":0.2485416687808635,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003822576,0.0001944999,0.0004246288,0.0005912044,0.000262884,0.00004795914,0.0005707262,0.000132454,0.001103567],"category_scores_gemma":[0.008909159,0.0001599852,0.0001629197,0.00198441,0.0006902159,0.0001317696,0.0003193844,0.0006006842,0.0006035496],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000109909,"about_ca_system_score_gemma":0.0000800129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002019844,"about_ca_topic_score_gemma":0.000007708074,"domain_scores_codex":[0.9962991,0.0004575137,0.0006617295,0.0002766844,0.001414138,0.0008907605],"domain_scores_gemma":[0.9928864,0.005773809,0.0001081641,0.000740125,0.0002306939,0.0002607591],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004398593,0.0002635295,0.0002413803,0.001729049,0.0001683126,0.00007522264,0.005483372,0.00001659152,0.01459727,0.8951165,0.08122113,0.00104365],"study_design_scores_gemma":[0.0004215745,0.00006463339,0.0004523752,0.0001670376,0.00002629149,0.00002185262,0.002649213,0.0008321175,0.008788896,0.9856189,0.0007346972,0.0002223471],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9736581,0.00000644691,0.003865525,0.01359826,0.00007339771,0.0005385474,0.00005195265,0.0002821614,0.007925649],"genre_scores_gemma":[0.9933275,0.000006782448,0.00464403,0.0003198319,0.00007425287,0.0001072424,0.00003070046,0.00005398905,0.001435694],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09050246,"threshold_uncertainty_score":0.9998096,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3081426668","doi":"10.4310/mrl.2020.v27.n3.a1","title":"From automorphisms of Riemann surfaces to smooth $4$-manifolds","year":2020,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Automorphism; Pure mathematics; Riemann hypothesis; Riemann surface; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.1688853166923469,"gpt":0.3946962951811571,"spread":0.2258109784888102,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001366691,0.0002020431,0.00061403,0.0002660776,0.00009339551,0.00005025848,0.000765093,0.0001174371,0.00283217],"category_scores_gemma":[0.009189461,0.0001651794,0.0001325753,0.001202438,0.0003711697,0.0000743032,0.0004419055,0.0004598638,0.001343093],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005412217,"about_ca_system_score_gemma":0.00005766774,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008323539,"about_ca_topic_score_gemma":0.000003158721,"domain_scores_codex":[0.9966086,0.0003064011,0.0005953433,0.0004631889,0.001314489,0.0007120111],"domain_scores_gemma":[0.9940572,0.004652866,0.00009243608,0.0005215275,0.0001550732,0.0005208839],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001726624,0.0006770128,0.0004636895,0.001102679,0.0002937205,0.0002481633,0.01499955,0.00003982467,0.09255507,0.4761043,0.4107373,0.00260597],"study_design_scores_gemma":[0.0009014502,0.0005930745,0.0007763344,0.0001912138,0.00005306659,0.000004797142,0.001694061,0.001713212,0.01697476,0.9678805,0.008798003,0.000419464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8861696,0.00003181499,0.03389439,0.07678305,0.00005331775,0.0005328012,0.00003775881,0.0001163935,0.002380837],"genre_scores_gemma":[0.946179,0.000002851781,0.05125519,0.002016645,0.0002001773,0.00003708993,0.000004610321,0.00004635173,0.0002581136],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4917763,"threshold_uncertainty_score":0.9994345,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2014323959","doi":"10.4310/mrl.2002.v9.n3.a1","title":"On the minimal number of critical points of functions on $h$-cobordisms","year":2002,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Russian Foundation for Basic Research","keywords":"Mathematics; Cobordism; Torsion (gastropod); Zero (linguistics); Critical point (mathematics); Pure mathematics; Function (biology); Combinatorics; Mathematical analysis; Anatomy","retraction":null,"screen_n_in":null,"score":{"opus":0.1733960547434565,"gpt":0.4174563180568322,"spread":0.2440602633133757,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001876694,0.0001514652,0.0003768777,0.0002649808,0.0001403719,0.00001873085,0.0004208802,0.000101763,0.01419655],"category_scores_gemma":[0.02702609,0.00009343661,0.0001720048,0.0007117983,0.001370286,0.0000374532,0.0001262421,0.0006162449,0.001819552],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000395203,"about_ca_system_score_gemma":0.00001386746,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004004463,"about_ca_topic_score_gemma":3.59338e-7,"domain_scores_codex":[0.9969586,0.0004460054,0.000521914,0.0002509632,0.00126389,0.0005586101],"domain_scores_gemma":[0.9727363,0.02625704,0.00007078175,0.0006400696,0.0001647647,0.0001310641],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003190146,0.00102707,0.00003214943,0.0002117644,0.00003620131,0.0000117355,0.0003890355,5.42021e-7,0.0006024535,0.9126738,0.08469443,0.0002889348],"study_design_scores_gemma":[0.0003967769,0.0004322173,0.0001817027,0.0001814951,0.00002893466,0.00002161847,0.0007003872,0.0004546146,0.002632426,0.9944779,0.0003525014,0.0001393906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8773755,0.000008486701,0.004223379,0.06100849,0.00007538481,0.0003643821,0.00001900329,0.00002987056,0.05689553],"genre_scores_gemma":[0.9953997,0.000001744408,0.002566589,0.0006415799,0.00005575273,0.00004580884,5.906701e-7,0.00002529298,0.001263008],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1180242,"threshold_uncertainty_score":0.9989576,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4389072477","doi":"10.4310/mrl.251215003006","title":"A special class of $k$-harmonic maps inducing calibrated fibrations","year":2025,"lang":"en","type":"preprint","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Conformal map; Mathematics; Submanifold; Conjecture; Harmonic map; Class (philosophy); Type (biology); Harmonic; Holonomy; Mathematical analysis; Pure mathematics; Mathematical physics; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.157595411467279,"gpt":0.4059819617836282,"spread":0.2483865503163491,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00383796,0.0004418278,0.001306762,0.001676079,0.000210897,0.0003039925,0.001247374,0.0006151167,0.002430428],"category_scores_gemma":[0.009101998,0.0003747545,0.0006008412,0.002604201,0.0004078851,0.00009234779,0.001782725,0.00303341,0.00007597552],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002831473,"about_ca_system_score_gemma":0.0005885337,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005335671,"about_ca_topic_score_gemma":0.00002851574,"domain_scores_codex":[0.9938038,0.0008658016,0.001384493,0.0007934154,0.002264403,0.0008880851],"domain_scores_gemma":[0.9924534,0.004782184,0.0003692013,0.001531704,0.0006107936,0.0002527224],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000613002,0.0007904494,0.00006398952,0.005495683,0.0009432564,0.00005662824,0.001626878,0.000175035,0.002055842,0.3278077,0.6596504,0.001272892],"study_design_scores_gemma":[0.0007750837,0.00008677179,0.00008651953,0.002775468,0.0004594245,0.000005595407,0.0008074293,0.008347304,0.002842993,0.9679123,0.01514038,0.0007607369],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6254685,0.0004189591,0.1211802,0.04625757,0.001897226,0.006667814,0.001548083,0.0004167619,0.1961449],"genre_scores_gemma":[0.752717,0.0003272986,0.1948331,0.002248279,0.01428218,0.001966141,0.001072714,0.0005103467,0.032043],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.64451,"threshold_uncertainty_score":0.9998704,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3203951986","doi":"10.4310/mrl.2022.v29.n5.a3","title":"A note on blowup limits in 3d Ricci flow","year":2022,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Gravitational singularity; Ricci flow; Mathematics; Limit (mathematics); Flow (mathematics); Pure mathematics; Mathematical analysis; Ricci curvature; Geometry; Curvature","retraction":null,"screen_n_in":null,"score":{"opus":0.1237039346110974,"gpt":0.3978674290943311,"spread":0.2741634944832337,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.005868793,0.0002281707,0.0005196739,0.001229541,0.0003708893,0.0001175358,0.0007479665,0.0000793764,0.005134905],"category_scores_gemma":[0.006348032,0.0001900024,0.0002096796,0.003233346,0.0001230955,0.0000844304,0.0003946148,0.001820729,0.0006441127],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000416189,"about_ca_system_score_gemma":0.0000633291,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001462823,"about_ca_topic_score_gemma":0.00001334053,"domain_scores_codex":[0.9941852,0.0008419529,0.0005727282,0.000524444,0.002880624,0.0009950182],"domain_scores_gemma":[0.9939553,0.004870999,0.00007746254,0.0007934868,0.00008920021,0.0002135327],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0005864794,0.008901066,0.0006735102,0.001212939,0.0004028576,0.00225649,0.009089625,0.004168532,0.008358901,0.3250188,0.5987616,0.04056916],"study_design_scores_gemma":[0.004886353,0.001683403,0.00140437,0.0005077737,0.0001654351,0.0001073489,0.003065096,0.2079744,0.00107387,0.6906574,0.08650746,0.001967122],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9017397,0.0001005768,0.01907325,0.03508075,0.0002073483,0.001625046,0.00003312031,0.0001902596,0.04194992],"genre_scores_gemma":[0.9651783,0.000009504683,0.027668,0.002483458,0.0001910111,0.0006438771,0.00001353326,0.00009147969,0.003720838],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5122541,"threshold_uncertainty_score":0.9957745,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4287824594","doi":"10.4310/mrl.2021.v28.n5.a1","title":"The topological period-index conjecture","year":2021,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Conjecture; Index (typography); Period (music); Dimension (graph theory); Set (abstract data type); Topology (electrical circuits); Topological index; Pure mathematics; Combinatorics; Computer science; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.1379159249671289,"gpt":0.4405583265067339,"spread":0.302642401539605,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002114413,0.0001932358,0.0003110239,0.00005624429,0.0007574203,0.000279573,0.0006685207,0.0001459831,0.001250531],"category_scores_gemma":[0.01785503,0.0001175417,0.0001545793,0.0004295669,0.001024455,0.00007438994,0.0005337828,0.001292927,0.0004028724],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001520281,"about_ca_system_score_gemma":0.0001036229,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.412219e-7,"about_ca_topic_score_gemma":0.000007708253,"domain_scores_codex":[0.9961872,0.0006284206,0.0004135411,0.0004194749,0.001384081,0.0009672939],"domain_scores_gemma":[0.9898268,0.00863886,0.00005316074,0.001037711,0.0002332576,0.0002101822],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001304831,0.00009118482,0.00003529258,0.00008242871,0.00003533918,0.0003752218,0.0002859439,0.000001046126,0.002299556,0.9823263,0.0132119,0.001242755],"study_design_scores_gemma":[0.0002310883,0.00003058594,0.0000501581,0.00004725648,0.000006723199,0.0001389005,0.0006153275,0.0001795734,0.002595779,0.9765174,0.0194421,0.0001450493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5411198,0.0004836005,0.1569775,0.2513554,0.0004368651,0.001126551,0.000009043862,0.0003873647,0.04810384],"genre_scores_gemma":[0.9226425,0.00006644785,0.06129539,0.002616731,0.0007479727,0.0002830854,0.000004351081,0.0001114847,0.01223208],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3815226,"threshold_uncertainty_score":0.9996625,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2982047981","doi":"10.4310/mrl.2019.v26.n4.a1","title":"Bounding periods of subvarieties of $(\\mathbb{P}^1)^n$","year":2019,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia; University of Waterloo","funders":"","keywords":"Mathematics; Bounding overwatch; Pure mathematics; Combinatorics; Artificial intelligence; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.1291423783119924,"gpt":0.4267174018931046,"spread":0.2975750235811122,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.004460693,0.0002289847,0.000894168,0.0003590126,0.00008241263,0.00006346982,0.0006544811,0.0001467253,0.002375648],"category_scores_gemma":[0.004426414,0.0001803943,0.0002703536,0.0005330873,0.0007058077,0.0001482324,0.0003297264,0.0005257629,0.0002606967],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007165031,"about_ca_system_score_gemma":0.00007170068,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001132756,"about_ca_topic_score_gemma":0.000001309561,"domain_scores_codex":[0.9958331,0.0002773434,0.001043824,0.0003315737,0.001807539,0.0007066099],"domain_scores_gemma":[0.9927675,0.005543307,0.0002572545,0.000928863,0.0003260912,0.0001769527],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003793642,0.0003625645,0.0002718394,0.004124301,0.00007298366,0.000006073164,0.001819852,0.0000023686,0.08388811,0.9081461,0.001055678,0.0002121777],"study_design_scores_gemma":[0.0004406773,0.0001986239,0.0001546607,0.0007002793,0.00002760631,0.00001145095,0.0007251974,0.005852782,0.00938939,0.9820009,0.0002656677,0.0002327958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9507863,0.00002486253,0.01830827,0.001009602,0.00006586353,0.0007244034,0.00001529651,0.00004211155,0.02902332],"genre_scores_gemma":[0.9686687,0.000008695548,0.02999103,0.00005160055,0.00003387079,0.00003554932,0.000002540281,0.00005638761,0.001151638],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07449872,"threshold_uncertainty_score":0.9985363,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4405290144","doi":"10.4310/mrl.241211041444","title":"The de Rham stack and the variety of very good splittings of a curve","year":2024,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Stack (abstract data type); Variety (cybernetics); Statistics; Programming language; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.01894115971693598,"gpt":0.3267140096531708,"spread":0.3077728499362348,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002540365,0.0000798086,0.0002082231,0.00005807134,0.00006095256,0.00005628249,0.0002540394,0.00003360007,0.00001925255],"category_scores_gemma":[0.001088574,0.00004042875,0.0000912101,0.0004069789,0.0008551786,0.00005583121,0.0001242182,0.0004154998,0.000007534705],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004516272,"about_ca_system_score_gemma":0.00001179749,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001110387,"about_ca_topic_score_gemma":9.591662e-7,"domain_scores_codex":[0.9987306,0.0001429799,0.0002715101,0.0001090263,0.0004532871,0.0002926072],"domain_scores_gemma":[0.994823,0.004790151,0.00001703432,0.0002731953,0.00004518826,0.0000514081],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001307909,0.00009640975,0.0001036482,0.004316479,0.0007546965,0.00003207457,0.005434248,0.0008444015,0.1229318,0.8189573,0.01035015,0.03604801],"study_design_scores_gemma":[0.000320871,0.00007970642,0.0001326617,0.0004818623,0.0000665643,0.00001211751,0.0005542754,0.4659815,0.03802543,0.4877839,0.006376497,0.0001846148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2106856,0.002248118,0.7681447,0.01305463,0.00002734659,0.0006248725,0.000007715771,0.0002827029,0.004924238],"genre_scores_gemma":[0.9911148,0.0002788894,0.008378709,0.00005581317,0.00002429456,0.00005601626,3.953414e-7,0.00002300561,0.00006810508],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7804291,"threshold_uncertainty_score":0.3150941,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4390962448","doi":"10.4310/mrl.260113175711","title":"On a conjecture of Mazur predicting the growth of Mordell-Weil ranks in $\mathbb{Z}_p$-extensions","year":2025,"lang":"en","type":"preprint","venue":"Mathematical Research Letters","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Prime (order theory); Mathematics; Elliptic curve; Field (mathematics); Combinatorics; Algebraic number field; Quadratic equation; Good reduction; Quadratic field; Pure mathematics; Discrete mathematics; Quadratic function; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.110623668881043,"gpt":0.4035958655705467,"spread":0.2929721966895037,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.01374096,0.0005126251,0.001394845,0.0009424362,0.0001794683,0.00005748111,0.001699497,0.0005873542,0.0004705249],"category_scores_gemma":[0.04130857,0.000350688,0.0004754819,0.001143626,0.001096846,0.00004969643,0.001862748,0.004135167,0.0000416552],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001651866,"about_ca_system_score_gemma":0.0002968274,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009553014,"about_ca_topic_score_gemma":0.00001679808,"domain_scores_codex":[0.9920949,0.002476446,0.001571686,0.0007448153,0.002176187,0.0009359579],"domain_scores_gemma":[0.9621619,0.0348977,0.0004515859,0.001888326,0.0004416899,0.0001588087],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004269353,0.001398803,0.0002249572,0.01717247,0.0004920507,0.00005823212,0.009057665,0.0002691317,0.00181944,0.9468573,0.02180701,0.0004159666],"study_design_scores_gemma":[0.0006266513,0.00009245247,0.00007696312,0.00561482,0.00009045788,0.000008599016,0.0007433771,0.001417364,0.001519077,0.9894772,0.00005882299,0.0002742796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9453176,0.0001608667,0.02731732,0.011869,0.00021775,0.002672151,0.0001559204,0.00009583259,0.01219351],"genre_scores_gemma":[0.9884109,0.00004987908,0.008975529,0.0007376886,0.000128042,0.0003380417,0.00002350983,0.00008315708,0.00125322],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04309328,"threshold_uncertainty_score":0.9998945,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2341171666","doi":"10.4310/mrl.2017.v24.n5.a2","title":"The orbit intersection problem for linear spaces and semiabelian varieties","year":2017,"lang":"en","type":"preprint","venue":"Mathematical Research Letters","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary; University of British Columbia","funders":"","keywords":"Mathematics; Endomorphism; Combinatorics; Root of unity; Eigenvalues and eigenvectors; Integer (computer science); Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.1760860341332399,"gpt":0.4549820572677807,"spread":0.2788960231345408,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","sts","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.004954841,0.0003792189,0.0005608365,0.0001789628,0.00135182,0.00104998,0.001199032,0.0003688914,0.00002705415],"category_scores_gemma":[0.01361921,0.0002576811,0.0001849932,0.00007808216,0.001465989,0.0001290882,0.002115533,0.002195889,0.00003501533],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000245932,"about_ca_system_score_gemma":0.0001228273,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000132517,"about_ca_topic_score_gemma":0.00003138895,"domain_scores_codex":[0.9964486,0.0002976984,0.0005819888,0.0006886287,0.001075032,0.000907994],"domain_scores_gemma":[0.9902042,0.00730403,0.000319969,0.001571288,0.0004098518,0.0001906983],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008928958,0.00009301047,0.000008475976,0.006407105,0.0002194293,0.00001014665,0.002770086,0.000005918527,0.0006686648,0.9631705,0.02285067,0.003706657],"study_design_scores_gemma":[0.0002475687,0.00007839197,0.000003274938,0.001085739,0.00004091211,0.0000100183,0.0004677946,0.002172173,0.0007148273,0.981932,0.01298183,0.0002654085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.149661,0.0008170316,0.6799185,0.1381415,0.00145229,0.01191357,0.0001084202,0.00059998,0.01738768],"genre_scores_gemma":[0.1377702,0.0007966912,0.8267457,0.0007138196,0.003066987,0.006722689,0.0000441382,0.0006022924,0.02353749],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1468272,"threshold_uncertainty_score":0.9999875,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4400729488","doi":"10.4310/mrl.2023.v30.n6.a2","title":"Fractal uncertainty principle for discrete Cantor sets with random alphabets","year":2023,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Fractal; Cantor function; Cantor set; Pure mathematics; Statistical physics; Discrete mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.1114964589270477,"gpt":0.4352999852957034,"spread":0.3238035263686557,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.005217572,0.0003891543,0.0008154458,0.0003574665,0.0004522002,0.0002526892,0.0006703626,0.0001641641,0.0004233749],"category_scores_gemma":[0.01289031,0.0002605116,0.0002627519,0.0008570979,0.0005134851,0.0001860271,0.0003035108,0.0006355866,0.0004867206],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001729259,"about_ca_system_score_gemma":0.0001175629,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001533825,"about_ca_topic_score_gemma":0.00003061155,"domain_scores_codex":[0.9948053,0.0002796083,0.0007343904,0.0006535796,0.001882699,0.001644447],"domain_scores_gemma":[0.9855754,0.01241243,0.0001440054,0.000890627,0.0004648429,0.0005126549],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00115229,0.0007237067,0.0001009666,0.005092847,0.0005279371,0.0002630578,0.001825976,0.000157171,0.005817069,0.8795612,0.1024245,0.002353228],"study_design_scores_gemma":[0.003341519,0.0003495187,0.00008976334,0.000590258,0.00007595657,0.0000190953,0.0004837218,0.1537108,0.0005021551,0.8329948,0.007226346,0.0006160949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8206283,0.00001352771,0.1565104,0.0118393,0.0001325676,0.004616087,0.0002330137,0.000593964,0.005432799],"genre_scores_gemma":[0.919669,0.00001997462,0.07009323,0.0007608517,0.0005179908,0.003172441,0.0001665874,0.0003871859,0.005212717],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1535536,"threshold_uncertainty_score":0.9999847,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4413105182","doi":"10.4310/mrl.250729172032","title":"Structure algebras, Hopf algebroids and oriented cohomology of a group","year":2025,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Cohomology; Pure mathematics; Hopf algebra; Group (periodic table); Algebra over a field; Chemistry","retraction":null,"screen_n_in":null,"score":{"opus":0.04721591343471291,"gpt":0.3978502196593155,"spread":0.3506343062246026,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001238124,0.0002202544,0.0005444725,0.0004175894,0.0001510938,0.00003523881,0.0004383647,0.0001820195,0.0003945979],"category_scores_gemma":[0.006256644,0.0001846563,0.00007795617,0.0007014176,0.001176261,0.00009731107,0.0005212288,0.0007794673,0.00001458862],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001052371,"about_ca_system_score_gemma":0.00005121798,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000564959,"about_ca_topic_score_gemma":0.000006508679,"domain_scores_codex":[0.9971799,0.0003736327,0.0005732747,0.0004460016,0.0007636742,0.0006634678],"domain_scores_gemma":[0.9945456,0.004298688,0.00009532471,0.0007274452,0.0001897567,0.0001432197],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004192141,0.0001200864,0.0002554204,0.000859789,0.00008820611,0.00002449991,0.0002654363,2.398719e-7,0.02662054,0.9636894,0.006949673,0.001084724],"study_design_scores_gemma":[0.0005989869,0.00008326019,0.0002524213,0.0002232701,0.00002696775,0.00001621593,0.0001596933,0.0001311685,0.007555097,0.9898492,0.0009643901,0.0001393417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8893731,0.0001349969,0.1012215,0.004332991,0.0001024547,0.0007379376,0.00001772716,0.00008588637,0.003993509],"genre_scores_gemma":[0.864821,0.00002403602,0.1332275,0.0007433171,0.00008865136,0.00007880197,0.000008074115,0.00005327041,0.0009554149],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03200601,"threshold_uncertainty_score":0.7530066,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2960812094","doi":"10.4310/mrl.2022.v29.n6.a7","title":"Representations of surface groups with universally finite mapping class group orbit","year":2022,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Conjecture; Combinatorics; Sigma; Isomorphism (crystallography); Orbit (dynamics); Genus; Mapping class group; Surface (topology); Class (philosophy); Finite group; Group (periodic table); Image (mathematics); Pure mathematics; Geometry; Crystallography; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.1007284915841686,"gpt":0.3537238508295041,"spread":0.2529953592453355,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002592221,0.0001624249,0.0003999336,0.0005469509,0.0004167044,0.00003480001,0.0006304692,0.00005025587,0.002181103],"category_scores_gemma":[0.002109112,0.0001389167,0.0001044175,0.002098775,0.0005807436,0.0001071905,0.0006028335,0.0008266213,0.00005970471],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001670503,"about_ca_system_score_gemma":0.00008270309,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005135827,"about_ca_topic_score_gemma":0.00001213998,"domain_scores_codex":[0.9961885,0.00070622,0.0004581143,0.0003902025,0.001585893,0.0006710443],"domain_scores_gemma":[0.9914759,0.007428097,0.0001490499,0.0006439366,0.000145849,0.0001571146],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001262052,0.0007235448,0.001368152,0.000533508,0.0002093978,0.0002642515,0.004260976,0.0007618924,0.006254477,0.9663111,0.01896207,0.0002244222],"study_design_scores_gemma":[0.003358602,0.001378679,0.002186726,0.0002319495,0.0001093728,0.0002050225,0.04113552,0.007847686,0.0009122395,0.9340144,0.007784716,0.0008350154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8946005,0.00002297379,0.08691975,0.009813454,0.00004486597,0.0006171112,0.00002372408,0.00008239062,0.007875215],"genre_scores_gemma":[0.9739168,0.00000343378,0.02410744,0.000208461,0.00003209614,0.00006310452,0.00001130396,0.00004304331,0.001614298],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0793163,"threshold_uncertainty_score":0.998731,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}