{"meta":{"query_hash":"39bf50b9d0f2","filters":{"venue":"Acta Mathematica"},"cohort_total":11,"direct_labels_cover":0,"predictions_cover":11,"exported":11,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/39bf50b9d0f2","api":"https://metacan.xera.ac/api/v1/cohort?venue=Acta+Mathematica"},"results":[{"id":"W1546164573","doi":"10.1007/s11511-016-0137-1","title":"Regularity of Kähler–Ricci flows on Fano manifolds","year":2016,"lang":"de","type":"article","venue":"Acta Mathematica","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":76,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Office of the Dean for Research, Princeton University; Peking University; Centre de Recherches Mathématiques; Princeton University","keywords":"Fano plane; Mathematics; Ricci curvature; Conjecture; Pure mathematics; Dimension (graph theory); Ricci flow; Manifold (fluid mechanics); Norm (philosophy); Bounded function; Ricci-flat manifold; Curvature; Mathematical analysis; Scalar curvature; Geometry","score_opus":0.043957570397776126,"score_gpt":0.2764828772223538,"score_spread":0.2325253068245777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1546164573","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7670412,0.0010516376,0.035879996,0.0262288,0.0031280944,0.004354258,0.0006987975,0.000951929,0.16066527],"genre_scores_gemma":[0.97865653,0.00015729586,0.013579714,0.0002498221,0.00062636944,0.00004449996,0.000007975951,0.00015109484,0.0065266895],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995205,0.000286811,0.0016197979,0.00082064857,0.0011785598,0.00088920945],"domain_scores_gemma":[0.993795,0.0022394424,0.0009706922,0.0023549898,0.00024483068,0.00039504806],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009578712,0.00077900814,0.0014982837,0.00029238066,0.0001765828,0.000091184156,0.0013181468,0.0004840734,0.005625259],"category_scores_gemma":[0.0019224082,0.00054437603,0.0006075703,0.0005998229,0.00019905601,0.00026894317,0.00047862387,0.0003408324,0.004605807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002955828,0.0031630932,0.000108515545,0.0045932727,0.0011595824,0.000084273735,0.0020793467,0.000001095206,0.031330578,0.90099925,0.052751094,0.0034342874],"study_design_scores_gemma":[0.0032623815,0.0019584815,0.00044208844,0.004475732,0.001501926,0.00005605783,0.0006632659,0.0013688074,0.06090451,0.88615555,0.037413135,0.0017980451],"about_ca_topic_score_codex":0.0000063858342,"about_ca_topic_score_gemma":0.0000041098133,"teacher_disagreement_score":0.21161532,"about_ca_system_score_codex":0.000114677634,"about_ca_system_score_gemma":0.00011556621,"threshold_uncertainty_score":0.9997008},"labels":[],"label_agreement":null},{"id":"W1978872966","doi":"10.1007/s11511-012-0088-0","title":"Non-realizability and ending laminations: Proof of the density conjecture","year":2012,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Lamination; Subsequence; Pure mathematics; Algebraic number; Conjecture; Limit (mathematics); Surface (topology); Sequence (biology); Conformal map; Mathematical analysis; Geometry","score_opus":0.03160092406164554,"score_gpt":0.29601712785117995,"score_spread":0.2644162037895344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978872966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9908148,0.000036447094,0.0034149594,0.001118759,0.00008432881,0.00042018102,0.0000053566064,0.000024639889,0.004080542],"genre_scores_gemma":[0.99489605,0.0000018931703,0.0048356387,0.000050177197,0.000042590073,0.000012705722,6.409761e-7,0.00001138233,0.00014891232],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917513,0.00006054569,0.00027442817,0.00011684174,0.00016875521,0.00020429549],"domain_scores_gemma":[0.9985005,0.0008393727,0.00019854603,0.0003513521,0.00004279188,0.00006739835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052355457,0.00011364966,0.0002760009,0.00004525081,0.000087314285,0.00000848482,0.00016831711,0.000084194275,0.000116301846],"category_scores_gemma":[0.0022075751,0.000070014474,0.00006242526,0.00024680907,0.0001766268,0.000090684356,0.0001553044,0.000119888224,0.000003074954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006971541,0.00050546066,0.038202554,0.0015252803,0.00009647942,7.5013975e-7,0.009123021,9.839232e-8,0.0020112658,0.9453149,0.0022649895,0.0009482706],"study_design_scores_gemma":[0.00045561383,0.00006481602,0.044942398,0.000100732424,0.00020285267,0.00011527313,0.0009654393,0.00025044597,0.041832782,0.9104071,0.0004223792,0.00024014982],"about_ca_topic_score_codex":0.0000040032583,"about_ca_topic_score_gemma":0.0000019717993,"teacher_disagreement_score":0.039821517,"about_ca_system_score_codex":0.000016375248,"about_ca_system_score_gemma":0.000019066856,"threshold_uncertainty_score":0.28551072},"labels":[],"label_agreement":null},{"id":"W2014550326","doi":"10.1007/bf02588080","title":"Symplectic nonsqueezing of the korteweg-de vries flow","year":2005,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Korteweg–de Vries equation; Flow (mathematics); Geometry; Nonlinear system; Physics","score_opus":0.03330298852166467,"score_gpt":0.30703448761763086,"score_spread":0.27373149909596617,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014550326","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46990117,0.00017457071,0.37774843,0.025537262,0.00031650893,0.0036644002,0.000061861065,0.0011153504,0.12148042],"genre_scores_gemma":[0.75639546,0.0000046363784,0.24284685,0.00022683172,0.0000971891,0.000045056247,6.1567056e-7,0.000065979606,0.00031739543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979406,0.00008598951,0.0007468588,0.00026932367,0.00049276726,0.00046443308],"domain_scores_gemma":[0.9968181,0.0015489258,0.0004300826,0.00096626463,0.00010721508,0.00012936121],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045847992,0.0002893259,0.00057286245,0.000044949433,0.00015335092,0.000037950558,0.00070402067,0.00009803249,0.0002036445],"category_scores_gemma":[0.0025037779,0.00019858837,0.00025475194,0.00034803952,0.0002291478,0.0002814733,0.00027065838,0.00031590016,0.00009220764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011588173,0.00045833047,0.000028716455,0.0012452867,0.000109620356,0.0000013949664,0.005262029,0.0000668622,0.024661293,0.9632494,0.0036048612,0.0013006438],"study_design_scores_gemma":[0.00026616093,0.00003255441,0.000023962895,0.0002754499,0.00011737854,0.000027217047,0.0001831753,0.010149373,0.028644118,0.9594873,0.000566997,0.00022628608],"about_ca_topic_score_codex":0.0000017148399,"about_ca_topic_score_gemma":0.0000051769885,"teacher_disagreement_score":0.28649428,"about_ca_system_score_codex":0.000103896025,"about_ca_system_score_gemma":0.0000951225,"threshold_uncertainty_score":0.8098199},"labels":[],"label_agreement":null},{"id":"W2033036947","doi":"10.1007/s11511-009-0035-x","title":"The quantum orbifold cohomology of weighted projective spaces","year":2009,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":87,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Orbifold; Quantum cohomology; Pure mathematics; Cohomology; Projective space; Equivariant cohomology; Čech cohomology; Conjecture; Projective plane; Discrete mathematics; De Rham cohomology; Projective test; Geometry","score_opus":0.02549798727662703,"score_gpt":0.2971068528164729,"score_spread":0.27160886553984587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033036947","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.922261,0.00019366993,0.003349122,0.009199554,0.00019152813,0.0010398972,0.000010380844,0.00023963008,0.063515194],"genre_scores_gemma":[0.994527,0.00002423368,0.004492128,0.0001291382,0.000068380774,0.000017775828,0.0000013767602,0.000020317022,0.000719664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985366,0.00016998389,0.0004744998,0.00021490625,0.00028195258,0.00032204745],"domain_scores_gemma":[0.9964539,0.002448754,0.00036209202,0.0005559959,0.000104953826,0.00007433825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073368853,0.00020312503,0.00044471535,0.000059929844,0.00016988051,0.00003082203,0.00046247634,0.00011273083,0.00015054015],"category_scores_gemma":[0.0014878144,0.00012378226,0.00012601279,0.00032873,0.00021205418,0.000102837774,0.0000640127,0.00020060099,0.00007143966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000076139,0.0002274035,0.000020285579,0.000093871095,0.000100603655,0.000006001509,0.0022542113,1.9802206e-8,0.001425153,0.98971325,0.0055531724,0.0005298645],"study_design_scores_gemma":[0.00026801715,0.00026831025,0.00013085704,0.000058335736,0.000075729295,0.00003876959,0.0011982291,0.00021101761,0.0081612645,0.9882842,0.0011549302,0.00015035637],"about_ca_topic_score_codex":0.0000020995546,"about_ca_topic_score_gemma":0.0000010453704,"teacher_disagreement_score":0.07226596,"about_ca_system_score_codex":0.000019322031,"about_ca_system_score_gemma":0.000048159403,"threshold_uncertainty_score":0.5047694},"labels":[],"label_agreement":null},{"id":"W2072229649","doi":"10.1007/s11511-011-0065-z","title":"Markoff–Lagrange spectrum and extremal numbers","year":2011,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"semigroups and automata theory","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Combinatorics; Irrational number; Bijection; Zero (linguistics); Integer (computer science); Real number; Geometry","score_opus":0.024796783038986494,"score_gpt":0.20577983862229546,"score_spread":0.18098305558330896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072229649","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39904118,0.0003138151,0.25124922,0.006217671,0.0004602318,0.0005985262,0.000006635413,0.001294536,0.3408182],"genre_scores_gemma":[0.9271697,0.000013793648,0.07217668,0.00035788552,0.000032726763,0.000007506042,3.823526e-7,0.0000119832675,0.00022933699],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991619,0.000030522795,0.0001641338,0.00026637063,0.00014351596,0.00023358349],"domain_scores_gemma":[0.999238,0.00009625304,0.00006700237,0.00046780263,0.000008725148,0.00012218297],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019727682,0.00012974768,0.0001679562,0.00003852311,0.00006324781,0.00008494289,0.00056918967,0.00004092266,0.00028124783],"category_scores_gemma":[0.00003661745,0.00010510189,0.0000435389,0.00012985243,0.000059652248,0.00041406738,0.00024679178,0.00007725319,0.0001881651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009474896,0.0001314948,0.00025009227,0.000106493724,0.000037573987,0.000061931816,0.009389058,1.1062719e-8,0.0012811844,0.97716147,0.003757588,0.00781363],"study_design_scores_gemma":[0.0006701046,0.00019089003,0.008276336,0.00012626329,0.000042231295,0.00040252286,0.0004831424,0.0213066,0.00647747,0.95668983,0.0045921546,0.00074243936],"about_ca_topic_score_codex":0.000009553105,"about_ca_topic_score_gemma":0.000002114541,"teacher_disagreement_score":0.52812856,"about_ca_system_score_codex":0.000007557061,"about_ca_system_score_gemma":0.000011475517,"threshold_uncertainty_score":0.42859307},"labels":[],"label_agreement":null},{"id":"W2080233228","doi":"10.1007/s11511-010-0051-x","title":"The Fourier spectrum of critical percolation","year":2010,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":88,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; Microsoft Research","keywords":"Percolation (cognitive psychology); Mathematics; Square tiling; Square (algebra); Fourier transform; Dimension (graph theory); Plane (geometry); Combinatorics; Function (biology); Spectrum (functional analysis); Percolation critical exponents; Order (exchange); Grid; Mathematical analysis; Critical exponent; Geometry; Physics; Quantum mechanics","score_opus":0.02935086578457686,"score_gpt":0.3385690419525245,"score_spread":0.30921817616794767,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2080233228","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035284642,0.0000221765,0.93344945,0.014404403,0.0005711698,0.00051074085,0.00002930378,0.00012543713,0.015602681],"genre_scores_gemma":[0.8739697,0.0000022431886,0.12574229,0.000043277065,0.0000951616,0.000019420298,5.8465247e-7,0.000021969408,0.00010539366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988449,0.000021397282,0.00039173124,0.0001484793,0.00035366116,0.00023982252],"domain_scores_gemma":[0.9943025,0.0049624783,0.000109283996,0.0004158154,0.00010257823,0.000107342654],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0004140449,0.00012356305,0.00022738645,0.000019541403,0.00015661395,0.00004725167,0.0002907725,0.00008106963,0.00032488754],"category_scores_gemma":[0.01736768,0.00007831569,0.00006711017,0.00011156911,0.00017488126,0.00007283062,0.000069217764,0.0002667452,0.00004660069],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011333676,0.0000841561,0.0000013974745,0.00019297375,0.0000117901845,0.0000015218397,0.0003182732,1.4200979e-8,0.001971877,0.99559075,0.00094962976,0.00086626597],"study_design_scores_gemma":[0.00010606743,0.00007141432,0.000017506096,0.000023949382,0.000055289882,0.000020110623,0.00014321388,0.015079199,0.0014369761,0.9821348,0.0008151466,0.000096303396],"about_ca_topic_score_codex":9.281111e-7,"about_ca_topic_score_gemma":0.000007994118,"teacher_disagreement_score":0.83868504,"about_ca_system_score_codex":0.0000065563013,"about_ca_system_score_gemma":0.00004349578,"threshold_uncertainty_score":0.99090946},"labels":[],"label_agreement":null},{"id":"W2090755539","doi":"10.1007/s11511-007-0021-0","title":"Limit shapes and the complex Burgers equation","year":2007,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":253,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; David and Lucile Packard Foundation; Institut Henri Poincaré; Centre National de la Recherche Scientifique; Princeton University; National Science Foundation","keywords":"Mathematics; Holomorphic function; Mathematical analysis; Burgers' equation; Boundary (topology); Surface (topology); Limit (mathematics); Lipschitz continuity; Gravitational singularity; Inviscid flow; Partial differential equation; Geometry; Classical mechanics","score_opus":0.038306147412250115,"score_gpt":0.256969483843696,"score_spread":0.2186633364314459,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090755539","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.034321833,0.000031620944,0.94445264,0.01537118,0.000058760805,0.00017404657,2.9215653e-7,0.00010694997,0.005482651],"genre_scores_gemma":[0.97276706,0.000003850853,0.026264913,0.0008594135,0.00005231786,0.000003433601,6.8744083e-7,0.0000036270928,0.00004467355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9993556,0.000027251608,0.0001829556,0.00013968248,0.00015471508,0.00013979076],"domain_scores_gemma":[0.99894255,0.00075691985,0.00007991231,0.0001429546,0.000020617226,0.000057066693],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053932867,0.000072523806,0.00011362902,0.00003096237,0.000107236614,0.00012363425,0.00030027755,0.00001951263,0.000014660176],"category_scores_gemma":[0.00014278635,0.000045733403,0.000032590942,0.0001415771,0.0000744538,0.00021115602,0.00012738336,0.00005172541,0.000040789102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015814023,0.000025381856,0.000009866374,0.000022708387,0.000016443124,0.0000024312897,0.003648179,0.0000045881443,0.001184432,0.91458654,0.0013193176,0.07916427],"study_design_scores_gemma":[0.0007265218,0.000034274544,0.0045033996,0.000021253178,0.000012991556,0.000022941063,0.000105727195,0.65933084,0.0005391071,0.33166394,0.002881197,0.0001578024],"about_ca_topic_score_codex":0.000005048829,"about_ca_topic_score_gemma":0.0000014051438,"teacher_disagreement_score":0.93844527,"about_ca_system_score_codex":0.0000084239855,"about_ca_system_score_gemma":0.000009819672,"threshold_uncertainty_score":0.18649541},"labels":[],"label_agreement":null},{"id":"W2580402867","doi":"10.1007/s11511-016-0141-5","title":"Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders","year":2016,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission; Agence Nationale de la Recherche; National Science Foundation","keywords":"Codimension; Invariant (physics); A priori and a posteriori; Integrable system; Mathematics; Regular polygon; Degrees of freedom (physics and chemistry); Periodic orbits; Pure mathematics; Orbit (dynamics); Diffusion; Mathematical physics; Mathematical analysis; Physics; Geometry; Quantum mechanics","score_opus":0.01042508666543091,"score_gpt":0.21121033742215095,"score_spread":0.20078525075672005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2580402867","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9884766,0.000019377203,0.0038068616,0.00058757997,0.000029499073,0.00016501715,0.000016536344,0.0000124087055,0.0068861605],"genre_scores_gemma":[0.9986526,0.0000060857947,0.0011896112,0.000012467433,0.000058622416,0.000011012479,0.000001956932,0.000012651224,0.000055028962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992252,0.000027102016,0.00031028793,0.00015383429,0.000116894604,0.0001666984],"domain_scores_gemma":[0.9994408,0.00017922607,0.00011240928,0.0001732065,0.000013446759,0.000080922946],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010163384,0.000116569434,0.00027446783,0.00004005365,0.000021442338,0.000014302307,0.000122010315,0.000038468523,0.00012674699],"category_scores_gemma":[0.000018305727,0.00006962509,0.000049156028,0.00006755552,0.00006454077,0.0001150855,0.00007381273,0.00006140445,0.00001722908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006482164,0.00066677283,0.09299133,0.00033543716,0.00010398508,0.000007572778,0.0019597972,0.000008715973,0.112802975,0.78590083,0.00021091143,0.004946851],"study_design_scores_gemma":[0.011983849,0.0007815274,0.33993283,0.004674137,0.00019477011,0.000029931516,0.003251447,0.20489393,0.0049658907,0.42583606,0.0012779381,0.0021777046],"about_ca_topic_score_codex":0.00017318314,"about_ca_topic_score_gemma":0.000011960464,"teacher_disagreement_score":0.36006477,"about_ca_system_score_codex":0.0000072626485,"about_ca_system_score_gemma":0.000020125875,"threshold_uncertainty_score":0.28392288},"labels":[],"label_agreement":null},{"id":"W2897785250","doi":"10.4310/acta.2022.v228.n2.a1","title":"Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness","year":2022,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Uniqueness; Regular polygon; Entropy (arrow of time); Mathematical analysis; Geometry; Thermodynamics","score_opus":0.022391552624243458,"score_gpt":0.26210141296928596,"score_spread":0.2397098603450425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2897785250","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97478247,0.0006126953,0.011355614,0.0032889626,0.00028995008,0.00088583917,0.000056204128,0.000305092,0.0084231505],"genre_scores_gemma":[0.9893917,0.000030756473,0.009019315,0.00062006543,0.000077450204,0.000110511915,0.000016304935,0.00005267535,0.0006812389],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99770457,0.0001610142,0.0005347743,0.0004471918,0.0007359225,0.00041650503],"domain_scores_gemma":[0.9982868,0.00049447536,0.00026429116,0.00065471174,0.00007992616,0.00021980345],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00077704433,0.0002858748,0.0006310549,0.00020126633,0.00035616115,0.00011079644,0.0004502131,0.00006748606,0.0023975382],"category_scores_gemma":[0.0005483911,0.00024157956,0.00017621969,0.0009688537,0.000050154984,0.0001596735,0.00044113092,0.00033664898,0.000042000305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001035085,0.0020886138,0.00046290443,0.0015028552,0.00086347095,0.00013631409,0.010527756,0.000043576507,0.014352482,0.8828766,0.08334446,0.0036974698],"study_design_scores_gemma":[0.00318224,0.00068768713,0.00085910736,0.00018615325,0.0013779538,0.00033672826,0.011924278,0.08339998,0.0031548264,0.7759768,0.116647355,0.0022669078],"about_ca_topic_score_codex":0.0000068906174,"about_ca_topic_score_gemma":0.0000037026005,"teacher_disagreement_score":0.10689981,"about_ca_system_score_codex":0.00007800247,"about_ca_system_score_gemma":0.00006134907,"threshold_uncertainty_score":0.9985144},"labels":[],"label_agreement":null},{"id":"W2903509700","doi":"10.4310/acta.2022.v229.n2.a1","title":"The directed landscape","year":2022,"lang":"en","type":"preprint","venue":"Acta Mathematica","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics","keywords":"Geodesic; Mathematics; Brownian motion; Universality (dynamical systems); Statistical physics; Mathematical analysis; Pure mathematics; Mathematical physics; Physics; Statistics","score_opus":0.041623426832030644,"score_gpt":0.3260677071902507,"score_spread":0.28444428035822006,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2903509700","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11307591,0.0027314702,0.0066177654,0.066805854,0.0017050569,0.010317046,0.0006472141,0.004847037,0.79325265],"genre_scores_gemma":[0.8393037,0.003344861,0.09437739,0.0008180223,0.0017806526,0.010562294,0.00030464702,0.0007515585,0.04875689],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99810064,0.00012570713,0.0005903098,0.00039128473,0.00048296707,0.0003090862],"domain_scores_gemma":[0.99523556,0.0026963542,0.0005137399,0.001389828,0.000061970495,0.000102566126],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005671355,0.00030573504,0.0005315499,0.000044939916,0.00058711495,0.00025552406,0.0012099185,0.00013128064,0.0012399406],"category_scores_gemma":[0.0008383818,0.00019938075,0.0002753636,0.0002196358,0.00005872815,0.000032596057,0.0013238628,0.0007694942,0.00008632087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039446175,0.00023286615,0.000020344918,0.00095026346,0.00033087534,0.000006576423,0.0018695915,0.0000059793347,0.0000374355,0.4830654,0.51250863,0.0009326032],"study_design_scores_gemma":[0.0003092112,0.000016395477,0.00003873326,0.000061437895,0.00020578543,0.000007797429,0.0003753272,0.0047401786,0.000025168232,0.8177214,0.17618579,0.00031277168],"about_ca_topic_score_codex":0.000005049128,"about_ca_topic_score_gemma":0.0000041063963,"teacher_disagreement_score":0.74449575,"about_ca_system_score_codex":0.000039337534,"about_ca_system_score_gemma":0.00008658647,"threshold_uncertainty_score":0.99967307},"labels":[],"label_agreement":null},{"id":"W2963131069","doi":"10.1007/s11511-016-0138-0","title":"A complete classification of homogeneous plane continua","year":2016,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Nipissing University","funders":"","keywords":"Mathematics; Indecomposable module; Cantor set; Homeomorphism (graph theory); Homogeneous; Plane (geometry); Combinatorics; Arc (geometry); Pure mathematics; Geometry","score_opus":0.06133424122959306,"score_gpt":0.31161877333663424,"score_spread":0.25028453210704116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963131069","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75315607,0.00007471821,0.19625801,0.006596722,0.00018670532,0.00087639206,0.00019722337,0.00037202382,0.042282116],"genre_scores_gemma":[0.976506,0.00001175768,0.022400226,0.00005642411,0.000036536843,0.000018699773,0.0000038865073,0.000023562878,0.0009429277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990315,0.000072806964,0.00039494378,0.0001756867,0.00013923272,0.0001858631],"domain_scores_gemma":[0.99753493,0.0016298911,0.0002781025,0.0004364325,0.0000573598,0.00006327472],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021229131,0.00013164485,0.00035193964,0.000042047523,0.000045153432,0.0000039399947,0.0002350356,0.00008796577,0.00043697632],"category_scores_gemma":[0.0009868413,0.00008369582,0.00007172187,0.000063224834,0.00021917741,0.00007527716,0.00004502054,0.00006222333,0.00016450754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054326625,0.0001128001,0.000072870236,0.00012675716,0.00005180092,0.0000057199163,0.0005267112,1.9442222e-8,0.16685311,0.82955605,0.0014785123,0.0011613142],"study_design_scores_gemma":[0.00050856837,0.00008840184,0.00014619701,0.000112400514,0.00004889467,0.000052557276,0.0001555523,0.000042725642,0.010673336,0.9851101,0.002914522,0.00014674713],"about_ca_topic_score_codex":2.705306e-7,"about_ca_topic_score_gemma":0.0000018194146,"teacher_disagreement_score":0.22334988,"about_ca_system_score_codex":0.000011881711,"about_ca_system_score_gemma":0.000017419778,"threshold_uncertainty_score":0.47845843},"labels":[],"label_agreement":null}]}