{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":76,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":76,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"9ab8fed93ba9","filters":{"venue":"Geometric and Functional Analysis"}},"results":[{"id":"W2026849456","doi":"10.1007/s00039-007-0629-4","title":"Special Cube Complexes","year":2007,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":431,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Cube (algebra); Mathematics; Quasiconvex function; Sequence (biology); Combinatorics; Class (philosophy); Pure mathematics; Cube root; Special linear group; Group (periodic table); Geometry; Regular polygon; Computer science","authors":[{"name":"Frédéric Haglund","is_ca":false},{"name":"Daniel T. Wise","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03920923245411499,"gpt":0.2767491870522535,"spread":0.2375399545981385,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004392708,0.0008992785,0.0009195599,0.002214285,0.002338707,0.003783892,0.001148276,0.001157563,0.02178963],"category_scores_gemma":[0.001452309,0.0005052143,0.0007132334,0.001439803,0.002365956,0.005320239,0.00370828,0.003264684,0.003055471],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001491975,"about_ca_system_score_gemma":0.0005707282,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009598876,"about_ca_topic_score_gemma":0.0008813953,"domain_scores_codex":[0.999365,0.0001096604,0.00002550319,0.0001550277,0.0002245027,0.0001203057],"domain_scores_gemma":[0.9993455,0.0001204915,0.00009008645,0.00009816616,0.0001730479,0.0001726664],"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":[0.000009689803,0.000004547791,0.0000409757,0.00001020125,0.00000295327,0.0000332598,0.0000649802,0.0001316912,0.0002732285,0.9951975,0.002125589,0.002105488],"study_design_scores_gemma":[0.000006776796,0.000007275934,0.0001482594,0.000007791183,0.000007249586,0.0002692589,0.0001368013,0.00145704,0.0005393735,0.982613,0.01479905,0.000008141699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2074988,0.002089906,0.1378685,0.003749337,0.001605061,0.0001206652,0.0008357521,0.0005866561,0.6456453],"genre_scores_gemma":[0.7779027,0.001520255,0.02635868,0.001134752,0.0008980425,0.0001922038,0.001025944,0.0005100668,0.1904574],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02178963,"threshold_uncertainty_score":0.07289362,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1968276645","doi":"10.1007/s00039-005-0503-1","title":"Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups","year":2005,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":393,"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; Automorphism; Topological dynamics; Dynamics (music); Automorphism group; Pure mathematics; Topology (electrical circuits); Combinatorics; Functional analysis; Topological tensor product","authors":[{"name":"Alexander S. Kechris","is_ca":false},{"name":"Vladimir Pestov","is_ca":true},{"name":"Stevo Todorčević","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02300199945271673,"gpt":0.2695106069987179,"spread":0.2465086075460012,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001511948,0.0003843862,0.000673452,0.002012811,0.002164169,0.002498325,0.0008039273,0.001122354,0.004366918],"category_scores_gemma":[0.004970384,0.0002832877,0.0005155391,0.001205211,0.004330089,0.008384456,0.001981138,0.001737612,0.0003098991],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001556447,"about_ca_system_score_gemma":0.0005908312,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001488307,"about_ca_topic_score_gemma":0.0009149968,"domain_scores_codex":[0.9994754,0.0001632854,0.0000218312,0.0001158213,0.000137638,0.00008611759],"domain_scores_gemma":[0.9978011,0.001082395,0.0003181006,0.000236672,0.000259919,0.0003018796],"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":[0.00000913582,0.000005573059,0.0001181702,0.000006121934,0.000002044376,0.00001438333,0.0001634378,0.0004000402,0.0001353462,0.9978567,0.0001820841,0.001106932],"study_design_scores_gemma":[0.000003767412,0.000004762424,0.0001156028,0.000003139343,0.000001377945,0.0000280463,0.00007577478,0.001205002,0.00006975017,0.9977198,0.0007697918,0.000003159141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.797509,0.004377292,0.07668208,0.005742477,0.000207409,0.00002860245,0.0001905246,0.0001788081,0.1150838],"genre_scores_gemma":[0.9887151,0.0008211687,0.003089779,0.000101706,0.0001587686,0.00002548045,0.00004887935,0.00001569658,0.007023503],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004366918,"threshold_uncertainty_score":0.01460874,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2068571612","doi":"10.1007/s00039-007-0599-6","title":"Szemerédi’s Lemma for the Analyst","year":2007,"lang":"hu","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":229,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Lemma (botany); Mathematics; Combinatorics; Graph; Graph theory; Discrete mathematics; Extremal graph theory; Line graph; Voltage graph","authors":[{"name":"László Lovász","is_ca":false},{"name":"Balázs Szegedy","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04175281659476747,"gpt":0.2951102300940967,"spread":0.2533574134993292,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001764324,0.0007014882,0.0009356359,0.002740818,0.002208135,0.003516103,0.001039258,0.001873369,0.01561938],"category_scores_gemma":[0.007031564,0.0004976992,0.001427585,0.002206865,0.004237012,0.009435488,0.003263487,0.006082034,0.003054173],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00154924,"about_ca_system_score_gemma":0.0008971026,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001030437,"about_ca_topic_score_gemma":0.0005135752,"domain_scores_codex":[0.999002,0.0002685483,0.00006456983,0.0002956816,0.0002375939,0.000131671],"domain_scores_gemma":[0.9977645,0.001245568,0.0001249311,0.0002959855,0.000454757,0.0001143362],"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":[0.00001059599,0.000005031773,0.0000597553,0.000015125,0.00000428325,0.0000260704,0.00007623739,0.00009288372,0.0002505135,0.9936019,0.003033156,0.002824458],"study_design_scores_gemma":[0.000007349114,0.000004719104,0.0000795696,0.000005282778,0.000005839049,0.00008919868,0.00003100772,0.0006835973,0.0002810453,0.9854816,0.01332412,0.000006717935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05082265,0.004766816,0.5496439,0.04174871,0.002573479,0.0001134522,0.001176986,0.0005909165,0.3485631],"genre_scores_gemma":[0.7454224,0.005786462,0.09621192,0.007195945,0.003554825,0.0003513417,0.0007683799,0.0007383741,0.1399703],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01561938,"threshold_uncertainty_score":0.05225199,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2066086960","doi":"10.1007/s00039-007-0618-7","title":"Reconstruction and Subgaussian Operators in Asymptotic Geometric Analysis","year":2007,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":207,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Combinatorics; Mathematics; Polytope; Scalar (mathematics); Geometry","authors":[{"name":"Shahar Mendelson","is_ca":false},{"name":"Alain Pajor","is_ca":false},{"name":"Nicole Tomczak-Jaegermann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009047416774174153,"gpt":0.1988572305365369,"spread":0.1898098137623628,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003518289,0.001591663,0.001471629,0.002785062,0.0006862071,0.001956764,0.00129459,0.002600865,0.002828858],"category_scores_gemma":[0.01437644,0.0006825878,0.0009749333,0.002528965,0.005740849,0.005918319,0.002465755,0.003240605,0.0006216961],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001108447,"about_ca_system_score_gemma":0.0007086914,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001424594,"about_ca_topic_score_gemma":0.0009854105,"domain_scores_codex":[0.9987177,0.000681366,0.00005391876,0.0001515236,0.0003380013,0.00005756989],"domain_scores_gemma":[0.9930148,0.005061787,0.0004548078,0.0005392974,0.0007218636,0.0002074248],"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":[0.0000260847,0.00001664124,0.0001350197,0.00007148629,0.00001357886,0.00006534039,0.0001060201,0.01918093,0.0009298893,0.9638368,0.001740114,0.01387805],"study_design_scores_gemma":[0.000006114381,0.00001671747,0.0001418729,0.00001577809,0.000009877484,0.0001169392,0.00004443535,0.2030484,0.0004194173,0.7936772,0.002487149,0.0000159233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01480407,0.003171553,0.9697171,0.001790472,0.000265843,0.00001974745,0.00008874469,0.000135935,0.01000647],"genre_scores_gemma":[0.6169727,0.01163155,0.3290165,0.001543019,0.002842435,0.0002024234,0.0003975541,0.000424835,0.03696891],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003518289,"threshold_uncertainty_score":0.01860666,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1993049165","doi":"10.1007/s00039-004-0454-y","title":"Cubulating small cancellation groups","year":2004,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":156,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Codimension; Combinatorics; Finitely-generated abelian group; Group (periodic table); Finitely generated group; Word (group theory); Hyperbolic group; Discrete mathematics; Pure mathematics; Mathematical analysis; Geometry; Hyperbolic manifold; Hyperbolic function","authors":[{"name":"Daniel T. Wise","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04246406672745644,"gpt":0.2508003606070429,"spread":0.2083362938795864,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005238086,0.0007370204,0.0009859327,0.002088745,0.001854566,0.002409687,0.001039824,0.001144165,0.01391384],"category_scores_gemma":[0.002232038,0.0004194909,0.0006321945,0.0006623457,0.002267637,0.003358054,0.003108131,0.002087683,0.001954964],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000772741,"about_ca_system_score_gemma":0.0004539882,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006900017,"about_ca_topic_score_gemma":0.0008863701,"domain_scores_codex":[0.9994636,0.0001333198,0.00001711871,0.00008824693,0.0001726134,0.000124969],"domain_scores_gemma":[0.9992071,0.0002255513,0.00009031439,0.0001802279,0.0001254288,0.0001714252],"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":[0.00004101577,0.00001122067,0.00006882606,0.00001623255,0.000004133807,0.00003809311,0.00009899701,0.0005502738,0.001365295,0.9928522,0.001213066,0.003740609],"study_design_scores_gemma":[0.00001234672,0.00001487543,0.00009579534,0.00000743779,0.000005782142,0.00009318991,0.00009008009,0.004479519,0.0008658032,0.9885423,0.005784001,0.000008931495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4245443,0.001065559,0.2551503,0.002612585,0.001124752,0.0001475666,0.0004440579,0.001602905,0.313308],"genre_scores_gemma":[0.8721637,0.0003490404,0.03005907,0.0007268469,0.000528686,0.0001149266,0.0004601182,0.0005326895,0.09506498],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01391384,"threshold_uncertainty_score":0.04654646,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2039708216","doi":"10.1007/s00039-004-0471-x","title":"A variational approach for compact homogeneous Einstein manifolds","year":2004,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":152,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Homogeneous; Einstein; Pure mathematics; Mathematical analysis; Mathematical physics; Combinatorics","authors":[{"name":"Christoph B�hm","is_ca":false},{"name":"McKenzie Wang","is_ca":true},{"name":"Wolfgang Ziller","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03566148339501186,"gpt":0.2475114976523361,"spread":0.2118500142573242,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00150908,0.001215644,0.001160082,0.002176908,0.001227102,0.001934961,0.001763436,0.001581096,0.003837214],"category_scores_gemma":[0.001664073,0.0005854295,0.001080651,0.001178497,0.002883003,0.003324731,0.002823048,0.002112336,0.0004268326],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001990872,"about_ca_system_score_gemma":0.001032642,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003432709,"about_ca_topic_score_gemma":0.004418852,"domain_scores_codex":[0.9996737,0.0001432756,0.00001592432,0.00005654267,0.00007774151,0.00003280147],"domain_scores_gemma":[0.999543,0.0001404939,0.0000536238,0.00004683145,0.000101881,0.0001142749],"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":[0.000003565654,0.000009436648,0.00004617788,0.00001946476,0.000009279808,0.00001832508,0.0000538378,0.003326157,0.0003918664,0.9939414,0.0004789317,0.001701402],"study_design_scores_gemma":[0.000004411494,0.000009696446,0.00009502822,0.000009344816,0.000005414268,0.0000194963,0.00003058882,0.03281138,0.00006688864,0.9644163,0.002525161,0.000006208916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08676743,0.006760098,0.8324649,0.006036238,0.0007370475,0.00006830188,0.0003079181,0.0001403271,0.06671777],"genre_scores_gemma":[0.6904593,0.007337805,0.2059566,0.001372396,0.002510489,0.000237642,0.0004465471,0.0003133547,0.09136587],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003837214,"threshold_uncertainty_score":0.01444483,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2149818552","doi":"10.1007/s00039-003-0438-3","title":"The distribution of values of L(1, χ d )","year":2003,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":140,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; American Institute of Mathematics; National Science Foundation","keywords":"Mathematics; Distribution (mathematics); Combinatorics; Pure mathematics; Geometry; Mathematical analysis","authors":[{"name":"Andrew Granville","is_ca":true},{"name":"K. Soundararajan","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04126826813674635,"gpt":0.2974224266259549,"spread":0.2561541584892085,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00413395,0.0004397314,0.0005708112,0.004325095,0.0008832722,0.00519439,0.001519035,0.001130218,0.007268281],"category_scores_gemma":[0.03494794,0.0003320761,0.0002774746,0.001968777,0.003944457,0.004216897,0.001763481,0.001654538,0.000768844],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001565618,"about_ca_system_score_gemma":0.0006544842,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005257294,"about_ca_topic_score_gemma":0.0004119009,"domain_scores_codex":[0.9985745,0.0004895768,0.00005719933,0.0003467555,0.0002897758,0.0002421546],"domain_scores_gemma":[0.9660358,0.02605808,0.002913445,0.00187587,0.001552925,0.001563873],"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":[0.001337228,0.0003290822,0.07779442,0.0005322835,0.000108716,0.0005789032,0.001725925,0.0135548,0.01730707,0.7976442,0.006416537,0.08267082],"study_design_scores_gemma":[0.0001471947,0.0003995591,0.09208886,0.0003167345,0.00009022628,0.002243739,0.002267631,0.1173683,0.01594606,0.7576601,0.01122373,0.0002478294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9456996,0.0007353176,0.03548216,0.001817995,0.00004543655,0.00003106149,0.001191209,0.0003858823,0.01461127],"genre_scores_gemma":[0.9915066,0.0004463313,0.003571478,0.0001008414,0.00006962627,0.00004960614,0.0007553745,0.00007554703,0.003424598],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007268281,"threshold_uncertainty_score":0.02431482,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2064419220","doi":"10.1007/s00039-006-0579-2","title":"The effect of curvature on the best constant in the Hardy–Sobolev inequalities","year":2006,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":122,"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":"Mathematics; Omega; Sobolev space; Nabla symbol; Star (game theory); Dimension (graph theory); Combinatorics; Boundary (topology); Constant (computer programming); Domain (mathematical analysis); Curvature; Sobolev inequality; Homogeneous space; Section (typography); Mean curvature; Mathematical analysis; Geometry; Physics","authors":[{"name":"Nassif Ghoussoub","is_ca":true},{"name":"Frédéric Robert","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03748337239539864,"gpt":0.279509465418126,"spread":0.2420260930227273,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01219691,0.002561313,0.002641489,0.003409179,0.002052287,0.005168577,0.003130973,0.004216127,0.007510411],"category_scores_gemma":[0.06301266,0.001725678,0.002193202,0.001585523,0.007029137,0.0112515,0.005914934,0.005839585,0.001050707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002826156,"about_ca_system_score_gemma":0.001524583,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003597538,"about_ca_topic_score_gemma":0.002466683,"domain_scores_codex":[0.9954091,0.002835477,0.0001847197,0.0005381145,0.0005202452,0.0005123297],"domain_scores_gemma":[0.9397509,0.04194235,0.004281237,0.005777074,0.003444207,0.004804306],"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":[0.001078942,0.0001522367,0.003250134,0.0004604859,0.0002293128,0.0008608656,0.0008610659,0.05891778,0.01602533,0.892606,0.004972892,0.02058499],"study_design_scores_gemma":[0.0001551725,0.0003461309,0.008101241,0.0002172499,0.0003641006,0.0008870149,0.0003647814,0.3778038,0.00883091,0.5961783,0.006248532,0.0005026918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5359897,0.02424902,0.3088115,0.02359934,0.002737392,0.0001001427,0.000662671,0.001389405,0.1024609],"genre_scores_gemma":[0.9623462,0.003283508,0.0185871,0.0007719537,0.0008190998,0.0000472651,0.0001176487,0.0007463371,0.013281],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01219691,"threshold_uncertainty_score":0.06450421,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2074755411","doi":"10.1007/s00039-009-0003-9","title":"Arithmetic Progressions in Sets of Fractional Dimension","year":2009,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":104,"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":"Hausdorff dimension; Mathematics; Dimension (graph theory); Measure (data warehouse); Arithmetic; Curse of dimensionality; Set (abstract data type); Minkowski–Bouligand dimension; Discrete mathematics; Term (time); Effective dimension; Hausdorff measure; Combinatorics; Fractal dimension; Fractal; Computer science; Mathematical analysis; Statistics; Physics","authors":[{"name":"Izabella Łaba","is_ca":true},{"name":"Malabika Pramanik","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03083809091202373,"gpt":0.2988941495161116,"spread":0.2680560586040879,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001268383,0.0007873414,0.001034311,0.005315517,0.003153132,0.004803015,0.001027214,0.001330648,0.006913025],"category_scores_gemma":[0.007782524,0.0005110009,0.001084902,0.002783046,0.006474581,0.007408278,0.002936047,0.002952912,0.0006127873],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002086562,"about_ca_system_score_gemma":0.0006291869,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009601383,"about_ca_topic_score_gemma":0.0006607046,"domain_scores_codex":[0.9990956,0.0002074779,0.00006261058,0.0001665419,0.0003070564,0.0001607679],"domain_scores_gemma":[0.996551,0.002078877,0.0003815044,0.0002970915,0.0003611222,0.000330322],"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":[0.000008889513,0.000003045509,0.00004952421,0.00001002562,0.000001693938,0.00003400699,0.0001404728,0.0004496738,0.0001343063,0.997942,0.0001507464,0.001075517],"study_design_scores_gemma":[0.000007275424,0.000006790805,0.00008692056,0.00000991601,0.000003701725,0.00006541322,0.00006150233,0.001578561,0.0001225069,0.9966454,0.001404495,0.00000751008],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.639023,0.004653107,0.2023803,0.004563299,0.0009518185,0.0000861421,0.000452918,0.0003806978,0.1475088],"genre_scores_gemma":[0.9611776,0.001138278,0.02060438,0.0002700825,0.0005612487,0.00009268295,0.0001530293,0.00006302659,0.01593976],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006913025,"threshold_uncertainty_score":0.02312642,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2049851780","doi":"10.1007/s00039-008-0670-y","title":"Fine Properties of the Integrated Density of States and a Quantitative Separation Property of the Dirichlet Eigenvalues","year":2008,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":104,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Omega; Combinatorics; Mathematics; Dirichlet boundary condition; Dirichlet distribution; Eigenvalues and eigenvectors; Boundary (topology); Physics; Mathematical analysis; Boundary value problem; Quantum mechanics","authors":[{"name":"Michael Goldstein","is_ca":true},{"name":"Wilhelm Schlag","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06920975344311536,"gpt":0.2766192709463373,"spread":0.207409517503222,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002115631,0.0006547837,0.0008188928,0.002018203,0.001090137,0.002849209,0.001322865,0.001538037,0.006005266],"category_scores_gemma":[0.008216724,0.0006404207,0.0006848018,0.0007826724,0.00426054,0.006394662,0.002001491,0.002468839,0.0004554046],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000970129,"about_ca_system_score_gemma":0.0004179546,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004991626,"about_ca_topic_score_gemma":0.0003409575,"domain_scores_codex":[0.9992525,0.0001758069,0.00003338526,0.000189939,0.0002441019,0.0001043179],"domain_scores_gemma":[0.9961927,0.001934261,0.0004844733,0.0004572253,0.0003919846,0.0005392637],"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":[0.00001808286,0.00002084566,0.0002711011,0.00002642835,0.000008615375,0.00003629551,0.0000771632,0.003786029,0.002920423,0.9908407,0.0003444509,0.001649949],"study_design_scores_gemma":[0.000009025849,0.00001362833,0.0008486095,0.00000991564,0.000005865955,0.0001304068,0.00004335197,0.05644174,0.0008822347,0.9410661,0.000527794,0.00002136876],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2859176,0.001002483,0.6685736,0.00209521,0.0001852104,0.00004398436,0.0002854249,0.0002891165,0.04160741],"genre_scores_gemma":[0.9657347,0.0003261801,0.02628273,0.000294174,0.0003127661,0.00005921595,0.0001537276,0.0001231515,0.006713202],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006005266,"threshold_uncertainty_score":0.02008957,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2158129648","doi":"10.1007/s00039-015-0311-1","title":"Strong illposedness of the incompressible Euler equation in integer C m spaces","year":2015,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":91,"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":"Mathematics; Lipschitz continuity; Compressibility; Integer (computer science); Decoupling (probability); Mathematical analysis; Flow (mathematics); Nonlinear system; Euler equations; Euler's formula; Pure mathematics; Geometry; Physics","authors":[{"name":"Jean Bourgain","is_ca":false},{"name":"Dong Li","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1511409124921648,"gpt":0.3142828959836203,"spread":0.1631419834914555,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002017312,0.00188207,0.001207255,0.002815688,0.001303307,0.002710111,0.001677718,0.001624723,0.003613717],"category_scores_gemma":[0.007600875,0.0006412908,0.0009191139,0.0007459667,0.004229334,0.007035407,0.004254593,0.003492203,0.0002483603],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001665507,"about_ca_system_score_gemma":0.0007604253,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002125831,"about_ca_topic_score_gemma":0.001416826,"domain_scores_codex":[0.9990655,0.0003183121,0.00004610017,0.0001538163,0.000284112,0.000132164],"domain_scores_gemma":[0.9953773,0.001957759,0.0008913517,0.0002395728,0.0006732802,0.0008607164],"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":[0.00005314881,0.00003435671,0.0005853128,0.00006755866,0.00002395691,0.0002314353,0.000252859,0.009004366,0.002801486,0.9844308,0.0006331771,0.001881484],"study_design_scores_gemma":[0.00001855197,0.00004689771,0.0008688238,0.00002871484,0.00001568541,0.0001861264,0.0001458466,0.1586557,0.001147568,0.837704,0.001146975,0.00003498579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6264947,0.002300794,0.3102127,0.0042544,0.0005259259,0.00004336676,0.0002745808,0.0002383703,0.05565519],"genre_scores_gemma":[0.9690169,0.0006581544,0.01369704,0.0002906888,0.0003657129,0.00003163534,0.000195995,0.00009652536,0.01564735],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003613717,"threshold_uncertainty_score":0.01208907,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2060003483","doi":"10.1007/s00039-004-0455-x","title":"Geometric inequalities via a general comparison principle for interacting gases","year":2004,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":72,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Mathematics; Euclidean geometry; Applied mathematics; Nonlinear system; Type (biology); Mathematical proof; Probability measure; Convex geometry; Mathematical analysis; Pure mathematics; Regular polygon; Geometry; Convex optimization; Convex analysis","authors":[{"name":"Xiaosong Kang","is_ca":true},{"name":"Nassif Ghoussoub","is_ca":true},{"name":"Martial Agueh","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0711336595774575,"gpt":0.3238507576110883,"spread":0.2527170980336308,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003117374,0.001057659,0.001132502,0.002569461,0.001597314,0.002628662,0.002191835,0.002145663,0.007178663],"category_scores_gemma":[0.004674744,0.0005554571,0.001549114,0.001251093,0.004330164,0.008390917,0.004375586,0.004613959,0.0004316126],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002300808,"about_ca_system_score_gemma":0.0007528992,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009652978,"about_ca_topic_score_gemma":0.0009276377,"domain_scores_codex":[0.9987011,0.0005099219,0.0000431864,0.0002559023,0.0003464872,0.0001433943],"domain_scores_gemma":[0.9974725,0.001581197,0.0002596322,0.0002069601,0.0002524302,0.000227352],"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":[0.000004421904,0.000003224299,0.00002742494,0.00001086573,0.000004093897,0.000009686331,0.00001840486,0.0007776695,0.0001797249,0.9979454,0.0003241759,0.0006949097],"study_design_scores_gemma":[0.000003929412,0.000006162231,0.00007823535,0.000004677975,0.000003240885,0.00001707868,0.00001036625,0.006979045,0.00006840913,0.9917513,0.001073591,0.000004028595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.12126,0.003547698,0.7404464,0.007560172,0.0006402625,0.0000827423,0.0004113796,0.0002092098,0.1258422],"genre_scores_gemma":[0.8550456,0.002373118,0.1032768,0.00271308,0.001974316,0.0002732208,0.0004888324,0.00033842,0.03351663],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007178663,"threshold_uncertainty_score":0.02401501,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2033360875","doi":"10.1007/s00039-013-0210-2","title":"Geometry of Diffeomorphism Groups, Complete integrability and Geometric statistics","year":2013,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":67,"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":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Diffeomorphism; Isometry (Riemannian geometry); Mathematical analysis; Euler characteristic; Geometry; Metric space; Statistical manifold; Pure mathematics; Information geometry; Scalar curvature; Curvature","authors":[{"name":"Boris Khesin","is_ca":true},{"name":"Jonatan Lenells","is_ca":false},{"name":"Gerard Misiołek","is_ca":false},{"name":"Stephen C. Preston","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03069683717771471,"gpt":0.2354787646090221,"spread":0.2047819274313074,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001579356,0.001072006,0.001084484,0.002746446,0.001633204,0.003435548,0.001055388,0.001500797,0.003670025],"category_scores_gemma":[0.003966834,0.0004466478,0.0006454401,0.001517142,0.006208519,0.005529653,0.00185498,0.00223873,0.0002860209],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001676842,"about_ca_system_score_gemma":0.0008307165,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002095365,"about_ca_topic_score_gemma":0.001389969,"domain_scores_codex":[0.9994774,0.0002160016,0.00002527325,0.000109984,0.0001254321,0.00004586964],"domain_scores_gemma":[0.9984425,0.0006683529,0.0003091946,0.0001634988,0.0002093223,0.0002070656],"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":[0.000003772338,0.00000372776,0.00009040351,0.00000964442,0.000003296964,0.00001023082,0.00004409085,0.0005270588,0.00007933825,0.9979522,0.0002479383,0.00102845],"study_design_scores_gemma":[0.000002506996,0.000003316363,0.0001387641,0.00000286644,0.000001898242,0.00001775285,0.00002090877,0.00154028,0.00002961293,0.997459,0.000780525,0.000002588672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4628973,0.02038542,0.3890445,0.01410489,0.0006270303,0.00006620511,0.0006826149,0.0003090399,0.1118829],"genre_scores_gemma":[0.9632567,0.004185802,0.0166376,0.0005067224,0.001335506,0.00005736386,0.0002842585,0.00007601883,0.01366008],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003670025,"threshold_uncertainty_score":0.01227748,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1691063159","doi":"10.1007/s00039-002-8234-z","title":"Duistermaat?Heckman measures and moduli spaces of flat bundles over surfaces","year":2002,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":65,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Moduli space; Mathematics; Moduli; Hamiltonian (control theory); Pure mathematics; Group (periodic table); Mathematical analysis; Physics","authors":[{"name":"Anton Alekseev","is_ca":false},{"name":"Eckhard Meinrenken","is_ca":true},{"name":"Chris Woodward","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04454300886410198,"gpt":0.2547277130152443,"spread":0.2101847041511423,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001104249,0.0006983342,0.0007051532,0.002991601,0.002182098,0.004593063,0.0008240964,0.001490274,0.006633985],"category_scores_gemma":[0.002786813,0.0005748223,0.0005122049,0.001762689,0.00323404,0.00786634,0.001513869,0.002118871,0.0005336789],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002232571,"about_ca_system_score_gemma":0.0006960632,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002382981,"about_ca_topic_score_gemma":0.001487014,"domain_scores_codex":[0.9995485,0.0001121971,0.00002038887,0.00008736092,0.0001233332,0.000108251],"domain_scores_gemma":[0.9992367,0.0002349365,0.0001404691,0.0001050257,0.0001082722,0.0001746453],"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":[0.00001090455,0.000007110687,0.0001680686,0.000007024803,0.000003159377,0.00002482529,0.0001439417,0.0001692705,0.0001595204,0.9978307,0.0002955716,0.001179915],"study_design_scores_gemma":[0.00000516935,0.000005518616,0.0003107462,0.000006064656,0.000003587314,0.00004839564,0.000100627,0.001304825,0.0001552353,0.9968201,0.001232667,0.000007150772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.816245,0.004929053,0.04668937,0.008106354,0.0004668327,0.00003147838,0.000362228,0.0003226559,0.1228471],"genre_scores_gemma":[0.978312,0.0009650891,0.002925554,0.0001964522,0.0003525086,0.00001480194,0.00008927394,0.00003554101,0.0171087],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006633985,"threshold_uncertainty_score":0.02219296,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2062902318","doi":"10.1007/s00039-015-0314-y","title":"Cubulating hyperbolic free-by-cyclic groups: the general case","year":2015,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Automorphism; Rank (graph theory); Free group; Word (group theory); Combinatorics; Automorphism group; Cyclic group; Hyperbolic group; Cube (algebra); Group (periodic table); Hyperbolic manifold; Pure mathematics; Hyperbolic function; Mathematical analysis; Geometry; Physics","authors":[{"name":"Mark Hagen","is_ca":false},{"name":"Daniel T. Wise","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05730436691615438,"gpt":0.2797318217818451,"spread":0.2224274548656908,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006679249,0.0007024786,0.0006910719,0.00121943,0.001327072,0.002683508,0.001016803,0.001244146,0.009209169],"category_scores_gemma":[0.001908417,0.0002389362,0.0005105316,0.0006591383,0.002557205,0.003555145,0.002567045,0.001356873,0.0006917953],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009171452,"about_ca_system_score_gemma":0.0005529301,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002035456,"about_ca_topic_score_gemma":0.001674859,"domain_scores_codex":[0.9995146,0.000115778,0.00002046583,0.00007497648,0.0001271245,0.0001470877],"domain_scores_gemma":[0.9990879,0.0002320239,0.0001738186,0.0001709147,0.0001092403,0.0002261423],"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":[0.00001979826,0.000008958975,0.0001378423,0.00001137766,0.000003486651,0.00006086881,0.000108976,0.001254268,0.000326616,0.995778,0.0004572414,0.001832563],"study_design_scores_gemma":[0.00001445263,0.0000170498,0.0001406507,0.000008592981,0.000004698682,0.0001111873,0.000204709,0.01141949,0.000387785,0.9853533,0.002329009,0.00000910252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7756904,0.0006218644,0.09570302,0.002262429,0.0002463348,0.00007779045,0.0002796342,0.00018006,0.1249385],"genre_scores_gemma":[0.9679655,0.0002914696,0.009340254,0.0002457334,0.0001618568,0.00003379438,0.0001785751,0.00007154693,0.02171125],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009209169,"threshold_uncertainty_score":0.03080767,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2020604516","doi":"10.1007/s00039-006-0582-7","title":"Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker’s first limit formula","year":2006,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Holomorphic function; Factorization; Combinatorics; Genus; Riemann surface; Pure mathematics","authors":[{"name":"Andrew McIntyre","is_ca":true},{"name":"Leon A. Takhtajan","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02885378831948639,"gpt":0.253453182682053,"spread":0.2245993943625666,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002533497,0.001372086,0.001583308,0.004143228,0.0020667,0.004323754,0.002076121,0.00225724,0.00571724],"category_scores_gemma":[0.005755208,0.0007715946,0.001619661,0.001633181,0.004579706,0.007399034,0.002369804,0.003256245,0.001022265],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001924006,"about_ca_system_score_gemma":0.001031074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00195002,"about_ca_topic_score_gemma":0.00196335,"domain_scores_codex":[0.9991966,0.0002315427,0.00005640837,0.0001403401,0.0002403861,0.0001346932],"domain_scores_gemma":[0.9980209,0.0005790493,0.0002557753,0.0002444758,0.000419273,0.000480564],"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":[0.00001337174,0.00002391362,0.0001481907,0.0000201477,0.000004291665,0.0001092463,0.0001731836,0.000459057,0.0006831107,0.9960392,0.000423124,0.001903291],"study_design_scores_gemma":[0.000009000069,0.00001250333,0.0002447589,0.00001393149,0.000006154999,0.0001915319,0.00006253294,0.01001476,0.0002856989,0.9883612,0.0007786727,0.00001922989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6442353,0.002916036,0.2436341,0.003934703,0.001585701,0.00007388784,0.0001634596,0.0005222848,0.1029346],"genre_scores_gemma":[0.9400666,0.001067556,0.02918617,0.0007142886,0.0009351881,0.00004543134,0.0001339173,0.0002611529,0.02758981],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00571724,"threshold_uncertainty_score":0.01912612,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2123735966","doi":"10.1007/s00039-010-0082-7","title":"Hawking’s Local Rigidity Theorem Without Analyticity","year":2010,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":49,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Killing vector field; Uniqueness; Event horizon; Vector field; Rigidity (electromagnetism); Hawking; Pure mathematics; Mathematical analysis; Manifold (fluid mechanics); Einstein; Mathematical physics; Horizon; Geometry; Physics; Quantum mechanics","authors":[{"name":"Spyros Alexakis","is_ca":true},{"name":"Alexandru D. Ionescu","is_ca":false},{"name":"Sergiù Klainerman","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007026721995170669,"gpt":0.2137840646303155,"spread":0.2067573426351448,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001447355,0.001094423,0.0009973453,0.001876452,0.001854589,0.001851293,0.001572384,0.00176446,0.009178027],"category_scores_gemma":[0.002833326,0.0006701454,0.001240253,0.0008071316,0.005908635,0.00988055,0.003140811,0.003873265,0.0008911824],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009671085,"about_ca_system_score_gemma":0.0005232168,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009466485,"about_ca_topic_score_gemma":0.0006304068,"domain_scores_codex":[0.9993719,0.0001791813,0.00002635371,0.0001959457,0.0001487355,0.00007798956],"domain_scores_gemma":[0.998521,0.0006286308,0.0001400596,0.0003452562,0.0002324493,0.00013253],"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":[0.000003342838,0.000002481004,0.00002025231,0.00001204883,0.000003120637,0.00001290592,0.00003877399,0.0001224198,0.0001040862,0.998399,0.0005041935,0.000777457],"study_design_scores_gemma":[0.000002920161,0.000002965321,0.00006689426,0.000002792146,0.000002734529,0.00003192432,0.00001304967,0.0006168145,0.00008021273,0.998005,0.001170164,0.000004609216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1971077,0.004022826,0.410264,0.0175645,0.001560673,0.00006957645,0.0006704653,0.0007062741,0.3680341],"genre_scores_gemma":[0.9161118,0.001167714,0.0281704,0.002180642,0.001522041,0.00005364086,0.0002374799,0.0003305892,0.05022569],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009178027,"threshold_uncertainty_score":0.03070349,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2041307487","doi":"10.1007/s00039-011-0131-x","title":"Pants Decompositions of Random Surfaces","year":2011,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Moduli space; Genus; Euclidean geometry; Surface (topology); Combinatorics; Decomposition; Unit (ring theory); Space (punctuation); Pure mathematics; Property (philosophy); Hyperbolic geometry; Euclidean space; Upper and lower bounds; Hyperbolic space; Mathematical analysis; Geometry; Differential geometry","authors":[{"name":"Larry Guth","is_ca":true},{"name":"Hugo Parlier","is_ca":false},{"name":"Robert M. Young","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09027557610540642,"gpt":0.2627646826678784,"spread":0.172489106562472,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008757263,0.0006850754,0.001009082,0.004636478,0.001265454,0.002854822,0.0009560425,0.001179161,0.01249739],"category_scores_gemma":[0.002881618,0.0006534807,0.0009983006,0.00142882,0.002323068,0.003186523,0.001732608,0.00198736,0.001317558],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001155627,"about_ca_system_score_gemma":0.0003385313,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001195497,"about_ca_topic_score_gemma":0.001136794,"domain_scores_codex":[0.9992866,0.0001604648,0.00003252014,0.000143841,0.0002410264,0.0001356695],"domain_scores_gemma":[0.9987462,0.000360584,0.0002109121,0.0001754642,0.0002468608,0.0002601332],"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":[0.00002271679,0.000009944392,0.0002084494,0.00001434332,0.000005911112,0.00003722391,0.0001384876,0.0009645286,0.000466412,0.99353,0.001109206,0.003492843],"study_design_scores_gemma":[0.00001052011,0.00001463077,0.0005453434,0.00001084727,0.00000887056,0.0001006234,0.0001217849,0.01110637,0.0002536275,0.9839408,0.003877684,0.000008767241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5955082,0.001612549,0.2878726,0.002649892,0.0003611446,0.000111046,0.0008520059,0.0007516445,0.1102811],"genre_scores_gemma":[0.9189487,0.0007699726,0.03047516,0.0003498975,0.0003865726,0.00007981085,0.000799763,0.0004382929,0.04775189],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01249739,"threshold_uncertainty_score":0.04180795,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2057312011","doi":"10.1007/s00039-014-0305-4","title":"Lagrangian cobordism and Fukaya categories","year":2014,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Cobordism; Lagrangian; Morphism; Pure mathematics; Symplectic geometry; Functor; Symplectic manifold; Manifold (fluid mechanics); Algebra over a field","authors":[{"name":"Paul Biran","is_ca":false},{"name":"Octav Cornea","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01877958660457246,"gpt":0.2377589042591002,"spread":0.2189793176545278,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006926635,0.0008930125,0.0009750424,0.003452562,0.003160692,0.003379012,0.0009598223,0.001705732,0.00800173],"category_scores_gemma":[0.001552563,0.0005221457,0.0006229636,0.00169993,0.00513511,0.007518806,0.002743181,0.002231974,0.0005900141],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002150968,"about_ca_system_score_gemma":0.0006173209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002510281,"about_ca_topic_score_gemma":0.002462029,"domain_scores_codex":[0.9996153,0.00009038317,0.00001973072,0.00009407447,0.00008868362,0.00009179433],"domain_scores_gemma":[0.999365,0.0002062277,0.0001200554,0.00006473532,0.0001087046,0.0001352913],"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":[0.000005599205,0.000003256197,0.00008247808,0.000006201811,0.00000186251,0.00003329699,0.0001421982,0.00009215505,0.0001108638,0.9986601,0.0002472362,0.0006147088],"study_design_scores_gemma":[0.000004856543,0.000004656305,0.0001669848,0.000004099416,0.00000383357,0.00006004432,0.0001216688,0.0005394268,0.00006529926,0.9969472,0.002076659,0.000005314837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6326106,0.007136411,0.1120935,0.009558293,0.0008458347,0.00004158703,0.0004831503,0.0003180207,0.2369127],"genre_scores_gemma":[0.9670231,0.0009402672,0.005685903,0.0003621896,0.0004768891,0.00002962547,0.000145737,0.00005864238,0.02527765],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00800173,"threshold_uncertainty_score":0.02676839,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2079303608","doi":"10.1007/s00039-013-0225-8","title":"Fractal Weyl laws for asymptotically hyperbolic manifolds","year":2013,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Upper and lower bounds; Fractal; Mathematical analysis; Dimension (graph theory); Pure mathematics; Regular polygon; Quotient; Hyperbolic manifold; Function (biology); Fractal dimension; Kleinian group; Riemann zeta function; Multifractal system; Hyperbolic function; Geometry","authors":[{"name":"Kiril Datchev","is_ca":true},{"name":"Semyon Dyatlov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02879541190883058,"gpt":0.2580227804047188,"spread":0.2292273684958882,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007756079,0.0005943108,0.0007552864,0.00281322,0.00123145,0.002048521,0.0006997549,0.0009968465,0.00371035],"category_scores_gemma":[0.003004258,0.0002691128,0.0006268349,0.0007910301,0.003081835,0.003239874,0.001623626,0.001452637,0.0003173992],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001250856,"about_ca_system_score_gemma":0.0004116002,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001647441,"about_ca_topic_score_gemma":0.0009114397,"domain_scores_codex":[0.9996859,0.00007255874,0.00001830851,0.00005012183,0.0001172354,0.00005588541],"domain_scores_gemma":[0.9987009,0.0003495225,0.000293366,0.0001592839,0.0002050733,0.0002918023],"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":[0.000005976092,0.000006849586,0.0001421557,0.00001194621,0.000003526013,0.00002961987,0.0001535886,0.00110172,0.0005463446,0.9964337,0.0003712605,0.001193282],"study_design_scores_gemma":[0.000007764042,0.00001070938,0.0004349334,0.000007675082,0.000003094715,0.00005772094,0.00007747789,0.008341666,0.0001432712,0.9895164,0.001389211,0.000009967888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7788672,0.002313466,0.1452269,0.002647976,0.0002626409,0.00006924725,0.0002735201,0.0002986252,0.07004044],"genre_scores_gemma":[0.9750217,0.001029594,0.008943744,0.0002666141,0.0003769782,0.00005290948,0.0001526805,0.00008640132,0.01406946],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00371035,"threshold_uncertainty_score":0.01241237,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2067467106","doi":"10.1007/pl00001685","title":"An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension","year":2001,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":40,"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":"Mathematics; Dimension (graph theory); Minkowski space; Combinatorics; Minkowski–Bouligand dimension; Constant (computer programming); Packing dimension; Arithmetic progression; Hausdorff dimension; Discrete mathematics; Mathematical analysis; Geometry; Fractal dimension; Fractal","authors":[{"name":"Izabella Łaba","is_ca":true},{"name":"Terence Tao","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02531179768187286,"gpt":0.2783063204869674,"spread":0.2529945228050945,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003800002,0.002064128,0.002724721,0.006293193,0.003070237,0.004952425,0.004804261,0.002947191,0.007476075],"category_scores_gemma":[0.01162704,0.001121438,0.001897764,0.002409725,0.006022303,0.0103006,0.006842462,0.006983678,0.001134109],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002822265,"about_ca_system_score_gemma":0.0008404356,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0013788,"about_ca_topic_score_gemma":0.00152591,"domain_scores_codex":[0.9982489,0.000525336,0.00007762693,0.0003855818,0.0004758229,0.0002868645],"domain_scores_gemma":[0.9929817,0.004200649,0.00031039,0.001047369,0.0005792056,0.0008806675],"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":[0.0001535808,0.00003837265,0.0005539499,0.0001694505,0.0000327772,0.0000893705,0.000193871,0.005255933,0.002917397,0.9836309,0.002084069,0.00488043],"study_design_scores_gemma":[0.00001536362,0.00002835463,0.0006536192,0.00007562353,0.00004443402,0.000104086,0.00006652676,0.05166646,0.001941115,0.9422235,0.003112657,0.00006829945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3049116,0.009976549,0.5373214,0.006258981,0.001721221,0.0001149308,0.001108208,0.001608457,0.1369786],"genre_scores_gemma":[0.9275287,0.00194425,0.05708158,0.001145775,0.001254257,0.0001816179,0.0003852287,0.0005509049,0.009927664],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007476075,"threshold_uncertainty_score":0.02500993,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2096078138","doi":"10.1007/s00039-005-0525-8","title":"Coherence, local quasiconvexity, and the perimeter of 2-complexes","year":2005,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Quasiconvex function; Coherence (philosophical gambling strategy); Pure mathematics; Finitely-generated abelian group; Quadratic equation; Torsion (gastropod); Group (periodic table); Geometry; Regular polygon","authors":[{"name":"Jonathan P. McCammond","is_ca":false},{"name":"Daniel T. Wise","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02962540349964115,"gpt":0.2591041629888157,"spread":0.2294787594891745,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001288266,0.0004505717,0.0006909842,0.002683613,0.001151422,0.003287109,0.0005724817,0.000727936,0.001966058],"category_scores_gemma":[0.004387095,0.0005423385,0.0003599315,0.001495633,0.005374092,0.005585543,0.002165788,0.001264267,0.0001473489],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009823532,"about_ca_system_score_gemma":0.0002884268,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009508554,"about_ca_topic_score_gemma":0.0009223348,"domain_scores_codex":[0.9994233,0.0001993348,0.0000309998,0.0001363881,0.0001420914,0.00006794064],"domain_scores_gemma":[0.9961376,0.001908622,0.0008583646,0.0002362993,0.0003390698,0.0005202063],"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":[0.00004984164,0.00001176665,0.001349959,0.00003571025,0.00001316269,0.00007677783,0.0005726225,0.001965825,0.001517183,0.9900378,0.0004861837,0.003883186],"study_design_scores_gemma":[0.00001774298,0.00003050315,0.003138016,0.00001359204,0.00001112339,0.000155648,0.0003934763,0.008862539,0.0004562026,0.9848567,0.002048634,0.00001566954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9071981,0.001797894,0.06679359,0.001532731,0.00004522179,0.00001831679,0.0001488795,0.00006156442,0.02240375],"genre_scores_gemma":[0.9924901,0.0004442054,0.004096138,0.00007005076,0.00008315157,0.00001535618,0.00009740622,0.00002366247,0.002679953],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003287109,"threshold_uncertainty_score":0.007127523,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2042940983","doi":"10.1007/s00039-012-0154-y","title":"On the Critical Line of Convex Co-Compact Hyperbolic Surfaces","year":2012,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Fuchsian group; Conjecture; Upper and lower bounds; Backslash; Hyperbolic geometry; Combinatorics; Regular polygon; Convex body; Kleinian group; Mathematical analysis; Compact space; Lattice (music); Omega; Convex hull; Geometry; Differential geometry","authors":[{"name":"Dmitry Jakobson","is_ca":true},{"name":"Frédéric Naud","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06798706020859939,"gpt":0.3226392893095558,"spread":0.2546522291009564,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000422961,0.0009837839,0.0009129681,0.004166964,0.001743267,0.003140873,0.001024966,0.001300236,0.007518156],"category_scores_gemma":[0.003053874,0.000358498,0.000358684,0.0009953282,0.002867904,0.002509315,0.001543294,0.001500766,0.0007701687],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001959308,"about_ca_system_score_gemma":0.0004380435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002356871,"about_ca_topic_score_gemma":0.001106432,"domain_scores_codex":[0.999723,0.00006825168,0.0000097933,0.00004862947,0.00008357849,0.00006680536],"domain_scores_gemma":[0.9986206,0.000385858,0.0003002057,0.0000646863,0.0002316395,0.0003969335],"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":[0.0001358915,0.0000393607,0.0008407069,0.00006407934,0.00001801241,0.0003470647,0.0004016576,0.004176019,0.003029667,0.9844294,0.001794089,0.004724098],"study_design_scores_gemma":[0.00007286883,0.00007091685,0.002040643,0.00005728438,0.000014165,0.0004943057,0.000466948,0.04468599,0.001170539,0.9459455,0.004949151,0.00003168248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8902989,0.001685369,0.03702605,0.002222474,0.0001861898,0.00005645854,0.0002643567,0.0002213481,0.06803895],"genre_scores_gemma":[0.9859865,0.0004711788,0.003501489,0.0001188464,0.0002143912,0.00002933471,0.0002030299,0.00006470722,0.009410551],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007518156,"threshold_uncertainty_score":0.02515072,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2094424829","doi":"10.1007/s00039-004-0474-7","title":"Volume, diameter and the minimal mass of a stationary 1-cycle","year":2004,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Bounded function; Combinatorics; Riemannian manifold; Manifold (fluid mechanics); RADIUS; Minimal volume; Volume (thermodynamics); Ricci curvature; Mathematical analysis; Mathematical physics; Physics; Geometry; Hermitian manifold; Quantum mechanics; Curvature","authors":[{"name":"A. Nabutovsky","is_ca":true},{"name":"Regina Rotman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01495889414669828,"gpt":0.2239255405178196,"spread":0.2089666463711213,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007284221,0.0007066116,0.001014856,0.003623572,0.00165299,0.003002408,0.001193664,0.00125195,0.003225276],"category_scores_gemma":[0.003925772,0.0005220108,0.0004369204,0.001299501,0.003575189,0.003773443,0.001782298,0.0009747173,0.0002716843],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001408441,"about_ca_system_score_gemma":0.0004455256,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009727529,"about_ca_topic_score_gemma":0.00071544,"domain_scores_codex":[0.9997645,0.00005141509,0.00001176537,0.00006964545,0.00005787241,0.00004472813],"domain_scores_gemma":[0.9981865,0.0007960186,0.0003423468,0.00007097045,0.0001383941,0.000465688],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00009769193,0.00001731347,0.001541755,0.00005706118,0.00001412037,0.00008106518,0.0003165052,0.004411519,0.003160546,0.9846961,0.0008118274,0.004794352],"study_design_scores_gemma":[0.00002105503,0.00005213029,0.002455537,0.0000253193,0.00002484253,0.0002585752,0.0001832417,0.01922157,0.001461302,0.9740403,0.002234218,0.0000219312],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9353262,0.001711416,0.03448615,0.001390901,0.00009190827,0.00001949884,0.0002376114,0.00010555,0.02663075],"genre_scores_gemma":[0.9903768,0.0005652783,0.004186304,0.00006405349,0.0002310611,0.00003204648,0.000146937,0.00004245949,0.00435511],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003623572,"threshold_uncertainty_score":0.01078957,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2951500970","doi":"10.1007/s00039-019-00490-8","title":"Long-time existence for multi-dimensional periodic water waves","year":2019,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Ocean Waves and Remote Sensing","field":"Earth and Planetary Sciences","cited_by":32,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Symmetrization; Quadratic equation; Smoothing; Fourier transform; Order (exchange); Surface (topology); Fourier analysis; Fourier series","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.0176120870812009,"gpt":0.200834603124226,"spread":0.1832225160430251,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002585272,0.0008737377,0.0006058897,0.002024571,0.0009443091,0.001406666,0.001112728,0.001386648,0.002131077],"category_scores_gemma":[0.01431161,0.0007184836,0.0007828723,0.0007148219,0.002919597,0.004594605,0.002673623,0.002515426,0.0002111174],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007790597,"about_ca_system_score_gemma":0.0005940715,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00151583,"about_ca_topic_score_gemma":0.001485433,"domain_scores_codex":[0.999532,0.0001694333,0.00002393034,0.00008664708,0.0001054618,0.00008261286],"domain_scores_gemma":[0.9890953,0.007209435,0.001274618,0.0004192886,0.001173941,0.0008274447],"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":[0.0001179813,0.00007716702,0.00388082,0.0003196005,0.0001161885,0.0004091163,0.000680532,0.06260975,0.008404911,0.9044698,0.002519704,0.01639438],"study_design_scores_gemma":[0.00001323443,0.00003499404,0.001998782,0.00003693242,0.0000278017,0.0001462654,0.0001549293,0.6098805,0.0007861336,0.385986,0.0008984822,0.00003593915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3591006,0.003789401,0.6183801,0.003596355,0.0003501855,0.00003118765,0.0001868347,0.0002092206,0.01435614],"genre_scores_gemma":[0.9610261,0.001319139,0.02470896,0.0002361948,0.0003353584,0.00006338311,0.0002224349,0.0001241297,0.01196438],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002585272,"threshold_uncertainty_score":0.01367241,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2037507484","doi":"10.1007/s00039-014-0309-0","title":"Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks","year":2014,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Rotation number; Conjecture; Irrational number; Rigidity (electromagnetism); Rotation (mathematics); Renormalization; Pure mathematics; Fixed point; Combinatorics; Mathematical analysis; Mathematical physics; Geometry; Physics","authors":[{"name":"Konstantin Khanin","is_ca":true},{"name":"Saša Kocić","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01554718198556974,"gpt":0.230225850324342,"spread":0.2146786683387722,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002027709,0.0009646436,0.001404899,0.002914749,0.00370117,0.003091054,0.001846564,0.004173107,0.007512209],"category_scores_gemma":[0.005983914,0.0006917245,0.001740954,0.001355113,0.006337705,0.009043172,0.003162287,0.003637353,0.0006020436],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001635118,"about_ca_system_score_gemma":0.0006940035,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001244563,"about_ca_topic_score_gemma":0.0007365567,"domain_scores_codex":[0.9989502,0.0003198558,0.00005311367,0.0002385924,0.000280402,0.0001578189],"domain_scores_gemma":[0.9970241,0.001245341,0.0005475652,0.0005632758,0.0002712646,0.0003484179],"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":[0.00002371705,0.000009719478,0.0001076922,0.00001886092,0.000006222672,0.00004206171,0.0001177953,0.0006075361,0.0003903951,0.9972357,0.0004795325,0.0009608048],"study_design_scores_gemma":[0.00001490041,0.00001355412,0.0003415025,0.000007227459,0.000005582562,0.00006338164,0.00005577701,0.0029825,0.0001446199,0.995331,0.001027768,0.00001214006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7118446,0.003721951,0.1292735,0.01464742,0.0009392992,0.0000852802,0.0004086376,0.0005335278,0.1385458],"genre_scores_gemma":[0.9712682,0.0007268716,0.01129458,0.0007478987,0.0009574185,0.00006536001,0.0002722965,0.00008706506,0.01458041],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007512209,"threshold_uncertainty_score":0.02513087,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1974664779","doi":"10.1007/s00039-015-0319-6","title":"Asymptotically conical Calabi–Yau metrics on quasi-projective varieties","year":2015,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Tangent bundle; Orbifold; Divisor (algebraic geometry); Combinatorics; Kähler manifold; Calabi–Yau manifold; Tangent cone; Codimension; Quadric; Holonomy; Mathematical analysis; Pure mathematics; Tangent; Geometry; Tangent space","authors":[{"name":"Ronan J. Conlon","is_ca":true},{"name":"Hans‐Joachim Hein","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1116137887824874,"gpt":0.2987535592181827,"spread":0.1871397704356953,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001159652,0.001471583,0.001153941,0.005483782,0.003298755,0.004991801,0.001776882,0.002564348,0.008194674],"category_scores_gemma":[0.00349079,0.0008733798,0.0006056334,0.002246556,0.004757513,0.006304768,0.003038174,0.0023835,0.0006817884],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003453383,"about_ca_system_score_gemma":0.001087206,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003365331,"about_ca_topic_score_gemma":0.003567843,"domain_scores_codex":[0.9990987,0.0002355903,0.00005173481,0.0001567221,0.0002879293,0.0001694019],"domain_scores_gemma":[0.9983187,0.0002976611,0.0003853858,0.0001516357,0.0003109099,0.0005358349],"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":[0.00001840136,0.00001157202,0.0003104028,0.00001369548,0.000004180878,0.0000557584,0.0001117927,0.0006613443,0.0004225032,0.996909,0.0004692942,0.001012174],"study_design_scores_gemma":[0.00001707407,0.00002620853,0.001512109,0.00001651489,0.000007581923,0.000190877,0.0002331752,0.007633694,0.0002534775,0.9887058,0.001381572,0.00002213151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8551474,0.001794058,0.05786329,0.004237725,0.0004873323,0.00006539119,0.0003903971,0.00035606,0.07965832],"genre_scores_gemma":[0.9803351,0.0006473692,0.005413999,0.0003420884,0.0004463277,0.00004258695,0.0003030931,0.00009529955,0.01237412],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008194674,"threshold_uncertainty_score":0.02741396,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2008334247","doi":"10.1007/s00039-014-0287-2","title":"Symmetric Monge–Kantorovich problems and polar decompositions of vector fields","year":2014,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Lethbridge; University of British Columbia","funders":"","keywords":"Mathematics; Bounded function; Combinatorics; Monotone polygon; Probability measure; Measure (data warehouse); Vector field; Antisymmetric relation; Discrete mathematics; Mathematical analysis","authors":[{"name":"Nassif Ghoussoub","is_ca":true},{"name":"Abbas Moameni","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02785925422722802,"gpt":0.2364809346461149,"spread":0.2086216804188868,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002386529,0.001129177,0.001206422,0.002455259,0.001771856,0.003869783,0.001711052,0.001858313,0.005697262],"category_scores_gemma":[0.005497449,0.0006723157,0.0008844079,0.001635002,0.005238772,0.00804622,0.00255778,0.003730279,0.0007910614],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001592815,"about_ca_system_score_gemma":0.001247188,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001284735,"about_ca_topic_score_gemma":0.0009551771,"domain_scores_codex":[0.9991249,0.0004374486,0.00003719916,0.000114653,0.0001820976,0.0001036552],"domain_scores_gemma":[0.9979591,0.0009458362,0.0003212753,0.000197171,0.0002755537,0.0003009858],"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":[0.000008299107,0.000006115003,0.00003331679,0.00001345871,0.000003151729,0.000007061548,0.00004723157,0.0009767442,0.00007971973,0.9971443,0.0004069954,0.001273662],"study_design_scores_gemma":[0.000004443261,0.000003297288,0.00003068392,0.000004154685,0.000001048087,0.00001044241,0.00003260405,0.004246428,0.00003524309,0.9952047,0.000423712,0.000003264388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2392896,0.003992569,0.6488041,0.00643461,0.0006148752,0.00009297482,0.0004598185,0.0001470969,0.1001643],"genre_scores_gemma":[0.8720132,0.003848432,0.07784531,0.0007317014,0.0009497463,0.000154011,0.0006963946,0.0002101468,0.04355114],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005697262,"threshold_uncertainty_score":0.01905918,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1997496030","doi":"10.1007/s00039-009-0002-x","title":"An Embedding Theorem for Automorphism Groups of Cartan Geometries","year":2009,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Embedding; Automorphism; Inner automorphism; SO(8); Automorphism group; Rank (graph theory); Outer automorphism group; Group (periodic table); Alternating group; Lie group; Type (biology); Pure mathematics; Combinatorics","authors":[{"name":"Uri Bader","is_ca":true},{"name":"Charles Frances","is_ca":false},{"name":"Karin Melnick","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0253519669369151,"gpt":0.3011613079052305,"spread":0.2758093409683154,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008208636,0.0005889051,0.0005246926,0.001272952,0.001299056,0.001765701,0.0006582569,0.0008767275,0.006176068],"category_scores_gemma":[0.001449799,0.0003622206,0.0008266888,0.0007894333,0.002176272,0.005218801,0.002413725,0.002371467,0.0007790442],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006486872,"about_ca_system_score_gemma":0.0002788694,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006493711,"about_ca_topic_score_gemma":0.0004903474,"domain_scores_codex":[0.9996353,0.00009498771,0.00001752865,0.0001021231,0.00009049444,0.00005951484],"domain_scores_gemma":[0.9992974,0.0002794032,0.00007588988,0.0001108379,0.0001170505,0.000119404],"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":[0.00000883023,0.000009087312,0.0001067348,0.00001575135,0.000004161644,0.00003000247,0.0002022883,0.0001968709,0.0004342425,0.9949276,0.0007599666,0.003304412],"study_design_scores_gemma":[0.000005478229,0.0000146103,0.0002468676,0.000006236051,0.00000517952,0.00007434241,0.00006775469,0.001333164,0.0002457717,0.9917576,0.006237444,0.000005508767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3449819,0.003476356,0.3813908,0.005960742,0.001159534,0.0000786911,0.0006500895,0.0005821404,0.2617197],"genre_scores_gemma":[0.924949,0.001454635,0.03373762,0.000951329,0.001042628,0.00007884233,0.0004533637,0.00020862,0.03712394],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006176068,"threshold_uncertainty_score":0.02066094,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2591601825","doi":"10.1007/s00039-015-0320-0","title":"Arcs intersecting at most once","year":2015,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pairwise comparison; Cardinality (data modeling); Combinatorics; Euler characteristic; Set (abstract data type); Bounded function; Surface (topology); Simple (philosophy); Polynomial; Boundary (topology); Euler's formula; Jordan curve theorem; Discrete mathematics; Geometry; Mathematical analysis","authors":[{"name":"Piotr Przytycki","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08443067350045641,"gpt":0.2840017176295363,"spread":0.1995710441290799,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005632162,0.0008295177,0.001098765,0.001478077,0.00153845,0.001504012,0.001175521,0.0005949124,0.00484039],"category_scores_gemma":[0.004703671,0.0005767373,0.001071094,0.0009257892,0.002052859,0.002811434,0.003353662,0.001832912,0.0007040707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008790445,"about_ca_system_score_gemma":0.0005022522,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007832775,"about_ca_topic_score_gemma":0.0008169042,"domain_scores_codex":[0.9984383,0.0001710693,0.0001111482,0.0004719451,0.0005280659,0.0002793659],"domain_scores_gemma":[0.9946585,0.001927104,0.001090921,0.001035149,0.0006095645,0.0006787585],"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":[0.0009272277,0.0001478231,0.01853617,0.0006650421,0.0001863012,0.002093167,0.001242734,0.06011648,0.07924356,0.7595872,0.003804807,0.07344947],"study_design_scores_gemma":[0.00004716116,0.0002711418,0.01541306,0.0001867285,0.0001575657,0.005418544,0.0009297217,0.1648895,0.07998765,0.7017042,0.03086703,0.0001276556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7713725,0.0006220431,0.1859492,0.0003846536,0.0001276024,0.00004853681,0.0007459038,0.0003681238,0.04038136],"genre_scores_gemma":[0.949412,0.0003793289,0.04287989,0.00006376001,0.00009474816,0.00006298744,0.0006890575,0.0001508445,0.006267371],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00484039,"threshold_uncertainty_score":0.01619273,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1974828582","doi":"10.1007/s00039-014-0264-9","title":"Lipschitz Homotopy Groups of the Heisenberg Groups","year":2014,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":27,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Lipschitz continuity; Mathematics; Heisenberg group; Homotopy; Space (punctuation); Homotopy group; Tree (set theory); Pure mathematics; Group (periodic table); Combinatorics; Mathematical analysis; Physics","authors":[{"name":"Stefan Wenger","is_ca":false},{"name":"Robert M. Young","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009810489104378487,"gpt":0.1887589301889867,"spread":0.1789484410846083,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001032215,0.0005833849,0.000604582,0.002775407,0.001153428,0.002736574,0.0007607743,0.001013549,0.004366815],"category_scores_gemma":[0.005423825,0.0004147864,0.000524101,0.001069451,0.003296409,0.005191023,0.002067117,0.001747661,0.0004981276],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001150417,"about_ca_system_score_gemma":0.0007304762,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001216581,"about_ca_topic_score_gemma":0.0007938218,"domain_scores_codex":[0.9993905,0.0001704094,0.00003124477,0.0001315253,0.0002030383,0.00007331553],"domain_scores_gemma":[0.9974834,0.00105693,0.0004146018,0.0003400672,0.0003091263,0.0003958524],"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":[0.00002950524,0.00001266599,0.0004847413,0.00001739825,0.00001119669,0.00006150176,0.0002252829,0.002685981,0.001133866,0.98663,0.0003806284,0.008327207],"study_design_scores_gemma":[0.000005822532,0.00001706208,0.0005391221,0.00000758543,0.000006312257,0.00006135483,0.0000902643,0.01144297,0.0006927015,0.9849703,0.002154398,0.00001207372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6105416,0.001667039,0.3428187,0.002292124,0.0001779786,0.00006209124,0.0003336116,0.0002589213,0.04184803],"genre_scores_gemma":[0.9530051,0.0009273448,0.02570782,0.0001931791,0.0002267947,0.00005041513,0.0001862156,0.00008404128,0.01961919],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004366815,"threshold_uncertainty_score":0.01460844,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962788967","doi":"10.1007/s00039-019-00502-7","title":"Geodesic Currents and Counting Problems","year":2019,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Geodesic; Homogeneous; Surface (topology); Sigma; Lattice (music); Metric space; Combinatorics; Space (punctuation); Metric (unit); Pure mathematics; Mathematical analysis; Geometry; Physics; Quantum mechanics","authors":[{"name":"Kasra Rafi","is_ca":true},{"name":"Juan Souto","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03110536343276537,"gpt":0.2542443407741194,"spread":0.2231389773413541,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00198268,0.001097477,0.001468937,0.004430029,0.002596773,0.00575622,0.001549317,0.003017422,0.00940566],"category_scores_gemma":[0.005725917,0.0005405765,0.0009733142,0.003184033,0.004773883,0.01268793,0.002786295,0.003172188,0.001024721],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002193022,"about_ca_system_score_gemma":0.0009604681,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001005883,"about_ca_topic_score_gemma":0.0005547857,"domain_scores_codex":[0.9991897,0.0002831016,0.00006367949,0.0001569193,0.0002066893,0.00009994201],"domain_scores_gemma":[0.9979023,0.001054405,0.0002462451,0.0001948126,0.0003539868,0.0002482678],"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":[0.00000215623,0.000003610311,0.00002428699,0.000008740158,0.000001357457,0.000008640507,0.00004105955,0.0001049858,0.0000310373,0.9985331,0.0004581664,0.0007828749],"study_design_scores_gemma":[0.000002268687,0.000001421822,0.00002488487,0.000004276693,0.000001423729,0.00002270647,0.00002388232,0.0006033593,0.00001849298,0.9981706,0.001124554,0.000002094074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3310764,0.0196711,0.240479,0.02920709,0.002752803,0.0001094622,0.0006305689,0.0004259589,0.3756477],"genre_scores_gemma":[0.87081,0.006328513,0.03011862,0.001811165,0.003132099,0.0001580072,0.0006400618,0.0002535339,0.08674785],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00940566,"threshold_uncertainty_score":0.03146511,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2052824162","doi":"10.1007/s00039-013-0240-9","title":"On the Sharpness of Mockenhaupt’s Restriction Theorem","year":2013,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":24,"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":"Mathematics; Range (aeronautics); Pure mathematics; Combinatorics; Discrete mathematics; Materials science","authors":[{"name":"Kyle Hambrook","is_ca":true},{"name":"Izabella Łaba","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03255961629771692,"gpt":0.2438955931756328,"spread":0.2113359768779159,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003084692,0.0006325998,0.001227255,0.00250951,0.002001086,0.002343989,0.001561482,0.001753221,0.006825623],"category_scores_gemma":[0.01223832,0.0004926012,0.001315866,0.001386773,0.006895219,0.007558174,0.004339186,0.004680821,0.0008243455],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0013224,"about_ca_system_score_gemma":0.0005924547,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001346171,"about_ca_topic_score_gemma":0.0005914211,"domain_scores_codex":[0.9989675,0.0003495865,0.00004772472,0.0002501259,0.000242051,0.0001429254],"domain_scores_gemma":[0.9943947,0.003898962,0.000303977,0.0006713325,0.0004483598,0.0002828196],"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":[0.00002008895,0.000007341021,0.0001447184,0.0000310744,0.000007375012,0.00004345797,0.0001137353,0.000528619,0.0002909438,0.9949368,0.001188637,0.002687214],"study_design_scores_gemma":[0.0000110445,0.000009452579,0.0002932227,0.00001360334,0.000005659793,0.0000719044,0.00003091137,0.002411279,0.0001693807,0.9935716,0.003402109,0.000009831846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2362085,0.01351501,0.3324581,0.02624994,0.001295411,0.00008735244,0.0007793379,0.0005662255,0.3888401],"genre_scores_gemma":[0.9321995,0.003495228,0.03120962,0.002539684,0.001170319,0.00009196525,0.0003090757,0.0002180952,0.02876653],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006825623,"threshold_uncertainty_score":0.022834,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1976667512","doi":"10.1007/s00039-001-8231-7","title":"Geometry of families of random projections of symmetric convex bodies","year":2001,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Convex body; Regular polygon; Combinatorics; Euclidean geometry; Dimension (graph theory); Geometry; Mixed volume; Convex geometry; Mathematical analysis; Convex set; Convex hull; Convex optimization","authors":[{"name":"Piotr Mankiewicz","is_ca":false},{"name":"Nicole Tomczak-Jaegermann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04388516778755391,"gpt":0.2773499614221049,"spread":0.233464793634551,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002919984,0.001242124,0.00183366,0.003971249,0.001834188,0.004988848,0.002617893,0.001760126,0.005784805],"category_scores_gemma":[0.01140169,0.001613067,0.001959712,0.00175971,0.005118756,0.005577212,0.003737138,0.002803563,0.0005143856],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00298354,"about_ca_system_score_gemma":0.001039379,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002367772,"about_ca_topic_score_gemma":0.001195419,"domain_scores_codex":[0.9974713,0.0009450074,0.0001052078,0.0004616033,0.0007631531,0.0002536962],"domain_scores_gemma":[0.990052,0.005046169,0.00186188,0.0005124286,0.001251397,0.001276039],"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":[0.00002503709,0.00001231706,0.0003318279,0.00002350735,0.00002079333,0.00005219652,0.0001067326,0.005800291,0.0003288678,0.9912683,0.0004342914,0.001595835],"study_design_scores_gemma":[0.00002271184,0.00003703282,0.0009275732,0.00001964272,0.00001333193,0.0001799145,0.0001246954,0.06070397,0.00035129,0.9363978,0.001198903,0.00002308664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.357651,0.001215204,0.6148217,0.001966065,0.0001140688,0.0001218455,0.0009330531,0.0002087742,0.0229683],"genre_scores_gemma":[0.9428076,0.001286028,0.04409821,0.0002580494,0.0002690533,0.0002448112,0.00100557,0.0001241547,0.009906564],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005784805,"threshold_uncertainty_score":0.02164721,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2086833994","doi":"10.1007/s00039-012-0161-z","title":"The rate of convergence of the Walk on Spheres Algorithm","year":2012,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":22,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Rate of convergence; Convergence (economics); SPHERES; Brownian motion; Domain (mathematical analysis); Characterization (materials science); Normal convergence; Algorithm; Compact convergence; Mathematical analysis; Computer science; Statistics; Key (lock)","authors":[{"name":"Ilia Binder","is_ca":true},{"name":"Mark Braverman","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01443280978715939,"gpt":0.2088853729340941,"spread":0.1944525631469347,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01013791,0.001160076,0.001816557,0.003362099,0.001854097,0.00396756,0.003779833,0.003283209,0.01050739],"category_scores_gemma":[0.07866146,0.0007674734,0.001409634,0.002091896,0.004791205,0.00808381,0.004040412,0.003858407,0.00183161],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002241922,"about_ca_system_score_gemma":0.002372223,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002473539,"about_ca_topic_score_gemma":0.001289921,"domain_scores_codex":[0.9956002,0.002054942,0.0002014519,0.0006050509,0.0009720164,0.0005663177],"domain_scores_gemma":[0.9382245,0.04614221,0.001931306,0.004830597,0.006213141,0.002658243],"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":[0.0005405255,0.00008040946,0.00281403,0.0003040018,0.0001135081,0.0001259823,0.0004104774,0.09362401,0.002791249,0.8665663,0.005633459,0.02699602],"study_design_scores_gemma":[0.00008446442,0.0001660803,0.001075689,0.0001104549,0.00005846747,0.0001883658,0.000136935,0.5907099,0.002612356,0.4012169,0.003575574,0.00006476488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1987374,0.003988481,0.7465229,0.004589821,0.0006673067,0.0002480559,0.0006207632,0.001216791,0.04340848],"genre_scores_gemma":[0.8396422,0.003331191,0.1265076,0.0009299252,0.000688669,0.0006757938,0.001015069,0.001214753,0.02599489],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01050739,"threshold_uncertainty_score":0.05361503,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2066122865","doi":"10.1007/s00039-006-0587-2","title":"On soliton dynamics in nonlinear schrödinger equations","year":2006,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Soliton; Dissipative system; Dissipative soliton; Nonlinear system; Mathematics; Momentum (technical analysis); Conservation law; Equations of motion; Infinity; Classical mechanics; Space (punctuation); Physics; Mathematical physics; Mathematical analysis; Quantum mechanics","authors":[{"name":"Zhou Gang","is_ca":true},{"name":"Israel Michael Sigal","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02693034466645082,"gpt":0.2737850988804674,"spread":0.2468547542140166,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00205901,0.001192587,0.001295123,0.002346876,0.001896366,0.002788089,0.001337566,0.002323844,0.004778686],"category_scores_gemma":[0.004243956,0.0005202388,0.0009141366,0.001743789,0.003784456,0.004993042,0.002360486,0.002175051,0.0005683386],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001651697,"about_ca_system_score_gemma":0.00105523,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002665567,"about_ca_topic_score_gemma":0.001710596,"domain_scores_codex":[0.9995298,0.0002202358,0.00002761953,0.00004599921,0.0001232504,0.00005311232],"domain_scores_gemma":[0.9987205,0.0006085875,0.0001401458,0.00008615898,0.0002586956,0.0001858576],"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":[0.00001503017,0.00002044175,0.0001263125,0.00004736866,0.000009461922,0.00007109115,0.0002330865,0.004012129,0.0008430227,0.9910438,0.001268066,0.002310051],"study_design_scores_gemma":[0.00001299907,0.00001347437,0.0001836821,0.00001973982,0.000004348226,0.00005821692,0.00006612884,0.03021798,0.0001127391,0.967804,0.001492382,0.00001419138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3729194,0.01580083,0.3941962,0.02249098,0.004128239,0.0001607647,0.0004123555,0.0004243175,0.189467],"genre_scores_gemma":[0.8939075,0.01094424,0.03387837,0.002009305,0.004159189,0.0002099253,0.0004323823,0.0002989046,0.05416008],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004778686,"threshold_uncertainty_score":0.01598626,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004323320","doi":"10.1007/s00039-009-0007-5","title":"The Urysohn Sphere Is Oscillation Stable","year":2009,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; University of Calgary","keywords":"Mathematics; Countable set; Context (archaeology); Metric space; Oscillation (cell signaling); Space (punctuation); Urysohn and completely Hausdorff spaces; Pure mathematics; Mathematical analysis; Computer science","authors":[{"name":"Lionel Nguyen Van Thé","is_ca":false},{"name":"Norbert Sauer","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02408093252686704,"gpt":0.2694997455220434,"spread":0.2454188129951764,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003906737,0.0007741923,0.001126401,0.001618544,0.001711333,0.002170912,0.0006895136,0.0008408694,0.005305369],"category_scores_gemma":[0.001287689,0.0002871644,0.000523166,0.0006726662,0.002874315,0.001774705,0.001848004,0.001134554,0.0009405727],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008232547,"about_ca_system_score_gemma":0.0005545103,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001946819,"about_ca_topic_score_gemma":0.0008089164,"domain_scores_codex":[0.9996929,0.00005411856,0.00001330962,0.00009176356,0.00009796952,0.00004991768],"domain_scores_gemma":[0.9994692,0.0001293384,0.00009825015,0.00004655411,0.0001282631,0.0001282786],"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":[0.00009378599,0.000008262938,0.0003174446,0.00003424493,0.00001493013,0.0001073647,0.0002474542,0.001435447,0.002591729,0.9869812,0.001632971,0.006535085],"study_design_scores_gemma":[0.00003940431,0.00005734583,0.000975868,0.00001304964,0.00001168067,0.0002069363,0.000205111,0.01451924,0.001315259,0.9746144,0.008018488,0.00002315649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7137661,0.001481173,0.1215519,0.002778884,0.0007764644,0.00006819473,0.0004992581,0.0004513715,0.1586267],"genre_scores_gemma":[0.964411,0.0005731846,0.008947226,0.0003042653,0.0003878621,0.00004701544,0.0002797581,0.0001171797,0.02493244],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005305369,"threshold_uncertainty_score":0.01774824,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2023988006","doi":"10.1007/s00039-003-0429-4","title":"Low regularity solutions for the Kadomtsev-Petviashvili I equation","year":2003,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Uniqueness; Space (punctuation); Kadomtsev–Petviashvili equation; Intersection (aeronautics); Mathematical analysis; Pure mathematics; Partial differential equation; Applied mathematics; Burgers' equation; Geography","authors":[{"name":"J. Colliander","is_ca":true},{"name":"Carlos E. Kenig","is_ca":false},{"name":"Gigliola Staffilani","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09496664445586489,"gpt":0.2883029328047058,"spread":0.1933362883488409,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007971408,0.0009010041,0.001312483,0.001619809,0.001447625,0.003085167,0.001512008,0.002780999,0.004442774],"category_scores_gemma":[0.004678238,0.0005981683,0.0009995673,0.0007497754,0.002721124,0.003449603,0.003441334,0.002990435,0.0006120229],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001775996,"about_ca_system_score_gemma":0.001378922,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00326902,"about_ca_topic_score_gemma":0.001827298,"domain_scores_codex":[0.9997367,0.00006852589,0.00001937653,0.00004383143,0.00005774873,0.00007364716],"domain_scores_gemma":[0.9993091,0.0002210586,0.0001521966,0.00002952425,0.0001031266,0.0001849714],"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":[0.00008158567,0.00003121903,0.0005079086,0.00008454797,0.00002237894,0.0003118197,0.0003130625,0.008642322,0.003672258,0.9824111,0.001506759,0.002414925],"study_design_scores_gemma":[0.0000779056,0.00005445381,0.0008176884,0.00005274937,0.00002172206,0.0004308443,0.0003637156,0.1160664,0.001043308,0.8787829,0.002219506,0.00006892975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.693552,0.007053671,0.2052445,0.01221189,0.001263317,0.0001221948,0.0003835759,0.0002955203,0.07987341],"genre_scores_gemma":[0.9410558,0.001908773,0.01426284,0.0005846921,0.0005761669,0.0001119172,0.0002618602,0.0001422063,0.04109575],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004442774,"threshold_uncertainty_score":0.0148626,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3168339442","doi":"10.1007/s00039-022-00598-4","title":"Examples of Ricci limit spaces with non-integer Hausdorff dimension","year":2022,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Hausdorff dimension; Packing dimension; Minkowski–Bouligand dimension; Limit (mathematics); Effective dimension; Hausdorff space; Hausdorff measure; Ricci curvature; Pure mathematics; Urysohn and completely Hausdorff spaces; Mathematical analysis; Discrete mathematics; Geometry; Fractal dimension; Fractal","authors":[{"name":"Jiayin Pan","is_ca":true},{"name":"Guofang Wei","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02614424983202427,"gpt":0.2259488488854348,"spread":0.1998045990534106,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006032168,0.0008121074,0.0006226212,0.003316283,0.001531247,0.002408848,0.001028648,0.00133699,0.006211901],"category_scores_gemma":[0.002192941,0.0004116925,0.000550819,0.001740625,0.001984439,0.002043235,0.001751253,0.001206415,0.0007258962],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009895553,"about_ca_system_score_gemma":0.0003805488,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006381545,"about_ca_topic_score_gemma":0.0006191794,"domain_scores_codex":[0.9995368,0.0001001898,0.00002501586,0.000056885,0.0001893422,0.00009179534],"domain_scores_gemma":[0.9989943,0.0003063877,0.0001552644,0.0001000107,0.0002400953,0.0002039349],"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":[0.00001897177,0.00001247483,0.0001788964,0.00004928455,0.000005400461,0.0002233555,0.0001397166,0.001500135,0.0009620319,0.9940993,0.0009540971,0.001856437],"study_design_scores_gemma":[0.00002168048,0.00002222217,0.000914852,0.00003582766,0.00001088463,0.000970937,0.0002832997,0.0209375,0.001797092,0.9644637,0.01051255,0.00002945152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5622649,0.00446598,0.1407971,0.002424529,0.0003114259,0.0001156058,0.0008266487,0.00104762,0.2877462],"genre_scores_gemma":[0.9491704,0.0008020062,0.02844101,0.000136001,0.000108831,0.00007790108,0.0003125547,0.0001039963,0.02084732],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006211901,"threshold_uncertainty_score":0.02078092,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2057407131","doi":"10.1007/s00039-012-0207-2","title":"Length of Geodesics and Quantitative Morse Theory on Loop Spaces","year":2013,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Geodesic; Combinatorics; Omega; Integer (computer science); Homotopy; Subspace topology; Maxima and minima; Space (punctuation); Manifold (fluid mechanics); Mathematical analysis; Pure mathematics; Physics","authors":[{"name":"Alexander Nabutovsky","is_ca":true},{"name":"Regina Rotman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03501170702208319,"gpt":0.2779376765148397,"spread":0.2429259694927565,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001600291,0.000715076,0.0008786374,0.004665572,0.001686312,0.00288524,0.001380502,0.001328859,0.006861428],"category_scores_gemma":[0.004834294,0.0004322359,0.0005797883,0.001860671,0.004771632,0.008281097,0.002395353,0.001869476,0.0004097756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001706307,"about_ca_system_score_gemma":0.0004952392,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009959063,"about_ca_topic_score_gemma":0.0008499897,"domain_scores_codex":[0.9994387,0.0001826448,0.00002658788,0.00009160113,0.0001766721,0.00008375665],"domain_scores_gemma":[0.9967796,0.001457554,0.0005832532,0.0002389608,0.0003777684,0.0005629358],"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":[0.00001152086,0.000008237787,0.0003377555,0.00001700745,0.000005040574,0.00001618395,0.0001501008,0.0007872999,0.0003319172,0.9966562,0.000168588,0.001510297],"study_design_scores_gemma":[0.000003793367,0.000009377712,0.0003417056,0.000006882066,0.000004459499,0.00002035355,0.000064183,0.003649025,0.0001476399,0.9951637,0.0005800421,0.00000872761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7904342,0.002263126,0.1472299,0.003844088,0.0001720709,0.00003168608,0.0003561048,0.0002841475,0.05538462],"genre_scores_gemma":[0.9812825,0.0006074534,0.007192602,0.0001512919,0.0003035469,0.00002993895,0.0001597887,0.00008844305,0.01018444],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006861428,"threshold_uncertainty_score":0.02295375,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2071493211","doi":"10.1007/s00039-006-0559-6","title":"Curvature-free upper bounds for the smallest area of a minimal surface","year":2006,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Upper and lower bounds; Riemannian manifold; Combinatorics; Minimal volume; Minimal surface; Surface (topology); Manifold (fluid mechanics); Ricci curvature; RADIUS; Curvature; Geometry; Mathematical analysis; Hermitian manifold","authors":[{"name":"Alexander Nabutovsky","is_ca":true},{"name":"Regina Rotman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03033170703763779,"gpt":0.2391437676731728,"spread":0.208812060635535,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003133654,0.002812932,0.002713142,0.006992843,0.002349045,0.004884543,0.004068244,0.002547452,0.009091819],"category_scores_gemma":[0.01839523,0.001465428,0.002033372,0.002334717,0.005613003,0.01002999,0.007060619,0.007334753,0.001449668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001989181,"about_ca_system_score_gemma":0.0005958166,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007783611,"about_ca_topic_score_gemma":0.0008776133,"domain_scores_codex":[0.9981822,0.0004282179,0.00009141149,0.0004560101,0.0005630659,0.0002791414],"domain_scores_gemma":[0.9784489,0.0151883,0.0009856789,0.001517644,0.001285389,0.002574038],"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":[0.0002876905,0.00007250781,0.001511138,0.0004253109,0.00007565507,0.000207529,0.0004841368,0.01587605,0.01031909,0.9477299,0.004412652,0.01859823],"study_design_scores_gemma":[0.00001639261,0.00006176545,0.001515056,0.00007561602,0.00006572723,0.0002411075,0.00009134821,0.04349211,0.002973747,0.9469806,0.004430855,0.00005567467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3350645,0.01827316,0.5131974,0.009735512,0.000929551,0.00008493077,0.001307814,0.00157777,0.1198294],"genre_scores_gemma":[0.9277118,0.004302415,0.0490441,0.0008618939,0.001981981,0.0002184392,0.0007990532,0.0008830886,0.01419715],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009091819,"threshold_uncertainty_score":0.03041518,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2059652052","doi":"10.1007/s00039-004-0486-3","title":"On Convexified Packing and Entropy Duality","year":2004,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Optimization and Packing Problems","field":"Engineering","cited_by":15,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Entropy (arrow of time); Combinatorics; Duality (order theory); Pure mathematics; Physics","authors":[{"name":"Shiri Artstein","is_ca":false},{"name":"Vitali Milman","is_ca":false},{"name":"Stanisław J. Szarek","is_ca":false},{"name":"Nicole Tomczak-Jaegermann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01278134893837404,"gpt":0.1943522401481411,"spread":0.1815708912097671,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002779673,0.001350323,0.002045744,0.002603808,0.00175882,0.003971904,0.001690781,0.002439849,0.007238559],"category_scores_gemma":[0.01047708,0.0009057334,0.00161456,0.002633618,0.006470518,0.01100473,0.004145954,0.005003207,0.0006030196],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001830529,"about_ca_system_score_gemma":0.0006306977,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001104065,"about_ca_topic_score_gemma":0.0008251517,"domain_scores_codex":[0.9983609,0.0008386272,0.00006780955,0.0002224622,0.0003639183,0.0001462018],"domain_scores_gemma":[0.9957693,0.002941518,0.0003542609,0.000386734,0.0003300355,0.0002183372],"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":[0.000007325934,0.000007136873,0.00004430889,0.00001862691,0.000004707819,0.0000159202,0.00003472751,0.002565559,0.00007598216,0.9943637,0.0006682634,0.002193773],"study_design_scores_gemma":[0.000001439491,0.000002554912,0.00004430793,0.00000718039,0.000001774961,0.00001571033,0.00001230755,0.005935285,0.00003217978,0.9931764,0.0007674199,0.000003372871],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08733124,0.01177531,0.7400949,0.01034022,0.001556504,0.00005304322,0.0003605206,0.0001520423,0.1483363],"genre_scores_gemma":[0.8314984,0.01070573,0.1014528,0.002768031,0.00505929,0.0001624756,0.0006326154,0.0003622685,0.04735837],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007238559,"threshold_uncertainty_score":0.0242154,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2089124265","doi":"10.1007/s00039-009-0706-y","title":"The Arnoux–Yoccoz Teichmüller disc","year":2009,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","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":"Cegep de Saint Jerome","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Diffeomorphism; Quadratic differential; Pure mathematics; Holomorphic function; Totally geodesic; Geodesic; Locus (genetics); Genus; Quadratic equation; Surface (topology); Combinatorics; Mathematical analysis; Geometry","authors":[{"name":"Pascal Hubert","is_ca":true},{"name":"Erwan Lanneau","is_ca":false},{"name":"Martin Möller","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02519198182319359,"gpt":0.2685726087503357,"spread":0.2433806269271421,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001054114,0.0003055193,0.0002423673,0.0009344603,0.000782174,0.0006891332,0.0002503056,0.0003840288,0.002269291],"category_scores_gemma":[0.0004301064,0.00009096185,0.0002301207,0.0002039782,0.0009140461,0.0007380602,0.0006854672,0.0005325388,0.0002496385],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004710545,"about_ca_system_score_gemma":0.0002097359,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008292537,"about_ca_topic_score_gemma":0.0004250347,"domain_scores_codex":[0.9999299,0.000006605209,0.000002662644,0.00001707003,0.00002600224,0.00001785414],"domain_scores_gemma":[0.9998838,0.00001995937,0.00002392554,0.00001519014,0.00002601148,0.00003108977],"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":[0.00004370977,0.0000152246,0.0009820467,0.00003733703,0.000007350112,0.0004363054,0.0003597678,0.002710452,0.01256987,0.9749925,0.0006458084,0.007199582],"study_design_scores_gemma":[0.00005913657,0.0001988217,0.008410586,0.00003645231,0.0000370362,0.002410012,0.0005146295,0.07548719,0.02644425,0.8607966,0.02555444,0.00005087701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9085199,0.0004438101,0.04104515,0.0003863371,0.00006617979,0.00003312954,0.00008849131,0.00006437407,0.04935261],"genre_scores_gemma":[0.9849187,0.0001760671,0.006167426,0.00003966862,0.00004689004,0.00002026158,0.00007634042,0.0000125356,0.008542069],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002269291,"threshold_uncertainty_score":0.007591546,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2079786299","doi":"10.1007/s00039-011-0130-y","title":"Shrinking Targets For IETS: Extending a Theorem of Kurzweil","year":2011,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Geodesic; Combinatorics; Ball (mathematics); Sequence (biology); Real number; Real line; Discrete mathematics; Mathematical analysis","authors":[{"name":"Jon Chaika","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07771863947271276,"gpt":0.2777499103945878,"spread":0.200031270921875,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001440323,0.0009498912,0.001255192,0.003170771,0.00160649,0.002472248,0.001095448,0.001331709,0.006439884],"category_scores_gemma":[0.006577893,0.0005090315,0.001631196,0.001413243,0.003687014,0.008291602,0.006138098,0.004853998,0.001231988],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007364103,"about_ca_system_score_gemma":0.0003942731,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000776313,"about_ca_topic_score_gemma":0.0002946404,"domain_scores_codex":[0.9993105,0.0001325387,0.00005110251,0.0002073801,0.000187652,0.0001108047],"domain_scores_gemma":[0.9973547,0.001263059,0.0002475657,0.0003486701,0.0004456644,0.0003403896],"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":[0.00001948953,0.000009391459,0.000150943,0.00003853683,0.000006770203,0.00006551167,0.0002706477,0.001190701,0.0008225001,0.9901473,0.0008430433,0.006435154],"study_design_scores_gemma":[0.00000753684,0.00002093698,0.0001799186,0.00001120914,0.00000948153,0.00008555999,0.00007607613,0.007468862,0.000490169,0.9876093,0.004030542,0.00001045255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1274832,0.001705656,0.7372797,0.003228663,0.0007631097,0.00008660953,0.0004016507,0.0006516426,0.1283998],"genre_scores_gemma":[0.8450052,0.003326363,0.0939215,0.001653812,0.001620552,0.0002974471,0.0005686537,0.0009177539,0.05268867],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006439884,"threshold_uncertainty_score":0.02154362,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4391535881","doi":"10.1007/s00039-024-00660-3","title":"Kaufman and Falconer Estimates for Radial Projections and a Continuum Version of Beck’s Theorem","year":2024,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":13,"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":"Mathematics; Combinatorics; Hausdorff dimension; Dimension (graph theory); Hausdorff space; Borel set; Planar","authors":[{"name":"Tuomas Orponen","is_ca":false},{"name":"Pablo Shmerkin","is_ca":true},{"name":"Hong Wang","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007784067192637425,"gpt":0.2263630910537537,"spread":0.2185790238611163,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003838499,0.00168959,0.00135903,0.005169271,0.00182042,0.00306403,0.001733501,0.001997974,0.008915352],"category_scores_gemma":[0.009149767,0.0006958711,0.001960695,0.002277866,0.004546891,0.009308008,0.004700714,0.005456211,0.001456283],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00194391,"about_ca_system_score_gemma":0.0009865594,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002968471,"about_ca_topic_score_gemma":0.001685028,"domain_scores_codex":[0.9988002,0.0004067717,0.00007136726,0.0002410022,0.0003237658,0.0001569428],"domain_scores_gemma":[0.996838,0.00145988,0.0002923319,0.0003508299,0.0007468274,0.0003121656],"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":[0.000007777621,0.000007861621,0.00007829788,0.00003190434,0.00000889045,0.000028039,0.00006645308,0.0006884171,0.0003987122,0.9948591,0.001469183,0.002355443],"study_design_scores_gemma":[0.000005043794,0.00001050954,0.0002858331,0.00002430286,0.00001356447,0.0001152516,0.00005596899,0.009712003,0.000337285,0.9839141,0.005501676,0.00002430715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05627846,0.008954486,0.7687829,0.01334991,0.001528017,0.00006624692,0.0005221798,0.0004274737,0.1500903],"genre_scores_gemma":[0.733685,0.009218368,0.1636324,0.00455738,0.002545112,0.0002123443,0.00061592,0.0006983049,0.08483523],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008915352,"threshold_uncertainty_score":0.02982485,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2030574767","doi":"10.1007/s00039-007-0605-z","title":"Estimates from Below for the Spectral Function and for the Remainder in Local Weyl’s Law","year":2007,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Université du Québec à Montréal; McGill University","funders":"","keywords":"Remainder; Mathematics; Parametrix; Laplace operator; Formalism (music); Spectral function; Dirichlet distribution; Mathematical analysis; Pure mathematics; Partial differential equation; Parabolic partial differential equation; Arithmetic","authors":[{"name":"Dmitry Jakobson","is_ca":true},{"name":"Iosif Polterovich","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03772319256229865,"gpt":0.284817819551937,"spread":0.2470946269896383,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00377102,0.002228193,0.001273555,0.005576926,0.001535898,0.00274223,0.001401383,0.001433019,0.007341169],"category_scores_gemma":[0.007707279,0.0003970433,0.001368446,0.001309516,0.00376753,0.008803699,0.00352819,0.005852091,0.001703853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001735516,"about_ca_system_score_gemma":0.0006924787,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001465802,"about_ca_topic_score_gemma":0.001058653,"domain_scores_codex":[0.9992773,0.000253085,0.00004863469,0.0001141516,0.0001960634,0.0001108177],"domain_scores_gemma":[0.9969876,0.001364925,0.0002195146,0.0003068092,0.0006721331,0.0004490172],"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":[0.00002772362,0.00001999788,0.000221685,0.0001126187,0.00001584297,0.00005732389,0.0002772813,0.001070109,0.002100519,0.9866782,0.001938665,0.007480036],"study_design_scores_gemma":[0.000008753721,0.00002871078,0.0007471134,0.00008726602,0.0000317927,0.0001450638,0.0001734931,0.01174926,0.002035717,0.9730645,0.01188842,0.00003981306],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1169728,0.02176082,0.6719915,0.01095041,0.002129836,0.0001044831,0.0005227366,0.0009162095,0.1746512],"genre_scores_gemma":[0.8281204,0.01683504,0.07593866,0.002271791,0.003544643,0.0002386512,0.0007124734,0.001203591,0.07113474],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007341169,"threshold_uncertainty_score":0.02455866,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2094651847","doi":"10.1007/s00039-011-0141-8","title":"Higher-Order Fourier Analysis Of $${\\mathbb{F}_{p}^n}$$ And The Complexity Of Systems Of Linear Forms","year":2011,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Order (exchange); Fourier transform; Combinatorics; Function (biology); Fourier series; Norm (philosophy); Constant (computer programming); Degree (music); Analytic function; Mathematical analysis; Physics","authors":[{"name":"Hamed Hatami","is_ca":true},{"name":"Shachar Lovett","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07770629874753229,"gpt":0.25977657441374,"spread":0.1820702756662077,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001814881,0.0007864198,0.001024203,0.00327887,0.001612809,0.003627804,0.002016141,0.00186243,0.01109683],"category_scores_gemma":[0.008593302,0.000504848,0.001022255,0.001114987,0.005618926,0.009330697,0.002169986,0.003648579,0.000715929],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002072979,"about_ca_system_score_gemma":0.0006944514,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001575862,"about_ca_topic_score_gemma":0.001292725,"domain_scores_codex":[0.9989375,0.0003602069,0.00003532337,0.0001487161,0.0003311964,0.0001870353],"domain_scores_gemma":[0.9947924,0.003517359,0.0005050392,0.0004169031,0.0003699973,0.0003982027],"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":[0.000008355359,0.00001281324,0.0001285748,0.00001475189,0.000003074934,0.0000151125,0.00006793646,0.00151071,0.0001978779,0.9961987,0.0004546253,0.001387552],"study_design_scores_gemma":[0.000002818835,0.000003461325,0.000183123,0.000006969049,0.000001568396,0.00003654628,0.00003174839,0.01782172,0.0001338226,0.981348,0.0004206796,0.000009559532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6228972,0.002078366,0.2624169,0.009570775,0.000528075,0.00005154375,0.0004368801,0.0003356304,0.1016846],"genre_scores_gemma":[0.9687591,0.000739954,0.01594201,0.0004398099,0.0006352028,0.00006915232,0.0002324566,0.0001518402,0.01303058],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01109683,"threshold_uncertainty_score":0.03712261,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2346245048","doi":"10.1007/s00039-018-0460-0","title":"Eigenvectors of the 1-dimensional critical random Schrödinger operator","year":2018,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Eigenvalues and eigenvectors; Operator (biology); Laplace operator; Brownian motion; Spectrum (functional analysis); Scaling limit; Scaling; Random compact set; Limit (mathematics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.0340630533091283,"gpt":0.2941276038483671,"spread":0.2600645505392388,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001068695,0.0009649608,0.0007768625,0.002451405,0.0008825491,0.002137155,0.001159922,0.001553991,0.009855703],"category_scores_gemma":[0.003609424,0.0004603557,0.0004469535,0.0006434737,0.002763445,0.003025711,0.001406423,0.001437853,0.0009539838],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008498565,"about_ca_system_score_gemma":0.000927184,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000908733,"about_ca_topic_score_gemma":0.0006430813,"domain_scores_codex":[0.9993344,0.0002005067,0.0000299609,0.000119841,0.0001874583,0.0001278254],"domain_scores_gemma":[0.9985253,0.000492501,0.0002481666,0.0001366812,0.0002834362,0.0003139284],"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":[0.00002403412,0.00002296744,0.0001804735,0.00002956958,0.000006798583,0.00007837262,0.00006682196,0.002592617,0.001760846,0.9929922,0.0008812394,0.001364217],"study_design_scores_gemma":[0.00002746848,0.00002102608,0.0006345703,0.00001835351,0.000006419903,0.0002478069,0.00009594732,0.05527306,0.0009681293,0.941648,0.001016175,0.00004301104],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7056886,0.001079971,0.2032758,0.003819991,0.0004788058,0.0001562989,0.0006230075,0.0006330509,0.08424442],"genre_scores_gemma":[0.962069,0.0004311118,0.01222731,0.0004427408,0.0003873073,0.0001123143,0.0003262555,0.0001747211,0.02382926],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009855703,"threshold_uncertainty_score":0.03297067,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3033662116","doi":"10.1007/s00039-021-00557-5","title":"On the variance of squarefree integers in short intervals and arithmetic progressions","year":2021,"lang":"lv","type":"article","venue":"Geometric and Functional Analysis","topic":"Analytic Number Theory Research","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":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission; Academy of Finland; Centre de Recherches Mathématiques; National Science Foundation","keywords":"Square-free integer; Mathematics; Arithmetic function; Modulo; Combinatorics; Riemann hypothesis; Arithmetic; Arithmetic progression; Interval (graph theory); Number theory; Discrete mathematics; Pure mathematics","authors":[{"name":"Ofir Gorodetsky","is_ca":false},{"name":"Kaisa Matomäki","is_ca":false},{"name":"Maksym Radziwiłł","is_ca":false},{"name":"Brad Rodgers","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05499838801749685,"gpt":0.3120478176539329,"spread":0.257049429636436,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006512366,0.001133312,0.001308443,0.00427071,0.001089065,0.002538853,0.001924011,0.001107198,0.007382307],"category_scores_gemma":[0.05240508,0.0005731037,0.0008458328,0.001508514,0.004566499,0.004872409,0.002346045,0.002471453,0.0009238485],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002068851,"about_ca_system_score_gemma":0.001211667,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001788352,"about_ca_topic_score_gemma":0.001120924,"domain_scores_codex":[0.9957501,0.001326314,0.000147899,0.0007195905,0.001361485,0.0006945374],"domain_scores_gemma":[0.9489035,0.03993773,0.003444697,0.002603623,0.003000478,0.002109956],"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":[0.002088885,0.0002594222,0.0212461,0.00060125,0.0003606236,0.001082597,0.0009057452,0.1296542,0.01644085,0.7723331,0.01079817,0.04422905],"study_design_scores_gemma":[0.0001185725,0.0003627432,0.01224166,0.0002400242,0.0001207717,0.0008481309,0.0002876481,0.4337027,0.008613056,0.5391839,0.004049764,0.0002310099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.7800564,0.004344417,0.1795277,0.002346851,0.0004895747,0.00007704031,0.0007470992,0.001578611,0.03083224],"genre_scores_gemma":[0.9853964,0.0006133774,0.008297136,0.0001707158,0.000434562,0.0001093311,0.0005039991,0.0003687628,0.004105804],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.007382307,"threshold_uncertainty_score":0.03444105,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2046331001","doi":"10.1007/s00039-003-0431-x","title":"Singularity of orbits in classical Lie algebras","year":2003,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Lie group; Lie algebra; Measure (data warehouse); Pure mathematics; Singularity; Dimension (graph theory); Simple Lie group; Orbit (dynamics); Adjoint representation; Lie theory; Zero (linguistics); Adjoint representation of a Lie algebra; Type (biology); Algebra over a field; Mathematical analysis; Lie conformal algebra","authors":[{"name":"Sanjiv Kumar Gupta","is_ca":false},{"name":"Kathryn E. Hare","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03358236968825643,"gpt":0.2738501285008101,"spread":0.2402677588125537,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001089536,0.0007399557,0.001016901,0.003390205,0.002348864,0.002667065,0.001033501,0.0011506,0.003342729],"category_scores_gemma":[0.002642568,0.0004263893,0.0006970831,0.001655303,0.00443851,0.00448821,0.0023335,0.001670613,0.0003651059],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001579447,"about_ca_system_score_gemma":0.0009042162,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002714579,"about_ca_topic_score_gemma":0.0020804,"domain_scores_codex":[0.9995851,0.00009088461,0.00002333702,0.00005803981,0.000166784,0.00007580481],"domain_scores_gemma":[0.9990711,0.0002058561,0.0001666355,0.00006930169,0.0001512544,0.0003358267],"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":[0.00002720178,0.000011783,0.0002266337,0.00001982686,0.000004974045,0.00008991629,0.000325002,0.0006389705,0.0004358998,0.9967134,0.0003179321,0.00118846],"study_design_scores_gemma":[0.00000749553,0.00001126186,0.0001706526,0.000004938643,0.000003758712,0.00005973242,0.00009083081,0.002578763,0.00009071171,0.9965432,0.0004323286,0.000006218672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8692184,0.001747516,0.07739322,0.001727802,0.000246,0.00005862799,0.0002344733,0.0002327875,0.04914118],"genre_scores_gemma":[0.9814568,0.0006453245,0.006770901,0.0001187277,0.0003534654,0.00002294926,0.0001555505,0.000049205,0.01042716],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003390205,"threshold_uncertainty_score":0.01145977,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}