{"meta":{"query_hash":"d0d3db10adce","filters":{"topic":"Geometric Analysis and Curvature Flows"},"cohort_total":889,"direct_labels_cover":0,"predictions_cover":889,"exported":889,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/d0d3db10adce","api":"https://metacan.xera.ac/api/v1/cohort?topic=Geometric+Analysis+and+Curvature+Flows"},"results":[{"id":"W102541636","doi":"","title":"ON EXISTENCE OF CANONICAL SCREENS FOR COISOTROPIC SUBMANIFOLDS","year":2008,"lang":"en","type":"article","venue":"DergiPark (Istanbul University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Integrable system; Mathematics; Pure mathematics; Variety (cybernetics); Class (philosophy); Transversal (combinatorics); Manifold (fluid mechanics); Distribution (mathematics); Canonical bundle; Null (SQL); Bundle; Mathematical analysis; Computer science","score_opus":0.07845025173766519,"score_gpt":0.26427541480497496,"score_spread":0.18582516306730978,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W102541636","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9152231,0.00006402204,0.032100614,0.0001465309,0.00008838046,0.00030200015,0.00005519899,0.00006706785,0.051953074],"genre_scores_gemma":[0.9798918,0.00004572428,0.00682834,0.000043717915,0.000033680983,9.855096e-7,0.000011708427,0.000015495658,0.013128577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9988602,0.000051247498,0.00023255909,0.00028802227,0.00030001614,0.00026795742],"domain_scores_gemma":[0.9984394,0.000623148,0.00018541365,0.0004087405,0.00023323974,0.00011009814],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012545062,0.00015964691,0.00039073592,0.00037462593,0.00018903772,0.000007903718,0.00033774585,0.00012052735,0.00013533785],"category_scores_gemma":[0.00032623106,0.00015809276,0.00027353587,0.0009722616,0.00012937195,0.00008631527,0.00005187057,0.00012414121,0.000010436036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025565803,0.00032574148,0.0012969512,0.00007696035,0.00018271655,0.0001490327,0.00028341977,0.000066067645,0.00010169101,0.98036027,0.016797446,0.00010404713],"study_design_scores_gemma":[0.013311268,0.0035007999,0.024423173,0.00036097172,0.002081956,0.00014794152,0.007583188,0.002688192,0.003201265,0.09038785,0.8496317,0.002681657],"about_ca_topic_score_codex":0.00006619157,"about_ca_topic_score_gemma":0.00021825016,"teacher_disagreement_score":0.8899724,"about_ca_system_score_codex":0.000109576176,"about_ca_system_score_gemma":0.00012000666,"threshold_uncertainty_score":0.6446836},"labels":[],"label_agreement":null},{"id":"W1484506367","doi":"10.1090/s0002-9939-06-08297-9","title":"The length of a shortest closed geodesic and the area of a 2-dimensional sphere","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Algorithm; Annotation; Artificial intelligence; Type (biology); Computer science; Mathematics; Biology","score_opus":0.011179230425319597,"score_gpt":0.23422772619992613,"score_spread":0.22304849577460653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1484506367","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99404466,0.0002791756,0.00032845407,0.0013863129,0.000011863402,0.00037529774,0.0000068751306,0.000015766373,0.0035516017],"genre_scores_gemma":[0.98932827,0.000039592425,0.010176713,0.00006640519,0.00003333754,0.000020849593,3.3313935e-7,0.000018410405,0.00031611495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998107,0.000025174633,0.00072004413,0.00018992598,0.00071195647,0.00024590665],"domain_scores_gemma":[0.9961449,0.0020263179,0.0011592048,0.00026216128,0.00036822594,0.000039179766],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014462135,0.0001927384,0.00076640607,0.000018386048,0.00018782083,0.0000315014,0.00052928756,0.000053606745,0.00002434803],"category_scores_gemma":[0.0010821903,0.000079822894,0.0006462196,0.000931678,0.0022978568,0.00005290558,0.00023364558,0.00022615114,7.086297e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022084513,0.0009302854,0.0077228164,0.00086767424,0.0011731307,1.4284693e-7,0.002554244,0.000021352209,0.007308842,0.95203966,0.024526013,0.0026349886],"study_design_scores_gemma":[0.001166548,0.00013413385,0.009570319,0.00023177582,0.0010059066,0.000014708051,0.008141728,0.014199547,0.003338885,0.96172714,0.00022380803,0.00024547716],"about_ca_topic_score_codex":0.00006423422,"about_ca_topic_score_gemma":0.000003734997,"teacher_disagreement_score":0.024302205,"about_ca_system_score_codex":0.000019201414,"about_ca_system_score_gemma":0.000031638945,"threshold_uncertainty_score":0.8466549},"labels":[],"label_agreement":null},{"id":"W1487155688","doi":"10.1090/crmp/040/03","title":"Sasakian geometry and Einstein metrics on spheres","year":2006,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Einstein; SPHERES; Geometry; Physics; Theoretical physics; Classical mechanics; Mathematics; Astronomy","score_opus":0.02643036336371734,"score_gpt":0.25107735300942535,"score_spread":0.224646989645708,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1487155688","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0077161896,0.0073776306,0.0022976429,0.00043023826,0.0002727474,0.00059316226,0.000050139668,0.00030911152,0.98095316],"genre_scores_gemma":[0.97217,0.00031014121,0.001676278,0.00064784545,0.0018702076,0.000021410984,0.00007700518,0.00034096205,0.02288618],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965848,0.000006477252,0.0007335521,0.0010464159,0.0010466392,0.000582126],"domain_scores_gemma":[0.9974162,0.0007366437,0.0007560404,0.00036052338,0.0005124237,0.00021817644],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0003736197,0.0010195157,0.0013581684,0.0016421714,0.00025204607,0.0004035075,0.0004260488,0.0013927799,0.0007120126],"category_scores_gemma":[0.0019365832,0.00082063297,0.0004662842,0.000918833,0.00013300953,0.0001387667,0.00015627596,0.0014128186,0.00007730991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045925146,0.00011104809,0.0006434967,0.0008537106,0.000599974,0.000026882435,0.00018392802,0.000010390921,0.00010842387,0.93843406,0.017356534,0.041625597],"study_design_scores_gemma":[0.00038633586,0.0003013596,0.00012443248,0.00046096373,0.00097571715,0.000028963752,0.00004100336,0.000061687264,0.00067441195,0.8410102,0.15484786,0.0010870597],"about_ca_topic_score_codex":0.000032843105,"about_ca_topic_score_gemma":0.00005907146,"teacher_disagreement_score":0.96445376,"about_ca_system_score_codex":0.00014908474,"about_ca_system_score_gemma":0.000056605,"threshold_uncertainty_score":0.9999036},"labels":[],"label_agreement":null},{"id":"W1490275917","doi":"10.18910/8619","title":"Spacelike constant mean curvature 1 trinoids in de Sitter three-space","year":2006,"lang":"en","type":"article","venue":"Osaka City University (Osaka City University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; De Sitter space; Mean curvature; Mathematical physics; Constant (computer programming); Anti-de Sitter space; Holomorphic function; Constant curvature; Mathematical analysis; Curvature; Space (punctuation); Sectional curvature; De Sitter universe; Scalar curvature; Geometry; Physics; Quantum mechanics; Universe","score_opus":0.0181337578710287,"score_gpt":0.20584929826204212,"score_spread":0.18771554039101343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1490275917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8534053,0.000061193066,0.016510798,0.0015728676,0.0001778969,0.00046529467,0.000113718015,0.00027900326,0.12741391],"genre_scores_gemma":[0.9464451,0.00007070514,0.004637935,0.00011175347,0.0001268463,1.8344359e-7,0.000059607093,0.000037011036,0.04851083],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99650705,0.00037899695,0.00035844548,0.00097203976,0.00071858556,0.0010648553],"domain_scores_gemma":[0.997546,0.00045569031,0.00037992158,0.00091074314,0.00033278475,0.00037484735],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00073010055,0.00059276744,0.000937578,0.0019607567,0.00051709235,0.00010941251,0.0011003165,0.0006972902,0.00075096096],"category_scores_gemma":[0.00014242016,0.0007014165,0.00059634924,0.0047757397,0.00036776625,0.0007647537,0.0004840179,0.0011651829,0.0000558524],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00077187957,0.0018488213,0.41320592,0.00018500429,0.0005895246,0.00400798,0.0014344907,0.00040343503,0.0010613517,0.538623,0.037341736,0.0005269072],"study_design_scores_gemma":[0.013636286,0.00035281153,0.105799764,0.00033744014,0.0021394356,0.00010084073,0.01303971,0.0019805185,0.0011632879,0.027036699,0.83055043,0.0038627721],"about_ca_topic_score_codex":0.004177234,"about_ca_topic_score_gemma":0.033577584,"teacher_disagreement_score":0.7932087,"about_ca_system_score_codex":0.0014006889,"about_ca_system_score_gemma":0.00033783924,"threshold_uncertainty_score":0.9995437},"labels":[],"label_agreement":null},{"id":"W1492541479","doi":"10.48550/arxiv.0911.0370","title":"An integral formula for the volume entropy with applications to rigidity","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Canadian Nautical Research Society","funders":"","keywords":"Rigidity (electromagnetism); Mathematics; Applied mathematics; Mathematical economics; Statistical physics; Physics; Quantum mechanics","score_opus":0.07066487313476472,"score_gpt":0.3381717980138051,"score_spread":0.2675069248790404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1492541479","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26875415,0.00015564957,0.7268811,0.0015317416,0.00009750151,0.002011855,0.00007185999,0.00011746345,0.0003787048],"genre_scores_gemma":[0.9533329,0.000024398869,0.042349793,0.0004538297,0.00066886935,0.0012633615,0.00015664172,0.000047058962,0.0017031524],"study_design_codex":"observational","study_design_gemma":"not_applicable","domain_scores_codex":[0.9982943,0.000045493573,0.00040348296,0.0005736695,0.00031784756,0.00036521503],"domain_scores_gemma":[0.997344,0.00025354378,0.00029179678,0.0015888343,0.00035710252,0.00016469538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005311649,0.00034761368,0.0005175263,0.00016555507,0.00025857272,0.00013778257,0.00090763415,0.00024386727,0.000098303004],"category_scores_gemma":[0.0001965182,0.00020509168,0.00031904798,0.0005445076,0.000043630625,0.00007942685,0.00015938982,0.0005710373,0.00007979909],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006589867,0.005041225,0.39936313,0.0012313324,0.0044645574,0.000013741955,0.004686631,0.006574398,0.00063094887,0.3004791,0.17405492,0.102801025],"study_design_scores_gemma":[0.0015382367,0.0011005932,0.19845967,0.00026377453,0.004072203,0.00001424631,0.001425033,0.016734734,0.00068582804,0.24448678,0.5289885,0.002230425],"about_ca_topic_score_codex":0.0000893835,"about_ca_topic_score_gemma":0.0002640198,"teacher_disagreement_score":0.6845787,"about_ca_system_score_codex":0.00009431083,"about_ca_system_score_gemma":0.00009542234,"threshold_uncertainty_score":0.8363396},"labels":[],"label_agreement":null},{"id":"W1494996279","doi":"10.1007/s00205-012-0527-2","title":"Convergence of Ginzburg–Landau Functionals in Three-Dimensional Superconductivity","year":2012,"lang":"en","type":"article","venue":"Archive for Rational Mechanics and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Vortex; Superconductivity; Convergence (economics); Curvature; Magnetic field; Complex system; Energy (signal processing); Field (mathematics)","score_opus":0.0463825817082351,"score_gpt":0.2895107484315131,"score_spread":0.24312816672327797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1494996279","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.451225,0.0003263466,0.5477172,0.00022475938,0.00008266241,0.00016148316,0.00021258889,0.0000069955086,0.000042934742],"genre_scores_gemma":[0.9837564,0.000014298,0.01582151,0.000041899137,0.000061050545,0.000033932258,0.00019254965,0.0000074359637,0.00007091637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998877,0.000048209957,0.00036346572,0.00020839492,0.00030217727,0.00020076647],"domain_scores_gemma":[0.9988154,0.00066769845,0.00014247498,0.00014377646,0.00014660861,0.00008401964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008033423,0.00012587907,0.00040408163,0.0005041463,0.00008463299,0.000011094454,0.00007224214,0.000052339823,0.0003325033],"category_scores_gemma":[0.00029415105,0.000104650746,0.00028156443,0.0009236396,0.00002145042,0.00019702967,0.000042482327,0.00008262586,0.0000017474295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040474104,0.00027880966,0.03527667,0.00004060942,0.0009881948,2.569166e-7,0.00013382515,0.0005851207,0.0019077588,0.9601191,0.0002926639,0.00033648906],"study_design_scores_gemma":[0.0004694862,0.00005934573,0.028738944,0.000016110664,0.0011713043,0.000002282124,0.00013009949,0.18618806,0.00032955885,0.7823027,0.0003752303,0.00021688038],"about_ca_topic_score_codex":0.000060418814,"about_ca_topic_score_gemma":0.00043535084,"teacher_disagreement_score":0.5325314,"about_ca_system_score_codex":0.000015448017,"about_ca_system_score_gemma":0.000035797464,"threshold_uncertainty_score":0.42675334},"labels":[],"label_agreement":null},{"id":"W1513429361","doi":"10.1109/cdc.2005.1582590","title":"Curve Shortening and its Application to Multi-Agent Systems","year":2006,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Point in polygon; Polygon (computer graphics); Regular polygon; Mathematics; Curvature; Convex curve; Monotonic function; Monotone polygon; Geometry; Mathematical analysis; Convex hull; Convex body; Computer science","score_opus":0.0364744779318442,"score_gpt":0.29055037474554857,"score_spread":0.25407589681370435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1513429361","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27579123,0.00053189625,0.71858066,0.00009597121,0.000056827932,0.0004584731,0.0000029933428,0.00008760213,0.004394329],"genre_scores_gemma":[0.98470867,0.0000040062923,0.008467181,0.000031442964,0.00008488728,0.000051663155,0.000006464646,0.000010295111,0.00663541],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9992738,0.00001828802,0.00022245513,0.00019000653,0.00016334969,0.00013212378],"domain_scores_gemma":[0.99958676,0.00005966136,0.00005490216,0.00015466449,0.00008499875,0.000059003178],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025344573,0.0000894758,0.00017076427,0.00011916796,0.00005360336,0.000050015955,0.00006559891,0.00004995189,0.000023481667],"category_scores_gemma":[0.00004769843,0.00006852215,0.00003637166,0.0004166228,0.0000033843596,0.00004700949,0.000031987223,0.000046324265,0.00006501716],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021188875,0.0012274861,0.043550808,0.0006392686,0.0003998017,0.000014859444,0.0009659442,0.0059047746,0.020543423,0.83817995,0.06740183,0.021150682],"study_design_scores_gemma":[0.0013653979,0.00012892883,0.03451196,0.00010395796,0.0005223633,0.00003455172,0.0022973616,0.8679537,0.0028241791,0.005148103,0.0837868,0.0013226877],"about_ca_topic_score_codex":0.000162831,"about_ca_topic_score_gemma":0.000114885675,"teacher_disagreement_score":0.8620489,"about_ca_system_score_codex":0.000019898436,"about_ca_system_score_gemma":0.0000040869777,"threshold_uncertainty_score":0.27942523},"labels":[],"label_agreement":null},{"id":"W151562488","doi":"10.1007/978-3-540-73890-9_17","title":"Rolling Problems on Spaces of Constant Curvature","year":2007,"lang":"en","type":"book-chapter","venue":"Lecture notes in control and information sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Unit sphere; Mathematics; Lie group; Isometry (Riemannian geometry); Invariant (physics); Constant curvature; Hamiltonian (control theory); Mathematical analysis; Combinatorics; Pure mathematics; Curvature; Mathematical physics; Geometry","score_opus":0.039025809113624355,"score_gpt":0.2833979212353039,"score_spread":0.24437211212167953,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W151562488","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0014499073,0.0063975914,0.2065046,0.0017144695,0.00047181884,0.0013109802,0.000118145676,0.00007396487,0.7819585],"genre_scores_gemma":[0.9945436,0.0004946651,0.0027948085,0.0012689445,0.00011504212,0.000006982374,0.000016974564,0.000011848669,0.0007471101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99804705,0.000017956707,0.00078201643,0.00020058251,0.0007219602,0.00023040069],"domain_scores_gemma":[0.99745256,0.0013051366,0.0008000214,0.0001740236,0.00021476467,0.000053492568],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014955576,0.00027890748,0.00062509027,0.0009982757,0.0001179516,0.00014709578,0.00021547796,0.00040294582,0.00009386995],"category_scores_gemma":[0.0008706506,0.000182631,0.00012478855,0.0003919788,0.00029533956,0.0005697788,0.00002651818,0.00046421736,0.0000068971494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000101676305,0.000035055986,0.00057272695,0.00044677252,0.00016790166,0.0000024599562,0.0018478697,0.0065327506,0.000022106133,0.8628537,0.00022296624,0.12719399],"study_design_scores_gemma":[0.0024896695,0.00085839385,0.00018897306,0.0017623656,0.00031527015,0.00001909628,0.00016905439,0.024606584,0.00015244052,0.82527435,0.14308459,0.0010792135],"about_ca_topic_score_codex":0.000018565557,"about_ca_topic_score_gemma":0.00010853184,"teacher_disagreement_score":0.9930937,"about_ca_system_score_codex":0.000026735743,"about_ca_system_score_gemma":0.00007979603,"threshold_uncertainty_score":0.74474764},"labels":[],"label_agreement":null},{"id":"W1525525850","doi":"10.5802/afst.1531","title":"A dual Moser–Onofri inequality and its extensions to higher dimensional spheres","year":2017,"lang":"en","type":"preprint","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Victoria","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Stereographic projection; Mathematics; Sobolev space; Gaussian measure; Gaussian curvature; Scalar curvature; Curvature; Duality (order theory); Boundary (topology); Sobolev inequality; Mathematical analysis; SPHERES; Gaussian; Combinatorics; Mathematical physics; Physics; Geometry; Quantum mechanics","score_opus":0.1974299588620429,"score_gpt":0.4318645720632274,"score_spread":0.23443461320118453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1525525850","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9910139,0.002640455,0.0016252066,0.0008866884,0.00011876491,0.0004286758,0.00015086365,0.00025909653,0.002876382],"genre_scores_gemma":[0.9037818,0.00039213107,0.0933893,0.0006137727,0.00019916907,0.00010043349,0.00001968207,0.0000499797,0.001453738],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99580795,0.0007129063,0.0007387306,0.0010230298,0.00089335145,0.00082406244],"domain_scores_gemma":[0.9964336,0.0011849923,0.0005931276,0.0007963677,0.00049178,0.00050013425],"candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0032867494,0.00063870824,0.0010013619,0.00036051086,0.0011537288,0.0013910596,0.0010550221,0.00062711927,0.0003219864],"category_scores_gemma":[0.0029736268,0.00049346435,0.00033028435,0.00045039476,0.0010259242,0.0003949724,0.0017233277,0.00078414154,0.000043108408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035193295,0.0036410494,0.050396916,0.0069521163,0.0027370336,0.0014799436,0.08431065,0.009754962,0.0077732224,0.46065465,0.3521869,0.01976065],"study_design_scores_gemma":[0.00041923116,0.00034256894,0.07673444,0.0015437398,0.0005339982,0.0002357989,0.0014065693,0.012482298,0.0009305361,0.89730966,0.006341141,0.0017200419],"about_ca_topic_score_codex":0.0004927538,"about_ca_topic_score_gemma":0.00063352427,"teacher_disagreement_score":0.43665498,"about_ca_system_score_codex":0.00017101341,"about_ca_system_score_gemma":0.0004151757,"threshold_uncertainty_score":0.9997517},"labels":[],"label_agreement":null},{"id":"W1530800647","doi":"","title":"Semi-invariant submanifolds of Kenmotsu manifold immersed in a generalized almost r-contact structure admitting quarter-symmetric non-metric connection","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical and Computational Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Manifold (fluid mechanics); Pure mathematics; Invariant (physics); Metric connection; Pseudo-Riemannian manifold; Metric (unit); Mathematical analysis; Quarter (Canadian coin); Invariant manifold; Fundamental theorem of Riemannian geometry; Geometry; Scalar curvature; Mathematical physics","score_opus":0.019706019908853817,"score_gpt":0.28033929525704393,"score_spread":0.26063327534819014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1530800647","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9462877,0.00025070523,0.05265079,0.00013250617,0.00012733632,0.00012613063,0.0000038325775,0.000004792036,0.00041622738],"genre_scores_gemma":[0.96791303,0.00001013442,0.031884227,0.00004676113,0.00012006572,0.0000014022141,0.0000011384791,0.000008244139,0.0000150156675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972193,0.0000866494,0.0010665494,0.00017923619,0.0011013588,0.00034686402],"domain_scores_gemma":[0.99712205,0.0012119116,0.0008715881,0.00011885758,0.00043827738,0.00023732257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028124412,0.00017559265,0.00059568806,0.0013549856,0.00011679668,0.00007858049,0.00027150984,0.000087723056,0.00013845423],"category_scores_gemma":[0.0015847303,0.0001234389,0.0001541129,0.003832369,0.000078696925,0.00056678016,0.00006242136,0.00024854517,0.0000027410886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020901264,0.003088382,0.044302694,0.0009158822,0.00039684717,0.00005492554,0.005617079,0.0028371285,0.016306615,0.9192592,0.00066720584,0.0063450513],"study_design_scores_gemma":[0.003901137,0.0009247152,0.3155407,0.0005537007,0.00044867714,0.0013882286,0.0038420784,0.19363774,0.0020851847,0.47695106,0.000042616426,0.0006841589],"about_ca_topic_score_codex":0.000012629113,"about_ca_topic_score_gemma":0.000002365755,"teacher_disagreement_score":0.44230813,"about_ca_system_score_codex":0.000091203205,"about_ca_system_score_gemma":0.00012812423,"threshold_uncertainty_score":0.5033692},"labels":[],"label_agreement":null},{"id":"W1533771221","doi":"10.1090/conm/599/11927","title":"Minimal surfaces and eigenvalue problems","year":2013,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":75,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Eigenvalues and eigenvectors; Minimal surface; Pure mathematics; Combinatorics; Physics","score_opus":0.046804335654087585,"score_gpt":0.2840990922833257,"score_spread":0.2372947566292381,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1533771221","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0032184408,0.006039133,0.040246036,0.00061681756,0.00018525352,0.0035717026,0.00018563619,0.0014903052,0.9444467],"genre_scores_gemma":[0.0076955566,0.0007724063,0.31628987,0.00032364708,0.00045910533,0.00042243226,0.00007888224,0.0017318402,0.67222625],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99475056,0.00018824279,0.0016807185,0.0011592958,0.0012898187,0.0009313567],"domain_scores_gemma":[0.99401015,0.0015811931,0.00214033,0.0015206859,0.00015790974,0.00058973953],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0011958237,0.0013584351,0.0033019898,0.00030230757,0.00019187339,0.00037243214,0.00085476844,0.00072935177,0.0046519567],"category_scores_gemma":[0.0007756824,0.0010485187,0.001036625,0.0011609034,0.001414968,0.0002019018,0.0004940022,0.00088830944,0.000730134],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000029282396,0.0008131687,0.000069603615,0.0046567726,0.0014789945,0.000008816061,0.0021110396,4.9611197e-7,0.000030065796,0.057540115,0.93258214,0.0007058457],"study_design_scores_gemma":[0.0021889214,0.0006965549,0.000053431555,0.004391308,0.0022246954,0.00012178112,0.016964529,0.022935182,0.00003916116,0.45940623,0.48566204,0.005316163],"about_ca_topic_score_codex":0.00015484937,"about_ca_topic_score_gemma":0.000010574986,"teacher_disagreement_score":0.44692013,"about_ca_system_score_codex":0.00008900053,"about_ca_system_score_gemma":0.00017130119,"threshold_uncertainty_score":0.9999167},"labels":[],"label_agreement":null},{"id":"W1537318298","doi":"10.48550/arxiv.gr-qc/0702152","title":"On curvature homogeneous 4D Lorentzian manifolds","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Homogeneous; Curvature; Manifold (fluid mechanics); Causal structure; Pure mathematics; Order (exchange); Mathematics; Mathematical analysis; Physics; Geometry; Combinatorics; Quantum mechanics","score_opus":0.07927370443473021,"score_gpt":0.32190255563692177,"score_spread":0.24262885120219158,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1537318298","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9770995,0.0016584736,0.0051308298,0.00037323317,0.0015366058,0.00050952856,0.000057810455,0.00027756623,0.01335649],"genre_scores_gemma":[0.98829406,0.00017606856,0.0025825321,0.0007624437,0.0011629632,0.000041235817,0.00021401288,0.00014054256,0.0066261464],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962546,0.00010830727,0.0008407663,0.0011047268,0.00092778855,0.0007637588],"domain_scores_gemma":[0.99639255,0.0004337885,0.0006190229,0.0019927023,0.00027919543,0.0002827155],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00080769777,0.00080009905,0.0010836431,0.000734561,0.00022059186,0.00017465372,0.0010015325,0.0013549405,0.0011619449],"category_scores_gemma":[0.00068716845,0.0006775132,0.00086109975,0.0009583736,0.000088348024,0.000057591726,0.00068209,0.002154822,0.0007149864],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000435363,0.0054522487,0.49419963,0.0033611353,0.008085009,0.0031411313,0.0028022688,0.0022482933,0.00038658988,0.14919315,0.30903155,0.021663636],"study_design_scores_gemma":[0.0043401173,0.0012528669,0.33807552,0.0033087756,0.008222629,0.0002575414,0.0011321866,0.0015380213,0.004725252,0.39940727,0.22727428,0.010465539],"about_ca_topic_score_codex":0.000068027664,"about_ca_topic_score_gemma":0.000173862,"teacher_disagreement_score":0.2502141,"about_ca_system_score_codex":0.00019949599,"about_ca_system_score_gemma":0.00012931181,"threshold_uncertainty_score":0.9999415},"labels":[],"label_agreement":null},{"id":"W1541678798","doi":"","title":"CR-submanifolds of a nearly hyperbolic Kenmotsu manifold with quarter symmetric non-metric connection","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical and Computational Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Quarter (Canadian coin); Manifold (fluid mechanics); Metric connection; Metric (unit); Pure mathematics; Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Scalar curvature; Curvature","score_opus":0.013120862944792247,"score_gpt":0.24805420426129113,"score_spread":0.23493334131649887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1541678798","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8866437,0.000089232206,0.11106587,0.0002822518,0.000041381667,0.00014400388,8.289188e-7,0.000006857779,0.0017258805],"genre_scores_gemma":[0.9496776,0.000006502755,0.050126966,0.00005070596,0.00005801715,0.0000036199172,2.540287e-7,0.0000074424947,0.000068900445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99757653,0.00003516964,0.0007158543,0.00017833266,0.0012688473,0.00022526455],"domain_scores_gemma":[0.99706084,0.00091202674,0.0006277302,0.0001264413,0.0010711029,0.00020185749],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011804976,0.00014724414,0.00046850077,0.0009967288,0.00013029284,0.00016737495,0.00028703382,0.00005325224,0.00019788723],"category_scores_gemma":[0.00065345375,0.00008883046,0.000116832234,0.003428753,0.000197699,0.0005785752,0.0000476718,0.00017264643,0.000021842818],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012292413,0.0032623094,0.00883338,0.0009860632,0.0005974675,0.000048255748,0.0027906129,0.002467962,0.0022799126,0.9507334,0.0033945236,0.024483144],"study_design_scores_gemma":[0.0012870687,0.0014852787,0.119120605,0.00027550984,0.00027679058,0.0009792817,0.001366488,0.09392151,0.0002438104,0.7806755,0.000035798963,0.00033237739],"about_ca_topic_score_codex":0.0000104847695,"about_ca_topic_score_gemma":6.795322e-7,"teacher_disagreement_score":0.17005797,"about_ca_system_score_codex":0.00003814396,"about_ca_system_score_gemma":0.000118831544,"threshold_uncertainty_score":0.3622401},"labels":[],"label_agreement":null},{"id":"W1544515955","doi":"10.48550/arxiv.1310.2302","title":"Non-CMC Solutions of the Einstein Constraint Equations on Compact Manifolds with Apparent Horizon Boundaries","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies; National Science Foundation","keywords":"Boundary (topology); Einstein; Manifold (fluid mechanics); Conformal map; Constant curvature; Horizon; Physics; Curvature; Cosmological constant; Constraint (computer-aided design); Killing vector field; Mathematical analysis; Constant (computer programming); Mathematical physics; Mathematics; Geometry; Computer science","score_opus":0.10338762853778433,"score_gpt":0.21099270542006043,"score_spread":0.10760507688227611,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1544515955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8131408,0.000042566888,0.17042138,0.00025146542,0.0003568724,0.00092455704,0.00012540714,0.00007447871,0.014662495],"genre_scores_gemma":[0.9977081,0.000017385739,0.00025437406,0.000019649326,0.00005023914,0.0000023778823,0.000032712633,0.000024784124,0.001890398],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99841136,0.00012110117,0.0003412657,0.0005404553,0.00024509864,0.00034070105],"domain_scores_gemma":[0.99737173,0.00028900767,0.0006420989,0.0012226911,0.000357291,0.000117187716],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002757295,0.00036761104,0.0005953202,0.00034219393,0.0004957638,0.00014858224,0.0007238231,0.00027259722,0.00024265453],"category_scores_gemma":[0.00012891242,0.00026546916,0.00043113463,0.0009795576,0.00061055564,0.00010060118,0.00039113095,0.0006668206,0.00004520992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003701437,0.0005109012,0.0018964839,0.00018592348,0.00083523436,0.000014264517,0.00037612583,0.049675185,0.00002462649,0.9433552,0.002973146,0.000115905714],"study_design_scores_gemma":[0.0046875966,0.0017994572,0.019446552,0.003176326,0.008625719,0.000019249108,0.010539736,0.28327152,0.00079103565,0.6586025,0.0055713616,0.0034689798],"about_ca_topic_score_codex":0.00061758683,"about_ca_topic_score_gemma":0.0006718274,"teacher_disagreement_score":0.2847527,"about_ca_system_score_codex":0.0002393597,"about_ca_system_score_gemma":0.0004511007,"threshold_uncertainty_score":0.99997973},"labels":[],"label_agreement":null},{"id":"W1557471974","doi":"10.18910/57676","title":"Zero mean curvature surfaces in Lorentz--Minkowski 3-space which change type across a light-like line","year":2015,"lang":"en","type":"article","venue":"Osaka City University (Osaka City University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Japan Society for the Promotion of Science","keywords":"Minkowski space; Mathematics; Lorentz transformation; Curvature; Zero (linguistics); Mean curvature; Gravitational singularity; Lorentz space; Space (punctuation); Plane (geometry); Hyperboloid model; Type (biology); Line (geometry); Mathematical analysis; Corollary; Surface (topology); Constant-mean-curvature surface; Mathematical physics; Geometry; Center of curvature; Pure mathematics; Physics; Classical mechanics","score_opus":0.08771160154741965,"score_gpt":0.27351084228911116,"score_spread":0.18579924074169152,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1557471974","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9716226,0.0001828533,0.0014267128,0.0019150975,0.00063128164,0.00066441693,0.00016724208,0.00034892233,0.023040894],"genre_scores_gemma":[0.96608174,0.00022590114,0.0017880723,0.00012661981,0.00015907976,3.5194776e-7,0.00012489124,0.00004709898,0.031446263],"study_design_codex":"observational","study_design_gemma":"not_applicable","domain_scores_codex":[0.995765,0.00046920896,0.0003934874,0.0011793893,0.0010366128,0.0011563032],"domain_scores_gemma":[0.99603534,0.000295438,0.0004814873,0.0011340004,0.0012632023,0.0007905516],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011490177,0.0006971144,0.0011612212,0.0014032656,0.0005545152,0.00014434253,0.0015394953,0.00085588574,0.00024494185],"category_scores_gemma":[0.0005219711,0.0007871803,0.00038851093,0.009640871,0.00021696267,0.0014654311,0.0010185743,0.0012639028,0.000114049624],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0060763564,0.008881901,0.57585746,0.0010543198,0.003538113,0.0073765935,0.10708139,0.0012792553,0.0007475509,0.15455902,0.12999865,0.00354941],"study_design_scores_gemma":[0.010401899,0.0008226609,0.020841997,0.000392075,0.001328906,0.000046528363,0.04383436,0.0024024837,0.0004830956,0.0038412348,0.9123788,0.0032259696],"about_ca_topic_score_codex":0.0025247945,"about_ca_topic_score_gemma":0.042017754,"teacher_disagreement_score":0.78238016,"about_ca_system_score_codex":0.0010911399,"about_ca_system_score_gemma":0.00035381468,"threshold_uncertainty_score":0.9994579},"labels":[],"label_agreement":null},{"id":"W1559116849","doi":"","title":"On Quarter-Symmetric Metric Connection in a Lorentzian Para-Sasakian Manifold (pp.3-12)","year":2014,"lang":"en","type":"article","venue":"Azerbaijan Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Quarter (Canadian coin); Metric (unit); Manifold (fluid mechanics); Pure mathematics; Metric connection; Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Economics; Engineering; History","score_opus":0.03331224211551405,"score_gpt":0.27659229348295894,"score_spread":0.2432800513674449,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1559116849","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8302783,0.0005973932,0.15630803,0.00062285137,0.00077598396,0.00045121295,0.000004928089,0.00006187664,0.010899439],"genre_scores_gemma":[0.9776955,0.000079123136,0.021451322,0.00014039253,0.00028804512,0.000006206849,0.0000023008772,0.000055787048,0.00028128072],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99596757,0.00028863488,0.0018188704,0.0002807132,0.0011448426,0.00049939007],"domain_scores_gemma":[0.9947289,0.002472279,0.0016401982,0.0005940823,0.00030637006,0.00025813517],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003834023,0.00039970878,0.0011718282,0.0026790348,0.00009272605,0.00013055184,0.0005693805,0.00023066594,0.0002338659],"category_scores_gemma":[0.0047074137,0.00030747498,0.0005238157,0.0035439748,0.000035269783,0.00026930377,0.000043695993,0.0007151025,0.00011005191],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021632727,0.008728182,0.007283135,0.0013704625,0.001308956,0.00029561424,0.004945219,0.0005190369,0.00046367935,0.91897166,0.036103006,0.019794751],"study_design_scores_gemma":[0.007655407,0.004686586,0.008987068,0.00164402,0.0014125077,0.00089602795,0.0069729555,0.025362477,0.00097265374,0.93422234,0.0055861915,0.0016017663],"about_ca_topic_score_codex":0.000012307884,"about_ca_topic_score_gemma":0.000052685602,"teacher_disagreement_score":0.14741725,"about_ca_system_score_codex":0.0001858316,"about_ca_system_score_gemma":0.0000503583,"threshold_uncertainty_score":0.9999377},"labels":[],"label_agreement":null},{"id":"W1559756188","doi":"10.1023/a:1010676616509","title":"Maps Interchanging f-Structures and their Harmonicity","year":2001,"lang":"en","type":"article","venue":"Acta Applicandae Mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Mathematics; Hermitian matrix; Pure mathematics; Integrable system; Differentiable function; Metric (unit); Mathematical analysis","score_opus":0.038188042639192406,"score_gpt":0.28051109970415156,"score_spread":0.24232305706495916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1559756188","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91918075,0.00022457617,0.06631693,0.001070788,0.000048103342,0.00047452096,0.000016965314,0.00020749241,0.012459873],"genre_scores_gemma":[0.9896956,0.00007507658,0.0092353765,0.00020749097,0.00011703953,0.00006743749,0.000007806491,0.00004301683,0.0005511186],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984687,0.00004400682,0.00042370427,0.00039122548,0.00024695048,0.0004254331],"domain_scores_gemma":[0.9985103,0.0005124812,0.00018627451,0.00057324284,0.00006653418,0.00015118744],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053265353,0.00032447884,0.0005968727,0.00021048042,0.00016800812,0.00013556206,0.0003276335,0.00013201128,0.00038990992],"category_scores_gemma":[0.00027720575,0.00021938857,0.00016351837,0.0006256251,0.000103546095,0.00012287928,0.00020492535,0.00025844865,0.000025766245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010902002,0.0006982922,0.0013049735,0.00093735964,0.0010867584,0.000043027394,0.010342616,0.0000016647666,0.018009868,0.83345497,0.048475005,0.08553648],"study_design_scores_gemma":[0.00044986018,0.000042238822,0.00038155218,0.00006385599,0.00013109164,0.00017121216,0.0014958148,0.0010125643,0.002076411,0.9687163,0.025045138,0.0004139579],"about_ca_topic_score_codex":0.000015615207,"about_ca_topic_score_gemma":0.00001796536,"teacher_disagreement_score":0.13526137,"about_ca_system_score_codex":0.00003519651,"about_ca_system_score_gemma":0.0000138750565,"threshold_uncertainty_score":0.8946406},"labels":[],"label_agreement":null},{"id":"W1569578676","doi":"10.1007/s00209-015-1468-x","title":"Einstein locally conformal calibrated $$G_2$$ G 2 -structures","year":2015,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Menzies Centre for Australian Studies, King's College London, University of London; University College London; King's College London; King's University College","keywords":"Mathematics; Conformal map; Einstein; Mathematical physics; Pure mathematics; Geometry","score_opus":0.04227302493683514,"score_gpt":0.27581482256877704,"score_spread":0.2335417976319419,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1569578676","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11016483,0.09107272,0.19410822,0.0036163067,0.009406429,0.0051601436,0.00077237486,0.0022416785,0.5834573],"genre_scores_gemma":[0.9184946,0.00035374437,0.051840868,0.0011934771,0.002712247,0.000109264874,0.000435293,0.0004629665,0.024397578],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9924618,0.0004436843,0.002283385,0.0010521038,0.0021983285,0.0015607242],"domain_scores_gemma":[0.99403816,0.00054079667,0.001226698,0.0019172482,0.0009741342,0.0013029495],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.002380294,0.001312694,0.002161488,0.0007542395,0.00034280817,0.00094697234,0.0014041942,0.0011837641,0.0036095742],"category_scores_gemma":[0.0025525359,0.0010636012,0.0007414244,0.002553247,0.00033731517,0.00095056545,0.0006352263,0.0013809017,0.007120711],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000162099,0.00071397395,0.00031161302,0.0010849965,0.0022493799,0.00023160945,0.0053013796,0.0003320913,0.00017387979,0.76592094,0.2172936,0.006224447],"study_design_scores_gemma":[0.004579321,0.00060378906,0.00018891475,0.0006140079,0.002728155,0.00016379406,0.0040349383,0.022029784,0.0025891473,0.021896966,0.9382542,0.0023169848],"about_ca_topic_score_codex":0.0001748054,"about_ca_topic_score_gemma":0.00004912584,"teacher_disagreement_score":0.80832976,"about_ca_system_score_codex":0.00003956111,"about_ca_system_score_gemma":0.0007952132,"threshold_uncertainty_score":0.99996245},"labels":[],"label_agreement":null},{"id":"W1572217283","doi":"10.3968/3002","title":"Pseudo-Parallel Legendrian Submanifolds With Flat Normal Bundle of Sasakian Space Forms","year":2014,"lang":"en","type":"article","venue":"Progress in applied mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Submanifold; Normal bundle; Mathematics; Totally geodesic; Bundle; Space (punctuation); Geodesic; Mathematical analysis; Combinatorics; Pure mathematics; Geometry; Computer science; Materials science; Vector bundle","score_opus":0.016570656982999653,"score_gpt":0.2578636570312759,"score_spread":0.24129300004827625,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1572217283","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63441813,0.00036923896,0.24641672,0.00031316563,0.00012143762,0.0020355412,0.000013500011,0.0002918912,0.11602037],"genre_scores_gemma":[0.6485546,0.000009353225,0.35094357,0.000015191731,0.0000517445,0.00011142385,0.000008143008,0.00005633405,0.00024961348],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973213,0.000029583745,0.00088354887,0.00039580572,0.0007674162,0.0006023127],"domain_scores_gemma":[0.997918,0.00029891465,0.0006536505,0.00087739585,0.00010821372,0.00014380719],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010807271,0.00041322224,0.0009748542,0.00040022226,0.00008438571,0.000075816526,0.0005376532,0.00022730327,0.00011526295],"category_scores_gemma":[0.00008652331,0.00029797174,0.00015166795,0.0011168622,0.0001786168,0.00011871408,0.00014287593,0.00031581218,0.000032023563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006901739,0.0010789544,0.004927825,0.0013538,0.00017608865,0.0000052147757,0.0018629535,0.00006580772,0.000083236155,0.9851852,0.0003070068,0.004884892],"study_design_scores_gemma":[0.009904304,0.0015338317,0.0018609038,0.0012328918,0.0013910903,0.00016437811,0.007830944,0.05954047,0.01362221,0.892139,0.0074228556,0.0033571206],"about_ca_topic_score_codex":0.0000051400048,"about_ca_topic_score_gemma":0.00013759919,"teacher_disagreement_score":0.11577075,"about_ca_system_score_codex":0.000052595577,"about_ca_system_score_gemma":0.000042178148,"threshold_uncertainty_score":0.99994725},"labels":[],"label_agreement":null},{"id":"W1573882","doi":"10.1007/978-3-319-00942-1_2","title":"Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs","year":2013,"lang":"en","type":"book-chapter","venue":"Lecture notes in mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Isoperimetric inequality; Mathematics; Curvature; Type (biology); Mathematical analysis; Nonlinear system; Regular polygon; Parabolic partial differential equation; Partial differential equation; Elliptic partial differential equation; Mean curvature; Elliptic curve; Geometry","score_opus":0.05770426854885504,"score_gpt":0.2820395943995614,"score_spread":0.22433532585070634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1573882","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0077368733,0.13616022,0.13494807,0.002125,0.0022364394,0.0060780207,0.00041836445,0.0011172399,0.70917976],"genre_scores_gemma":[0.050858624,0.006980027,0.61256075,0.0012134035,0.0026271523,0.000103320664,0.00040055256,0.00120209,0.3240541],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964898,0.00007037913,0.0012187056,0.00068657123,0.0009855408,0.00054900395],"domain_scores_gemma":[0.99533075,0.0022028792,0.00072124816,0.0010532062,0.00052497897,0.00016691654],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008978982,0.0009915972,0.0018304124,0.0012310637,0.000116176256,0.00025006215,0.0005235928,0.0014958517,0.0015819296],"category_scores_gemma":[0.0045147575,0.00076208776,0.00031166224,0.00076521374,0.00017283708,0.00013974341,0.00023443025,0.0016464394,0.000211519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008246702,0.000824204,0.00027077674,0.008939591,0.0027222175,0.00017065597,0.007843173,0.0001748014,0.00021060837,0.9015393,0.018814307,0.058407843],"study_design_scores_gemma":[0.00038907427,0.00015578838,0.000010473923,0.0008915064,0.0006570354,0.0000519197,0.0000593634,0.0012932473,0.00010311431,0.93615896,0.059110157,0.0011193748],"about_ca_topic_score_codex":0.00003095455,"about_ca_topic_score_gemma":0.00015008515,"teacher_disagreement_score":0.47761264,"about_ca_system_score_codex":0.00012551044,"about_ca_system_score_gemma":0.00012163459,"threshold_uncertainty_score":0.99980044},"labels":[],"label_agreement":null},{"id":"W1596601719","doi":"10.48550/arxiv.1109.0939","title":"Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Singularity; Curvature; Mean curvature flow; Mean curvature; Symmetry (geometry); Flow (mathematics); Rotational symmetry; Mathematics; Dynamics (music); Mathematical analysis; Physics; Geometry","score_opus":0.0788776511963083,"score_gpt":0.2075974705023293,"score_spread":0.128719819306021,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1596601719","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25844875,0.0023368935,0.7166392,0.00010609967,0.0014619663,0.0016566197,0.0009348798,0.000509417,0.017906165],"genre_scores_gemma":[0.97921133,0.00029762447,0.008913378,0.000042834246,0.00014460247,0.0000043277746,0.00049408973,0.00010148824,0.010790348],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99704015,0.00015374488,0.0004889722,0.0014020558,0.00022497549,0.0006901169],"domain_scores_gemma":[0.99623895,0.00068086846,0.00074841536,0.0013912377,0.0006682205,0.00027229538],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00079434505,0.000703732,0.0010920598,0.00094507175,0.0002817497,0.00015968157,0.0013980418,0.00110259,0.00023233717],"category_scores_gemma":[0.00070219755,0.0007305193,0.00089294295,0.0025396275,0.00009728948,0.0002816574,0.0008307641,0.0011598389,0.0000407589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004536573,0.002806827,0.028794164,0.0041283416,0.009050517,0.00025119897,0.0018813178,0.06767104,0.000044543274,0.5759462,0.30183977,0.007132433],"study_design_scores_gemma":[0.000946308,0.000109945264,0.000407106,0.00017595735,0.0022162155,0.0000026249395,0.0005071327,0.7283591,0.000050067265,0.26320446,0.0027073736,0.0013137506],"about_ca_topic_score_codex":0.00028445042,"about_ca_topic_score_gemma":0.0006714239,"teacher_disagreement_score":0.72076255,"about_ca_system_score_codex":0.00048622966,"about_ca_system_score_gemma":0.00015383889,"threshold_uncertainty_score":0.9995146},"labels":[],"label_agreement":null},{"id":"W1597480843","doi":"10.1090/s0002-9947-03-03414-7","title":"Stability of parabolic Harnack inequalities","year":2003,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":102,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; National Science Foundation","keywords":"Harnack's inequality; Mathematics; Harnack's principle; Exponent; Scaling; Parabolic partial differential equation; Mathematical analysis; Graph; Inequality; Pure mathematics; Combinatorics; Geometry; Partial differential equation","score_opus":0.045489980119812756,"score_gpt":0.29888996764919623,"score_spread":0.2533999875293835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1597480843","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71463835,0.00004846081,0.28247327,0.00020889734,0.000032393706,0.0002005338,0.00002496264,0.00003016141,0.0023429887],"genre_scores_gemma":[0.95973015,0.000028214083,0.03990094,0.00004726721,0.000007350705,0.000015483605,3.210391e-7,0.000015550058,0.00025473296],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983228,0.00020879103,0.00064180215,0.00016165516,0.00045153545,0.00021343511],"domain_scores_gemma":[0.99766856,0.00094375625,0.0004805779,0.0006932805,0.0001516831,0.00006212549],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082359364,0.00015599227,0.0006800213,0.000030186984,0.00010097274,0.00000943225,0.0002985542,0.00005076703,0.0008004339],"category_scores_gemma":[0.00052236405,0.000099252575,0.00094923616,0.0012339534,0.0007475711,0.00006465434,0.0000107751675,0.00021411393,0.0000050408635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007013066,0.006464285,0.0057345713,0.003341445,0.0029480942,3.7067292e-7,0.023294725,0.00029075972,0.009903333,0.9404775,0.0030385873,0.0044362065],"study_design_scores_gemma":[0.0008500791,0.00026015707,0.0028443467,0.0001503078,0.0014253455,0.00001247338,0.03237408,0.0016400161,0.059936713,0.8988327,0.001091724,0.0005820897],"about_ca_topic_score_codex":0.000047051795,"about_ca_topic_score_gemma":0.000005559034,"teacher_disagreement_score":0.2450918,"about_ca_system_score_codex":0.000033460747,"about_ca_system_score_gemma":0.00005648607,"threshold_uncertainty_score":0.876419},"labels":[],"label_agreement":null},{"id":"W1597979635","doi":"10.1214/23-ejp954","title":"Harnack inequalities and Gaussian estimates for random walks on metric measure spaces","year":2023,"lang":"en","type":"article","venue":"Electronic Journal of Probability","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of British Columbia; Canada Research Chairs; National Science Foundation","keywords":"Mathematics; Heat kernel; Harnack's inequality; Markov chain; Harnack's principle; Gaussian measure; Gaussian; Metric space; Probability measure; Invariant (physics); Measure (data warehouse); Metric (unit); State space; Pure mathematics; Mathematical analysis; Statistics","score_opus":0.04832804503134178,"score_gpt":0.31013096199808127,"score_spread":0.26180291696673946,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1597979635","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9704016,0.0047676563,0.021000417,0.0025436932,0.00017376855,0.00067790574,0.000011088218,0.000074876254,0.0003490314],"genre_scores_gemma":[0.99663335,0.00017956254,0.002674331,0.0000264693,0.00014356902,0.000018754723,0.0000028505276,0.000021214399,0.00029989847],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997853,0.0001743665,0.00067055615,0.00022409754,0.00051828084,0.00055972417],"domain_scores_gemma":[0.9966285,0.0021512043,0.00050451886,0.00023796338,0.00036944702,0.0001083215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005954067,0.00020693782,0.00069954165,0.0005321232,0.00013397617,0.00009622032,0.00021347239,0.000108943306,0.000037290632],"category_scores_gemma":[0.007807134,0.00013950269,0.000317502,0.0012995569,0.0000618502,0.00016936306,0.000030888506,0.0004512204,0.0000042794513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003301631,0.0013741726,0.020111104,0.0021283159,0.0037012657,0.000020750025,0.0032988216,0.0010532731,0.0006992935,0.9134815,0.015626037,0.035203833],"study_design_scores_gemma":[0.002389358,0.001005178,0.0027109324,0.00008384987,0.00041069053,0.000026994685,0.0004674128,0.00066607137,0.00057410717,0.9898627,0.0015950161,0.00020770557],"about_ca_topic_score_codex":0.0000063636608,"about_ca_topic_score_gemma":0.00005300031,"teacher_disagreement_score":0.076381184,"about_ca_system_score_codex":0.00018552254,"about_ca_system_score_gemma":0.00022837752,"threshold_uncertainty_score":0.9346433},"labels":[],"label_agreement":null},{"id":"W1605874424","doi":"10.1090/conm/630/12669","title":"The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian","year":2014,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Seoul National University","keywords":"Mathematics; Gravitational singularity; Laplace operator; Conformal map; Logarithm; Pure mathematics; Green S; Mathematical analysis","score_opus":0.021553261042012994,"score_gpt":0.2528701425161145,"score_spread":0.2313168814741015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1605874424","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011065193,0.002555679,0.03811461,0.0062034163,0.0017128442,0.0073198457,0.0011076865,0.00031870234,0.931602],"genre_scores_gemma":[0.46399793,0.00012950285,0.012639232,0.0006233943,0.0004090652,0.00017622643,0.000019499215,0.00084526266,0.5211599],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9949448,0.0004392067,0.0020326958,0.0003730401,0.0017040911,0.00050616084],"domain_scores_gemma":[0.9891566,0.0023218389,0.005073064,0.003006819,0.0003374526,0.00010419267],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0018828044,0.00068187766,0.0019845013,0.00009146054,0.0004585346,0.00006218542,0.0027206612,0.00042253648,0.00036486864],"category_scores_gemma":[0.0018242262,0.0002896359,0.0027446044,0.0016763547,0.0049941842,0.00006356301,0.0008831087,0.00093471864,0.000014289786],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024293058,0.0012463002,0.000800023,0.0073368177,0.004293157,5.875973e-7,0.00899935,0.000009267979,0.00015798076,0.3512325,0.625119,0.00078072806],"study_design_scores_gemma":[0.0032086747,0.00059816305,0.0011160823,0.011317727,0.007005269,0.00008006358,0.09189221,0.0090920795,0.0012447268,0.52553207,0.34599325,0.0029197044],"about_ca_topic_score_codex":0.00021230044,"about_ca_topic_score_gemma":0.00009242745,"teacher_disagreement_score":0.45293275,"about_ca_system_score_codex":0.000073558476,"about_ca_system_score_gemma":0.00042979082,"threshold_uncertainty_score":0.9999556},"labels":[],"label_agreement":null},{"id":"W1608910427","doi":"10.1090/s1088-4173-07-00148-8","title":"A note on conformal connections on lightlike hypersurfaces","year":2007,"lang":"en","type":"article","venue":"Conformal Geometry and Dynamics of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Agence Universitaire de la Francophonie","keywords":"Conformal map; Geology; Pure mathematics; Mathematics; Geometry","score_opus":0.013834190519623563,"score_gpt":0.2797765720480085,"score_spread":0.2659423815283849,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1608910427","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94346935,0.000023100765,0.033408385,0.0007947607,0.00011969451,0.00028215325,0.00004318015,0.00006194491,0.021797407],"genre_scores_gemma":[0.99050486,0.000031478787,0.0075966977,0.0009072581,0.000053125084,0.0000052652094,0.0000059434265,0.000022528346,0.0008728458],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99789286,0.000034200784,0.00066532806,0.0002472008,0.0006730942,0.0004872993],"domain_scores_gemma":[0.99656606,0.0019672548,0.0006009155,0.00054204307,0.00014016598,0.00018356231],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013805401,0.00029963144,0.0006946607,0.00014101916,0.0003394498,0.000062855106,0.00043155847,0.00013513853,0.000090447254],"category_scores_gemma":[0.00081254996,0.00018732947,0.0005884704,0.0014304649,0.0007454995,0.00012839661,0.00018880723,0.0005058308,0.00002216565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022760082,0.0006910641,0.001189598,0.0003154307,0.00051877415,0.0000020092243,0.0014246732,0.00019807613,0.00012055729,0.9804083,0.0011623093,0.013741621],"study_design_scores_gemma":[0.007172709,0.007043529,0.04791608,0.0012116544,0.002773768,0.0002564351,0.06960992,0.37933812,0.0058989585,0.4597801,0.0145381,0.004460631],"about_ca_topic_score_codex":0.000017104996,"about_ca_topic_score_gemma":0.000014250449,"teacher_disagreement_score":0.5206282,"about_ca_system_score_codex":0.0000813943,"about_ca_system_score_gemma":0.000038271617,"threshold_uncertainty_score":0.7639074},"labels":[],"label_agreement":null},{"id":"W1611923313","doi":"10.1007/s00039-015-0337-4","title":"Contracting the boundary of a Riemannian 2-disc","year":2015,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Boundary (topology); Geodesic; SPHERES; Combinatorics; Point (geometry); Geometry; Riemannian geometry; Mathematical analysis; Physics","score_opus":0.061278958735368046,"score_gpt":0.2755132104852922,"score_spread":0.21423425174992416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1611923313","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76163083,0.017160961,0.2010136,0.0022156865,0.00046695975,0.0002481918,0.000053305586,0.00009997956,0.017110504],"genre_scores_gemma":[0.9956945,0.000042021802,0.0007961944,0.0000840218,0.00017198583,0.000009097415,0.000021509997,0.00000936635,0.0031712677],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9983787,0.00006313705,0.00043411247,0.00026205688,0.000665952,0.00019605504],"domain_scores_gemma":[0.99814934,0.0008570273,0.00023196434,0.00027154753,0.00035884345,0.00013130627],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015445222,0.00014994049,0.00046760365,0.0017866471,0.0001585019,0.00010134292,0.000112540954,0.00007841051,0.00028803133],"category_scores_gemma":[0.001444888,0.0000875297,0.00040499552,0.013361808,0.00011432564,0.00012661656,0.00007477046,0.0001994715,0.000026969763],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00049936154,0.0016971999,0.42912537,0.00045304818,0.06635174,0.00006351569,0.0037440404,0.0058550304,0.00009451032,0.18906432,0.2007988,0.10225308],"study_design_scores_gemma":[0.0028208795,0.000525937,0.39919358,0.000059332047,0.05591431,0.00012347252,0.018782707,0.046003677,0.000094329065,0.30012515,0.17489985,0.0014567686],"about_ca_topic_score_codex":0.00014590446,"about_ca_topic_score_gemma":0.000052049232,"teacher_disagreement_score":0.23406371,"about_ca_system_score_codex":0.000031664134,"about_ca_system_score_gemma":0.00006183664,"threshold_uncertainty_score":0.6419906},"labels":[],"label_agreement":null},{"id":"W1620491166","doi":"10.1007/s10455-005-1940-7","title":"Calibrated Subbundles in Noncompact Manifolds of Special Holonomy","year":2005,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Holonomy; Cotangent bundle; Differential geometry; Normal bundle; Intersection (aeronautics); Manifold (fluid mechanics); Metric (unit); Bundle; Second fundamental form; Metric connection","score_opus":0.04282648022036638,"score_gpt":0.3336294884318581,"score_spread":0.2908030082114917,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1620491166","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.993198,0.0013235835,0.0006544753,0.0004834928,0.000020688873,0.00006762774,0.000071903705,0.0000097785305,0.0041704443],"genre_scores_gemma":[0.9981672,0.00022242856,0.0012066216,0.00009697705,0.0001769355,0.0000014581319,0.000018063763,0.00000622556,0.000104092316],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99808,0.00007996212,0.00085174304,0.00030077994,0.00038703458,0.00030049015],"domain_scores_gemma":[0.9987397,0.00014513315,0.00044125633,0.0003373815,0.00021529853,0.00012120716],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006998542,0.00020846601,0.0010876867,0.0007315774,0.000032195647,0.000032072763,0.00022935079,0.00014726525,0.0006058779],"category_scores_gemma":[0.00015536706,0.0001713327,0.0005384267,0.008423206,0.00008891577,0.00019279528,0.000079145466,0.00010591157,0.0000059442996],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005722317,0.00078006746,0.9698333,0.00005742385,0.0023352148,0.000006418665,0.000076815646,0.00036749718,0.000028118937,0.011465978,0.0030233336,0.011968602],"study_design_scores_gemma":[0.00041139635,0.00010796948,0.98733884,0.00002747846,0.001211709,0.0000023745788,0.00029236026,0.0011696155,0.0006256549,0.0070876796,0.0014742725,0.00025067065],"about_ca_topic_score_codex":0.0006807378,"about_ca_topic_score_gemma":0.0024475518,"teacher_disagreement_score":0.017505512,"about_ca_system_score_codex":0.000019851255,"about_ca_system_score_gemma":0.000034679357,"threshold_uncertainty_score":0.69867444},"labels":[],"label_agreement":null},{"id":"W1641274295","doi":"10.4310/mrl.2005.v12.n4.a5","title":"Bundle Constructions of Calibrated Submanifolds in $\\mathbb R^7$ and $\\mathbb R^8$","year":2005,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Pure mathematics; Bundle; Normal bundle; Mathematical analysis; Vector bundle; Composite material","score_opus":0.11131851228451682,"score_gpt":0.39606683489316596,"score_spread":0.28474832260864913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1641274295","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9846163,0.00012131049,0.0051657315,0.004901377,0.000019657578,0.0003704939,0.000007997632,0.000045142828,0.0047520227],"genre_scores_gemma":[0.97665864,0.000029402358,0.02263796,0.00013757873,0.00006957496,0.00004445126,0.0000030862445,0.00003043449,0.00038888078],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99700385,0.0002905484,0.00074847025,0.00034896084,0.0009801622,0.00062799203],"domain_scores_gemma":[0.9969899,0.0020485148,0.00010912617,0.00047724225,0.00016897553,0.00020621401],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025429516,0.00019345303,0.000571923,0.0008522551,0.0001096162,0.000094250805,0.00030341858,0.00014518427,0.00075074495],"category_scores_gemma":[0.0024122521,0.000157314,0.00011600633,0.0017946486,0.0004908971,0.00022224731,0.0001761187,0.0005718709,0.00008805957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055628054,0.0016590639,0.0030906636,0.0009919902,0.00020648168,0.000044192744,0.0029913317,0.000039330807,0.019627165,0.950855,0.015793292,0.004645851],"study_design_scores_gemma":[0.0034825853,0.00041652055,0.00519117,0.0008582498,0.00020262712,0.00021538227,0.004644547,0.032612942,0.010821199,0.931619,0.008752094,0.0011836712],"about_ca_topic_score_codex":0.00004738835,"about_ca_topic_score_gemma":0.000089515095,"teacher_disagreement_score":0.03257361,"about_ca_system_score_codex":0.000089328445,"about_ca_system_score_gemma":0.00005282377,"threshold_uncertainty_score":0.822013},"labels":[],"label_agreement":null},{"id":"W164869294","doi":"10.12988/imf.2006.06173","title":"On quasi-recurrent spaces with Ricci quarter-symmetric metric connection","year":2006,"lang":"en","type":"article","venue":"International Mathematical Forum","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Quarter (Canadian coin); Mathematics; Metric connection; Pure mathematics; Topology (electrical circuits); Combinatorics; Ricci curvature; Geometry; Fundamental theorem of Riemannian geometry; Geography","score_opus":0.015394513077989393,"score_gpt":0.2777291293181131,"score_spread":0.2623346162401237,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W164869294","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34110263,0.00020582054,0.502105,0.0060367463,0.0009864231,0.00071560586,0.000044416032,0.00035656133,0.14844677],"genre_scores_gemma":[0.98870474,0.000004534032,0.008525789,0.000118886026,0.00022032301,0.00006112126,0.000034337485,0.000035262005,0.0022949935],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99732244,0.00005672704,0.0006019274,0.00040577695,0.001221062,0.00039205037],"domain_scores_gemma":[0.9973944,0.0015738423,0.00030959785,0.0003327819,0.00028621775,0.00010315911],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00042047212,0.00030730167,0.00045226022,0.0012448697,0.00011566332,0.00021680843,0.00036104777,0.00012373932,0.001138723],"category_scores_gemma":[0.0011107166,0.00021009705,0.00024353866,0.0019335455,0.000052940442,0.0002007617,0.000053401705,0.0002662201,0.0005036408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006199477,0.0015180057,0.0005539006,0.000042337026,0.00017978786,0.000011316027,0.000031047413,0.000048548132,0.000010446772,0.97708696,0.018484853,0.00197078],"study_design_scores_gemma":[0.0010179125,0.000775569,0.00085595436,0.00013502548,0.00016680642,0.000054425873,0.00045201366,0.012849129,0.00021852979,0.9776983,0.005355582,0.00042075277],"about_ca_topic_score_codex":0.00003237877,"about_ca_topic_score_gemma":0.000045465782,"teacher_disagreement_score":0.64760214,"about_ca_system_score_codex":0.0001659741,"about_ca_system_score_gemma":0.000022265564,"threshold_uncertainty_score":0.9997744},"labels":[],"label_agreement":null},{"id":"W1660572054","doi":"10.1051/m2an/2015033","title":"Numerical methods for matching for teams and Wasserstein barycenters","year":2015,"lang":"en","type":"article","venue":"ESAIM Mathematical Modelling and Numerical Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":91,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Agence Nationale de la Recherche; Institut national de recherche en informatique et en automatique (INRIA)","keywords":"Matching (statistics); Convergence (economics); Mathematics; Mathematical optimization; Linear programming; Population; Computer science; Applied mathematics; Statistics","score_opus":0.07819214140428939,"score_gpt":0.3681187796123893,"score_spread":0.28992663820809994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1660572054","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.018475644,0.0005287438,0.979587,0.0005868473,0.000039856815,0.00042358102,0.000011155923,0.00009024236,0.00025692183],"genre_scores_gemma":[0.36130482,0.000011262599,0.63816726,0.00007984773,0.00006709348,0.00009585759,0.000012704589,0.000035080113,0.00022607061],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9974303,0.00018229865,0.0008403538,0.0006913886,0.00031710253,0.0005385428],"domain_scores_gemma":[0.9952234,0.0033570558,0.00023749967,0.00037964399,0.00022403688,0.0005783548],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002354919,0.0003855485,0.0014502065,0.0004013659,0.00026311722,0.000199239,0.00017619478,0.00020132151,0.00003083375],"category_scores_gemma":[0.00095307897,0.00028677477,0.00067934196,0.0012708851,0.00008526643,0.00016022727,0.00008034572,0.0002219035,0.000003492073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010976933,0.0032356344,0.0009074148,0.0033262535,0.021829084,0.000078921286,0.013400391,0.11952796,0.00011588087,0.743685,0.003213671,0.08958208],"study_design_scores_gemma":[0.00041885045,0.00010115432,8.511746e-7,0.00001695915,0.0026594615,0.000033022145,0.0008515341,0.60640424,0.000018143652,0.38884977,0.00040989765,0.00023611556],"about_ca_topic_score_codex":0.00004646257,"about_ca_topic_score_gemma":0.0000018616649,"teacher_disagreement_score":0.48687628,"about_ca_system_score_codex":0.000050707844,"about_ca_system_score_gemma":0.000023383322,"threshold_uncertainty_score":0.99995846},"labels":[],"label_agreement":null},{"id":"W1664045825","doi":"10.48550/arxiv.1110.5378","title":"Stability of spherical collapse under mean curvature flow","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mean curvature flow; Curvature; Flow (mathematics); Stability (learning theory); Mechanics; Geology; Physics; Mathematics; Geometry; Mean curvature; Computer science","score_opus":0.1457028760032539,"score_gpt":0.21438224585430557,"score_spread":0.06867936985105166,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1664045825","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84232306,0.00019859127,0.14389502,0.00003630097,0.00042775812,0.00049268705,0.000097327305,0.00014035287,0.012388903],"genre_scores_gemma":[0.9928626,0.000089441084,0.0053070737,0.000032647782,0.000081237464,9.411655e-7,0.00003612975,0.00004012535,0.0015498277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99765795,0.00026894972,0.00047656515,0.0009959859,0.00021464743,0.00038586895],"domain_scores_gemma":[0.9966704,0.00031875985,0.00061207893,0.0016634722,0.0005108689,0.00022437722],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005809341,0.00046376628,0.0010459176,0.00022959289,0.0000869421,0.000029639497,0.0009189489,0.0007968159,0.0018651023],"category_scores_gemma":[0.0002695408,0.00045206826,0.00073750893,0.0015126319,0.00022738623,0.00011852945,0.00090683624,0.0009960154,0.00003852642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009768483,0.0053413156,0.045542598,0.0031777073,0.0061156843,0.00041431963,0.004182601,0.048920583,0.0003028959,0.8670095,0.01720903,0.0008069237],"study_design_scores_gemma":[0.0013797046,0.00018044627,0.0038502235,0.00023233875,0.0030641519,0.0000042018396,0.0022321509,0.03761988,0.0008830612,0.94804007,0.0010414168,0.0014723632],"about_ca_topic_score_codex":0.00021966328,"about_ca_topic_score_gemma":0.0004074197,"teacher_disagreement_score":0.15053952,"about_ca_system_score_codex":0.00021564827,"about_ca_system_score_gemma":0.00023163926,"threshold_uncertainty_score":0.9997931},"labels":[],"label_agreement":null},{"id":"W1666678427","doi":"10.1063/1.1473874","title":"The Weierstrass representation for surfaces immersed into R8 and CP2 maps","year":2002,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Generalization; Harmonic map; Euclidean geometry; Euclidean space; Metric (unit); Mathematics; Harmonic; Pure mathematics; Representation (politics); Interpretation (philosophy); Mathematical analysis; Space (punctuation); Physics; Geometry; Quantum mechanics; Computer science","score_opus":0.06595322104361971,"score_gpt":0.32115289761545096,"score_spread":0.25519967657183124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1666678427","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.585651,0.0022558616,0.39610884,0.007396851,0.00062247243,0.000914621,0.000012062836,0.000041556676,0.006996764],"genre_scores_gemma":[0.9606486,0.00020059306,0.037687168,0.00005733614,0.0005172091,0.000007985288,0.0000010978085,0.000028425708,0.00085160666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985978,0.00006110746,0.0006124932,0.00010798616,0.00043801503,0.00018261388],"domain_scores_gemma":[0.9965094,0.0023744188,0.000549068,0.00020792268,0.0002638495,0.000095384676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008556365,0.00013244683,0.00039987918,0.000047662415,0.00018461651,0.00012651552,0.00018989411,0.00006306445,0.000036471454],"category_scores_gemma":[0.0013028253,0.0000765453,0.00022129541,0.00029788818,0.000093215174,0.00020015499,0.00002897396,0.00019633054,0.000009604236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021019949,0.0014985607,0.00028846224,0.00097324286,0.001654841,0.0000167791,0.0064706854,0.00015818284,0.0027080262,0.7673804,0.15622729,0.062413316],"study_design_scores_gemma":[0.00052076514,0.00012708464,0.000055542147,0.00004892306,0.00026908555,0.000018579303,0.0014031681,0.007543506,0.00040466455,0.98806953,0.0014358213,0.00010335417],"about_ca_topic_score_codex":8.3657244e-7,"about_ca_topic_score_gemma":0.0000010016623,"teacher_disagreement_score":0.3749976,"about_ca_system_score_codex":0.000029104656,"about_ca_system_score_gemma":0.000011617577,"threshold_uncertainty_score":0.31214267},"labels":[],"label_agreement":null},{"id":"W1671362148","doi":"10.4171/jems/536","title":"On the motion of a curve by its binormal curvature","year":2015,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"University of Toronto; Agence Nationale de la Recherche","keywords":"Uniqueness; Curvature; Motion (physics); Mathematics; Property (philosophy); Mathematical analysis; Flow (mathematics); Geometry; Physics; Classical mechanics","score_opus":0.05388566375629758,"score_gpt":0.283860058818657,"score_spread":0.22997439506235942,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1671362148","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81239927,0.0050224266,0.076809555,0.018608421,0.0029133323,0.0023069694,0.00034544567,0.00011606738,0.08147853],"genre_scores_gemma":[0.9900433,0.00014361038,0.0051517575,0.00052855466,0.0009108836,0.000004140037,0.0000063177035,0.00012007245,0.0030913642],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9949666,0.0013435892,0.001469731,0.00023378497,0.0016904452,0.00029583878],"domain_scores_gemma":[0.993783,0.0012344024,0.0029740564,0.00095122296,0.00089809316,0.00015921165],"candidate_categories":["research_integrity"],"consensus_categories":[],"category_scores_codex":[0.009280342,0.00041261487,0.0009781708,0.00006209656,0.00013983724,0.00012588142,0.0018500427,0.00028791325,0.00021692614],"category_scores_gemma":[0.005372789,0.0001825461,0.002233313,0.0005489081,0.00016107169,0.00008745639,0.0009407967,0.0027372641,0.000045492532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029955656,0.0010622507,0.000035294517,0.000901271,0.0015854131,0.0000064943943,0.0031694744,0.00037729568,0.00026627217,0.035255127,0.9568066,0.0005045571],"study_design_scores_gemma":[0.0012342097,0.00028269607,0.00038596976,0.0029119935,0.0028586048,0.00010947303,0.0014889184,0.005958651,0.0008539753,0.97668254,0.0065061366,0.00072685216],"about_ca_topic_score_codex":7.204606e-7,"about_ca_topic_score_gemma":1.885929e-7,"teacher_disagreement_score":0.95030046,"about_ca_system_score_codex":0.00013381391,"about_ca_system_score_gemma":0.0001072269,"threshold_uncertainty_score":0.99956346},"labels":[],"label_agreement":null},{"id":"W1682300169","doi":"10.3842/sigma.2016.009","title":"Bipolar Lawson Tau-Surfaces and Generalized Lawson Tau-Surfaces","year":2016,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Research University Higher School of Economics","keywords":"Klein bottle; Torus; Equilateral triangle; Mathematics; Combinatorics; Mathematical physics; Physics; Geometry","score_opus":0.03848485412881028,"score_gpt":0.36198134908845137,"score_spread":0.32349649495964106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1682300169","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72398233,0.014544977,0.2571249,0.0023495727,0.000095277544,0.0008532532,0.00018479122,0.00015882842,0.00070607784],"genre_scores_gemma":[0.6049611,0.005668521,0.3868297,0.00020540821,0.00018139018,0.00026900612,0.000021498867,0.0000511663,0.0018122137],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996731,0.0006522535,0.0007653221,0.0010250508,0.0003361028,0.00049028575],"domain_scores_gemma":[0.99485815,0.0033723905,0.00031520217,0.0008315955,0.00025818966,0.00036446226],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004084314,0.00046700228,0.00092410174,0.00044125845,0.0005228934,0.00020349483,0.00028346106,0.00037828868,0.000271146],"category_scores_gemma":[0.0017768116,0.0002963103,0.000191506,0.0019563395,0.0005809622,0.00031371787,0.00021921465,0.00037647033,0.000012111366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003824084,0.00035707542,0.029487282,0.00034934573,0.000306979,7.070479e-7,0.00023596548,8.9095835e-7,0.00945085,0.25489682,0.00077665417,0.7040992],"study_design_scores_gemma":[0.0016610482,0.00029166002,0.03513373,0.0001496239,0.0007718744,0.00004099289,0.0020015955,0.0006483705,0.008497519,0.66272616,0.2867996,0.0012777968],"about_ca_topic_score_codex":0.00027021277,"about_ca_topic_score_gemma":0.00008240227,"teacher_disagreement_score":0.7028214,"about_ca_system_score_codex":0.000047587793,"about_ca_system_score_gemma":0.000033068307,"threshold_uncertainty_score":0.9999489},"labels":[],"label_agreement":null},{"id":"W1720713921","doi":"10.3968/j.sms.1923845220120202.001","title":"Delaunay-like Hypersurfaces in S n+1","year":2011,"lang":"en","type":"article","venue":"Studies in mathematical sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Delaunay triangulation; Mathematics; Mean curvature; Euclidean geometry; Combinatorics; Invariant (physics); Euclidean space; Constant (computer programming); Pure mathematics; Curvature; Mathematical analysis; Geometry; Mathematical physics; Computer science","score_opus":0.4170046092720952,"score_gpt":0.4264242428178984,"score_spread":0.009419633545803219,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1720713921","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9077851,0.0013366828,0.000494475,0.00015044528,0.00017616143,0.00020244457,6.552254e-7,0.000040619863,0.089813404],"genre_scores_gemma":[0.9552157,0.00013501708,0.04421365,0.000054343258,0.0000170711,0.000029958255,7.708068e-8,0.000006319897,0.00032787013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982138,0.000078921315,0.0005060669,0.00032716527,0.00046271397,0.00041128398],"domain_scores_gemma":[0.99871176,0.0008973779,0.00009413469,0.0001993218,0.000047294438,0.000050111877],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022337718,0.0001630291,0.00049709406,0.0003025452,0.000108695844,0.000023725257,0.0004239367,0.00006157436,0.00035987596],"category_scores_gemma":[0.0020946437,0.000103576014,0.0000795251,0.0020205313,0.00072019914,0.00018018708,0.00017369738,0.00015213732,0.00007461326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021871738,0.0014658498,0.06426474,0.00052019174,0.00018200617,0.00009981475,0.047517505,0.00003035293,0.000042244767,0.87955123,0.0028201735,0.0034840088],"study_design_scores_gemma":[0.00018774103,0.00007544945,0.002468038,0.00014302363,0.000026001311,0.0000050032922,0.022529371,0.00053519855,0.00005433008,0.973677,0.00010462255,0.00019424969],"about_ca_topic_score_codex":0.000023002045,"about_ca_topic_score_gemma":0.00021795451,"teacher_disagreement_score":0.094125725,"about_ca_system_score_codex":0.000045329627,"about_ca_system_score_gemma":0.000020383812,"threshold_uncertainty_score":0.42237073},"labels":[],"label_agreement":null},{"id":"W1742833723","doi":"10.3968/j.pam.1925252820120302.125","title":"Ricci Solitons in f - Kenmotsu Manifolds and 3-Dimensional Trans-Sasakian Manifolds","year":2012,"lang":"en","type":"article","venue":"Progress in applied mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Ricci-flat manifold; Pure mathematics; Manifold (fluid mechanics); Mathematics; Mathematical analysis; Physics; Geometry; Engineering; Scalar curvature","score_opus":0.03097972731552441,"score_gpt":0.2942971645830467,"score_spread":0.2633174372675223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1742833723","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9622963,0.0048530665,0.0039803945,0.00038219674,0.00022733475,0.001676495,0.000022336582,0.00021099563,0.02635086],"genre_scores_gemma":[0.871004,0.000047467744,0.12837596,0.000053054428,0.00010891309,0.00018426341,0.00001183838,0.00006204575,0.0001524734],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99720937,0.000046891713,0.0009071529,0.00038470115,0.0006042934,0.000847565],"domain_scores_gemma":[0.9985479,0.0004385852,0.00025286758,0.0005053995,0.000038180573,0.000217061],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001540045,0.0004163431,0.0007941989,0.00058077776,0.00008735805,0.000078615594,0.0002954986,0.0003048861,0.00018673953],"category_scores_gemma":[0.00007847403,0.00035483474,0.00011634263,0.0010661258,0.00012220941,0.00015663235,0.00014425434,0.00041956242,0.00003849098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043248696,0.0040392363,0.029967433,0.0013641478,0.00017162357,0.000037520287,0.0076440796,0.00001185298,0.0001501941,0.9403475,0.0011216438,0.015101516],"study_design_scores_gemma":[0.0075211623,0.00020677179,0.040991332,0.0010346501,0.0009398401,0.0002820045,0.0072249323,0.014120215,0.0017873043,0.9141137,0.008279782,0.0034983114],"about_ca_topic_score_codex":0.0000067875812,"about_ca_topic_score_gemma":0.000057015473,"teacher_disagreement_score":0.12439557,"about_ca_system_score_codex":0.00008933667,"about_ca_system_score_gemma":0.000028326134,"threshold_uncertainty_score":0.9998904},"labels":[],"label_agreement":null},{"id":"W1744831645","doi":"10.1007/s10231-016-0591-6","title":"Sobolev spaces of isometric immersions of arbitrary dimension and co-dimension","year":2016,"lang":"en","type":"article","venue":"Annali di Matematica Pura ed Applicata (1923 -)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Bounded function; Mathematics; Dimension (graph theory); Sobolev space; Hessian matrix; Degenerate energy levels; Isometric exercise; Rank (graph theory); Scalar (mathematics); Combinatorics; Rigidity (electromagnetism); Pure mathematics; Mathematical analysis; Physics; Geometry; Quantum mechanics","score_opus":0.03217813010309012,"score_gpt":0.30444108571404793,"score_spread":0.2722629556109578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1744831645","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9895599,0.0014019505,0.0046963324,0.0010547648,0.000054703247,0.0007599095,0.00012435447,0.000070198024,0.0022779198],"genre_scores_gemma":[0.99434644,0.00056637434,0.004302394,0.00005230858,0.000038689122,0.000049038026,0.000027520386,0.000044568107,0.00057265494],"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99712586,0.000113794624,0.0011205564,0.0004945694,0.00073839165,0.00040681983],"domain_scores_gemma":[0.9962767,0.0013604588,0.0008731802,0.0010178451,0.0002653157,0.00020653676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000883154,0.0003488641,0.001108123,0.00071910204,0.00011870338,0.000033246877,0.00037423585,0.00020814294,0.00042461918],"category_scores_gemma":[0.0005182365,0.00021377165,0.00024346363,0.0016883716,0.0002566743,0.00023151684,0.00022760937,0.00014300314,0.00009147151],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031813156,0.0033506488,0.01391613,0.0078900885,0.0018344502,0.0000188887,0.0011070103,0.0000039457013,0.54051083,0.29398176,0.123763785,0.0133043295],"study_design_scores_gemma":[0.008069718,0.0017761824,0.030012704,0.0062993313,0.0043706703,0.00017472445,0.005847772,0.001805723,0.65764856,0.26209384,0.018158142,0.003742638],"about_ca_topic_score_codex":0.0000307573,"about_ca_topic_score_gemma":0.0000017901884,"teacher_disagreement_score":0.11713772,"about_ca_system_score_codex":0.000019695566,"about_ca_system_score_gemma":0.00003282288,"threshold_uncertainty_score":0.8717355},"labels":[],"label_agreement":null},{"id":"W1767223197","doi":"10.48550/arxiv.1410.5547","title":"Radially Symmetric Solutions To The Graphic Willmore Surface Equation","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Lambda; Square-integrable function; Mean curvature; Combinatorics; Mathematics; Graph; Constant (computer programming); Curvature; Mathematical analysis; Minimal surface; Function (biology); Physics; Geometry; Optics","score_opus":0.14275767884901042,"score_gpt":0.21267224268752216,"score_spread":0.06991456383851175,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1767223197","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38862082,0.00020899891,0.60484064,0.0007507568,0.00061053544,0.00067567796,0.000042871194,0.00016304907,0.0040866523],"genre_scores_gemma":[0.99551576,0.00015307493,0.0011548206,0.0001585159,0.00020390097,0.0000018316155,0.000054109114,0.00003510259,0.002722893],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.997827,0.00032713116,0.00033279168,0.0008132029,0.00023636872,0.00046353106],"domain_scores_gemma":[0.99692374,0.0006719592,0.00039496674,0.0014385935,0.00036052213,0.00021020141],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001231139,0.000370902,0.0005274846,0.00087295484,0.0004111889,0.0001235992,0.0011327177,0.00038900468,0.00011195204],"category_scores_gemma":[0.0008707871,0.00031380614,0.000535362,0.004592199,0.000079788544,0.00011005254,0.0007932077,0.0007472441,0.00022721918],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019755518,0.00014023244,0.0016394766,0.00008618587,0.00040577093,0.000017913684,0.00019978748,0.5073632,0.000006338059,0.4795505,0.0102296835,0.0003411248],"study_design_scores_gemma":[0.0007410906,0.00013038957,0.005943474,0.00017232708,0.002381534,0.00000476037,0.0006382099,0.58262855,0.000011957079,0.39353576,0.012535461,0.0012764999],"about_ca_topic_score_codex":0.0003060223,"about_ca_topic_score_gemma":0.0005078667,"teacher_disagreement_score":0.6068949,"about_ca_system_score_codex":0.00019778544,"about_ca_system_score_gemma":0.00013548689,"threshold_uncertainty_score":0.9999314},"labels":[],"label_agreement":null},{"id":"W1769067054","doi":"10.1007/s00208-016-1402-5","title":"Lengths of three simple periodic geodesics on a Riemannian 2-sphere","year":2016,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Geodesic; Simple (philosophy); Geodesic map; Mathematical analysis; Pure mathematics","score_opus":0.06204838626640557,"score_gpt":0.2979746626072,"score_spread":0.23592627634079444,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1769067054","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9093627,0.00049148203,0.054427944,0.001606418,0.00009255447,0.0005480044,0.00009383948,0.00018680305,0.033190306],"genre_scores_gemma":[0.9874818,0.00004652704,0.007741629,0.00010861752,0.000120204044,0.0000390932,0.0000048016695,0.000060591592,0.0043967534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99784786,0.00006900925,0.0006488236,0.00037676515,0.000640594,0.00041693874],"domain_scores_gemma":[0.9975738,0.00071813224,0.00041953736,0.0009539368,0.00020085703,0.00013376116],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00071166776,0.000314634,0.0006898485,0.0001901184,0.000109118155,0.000040542174,0.00046374588,0.0001748061,0.0026661234],"category_scores_gemma":[0.000986893,0.0001880208,0.00035852133,0.0005825389,0.00011263833,0.00018245928,0.0001039949,0.00016439529,0.00043384518],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018380684,0.0019759175,0.009752632,0.0014635666,0.001491116,0.000060636165,0.00310641,0.000014472895,0.0045529697,0.6137477,0.17964278,0.18400797],"study_design_scores_gemma":[0.0024556408,0.00078975834,0.0077275233,0.0011522648,0.0006329736,0.00003925601,0.00076748664,0.0006115606,0.008465884,0.9007779,0.07530288,0.0012769102],"about_ca_topic_score_codex":0.0000146250695,"about_ca_topic_score_gemma":0.00007619264,"teacher_disagreement_score":0.28703016,"about_ca_system_score_codex":0.000030266669,"about_ca_system_score_gemma":0.0000526154,"threshold_uncertainty_score":0.9982456},"labels":[],"label_agreement":null},{"id":"W177832585","doi":"10.1016/j.aam.2012.08.005","title":"On the regularity of the <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math> Minkowski problem","year":2012,"lang":"lv","type":"article","venue":"Advances in Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McGill University","keywords":"Mathematics; Degenerate energy levels; Function (biology); Algorithm; Physics","score_opus":0.018500070458323678,"score_gpt":0.24742817187647448,"score_spread":0.2289281014181508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W177832585","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2858734,0.0023718006,0.002756008,0.00055323925,0.0014990502,0.000110741996,0.0001417167,0.00013327808,0.70656073],"genre_scores_gemma":[0.9764609,0.0015450619,0.017124454,0.0010429448,0.0011440642,0.001282965,0.000230933,0.0006133837,0.00055530283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9905065,0.000361218,0.0024377576,0.0013194698,0.00310406,0.0022710213],"domain_scores_gemma":[0.98841214,0.003962338,0.0033063788,0.0034852284,0.00017307972,0.00066082017],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0038457934,0.0009392013,0.0005594156,0.00051252276,0.0012026245,0.00075092365,0.0027783178,0.0019635959,0.26012325],"category_scores_gemma":[0.0029282675,0.0013451001,0.0017694482,0.0022173184,0.0015675967,0.0010197182,0.0019159508,0.0019860119,0.0014620265],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004201762,0.00080763275,0.000016654541,0.0028824392,0.0011367195,0.000113434005,0.0039083604,0.0014227697,0.0008091577,0.8302989,0.15625672,0.0019270086],"study_design_scores_gemma":[0.0017767071,0.00078534556,0.00005387832,0.0021336908,0.0024558934,0.00041977086,0.005506084,0.025929917,0.9416459,0.011802694,0.005817142,0.0016729683],"about_ca_topic_score_codex":0.0002525702,"about_ca_topic_score_gemma":0.00084733515,"teacher_disagreement_score":0.9408367,"about_ca_system_score_codex":0.000024789324,"about_ca_system_score_gemma":0.00079217297,"threshold_uncertainty_score":0.9993321},"labels":[],"label_agreement":null},{"id":"W1784952127","doi":"10.1090/crmp/056/06","title":"Five lectures on optimal transportation: Geometry, regularity and applications","year":2013,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematical economics; Distribution (mathematics); Mathematics; Function (biology); Population; Mass transportation; Mathematical optimization; Mathematical analysis; Engineering; Transport engineering","score_opus":0.019998520377636594,"score_gpt":0.25138212545246946,"score_spread":0.23138360507483285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1784952127","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009414751,0.008980674,0.0607901,0.002869284,0.00026704554,0.0039561186,0.00028074748,0.00075646007,0.9126848],"genre_scores_gemma":[0.9628799,0.0005946324,0.008284126,0.0010980456,0.0028278637,0.00047960205,0.00046435598,0.0003759706,0.022995517],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974142,0.0000042619763,0.0005864924,0.0009280839,0.00067871995,0.0003882597],"domain_scores_gemma":[0.99786323,0.00039339278,0.00055584806,0.00032192984,0.000663554,0.00020202129],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00021215745,0.00075185107,0.00092836685,0.00062991277,0.00031299994,0.0002746881,0.0003386584,0.0010508512,0.0009782179],"category_scores_gemma":[0.00035058832,0.00061539264,0.00034847078,0.00036118587,0.00014979647,0.00014000123,0.000033384276,0.0011133107,0.00007400222],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002409106,0.000054263972,0.00003313625,0.0004157604,0.00036993794,0.000003540266,0.00052012986,0.000025200128,0.000052790976,0.9760045,0.0029914107,0.019505287],"study_design_scores_gemma":[0.0002426097,0.00016549152,0.00027446516,0.00018129745,0.00083493086,0.00001746918,0.00003560435,0.000053955522,0.00039668116,0.87841994,0.11866394,0.0007136379],"about_ca_topic_score_codex":0.000016167915,"about_ca_topic_score_gemma":0.000020924288,"teacher_disagreement_score":0.95346516,"about_ca_system_score_codex":0.00007374643,"about_ca_system_score_gemma":0.000051690276,"threshold_uncertainty_score":0.99993503},"labels":[],"label_agreement":null},{"id":"W1824935108","doi":"10.1090/s1079-6762-07-00169-2","title":"Lengths of geodesics between two points on a Riemannian manifold","year":2007,"lang":"en","type":"article","venue":"Electronic Research Announcements of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Algorithm; Annotation; Computer science; Type (biology); Artificial intelligence; Mathematics; Biology","score_opus":0.07241964764025174,"score_gpt":0.41787742572966036,"score_spread":0.3454577780894086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1824935108","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9699813,0.00009981514,0.015741799,0.0012951624,0.000026897682,0.00088985066,0.000038270347,0.00003646083,0.0118904095],"genre_scores_gemma":[0.9925342,0.00006374224,0.006031333,0.00012682442,0.00010548035,0.000018165805,0.0000067801384,0.00003944876,0.0010740288],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99393487,0.00035491856,0.0009766776,0.0004130134,0.0029026454,0.0014178971],"domain_scores_gemma":[0.99459934,0.0028035594,0.00072890526,0.0011456978,0.0005384383,0.00018403027],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009960672,0.00027755066,0.00089548045,0.00017201416,0.000264861,0.00003462935,0.0012636399,0.000083186074,0.00014112228],"category_scores_gemma":[0.0019353636,0.00018179687,0.0007392008,0.0030207313,0.0008608906,0.00008992096,0.00036339884,0.001067248,0.000032872143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004365414,0.0042202803,0.012846648,0.0010157097,0.0040731416,0.000005218718,0.0033872095,0.000019859288,0.006534577,0.91743714,0.026537538,0.023486132],"study_design_scores_gemma":[0.0015106602,0.0020712467,0.0059577036,0.00033419565,0.00030980827,0.0000040898058,0.0037374313,0.0005932259,0.008096599,0.9718925,0.00500789,0.00048468594],"about_ca_topic_score_codex":0.00006751844,"about_ca_topic_score_gemma":0.000016937323,"teacher_disagreement_score":0.054455318,"about_ca_system_score_codex":0.00041962953,"about_ca_system_score_gemma":0.00023696633,"threshold_uncertainty_score":0.7413461},"labels":[],"label_agreement":null},{"id":"W1846795075","doi":"10.1007/s00526-015-0929-8","title":"A rigidity theorem for codimension one shrinking gradient Ricci solitons in $${\\mathbb {R}}^{n+1}$$ R n + 1","year":2015,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"McGill University","keywords":"Mathematics; Rigidity (electromagnetism); Codimension; Ricci curvature; Curvature; Stability theorem; Mathematical analysis; Pure mathematics; Mathematical physics; Geometry; Physics; Quantum mechanics","score_opus":0.11955034848157567,"score_gpt":0.32755027241161816,"score_spread":0.2079999239300425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1846795075","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11743052,0.00008361424,0.88114804,0.00025057676,0.00021634379,0.00045689987,0.00007086318,0.000028241551,0.00031487836],"genre_scores_gemma":[0.9964065,0.000010853226,0.003109811,0.000015028639,0.00013214501,0.000115709925,0.00010986045,0.000015293625,0.000084785795],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99839973,0.00012962274,0.00061632594,0.00027031646,0.00031259304,0.00027140565],"domain_scores_gemma":[0.9982644,0.000716754,0.00025359474,0.00028166245,0.00032130285,0.00016231574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060664664,0.00016719545,0.00042547443,0.00031737713,0.00018429558,0.00006147741,0.000118628304,0.00012528332,0.00007188859],"category_scores_gemma":[0.0015044624,0.00014789977,0.00015902304,0.00060265383,0.00006380966,0.00013739626,0.00007173563,0.00012223776,0.0000035353346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035330395,0.0006144027,0.00012705762,0.000033086813,0.000084790845,3.5284953e-7,0.0011125171,0.00020099939,0.0006129586,0.9961084,0.00023523312,0.0008348725],"study_design_scores_gemma":[0.0028006926,0.00026714802,0.003516868,0.00009654251,0.00073438155,0.0000017145245,0.0003866117,0.82947874,0.00090920494,0.16082822,0.00058791926,0.00039194067],"about_ca_topic_score_codex":0.00017824252,"about_ca_topic_score_gemma":0.00028188585,"teacher_disagreement_score":0.878976,"about_ca_system_score_codex":0.00005605878,"about_ca_system_score_gemma":0.00009826025,"threshold_uncertainty_score":0.60311776},"labels":[],"label_agreement":null},{"id":"W1864989511","doi":"10.1090/s0002-9939-05-08155-4","title":"The remainder in Weyl’s law for 𝑛-dimensional Heisenberg manifolds","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"McGill University; City University of New York; National Science Foundation","keywords":"Remainder; Mathematics; Pure mathematics; Algebra over a field; Arithmetic","score_opus":0.017184053845930674,"score_gpt":0.27237189559961,"score_spread":0.2551878417536793,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1864989511","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9324055,0.0013954912,0.0011071896,0.04192675,0.00023620468,0.003119636,0.00006280769,0.00010882325,0.019637646],"genre_scores_gemma":[0.9330166,0.00013028862,0.0594003,0.0019388819,0.00048016894,0.00016586905,0.0000017628139,0.00010667286,0.0047594346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957616,0.000036579517,0.0014585165,0.0005684995,0.0012187249,0.0009560824],"domain_scores_gemma":[0.9949165,0.0022475286,0.00157003,0.00048821425,0.00059866504,0.00017907274],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0029543887,0.0005200244,0.001264078,0.000055961184,0.00064732257,0.00021257797,0.0012744252,0.00021984143,0.000089151006],"category_scores_gemma":[0.0013796543,0.0002914604,0.001748483,0.001732724,0.0014599963,0.00021889745,0.0005169122,0.00067589025,0.00003852204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012465549,0.0012601512,0.0005116828,0.0011050575,0.0009200825,2.437483e-7,0.0030148358,0.000044467015,0.0013024958,0.9247821,0.06442427,0.0025099728],"study_design_scores_gemma":[0.0022766523,0.00041843188,0.0017549541,0.0010328181,0.0017062066,0.00004025415,0.01943899,0.058186185,0.0032452494,0.86995304,0.040689074,0.0012581593],"about_ca_topic_score_codex":0.000044279008,"about_ca_topic_score_gemma":0.00003961682,"teacher_disagreement_score":0.058293115,"about_ca_system_score_codex":0.00027500367,"about_ca_system_score_gemma":0.00008690076,"threshold_uncertainty_score":0.99995375},"labels":[],"label_agreement":null},{"id":"W1897146853","doi":"10.17323/1609-4514-2006-6-1-135-152","title":"On Affine Hypersurfaces with Everywhere Nondegenerate Second Quadratic Form","year":2006,"lang":"en","type":"article","venue":"Moscow Mathematical Journal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Killam Trusts; James S. McDonnell Foundation","keywords":"Mathematics; Affine transformation; Pure mathematics; Quadratic equation; Almost everywhere; Geometry","score_opus":0.017536301958784275,"score_gpt":0.2490071041821672,"score_spread":0.23147080222338293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1897146853","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89244854,0.0001681094,0.07792919,0.00058957795,0.00010224175,0.00023338819,0.0000067559868,0.00007538177,0.028446788],"genre_scores_gemma":[0.9114351,0.000006602274,0.06972465,0.00024506467,0.00038796972,0.000016059033,0.000005741474,0.000078886085,0.018099928],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973744,0.00008861307,0.0007668202,0.0002915409,0.00093753554,0.0005410707],"domain_scores_gemma":[0.9981581,0.0006377319,0.00038388916,0.0004067225,0.0002001714,0.0002134035],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00076490536,0.00038593987,0.0007089365,0.00023598659,0.000301055,0.00037349737,0.00032545984,0.00014953894,0.006422723],"category_scores_gemma":[0.0002635426,0.00023143004,0.00023858239,0.0006376203,0.00007738405,0.00026276286,0.00003733618,0.0005924383,0.000268491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00045073914,0.005089762,0.00075926824,0.0010491571,0.0014087381,0.00079974596,0.0010760376,0.0018874976,0.004873633,0.8019515,0.17683178,0.0038220992],"study_design_scores_gemma":[0.0020557274,0.00076473114,0.00025902133,0.0003653402,0.00044689598,0.000932834,0.0004958426,0.006141618,0.0025822716,0.98318446,0.0020412127,0.0007300639],"about_ca_topic_score_codex":0.0000032190214,"about_ca_topic_score_gemma":0.00006359121,"teacher_disagreement_score":0.1812329,"about_ca_system_score_codex":0.00009680115,"about_ca_system_score_gemma":0.000074104195,"threshold_uncertainty_score":0.99448556},"labels":[],"label_agreement":null},{"id":"W1910494600","doi":"10.1090/s0002-9947-02-03132-x","title":"Some properties of the Schouten tensor and applications to conformal geometry","year":2002,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":106,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Riemann curvature tensor; Weyl tensor; Ricci decomposition; Ricci curvature; Curvature of Riemannian manifolds; Invariant (physics); Conformal map; Curvature; Pure mathematics; Tensor (intrinsic definition); Tensor density; Mathematical physics; Conformal geometry; Eigenvalues and eigenvectors; Mathematical analysis; Scalar curvature; Tensor field; Geometry; Exact solutions in general relativity; Conformal field theory; Sectional curvature; Physics; Quantum mechanics","score_opus":0.03304259906961583,"score_gpt":0.2572522435634311,"score_spread":0.2242096444938153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1910494600","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87675154,0.00036041276,0.11557234,0.005162398,0.000042971245,0.0012186886,0.000048071055,0.00006105326,0.00078252493],"genre_scores_gemma":[0.986722,0.000056178087,0.011661129,0.00028371133,0.000031000567,0.00007635657,9.224722e-8,0.00001559591,0.001153925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987862,0.000042371106,0.0004251856,0.00014601299,0.0004116845,0.00018855397],"domain_scores_gemma":[0.99873453,0.00019783984,0.00027646736,0.00060503307,0.00011251182,0.00007359879],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025716142,0.00013761327,0.00043694887,0.000045908106,0.00021811464,0.000020780177,0.00046203862,0.000045476063,0.000116545154],"category_scores_gemma":[0.0001312303,0.000069949725,0.0004852776,0.0013498346,0.00064263126,0.000088897985,0.00004868784,0.00021298768,0.000010128692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025561693,0.015282752,0.0058536776,0.011397472,0.011429544,6.4590773e-7,0.06307274,0.0032770338,0.08209814,0.6140128,0.032431953,0.16088766],"study_design_scores_gemma":[0.006749798,0.0023897674,0.043768097,0.0027900413,0.015688427,0.00025506306,0.11700739,0.10090953,0.11841495,0.5538313,0.032749966,0.005445669],"about_ca_topic_score_codex":0.000020778505,"about_ca_topic_score_gemma":0.0000021729588,"teacher_disagreement_score":0.155442,"about_ca_system_score_codex":0.000023218669,"about_ca_system_score_gemma":0.0000144884925,"threshold_uncertainty_score":0.2852467},"labels":[],"label_agreement":null},{"id":"W1921484271","doi":"10.4310/jdg/1563242472","title":"Lorentzian Einstein metrics with prescribed conformal infinity","year":2019,"lang":"en","type":"preprint","venue":"Journal of Differential Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Diffeomorphism; Boundary (topology); Mathematics; Einstein; Hyperbolic space; Conformal map; Mathematical physics; Integer (computer science); Combinatorics; Mathematical analysis; Physics","score_opus":0.03751148762598496,"score_gpt":0.28096175269716894,"score_spread":0.24345026507118397,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1921484271","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92342615,0.0011152592,0.06942221,0.00009134202,0.0024664067,0.000447282,0.00007845315,0.000038839058,0.0029140734],"genre_scores_gemma":[0.9922428,0.00020762949,0.0048615737,0.000045923854,0.0010337579,0.0000052360656,0.000056998666,0.00008311399,0.0014629655],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9942994,0.00021029808,0.0020237397,0.00045380756,0.0023702083,0.00064255437],"domain_scores_gemma":[0.9926878,0.0006074354,0.0038866382,0.0010222158,0.0013855352,0.0004103324],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011327576,0.0007661318,0.0023738602,0.0035875947,0.000098407036,0.00045023908,0.0013462161,0.00085006084,0.0011022458],"category_scores_gemma":[0.0013164991,0.0005192247,0.0012647714,0.0021798913,0.000104067745,0.00033962546,0.00085981784,0.0032290784,0.000032559044],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0119544985,0.025332998,0.47856534,0.03026673,0.09182896,0.0020381657,0.008672237,0.0152519,0.0020482233,0.04637003,0.1545282,0.13314274],"study_design_scores_gemma":[0.08035628,0.026608203,0.44512308,0.020721458,0.08789959,0.0027372797,0.011330651,0.02488025,0.019055577,0.12983698,0.12686099,0.024589667],"about_ca_topic_score_codex":0.000033104945,"about_ca_topic_score_gemma":0.000018019757,"teacher_disagreement_score":0.108553074,"about_ca_system_score_codex":0.0001966139,"about_ca_system_score_gemma":0.00048184668,"threshold_uncertainty_score":0.9998109},"labels":[],"label_agreement":null},{"id":"W1943825635","doi":"10.1002/cpa.21615","title":"A Degenerate Isoperimetric Problem and Traveling Waves to a Bistable Hamiltonian System","year":2015,"lang":"en","type":"preprint","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Isoperimetric inequality; Conformal map; Degenerate energy levels; Mathematics; Mathematical analysis; Hamiltonian (control theory); Traveling wave; Euclidean geometry; Mathematical physics; Physics; Geometry; Quantum mechanics; Mathematical optimization","score_opus":0.09018758572435559,"score_gpt":0.3130270864934347,"score_spread":0.2228395007690791,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1943825635","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3924975,0.031603355,0.18900381,0.004983993,0.0004002163,0.013741655,0.0007097409,0.0016514745,0.36540824],"genre_scores_gemma":[0.5326228,0.00051112275,0.4654193,0.00008890058,0.00005647936,0.00048707458,0.00006483966,0.00008138292,0.0006680931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99769235,0.00008359852,0.0008910457,0.0005611796,0.00041828043,0.0003535343],"domain_scores_gemma":[0.9953729,0.00052005664,0.00049728976,0.0029975162,0.00029753984,0.00031468656],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014774952,0.00052817713,0.0010925881,0.00061578036,0.000403121,0.00047282327,0.0010766296,0.0004030169,0.0000066178777],"category_scores_gemma":[0.00023757237,0.000443139,0.00011232326,0.001131448,0.00010327954,0.000043110398,0.0018305093,0.0007956056,0.00003052785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016705446,0.00071684,0.000011522907,0.003696461,0.00045389432,0.0000018760437,0.006512345,0.00032473844,0.00032330962,0.9746744,0.0059388774,0.0073289974],"study_design_scores_gemma":[0.0023646692,0.00038601368,0.00005574832,0.0052911197,0.003738428,0.00010101954,0.028781675,0.071505636,0.0011841803,0.85587406,0.026722167,0.00399526],"about_ca_topic_score_codex":0.000014935953,"about_ca_topic_score_gemma":0.00004218475,"teacher_disagreement_score":0.36474016,"about_ca_system_score_codex":0.00012628586,"about_ca_system_score_gemma":0.00012889715,"threshold_uncertainty_score":0.99980205},"labels":[],"label_agreement":null},{"id":"W1963355172","doi":"10.1002/cpa.21650","title":"Mean Curvature Flow of Mean Convex Hypersurfaces","year":2016,"lang":"en","type":"preprint","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mean curvature flow; Mathematics; Convexity; Curvature; Regular polygon; Mathematical proof; Convex analysis; Mean curvature; Flow (mathematics); Gravitational singularity; Mathematical analysis; Pure mathematics; Geometry; Convex optimization","score_opus":0.06367979075342461,"score_gpt":0.30707604172123115,"score_spread":0.24339625096780654,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963355172","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18240121,0.030748352,0.13842808,0.014823058,0.0010367519,0.009162658,0.0024479274,0.0014232515,0.6195287],"genre_scores_gemma":[0.72632796,0.0022256982,0.2699891,0.00012594995,0.000089319125,0.00018037943,0.00014719531,0.000102658385,0.0008117686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975629,0.00009057703,0.0010159276,0.00047355716,0.0005582003,0.00029887923],"domain_scores_gemma":[0.9920251,0.0016004134,0.0010777235,0.004866494,0.00029228043,0.00013801346],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00095095125,0.00054751395,0.0013304418,0.0003387521,0.00023247013,0.00010250314,0.0019133043,0.0006562051,0.00009871384],"category_scores_gemma":[0.00025812004,0.00039606483,0.00029887568,0.00042941383,0.0003678098,0.000048272697,0.0016304433,0.0010353609,0.00003295018],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001494865,0.0009073971,0.000016421865,0.0014906191,0.0008038934,5.4451044e-7,0.0045706616,0.000029319115,0.00042173316,0.97691834,0.008022318,0.0068037817],"study_design_scores_gemma":[0.00062307215,0.000053158397,0.000018460922,0.0010851076,0.0011613762,0.0000048239895,0.0025880572,0.0024603428,0.0011194099,0.9813588,0.008778454,0.0007488877],"about_ca_topic_score_codex":0.0000023560856,"about_ca_topic_score_gemma":0.000030333027,"teacher_disagreement_score":0.61871696,"about_ca_system_score_codex":0.000045251323,"about_ca_system_score_gemma":0.00008622103,"threshold_uncertainty_score":0.99984914},"labels":[],"label_agreement":null},{"id":"W1964087482","doi":"10.1007/s11401-005-0575-0","title":"The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*","year":2006,"lang":"en","type":"article","venue":"Chinese Annals of Mathematics Series B","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Bar-Ilan University","keywords":"Christoffel symbols; Minkowski space; Curvature; Mathematics; Mathematical analysis; Mathematical physics; Geometry","score_opus":0.035326380771484596,"score_gpt":0.3031005807322987,"score_spread":0.2677741999608141,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964087482","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8215848,0.01118444,0.023528984,0.021113267,0.0007005815,0.0023253502,0.00013475704,0.0006137951,0.118814014],"genre_scores_gemma":[0.9580036,0.00020733326,0.021596605,0.00009780055,0.0004065766,0.000086608066,0.00004875872,0.0000779121,0.019474816],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99734294,0.00007406621,0.0010978846,0.0002814806,0.0007422402,0.00046136358],"domain_scores_gemma":[0.99630576,0.0011867761,0.0008161888,0.00095290015,0.0006567007,0.00008167665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013806786,0.00038946088,0.0007066654,0.00019654006,0.000709663,0.00014149275,0.0006451843,0.00018690407,0.000103481645],"category_scores_gemma":[0.0017986171,0.00022569725,0.00041845185,0.0013578369,0.00021128352,0.00032185082,0.00020392994,0.00030585227,0.000025787593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028700892,0.0010791451,0.000551391,0.00067266304,0.00039425533,0.0000060152206,0.0020725569,0.00015769986,0.0005242653,0.9103727,0.08335418,0.00078646006],"study_design_scores_gemma":[0.0002314397,0.00012198503,0.00036309304,0.00011154953,0.00012726462,0.000014331842,0.0004773501,0.001085249,0.00076626166,0.9768154,0.019564223,0.0003218217],"about_ca_topic_score_codex":0.0000343728,"about_ca_topic_score_gemma":0.00024163413,"teacher_disagreement_score":0.13641877,"about_ca_system_score_codex":0.000014261134,"about_ca_system_score_gemma":0.000058521488,"threshold_uncertainty_score":0.92036664},"labels":[],"label_agreement":null},{"id":"W1964216650","doi":"10.4310/jdg/1090340881","title":"Quaternionic Maps Between Hyperkähler Manifolds","year":2000,"lang":"en","type":"article","venue":"Journal of Differential Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Holomorphic function; Mathematics; Hyperkähler manifold; Pure mathematics; Cauchy–Riemann equations; Mathematical analysis; Quaternion; Kähler manifold; Ricci-flat manifold; Geometry","score_opus":0.03126172869480259,"score_gpt":0.28307231566516894,"score_spread":0.25181058697036635,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964216650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99409676,0.0003559733,0.0029954035,0.00018399877,0.00035899848,0.00006666189,0.000011664275,0.00002194263,0.0019086251],"genre_scores_gemma":[0.9922718,0.00013443003,0.00119461,0.00004354763,0.0013727973,9.806475e-7,0.00000875507,0.000033331762,0.0049397787],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.99743795,0.00011276641,0.0010074982,0.00018921122,0.00088077586,0.00037179294],"domain_scores_gemma":[0.9984629,0.000263617,0.00052329554,0.00032474456,0.00019626165,0.00022915419],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005393769,0.00025269185,0.0007932796,0.00075665937,0.0000952579,0.00012695503,0.0004922751,0.00020062315,0.011239748],"category_scores_gemma":[0.00015807863,0.00018203932,0.0006395354,0.0010201694,0.000035486755,0.00023279767,0.000047648085,0.0005168008,0.00020939746],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005935474,0.003718661,0.2570119,0.0005840967,0.007892478,0.00041319133,0.0010632431,0.00012332026,0.002406666,0.007992023,0.11327007,0.6049308],"study_design_scores_gemma":[0.010141244,0.0023547553,0.69581395,0.0006534044,0.0066236705,0.0007736321,0.0008225434,0.00022436952,0.0032863484,0.14076315,0.13602269,0.0025202723],"about_ca_topic_score_codex":0.000009308138,"about_ca_topic_score_gemma":0.0000029500532,"teacher_disagreement_score":0.60241055,"about_ca_system_score_codex":0.000058426045,"about_ca_system_score_gemma":0.000038042683,"threshold_uncertainty_score":0.98966414},"labels":[],"label_agreement":null},{"id":"W1964250113","doi":"10.1016/j.apnum.2010.10.006","title":"An efficient approach for the numerical solution of the Monge–Ampère equation","year":2010,"lang":"en","type":"article","venue":"Applied Numerical Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":78,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Institute for Pure and Applied Mathematics, University of California, Los Angeles","keywords":"Mathematics; Uniqueness; Convergence (economics); Parabolic partial differential equation; Mathematical analysis; Monge–Ampère equation; Numerical analysis; Nonlinear system; Elliptic curve; Elliptic partial differential equation; Partial differential equation; Applied mathematics","score_opus":0.03721484997748476,"score_gpt":0.2827128032451423,"score_spread":0.24549795326765755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964250113","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.036109105,0.000020399251,0.9608526,0.0002375035,0.00015065771,0.0011083799,0.000009606209,0.000059501246,0.0014522452],"genre_scores_gemma":[0.78055656,0.0000011205418,0.21894431,0.000055995053,0.00013787093,0.00020960321,0.000009792186,0.000034049775,0.00005070726],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9979764,0.00004861873,0.0006495455,0.0003070773,0.00068264455,0.0003357073],"domain_scores_gemma":[0.99674004,0.0013968069,0.0005195273,0.0010875502,0.00016570717,0.000090343616],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011131323,0.0002444934,0.00046977962,0.00006942384,0.00031459142,0.000056332643,0.00073859753,0.00019396418,0.000057212557],"category_scores_gemma":[0.0007917466,0.00012637582,0.0003122603,0.0010133935,0.00015115905,0.000040626142,0.000100730715,0.00041939082,0.000009255265],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004672583,0.00316354,0.00010884682,0.0003389573,0.00022926557,1.2286178e-7,0.0022618254,0.00829665,0.010387327,0.9631451,0.0016626876,0.010358965],"study_design_scores_gemma":[0.0003734034,0.000055942717,0.0003542082,0.000007651359,0.00040592073,0.0000043949085,0.0009016169,0.92901766,0.0014889215,0.06666384,0.00050222594,0.00022422713],"about_ca_topic_score_codex":0.000010378378,"about_ca_topic_score_gemma":0.0000016574811,"teacher_disagreement_score":0.920721,"about_ca_system_score_codex":0.000027041026,"about_ca_system_score_gemma":0.00003764142,"threshold_uncertainty_score":0.51534563},"labels":[],"label_agreement":null},{"id":"W1964339507","doi":"10.5539/jmr.v5n4p1","title":"On Complex Contact Similarity Manifolds","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Orbifold; Fibration; Holomorphic function; Complex projective space; Twistor space; Pure mathematics; Similarity (geometry); Torus; Quaternionic projective space; Complex geometry; Complex torus; Complex space; Hopf fibration; Space (punctuation); Twistor theory; Projective space; Combinatorics; Mathematical analysis; Projective test; Geometry; Homotopy","score_opus":0.27832426111190506,"score_gpt":0.4440902402856493,"score_spread":0.16576597917374425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964339507","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9495661,0.00013095402,0.009169575,0.0023167683,0.0001544274,0.0005547929,0.000004938598,0.000025051855,0.038077347],"genre_scores_gemma":[0.9703748,0.000044502212,0.027635615,0.00008753466,0.00020150695,0.000008374006,9.978297e-7,0.000033324224,0.00161331],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957607,0.0002906719,0.000979687,0.0001516245,0.00233236,0.00048497025],"domain_scores_gemma":[0.99304307,0.003840868,0.00050940225,0.0005163814,0.0018219899,0.0002682948],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00545674,0.0001810208,0.00066736934,0.0008961063,0.0001769653,0.00026644155,0.0007188711,0.00014947243,0.0045397826],"category_scores_gemma":[0.0046924246,0.00012024191,0.0003341453,0.00089270633,0.00006903076,0.00023395945,0.00012151889,0.0011077275,0.0004930947],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003843188,0.0031649924,0.00037048454,0.00055452576,0.0005824175,0.000112381706,0.0012332244,0.000022015593,0.0035507036,0.4190778,0.56885815,0.002434861],"study_design_scores_gemma":[0.0009354582,0.00087883126,0.0026162597,0.0002568946,0.00008427598,0.000133721,0.0026028885,0.0040779337,0.0004732357,0.9836815,0.0040321695,0.00022685053],"about_ca_topic_score_codex":0.000019868641,"about_ca_topic_score_gemma":0.0000076142146,"teacher_disagreement_score":0.56482595,"about_ca_system_score_codex":0.00014092553,"about_ca_system_score_gemma":0.00009628992,"threshold_uncertainty_score":0.9963702},"labels":[],"label_agreement":null},{"id":"W1965720776","doi":"10.1007/s12220-011-9264-2","title":"A Bernstein Type Theorem for Entire Willmore Graphs","year":2011,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Type (biology); Square (algebra); Square-integrable function; Willmore energy; Integrable system; Plane (geometry); Mathematical analysis; Pure mathematics; Geometry; Mean curvature; Principal curvature; Curvature","score_opus":0.05905193517431868,"score_gpt":0.29516605551897274,"score_spread":0.23611412034465407,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965720776","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75009567,0.003961588,0.24024804,0.0001513846,0.0004832789,0.00028782096,0.000027298245,0.00003975786,0.0047051487],"genre_scores_gemma":[0.97190076,0.00023255317,0.026189702,0.000055589047,0.0001575958,0.0000036700549,0.000008805792,0.000028205603,0.0014230908],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972787,0.00009739936,0.0011896996,0.00025260306,0.00080562924,0.00037600208],"domain_scores_gemma":[0.99560916,0.0006764223,0.0015171736,0.00047314266,0.0014946403,0.00022943631],"candidate_categories":["bibliometrics","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0022546025,0.00026079116,0.0012164853,0.008113861,0.00012485043,0.00006336053,0.0006062034,0.00017277215,0.0013071136],"category_scores_gemma":[0.002797325,0.0001832867,0.0021908055,0.026710242,0.000061325256,0.00026398816,0.000053869328,0.000283954,0.000011337804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016945916,0.0057504294,0.47758523,0.00053771026,0.13199177,0.00034459386,0.004848505,0.00046943314,0.0002201453,0.16541436,0.07166489,0.13947834],"study_design_scores_gemma":[0.0070472634,0.005218278,0.16275717,0.00020154483,0.1642687,0.00028794335,0.008381865,0.0049248827,0.001352899,0.59869885,0.044073615,0.0027869553],"about_ca_topic_score_codex":0.000047598936,"about_ca_topic_score_gemma":0.000036349757,"teacher_disagreement_score":0.43328452,"about_ca_system_score_codex":0.000066554334,"about_ca_system_score_gemma":0.000067998975,"threshold_uncertainty_score":0.99960583},"labels":[],"label_agreement":null},{"id":"W1966592586","doi":"10.4153/cmb-2013-016-7","title":"Curvature of <i>K</i>-contact Semi-Riemannian Manifolds","year":2013,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Sectional curvature; Curvature of Riemannian manifolds; Curvature; Manifold (fluid mechanics); Ricci-flat manifold; Pure mathematics; Riemannian manifold; Character (mathematics); Vector field; Prescribed scalar curvature problem; Riemann curvature tensor; Mathematical analysis; Scalar curvature; Geometry","score_opus":0.01502673466561302,"score_gpt":0.23040192057421752,"score_spread":0.2153751859086045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966592586","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61340386,0.0009960554,0.006665828,0.020356715,0.00030898993,0.002145332,0.00010519221,0.00024574695,0.3557723],"genre_scores_gemma":[0.9829789,0.000008863631,0.0066095325,0.000954434,0.000121872654,0.000066944966,0.000014591032,0.000058709753,0.00918617],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977229,0.00007871701,0.0007269873,0.0003485437,0.00044677965,0.0006760542],"domain_scores_gemma":[0.9974694,0.0004970551,0.00021575637,0.00073845056,0.0002762387,0.00080304506],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004921855,0.00032079642,0.0007281305,0.000372907,0.00010568613,0.00009965602,0.0004913801,0.0003172642,0.08136591],"category_scores_gemma":[0.0012499676,0.00026043758,0.00030783916,0.0006748417,0.00007845876,0.00007813939,0.00005050284,0.00036215156,0.010206554],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000043761534,0.00018347109,0.00046197965,0.00050314155,0.00024733166,0.000040553292,0.0004242218,0.0000018120625,0.0003694736,0.3872267,0.6091481,0.001388897],"study_design_scores_gemma":[0.0008403494,0.00017596227,0.0034405463,0.00045071117,0.00044929347,0.0000839021,0.000999595,0.0005841327,0.0005487524,0.60042524,0.39090332,0.0010981882],"about_ca_topic_score_codex":0.002416065,"about_ca_topic_score_gemma":0.001126583,"teacher_disagreement_score":0.36957502,"about_ca_system_score_codex":0.00010813475,"about_ca_system_score_gemma":0.00014053266,"threshold_uncertainty_score":0.9999848},"labels":[],"label_agreement":null},{"id":"W1967470977","doi":"10.4171/jems/5","title":"Corrigendum to: Stable ergodicity and julienne quasi-conformality, J. Eur. Math. Soc. 2, 1-52","year":2004,"lang":"en","type":"erratum","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Holonomy; Ergodicity; Ergodic theory; Mathematics; Conformal map; Homogeneous; Affine transformation; Domain (mathematical analysis); Pure mathematics; Point (geometry); Topology (electrical circuits); Mathematical analysis; Combinatorics; Geometry; Statistics","score_opus":0.03796106306952322,"score_gpt":0.2722243600341136,"score_spread":0.2342632969645904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967470977","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.043749783,0.009836615,0.23829082,0.01919582,0.06904209,0.00459191,0.00053532235,0.00053668517,0.614221],"genre_scores_gemma":[0.030927286,0.0027679142,0.10047567,0.005879646,0.013740709,0.000015657568,0.000041833024,0.0009219836,0.8452293],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99427086,0.0005669727,0.0021404116,0.00042930144,0.0018238884,0.00076857774],"domain_scores_gemma":[0.99516845,0.00033574997,0.002282782,0.0010248441,0.0006089063,0.0005792535],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0068227313,0.00071808754,0.0018116024,0.00014015453,0.00045164817,0.00043069376,0.0016996048,0.00045923938,0.00033552464],"category_scores_gemma":[0.0025323443,0.00042066872,0.002049862,0.0009383086,0.00026791578,0.00025131027,0.0010394155,0.0030732611,0.00018252923],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000139458425,0.00054938527,0.00001441197,0.0010401031,0.00067767774,0.000032588876,0.0019981693,0.0000099070185,0.000013094086,0.014943649,0.9801753,0.00053176127],"study_design_scores_gemma":[0.00197244,0.00058987975,0.0010583365,0.0038570063,0.0035150433,0.00090055953,0.0028160126,0.0010233882,0.00003396379,0.2220585,0.7606539,0.0015209381],"about_ca_topic_score_codex":0.0000072147664,"about_ca_topic_score_gemma":0.000005885435,"teacher_disagreement_score":0.23100834,"about_ca_system_score_codex":0.00034777378,"about_ca_system_score_gemma":0.00033854545,"threshold_uncertainty_score":0.9998245},"labels":[],"label_agreement":null},{"id":"W1967482343","doi":"10.1090/s0002-9947-2010-05159-1","title":"On the uniqueness of certain families of holomorphic disks","year":2010,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Mathematics; Holomorphic function; Geodesic; Uniqueness; Submanifold; Boundary (topology); Metric (unit); Injective function; Twistor theory; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.023890803864815978,"score_gpt":0.2826177251370613,"score_spread":0.25872692127224534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967482343","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8984944,0.000006492674,0.09935449,0.000956661,0.000035528752,0.00021723851,0.000031330204,0.000016876887,0.0008869448],"genre_scores_gemma":[0.9893807,0.000019715844,0.010267205,0.00006635006,0.000009157659,0.000018839,4.810437e-7,0.000016905686,0.00022061744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998617,0.0001109994,0.0005131819,0.00013512713,0.000460859,0.00016282269],"domain_scores_gemma":[0.9960506,0.0023714574,0.0005560143,0.00083300297,0.00014896518,0.00003996572],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006840045,0.00015287254,0.0005759634,0.000043111482,0.000113984286,0.000006870706,0.0005616561,0.00006897439,0.00037439412],"category_scores_gemma":[0.00043762306,0.00007634201,0.0008483361,0.0012034386,0.0013316605,0.00003279162,0.0000201881,0.00042435742,0.000002791652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009917685,0.0039602397,0.0007672303,0.0011865994,0.0019447462,3.5122605e-7,0.00903669,0.00055177644,0.07211673,0.9000318,0.002036851,0.00826777],"study_design_scores_gemma":[0.0005944159,0.0004204784,0.0042312252,0.0002493825,0.0014504964,0.00001010168,0.017329574,0.0068709026,0.08163753,0.8865717,0.000190222,0.000443971],"about_ca_topic_score_codex":0.00010072204,"about_ca_topic_score_gemma":0.0000182183,"teacher_disagreement_score":0.090886295,"about_ca_system_score_codex":0.000011848102,"about_ca_system_score_gemma":0.000039174676,"threshold_uncertainty_score":0.4906559},"labels":[],"label_agreement":null},{"id":"W1967803450","doi":"10.1016/j.aim.2010.12.009","title":"Differential Harnack inequalities on Riemannian manifolds I: Linear heat equation","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":105,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McGill University","keywords":"Harnack's inequality; Harnack's principle; Heat kernel; Ricci curvature; Mathematics; Bounded function; Curvature of Riemannian manifolds; Heat equation; Ricci flow; Mathematical analysis; Curvature; Pure mathematics; Riemannian manifold; Ricci-flat manifold; Scalar curvature; Sectional curvature; Geometry","score_opus":0.03928042836965888,"score_gpt":0.32548774482345133,"score_spread":0.28620731645379244,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967803450","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90878767,0.00017911148,0.07087736,0.00024978636,0.0009045296,0.0004648421,0.00001807431,0.00016609365,0.018352516],"genre_scores_gemma":[0.9430144,0.00014081948,0.054582845,0.000077392884,0.00035888012,0.000047248282,0.00002235466,0.000052065905,0.0017040222],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979591,0.00005884412,0.0007318986,0.00030608784,0.00058781967,0.00035628074],"domain_scores_gemma":[0.9981094,0.0008601093,0.0002179235,0.00062767806,0.00010223672,0.00008264201],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005252357,0.0002930211,0.00053072,0.00033495287,0.00009894159,0.00006821807,0.00033796433,0.00018368523,0.0008286487],"category_scores_gemma":[0.0011844854,0.0002340178,0.00015441375,0.0005773729,0.00006926668,0.00035352973,0.000066188324,0.0005146891,0.00012862611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002645725,0.0011260682,0.001382816,0.0006503222,0.000059474085,0.000014996766,0.0024989147,0.00035011183,0.0007642346,0.98837966,0.00040963892,0.004337313],"study_design_scores_gemma":[0.00096014707,0.00016109172,0.0006478042,0.00025691203,0.0001191543,0.000011055929,0.0015925835,0.032902762,0.0019101765,0.95142597,0.00936806,0.00064430246],"about_ca_topic_score_codex":0.000007730653,"about_ca_topic_score_gemma":0.00019501949,"teacher_disagreement_score":0.036953703,"about_ca_system_score_codex":0.000036432884,"about_ca_system_score_gemma":0.000019412832,"threshold_uncertainty_score":0.9542969},"labels":[],"label_agreement":null},{"id":"W1968357103","doi":"10.1007/s00526-006-0021-5","title":"Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows","year":2006,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Lagrangian; Symplectic geometry; Iterated function; Hamiltonian (control theory); Regular polygon; Hamiltonian system; Mathematical physics; Euclidean space; Lift (data mining); Mathematical analysis; Pure mathematics; Geometry; Mathematical optimization","score_opus":0.026738256692707404,"score_gpt":0.2749623712828706,"score_spread":0.2482241145901632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968357103","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24005052,0.00020478097,0.75869775,0.00012420306,0.000062129686,0.00051653024,0.00023661816,0.000018379114,0.00008907767],"genre_scores_gemma":[0.99621534,0.000021418955,0.0032341194,0.000008861049,0.000114159346,0.00016447711,0.00010734087,0.000013708153,0.00012059318],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986106,0.00007857915,0.00063518854,0.00027663587,0.00021523643,0.00018372493],"domain_scores_gemma":[0.9987498,0.0004098085,0.00021581458,0.0002591497,0.00023922953,0.00012618607],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017399174,0.00016713809,0.00039656588,0.00033917237,0.00027249721,0.00010914329,0.00007502656,0.00010206893,0.000028386878],"category_scores_gemma":[0.000158501,0.0001488563,0.00008540618,0.00057190977,0.000084079795,0.00011507835,0.000057123103,0.00007943763,0.0000018749826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000069552325,0.00041507097,0.00055005937,0.00010159917,0.00013907839,2.5942185e-7,0.00077790977,0.0012051917,0.007280375,0.98807347,0.00010945869,0.0013405995],"study_design_scores_gemma":[0.0015586322,0.00022733274,0.038471516,0.000101567355,0.0015077464,0.000008546887,0.0005210139,0.94957805,0.0007254158,0.0044789584,0.0022525638,0.00056863495],"about_ca_topic_score_codex":0.00061845774,"about_ca_topic_score_gemma":0.00036955444,"teacher_disagreement_score":0.9835945,"about_ca_system_score_codex":0.000012270179,"about_ca_system_score_gemma":0.000025876629,"threshold_uncertainty_score":0.6070184},"labels":[],"label_agreement":null},{"id":"W1971911267","doi":"10.1016/j.jfa.2012.02.004","title":"Short-time asymptotics of heat kernels of hypoelliptic Laplacians on unimodular Lie groups","year":2012,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Hypoelliptic operator; Mathematics; Unimodular matrix; Heat kernel; Lie group; Complexification; Heisenberg group; Pure mathematics; Simple Lie group; Nilpotent; Mathematical analysis","score_opus":0.040038859567227705,"score_gpt":0.2676277134191234,"score_spread":0.2275888538518957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971911267","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9432871,0.00066896144,0.05451384,0.00020104079,0.00020072509,0.000059744896,0.000024879073,0.000008081615,0.001035671],"genre_scores_gemma":[0.99613565,0.000085703876,0.0024477679,0.000048820817,0.00045387665,8.8315466e-7,0.00001385817,0.000018806108,0.0007946541],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9966546,0.00014286974,0.0013340617,0.0001485812,0.0014457932,0.00027405002],"domain_scores_gemma":[0.9970703,0.0007536156,0.00079953234,0.00030273676,0.0008704497,0.00020335442],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016445545,0.0002267036,0.0012006317,0.0015740059,0.00006208178,0.000018631274,0.00025945634,0.00015147065,0.001069368],"category_scores_gemma":[0.00054060353,0.00016716933,0.0015771572,0.0030386937,0.00007060242,0.00024486848,0.000038257007,0.00030066865,0.000024310692],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016658499,0.01538446,0.41764313,0.00061446097,0.11046992,0.00005908543,0.0016039287,0.31296945,0.03836414,0.06810698,0.025471792,0.0076467944],"study_design_scores_gemma":[0.003597976,0.0033850998,0.7609306,0.00046048564,0.11651344,0.00026932254,0.0025318884,0.05715557,0.011575551,0.03472149,0.006880908,0.001977677],"about_ca_topic_score_codex":0.0000068342515,"about_ca_topic_score_gemma":0.0000037411003,"teacher_disagreement_score":0.34328747,"about_ca_system_score_codex":0.00009607265,"about_ca_system_score_gemma":0.000051811083,"threshold_uncertainty_score":0.9998438},"labels":[],"label_agreement":null},{"id":"W1972048818","doi":"10.1016/j.crma.2004.12.010","title":"A theory of anti-selfdual Lagrangians: stationary case","year":2005,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mathematical physics; Pure mathematics; Mathematical analysis","score_opus":0.03712135796976447,"score_gpt":0.29504286731751,"score_spread":0.25792150934774555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972048818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95976967,0.001646514,0.03106771,0.0003183689,0.000076260585,0.00026907452,0.000076351476,0.00013409612,0.0066419346],"genre_scores_gemma":[0.9558227,0.00007214228,0.043029394,0.000098962846,0.0001166891,0.000018705037,0.000026225465,0.000029304556,0.0007858602],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984412,0.00018788576,0.000599823,0.00023240213,0.0002993035,0.00023934363],"domain_scores_gemma":[0.9980162,0.00093295856,0.0003222323,0.000455038,0.00018694824,0.00008662133],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00075470837,0.00020769986,0.00048379053,0.00029241768,0.00009040343,0.00003284073,0.00017832452,0.00013646067,0.0023033426],"category_scores_gemma":[0.00035260626,0.00017185816,0.00019628019,0.0006180431,0.00007033467,0.0001830799,0.0000668105,0.00021831738,0.00011860185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050652245,0.0016614478,0.001446449,0.0006582248,0.0008344559,0.00083641877,0.0067970725,0.0005299438,0.0020322278,0.8499048,0.094191276,0.04105707],"study_design_scores_gemma":[0.0058892667,0.00073931564,0.013169758,0.0009842031,0.0022327632,0.011094927,0.02013157,0.037629507,0.015206304,0.80485123,0.084404446,0.0036666996],"about_ca_topic_score_codex":0.000014514396,"about_ca_topic_score_gemma":0.000028217113,"teacher_disagreement_score":0.04505353,"about_ca_system_score_codex":0.00003327303,"about_ca_system_score_gemma":0.000045436038,"threshold_uncertainty_score":0.9986087},"labels":[],"label_agreement":null},{"id":"W1973988574","doi":"10.1088/0264-9381/30/20/205011","title":"The Lichnerowicz equation on compact manifolds with boundary","year":2013,"lang":"en","type":"article","venue":"Classical and Quantum Gravity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Uniqueness; Mathematics; Conformal map; Boundary (topology); Mathematical analysis; General relativity; Constraint (computer-aided design); Boundary value problem; Hamiltonian constraint; Ricci-flat manifold; Pure mathematics; Geometry; Mathematical physics; Physics; Curvature","score_opus":0.037803242251708495,"score_gpt":0.2705105572667003,"score_spread":0.2327073150149918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973988574","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9883439,0.00014203147,0.00233349,0.005929242,0.000079854915,0.00023225529,0.0000030451722,0.000053056476,0.0028831533],"genre_scores_gemma":[0.99793434,0.00002253451,0.00013800098,0.00017262052,0.00009539409,0.000013523395,0.000005582835,0.000011611664,0.0016064033],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893636,0.00008490792,0.00019563346,0.00021429067,0.00032709082,0.0002417162],"domain_scores_gemma":[0.99872714,0.0006775183,0.00009980578,0.0002855229,0.00008331537,0.00012669162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030395747,0.00015591245,0.00023361693,0.000047096517,0.00043248327,0.00025346215,0.00012431337,0.000081591446,0.000056256253],"category_scores_gemma":[0.00017555109,0.00007362478,0.00007669696,0.0003094289,0.00018360619,0.00010516416,0.000026629112,0.00025315618,0.00008945275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007324715,0.00037833213,0.0040679984,0.000035296736,0.00012581484,0.0000052118203,0.00011928685,0.0000026927155,0.00017438603,0.9280714,0.04715282,0.019793523],"study_design_scores_gemma":[0.0007547356,0.00088593306,0.1654986,0.00006187977,0.0001754804,0.000013927307,0.0003937977,0.016790347,0.00012719717,0.7483615,0.06651363,0.00042293366],"about_ca_topic_score_codex":0.000051170817,"about_ca_topic_score_gemma":0.00006451579,"teacher_disagreement_score":0.17970985,"about_ca_system_score_codex":0.00002237426,"about_ca_system_score_gemma":0.000020916968,"threshold_uncertainty_score":0.33263552},"labels":[],"label_agreement":null},{"id":"W1974118782","doi":"10.1016/j.jde.2008.09.011","title":"Global existence and blow-up for harmonic map heat flow","year":2008,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Harmonic map; Flow (mathematics); Heat flow; Harmonic; Mathematical analysis; Geometry; Meteorology; Acoustics; Geography","score_opus":0.0780694164874421,"score_gpt":0.31607834126446105,"score_spread":0.23800892477701896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974118782","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50966763,0.0004590483,0.48879498,0.00043379416,0.00042988962,0.000108453285,0.000024457395,0.000008447908,0.000073291616],"genre_scores_gemma":[0.981996,0.00006656152,0.017079744,0.000031824606,0.00032126746,0.0000052377645,0.000006083508,0.00000881504,0.00048448218],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988243,0.00003857488,0.0005041136,0.0001114611,0.00034877178,0.00017280332],"domain_scores_gemma":[0.99883235,0.0003292045,0.00023703302,0.00013671973,0.00034027774,0.00012441995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018135263,0.00012222322,0.00034723285,0.00013879158,0.00020622698,0.000051665385,0.00014713555,0.00007197079,0.0002072705],"category_scores_gemma":[0.00062292477,0.00009287272,0.00027927436,0.00028983608,0.000048931586,0.00015463082,0.000028717704,0.00011463011,0.0000037706493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015089895,0.0074917837,0.027606376,0.0014215909,0.008135251,0.00019802284,0.009131123,0.0011851151,0.007958945,0.60106385,0.2392565,0.095042445],"study_design_scores_gemma":[0.015717696,0.0024298395,0.06752154,0.00050852116,0.0058895475,0.0010255987,0.0015816877,0.20844603,0.0012009143,0.6834306,0.010605349,0.0016426411],"about_ca_topic_score_codex":0.00000547009,"about_ca_topic_score_gemma":0.000024880781,"teacher_disagreement_score":0.47232836,"about_ca_system_score_codex":0.00005410404,"about_ca_system_score_gemma":0.000081773374,"threshold_uncertainty_score":0.37872395},"labels":[],"label_agreement":null},{"id":"W1974798866","doi":"10.4153/cjm-2006-016-0","title":"Extremal Metric for the First Eigenvalue on a Klein Bottle","year":2006,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":68,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation; Fonds Québécois de la Recherche sur la Nature et les Technologies; National Science Foundation","keywords":"Klein bottle; Mathematics; Torus; Conjecture; Laplace operator; Eigenvalues and eigenvectors; Embedding; Metric (unit); Möbius strip; Combinatorics; Geodesic; Surface (topology); Equivalence of metrics; Infimum and supremum; Equilateral triangle; Pure mathematics; Metric space; Mathematical analysis; Convex metric space; Geometry; Quantum mechanics; Physics","score_opus":0.040550722618401744,"score_gpt":0.25841144615825073,"score_spread":0.21786072353984898,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974798866","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4123977,0.012409655,0.5275422,0.014404852,0.0028854136,0.0025708242,0.00020990592,0.000070081165,0.027509393],"genre_scores_gemma":[0.9644993,0.00001778307,0.032202426,0.00024080182,0.0007833477,0.000014832019,0.0000022643303,0.000056661465,0.0021825868],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99833447,0.000027198934,0.0007393449,0.00011632138,0.0004001183,0.00038254942],"domain_scores_gemma":[0.99651635,0.0019378787,0.00058977783,0.00037778064,0.0003441243,0.00023411831],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001458536,0.00019569519,0.00045092165,0.0007062655,0.00032002016,0.00014246537,0.0005119689,0.000109672445,0.00022302668],"category_scores_gemma":[0.0019815068,0.00012057269,0.00043718578,0.0009778206,0.00006095814,0.000078333556,0.000009817648,0.00025067604,0.000024714232],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019991427,0.00047175874,0.0011953489,0.00040789222,0.0006695784,0.00011801844,0.0010817635,0.001979453,0.00001630819,0.46980384,0.5204359,0.0038001537],"study_design_scores_gemma":[0.002242088,0.00069867674,0.0027113091,0.00048841693,0.0020780682,0.0004773905,0.0026540086,0.011614198,0.00048475797,0.45882198,0.5168817,0.00084737944],"about_ca_topic_score_codex":0.0005284621,"about_ca_topic_score_gemma":0.017328441,"teacher_disagreement_score":0.55210155,"about_ca_system_score_codex":0.00016260809,"about_ca_system_score_gemma":0.0003497781,"threshold_uncertainty_score":0.9669677},"labels":[],"label_agreement":null},{"id":"W1975525281","doi":"10.1016/s0375-9601(00)00268-1","title":"On the triviality of certain non-Riemannian models of gravitation","year":2000,"lang":"en","type":"article","venue":"Physics Letters A","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Triviality; Connection (principal bundle); Homogeneous; Gravitation; Lagrangian; Homogeneity (statistics); Einstein; Formalism (music)","score_opus":0.041776525635924544,"score_gpt":0.27284271512216346,"score_spread":0.23106618948623892,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975525281","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96376246,0.0000053407853,0.032943748,0.0013854281,0.000017331618,0.000146606,0.000013323167,0.0000070922856,0.0017186967],"genre_scores_gemma":[0.99858445,0.000002436175,0.0006741195,0.0005431679,0.00005130135,0.000008964595,0.0000068039835,0.000010088646,0.00011868897],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913496,0.00006676522,0.00026135443,0.00011951442,0.00030583973,0.00011154883],"domain_scores_gemma":[0.99901533,0.00038066081,0.00017502614,0.00035426498,0.000055601668,0.000019136849],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002912801,0.0000977211,0.00025590716,0.000041662046,0.000037447193,0.000009432305,0.00015904488,0.000028269289,0.000075825454],"category_scores_gemma":[0.00004662853,0.00006510685,0.00018542372,0.000523365,0.00004875313,0.000067920955,0.000009613899,0.00009809822,0.000006697852],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018769813,0.0016565241,0.0003935598,0.0003520822,0.00071348646,0.0000030090641,0.011312928,0.026474174,0.026078222,0.85585874,0.03932068,0.03764889],"study_design_scores_gemma":[0.00043756163,0.00007129027,0.0005426494,0.0000577262,0.00017522059,1.991873e-7,0.00015194742,0.01836498,0.006044024,0.9738519,0.00013079165,0.00017170372],"about_ca_topic_score_codex":0.000061275,"about_ca_topic_score_gemma":0.0000030745273,"teacher_disagreement_score":0.11799316,"about_ca_system_score_codex":0.000011763919,"about_ca_system_score_gemma":0.000008458944,"threshold_uncertainty_score":0.26549804},"labels":[],"label_agreement":null},{"id":"W1977455286","doi":"10.1016/j.difgeo.2007.12.001","title":"Spectral properties of bipolar minimal surfaces in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mi mathvariant=\"double-struck\">S</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math>","year":2008,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Torus; Eigenvalues and eigenvectors; Laplace operator; Combinatorics; Surface (topology); Klein bottle; Metric (unit); Mathematical analysis; Geometry; Physics","score_opus":0.026994629565747524,"score_gpt":0.24283753769710098,"score_spread":0.21584290813135346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977455286","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9923599,0.0016276198,0.0011771652,0.0001762975,0.0002377343,0.00012420025,0.00023348481,0.0000970832,0.0039665415],"genre_scores_gemma":[0.99582344,0.0009859587,0.0015290686,0.00007772901,0.00041789864,0.00040540934,0.0003174615,0.000118652795,0.00032437913],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99641484,0.000089350804,0.001034008,0.00077537016,0.0008996118,0.00078684406],"domain_scores_gemma":[0.99764204,0.00034993407,0.0006916274,0.0009004032,0.00012158973,0.0002944137],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004407424,0.00043925887,0.0004198511,0.0004835907,0.0006928839,0.00027327216,0.0006951896,0.0006635705,0.0018694636],"category_scores_gemma":[0.0002778415,0.00052316254,0.00053970376,0.001429012,0.0003932755,0.00046713775,0.00044200965,0.0006207067,0.0002510824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002815906,0.00057270523,0.00011510774,0.000568621,0.000551062,0.000040703602,0.0009775785,0.00012016708,0.0073937518,0.98710173,0.0015982807,0.0006786932],"study_design_scores_gemma":[0.0048409733,0.0012677625,0.0037947486,0.00067132217,0.0024562848,0.0007787823,0.0034060236,0.47139084,0.4949442,0.002447883,0.011684886,0.002316281],"about_ca_topic_score_codex":0.0003348838,"about_ca_topic_score_gemma":0.00016391282,"teacher_disagreement_score":0.98465383,"about_ca_system_score_codex":0.0000121868725,"about_ca_system_score_gemma":0.00023440228,"threshold_uncertainty_score":0.999722},"labels":[],"label_agreement":null},{"id":"W1978096043","doi":"10.1007/s00222-003-0332-5","title":"Singularity of mean curvature flow of Lagrangian submanifolds","year":2004,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mean curvature flow; Submanifold; Tangent cone; Singularity; Tangent; Mean curvature; Curvature; Lagrangian; Isolated singularity","score_opus":0.03902242256330194,"score_gpt":0.29099485864626257,"score_spread":0.2519724360829606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978096043","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84602016,0.0005414086,0.14443219,0.00039443964,0.00019188607,0.00048290976,0.000038402814,0.000112019676,0.0077866106],"genre_scores_gemma":[0.90697324,0.00000908721,0.09258213,0.000018342163,0.000048300077,0.000008936819,0.0000147226465,0.000026301279,0.00031896454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980083,0.000058185324,0.0008736739,0.00022446045,0.0006051081,0.00023023618],"domain_scores_gemma":[0.99821806,0.00016435205,0.00059055875,0.00061670085,0.00032880675,0.0000815045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008116314,0.00021049219,0.00068976794,0.00030696427,0.00006221532,0.000021146616,0.00031167967,0.00018359823,0.00035808916],"category_scores_gemma":[0.00059340626,0.00017284443,0.0005095375,0.0011074212,0.0001159861,0.00014643164,0.000066273344,0.00016329715,0.000026794687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001302526,0.0012924368,0.00032614393,0.0015600738,0.00037872777,0.000005424421,0.0021370219,0.00005033513,0.002221239,0.9910167,0.000466892,0.0005319998],"study_design_scores_gemma":[0.00064306264,0.00006932403,0.0006869397,0.00039432637,0.00042520437,0.0000131419665,0.00049367634,0.00022120586,0.0071357684,0.9895789,0.00014684223,0.00019158551],"about_ca_topic_score_codex":0.00003358649,"about_ca_topic_score_gemma":0.0000975295,"teacher_disagreement_score":0.060953073,"about_ca_system_score_codex":0.000033393713,"about_ca_system_score_gemma":0.000045752593,"threshold_uncertainty_score":0.70483917},"labels":[],"label_agreement":null},{"id":"W1980340706","doi":"10.1007/bf02785426","title":"Minimal entropy rigidity for foliations of compact spaces","year":2002,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bank of Canada; Government of Nova Scotia","funders":"","keywords":"Mathematics; Rigidity (electromagnetism); Corollary; Pure mathematics; Entropy (arrow of time)","score_opus":0.09174183043683784,"score_gpt":0.32428975810019384,"score_spread":0.232547927663356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980340706","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86115,0.0010154116,0.13370961,0.0010034862,0.00029663363,0.00034688495,0.00005738863,0.000020751098,0.0023998285],"genre_scores_gemma":[0.83819187,0.000080697675,0.16080718,0.000026747888,0.00022941965,0.0000017557478,0.0000011277575,0.000023551675,0.00063764636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979484,0.00004746571,0.0011280057,0.00009078243,0.0005666438,0.00021868499],"domain_scores_gemma":[0.9959291,0.0013826631,0.0016837262,0.00027136065,0.0006207598,0.00011238549],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009476721,0.0001725085,0.00077194563,0.00033224214,0.000070354516,0.000050421004,0.0003272045,0.000094831375,0.00023886324],"category_scores_gemma":[0.0019134366,0.00012576515,0.0005725526,0.00042455416,0.00005355906,0.00013663157,0.000019495652,0.00017300305,0.000009846032],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011883264,0.011298873,0.007824551,0.003228637,0.0039059685,0.00004005418,0.011050045,0.00048001204,0.005705701,0.66178626,0.29068118,0.0038798924],"study_design_scores_gemma":[0.008512302,0.0027323808,0.0017560208,0.0013642942,0.005993173,0.000614287,0.01803256,0.06724643,0.013348979,0.8328373,0.046194877,0.00136739],"about_ca_topic_score_codex":0.0000030382907,"about_ca_topic_score_gemma":0.0000056306462,"teacher_disagreement_score":0.24448632,"about_ca_system_score_codex":0.000040213818,"about_ca_system_score_gemma":0.000027921886,"threshold_uncertainty_score":0.5128554},"labels":[],"label_agreement":null},{"id":"W1980658152","doi":"10.1093/imrn/rnu192","title":"Uniqueness Theorems for Free Boundary Minimal Disks in Space Forms","year":2014,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Submanifold; Uniqueness; Mean curvature; Ball (mathematics); Geodesic; Mathematical analysis; Constant (computer programming); Constant curvature; Curvature; Dimension (graph theory); Boundary (topology); Pure mathematics; Geometry","score_opus":0.15738872960247716,"score_gpt":0.454443950244773,"score_spread":0.29705522064229584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980658152","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71294606,0.00081677403,0.17821927,0.009793915,0.0022195878,0.004904648,0.000839016,0.0002493715,0.09001136],"genre_scores_gemma":[0.8906234,0.000107636704,0.10348374,0.000043103904,0.0007521196,0.00089536066,0.00021861473,0.0001372931,0.0037387537],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9942028,0.00028816983,0.0012491029,0.00083372346,0.0026024098,0.00082380057],"domain_scores_gemma":[0.98817354,0.007923086,0.0006969559,0.0014802075,0.0015450087,0.00018120816],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.008611565,0.00050052244,0.0010116176,0.0018043454,0.00019169334,0.0009839947,0.0034345386,0.00060364214,0.00030266918],"category_scores_gemma":[0.015716255,0.0003991035,0.0004983814,0.00060972763,0.0003335057,0.00026271402,0.002319818,0.0016574867,0.000044384193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013008222,0.0011317951,0.0003805894,0.0032130238,0.00063187454,0.000021273818,0.0020608618,0.00068551867,0.000060764098,0.980841,0.009274061,0.0015692028],"study_design_scores_gemma":[0.0006906517,0.000084378466,0.00013283685,0.00095010415,0.000075183314,0.000003734174,0.0010686647,0.07135963,0.00025776296,0.9146673,0.010297203,0.00041257156],"about_ca_topic_score_codex":0.00012873797,"about_ca_topic_score_gemma":0.0005991356,"teacher_disagreement_score":0.17767733,"about_ca_system_score_codex":0.0004360555,"about_ca_system_score_gemma":0.00035812738,"threshold_uncertainty_score":0.9998461},"labels":[],"label_agreement":null},{"id":"W1983705527","doi":"10.1007/s10711-007-9169-1","title":"New techniques in Lorentz manifolds: foreword","year":2007,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Hyperbolic geometry; Differential geometry; Algebraic geometry; Projective geometry; Lorentz transformation; Mathematics; Pure mathematics; Theoretical physics; Topology (electrical circuits); Classical mechanics; Physics; Combinatorics","score_opus":0.035077410466400054,"score_gpt":0.31764249861128524,"score_spread":0.2825650881448852,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983705527","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1388133,0.0032034877,0.7971596,0.0012939596,0.00071596075,0.0012119786,0.000025513082,0.0007387898,0.056837417],"genre_scores_gemma":[0.8794565,0.00022479388,0.11435167,0.00040057042,0.0012756609,0.000021218179,0.00007784395,0.00007512171,0.0041165967],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9972045,0.00003492609,0.0008296303,0.00046830377,0.00076872273,0.0006939441],"domain_scores_gemma":[0.9978342,0.0006872098,0.00026155237,0.00082115695,0.00008729688,0.00030858506],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0031623067,0.00026768123,0.0005401005,0.0029940032,0.00006134653,0.00006651424,0.0007036629,0.0003001442,0.0011488961],"category_scores_gemma":[0.0023064963,0.00022930237,0.00021382885,0.007635719,0.00003718975,0.0002014268,0.00019304779,0.0004234721,0.0001555965],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000100279474,0.0004952471,0.03234215,0.000103474245,0.00019769142,0.00016079926,0.00028052108,6.4083486e-7,0.00022129396,0.034003783,0.2198245,0.7122696],"study_design_scores_gemma":[0.0035744056,0.00044379616,0.06445963,0.0003312316,0.00045269565,0.00008294356,0.0011784316,0.000073783995,0.016692441,0.24932875,0.6616709,0.0017109517],"about_ca_topic_score_codex":0.00026767942,"about_ca_topic_score_gemma":0.0006319571,"teacher_disagreement_score":0.7406432,"about_ca_system_score_codex":0.000120467106,"about_ca_system_score_gemma":0.00007427477,"threshold_uncertainty_score":0.9997642},"labels":[],"label_agreement":null},{"id":"W1984082796","doi":"10.1142/s0219530507001000","title":"ON GEODESICS IN SUBRIEMANNIAN GEOMETRY II","year":2007,"lang":"en","type":"article","venue":"Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Geodesic; Mathematics; Geometry; Mathematical analysis","score_opus":0.0174130489304045,"score_gpt":0.3019650920722483,"score_spread":0.2845520431418438,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984082796","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6604271,0.0001827231,0.33212897,0.0002531831,0.000006773142,0.0001887477,0.000007419427,0.000034192988,0.0067708795],"genre_scores_gemma":[0.9960176,0.000049307688,0.0025783943,0.00018659109,0.00005107512,0.000038456772,0.000029052417,0.0000091175925,0.0010404282],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988605,0.000016323947,0.0003731589,0.0003029968,0.00021993804,0.00022710115],"domain_scores_gemma":[0.99893934,0.0003627542,0.0001188073,0.0004190441,0.00006268585,0.000097393524],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083530846,0.00012472435,0.00033200806,0.00115092,0.00018836603,0.000035573,0.00013065814,0.00008658189,0.000102984704],"category_scores_gemma":[0.00008986839,0.00010657942,0.00017812187,0.0065032262,0.000035004927,0.000048095168,0.000041963463,0.0001487969,0.000015734857],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010417989,0.00074149016,0.06358468,0.000021689486,0.00086937717,0.0000044028643,0.0002479068,0.00022608049,0.00008323897,0.87687594,0.0007630648,0.056571707],"study_design_scores_gemma":[0.000773933,0.00011330265,0.34562457,0.000021107933,0.0037645076,0.0000032562339,0.00072860956,0.0037837718,0.00041858514,0.5939706,0.04998548,0.0008123136],"about_ca_topic_score_codex":0.0000841093,"about_ca_topic_score_gemma":0.0008470094,"teacher_disagreement_score":0.33559045,"about_ca_system_score_codex":0.000027033353,"about_ca_system_score_gemma":0.000008058076,"threshold_uncertainty_score":0.43461826},"labels":[],"label_agreement":null},{"id":"W1985055909","doi":"10.4153/cmb-2001-043-2","title":"Ergodic Rotations of Nilmanifolds Conjugate to Their Inverses","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Trent University","funders":"","keywords":"Mathematics; Ergodic theory; Pure mathematics; Conjugate; Inverse; Lie algebra; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.03768293360162328,"score_gpt":0.26622952322572463,"score_spread":0.22854658962410135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1985055909","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8759256,0.00011475412,0.011062021,0.010886503,0.00010590711,0.0007046845,0.00007091953,0.00008958334,0.101040006],"genre_scores_gemma":[0.985662,0.0000113916385,0.0069775237,0.0011713103,0.00006588508,0.00004296355,0.000009083759,0.000035018442,0.006024812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984177,0.00006252691,0.000537911,0.00025061093,0.00027520262,0.0004560894],"domain_scores_gemma":[0.99794644,0.00052959565,0.0001121309,0.00049240905,0.00019051472,0.0007289227],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00046527904,0.00021082655,0.0004922428,0.00048304957,0.000111091504,0.000047412173,0.00032353724,0.00012722333,0.025465775],"category_scores_gemma":[0.0018034271,0.00017303774,0.00018814056,0.0009440839,0.00007578401,0.000030701704,0.00003851685,0.00014869068,0.0049157753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001539555,0.00023360876,0.0007198754,0.00017274267,0.00021724733,0.00007491615,0.0016768503,0.00003536227,0.00020662387,0.75766355,0.23651496,0.0024688537],"study_design_scores_gemma":[0.0006509956,0.00018624657,0.00088111626,0.00028693126,0.00026906194,0.00007748044,0.0028225938,0.0004654354,0.00053905905,0.32376912,0.6692947,0.00075721653],"about_ca_topic_score_codex":0.0010068379,"about_ca_topic_score_gemma":0.005078025,"teacher_disagreement_score":0.43389446,"about_ca_system_score_codex":0.00009402231,"about_ca_system_score_gemma":0.00014885468,"threshold_uncertainty_score":0.995859},"labels":[],"label_agreement":null},{"id":"W1986639901","doi":"10.4153/cmb-2009-003-4","title":"Harmonicity of Holomorphic Maps Between Almost Hermitian Manifolds","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Holomorphic function; Mathematics; Hermitian matrix; Conformal map; Pure mathematics; Hermitian manifold; Identity theorem; Mathematical analysis; Geometry; Ricci curvature","score_opus":0.0393964639697252,"score_gpt":0.26930696282203864,"score_spread":0.22991049885231343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986639901","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8040346,0.00036755519,0.006034281,0.02275645,0.00009969385,0.0009407015,0.00028493654,0.00017783135,0.16530398],"genre_scores_gemma":[0.9907234,0.0000059108615,0.0054481076,0.0007061571,0.00012438881,0.000007777066,0.00003052949,0.000031327778,0.002922401],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976709,0.0001229537,0.0007597084,0.00034761018,0.00045100442,0.0006478566],"domain_scores_gemma":[0.997677,0.00054151134,0.0002137564,0.0006519177,0.00015544421,0.0007603216],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00095787685,0.00029403187,0.0008091227,0.00037729123,0.0001448252,0.000057280886,0.00048718438,0.00027602975,0.013640226],"category_scores_gemma":[0.0012952705,0.00026067637,0.00029077972,0.00069557794,0.00010390466,0.000038185844,0.000029695337,0.00040528917,0.002601823],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018248662,0.00056066614,0.0020992155,0.00055913016,0.00042835384,0.00033272218,0.00079687504,0.000003951887,0.00019794112,0.6282403,0.35560977,0.011152837],"study_design_scores_gemma":[0.0009345743,0.00033569,0.011231315,0.00034285485,0.00064005924,0.000080067606,0.0005683212,0.00011149674,0.0008187368,0.88932705,0.09461091,0.0009989096],"about_ca_topic_score_codex":0.00049335946,"about_ca_topic_score_gemma":0.0004298259,"teacher_disagreement_score":0.2610868,"about_ca_system_score_codex":0.00012682051,"about_ca_system_score_gemma":0.00014416825,"threshold_uncertainty_score":0.99998456},"labels":[],"label_agreement":null},{"id":"W1987511869","doi":"10.4153/cmb-2007-031-4","title":"On Lagrangian Catenoids","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Submanifold; Mathematics; Lagrangian; Second fundamental form; Homothetic transformation; Geodesic; Mathematical analysis; Pure mathematics; Geometry; Mean curvature; Curvature","score_opus":0.020710279633120596,"score_gpt":0.26189970976748217,"score_spread":0.24118943013436156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987511869","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2782292,0.00011112862,0.028807687,0.009280105,0.00022136878,0.00055505347,0.000023578303,0.00020174551,0.6825701],"genre_scores_gemma":[0.97822195,0.0000015857689,0.005389975,0.0019709032,0.00014885815,0.000009747149,0.000008493481,0.000047347356,0.014201111],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807435,0.00003632584,0.00044396234,0.0002963704,0.00039489064,0.00075409265],"domain_scores_gemma":[0.99745953,0.00094388623,0.00007770549,0.0005046722,0.00009581434,0.0009183885],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0013489316,0.00023339802,0.0003756705,0.0005055248,0.00015812696,0.00007057024,0.00030544988,0.00020599627,0.032148246],"category_scores_gemma":[0.0020255912,0.00018949548,0.00019564512,0.0006434733,0.00006947216,0.000019330717,0.000019674088,0.0003108089,0.021168573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008067038,0.00009738053,0.000030756306,0.000053208194,0.000049643255,0.0001282894,0.00016727432,0.0000011427865,0.000013966801,0.8488576,0.14845867,0.0021340237],"study_design_scores_gemma":[0.00043231074,0.00011006769,0.00045752816,0.0000959299,0.00011597596,0.0000395043,0.00042387488,0.000069073634,0.0001751699,0.69799,0.299555,0.0005355911],"about_ca_topic_score_codex":0.0005937633,"about_ca_topic_score_gemma":0.003908402,"teacher_disagreement_score":0.6999928,"about_ca_system_score_codex":0.00018808599,"about_ca_system_score_gemma":0.000078980745,"threshold_uncertainty_score":0.9795936},"labels":[],"label_agreement":null},{"id":"W1988612745","doi":"10.5402/2012/983403","title":"A Review on Metric Symmetries Used in Geometry and Physics","year":2012,"lang":"en","type":"review","venue":"ISRN Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Homothetic transformation; Sketch; Homogeneous space; Mathematical proof; Metric (unit); Conformal map; Focus (optics); Theoretical physics; Mathematics; Pure mathematics; Characterization (materials science); Geometry; Algebra over a field; Physics; Engineering; Algorithm; Optics","score_opus":0.10899909860691225,"score_gpt":0.3661834817986418,"score_spread":0.25718438319172954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988612745","genre_codex":"review","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"review","genre_consensus":"review","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000030259363,0.9964071,0.00035737496,0.000041732605,0.0003766126,0.0014042668,0.00009303546,0.000105347004,0.0011842616],"genre_scores_gemma":[0.000117163414,0.9964506,0.0009767703,0.0004585556,0.00057766243,0.0001862127,0.00013866744,0.00019736626,0.00089700235],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99404985,0.00053287885,0.0019673228,0.0011222879,0.0011617688,0.0011658851],"domain_scores_gemma":[0.99217576,0.0042651948,0.0013644473,0.0016128997,0.00020983291,0.0003718435],"candidate_categories":["metaepi_narrow","bibliometrics"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0033502586,0.001324498,0.0066143717,0.0050298334,0.0001238063,0.00015405947,0.0008295783,0.00091990945,0.00035387976],"category_scores_gemma":[0.0054143397,0.0009944334,0.0014124012,0.03220862,0.00011498387,0.0003028037,0.00039779223,0.0018896585,0.00049929426],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000020622626,0.00038943117,0.00020378565,0.1018809,0.00050916726,0.0000148264035,0.000017702525,1.5793319e-7,1.1234342e-8,0.0029778474,0.0047781663,0.88922596],"study_design_scores_gemma":[0.00029522204,0.00008662896,0.000056046363,0.04616419,0.0051056836,0.000038076432,0.000035545458,0.0000024241237,4.0003346e-7,0.0013882988,0.9457718,0.001055653],"about_ca_topic_score_codex":0.000028731854,"about_ca_topic_score_gemma":0.000018021012,"teacher_disagreement_score":0.94099367,"about_ca_system_score_codex":0.00034528231,"about_ca_system_score_gemma":0.00016419282,"threshold_uncertainty_score":0.99995065},"labels":[],"label_agreement":null},{"id":"W1990419886","doi":"10.1007/s00039-014-0283-6","title":"Converting homotopies to isotopies and dividing homotopies in half in an effective way","year":2014,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Bounded function; Homotopy; Intersection (aeronautics); Space (punctuation); Pure mathematics; Transversal (combinatorics); Riemannian manifold; Simple (philosophy); Manifold (fluid mechanics); Mathematical analysis","score_opus":0.019976062376803435,"score_gpt":0.2554965242261412,"score_spread":0.23552046184933778,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990419886","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9713907,0.0011131141,0.026544709,0.00028502065,0.000071311,0.00020502761,0.0000049030164,0.00003620028,0.00034896968],"genre_scores_gemma":[0.9980083,0.0000687853,0.0011351414,0.00010317011,0.00011027645,0.00007384965,0.000016248125,0.000013686607,0.00047052963],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9981284,0.0001353748,0.00046936248,0.0005713741,0.00036266944,0.0003328003],"domain_scores_gemma":[0.9981703,0.0012583702,0.00009911052,0.00021742166,0.000110076726,0.00014472094],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013651723,0.00024414275,0.000719386,0.006235128,0.00013981972,0.00017279424,0.00009310055,0.00012112833,0.00010530712],"category_scores_gemma":[0.0013555051,0.0001993144,0.00016321152,0.01198693,0.00005952433,0.00027067558,0.00012795262,0.00023225752,0.000011932703],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032945987,0.00015650415,0.9154192,0.0001221017,0.0006731319,0.000007216547,0.001054919,0.0006916461,0.000060860162,0.013636664,0.00008826557,0.0680565],"study_design_scores_gemma":[0.0004240833,0.00014869457,0.9663243,0.000038990125,0.0007157851,0.000003925212,0.00111326,0.014679662,0.00003262355,0.015384055,0.0008166534,0.00031791857],"about_ca_topic_score_codex":0.00048978825,"about_ca_topic_score_gemma":0.0014904822,"teacher_disagreement_score":0.06773858,"about_ca_system_score_codex":0.00006195728,"about_ca_system_score_gemma":0.0000066270454,"threshold_uncertainty_score":0.8127805},"labels":[],"label_agreement":null},{"id":"W1990578256","doi":"10.1007/s00208-010-0550-2","title":"Foliations of asymptotically flat manifolds by surfaces of Willmore type","year":2010,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Foliation (geology); Willmore energy; Type (biology); Constraint (computer-aided design); Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Geometry; Scalar curvature; Sectional curvature; Curvature","score_opus":0.02486734383243172,"score_gpt":0.2956172470360509,"score_spread":0.2707499032036192,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990578256","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98380786,0.00026062253,0.0027520757,0.00029260485,0.00010065731,0.0001843966,0.000051625568,0.000040302577,0.012509866],"genre_scores_gemma":[0.97073936,0.00003179112,0.026200326,0.000022073396,0.00003720047,0.0000056611757,0.000021472848,0.000027471266,0.002914614],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998472,0.000037732352,0.0006201785,0.00019848619,0.00045811775,0.0002134946],"domain_scores_gemma":[0.99813354,0.00040607486,0.00041031433,0.00056125945,0.0004066095,0.000082182654],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006155641,0.0001784898,0.00053388684,0.0001564295,0.000048223883,0.00002086279,0.00034915502,0.00018332792,0.001268241],"category_scores_gemma":[0.0009802405,0.00014014164,0.00018810976,0.0007277164,0.00008840084,0.00012840475,0.000075385215,0.0002304606,0.000048635273],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051186573,0.0015567625,0.016027117,0.0017287544,0.0014204689,0.000006730101,0.0029240726,0.000029829802,0.21601063,0.5568002,0.20093891,0.0025053483],"study_design_scores_gemma":[0.002683638,0.0010643691,0.031794686,0.0007366232,0.0027803157,0.00008057263,0.0022181447,0.010525847,0.20365173,0.698995,0.04321148,0.002257606],"about_ca_topic_score_codex":0.0000259041,"about_ca_topic_score_gemma":0.000044649787,"teacher_disagreement_score":0.15772744,"about_ca_system_score_codex":0.0000047491053,"about_ca_system_score_gemma":0.000040374587,"threshold_uncertainty_score":0.99964476},"labels":[],"label_agreement":null},{"id":"W1991137206","doi":"10.1006/aima.2001.2008","title":"Mean Curvature Flow of Surface in 4-Manifolds","year":2001,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mean curvature flow; Surface (topology); Curvature; Geometry; Flow (mathematics); Mean curvature; Mathematical analysis","score_opus":0.020758085167279908,"score_gpt":0.30534913449976825,"score_spread":0.28459104933248836,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991137206","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9231491,0.009452036,0.026695937,0.00016239521,0.00025797638,0.0005625332,0.000013057454,0.00008161793,0.039625365],"genre_scores_gemma":[0.8179369,0.0017805822,0.17930917,0.000027382172,0.000040197923,0.000009748447,0.0000055380146,0.00003573262,0.00085474545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99801487,0.00006399882,0.0008571369,0.00025938795,0.00045862165,0.0003460074],"domain_scores_gemma":[0.99829024,0.0006840465,0.0003365919,0.0005426048,0.00009541409,0.000051111558],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009398581,0.00023512564,0.0007054297,0.00029873563,0.000024169789,0.000016948608,0.00037410774,0.00015980963,0.00024147735],"category_scores_gemma":[0.0006564897,0.00019706691,0.00013042284,0.002057634,0.000054714543,0.00034294487,0.000068075555,0.00029877428,0.000017458342],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012408801,0.0066474704,0.1483917,0.0044819554,0.0002900942,0.00034919387,0.023012087,0.041212674,0.00068821834,0.7400997,0.0018060781,0.032896686],"study_design_scores_gemma":[0.0012103225,0.0000819366,0.0017918828,0.00068700366,0.00010041538,0.000029752247,0.003624705,0.034984816,0.0003958267,0.9473511,0.009170568,0.0005716862],"about_ca_topic_score_codex":0.00001276876,"about_ca_topic_score_gemma":0.0008192075,"teacher_disagreement_score":0.20725133,"about_ca_system_score_codex":0.000057559162,"about_ca_system_score_gemma":0.000022615282,"threshold_uncertainty_score":0.8036155},"labels":[],"label_agreement":null},{"id":"W1991306862","doi":"10.2140/pjm.2009.242.299","title":"The horofunction boundary of the Heisenberg group","year":2009,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Heisenberg group; Mathematics; Boundary (topology); Group (periodic table); Metric (unit); Mathematical analysis; Pure mathematics; Mathematical physics; Physics; Quantum mechanics","score_opus":0.01910769904960714,"score_gpt":0.25525717286071437,"score_spread":0.23614947381110724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991306862","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7489542,0.01276052,0.17590886,0.0091125155,0.003673177,0.0010113019,0.0000139759895,0.00007078541,0.04849466],"genre_scores_gemma":[0.9894735,0.00023897123,0.008868957,0.00003405409,0.00020886626,9.919323e-7,3.198617e-7,0.000015060627,0.0011592575],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977269,0.00012308857,0.0010314469,0.000081500206,0.00083015976,0.0002068632],"domain_scores_gemma":[0.9967646,0.0008073329,0.001475866,0.0005255603,0.00036379843,0.00006281669],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002436501,0.00015760622,0.0004318834,0.000114056114,0.0002606885,0.00008815496,0.00051685184,0.0000851874,0.00004026222],"category_scores_gemma":[0.0012533497,0.00007166015,0.0005031145,0.0006879133,0.00010795675,0.0001220919,0.000032574077,0.00037723794,0.000005711435],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020893363,0.0046970057,0.0021974174,0.00069725135,0.0021219058,0.000033295724,0.012272699,0.00018782709,0.0055482984,0.6672793,0.2159026,0.088853456],"study_design_scores_gemma":[0.0006580087,0.0004106509,0.0019019957,0.00031056892,0.0007264936,0.0003424479,0.011728192,0.0007989796,0.0008182218,0.95409805,0.027979108,0.00022727063],"about_ca_topic_score_codex":6.3405696e-7,"about_ca_topic_score_gemma":0.0000035162252,"teacher_disagreement_score":0.28681874,"about_ca_system_score_codex":0.000045297624,"about_ca_system_score_gemma":0.00005979738,"threshold_uncertainty_score":0.2922216},"labels":[],"label_agreement":null},{"id":"W1991764105","doi":"10.4153/cmb-2011-089-1","title":"On Sha's Secondary Chern–Euler Class","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Chern class; Euler characteristic; Boundary (topology); Pure mathematics; Mathematical analysis; Vector field; Manifold (fluid mechanics); Chern–Weil homomorphism; Euler's formula; Cohomology; De Rham cohomology; Geometry; Equivariant cohomology","score_opus":0.04554209035281533,"score_gpt":0.23947172949552736,"score_spread":0.19392963914271202,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991764105","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10823226,0.00008998799,0.0024048,0.0030604638,0.00020193719,0.00037672004,0.000038224243,0.00013817727,0.88545746],"genre_scores_gemma":[0.9678181,0.0000041635853,0.00849759,0.0026384713,0.00014692779,0.000053430485,0.000011474092,0.00008526871,0.02074458],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979997,0.000077206416,0.00048828544,0.00039783388,0.0003638701,0.0006730679],"domain_scores_gemma":[0.9976249,0.0005986605,0.0001123531,0.0007007904,0.00010229412,0.00086105755],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00060385006,0.00030636473,0.00050559494,0.00037323838,0.00014131807,0.00006563417,0.0004388197,0.00026724383,0.23007049],"category_scores_gemma":[0.0018180865,0.00025156513,0.00025170323,0.00044165226,0.0000989624,0.00003489105,0.000040501433,0.0004947809,0.033401646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009738998,0.0001664511,0.000027598768,0.00009254581,0.00010263787,0.00009781556,0.00052141515,2.6607992e-7,0.0000049531054,0.7061643,0.29116538,0.0016468702],"study_design_scores_gemma":[0.00043862712,0.000121306904,0.00041959184,0.00010595428,0.00013410753,0.00003119451,0.0003505112,0.00014065528,0.00011101032,0.78898525,0.20862502,0.0005367569],"about_ca_topic_score_codex":0.0006607565,"about_ca_topic_score_gemma":0.0014476142,"teacher_disagreement_score":0.86471283,"about_ca_system_score_codex":0.00017727235,"about_ca_system_score_gemma":0.00019510754,"threshold_uncertainty_score":0.9999937},"labels":[],"label_agreement":null},{"id":"W1991898240","doi":"10.1142/s0129167x14500888","title":"Foliations of Minkowski 2 + 1 spacetime by crooked planes","year":2014,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"National Research Foundation of Korea","keywords":"Minkowski space; Mathematics; Disjoint sets; Spacetime; Pure mathematics; Orbit (dynamics); Geometry; Mathematical analysis; Physics","score_opus":0.0175212399839866,"score_gpt":0.2956742574723169,"score_spread":0.2781530174883303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991898240","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6150038,0.00039516826,0.3676331,0.0024276963,0.0010802,0.00016951007,0.00006710379,0.000030801046,0.013192589],"genre_scores_gemma":[0.92275953,0.000043232467,0.07535044,0.00006861258,0.00031589626,0.0000015786435,0.000008281075,0.000021216401,0.0014312015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978708,0.000050626328,0.0009432268,0.000081725506,0.00093212276,0.00012152506],"domain_scores_gemma":[0.99660504,0.00091119873,0.0013260018,0.00018918671,0.00089399295,0.00007455954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095990975,0.00013338732,0.00044206038,0.00034603447,0.000026194526,0.000049593444,0.0005658959,0.00008166658,0.0003707304],"category_scores_gemma":[0.0021119514,0.00010239522,0.00026815952,0.00020306445,0.000043240063,0.0001430541,0.000046684436,0.00016061275,0.000018868175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000108242326,0.0049297106,0.0041096127,0.00049901806,0.0046304893,0.000040219555,0.005626371,0.0004701831,0.013047989,0.5483662,0.40851614,0.009655844],"study_design_scores_gemma":[0.0039545815,0.0005989934,0.0008937013,0.0009346714,0.0011834702,0.00059000985,0.002532408,0.01280188,0.017416636,0.8635524,0.09479441,0.0007468287],"about_ca_topic_score_codex":0.0000050709577,"about_ca_topic_score_gemma":0.0000047979447,"teacher_disagreement_score":0.31518623,"about_ca_system_score_codex":0.000039042254,"about_ca_system_score_gemma":0.000036353813,"threshold_uncertainty_score":0.4175556},"labels":[],"label_agreement":null},{"id":"W1993273478","doi":"10.1051/cocv/2009044","title":"The<i>H</i><sup>–1</sup>-norm of tubular neighbourhoods of curves","year":2009,"lang":"en","type":"article","venue":"ESAIM Control Optimisation and Calculus of Variations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Norm (philosophy); Mathematics; Curvature; Bounded function; Mathematical analysis; Elliptic curve; Limit (mathematics); Geometry","score_opus":0.01238121785682291,"score_gpt":0.261442589641248,"score_spread":0.24906137178442508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993273478","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06982289,0.009726254,0.8874219,0.013051801,0.00013853222,0.0015049479,0.00016726511,0.000086192806,0.018080205],"genre_scores_gemma":[0.99542344,0.00046818794,0.0035740242,0.00015375408,0.000034473418,0.000009837114,0.000013137965,0.000007595596,0.00031553558],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99845177,0.00010636484,0.0007561289,0.00014669278,0.00038303225,0.00015604132],"domain_scores_gemma":[0.99787647,0.00069012237,0.00055508775,0.00034065434,0.00047244318,0.0000652072],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087683275,0.00013451374,0.0004504229,0.0001508615,0.00012371421,0.000020721009,0.00016563672,0.000092259455,0.00012434013],"category_scores_gemma":[0.0011141263,0.00009889084,0.00020151325,0.00055302266,0.00007632668,0.00012355795,0.000015825151,0.00009713908,0.0000012248125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007716666,0.0005739888,0.0004052455,0.00014358305,0.0005343024,5.0712123e-7,0.0011506879,0.0067787636,0.001384941,0.97019374,0.0023061424,0.016450902],"study_design_scores_gemma":[0.0072731627,0.0010083646,0.026714634,0.00039908086,0.0026252056,0.000010825895,0.0012522455,0.8961915,0.0018647292,0.055974882,0.006009945,0.00067547325],"about_ca_topic_score_codex":0.000030712145,"about_ca_topic_score_gemma":0.000008736289,"teacher_disagreement_score":0.9256005,"about_ca_system_score_codex":0.000014556246,"about_ca_system_score_gemma":0.000064085,"threshold_uncertainty_score":0.40326515},"labels":[],"label_agreement":null},{"id":"W1993477669","doi":"10.4310/mrl.2002.v9.n1.a3","title":"Ernst equation, Fay identities and variational formulas on hyperelliptic curves","year":2002,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hyperelliptic curve; Mathematical analysis; Pure mathematics; Calculus (dental); Algebra over a field; Orthodontics","score_opus":0.26603369725587406,"score_gpt":0.38031824276738735,"score_spread":0.11428454551151329,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993477669","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.613752,0.002082049,0.21355471,0.079540744,0.00023842942,0.0022904228,0.000042076397,0.00033576853,0.08816376],"genre_scores_gemma":[0.9750398,0.00042792404,0.011894974,0.0023919148,0.00029725028,0.00014795829,0.000014481456,0.00005991482,0.0097258],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99668556,0.00022940917,0.0004373543,0.00032430477,0.0018184107,0.0005049546],"domain_scores_gemma":[0.99505407,0.004086131,0.000078105964,0.0003966499,0.00020980531,0.00017521174],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0021696296,0.0001788211,0.00033739887,0.00044834943,0.00027280324,0.00022763581,0.00027096563,0.00008196519,0.0034919896],"category_scores_gemma":[0.006884414,0.00013699078,0.00011258694,0.0007604185,0.00020286745,0.00022700168,0.000106895066,0.00044887804,0.0009412255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009584965,0.0004604941,0.00014226882,0.0009803793,0.00015889897,0.000022747652,0.0007256467,0.000015699212,0.00036004576,0.7997348,0.19620709,0.0011823364],"study_design_scores_gemma":[0.00070849713,0.00019120538,0.00067600876,0.00071109575,0.00011877032,0.000028604965,0.00034071744,0.042908832,0.00015334794,0.95069563,0.0030237788,0.00044352366],"about_ca_topic_score_codex":0.0000043388272,"about_ca_topic_score_gemma":0.0000019418487,"teacher_disagreement_score":0.36128774,"about_ca_system_score_codex":0.00007777209,"about_ca_system_score_gemma":0.000011842206,"threshold_uncertainty_score":0.9998367},"labels":[],"label_agreement":null},{"id":"W1993794932","doi":"10.1155/imrn/2006/69284","title":"Minimal cones with isotropic links","year":2006,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Submanifold; Isotropy; Geodesic; Genus; Betti number; Pure mathematics; Surface (topology); Totally geodesic; Zero (linguistics); Mathematical analysis; Combinatorics; Geometry; Physics; Botany","score_opus":0.10406502673067973,"score_gpt":0.40083628073769983,"score_spread":0.2967712540070201,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993794932","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85700065,0.00019405043,0.012080846,0.0033646813,0.00022043164,0.00042891793,0.000024310079,0.00012847906,0.1265576],"genre_scores_gemma":[0.92944556,0.000011894947,0.060019616,0.000029102315,0.00046825397,0.000047928523,0.000020029378,0.00003520488,0.0099224355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966539,0.0000904596,0.00049431075,0.00033037146,0.0019961915,0.00043475645],"domain_scores_gemma":[0.99634993,0.0019214519,0.00020763197,0.00039858665,0.0010360018,0.00008637029],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012197352,0.0001915089,0.0003136135,0.0006513581,0.00017126455,0.00037092005,0.0007198351,0.00016308502,0.000978689],"category_scores_gemma":[0.0010599811,0.00013413833,0.00011026692,0.00072493055,0.00020352802,0.00027377397,0.00015256414,0.00061687385,0.000266203],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000073254276,0.0016343489,0.0048819357,0.00032530664,0.0004936277,0.000107894986,0.00062871014,0.00022614375,0.00065505324,0.9637869,0.02624401,0.00094281626],"study_design_scores_gemma":[0.0022336415,0.0005483038,0.0074517764,0.000549106,0.00022653186,0.00007875973,0.0038298513,0.03828431,0.0026632112,0.8755521,0.0676666,0.0009157935],"about_ca_topic_score_codex":0.00012319443,"about_ca_topic_score_gemma":0.0002565133,"teacher_disagreement_score":0.11663517,"about_ca_system_score_codex":0.00008744387,"about_ca_system_score_gemma":0.00007080451,"threshold_uncertainty_score":0.99993455},"labels":[],"label_agreement":null},{"id":"W1994756315","doi":"10.4153/cmb-2013-018-3","title":"Real Hypersurfaces in Complex Two-Plane Grassmannians with Reeb Parallel Structure Jacobi Operator","year":2013,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Research Foundation of Korea; National Research Foundation","keywords":"Mathematics; Hypersurface; Jacobi operator; Totally geodesic; Operator (biology); Pure mathematics; Plane (geometry); Geodesic; Type (biology); Mathematical analysis; Geometry; Jacobi polynomials","score_opus":0.02159970300098223,"score_gpt":0.24534048502113243,"score_spread":0.2237407820201502,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994756315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9665295,0.000043614862,0.0005730556,0.00677206,0.000032962344,0.0008484812,0.00008615958,0.000074967415,0.02503922],"genre_scores_gemma":[0.9592406,0.000008036203,0.03735602,0.0006213759,0.00007851949,0.00006744211,0.00007420952,0.00006364923,0.0024901242],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99756026,0.0001171399,0.0005876917,0.00046850773,0.00043801055,0.0008284034],"domain_scores_gemma":[0.99801177,0.00033627922,0.00012374812,0.0006025048,0.00015846461,0.0007672615],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003163257,0.00039550153,0.0007563469,0.00037123103,0.00014725293,0.0002213721,0.00046367125,0.00020994968,0.045135602],"category_scores_gemma":[0.00032959264,0.0002862089,0.00009918799,0.00072242424,0.00014090569,0.000079097015,0.000037314283,0.00044176693,0.0031477446],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007901873,0.0006371135,0.014021185,0.0009144141,0.000719044,0.0008020087,0.0035861016,0.0006179942,0.0011997615,0.29364058,0.68216556,0.0016172004],"study_design_scores_gemma":[0.015285458,0.0014757863,0.07419266,0.0014762632,0.0013666071,0.0010678201,0.019753637,0.01861362,0.0003478585,0.60581666,0.25192305,0.008680542],"about_ca_topic_score_codex":0.020656256,"about_ca_topic_score_gemma":0.0763187,"teacher_disagreement_score":0.4302425,"about_ca_system_score_codex":0.00019427837,"about_ca_system_score_gemma":0.00018069742,"threshold_uncertainty_score":0.999959},"labels":[],"label_agreement":null},{"id":"W1996781476","doi":"10.1155/2007/57585","title":"Lightlike Submanifolds of Indefinite Sasakian Manifolds","year":2007,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":93,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Invariant (physics); Pure mathematics; Cauchy–Riemann equations; Cauchy distribution; Riemann surface; Characterization (materials science); Mathematical analysis; Physics; Mathematical physics","score_opus":0.04454951409421615,"score_gpt":0.33846751133937125,"score_spread":0.2939179972451551,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996781476","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.843787,0.00033025016,0.13241792,0.0006898226,0.00037574,0.00013170228,0.000005722351,0.000016909835,0.02224491],"genre_scores_gemma":[0.8465395,0.00007939104,0.15302101,0.00005528787,0.00015179343,7.966543e-7,3.4619507e-7,0.000011592056,0.00014029673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965177,0.000025467361,0.0014564206,0.0001618348,0.0015733443,0.00026520833],"domain_scores_gemma":[0.9962398,0.0016020236,0.0012044713,0.00015815205,0.00062779605,0.00016777913],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005032478,0.00018728575,0.0005783547,0.0006295981,0.00007779421,0.00012609734,0.0007741094,0.00011022658,0.0002799661],"category_scores_gemma":[0.0015903218,0.00012221334,0.00024878056,0.0005269387,0.00029277534,0.00028839437,0.00014070276,0.0001848656,0.000008476514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017442562,0.0006972252,0.00072096864,0.0001577906,0.00025298813,0.000048363363,0.0013878337,0.000003323366,0.0009551703,0.99121606,0.00042147783,0.0041213688],"study_design_scores_gemma":[0.0005435196,0.00030176842,0.00075513485,0.00040945984,0.00017036822,0.000568913,0.0033167866,0.0006829177,0.0024391084,0.98974884,0.00085107057,0.00021209566],"about_ca_topic_score_codex":0.0000044569183,"about_ca_topic_score_gemma":0.00001100645,"teacher_disagreement_score":0.022104612,"about_ca_system_score_codex":0.000032528827,"about_ca_system_score_gemma":0.00006374472,"threshold_uncertainty_score":0.49837154},"labels":[],"label_agreement":null},{"id":"W1997112070","doi":"10.1142/s021953050300017x","title":"On SubRiemannian Geodesics","year":2003,"lang":"en","type":"article","venue":"Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Submanifold; Geodesic; Mathematics; Differential geometry; Pure mathematics; Characterization (materials science); Mathematical analysis; Differential (mechanical device); Differential operator; Geometry; Physics","score_opus":0.021075623143039172,"score_gpt":0.28823875919566344,"score_spread":0.26716313605262426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997112070","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09527755,0.00028406334,0.858986,0.0003042579,0.000010576347,0.00026965045,0.000012617517,0.00006893696,0.044786308],"genre_scores_gemma":[0.99342155,0.000054231026,0.004225176,0.00018595235,0.000024314035,0.000086224805,0.000016551205,0.000008344888,0.0019776295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921113,0.000035604015,0.00020577,0.0002495424,0.00016147681,0.0001364961],"domain_scores_gemma":[0.9991192,0.00022750003,0.00008857757,0.00041444265,0.00006551352,0.000084758714],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028000504,0.00010418793,0.00025313336,0.00029936328,0.00017829212,0.000056691275,0.000081004706,0.00005191913,0.0002165487],"category_scores_gemma":[0.00010268981,0.00008398191,0.000189928,0.0026230256,0.000029152845,0.000034056327,0.000009582472,0.000081713784,0.000038884416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[5.97667e-7,0.00010539541,0.0030080017,0.0000045822617,0.00048713142,2.7658717e-7,0.000026087251,0.00005129388,0.000011923992,0.9917922,0.00070012885,0.0038123762],"study_design_scores_gemma":[0.00019379269,0.00002566119,0.005512612,0.0000033247454,0.0036135935,0.0000016345426,0.00013967526,0.0009772651,0.00019404746,0.877069,0.11198251,0.000286904],"about_ca_topic_score_codex":0.000013102898,"about_ca_topic_score_gemma":0.00004965915,"teacher_disagreement_score":0.898144,"about_ca_system_score_codex":0.000010033319,"about_ca_system_score_gemma":0.000009085892,"threshold_uncertainty_score":0.3424683},"labels":[],"label_agreement":null},{"id":"W1997631784","doi":"10.1016/s0926-2245(00)00034-6","title":"Simple umbilics revisited","year":2000,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Transversality; Simple (philosophy); Mathematics; Singularity; Phase portrait; Curvature; Pure mathematics; Point (geometry); Planar; Mathematical analysis; Deformation (meteorology); Geometry; Physics; Nonlinear system; Bifurcation; Computer science","score_opus":0.02180532659982814,"score_gpt":0.2863015134265895,"score_spread":0.26449618682676135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997631784","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9779303,0.00084093533,0.0126418015,0.00014033967,0.000018353376,0.00048385508,0.000070789414,0.00012736287,0.0077462536],"genre_scores_gemma":[0.9941919,0.00048254212,0.0003446995,0.00009498089,0.00018739887,0.000105331696,0.00013104688,0.00001797767,0.0044441414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99887305,0.000032938882,0.00031810976,0.0003310846,0.0002105358,0.00023427697],"domain_scores_gemma":[0.99913096,0.00019058399,0.00007737715,0.00037816176,0.00008358597,0.00013931505],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00012627254,0.00016521412,0.000290494,0.00019210203,0.00025019192,0.000090603506,0.00018053189,0.00011420835,0.0075305947],"category_scores_gemma":[0.0000860826,0.00014128514,0.00011167501,0.0014195683,0.00003016188,0.00009698894,0.000041021518,0.00016405655,0.00018798234],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045749293,0.0015339553,0.0025791037,0.00039198622,0.0005050062,0.0000024158621,0.00028301627,0.000010057596,0.0038052436,0.5685948,0.0175361,0.40471256],"study_design_scores_gemma":[0.0014671125,0.00013619055,0.030829197,0.00004295847,0.00097474613,0.000022518823,0.00023965181,0.005186213,0.0013663262,0.2009103,0.75760424,0.0012205596],"about_ca_topic_score_codex":0.0000054027278,"about_ca_topic_score_gemma":0.0000028331392,"teacher_disagreement_score":0.74006814,"about_ca_system_score_codex":0.000010845233,"about_ca_system_score_gemma":0.000008270606,"threshold_uncertainty_score":0.9933767},"labels":[],"label_agreement":null},{"id":"W1997797278","doi":"10.4171/jems/388","title":"Regularity of optimal transport maps on multiple products of spheres","year":2013,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Institute for Pure and Applied Mathematics, University of California, Los Angeles; National Science Foundation","keywords":"Mathematics; SPHERES; Pure mathematics; Mathematical analysis; Astronomy","score_opus":0.028705157007189293,"score_gpt":0.2414718143031088,"score_spread":0.2127666572959195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997797278","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9878767,0.000082251514,0.005446064,0.00065585924,0.00009485501,0.00026859337,0.0000073024526,0.000010213171,0.005558126],"genre_scores_gemma":[0.9380509,0.000010975593,0.06087166,0.000043822998,0.00015355815,8.2017215e-7,5.002049e-7,0.000029023076,0.0008387328],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974771,0.00026849285,0.0011371399,0.00013051504,0.00079629,0.0001904228],"domain_scores_gemma":[0.99716246,0.00055313867,0.0011663847,0.0005151917,0.0005157366,0.00008706598],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019881714,0.00017431538,0.00064047636,0.000035648533,0.00005734458,0.000016935948,0.00062679756,0.00006521698,0.00033348362],"category_scores_gemma":[0.0020524617,0.000092674876,0.0009990016,0.00046805694,0.00017262879,0.00011520513,0.00007746734,0.0004151173,0.00001856322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00043207372,0.021846002,0.026553923,0.013236083,0.009069751,0.000059515503,0.03097258,0.002997949,0.0940017,0.11696111,0.6710476,0.012821686],"study_design_scores_gemma":[0.010453888,0.002711804,0.20468457,0.0060959784,0.0056569874,0.00042116633,0.01987402,0.007622867,0.10799757,0.62414795,0.008132132,0.0022011003],"about_ca_topic_score_codex":0.0000030702706,"about_ca_topic_score_gemma":4.961131e-7,"teacher_disagreement_score":0.66291547,"about_ca_system_score_codex":0.00002570915,"about_ca_system_score_gemma":0.000035774337,"threshold_uncertainty_score":0.37791717},"labels":[],"label_agreement":null},{"id":"W1998200671","doi":"10.1007/s10711-014-0021-0","title":"Conformally covariant operators and conformal invariants on weighted graphs","year":2014,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Covariant transformation; Mathematics; Conformal map; Pure mathematics; Laplace operator; Quotient; Combinatorics; Mathematical analysis; Mathematical physics","score_opus":0.02376143762571721,"score_gpt":0.2628616346287892,"score_spread":0.239100197003072,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998200671","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92126167,0.0003949083,0.032428432,0.0011336769,0.000896051,0.0008525983,0.0001319131,0.00032041443,0.042580314],"genre_scores_gemma":[0.994486,0.00012622589,0.003243898,0.0012764441,0.00018696775,0.000022438862,0.000107544416,0.000037204834,0.00051332766],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9971989,0.00012140067,0.0007548678,0.00049380155,0.00082248537,0.0006085503],"domain_scores_gemma":[0.99727625,0.00092191144,0.00032367112,0.0008413944,0.00020192823,0.00043486545],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0024771926,0.00036890316,0.0007135472,0.0015658885,0.00028156393,0.00022260145,0.0005592246,0.00028753196,0.00075680617],"category_scores_gemma":[0.0031124577,0.0002804937,0.00015932648,0.002999184,0.00014713226,0.0003470595,0.00021037935,0.00044309223,0.00022629865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021541871,0.0004780025,0.005039072,0.00016184193,0.0007814661,0.000028990951,0.00040944622,0.000005407152,0.00014878593,0.9032261,0.041574493,0.04793097],"study_design_scores_gemma":[0.02787565,0.0045028063,0.0753672,0.0005874343,0.0023898815,0.00037425896,0.0017860165,0.023632795,0.004383945,0.16714332,0.6867899,0.005166811],"about_ca_topic_score_codex":0.00005142672,"about_ca_topic_score_gemma":0.000018641334,"teacher_disagreement_score":0.7360828,"about_ca_system_score_codex":0.000027796386,"about_ca_system_score_gemma":0.00007660923,"threshold_uncertainty_score":0.9999647},"labels":[],"label_agreement":null},{"id":"W1998844168","doi":"10.4153/cmb-2011-096-4","title":"Smooth Approximation of Lipschitz Projections","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation","keywords":"Mathematics; Lipschitz continuity; Projection (relational algebra); Lipschitz domain; Riemannian manifold; Pure mathematics; Constant (computer programming); Manifold (fluid mechanics); Function (biology); Mathematical analysis; Algorithm","score_opus":0.060627848288457714,"score_gpt":0.2522672302561822,"score_spread":0.19163938196772448,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998844168","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2167145,0.00011444563,0.06274978,0.0014527183,0.000164329,0.0010922673,0.00004353048,0.00016261153,0.7175058],"genre_scores_gemma":[0.94252425,0.0000031765862,0.053758707,0.00011659325,0.000053295484,0.000051769686,0.000006855482,0.00003160849,0.003453728],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868333,0.00005633151,0.0004884405,0.00020524203,0.00024101105,0.00032563886],"domain_scores_gemma":[0.99878526,0.00017462508,0.00015672846,0.0004165085,0.00014776355,0.00031909382],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005014432,0.00015869537,0.0003584404,0.00041138244,0.00008996168,0.000021154352,0.00022753063,0.00013835661,0.024989104],"category_scores_gemma":[0.0012042322,0.00013305759,0.00016475841,0.0006297053,0.00008557732,0.000037098675,0.00002228891,0.00016969655,0.0017407194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008037915,0.00032883047,0.00023299304,0.0003276435,0.00010338212,0.000010458618,0.0018817731,7.422018e-7,0.000039063758,0.9616254,0.032788534,0.002653136],"study_design_scores_gemma":[0.00048628886,0.00015473027,0.0012374328,0.00018566872,0.0003477674,0.000035836507,0.0017363653,0.0007539603,0.00083044026,0.92873144,0.06493247,0.0005675696],"about_ca_topic_score_codex":0.0012540029,"about_ca_topic_score_gemma":0.0012210007,"teacher_disagreement_score":0.72580975,"about_ca_system_score_codex":0.0000642071,"about_ca_system_score_gemma":0.00013176269,"threshold_uncertainty_score":0.99903655},"labels":[],"label_agreement":null},{"id":"W1999511550","doi":"10.1063/1.4791691","title":"Invariant classification of vacuum pp-waves","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Invariant (physics); Covariant transformation; Covariant derivative; Equivalence (formal languages); Curvature; Vacuum state","score_opus":0.06357564210487779,"score_gpt":0.29514594761280677,"score_spread":0.23157030550792898,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999511550","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6494106,0.00017482394,0.34079847,0.00092235,0.00013397506,0.0002761312,0.0000032310777,0.000018517538,0.008261877],"genre_scores_gemma":[0.94923186,0.000023939298,0.05018287,0.000034495177,0.00025710705,0.0000038612116,8.239312e-7,0.000020031977,0.00024499855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979591,0.0000744954,0.0010530206,0.00009705794,0.0006452767,0.00017105887],"domain_scores_gemma":[0.99702924,0.0007664955,0.0011204894,0.00031621847,0.0006484717,0.00011910417],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006925052,0.00014874763,0.0006514861,0.00009668217,0.00003345086,0.000048769674,0.00028211117,0.0000920676,0.00053131446],"category_scores_gemma":[0.0008775024,0.00009787579,0.0003596341,0.00050902815,0.00006557171,0.00033310184,0.0000421296,0.00026878607,0.00009809938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014303869,0.001582477,0.00014197781,0.0004764493,0.00042581727,0.00000480665,0.00076959067,0.000013720628,0.016072748,0.95379674,0.021746086,0.0049552713],"study_design_scores_gemma":[0.00029433632,0.0001116198,0.0010949131,0.00012978015,0.00024314183,0.00002376046,0.0005423386,0.0033265967,0.0019015176,0.99207497,0.00014345617,0.00011357634],"about_ca_topic_score_codex":0.0000015200471,"about_ca_topic_score_gemma":1.6209994e-7,"teacher_disagreement_score":0.29982126,"about_ca_system_score_codex":0.000030345294,"about_ca_system_score_gemma":0.000052164592,"threshold_uncertainty_score":0.5817521},"labels":[],"label_agreement":null},{"id":"W2000630276","doi":"10.1090/s0002-9947-2013-05628-0","title":"Short geodesic loops on complete Riemannian manifolds with a finite volume","year":2013,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Geodesic; Finite volume method; Geodesic map; Riemannian manifold; Pure mathematics; Manifold (fluid mechanics); Minimal volume; Riemannian geometry; Volume (thermodynamics); Exponential map (Riemannian geometry); Mathematical analysis; Topology (electrical circuits); Geometry; Fundamental theorem of Riemannian geometry; Combinatorics; Ricci curvature; Sectional curvature; Scalar curvature; Physics","score_opus":0.02598822277234294,"score_gpt":0.2556697251744463,"score_spread":0.22968150240210336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000630276","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4194961,0.000011013769,0.5749967,0.0017908615,0.000029526604,0.0006494575,0.00002974445,0.00010458357,0.0028920043],"genre_scores_gemma":[0.95416826,0.000008615214,0.04322714,0.00033212113,0.000025820507,0.00008866846,0.0000017949666,0.00004170973,0.0021058433],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981012,0.00008740122,0.00048776134,0.00029143144,0.00065695844,0.0003752653],"domain_scores_gemma":[0.9978889,0.00066963653,0.00026617505,0.0008804217,0.00016148284,0.0001333852],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00028593247,0.0002822252,0.00069710764,0.00005835731,0.00025058846,0.000054998603,0.0005007074,0.00006719662,0.0011491782],"category_scores_gemma":[0.000071007096,0.00016385983,0.0007646723,0.0013311461,0.0006204349,0.000115178525,0.000020362757,0.00038587558,0.00016105983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011656436,0.045281596,0.025653625,0.010501127,0.04069668,0.00003851901,0.053215776,0.04091257,0.011584265,0.32379746,0.22934555,0.21780719],"study_design_scores_gemma":[0.003803924,0.004447756,0.10545576,0.0015403726,0.0083073955,0.00017785633,0.02945717,0.31179845,0.0020699988,0.5223586,0.006098092,0.004484611],"about_ca_topic_score_codex":0.00009827442,"about_ca_topic_score_gemma":0.000009747779,"teacher_disagreement_score":0.5346722,"about_ca_system_score_codex":0.00006004161,"about_ca_system_score_gemma":0.000028489927,"threshold_uncertainty_score":0.9997639},"labels":[],"label_agreement":null},{"id":"W2001450985","doi":"10.4153/cmb-2011-108-1","title":"Chen Inequalities for Submanifolds of Real Space Forms with a Semi-Symmetric Non-Metric Connection","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"European Social Fund","keywords":"Mathematics; Connection (principal bundle); Scalar curvature; Metric connection; Sectional curvature; Pure mathematics; Space form; Chen; Curvature; Mathematical analysis; Metric (unit); Space (punctuation); Fubini–Study metric; Complex space; Ricci curvature; Metric space; Injective metric space; Geometry; Intrinsic metric; Fundamental theorem of Riemannian geometry; Submanifold","score_opus":0.038798146718513955,"score_gpt":0.2455210288599062,"score_spread":0.20672288214139226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001450985","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65835637,0.0001537234,0.08832554,0.00079965976,0.00009516699,0.0018688063,0.00012952382,0.00011748673,0.2501537],"genre_scores_gemma":[0.9761272,0.00001360896,0.019244406,0.000084728425,0.000058069905,0.0001292782,0.000017213033,0.00005893314,0.0042665587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979951,0.00004263973,0.0006471005,0.0003308371,0.00038054993,0.0006037905],"domain_scores_gemma":[0.99741703,0.0009472335,0.00031741412,0.0004884464,0.00035291447,0.00047693733],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010137621,0.00029286937,0.00075352704,0.0013371907,0.00011678743,0.000040409624,0.00029491782,0.00023229985,0.00387269],"category_scores_gemma":[0.0019208807,0.00021689983,0.00023318925,0.0020743913,0.00009426449,0.00006140986,0.000028076884,0.00017412796,0.0002404151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000082684855,0.00028497155,0.0010579274,0.0012204777,0.0003590494,0.00001784731,0.0019297807,0.0000022518232,0.000020632584,0.98103577,0.013354415,0.00063418027],"study_design_scores_gemma":[0.0051310286,0.0031390158,0.006098952,0.000869497,0.0023407897,0.00015995036,0.016252598,0.002356229,0.004012246,0.91702706,0.040035248,0.0025774136],"about_ca_topic_score_codex":0.0047102296,"about_ca_topic_score_gemma":0.003796338,"teacher_disagreement_score":0.3177708,"about_ca_system_score_codex":0.00017029892,"about_ca_system_score_gemma":0.00020066978,"threshold_uncertainty_score":0.9970379},"labels":[],"label_agreement":null},{"id":"W2003140873","doi":"10.1007/s10474-005-0011-7","title":"Screen Cauchy Riemann lightlike submanifolds","year":2005,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":75,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Cauchy–Riemann equations; Pure mathematics; Invariant (physics); Mathematics; Cauchy distribution; Riemann surface; Submanifold; Mathematical analysis; Mathematical physics","score_opus":0.03242393617300457,"score_gpt":0.30148420140933235,"score_spread":0.26906026523632776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003140873","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5803537,0.0023707822,0.050140172,0.053158026,0.0016338215,0.0035505758,0.00014928963,0.0027911689,0.3058525],"genre_scores_gemma":[0.9200809,0.00007061506,0.052301656,0.0009610796,0.0007111927,0.00006956896,0.00002887841,0.00012052225,0.025655588],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99385375,0.00018770547,0.0014727793,0.0011294784,0.0019543003,0.0014019844],"domain_scores_gemma":[0.9959295,0.00082504057,0.0007199189,0.0016148734,0.00030009443,0.0006105712],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.003238964,0.0006782113,0.0011069227,0.0008886111,0.0006683822,0.0004237908,0.0018983756,0.0007153409,0.0028552283],"category_scores_gemma":[0.0020105513,0.00054554956,0.0006329587,0.0032175705,0.00028358528,0.0011173055,0.000583857,0.0012511881,0.0017029681],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031445765,0.0013999067,0.00068966375,0.00034851613,0.00070297223,0.0000234926,0.0028339312,0.000014307293,0.0053318157,0.29771295,0.6848309,0.0060800975],"study_design_scores_gemma":[0.002249508,0.00022308598,0.0027535167,0.0003962284,0.0020788703,0.00022786757,0.0012797685,0.013507425,0.01051421,0.252136,0.7116507,0.0029828106],"about_ca_topic_score_codex":0.000012951919,"about_ca_topic_score_gemma":0.00004888138,"teacher_disagreement_score":0.33972725,"about_ca_system_score_codex":0.00019303511,"about_ca_system_score_gemma":0.00011902822,"threshold_uncertainty_score":0.9996996},"labels":[],"label_agreement":null},{"id":"W2003211379","doi":"10.1007/s00208-011-0749-x","title":"A generalization of Caffarelli’s contraction theorem via (reverse) heat flow","year":2011,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Mathematics; Gaussian measure; Isoperimetric inequality; Contraction (grammar); Measure (data warehouse); Inverse; Mathematical analysis; Pure mathematics; Gaussian; Geometry","score_opus":0.06228372235319543,"score_gpt":0.27307227975316983,"score_spread":0.2107885573999744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003211379","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18648158,0.00083048,0.766976,0.00016571059,0.00024289025,0.0006491998,0.000029977922,0.00018344095,0.044440694],"genre_scores_gemma":[0.9249875,0.00011477231,0.072534315,0.00009928607,0.00010978426,0.000033066448,0.000027143382,0.000049173883,0.0020449464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99845684,0.000103438295,0.00056989223,0.00024944963,0.00037507317,0.0002452924],"domain_scores_gemma":[0.9987542,0.00013265046,0.0002830445,0.0004888715,0.00025919487,0.00008200581],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00066935876,0.0002173046,0.00048621636,0.0002312259,0.00007430143,0.00001811476,0.00021948043,0.00015875281,0.0022670482],"category_scores_gemma":[0.00024566997,0.00017282926,0.00024038558,0.0005784113,0.00005195139,0.00023943168,0.00004320297,0.00013638394,0.00010625347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037325773,0.004536297,0.0042196685,0.0023620487,0.0029305127,0.000069547226,0.031095069,0.00036547895,0.024604486,0.7760946,0.11045238,0.042896632],"study_design_scores_gemma":[0.0025541899,0.0005394995,0.0039705983,0.0005156242,0.0019991675,0.000176276,0.0023564831,0.07190456,0.07514145,0.8257618,0.013431296,0.0016490784],"about_ca_topic_score_codex":0.000098000884,"about_ca_topic_score_gemma":0.000034680117,"teacher_disagreement_score":0.73850596,"about_ca_system_score_codex":0.00002198058,"about_ca_system_score_gemma":0.000022119233,"threshold_uncertainty_score":0.998645},"labels":[],"label_agreement":null},{"id":"W2003569232","doi":"10.1515/awutm-2015-0007","title":"Quarter-symmetric metric connection in a P-Sasakian manifold","year":2015,"lang":"en","type":"article","venue":"Annals of West University of Timisoara - Mathematics and Computer Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Mathematics; Manifold (fluid mechanics); Metric (unit); Quarter (Canadian coin); Pure mathematics; Ricci curvature; Riemann curvature tensor; Fundamental theorem of Riemannian geometry; Pseudo-Riemannian manifold; Mathematical analysis; Curvature; Combinatorics; Geometry","score_opus":0.0834308057006034,"score_gpt":0.2831081641336415,"score_spread":0.19967735843303808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003569232","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8753718,0.00017115801,0.120909736,0.0003333203,0.00007771409,0.00015712385,0.0000040706873,0.00002080325,0.0029542565],"genre_scores_gemma":[0.9398549,0.000055022025,0.05996965,0.000026465772,0.000012897012,1.3550556e-7,7.1156984e-7,0.0000044703265,0.000075717326],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986359,0.000029328494,0.00031384447,0.00026363358,0.00053116755,0.0002261379],"domain_scores_gemma":[0.99849284,0.00021830825,0.00035920856,0.00031556736,0.00045759437,0.00015648901],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014466437,0.00012812397,0.00042822372,0.0014770079,0.00007505431,0.000038818278,0.0004727767,0.00006229427,0.000019276727],"category_scores_gemma":[0.00021241342,0.00012449051,0.000092736256,0.0039409962,0.00019859553,0.00032853315,0.00018714526,0.0000922831,0.0000055581604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001338499,0.0060421927,0.012767301,0.0017921273,0.0004299795,0.00011788031,0.03249585,0.0015651301,0.00048006265,0.8691965,0.014843215,0.060135964],"study_design_scores_gemma":[0.0036221554,0.0024318318,0.0353536,0.0006793501,0.0003089749,0.000091235495,0.018118456,0.7488718,0.0016573536,0.18629424,0.0013410426,0.0012299902],"about_ca_topic_score_codex":0.00017524068,"about_ca_topic_score_gemma":0.000043675675,"teacher_disagreement_score":0.74730664,"about_ca_system_score_codex":0.000022031893,"about_ca_system_score_gemma":0.00008511058,"threshold_uncertainty_score":0.5076576},"labels":[],"label_agreement":null},{"id":"W2004874345","doi":"10.3934/dcds.2010.28.559","title":"Partial regularity of Brenier solutionsof the Monge-Ampère equation","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Nabla symbol; Omega; Combinatorics; Bounded function; Lambda; Mathematics; Homeomorphism (graph theory); Zero (linguistics); Euclidean geometry; Open set; Mathematical analysis; Physics; Geometry","score_opus":0.01854251545355862,"score_gpt":0.26084303291121724,"score_spread":0.24230051745765863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004874345","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96851194,0.0002946694,0.028858002,0.0003640421,0.00032444674,0.0003444735,0.000028378172,0.00003618447,0.0012378874],"genre_scores_gemma":[0.99856824,0.0000072103626,0.00026025364,0.000011023264,0.00016632449,0.000031920667,0.00002116857,0.000011873178,0.0009219865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986385,0.00012889538,0.00046310146,0.00021913314,0.0003322343,0.00021811789],"domain_scores_gemma":[0.9988495,0.00027656986,0.00024380148,0.0004090882,0.00014390334,0.000077119206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007292362,0.00014213196,0.00038882726,0.00005672712,0.00015183179,0.000089187815,0.00018438496,0.00017638037,0.000027782096],"category_scores_gemma":[0.00038928541,0.00008586744,0.00015364723,0.00028973067,0.00015287465,0.0000845033,0.00006391262,0.0002847023,0.000002754095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006555162,0.00027063693,0.023166051,0.00023002252,0.00044641003,0.000004826106,0.00092683866,0.00004853019,0.009816247,0.953444,0.0018841876,0.0096967155],"study_design_scores_gemma":[0.0027202715,0.00041862283,0.06359217,0.00026425533,0.0018493971,0.0001095737,0.0053233006,0.82362396,0.0004242921,0.08093953,0.019342262,0.0013923622],"about_ca_topic_score_codex":0.00040483093,"about_ca_topic_score_gemma":0.00025180858,"teacher_disagreement_score":0.8725045,"about_ca_system_score_codex":0.000009312041,"about_ca_system_score_gemma":0.000014768703,"threshold_uncertainty_score":0.35015726},"labels":[],"label_agreement":null},{"id":"W2005851077","doi":"10.1016/j.jcp.2014.11.007","title":"The geometry of r-adaptive meshes generated using optimal transport methods","year":2014,"lang":"en","type":"article","venue":"Journal of Computational Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Simon Fraser University; Natural Environment Research Council; Met Office; University of Reading; Sight Research UK","keywords":"Eigenvalues and eigenvectors; Mathematics; Polygon mesh; Curvature; Metric (unit); Anisotropy; Metric tensor; Scalar (mathematics); Tensor (intrinsic definition); Nonlinear system; Mesh generation; Mathematical analysis; Feature (linguistics); Applied mathematics; Geometry; Physics; Finite element method","score_opus":0.06152744667208001,"score_gpt":0.3580467331798127,"score_spread":0.29651928650773274,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005851077","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30323422,0.0001364177,0.69633055,0.00004485648,0.00010197494,0.000030634717,0.000002325745,0.0000031155857,0.00011589388],"genre_scores_gemma":[0.60206014,0.000005107988,0.3976402,0.000020326628,0.000245454,2.4815583e-7,0.0000016415069,0.00000944168,0.00001745853],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9982462,0.00021648603,0.000726929,0.00008520686,0.0005957047,0.00012947651],"domain_scores_gemma":[0.9960733,0.0016449132,0.0010154165,0.000111651556,0.0010976669,0.000057064848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001685227,0.00012372913,0.00042942795,0.00012135456,0.00012380285,0.000025660453,0.00021876438,0.00004871522,0.000011218825],"category_scores_gemma":[0.0002506049,0.00007961029,0.00032970338,0.0008291998,0.00007575214,0.00015379836,0.000016314632,0.000221914,6.5880977e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006760104,0.00018738126,0.00022614436,0.000023066648,0.00069149496,0.000001919782,0.00026421796,0.8906707,0.0007240513,0.08623516,0.0003678416,0.020540424],"study_design_scores_gemma":[0.0005514059,0.0001981731,0.0022771093,0.00004358436,0.000461097,0.000028346853,0.00024403435,0.53215945,0.0019888594,0.46135214,0.00054274936,0.0001530332],"about_ca_topic_score_codex":0.0000027506742,"about_ca_topic_score_gemma":3.8592688e-7,"teacher_disagreement_score":0.37511697,"about_ca_system_score_codex":0.00003089831,"about_ca_system_score_gemma":0.00012177905,"threshold_uncertainty_score":0.32464132},"labels":[],"label_agreement":null},{"id":"W2006466693","doi":"10.1142/s1793525314500149","title":"Surfaces of small diameter with large width","year":2014,"lang":"en","type":"preprint","venue":"Journal of Topology and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bounding overwatch; Mathematics; Metric (unit); Constant (computer programming); Combinatorics; Surface (topology); Geometry; Mathematical analysis; Computer science; Engineering","score_opus":0.023984734995925898,"score_gpt":0.2846460572307992,"score_spread":0.2606613222348733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006466693","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.869714,0.001919338,0.12739015,0.00045204323,0.00010304725,0.00004729757,0.000019381205,0.000004821075,0.00034992892],"genre_scores_gemma":[0.96784574,0.00043017743,0.031082965,0.00006572131,0.00011466352,0.0000010142766,0.000008376541,0.0000122854735,0.000439082],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812275,0.0002480011,0.0009011094,0.00023177016,0.00028874286,0.00020764023],"domain_scores_gemma":[0.9963416,0.0005363536,0.0021717532,0.00038381878,0.0004640979,0.00010237858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015711568,0.00024231864,0.001913501,0.0011845422,0.00005275644,0.00003203228,0.00031484177,0.00036206207,0.0002979361],"category_scores_gemma":[0.00036506858,0.00014937625,0.000842427,0.00073715026,0.00014247248,0.00004129502,0.00017417519,0.0006567669,7.1529274e-7],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004048709,0.0012515638,0.8794593,0.0011939461,0.09032191,0.0001467486,0.0017462509,0.008268524,0.00008985543,0.010441546,0.0025057162,0.0041697333],"study_design_scores_gemma":[0.0058918972,0.0031884995,0.3052944,0.0011029345,0.26604146,0.0003457681,0.00345372,0.03152014,0.00074863195,0.37264088,0.007129454,0.002642212],"about_ca_topic_score_codex":0.000039262257,"about_ca_topic_score_gemma":0.0003094548,"teacher_disagreement_score":0.5741649,"about_ca_system_score_codex":0.000014977747,"about_ca_system_score_gemma":0.00005973268,"threshold_uncertainty_score":0.6091387},"labels":[],"label_agreement":null},{"id":"W2008409659","doi":"10.1007/s12220-013-9463-0","title":"Compactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries","year":2013,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Compact space; Isospectral; Conformal map; Boundary (topology); Infinity; Mathematics; Mathematical analysis; Compact disc; Pure mathematics; Physics; Optics","score_opus":0.02660110835759472,"score_gpt":0.28314175713644124,"score_spread":0.2565406487788465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008409659","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94902885,0.0014102873,0.048329927,0.000097729375,0.0000819151,0.00009405752,0.000015620944,0.000007413442,0.00093421526],"genre_scores_gemma":[0.99144185,0.00021692063,0.007862381,0.000010237604,0.000038098107,0.0000011074613,0.000005810039,0.000014725514,0.00040888102],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9958107,0.00015687915,0.0022433384,0.00016442574,0.0012857087,0.00033898116],"domain_scores_gemma":[0.9919875,0.0012827485,0.003990263,0.00035741026,0.0021875515,0.0001944873],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019737608,0.00026223276,0.0021888022,0.006693103,0.00006761539,0.000049610313,0.00046917214,0.00016168073,0.0023006182],"category_scores_gemma":[0.0016558425,0.00018682539,0.0016158966,0.020354476,0.0001714461,0.0007036224,0.00006177299,0.00035224398,0.000009667807],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019557391,0.0016217906,0.9251434,0.0004129794,0.037961215,0.000027903521,0.0018542219,0.010036284,0.0013102851,0.0025038694,0.00672148,0.0122109605],"study_design_scores_gemma":[0.0015897237,0.000849565,0.9489485,0.00011444172,0.016344422,0.000058535294,0.0044391784,0.012413252,0.0042632343,0.0099246465,0.00037663063,0.00067787495],"about_ca_topic_score_codex":0.00036288064,"about_ca_topic_score_gemma":0.00002626926,"teacher_disagreement_score":0.042413004,"about_ca_system_score_codex":0.00006181184,"about_ca_system_score_gemma":0.00009460638,"threshold_uncertainty_score":0.9986114},"labels":[],"label_agreement":null},{"id":"W2010217087","doi":"10.5539/jmr.v4n1p30","title":"Gaussian Curvature of Graph-like Surfaces in 3-Dimensional Hyperbolic Space","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Gaussian curvature; Mathematics; Curvature; Graph; Gaussian; Hyperbolic space; Mathematical analysis; Combinatorics; Geometry; Physics; Quantum mechanics","score_opus":0.12999990839891096,"score_gpt":0.40798501410578014,"score_spread":0.2779851057068692,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010217087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9925831,0.004022846,0.00039127766,0.00061395514,0.0001917259,0.00018156896,0.00000437836,0.000006190838,0.0020049384],"genre_scores_gemma":[0.95709187,0.0002216708,0.041734148,0.000014875197,0.00018391418,0.0000029035891,9.790626e-7,0.00003287005,0.0007167643],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995305,0.00037017206,0.0011679104,0.00013132076,0.0023728663,0.00065274304],"domain_scores_gemma":[0.99554574,0.0021195537,0.0007123203,0.0004278616,0.0009186223,0.0002758829],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.010233426,0.00019634562,0.0008539052,0.0016887196,0.00007726132,0.00004431328,0.0005459402,0.00029438484,0.00031502827],"category_scores_gemma":[0.0025631732,0.00013468224,0.0003203153,0.0024778647,0.00015043725,0.0003411159,0.00014810335,0.0016341907,0.000023334804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00057433906,0.03065637,0.14324479,0.0075628627,0.0035848196,0.00037138304,0.03896083,0.0013830179,0.049776655,0.48079708,0.23866211,0.0044257357],"study_design_scores_gemma":[0.0072120526,0.0018352632,0.065550275,0.0049092793,0.0009862019,0.0015209826,0.030639388,0.005505156,0.017044125,0.8356052,0.0272894,0.0019026456],"about_ca_topic_score_codex":0.00002050384,"about_ca_topic_score_gemma":0.000027190177,"teacher_disagreement_score":0.35480815,"about_ca_system_score_codex":0.00008503236,"about_ca_system_score_gemma":0.00015531396,"threshold_uncertainty_score":0.70998365},"labels":[],"label_agreement":null},{"id":"W2011111637","doi":"10.4153/cmb-2010-003-0","title":"Semi-Slant Submanifolds of an Almost Paracontact Metric Manifold","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Submanifold; Mathematics; Metric (unit); Pure mathematics; Manifold (fluid mechanics); Product (mathematics); Mathematical analysis; Geometry; Business","score_opus":0.021115073724088978,"score_gpt":0.2660652858431704,"score_spread":0.24495021211908144,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011111637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8573717,0.0005356291,0.0051371856,0.0048061204,0.00013484844,0.0009157683,0.00009951903,0.00017369965,0.13082555],"genre_scores_gemma":[0.9898347,0.0000114799805,0.006462043,0.00071308913,0.00011402192,0.000011324188,0.000025197654,0.000037407895,0.0027907104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973354,0.00011362317,0.000844668,0.00042245648,0.0005619487,0.0007219057],"domain_scores_gemma":[0.9973,0.00047445326,0.00025349823,0.0008359438,0.00018034878,0.0009557012],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010016866,0.00034501962,0.0008465254,0.00080099626,0.0001170281,0.00008454695,0.00056055764,0.00027055418,0.015761616],"category_scores_gemma":[0.001371697,0.00029053382,0.00029314795,0.0012805703,0.000045173478,0.000079091646,0.000023912966,0.0002957774,0.0017756998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032169213,0.0009672149,0.00021808209,0.00030952808,0.0002637565,0.0004298676,0.00056888873,0.000011983166,0.000308882,0.9213897,0.06900037,0.0064995703],"study_design_scores_gemma":[0.002105796,0.0014974633,0.010492483,0.00047485527,0.0013300166,0.00045386085,0.0017511429,0.0036808471,0.0019133288,0.8498251,0.1241414,0.002333694],"about_ca_topic_score_codex":0.00097097317,"about_ca_topic_score_gemma":0.0012618853,"teacher_disagreement_score":0.13246305,"about_ca_system_score_codex":0.00015563687,"about_ca_system_score_gemma":0.00015595117,"threshold_uncertainty_score":0.9999547},"labels":[],"label_agreement":null},{"id":"W2012405657","doi":"10.4171/rmi/376","title":"Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates","year":2003,"lang":"en","type":"article","venue":"Revista Matemática Iberoamericana","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":538,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Dissipation; Statistical physics; Kinetic energy; Entropy (arrow of time); Mass transport; Physics; Mechanics; Mathematics; Classical mechanics; Thermodynamics","score_opus":0.022025109820498448,"score_gpt":0.2901517018685552,"score_spread":0.2681265920480568,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012405657","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5200259,0.006011253,0.4709914,0.0008040205,0.000114255294,0.0014619185,0.00008267547,0.0001691569,0.00033939455],"genre_scores_gemma":[0.95536304,0.00037114747,0.043727238,0.00002888033,0.000017959568,0.00010001363,0.0002511039,0.000035501278,0.0001051042],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99846375,0.00010272814,0.00059499603,0.00035807534,0.00023186201,0.00024856487],"domain_scores_gemma":[0.99812084,0.0010808276,0.0003099794,0.00022664464,0.00013293656,0.00012877697],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043693016,0.00022570211,0.0004413718,0.00018349287,0.00014129016,0.00017454843,0.00006525028,0.0000902559,0.00012628885],"category_scores_gemma":[0.0019658743,0.00019563836,0.000079429585,0.00063642586,0.00010792725,0.00026610208,0.000004483086,0.000085840715,0.000003808888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004332646,0.00012882905,0.007828416,0.0008174068,0.00020644658,0.000004743383,0.0009684277,0.000050351286,0.0060530435,0.97798795,0.0004392179,0.005471852],"study_design_scores_gemma":[0.0035957943,0.0005489142,0.035130452,0.0005282406,0.0037553085,0.000023025856,0.001764164,0.10378693,0.0031787453,0.83956206,0.0064384234,0.0016879527],"about_ca_topic_score_codex":0.000015245189,"about_ca_topic_score_gemma":0.000006168452,"teacher_disagreement_score":0.43533713,"about_ca_system_score_codex":0.00003084925,"about_ca_system_score_gemma":0.000028905042,"threshold_uncertainty_score":0.7977901},"labels":[],"label_agreement":null},{"id":"W2012418739","doi":"10.4153/cjm-2004-026-6","title":"Geodesics in a Manifold with Heisenberg Group as Boundary","year":2004,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Heisenberg group; Mathematics; Geodesic; Manifold (fluid mechanics); Boundary (topology); Class (philosophy); Group (periodic table); Pure mathematics; Totally geodesic; Mathematical analysis; Physics; Quantum mechanics; Computer science","score_opus":0.01981808627998833,"score_gpt":0.23983917836930368,"score_spread":0.22002109208931536,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012418739","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9746579,0.00073837495,0.016831446,0.00075819856,0.0001487891,0.00019921074,0.0000064552296,0.000011596549,0.0066480082],"genre_scores_gemma":[0.93571097,0.000025665147,0.06363186,0.00019693856,0.00011336864,0.0000029072726,0.000001688892,0.000045768862,0.00027086263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99818623,0.000034710196,0.00075806066,0.00013567437,0.00044904274,0.0004363075],"domain_scores_gemma":[0.9982309,0.00016659265,0.0004984939,0.00032168813,0.00022390942,0.00055843993],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009472527,0.00022436307,0.00057612674,0.0007877422,0.00010293129,0.00014688536,0.0003763798,0.0001292564,0.0001764836],"category_scores_gemma":[0.0005369396,0.00016941635,0.00017183772,0.0009679891,0.00007128446,0.00022942774,0.000012076248,0.000449868,0.000031507392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048103688,0.0010188615,0.007035258,0.0007719696,0.0008513927,0.0075291423,0.013056147,0.0012577779,0.0000701042,0.96087193,0.005423618,0.0020657163],"study_design_scores_gemma":[0.0029891666,0.0006978539,0.0016562865,0.0013368524,0.0004670358,0.0035148836,0.008622667,0.00013711897,0.00013685811,0.96921116,0.010559388,0.00067074713],"about_ca_topic_score_codex":0.00145192,"about_ca_topic_score_gemma":0.070125274,"teacher_disagreement_score":0.06867336,"about_ca_system_score_codex":0.00037450684,"about_ca_system_score_gemma":0.0013626856,"threshold_uncertainty_score":0.9468425},"labels":[],"label_agreement":null},{"id":"W2012667223","doi":"10.4153/cmb-2009-008-0","title":"Huber's Theorem for Hyperbolic Orbisurfaces","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Hyperbolic manifold; Ultraparallel theorem; Converse; Generalization; Hyperbolic equilibrium point; Spectrum (functional analysis); Relatively hyperbolic group; Converse theorem","score_opus":0.027660593143386293,"score_gpt":0.27423313809832467,"score_spread":0.24657254495493838,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012667223","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.435058,0.0012192976,0.056266576,0.07701558,0.0003706188,0.003252386,0.00016509982,0.0005824293,0.42607003],"genre_scores_gemma":[0.9600523,0.000008092964,0.028371364,0.002358853,0.0002092845,0.00004819808,0.000014915004,0.000043624215,0.008893371],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982232,0.000048392958,0.0004489623,0.0003325711,0.00026980916,0.0006770966],"domain_scores_gemma":[0.99793816,0.0006946819,0.000097774,0.00049514114,0.00014427173,0.00062997383],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00073550723,0.00026158986,0.0005336434,0.00025737274,0.00019485052,0.00012535411,0.000373455,0.00019312424,0.0112786535],"category_scores_gemma":[0.0021408033,0.00020909117,0.0002719742,0.0004317762,0.000062693034,0.000035673755,0.000013621495,0.00018032528,0.0027680227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007193294,0.00009465483,0.000012685924,0.00006360558,0.000053456555,0.0000114556115,0.00016702127,0.000003151933,0.000034852706,0.8502741,0.1450324,0.004245456],"study_design_scores_gemma":[0.0002928515,0.00008763177,0.00009231575,0.000047209567,0.000115226925,0.00001721818,0.00017813218,0.00034371478,0.0001037461,0.76942927,0.22899376,0.00029891467],"about_ca_topic_score_codex":0.000121112265,"about_ca_topic_score_gemma":0.00042328704,"teacher_disagreement_score":0.5249943,"about_ca_system_score_codex":0.00010154737,"about_ca_system_score_gemma":0.000117045056,"threshold_uncertainty_score":0.99800843},"labels":[],"label_agreement":null},{"id":"W2013311751","doi":"10.2996/kmj/1111588042","title":"Global lightlike manifolds and harmonicity","year":2005,"lang":"en","type":"article","venue":"Kodai Mathematical Journal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":74,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada; University of Windsor","keywords":"Mathematics; Hypersurface; Pure mathematics; Minkowski space; Manifold (fluid mechanics); Riemannian manifold; Harmonic; Class (philosophy); Ambient space; Space (punctuation); Mathematical analysis; Ricci-flat manifold; Harmonic map; Metric (unit); Mathematical physics; Physics; Geometry; Scalar curvature; Computer science; Curvature","score_opus":0.029329797996897337,"score_gpt":0.2992546840607671,"score_spread":0.2699248860638698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013311751","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7287881,0.0014664723,0.20599155,0.009619763,0.00021661365,0.00028519135,0.000015483938,0.00018131106,0.053435527],"genre_scores_gemma":[0.9137935,0.000101699356,0.08378273,0.00039202845,0.0006400828,0.000003858227,8.84259e-7,0.000023573806,0.0012616357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979778,0.000077628894,0.00066575204,0.00022683121,0.000621055,0.00043094016],"domain_scores_gemma":[0.99870586,0.0002719374,0.0002310733,0.00027315313,0.00013202975,0.0003859451],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009742022,0.00024247586,0.0005032086,0.000116824,0.00023070189,0.0002919296,0.00027847575,0.0001556905,0.0017600169],"category_scores_gemma":[0.0004915825,0.00016981635,0.00023815842,0.00044077358,0.00006944248,0.00027940754,0.00011071062,0.0003547998,0.00022236777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036708887,0.0010726512,0.0016104688,0.00016687396,0.00049619196,0.00012793193,0.0006022576,0.000010898371,0.00008384123,0.8769254,0.07832355,0.040543195],"study_design_scores_gemma":[0.00079995,0.00008599446,0.0016621194,0.000099357894,0.00035180344,0.0025940666,0.00025841861,0.0040547536,0.000075585565,0.97512484,0.014525319,0.0003677791],"about_ca_topic_score_codex":0.0000012669697,"about_ca_topic_score_gemma":0.000009307349,"teacher_disagreement_score":0.18500541,"about_ca_system_score_codex":0.000109267145,"about_ca_system_score_gemma":0.000039369694,"threshold_uncertainty_score":0.9991525},"labels":[],"label_agreement":null},{"id":"W2015747542","doi":"10.1088/0264-9381/23/20/009","title":"Static Ricci-flat 5-manifolds admitting the 2-sphere","year":2006,"lang":"en","type":"article","venue":"Classical and Quantum Gravity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Infinity; Gravitational singularity; Object (grammar); Class (philosophy); String (physics); Zero (linguistics); Basis (linear algebra); Soliton","score_opus":0.024701056655385783,"score_gpt":0.26992023597304343,"score_spread":0.24521917931765766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015747542","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9883521,0.00040641995,0.004478471,0.0031755883,0.00012784319,0.00015775609,0.000009177188,0.00007572867,0.0032169027],"genre_scores_gemma":[0.99598134,0.000015593125,0.0007137546,0.00018442569,0.00024715855,0.000010613958,0.00000764547,0.000016417207,0.0028230387],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857306,0.000121680496,0.00035590932,0.00029038303,0.00032874037,0.0003302123],"domain_scores_gemma":[0.9985755,0.00079628406,0.00014847062,0.00031226774,0.00006792463,0.00009953816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005039052,0.00019694479,0.00034694382,0.000044615066,0.0003222681,0.00012158903,0.00017417362,0.00011436297,0.0001144322],"category_scores_gemma":[0.00031817565,0.000110590896,0.00016632688,0.0005304041,0.00013806413,0.00008272868,0.00008748613,0.00031871424,0.00003740507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002072264,0.00030144682,0.007902898,0.00011187733,0.00008517111,0.000026302112,0.00014734027,0.000006333686,0.00026707578,0.9072164,0.07266933,0.011245079],"study_design_scores_gemma":[0.00046957843,0.00010645137,0.039581392,0.00003736615,0.00027808748,0.000019001904,0.00044021124,0.014604961,0.000091477945,0.8834304,0.060589634,0.0003514294],"about_ca_topic_score_codex":0.00009863714,"about_ca_topic_score_gemma":0.00018681725,"teacher_disagreement_score":0.031678494,"about_ca_system_score_codex":0.000020683035,"about_ca_system_score_gemma":0.00002282702,"threshold_uncertainty_score":0.45097658},"labels":[],"label_agreement":null},{"id":"W2016145161","doi":"10.4310/maa.2008.v15.n1.a7","title":"Explicit Yamabe Flow of an Asymmetric Cigar","year":2008,"lang":"en","type":"article","venue":"Methods and Applications of Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto; National Science Foundation","keywords":"Mathematics; Yamabe flow; Exponential map (Riemannian geometry); Conformal map; Constant (computer programming); Mathematical analysis; Flow (mathematics); Logarithm; Exponential function; Pure mathematics; Riemannian manifold; Manifold (fluid mechanics); Scalar curvature; Sectional curvature; Geometry; Curvature","score_opus":0.047061006082974144,"score_gpt":0.3842357644093174,"score_spread":0.33717475832634325,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016145161","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10769744,0.00065412506,0.889446,0.000034186334,0.0000047335016,0.0001396066,0.00001925479,0.000018780845,0.0019858424],"genre_scores_gemma":[0.4028251,0.00019906297,0.5966369,0.000012192596,0.000026359383,0.000042125346,0.000017781369,0.000008391984,0.00023213586],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99853414,0.00016822504,0.0005930787,0.00030181772,0.00026593963,0.0001367797],"domain_scores_gemma":[0.9978833,0.00057444896,0.0003857793,0.00077028887,0.0002865111,0.00009967152],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011613119,0.00013712334,0.0007529182,0.0013212992,0.00011670597,0.00001021929,0.00025137878,0.00009323033,0.000114520284],"category_scores_gemma":[0.000273708,0.00011372063,0.0003751584,0.008901934,0.00008376807,0.000085781336,0.000051742434,0.00009043013,0.0000013332916],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029103137,0.0022656338,0.018998072,0.00024457183,0.007589595,0.000002062246,0.0012821013,0.001053108,0.004139709,0.08040195,0.000897215,0.8830969],"study_design_scores_gemma":[0.002946981,0.0008841098,0.13699757,0.000053023654,0.05401129,0.000047448117,0.0067701815,0.33950076,0.08513181,0.33255717,0.038448554,0.0026511238],"about_ca_topic_score_codex":0.000098402474,"about_ca_topic_score_gemma":0.000013442324,"teacher_disagreement_score":0.8804458,"about_ca_system_score_codex":0.000008739622,"about_ca_system_score_gemma":0.000018309247,"threshold_uncertainty_score":0.46373925},"labels":[],"label_agreement":null},{"id":"W2016690843","doi":"10.4153/cjm-2010-068-1","title":"Holomorphic Variations of Minimal Disks with Boundary on a Lagrangian Surface","year":2010,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Holomorphic function; Mathematics; Submanifold; Lagrangian; Boundary (topology); Dimension (graph theory); Mathematical analysis; Immersion (mathematics); Pure mathematics","score_opus":0.023533081416355826,"score_gpt":0.249843042451353,"score_spread":0.22630996103499718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016690843","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9901717,0.00006995523,0.0058068046,0.00053803844,0.0001906395,0.00011824918,0.00004393067,0.000006046112,0.0030546533],"genre_scores_gemma":[0.93110645,0.0000029383868,0.06845442,0.000039606686,0.00009028756,8.1100166e-7,0.0000022701515,0.000027742186,0.0002754487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985497,0.00003955833,0.00063674647,0.00010192634,0.0004082612,0.00026379808],"domain_scores_gemma":[0.9974649,0.00048340473,0.0007587099,0.00037437133,0.00047842276,0.0004401837],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009168079,0.00017138623,0.0005074464,0.00042584,0.00012407008,0.000075030955,0.0003474859,0.00013171465,0.0004008531],"category_scores_gemma":[0.0010064028,0.00012169057,0.00018551934,0.0006675331,0.00014541244,0.00010983825,0.000007913889,0.0005267962,0.000012361345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015775173,0.0030886421,0.03168839,0.0016771518,0.0038356008,0.0011962128,0.025760846,0.000810028,0.0064633335,0.87215817,0.04955004,0.0036138452],"study_design_scores_gemma":[0.015265919,0.009814461,0.06032805,0.005262866,0.011374175,0.008324732,0.028641377,0.011844554,0.010994954,0.7446951,0.087913126,0.005540655],"about_ca_topic_score_codex":0.0002611529,"about_ca_topic_score_gemma":0.018484542,"teacher_disagreement_score":0.12746303,"about_ca_system_score_codex":0.000041180898,"about_ca_system_score_gemma":0.00089066324,"threshold_uncertainty_score":0.99942553},"labels":[],"label_agreement":null},{"id":"W2017362957","doi":"10.1515/crelle.2010.043","title":"On stable minimal disks in manifolds with nonnegative isotropic curvature","year":2010,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Holomorphic function; Scalar curvature; Mathematics; Curvature; Mathematical analysis; Sectional curvature; Boundary (topology); Isotropy; Domain (mathematical analysis); Pure mathematics; Manifold (fluid mechanics); Geometry; Physics","score_opus":0.014833905129871337,"score_gpt":0.2855169161976014,"score_spread":0.2706830110677301,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2017362957","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9167928,0.04907906,0.009634937,0.006369943,0.0039530434,0.0013100861,0.00014129534,0.00010566592,0.012613158],"genre_scores_gemma":[0.9170686,0.02386359,0.033291813,0.0005700772,0.0082957065,0.000037358208,0.0000417759,0.0005922741,0.01623881],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99076873,0.00060357346,0.0030317686,0.0009435523,0.0026964033,0.0019559779],"domain_scores_gemma":[0.9907674,0.0018155624,0.0037435992,0.0011939764,0.0012169534,0.0012625108],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0035396426,0.0016241627,0.0027679305,0.002369539,0.001355495,0.0022716112,0.0015212635,0.0010363256,0.0031170172],"category_scores_gemma":[0.0020351065,0.0010717998,0.0012531318,0.0024144675,0.00031047067,0.0011221087,0.00026249004,0.00999051,0.00042042194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.014732698,0.043198522,0.018335044,0.009031767,0.058610104,0.06685346,0.07227819,0.0065419427,0.019319318,0.28259268,0.36512965,0.043376636],"study_design_scores_gemma":[0.035002816,0.0131357685,0.004124506,0.022060897,0.01765833,0.016322866,0.019980976,0.008018321,0.0073354444,0.46788937,0.37938237,0.009088355],"about_ca_topic_score_codex":0.00003772047,"about_ca_topic_score_gemma":0.0007023998,"teacher_disagreement_score":0.18529668,"about_ca_system_score_codex":0.00050572644,"about_ca_system_score_gemma":0.0006184369,"threshold_uncertainty_score":0.9999446},"labels":[],"label_agreement":null},{"id":"W2018071646","doi":"10.1007/s00222-002-0259-2","title":"The Christoffel-Minkowski problem I: Convexity of solutions of a Hessian equation","year":2003,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":201,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Hessian matrix; Convexity; Minkowski space; Christoffel symbols; Hessian equation; Mathematical analysis; Pure mathematics; Applied mathematics; Mathematical physics; Partial differential equation","score_opus":0.11004835352652803,"score_gpt":0.30457464806694884,"score_spread":0.1945262945404208,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018071646","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15511313,0.0019255219,0.76516795,0.0010055404,0.00034889733,0.0016879904,0.000027132886,0.00013034945,0.074593484],"genre_scores_gemma":[0.97769207,0.000022311975,0.020969609,0.000007723157,0.00001719423,0.000060178874,0.0000048750685,0.000016969341,0.001209087],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99797314,0.00019852855,0.0009407786,0.0001617097,0.0004876518,0.00023821408],"domain_scores_gemma":[0.99752295,0.0007541809,0.0008129786,0.0005377549,0.0003177631,0.000054394946],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019962538,0.00014806192,0.00041650585,0.00015380846,0.00022861558,0.00002785297,0.00023080541,0.00009363526,0.0002508348],"category_scores_gemma":[0.0017308191,0.000099402314,0.0003144058,0.0008420844,0.00021481201,0.000110033885,0.000038746613,0.00011700848,0.000026869708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000037310433,0.00038395418,0.00012541031,0.00039593948,0.00013550902,2.5232063e-7,0.00045558182,0.0000055962523,0.0003310348,0.9965575,0.0012048789,0.00040061524],"study_design_scores_gemma":[0.00028083997,0.0000442768,0.00018949056,0.00015303137,0.00021521786,0.00000567225,0.0008576032,0.0010182837,0.0016483958,0.99447834,0.000997798,0.00011103457],"about_ca_topic_score_codex":0.000010172362,"about_ca_topic_score_gemma":0.00003023641,"teacher_disagreement_score":0.8225789,"about_ca_system_score_codex":0.00002750374,"about_ca_system_score_gemma":0.000065758555,"threshold_uncertainty_score":0.40535086},"labels":[],"label_agreement":null},{"id":"W2018987674","doi":"10.1007/s00208-004-0558-6","title":"A variational principle for gradient flows","year":2004,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Uniqueness; Variational principle; Dissipative system; Mathematical proof; Duality (order theory); Calculus of variations; Mathematical analysis; Parabolic partial differential equation; Applied mathematics; Conjecture; Regular polygon; Heat equation; Partial differential equation; Pure mathematics; Geometry","score_opus":0.043759274560209734,"score_gpt":0.3050432796847967,"score_spread":0.261284005124587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018987674","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06397498,0.010055053,0.9088383,0.0054428577,0.0017146224,0.0034737992,0.000704697,0.00028552834,0.005510186],"genre_scores_gemma":[0.24070776,0.0006753161,0.73199683,0.0010280493,0.0046311957,0.0012539165,0.0007256164,0.00039861083,0.018582707],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960879,0.0000792721,0.0012422444,0.0007688169,0.00094293896,0.000878808],"domain_scores_gemma":[0.9968644,0.0005755601,0.00070805196,0.0010005892,0.0005341232,0.00031729596],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0016266123,0.00061411655,0.0010462814,0.0004480234,0.00041121827,0.00029132902,0.0006462773,0.00040046396,0.0011472583],"category_scores_gemma":[0.0014936781,0.00053978595,0.000903969,0.0010907862,0.00006471546,0.0003067691,0.00019063267,0.0003895435,0.0018308162],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008460667,0.002515068,0.000093607974,0.0019013614,0.0026698853,0.000025405898,0.0048259757,0.0017458294,0.00017249362,0.9577187,0.026025724,0.0022213904],"study_design_scores_gemma":[0.0039290236,0.00045870797,0.00045708806,0.0006667581,0.0025796087,0.000036172496,0.0004139687,0.018457275,0.0005000079,0.64068055,0.33059838,0.0012224272],"about_ca_topic_score_codex":0.000020209265,"about_ca_topic_score_gemma":0.000035753415,"teacher_disagreement_score":0.3170381,"about_ca_system_score_codex":0.00019649115,"about_ca_system_score_gemma":0.00030469065,"threshold_uncertainty_score":0.9997658},"labels":[],"label_agreement":null},{"id":"W2019270511","doi":"10.1137/100803092","title":"Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher","year":2011,"lang":"en","type":"article","venue":"SIAM Journal on Numerical Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":140,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Discretization; Stencil; Viscosity solution; Mathematical analysis; Monotone polygon; Partial differential equation; Monge–Ampère equation; Elliptic curve; Newton's method; Convergence (economics); Finite difference; Viscosity; Finite element method; Applied mathematics; Nonlinear system; Geometry","score_opus":0.10551780363920514,"score_gpt":0.29318923752117504,"score_spread":0.18767143388196988,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019270511","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6555592,0.00030742184,0.3427424,0.0006611612,0.00018035222,0.00022341967,0.00001770276,0.0000114258955,0.00029692973],"genre_scores_gemma":[0.99652517,0.000075407224,0.002979834,0.000088046225,0.00003202045,0.0000090703,0.0000029552425,0.00000835808,0.00027915547],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9984652,0.00016903397,0.0005468339,0.00020040855,0.00037030512,0.00024822037],"domain_scores_gemma":[0.9984419,0.0005744842,0.00042908307,0.0002634167,0.0001670897,0.00012408086],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005081815,0.00015352781,0.0005098699,0.00041815877,0.0002207375,0.000024653746,0.00019167224,0.00006659437,0.00032847354],"category_scores_gemma":[0.00040237294,0.000092722796,0.00055913423,0.0020632113,0.00006981478,0.00006919262,0.000060719573,0.00027924372,0.0000033075432],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009921995,0.0096173715,0.65991133,0.00026155452,0.018974986,0.000040287097,0.0092093935,0.03920565,0.0026096667,0.2360575,0.0026715326,0.020448515],"study_design_scores_gemma":[0.0022096345,0.00052042573,0.534318,0.00013596872,0.010785958,0.000006634771,0.0006967159,0.30988234,0.00035756937,0.13999209,0.00046934813,0.00062536943],"about_ca_topic_score_codex":0.00008510203,"about_ca_topic_score_gemma":0.00007648641,"teacher_disagreement_score":0.340966,"about_ca_system_score_codex":0.00006496998,"about_ca_system_score_gemma":0.000029524537,"threshold_uncertainty_score":0.37811258},"labels":[],"label_agreement":null},{"id":"W2019645896","doi":"10.4153/cmb-2011-039-5","title":"On Characterizations of Real Hypersurfaces in a Complex Space Form with <i>η</i>-Parallel Shape Operator","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Operator (biology); Pure mathematics; Space (punctuation); Space form; Complex space; Algebra over a field; Computer science","score_opus":0.052975731849671005,"score_gpt":0.24532143372956616,"score_spread":0.19234570187989516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019645896","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9075125,0.000011168896,0.0010521759,0.0011808231,0.000015361644,0.00043380455,0.00004427852,0.000029567542,0.08972033],"genre_scores_gemma":[0.9750742,0.000008128298,0.023531225,0.00027652332,0.000015078241,0.00003695323,0.00001841273,0.000035674882,0.0010038328],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985699,0.000049081595,0.0004521706,0.0002573112,0.0002683729,0.0004031317],"domain_scores_gemma":[0.9987736,0.00024308373,0.00013541346,0.00038862202,0.00011026945,0.00034903458],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003074793,0.00021912059,0.00053505594,0.00035577372,0.00006820918,0.000028336537,0.00026865044,0.00011897021,0.018446958],"category_scores_gemma":[0.00038181298,0.00016491205,0.00008465897,0.0006345796,0.00010163612,0.000040387742,0.000021519149,0.00018068524,0.0006610015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009065896,0.00082543236,0.0014320014,0.0002752437,0.00013972487,0.00008183621,0.0035370737,0.000011525583,0.00018054286,0.982812,0.010336651,0.00027735156],"study_design_scores_gemma":[0.016843038,0.0051382,0.11811519,0.0038178621,0.001737088,0.00028154926,0.018511517,0.02675964,0.0017145827,0.72479403,0.0749548,0.007332481],"about_ca_topic_score_codex":0.0016954262,"about_ca_topic_score_gemma":0.0063123656,"teacher_disagreement_score":0.2580179,"about_ca_system_score_codex":0.000095201045,"about_ca_system_score_gemma":0.00014641463,"threshold_uncertainty_score":0.9824503},"labels":[],"label_agreement":null},{"id":"W2020581787","doi":"10.1007/bf03321014","title":"Minimal Surfaces whose Gauss Map Covers Periodically the Pointed Upper Half-Sphere Exactly Once","year":2003,"lang":"en","type":"article","venue":"Computational Methods and Function Theory","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Gauss map; Unit disk; Combinatorics; Gauss; Plane (geometry); Geometry; Upper and lower bounds; Mathematical analysis; Unit sphere; Point (geometry); Physics; Quantum mechanics","score_opus":0.029877648133950285,"score_gpt":0.3313161098741616,"score_spread":0.3014384617402113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020581787","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.066778965,0.0018082913,0.92583394,0.00051378796,0.00043426175,0.00017395377,0.000006348802,0.000052343577,0.0043981103],"genre_scores_gemma":[0.49355012,0.00002985959,0.5015522,0.0009869372,0.00012039745,0.000021024549,0.000019312465,0.00003181208,0.0036883506],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973985,0.001358957,0.0003677292,0.00032846784,0.00033677218,0.00020958975],"domain_scores_gemma":[0.9952547,0.0040177223,0.00019514067,0.0002037332,0.00022979072,0.00009892995],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0035033296,0.00020453795,0.00029761432,0.00009242593,0.000403535,0.00015627129,0.00012208168,0.000110490815,0.0014739758],"category_scores_gemma":[0.0016321195,0.00013493755,0.00016356021,0.00043945457,0.00018972061,0.00014617089,0.000037899266,0.00025523652,0.00003078207],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020818283,0.00013964398,0.0007202146,0.000047714057,0.00034124785,0.0000028258467,0.000692626,0.0023728516,0.00020769934,0.9513616,0.0034397135,0.040465698],"study_design_scores_gemma":[0.0006699589,0.00014941001,0.006548391,0.000031958753,0.0002608508,0.000029602928,0.0041055353,0.0100591965,0.0000783005,0.90344113,0.07433316,0.00029252615],"about_ca_topic_score_codex":0.0000051027605,"about_ca_topic_score_gemma":0.000002169113,"teacher_disagreement_score":0.42677113,"about_ca_system_score_codex":0.00002928574,"about_ca_system_score_gemma":0.00008572967,"threshold_uncertainty_score":0.9994388},"labels":[],"label_agreement":null},{"id":"W2020599968","doi":"10.1155/2014/835394","title":"A Review on Unique Existence Theorems in Lightlike Geometry","year":2014,"lang":"en","type":"review","venue":"Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Scalar curvature; Connection (principal bundle); Variety (cybernetics); Curvature of Riemannian manifolds; Riemann curvature tensor; Curvature; Ricci curvature; Null (SQL); Pure mathematics; Mathematics; Scalar (mathematics); Riemannian geometry; Geometry; Mathematical analysis; Sectional curvature; Computer science","score_opus":0.08047065691507536,"score_gpt":0.3791862785512303,"score_spread":0.29871562163615495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020599968","genre_codex":"review","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"review","genre_consensus":"review","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000007226084,0.9841025,0.00042835754,0.000075101234,0.0003943112,0.0013650202,0.0000392949,0.00014118337,0.013447025],"genre_scores_gemma":[0.000011886211,0.9938452,0.0011209121,0.0010533975,0.00039803883,0.00028690434,0.00014202615,0.00017649685,0.0029651036],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9935769,0.0008889724,0.0023144537,0.001292196,0.0009715618,0.00095592526],"domain_scores_gemma":[0.992625,0.0029615064,0.001474951,0.0024794599,0.00017636776,0.00028271007],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00476971,0.0012179634,0.006603059,0.0037208507,0.00010362341,0.000111679765,0.0015987788,0.0010425264,0.0010066512],"category_scores_gemma":[0.0053464514,0.0008511292,0.0019937311,0.01276203,0.00010153445,0.00011538077,0.00032427403,0.0020392628,0.0011331522],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002812319,0.0002694344,0.0000069916214,0.14493561,0.0002781865,0.000043935517,0.000013345134,2.1583996e-7,2.0318192e-8,0.025090575,0.027938424,0.80142045],"study_design_scores_gemma":[0.00013318239,0.00008443603,0.0000022856789,0.13151899,0.0011808233,0.00004417427,0.000010011215,0.0000028795384,2.0481605e-7,0.006952988,0.85928947,0.00078056136],"about_ca_topic_score_codex":0.000018578585,"about_ca_topic_score_gemma":0.000017315071,"teacher_disagreement_score":0.83135104,"about_ca_system_score_codex":0.00034105417,"about_ca_system_score_gemma":0.0002214052,"threshold_uncertainty_score":0.99990654},"labels":[],"label_agreement":null},{"id":"W2020969965","doi":"10.1016/j.top.2005.01.004","title":"Invariant fibrations of geodesic flows","year":2005,"lang":"en","type":"article","venue":"Topology","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Geodesic flow; Geodesic; Pure mathematics; Integrable system; Invariant (physics); Totally geodesic; Polyhedron; Manifold (fluid mechanics); Metric (unit); Geodesic map; Riemannian manifold; Mathematical analysis; Combinatorics; Mathematical physics","score_opus":0.039374362075517554,"score_gpt":0.3048158186942385,"score_spread":0.265441456618721,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020969965","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8824503,0.00042397343,0.05981732,0.0058730054,0.00019517905,0.00020290655,0.000011740536,0.00008042085,0.050945144],"genre_scores_gemma":[0.96906674,0.00000973601,0.02854146,0.00014520645,0.00013467661,0.0000059040162,0.000005117844,0.0000066797197,0.0020844897],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993716,0.000044367684,0.00025188818,0.00010748032,0.00008826813,0.00013638406],"domain_scores_gemma":[0.9993838,0.00019368193,0.00009116959,0.00024643634,0.00005181771,0.000033063716],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00018882142,0.000066993336,0.00021953942,0.00013748641,0.000038219096,0.0000051744596,0.00011661983,0.0000845603,0.0031455432],"category_scores_gemma":[0.00026884896,0.0000549436,0.00007902556,0.00031793767,0.00004181967,0.000054169497,0.000030067833,0.00007736111,0.00009210139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008745396,0.0002231223,0.00057927065,0.000024060355,0.00012037675,0.0000029049063,0.00059797993,0.00022539911,0.001517347,0.9690771,0.02063032,0.0069933496],"study_design_scores_gemma":[0.0022956557,0.00052582624,0.007594993,0.000038419836,0.00083745416,0.000105587154,0.0015991136,0.031696867,0.013037543,0.750307,0.19104522,0.0009163135],"about_ca_topic_score_codex":0.000033929846,"about_ca_topic_score_gemma":0.00032904014,"teacher_disagreement_score":0.21877012,"about_ca_system_score_codex":0.000012661119,"about_ca_system_score_gemma":0.000027333823,"threshold_uncertainty_score":0.9977657},"labels":[],"label_agreement":null},{"id":"W2020971778","doi":"10.1016/j.geomphys.2010.07.005","title":"A classification of Einstein lightlike hypersurfaces of a Lorentzian space form","year":2010,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Einstein; Conformal map; Constant curvature; Mathematics; Manifold (fluid mechanics); Einstein manifold; Curvature; Pure mathematics; Space (punctuation); Operator (biology); Space form; Mathematical analysis; Distribution (mathematics); Constant (computer programming); Mathematical physics; Ricci curvature; Geometry; Computer science; Submanifold","score_opus":0.026007311812662845,"score_gpt":0.2774346563045458,"score_spread":0.2514273444918829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020971778","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99458337,0.00023677055,0.0039605917,0.00014497188,0.00015495441,0.00004788082,0.000006891536,0.0000028259544,0.00086174766],"genre_scores_gemma":[0.99219877,0.000084038016,0.0074091367,0.000007024336,0.00017062142,3.6879203e-7,0.000001244505,0.00000885309,0.0001199504],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988813,0.000024964673,0.0005275221,0.0000829078,0.00037374024,0.00010958144],"domain_scores_gemma":[0.997975,0.0002485717,0.0011094593,0.00019504926,0.0003956652,0.000076236494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005909053,0.00010974602,0.00046312925,0.00018764654,0.000036034824,0.000017463612,0.00015924305,0.000095590796,0.000036947156],"category_scores_gemma":[0.0002674284,0.00007923524,0.00020779454,0.00093859696,0.00007514589,0.00021236675,0.000026204125,0.00030580573,9.626298e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00045422293,0.0043497733,0.111567706,0.0018129967,0.0021161567,0.000012385079,0.00618065,0.00008346567,0.465257,0.28269932,0.0042557684,0.121210575],"study_design_scores_gemma":[0.007928003,0.0034613607,0.21097815,0.0009051232,0.0035556052,0.00020342712,0.010996073,0.004730776,0.26524645,0.46933663,0.021286419,0.0013720018],"about_ca_topic_score_codex":0.0000063886223,"about_ca_topic_score_gemma":0.000008046746,"teacher_disagreement_score":0.20001054,"about_ca_system_score_codex":0.000007232235,"about_ca_system_score_gemma":0.000042066767,"threshold_uncertainty_score":0.3231119},"labels":[],"label_agreement":null},{"id":"W2022390604","doi":"10.1007/s00220-005-1410-x","title":"Superpotentials and the Cohomogeneity One Einstein Equations","year":2005,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Einstein; Complex system; Regular polygon; Pure mathematics; Mathematical physics; Hamiltonian system; Mathematical analysis; Hamiltonian (control theory); Geometry","score_opus":0.11597940699699386,"score_gpt":0.34802363703148936,"score_spread":0.2320442300344955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022390604","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08956704,0.0028338348,0.8284942,0.025685929,0.000040506606,0.0016970142,0.000021178694,0.00017779689,0.051482517],"genre_scores_gemma":[0.9041025,0.00023810669,0.095031306,0.00016942166,0.0000657081,0.000118237454,0.000011021485,0.000016955282,0.00024671783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99843425,0.00033983766,0.0005747492,0.00016760666,0.00028688333,0.00019667149],"domain_scores_gemma":[0.99384886,0.0039100708,0.00014128487,0.0019322034,0.000112155576,0.000055434473],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014774245,0.00014696077,0.00042772116,0.000075203134,0.0002888805,0.00009225516,0.0008157341,0.00007575735,0.00009841425],"category_scores_gemma":[0.0018494424,0.00010377039,0.00013064903,0.000767728,0.0005496502,0.00017639014,0.0004410747,0.00033996854,0.00009346574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004093874,0.00056321424,0.000048940285,0.000026186248,0.000056185963,7.3015265e-8,0.00076354056,0.00002516571,0.000033604632,0.9895703,0.00015003071,0.008758662],"study_design_scores_gemma":[0.0007430564,0.0000062709564,0.00014324236,0.00004761121,0.00016146098,0.0000014333025,0.0002637283,0.06306774,0.00006183376,0.9345333,0.0008381117,0.00013219395],"about_ca_topic_score_codex":0.000009966052,"about_ca_topic_score_gemma":0.000082511244,"teacher_disagreement_score":0.8145355,"about_ca_system_score_codex":0.000043648783,"about_ca_system_score_gemma":0.000025759346,"threshold_uncertainty_score":0.42316338},"labels":[],"label_agreement":null},{"id":"W2022986539","doi":"10.1007/s00205-013-0629-5","title":"Hölder Continuity and Injectivity of Optimal Maps","year":2013,"lang":"en","type":"article","venue":"Archive for Rational Mechanics and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Complex system; Hölder condition; Mathematics; Applied mathematics; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.016668037563779197,"score_gpt":0.2612772811411791,"score_spread":0.2446092435773999,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022986539","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30991957,0.00008270169,0.68920594,0.00023030597,0.000013036529,0.00021585124,0.0001634842,0.000007699698,0.00016136965],"genre_scores_gemma":[0.9545383,0.000015942735,0.045062665,0.000031183965,0.000024728206,0.000037900023,0.000092052614,0.0000061749665,0.00019108423],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992056,0.00003835703,0.00025334905,0.00021349189,0.00016975311,0.000119446326],"domain_scores_gemma":[0.99899834,0.00046338324,0.00016089175,0.00012470876,0.00018721611,0.00006542736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032379228,0.00010556136,0.00036971123,0.00028672023,0.00009729371,0.00004400357,0.000059155886,0.000041641346,0.00008400604],"category_scores_gemma":[0.00026541983,0.00008457743,0.00020551428,0.0004746156,0.000022397862,0.00010834268,0.000054136905,0.000060275743,8.479975e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014049756,0.00010465655,0.0026334766,0.00004498198,0.0015496063,1.7499856e-7,0.000281347,0.00006805586,0.0015217733,0.99038196,0.000758926,0.0026410185],"study_design_scores_gemma":[0.00032631317,0.0000921954,0.0057697548,0.000005794454,0.0013575852,0.0000011635397,0.00029470978,0.1952785,0.00015976682,0.7963257,0.0002521891,0.00013635414],"about_ca_topic_score_codex":0.00006340543,"about_ca_topic_score_gemma":0.00013284148,"teacher_disagreement_score":0.6446187,"about_ca_system_score_codex":0.0000053143626,"about_ca_system_score_gemma":0.000014798882,"threshold_uncertainty_score":0.34489673},"labels":[],"label_agreement":null},{"id":"W2023092859","doi":"10.1016/j.geomphys.2010.09.016","title":"Existence of parallel sections of a vector bundle","year":2010,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Trinity Western University; Western University","funders":"","keywords":"Connection (principal bundle); Vector-valued differential form; Mathematics; Frame bundle; Vector bundle; Normal bundle; Clifford bundle; Metric connection; Bundle; Tautological line bundle; Pure mathematics; Principal bundle; Flag (linear algebra); Parallel transport; Manifold (fluid mechanics); Metric (unit); Algebraic number; Mathematical analysis; Algebra over a field; Geometry; Ricci curvature; Fundamental theorem of Riemannian geometry; Curvature","score_opus":0.029175951666581882,"score_gpt":0.29067478195515845,"score_spread":0.26149883028857657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023092859","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98718846,0.00017937923,0.011688088,0.00003819978,0.00021131909,0.00003265978,0.000006666878,0.000002422522,0.0006528189],"genre_scores_gemma":[0.9816729,0.000052957843,0.01783601,0.000009120733,0.0002497645,4.2039446e-7,5.1628496e-7,0.0000064219676,0.00017190007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990832,0.00002442291,0.000453298,0.00006613929,0.0002775734,0.00009535924],"domain_scores_gemma":[0.99834603,0.00032190364,0.00072371063,0.00016578587,0.0003747966,0.000067801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043233356,0.000085804284,0.0004068233,0.00013830673,0.000039502564,0.000011969776,0.00013392179,0.00006917234,0.00006438618],"category_scores_gemma":[0.00035743957,0.00006428835,0.00021354968,0.00091423135,0.000072906056,0.00013820776,0.000026190452,0.0003333128,7.6495405e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00066684396,0.012484568,0.06713414,0.0032139958,0.00485948,0.000034370823,0.015315133,0.0010072928,0.11883919,0.72126484,0.010111129,0.045069017],"study_design_scores_gemma":[0.0035896585,0.0031969221,0.064106345,0.00045168973,0.002162385,0.0003899025,0.0055804513,0.0015870229,0.042416573,0.8691454,0.0065305275,0.0008431463],"about_ca_topic_score_codex":0.0000063334164,"about_ca_topic_score_gemma":0.0000047105245,"teacher_disagreement_score":0.14788054,"about_ca_system_score_codex":0.000004492503,"about_ca_system_score_gemma":0.00003954992,"threshold_uncertainty_score":0.2621603},"labels":[],"label_agreement":null},{"id":"W2023330249","doi":"10.1112/jlms/jdr043","title":"Inequalities for general mixed affine surface areas","year":2011,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Affine transformation; Isoperimetric inequality; Affine combination; Affine hull; Surface (topology); Affine coordinate system; Affine plane (incidence geometry)","score_opus":0.08644361816525106,"score_gpt":0.29593134965253953,"score_spread":0.20948773148728847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023330249","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8982114,0.00028325236,0.09815297,0.0010211219,0.00036445222,0.00030160605,0.000011902935,0.000023957296,0.0016293244],"genre_scores_gemma":[0.5389113,0.000050977185,0.45071268,0.00040315575,0.00062887545,0.0000089740115,0.0000012392242,0.000057918107,0.009224862],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796015,0.00010939407,0.00091437896,0.0001244048,0.0005881457,0.00030353983],"domain_scores_gemma":[0.997224,0.0008461922,0.0010430719,0.0003690826,0.00039655005,0.000121109566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020135562,0.00020472931,0.00066345255,0.00003219222,0.00014481215,0.00004985452,0.0005765425,0.0001520366,0.0005041862],"category_scores_gemma":[0.0017278454,0.00010866683,0.0015761862,0.00038747358,0.00009543008,0.00013691749,0.00010747899,0.00032838993,0.000008467979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020735861,0.0021956032,0.0020724603,0.0013190203,0.0026037209,0.000006996558,0.013121249,0.00007961049,0.0015463427,0.7011872,0.2740998,0.0015606452],"study_design_scores_gemma":[0.0013106017,0.00017831362,0.0008281194,0.00015352594,0.0008029575,0.00008009978,0.0019865767,0.0028067408,0.0036255738,0.9837183,0.0042348057,0.00027443614],"about_ca_topic_score_codex":0.0000033691385,"about_ca_topic_score_gemma":0.0000023033083,"teacher_disagreement_score":0.3593001,"about_ca_system_score_codex":0.000067940375,"about_ca_system_score_gemma":0.00005639168,"threshold_uncertainty_score":0.5520485},"labels":[],"label_agreement":null},{"id":"W2024086027","doi":"10.4153/cmb-2006-016-2","title":"Comparison Geometry With <i>L</i><sup>1</sup>-Norms of Ricci Curvature","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Ricci curvature; Curvature of Riemannian manifolds; Curvature; Bounded function; Sectional curvature; Pure mathematics; Geometry; Scalar curvature; Mathematical analysis","score_opus":0.015399755000134727,"score_gpt":0.24759444875049325,"score_spread":0.2321946937503585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024086027","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8382626,0.0009952436,0.01883936,0.004557493,0.0000667162,0.0009540733,0.00013248544,0.00018536721,0.13600664],"genre_scores_gemma":[0.9760548,0.0000032345802,0.017430747,0.00029494448,0.00016285111,0.000028866309,0.00004784394,0.000069319656,0.0059073847],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99708515,0.00007658857,0.0009151444,0.0004340251,0.0007107521,0.0007783309],"domain_scores_gemma":[0.9974691,0.00064349046,0.0003179253,0.0007600462,0.0002759506,0.00053348497],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006301946,0.000407579,0.0010793472,0.00063103077,0.00014829896,0.00008988011,0.00048820968,0.00032617728,0.011696586],"category_scores_gemma":[0.0006574595,0.00029572812,0.00025596796,0.0016412592,0.00019383643,0.00005500391,0.000045396624,0.00050952367,0.0014657739],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044028293,0.0009087881,0.011663265,0.00097165373,0.00041069507,0.00011571164,0.000534161,0.00079339376,0.000033301047,0.40634057,0.5773346,0.00084982853],"study_design_scores_gemma":[0.0030305702,0.00062788685,0.005034005,0.00093942747,0.0016254673,0.00022809919,0.0030031854,0.007869088,0.00090239686,0.3480272,0.6260808,0.0026318736],"about_ca_topic_score_codex":0.0021507218,"about_ca_topic_score_gemma":0.0020695436,"teacher_disagreement_score":0.13779218,"about_ca_system_score_codex":0.00014400111,"about_ca_system_score_gemma":0.00018478649,"threshold_uncertainty_score":0.99994946},"labels":[],"label_agreement":null},{"id":"W2024326641","doi":"10.4310/maa.2002.v9.n3.a7","title":"A Lioville Type Theorem for Minimizing Maps","year":2002,"lang":"en","type":"article","venue":"Methods and Applications of Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"York University; National Science Foundation","keywords":"Mathematics; Type (biology); Riemannian manifold; Planar; Manifold (fluid mechanics); Pure mathematics; Mathematical analysis","score_opus":0.06817794804966225,"score_gpt":0.39245626236222014,"score_spread":0.3242783143125579,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024326641","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0023801546,0.0011751407,0.99285704,0.00021100823,0.000006961481,0.00020528506,0.000016583275,0.000018436216,0.003129389],"genre_scores_gemma":[0.115787245,0.00020457299,0.8823653,0.000029542229,0.000045539793,0.0001074562,0.000013907142,0.000010138114,0.0014363014],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915636,0.00007492185,0.00032213927,0.00022434248,0.000103127124,0.000119128075],"domain_scores_gemma":[0.9982572,0.0008896705,0.00019423079,0.00040841254,0.00019893055,0.000051531777],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009073689,0.000097682445,0.00043201627,0.00046013284,0.00010924319,0.000025297839,0.0001400702,0.0000633176,0.00024550225],"category_scores_gemma":[0.00033496507,0.000077382676,0.00030285137,0.003227535,0.00004470331,0.0000344643,0.000030797186,0.00004953587,0.000002450759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014564771,0.0004663265,0.0012984795,0.00017359553,0.0043624104,1.7181237e-7,0.00052036584,0.00008423082,0.0012333109,0.4760691,0.0073849917,0.50839245],"study_design_scores_gemma":[0.00088919164,0.00017423625,0.00071925716,0.000020517724,0.022372963,0.0000031901643,0.0026670576,0.10502447,0.0034457543,0.57302105,0.29092804,0.0007342797],"about_ca_topic_score_codex":0.0000105538775,"about_ca_topic_score_gemma":0.000006561643,"teacher_disagreement_score":0.5076582,"about_ca_system_score_codex":0.0000064421515,"about_ca_system_score_gemma":0.0000035367789,"threshold_uncertainty_score":0.3155574},"labels":[],"label_agreement":null},{"id":"W2027398948","doi":"10.4153/cmb-2011-162-6","title":"Evolution of Eigenvalues along Rescaled Ricci Flow","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Ricci flow; Ricci curvature; Scalar curvature; Monotonic function; Eigenvalues and eigenvectors; Mathematical analysis; Flow (mathematics); Pure mathematics; Curvature; Entropy (arrow of time); Geometry","score_opus":0.04093507714517997,"score_gpt":0.23873850126383778,"score_spread":0.1978034241186578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027398948","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5897018,0.0008417406,0.11954342,0.0011318863,0.0002662126,0.0010185733,0.00008060671,0.00018424066,0.28723156],"genre_scores_gemma":[0.94929045,0.0000046182,0.048151497,0.00007652824,0.00007017647,0.000021842101,0.000005216282,0.00003414554,0.0023455343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981058,0.000100760095,0.00066014286,0.00027928903,0.00036650465,0.00048746858],"domain_scores_gemma":[0.9982458,0.0003013924,0.0001716215,0.0005758342,0.00019738912,0.0005079574],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00082761975,0.00021605464,0.0005304701,0.0004349649,0.00010077731,0.000021143238,0.00034960444,0.00020275523,0.0302345],"category_scores_gemma":[0.001973014,0.00018317792,0.00024528257,0.0006535531,0.00012372601,0.000038853203,0.000038256225,0.00020011586,0.002960171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027842958,0.00041007786,0.0021557389,0.00048061775,0.0002592609,0.00007440402,0.0020612206,0.000006042182,0.000059550013,0.9233648,0.06881161,0.002288802],"study_design_scores_gemma":[0.00049400085,0.00012174757,0.0044870167,0.00020920252,0.0003662653,0.000035070796,0.0011507742,0.0023576235,0.00047871555,0.97933996,0.010418818,0.00054082007],"about_ca_topic_score_codex":0.003150103,"about_ca_topic_score_gemma":0.0029209252,"teacher_disagreement_score":0.35958868,"about_ca_system_score_codex":0.00019013303,"about_ca_system_score_gemma":0.00017544882,"threshold_uncertainty_score":0.99781615},"labels":[],"label_agreement":null},{"id":"W2028531548","doi":"10.1007/s40304-013-0016-4","title":"Detecting Quaternionic Maps Between Hyperkähler Manifolds","year":2013,"lang":"en","type":"article","venue":"Communications in Mathematics and Statistics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Morphism; Mathematics; Harmonic map; Harmonic; Pure mathematics; Quaternionic representation; Hyperkähler manifold; Type (biology); Mathematical analysis; Ricci-flat manifold; Geometry; Geology; Physics; Acoustics; Paleontology","score_opus":0.08778496123603743,"score_gpt":0.33670203601168736,"score_spread":0.24891707477564992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028531548","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3397641,0.0015150349,0.6379587,0.0012505237,0.0001115462,0.0013595519,0.00018462732,0.00018697054,0.017668927],"genre_scores_gemma":[0.49262065,0.00024217887,0.506582,0.000019232832,0.000018013005,0.00005521482,0.000032403517,0.000022462038,0.0004078639],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855363,0.00008844177,0.00069471076,0.00018395964,0.00021994086,0.00025932817],"domain_scores_gemma":[0.99605876,0.0021876637,0.00024042209,0.0012645174,0.00016300326,0.00008563941],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068274507,0.00018566284,0.00040364932,0.00024855934,0.00022023784,0.00017490034,0.00059360825,0.000109218665,0.00013590307],"category_scores_gemma":[0.0009153677,0.00016419847,0.000046502184,0.00047674577,0.000108916895,0.0001233034,0.00035504642,0.00032957722,0.00009048332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[9.571576e-7,0.00041486527,0.017044509,0.0003850586,0.00015017147,0.0000026216564,0.0026421298,0.0000065889326,0.00005658128,0.9197905,0.004524716,0.054981302],"study_design_scores_gemma":[0.00028785111,0.000030304429,0.007065865,0.000097473996,0.000113914415,0.00000807567,0.0016463804,0.03126889,0.000010024374,0.9577346,0.0014558658,0.00028074387],"about_ca_topic_score_codex":0.00009362494,"about_ca_topic_score_gemma":0.00015640532,"teacher_disagreement_score":0.15285656,"about_ca_system_score_codex":0.000044300174,"about_ca_system_score_gemma":0.000020916023,"threshold_uncertainty_score":0.66958195},"labels":[],"label_agreement":null},{"id":"W2028932254","doi":"10.1093/imrn/rnn154","title":"Non-Kähler Expanding Ricci Solitons","year":2009,"lang":"de","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Ricci flow; Pure mathematics; Mathematical physics; Ricci curvature; Geometry","score_opus":0.13578738994412204,"score_gpt":0.4543285829715588,"score_spread":0.3185411930274368,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028932254","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43048137,0.009232586,0.04387372,0.031297095,0.010147826,0.0039950246,0.00032635478,0.00051906216,0.47012696],"genre_scores_gemma":[0.95341337,0.00080810284,0.025240416,0.00020105248,0.0030921348,0.00004947909,0.0000711331,0.00008547519,0.017038846],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9912032,0.00024352384,0.0015317173,0.0008563802,0.004773094,0.0013920832],"domain_scores_gemma":[0.9924341,0.0032454084,0.0006520509,0.001159818,0.0020297833,0.0004788555],"candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00541799,0.0005898735,0.00095557806,0.00221519,0.00059964025,0.0017303176,0.0023591882,0.00044557237,0.0032642162],"category_scores_gemma":[0.0052819476,0.0005045597,0.00058441446,0.0021122245,0.0002676511,0.00074395665,0.0005061362,0.0016255162,0.0046427576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027271154,0.01810951,0.0012593878,0.002432294,0.0076868488,0.00074528455,0.029308556,0.0012683447,0.004545048,0.62454677,0.2843097,0.025515584],"study_design_scores_gemma":[0.0026039616,0.00096541847,0.0023087093,0.0030831064,0.001121714,0.00003850475,0.012626056,0.26092297,0.0029535375,0.61502177,0.09634118,0.0020131117],"about_ca_topic_score_codex":0.000051796604,"about_ca_topic_score_gemma":0.00002226229,"teacher_disagreement_score":0.522932,"about_ca_system_score_codex":0.00048252163,"about_ca_system_score_gemma":0.00025307594,"threshold_uncertainty_score":0.9997406},"labels":[],"label_agreement":null},{"id":"W2029180143","doi":"10.1088/1742-6596/380/1/012023","title":"Soliton surfaces associated with ℂ<i>P</i><sup><i>N</i>−1</sup>sigma models","year":2012,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec à Trois-Rivières","funders":"","keywords":"Soliton; Representation (politics); Sigma; Surface (topology); Immersion (mathematics); Lie group","score_opus":0.0576487388962622,"score_gpt":0.26605504785554723,"score_spread":0.20840630895928502,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029180143","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9121276,0.00048489845,0.08241034,0.00031293038,0.00016829644,0.00013135503,0.000019152663,0.00004159536,0.004303784],"genre_scores_gemma":[0.9951727,0.00008961314,0.0036119218,0.000049535753,0.00038224529,0.000002690511,0.0000059297,0.000029812558,0.000655597],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979188,0.00013488521,0.00058096123,0.00013360994,0.0007772692,0.0004544635],"domain_scores_gemma":[0.99724936,0.0003164724,0.00093365385,0.0002594167,0.0010397891,0.00020132012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078309077,0.0002776829,0.00074481085,0.00011473843,0.00012833565,0.00014983688,0.00031988282,0.00011822619,0.00009046905],"category_scores_gemma":[0.00028370452,0.00018925041,0.00022981953,0.00066580833,0.00011400851,0.002188289,0.00005091269,0.00043831635,0.000005967275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005470446,0.0033686874,0.023287239,0.00029093723,0.004500822,0.000052294294,0.027040808,0.025351835,0.0017415241,0.87760735,0.012406599,0.02380486],"study_design_scores_gemma":[0.0030827902,0.0016712721,0.0035695825,0.001081879,0.0025909655,0.0001906576,0.018164797,0.0150595745,0.039724406,0.9099037,0.0031151604,0.0018452008],"about_ca_topic_score_codex":0.000007910909,"about_ca_topic_score_gemma":0.000010539069,"teacher_disagreement_score":0.08304501,"about_ca_system_score_codex":0.000056699864,"about_ca_system_score_gemma":0.00018890861,"threshold_uncertainty_score":0.7717408},"labels":[],"label_agreement":null},{"id":"W2031469860","doi":"10.1016/j.jde.2012.06.013","title":"Characterization of the generic unfolding of a weak focus","year":2012,"lang":"en","type":"preprint","venue":"Journal of Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Universidad Austral de Chile","keywords":"Foliation (geology); Holomorphic function; Monodromy; Vector field; Fibered knot; Mathematics; Pure mathematics; Topological conjugacy; Gravitational singularity; Focus (optics); Characterization (materials science); Dimension (graph theory); Manifold (fluid mechanics); Section (typography); Field (mathematics); Mathematical analysis; Geometry; Computer science; Physics","score_opus":0.06339215211160852,"score_gpt":0.2925043315143361,"score_spread":0.22911217940272754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031469860","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6673625,0.00018677156,0.3311753,0.0001222418,0.00084833597,0.00013706466,0.000035411344,0.0000031899212,0.00012920475],"genre_scores_gemma":[0.99814963,0.00005664922,0.0011256401,0.0000036929519,0.00047590703,0.0000041494914,0.000015579984,0.000018800913,0.00014995041],"study_design_codex":"bench_or_experimental","study_design_gemma":"observational","domain_scores_codex":[0.9975869,0.00016940327,0.0013083634,0.00009730553,0.00069683354,0.00014116798],"domain_scores_gemma":[0.9945676,0.00024354954,0.004067092,0.00039239504,0.00066851947,0.000060866594],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042019735,0.00017784724,0.0007105081,0.0004257784,0.000058860885,0.000032564243,0.00046311755,0.00020895999,0.00027869456],"category_scores_gemma":[0.00074995327,0.00011329163,0.0007700374,0.00054913,0.000041679974,0.00010377488,0.00025239828,0.0004682497,9.628613e-7],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000081169244,0.0027670858,0.0060696243,0.0013380265,0.0040994724,0.0000011238448,0.0039819246,0.000880766,0.8718632,0.09401045,0.00056473323,0.014342453],"study_design_scores_gemma":[0.0053190817,0.00059422984,0.3179618,0.006610797,0.03539619,0.00007156904,0.001597871,0.027011903,0.2955734,0.30616164,0.0013354126,0.002366111],"about_ca_topic_score_codex":0.000012262283,"about_ca_topic_score_gemma":0.000011096817,"teacher_disagreement_score":0.5762898,"about_ca_system_score_codex":0.00005678563,"about_ca_system_score_gemma":0.00016843723,"threshold_uncertainty_score":0.46198985},"labels":[],"label_agreement":null},{"id":"W2031832111","doi":"10.4007/annals.2003.158.1099","title":"Corrigendum to “Convex hypersurfaces of prescribed curvature”","year":2003,"lang":"en","type":"erratum","venue":"Annals of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Regular polygon; Curvature; Pure mathematics; Geometry","score_opus":0.17372374424353504,"score_gpt":0.3573250467463444,"score_spread":0.18360130250280937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031832111","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02049331,0.047691017,0.022399545,0.0055146697,0.085920356,0.007783708,0.0028295799,0.00059417385,0.80677366],"genre_scores_gemma":[0.0037248589,0.0021162452,0.095915996,0.0010123597,0.0007503153,0.00007641927,0.00024100898,0.00039556186,0.8957672],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9950836,0.00014382793,0.0020060067,0.00056039577,0.0015559247,0.00065024977],"domain_scores_gemma":[0.9939526,0.00038705525,0.0022106334,0.001724926,0.0014549808,0.0002698431],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001626896,0.0007526666,0.0028445008,0.00080779433,0.000066273584,0.000050336184,0.0011212116,0.0010553462,0.00089222984],"category_scores_gemma":[0.0041407277,0.00062610634,0.00095649884,0.0017276845,0.00012922294,0.00011434149,0.00020604613,0.0008794323,0.000079413854],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010411559,0.00080331584,0.000014290188,0.0034096634,0.00097138964,0.0000049425103,0.0015564169,0.0000043813347,0.00006833617,0.0126569215,0.98026377,0.00023618228],"study_design_scores_gemma":[0.00031028793,0.00037922844,0.000029768777,0.0017974597,0.0012394,0.000010177715,0.0014286204,0.00022593798,0.0036295108,0.05784008,0.9321121,0.0009974572],"about_ca_topic_score_codex":0.000032827033,"about_ca_topic_score_gemma":0.000022933837,"teacher_disagreement_score":0.088993594,"about_ca_system_score_codex":0.00002153982,"about_ca_system_score_gemma":0.00024865064,"threshold_uncertainty_score":0.999619},"labels":[],"label_agreement":null},{"id":"W2032266384","doi":"10.1016/s0926-2245(03)00035-4","title":"On the optimality of J. Cheeger and P. Buser inequalities","year":2003,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Constant (computer programming); Laplace operator; Eigenvalues and eigenvectors; Zero (linguistics); Pure mathematics; Riemannian manifold; Mathematical analysis; Combinatorics","score_opus":0.04260128155889111,"score_gpt":0.28494947909422885,"score_spread":0.24234819753533773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032266384","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9831796,0.00048094636,0.012849124,0.0002168437,0.000018036937,0.0002630376,0.000030307805,0.000014920368,0.0029471484],"genre_scores_gemma":[0.99869317,0.00013116971,0.00023864862,0.000059127655,0.000025064553,0.00007657263,0.0000072451326,0.000007857122,0.00076113216],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992303,0.000068746325,0.00024167655,0.000180036,0.00015638542,0.00012281457],"domain_scores_gemma":[0.9987972,0.0006916437,0.00011462627,0.00026225025,0.00008236453,0.00005190892],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002917741,0.00011526706,0.00021846392,0.00011860997,0.0001523126,0.000036741014,0.00009167121,0.00006738766,0.00051519275],"category_scores_gemma":[0.000368138,0.00007182704,0.000057759124,0.0005597782,0.000064810556,0.0000412166,0.000034179877,0.0001195137,0.00000538375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003690687,0.00013888773,0.00039491223,0.000053261127,0.00006364578,3.8225828e-8,0.00009949319,8.2392256e-7,0.00044796217,0.997969,0.00036184065,0.00046646086],"study_design_scores_gemma":[0.0014930593,0.0002463894,0.045472566,0.0000904997,0.0009551439,0.000011134578,0.0032399637,0.0008004265,0.016019002,0.90336365,0.027318118,0.0009900376],"about_ca_topic_score_codex":0.00000528192,"about_ca_topic_score_gemma":0.0000017500608,"teacher_disagreement_score":0.09460533,"about_ca_system_score_codex":0.000004266478,"about_ca_system_score_gemma":0.00000765018,"threshold_uncertainty_score":0.56409997},"labels":[],"label_agreement":null},{"id":"W2032282328","doi":"10.1016/j.geomphys.2014.11.007","title":"Special geometries associated to quaternion-Kähler 8-manifolds","year":2014,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dawson College","funders":"Deutsches Elektronen-Synchrotron; Japan Society for the Promotion of Science; Ministero dell’Istruzione, dell’Università e della Ricerca; Politecnico di Torino; Université du Québec à Montréal","keywords":"Quaternion; Mathematics; Manifold (fluid mechanics); Quotient; Hyperkähler manifold; Pure mathematics; Action (physics); Differential geometry; Projective plane; Differential (mechanical device); Mathematical analysis; Algebra over a field; Geometry; Hermitian manifold; Ricci curvature; Physics","score_opus":0.023047584128357484,"score_gpt":0.2736300874555761,"score_spread":0.2505825033272186,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032282328","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94840425,0.00009430162,0.047085002,0.00034520496,0.00087169744,0.00007408359,0.000008229735,0.000014642729,0.0031025598],"genre_scores_gemma":[0.9900008,0.000041556923,0.0021232297,0.00026002273,0.0065158466,8.502962e-7,0.0000029858002,0.000022223936,0.0010325207],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982279,0.00009457372,0.0006012768,0.0001613678,0.00063887995,0.0002760196],"domain_scores_gemma":[0.9978522,0.00069628115,0.0005905267,0.000197191,0.0004384533,0.00022534406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00155036,0.00020156555,0.00065243524,0.00041411692,0.00012613917,0.00013764929,0.0002371786,0.0001222565,0.0001875116],"category_scores_gemma":[0.0019041179,0.00015550137,0.00026038176,0.0021550797,0.00003374058,0.000261908,0.000075608266,0.00033166434,0.000030615112],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00046854228,0.0029394398,0.092639565,0.00037448868,0.0034407936,0.00006651824,0.0037723077,0.0010114847,0.001093797,0.10272301,0.37159643,0.41987363],"study_design_scores_gemma":[0.004566812,0.003600581,0.15247348,0.0004777227,0.0017413463,0.000103383885,0.0013324956,0.00080921187,0.0026966794,0.43626857,0.39415222,0.00177749],"about_ca_topic_score_codex":0.000005459282,"about_ca_topic_score_gemma":0.0000063537104,"teacher_disagreement_score":0.41809613,"about_ca_system_score_codex":0.000042881667,"about_ca_system_score_gemma":0.000028524735,"threshold_uncertainty_score":0.63411623},"labels":[],"label_agreement":null},{"id":"W2032516486","doi":"10.4310/mrl.2005.v12.n2.a7","title":"The Existence of Horizons in an Asymptotically Flat 3-Manifold","year":2005,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Manifold (fluid mechanics); Pure mathematics; Mathematical analysis","score_opus":0.1222678020389463,"score_gpt":0.40856527602041054,"score_spread":0.2862974739814642,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032516486","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96670353,0.0001027102,0.0077040796,0.015681919,0.00002823493,0.000489916,0.0000027263502,0.000039604223,0.009247249],"genre_scores_gemma":[0.98064137,0.000021140335,0.018437373,0.0001650067,0.00012536143,0.000053714433,0.000001315536,0.000027731126,0.0005270148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959996,0.0004791313,0.00073397363,0.00032685153,0.0016664541,0.00079402386],"domain_scores_gemma":[0.9928714,0.005681033,0.00009230752,0.00089287537,0.00025084743,0.00021154193],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006063229,0.00016775064,0.00040701317,0.00035798227,0.00019536552,0.00015735759,0.00089712377,0.00010775506,0.00026805827],"category_scores_gemma":[0.006746885,0.00010369684,0.00015404703,0.0014344945,0.0003686759,0.00021012845,0.0001918633,0.0007341324,0.0001740078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003838988,0.0004575946,0.0003567493,0.00014574181,0.00005368775,0.000021825585,0.0007502243,0.000015215138,0.0073487773,0.98002964,0.0050836382,0.005698525],"study_design_scores_gemma":[0.0012216431,0.00062955654,0.0028431,0.00046075197,0.00009495645,0.000024646364,0.0027030047,0.026492437,0.0048221736,0.95169336,0.008318227,0.00069617614],"about_ca_topic_score_codex":0.000008914435,"about_ca_topic_score_gemma":0.00013495285,"teacher_disagreement_score":0.028336303,"about_ca_system_score_codex":0.00011065089,"about_ca_system_score_gemma":0.000052599178,"threshold_uncertainty_score":0.80771387},"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,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_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","score_opus":0.03069683717771471,"score_gpt":0.2354787646090221,"score_spread":0.20478192743130738,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033360875","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6081665,0.0036341029,0.38702932,0.0001583911,0.0001237752,0.00022155185,0.0002804172,0.000050248604,0.000335712],"genre_scores_gemma":[0.9873918,0.00043367507,0.009727887,0.00007163513,0.00009961514,0.0000348367,0.00019199771,0.000024153136,0.002024384],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.996909,0.00009932639,0.0009587759,0.0007020389,0.00091146346,0.00041935794],"domain_scores_gemma":[0.9957567,0.0024169036,0.00038867447,0.0004673992,0.00067275006,0.00029755724],"candidate_categories":["metaepi_narrow","bibliometrics","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001002863,0.0003817504,0.0012029895,0.00869476,0.00018698537,0.00016263645,0.00016583478,0.00019978663,0.0038177085],"category_scores_gemma":[0.0018617276,0.00029019546,0.00042207894,0.0277686,0.00030517453,0.00024767217,0.00021354997,0.00037169154,0.000087870605],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008009771,0.0013406732,0.7079148,0.0011668913,0.018398317,0.0000149038315,0.0002285644,0.00015765379,0.0002508994,0.08835541,0.048123796,0.133968],"study_design_scores_gemma":[0.0005681631,0.0001996859,0.9184894,0.000015787606,0.006590215,0.000019160125,0.00038998039,0.010883997,0.000015769596,0.060556483,0.0017488777,0.0005224808],"about_ca_topic_score_codex":0.0007164013,"about_ca_topic_score_gemma":0.000035360576,"teacher_disagreement_score":0.3792253,"about_ca_system_score_codex":0.000065344444,"about_ca_system_score_gemma":0.000027949292,"threshold_uncertainty_score":0.999955},"labels":[],"label_agreement":null},{"id":"W2034003991","doi":"10.4153/cmb-2006-014-8","title":"Real Hypersurfaces in Complex Two-Plane Grassmannians with Vanishing Lie Derivative","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Canadian Mathematical Society","keywords":"Mathematics; Grassmannian; Pure mathematics; Lie derivative; Vector field; Plane (geometry); Totally geodesic; Derivative (finance); Geodesic; Lie group; Type (biology); Mathematical analysis; Geometry; Adjoint representation of a Lie algebra; Lie conformal algebra","score_opus":0.026432350444961946,"score_gpt":0.25259792496722727,"score_spread":0.22616557452226532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034003991","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8474391,0.000042119376,0.0030924408,0.0037456742,0.000024391571,0.00043656272,0.000038780207,0.00009016216,0.14509074],"genre_scores_gemma":[0.9694579,0.0000037740308,0.027887998,0.00024176866,0.00008904826,0.000029979663,0.00005540044,0.00005255697,0.00218157],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978234,0.00010017127,0.0005470466,0.00039542414,0.0004095795,0.0007243521],"domain_scores_gemma":[0.99837846,0.0006231485,0.00014537007,0.0003901457,0.000101100515,0.00036176507],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005344218,0.00031737407,0.0006301092,0.00037803268,0.00015322812,0.00015763858,0.00032761213,0.00013855763,0.006801314],"category_scores_gemma":[0.0003330233,0.00025335845,0.00009463107,0.0008170397,0.00013026965,0.000059462316,0.000028518247,0.0003386922,0.0011549094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058191104,0.0006626796,0.011553136,0.00043871044,0.00025772591,0.0011424823,0.001971355,0.0003665708,0.00041168448,0.8280476,0.15438132,0.00070855994],"study_design_scores_gemma":[0.0055295583,0.0005073051,0.035931394,0.00084652443,0.0006211192,0.00034191544,0.008363879,0.004286667,0.00038255355,0.8007115,0.13911718,0.0033604119],"about_ca_topic_score_codex":0.024551626,"about_ca_topic_score_gemma":0.1239124,"teacher_disagreement_score":0.14290917,"about_ca_system_score_codex":0.00025393188,"about_ca_system_score_gemma":0.00014583599,"threshold_uncertainty_score":0.9999919},"labels":[],"label_agreement":null},{"id":"W2035084776","doi":"10.4153/cmb-2011-035-2","title":"Parabolic Geodesics in Sasakian 3-Manifolds","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Chonnam National University; National Research Foundation","keywords":"Mathematics; Geodesic; Pure mathematics; Space (punctuation); Mathematical analysis","score_opus":0.058340291303575514,"score_gpt":0.25328363466983916,"score_spread":0.19494334336626365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035084776","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4512335,0.0002589344,0.004747649,0.002363351,0.00015859451,0.00074724044,0.000023989349,0.00014889943,0.54031783],"genre_scores_gemma":[0.9838159,0.00000944616,0.011445088,0.00071712804,0.000069728354,0.00004825937,0.0000052959667,0.00004985879,0.0038393103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99790806,0.00008744312,0.0005976115,0.0003499745,0.00028985817,0.000767035],"domain_scores_gemma":[0.99829894,0.0002602015,0.000099975856,0.00058100146,0.00007338099,0.00068652304],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007800589,0.00026875662,0.00053240894,0.00055368635,0.00008433331,0.00005348724,0.0004240953,0.00024153726,0.044329647],"category_scores_gemma":[0.0010661291,0.00023853134,0.0001699832,0.00081818335,0.00008026334,0.000044478646,0.000038006074,0.0003308265,0.009108737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009026045,0.00027901446,0.0017199733,0.00014694125,0.0000705274,0.00029162527,0.0018481181,0.0000013350871,0.0000055112037,0.9533679,0.040093083,0.0021669315],"study_design_scores_gemma":[0.00056305865,0.00006350699,0.005203968,0.00014656637,0.000119698576,0.00005033278,0.00084430526,0.00032683872,0.000070843045,0.9014073,0.090501115,0.0007024376],"about_ca_topic_score_codex":0.0038914923,"about_ca_topic_score_gemma":0.014846899,"teacher_disagreement_score":0.5364785,"about_ca_system_score_codex":0.00016458626,"about_ca_system_score_gemma":0.00015617887,"threshold_uncertainty_score":0.9916628},"labels":[],"label_agreement":null},{"id":"W2035245238","doi":"10.1007/s00526-010-0362-y","title":"The Ma–Trudinger–Wang curvature for natural mechanical actions","year":2010,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Curvature; Hamiltonian (control theory); Anharmonicity; Action (physics); Harmonic oscillator; Mathematical analysis; Mathematical physics; Quartic function; Pure mathematics; Geometry; Quantum mechanics; Physics; Mathematical optimization","score_opus":0.044744583999992205,"score_gpt":0.32372222751517904,"score_spread":0.27897764351518684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035245238","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020017192,0.000100433426,0.97641754,0.001480172,0.0012568481,0.00041200055,0.00008960664,0.000041000345,0.00018522848],"genre_scores_gemma":[0.9963403,0.000016793665,0.0023288894,0.000020467885,0.00042264754,0.00012777848,0.00007834141,0.000016317408,0.0006485111],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99874645,0.00006052999,0.00045942873,0.00022726308,0.00024900134,0.00025730595],"domain_scores_gemma":[0.99715835,0.0018201682,0.00024149424,0.00034362514,0.0003339865,0.00010238935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035550693,0.00015847954,0.00026085932,0.00011747769,0.00096276094,0.0001529315,0.00018920985,0.00016835688,0.00014749853],"category_scores_gemma":[0.0025166746,0.00010873436,0.0002529212,0.00044664007,0.00009842445,0.00013485311,0.000059874114,0.00035404935,0.0000035811859],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016275315,0.000116773655,0.0000073346987,0.000012500813,0.00015898197,7.5352354e-8,0.0001172462,0.0000055381984,0.010849533,0.9846231,0.0009165055,0.0031761336],"study_design_scores_gemma":[0.0016928116,0.00016217878,0.002013616,0.00003074927,0.0019971638,0.0000060994093,0.00035541767,0.88105196,0.0042544543,0.07872138,0.029139513,0.0005746298],"about_ca_topic_score_codex":0.000029209948,"about_ca_topic_score_gemma":0.00040451146,"teacher_disagreement_score":0.97632307,"about_ca_system_score_codex":0.000012793373,"about_ca_system_score_gemma":0.000062056824,"threshold_uncertainty_score":0.74048764},"labels":[],"label_agreement":null},{"id":"W2035312386","doi":"10.1007/s10959-014-0553-0","title":"The Rate of Decay of the Wiener Sausage in Local Dirichlet Space","year":2014,"lang":"en","type":"article","venue":"Journal of Theoretical Probability","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Actua","funders":"","keywords":"Mathematics; Euclidean space; Dirichlet form; Dirichlet distribution; Ricci curvature; Ball (mathematics); Combinatorics; Mathematical analysis; Pure mathematics; Curvature; Geometry","score_opus":0.012833431003973262,"score_gpt":0.2602408845783258,"score_spread":0.2474074535743525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035312386","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95247215,0.00016653052,0.040422976,0.0034678283,0.0001792895,0.00019502004,0.0000020909204,0.000002944982,0.0030911423],"genre_scores_gemma":[0.9983594,0.000011989242,0.0014860072,0.00004078644,0.000048159513,0.0000013750669,6.8386065e-8,0.00000787875,0.000044361088],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970276,0.0011159698,0.0010463707,0.00012253439,0.0004802061,0.00020735487],"domain_scores_gemma":[0.9949411,0.0032408645,0.00075922586,0.00058776716,0.00039763324,0.00007340495],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.009712817,0.00012597682,0.0005385401,0.00006762188,0.000053160802,0.000017189377,0.0006127749,0.00010370426,0.000092870534],"category_scores_gemma":[0.0094655715,0.000052954954,0.00040585408,0.00069740944,0.001289973,0.000059066206,0.00013590237,0.0004559419,0.0000010823159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001429111,0.0003129545,0.0048410706,0.00007185673,0.00005619052,6.242986e-7,0.00013289036,0.00025692245,0.0002620736,0.99182713,0.000374804,0.0017205855],"study_design_scores_gemma":[0.0003651233,0.00014293022,0.008691796,0.00007648818,0.00011315718,0.000005489964,0.000103125574,0.0015302127,0.0034419666,0.9849311,0.0005346206,0.00006397968],"about_ca_topic_score_codex":0.0000054930197,"about_ca_topic_score_gemma":0.000024997933,"teacher_disagreement_score":0.0458872,"about_ca_system_score_codex":0.000055751527,"about_ca_system_score_gemma":0.00006537721,"threshold_uncertainty_score":0.9988781},"labels":[],"label_agreement":null},{"id":"W2037682640","doi":"10.1007/s00526-009-0276-8","title":"An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics","year":2009,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Isoperimetric inequality; Mathematics; Conformal map; Scalar curvature; Upper and lower bounds; Curvature; Infinity; Euclidean geometry; Mathematical analysis; Combinatorics; Pure mathematics; Geometry","score_opus":0.03829068104349716,"score_gpt":0.30405484198689464,"score_spread":0.2657641609433975,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037682640","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5880241,0.00066869846,0.40975246,0.000357537,0.00026767814,0.00050733326,0.00026712386,0.00001866787,0.0001364068],"genre_scores_gemma":[0.9984895,0.00001003301,0.0010434971,0.00003580785,0.00011064738,0.0000151377035,0.00007617993,0.000010406148,0.00020882026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986066,0.000078778554,0.00055697595,0.0002175429,0.000334949,0.00020511725],"domain_scores_gemma":[0.9983247,0.00056853454,0.0003231645,0.00025552383,0.00041854425,0.000109542096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026538345,0.0001713564,0.0003726827,0.00032296948,0.00034402232,0.00007318786,0.00013981793,0.00016260889,0.00012542645],"category_scores_gemma":[0.0008399415,0.000121219266,0.0001900733,0.0011325309,0.00006044928,0.000209789,0.000045015513,0.00013321349,6.5179137e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029221572,0.00041499035,0.000076813594,0.000031607055,0.000126135,8.365808e-8,0.00019727623,0.00021572773,0.0064438134,0.9905532,0.00009869933,0.0018124547],"study_design_scores_gemma":[0.002584623,0.0008829941,0.115196005,0.000058387912,0.0022176253,0.000007511266,0.0001398186,0.8601356,0.004803193,0.013062619,0.00036832283,0.00054328947],"about_ca_topic_score_codex":0.000026904101,"about_ca_topic_score_gemma":0.000007795066,"teacher_disagreement_score":0.97749054,"about_ca_system_score_codex":0.000014373382,"about_ca_system_score_gemma":0.00006796315,"threshold_uncertainty_score":0.49431783},"labels":[],"label_agreement":null},{"id":"W2037694138","doi":"10.4153/cmb-2011-077-8","title":"The Secondary Chern–Euler Class for a General Submanifold","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Submanifold; Mathematics; Class (philosophy); Pure mathematics; Chern class; Gravitational singularity; Manifold (fluid mechanics); Euler's formula; Mathematical analysis","score_opus":0.05141421510534905,"score_gpt":0.24971488927572788,"score_spread":0.19830067417037883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037694138","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20406581,0.001130945,0.033074412,0.020269329,0.0010067493,0.0030981088,0.00021402776,0.0003226776,0.73681796],"genre_scores_gemma":[0.82013243,0.00003387308,0.06513104,0.0034543825,0.0009154848,0.00072346453,0.000033930082,0.00023124265,0.10934413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99810255,0.00006364315,0.0005112955,0.0003109261,0.0002515268,0.00076006376],"domain_scores_gemma":[0.99755913,0.000953079,0.0001271624,0.0006223194,0.0001647856,0.0005735466],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010355029,0.00025348886,0.00039173258,0.00014484805,0.00038968885,0.000122031415,0.00052721787,0.00020065642,0.019152043],"category_scores_gemma":[0.0017257112,0.00016916187,0.00031654024,0.0002898406,0.00011789243,0.000031372863,0.000040767063,0.00028467065,0.002754897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010938037,0.000052881034,0.000022763408,0.00007628445,0.00012167823,0.0000133739595,0.00033348645,7.79201e-8,0.000007632732,0.7366126,0.26036713,0.002381182],"study_design_scores_gemma":[0.00028389393,0.000045949982,0.00020351095,0.000019901034,0.00011539165,0.00001655783,0.0003011849,0.00032666168,0.00005857007,0.3962284,0.60215324,0.00024672903],"about_ca_topic_score_codex":0.00059848663,"about_ca_topic_score_gemma":0.0050235097,"teacher_disagreement_score":0.62747383,"about_ca_system_score_codex":0.00012267006,"about_ca_system_score_gemma":0.00020945129,"threshold_uncertainty_score":0.9980216},"labels":[],"label_agreement":null},{"id":"W2038018000","doi":"10.1016/j.jfa.2013.12.026","title":"Chaotic dynamics of the heat semigroup on Riemannian symmetric spaces","year":2014,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Chaotic; Semigroup; Pure mathematics; Perturbation (astronomy); Operator (biology); Subspace topology; Mathematical analysis; Riemannian manifold; Physics","score_opus":0.01682252064931759,"score_gpt":0.23640152728593697,"score_spread":0.2195790066366194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038018000","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9059387,0.00028139554,0.08557218,0.0035472019,0.00054928433,0.00007832896,0.000013711017,0.000010895763,0.0040083257],"genre_scores_gemma":[0.9971414,0.000018881281,0.00069819216,0.00015673766,0.00031459276,9.2950864e-7,0.0000053232047,0.00001130723,0.0016526317],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99745864,0.00018277286,0.0007990111,0.00015805931,0.0012292268,0.00017227724],"domain_scores_gemma":[0.9970969,0.00092527183,0.0008844171,0.00037815928,0.000614307,0.00010094097],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014156551,0.00017533223,0.00074821134,0.0016691517,0.00012912038,0.0000446933,0.00032854534,0.0000977071,0.00033763857],"category_scores_gemma":[0.0014407636,0.00009834668,0.0015006668,0.0067292606,0.000058237598,0.00010530284,0.00004302082,0.00034922667,0.000008092697],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041573212,0.0026258982,0.24551228,0.00025909083,0.032280266,0.000013994613,0.00046298828,0.33572817,0.0003715274,0.35243055,0.022819625,0.007079885],"study_design_scores_gemma":[0.002016381,0.0012351694,0.4583516,0.00021679242,0.035762925,0.00011470481,0.0016619533,0.3957567,0.0002966579,0.09620032,0.0076182876,0.00076850515],"about_ca_topic_score_codex":0.000027417504,"about_ca_topic_score_gemma":0.00010688108,"teacher_disagreement_score":0.25623024,"about_ca_system_score_codex":0.000123386,"about_ca_system_score_gemma":0.000043066266,"threshold_uncertainty_score":0.40104613},"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,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Homogeneous; Einstein; Pure mathematics; Mathematical analysis; Mathematical physics; Combinatorics","score_opus":0.035661483395011864,"score_gpt":0.24751149765233607,"score_spread":0.2118500142573242,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039708216","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03314321,0.0015332188,0.96210736,0.00026668247,0.00009543833,0.00021088507,0.000099490964,0.00008077248,0.002462931],"genre_scores_gemma":[0.9610144,0.00004393439,0.03505118,0.00011950197,0.00034473292,0.000042369964,0.00043317676,0.000021908121,0.0029288244],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980631,0.00002505287,0.00044872882,0.0005389897,0.0006064777,0.0003176919],"domain_scores_gemma":[0.9987386,0.00042139564,0.0001589276,0.00025023895,0.00027040803,0.00016043837],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066717993,0.00025292483,0.000581445,0.0033328943,0.00027026015,0.00015340344,0.000115011455,0.00015177319,0.00026726004],"category_scores_gemma":[0.00033344617,0.00020001292,0.00073649967,0.01161263,0.000044050514,0.00009779256,0.000037524904,0.000145271,0.000023058037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002720618,0.0025430706,0.019578757,0.00047970813,0.038089626,0.000023104147,0.00028912377,0.21420969,0.00009747171,0.69931,0.012033538,0.013073839],"study_design_scores_gemma":[0.0065412144,0.00082232186,0.17246975,0.000033414548,0.05264543,0.00022816948,0.001224128,0.20545723,0.00010382879,0.53497267,0.022946442,0.0025554148],"about_ca_topic_score_codex":0.0001097929,"about_ca_topic_score_gemma":0.000024067833,"teacher_disagreement_score":0.92787117,"about_ca_system_score_codex":0.00011159858,"about_ca_system_score_gemma":0.0000637852,"threshold_uncertainty_score":0.815629},"labels":[],"label_agreement":null},{"id":"W2040913580","doi":"10.1007/s00526-014-0715-z","title":"On the local geometry of maps with c-convex potentials","year":2014,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Convexity; Mathematics; Bounded function; Regular polygon; Measure (data warehouse); Function (biology); Logarithmically convex function; Combinatorics; Convex geometry; Convex function; Geometry; Mathematical analysis; Convex analysis; Convex optimization; Computer science","score_opus":0.02471541488857682,"score_gpt":0.2549918982141708,"score_spread":0.23027648332559397,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040913580","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07247613,0.000022272738,0.9261874,0.00040071152,0.00007673595,0.00018237939,0.000045324854,0.00001344926,0.0005956188],"genre_scores_gemma":[0.9992858,0.000004731672,0.00039445475,0.000035584333,0.000068831134,0.000025132238,0.000037383852,0.000012148526,0.00013591207],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986592,0.00016148786,0.0004610769,0.00018472239,0.00036932097,0.00016420404],"domain_scores_gemma":[0.9975389,0.0014791032,0.00031727925,0.0003663182,0.00022729814,0.00007108547],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038072083,0.0001438546,0.0003601847,0.0002039551,0.00019467587,0.00003685993,0.00014617239,0.00008893993,0.0005064644],"category_scores_gemma":[0.00092219317,0.00008659495,0.0001333642,0.0006281881,0.00016948783,0.00006118045,0.000041073163,0.00012204928,0.0000052994665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021837524,0.00022814865,0.00003566141,0.000025471532,0.0001709968,1.1018983e-7,0.00015055845,0.00036269796,0.0004783758,0.99665177,0.00024778806,0.0016265697],"study_design_scores_gemma":[0.0026104797,0.0011296257,0.0076145763,0.00019848165,0.002520164,0.0000039555975,0.0006745582,0.86204594,0.008054203,0.11348374,0.0010058989,0.00065839075],"about_ca_topic_score_codex":0.00006569256,"about_ca_topic_score_gemma":0.000033735523,"teacher_disagreement_score":0.92680967,"about_ca_system_score_codex":0.000009223956,"about_ca_system_score_gemma":0.00003453528,"threshold_uncertainty_score":0.55454296},"labels":[],"label_agreement":null},{"id":"W2041129188","doi":"10.1137/120875065","title":"Convergent Filtered Schemes for the Monge--Ampère Partial Differential Equation","year":2013,"lang":"en","type":"article","venue":"SIAM Journal on Numerical Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":82,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Monotone polygon; Partial differential equation; Elliptic partial differential equation; Viscosity solution; Gravitational singularity; Mathematical analysis; Convergence (economics); Monge–Ampère equation; Nonlinear system; Applied mathematics; Geometry","score_opus":0.054417420835815446,"score_gpt":0.2999885897885911,"score_spread":0.24557116895277567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041129188","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11233986,0.00020153787,0.883224,0.0035006758,0.00029141468,0.0003048276,0.000010032841,0.000030670028,0.00009695761],"genre_scores_gemma":[0.9952759,0.00007025438,0.002693313,0.0002785414,0.0006748176,0.000085959335,0.000023455686,0.000022215121,0.0008755182],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9975634,0.00016623644,0.00076271535,0.00029821575,0.00078783603,0.00042157766],"domain_scores_gemma":[0.9973783,0.001039996,0.00054005504,0.00040894898,0.00038865735,0.00024405684],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00045519503,0.000265951,0.00067970436,0.00039390897,0.0004543659,0.00034769534,0.0004006874,0.00011264441,0.007689659],"category_scores_gemma":[0.0008352861,0.00014534031,0.0014960193,0.0018244744,0.000047340876,0.00017501727,0.000048570782,0.00039279234,0.00013228533],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013481462,0.0076820776,0.045096416,0.00024904948,0.11965516,0.000051910196,0.0024571277,0.02669879,0.0023558754,0.10474113,0.2747579,0.4149064],"study_design_scores_gemma":[0.0015412198,0.00045959465,0.008239742,0.000024223762,0.012308003,0.000010395251,0.00062441453,0.90810794,0.0005452265,0.039360605,0.028138924,0.0006397025],"about_ca_topic_score_codex":0.000033236407,"about_ca_topic_score_gemma":0.000004926922,"teacher_disagreement_score":0.88293606,"about_ca_system_score_codex":0.000070416965,"about_ca_system_score_gemma":0.000028030106,"threshold_uncertainty_score":0.99321747},"labels":[],"label_agreement":null},{"id":"W2041338324","doi":"10.1016/j.crma.2008.05.015","title":"Gagliardo–Nirenberg inequalities involving the gradient <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> -norm","year":2008,"lang":"lv","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Nirenberg and Matthaei experiment; Mathematics; Dimension (graph theory); Combinatorics; Mathematical analysis; Calculus (dental)","score_opus":0.031711967312387956,"score_gpt":0.24820443062531228,"score_spread":0.21649246331292432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041338324","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95415795,0.0067715966,0.0017203827,0.0010766278,0.0021221184,0.00020852919,0.00042646792,0.0004383221,0.033078],"genre_scores_gemma":[0.9846354,0.0047641024,0.0040284917,0.0011429408,0.0017677998,0.0007224748,0.0007184568,0.00053809554,0.0016822029],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.98977375,0.0007636233,0.0028353913,0.001662689,0.0026999,0.0022646508],"domain_scores_gemma":[0.9900107,0.003094852,0.0025402978,0.0031260215,0.0004107585,0.0008173947],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0025615888,0.0013899403,0.0011140823,0.00070338574,0.0024402621,0.001353765,0.0021550686,0.0019423811,0.00632437],"category_scores_gemma":[0.0027495665,0.0015998583,0.002234125,0.001967775,0.001176286,0.0010813632,0.0018985082,0.00255982,0.0033639087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019217425,0.0005913023,0.000064931046,0.0014825604,0.0017271005,0.00077577174,0.009062625,0.0006574389,0.00030103006,0.8755954,0.10895943,0.0005902176],"study_design_scores_gemma":[0.0037730036,0.0020741106,0.0005789903,0.00374906,0.004340866,0.00425507,0.017054677,0.8336614,0.049259458,0.011403438,0.065389656,0.004460305],"about_ca_topic_score_codex":0.0012227141,"about_ca_topic_score_gemma":0.00065977476,"teacher_disagreement_score":0.864192,"about_ca_system_score_codex":0.00009697078,"about_ca_system_score_gemma":0.0010392182,"threshold_uncertainty_score":0.9998851},"labels":[],"label_agreement":null},{"id":"W2041867826","doi":"10.1016/j.aim.2010.11.007","title":"The first Steklov eigenvalue, conformal geometry, and minimal surfaces","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":236,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Conformal map; Minimal surface; Mathematical analysis; Boundary (topology); Ball (mathematics); Second fundamental form; Submanifold; Isoperimetric inequality; Unit sphere; Conformal geometry; Eigenfunction; Geometry; Eigenvalues and eigenvectors; Mean curvature; Curvature; Conformal symmetry; Physics","score_opus":0.013541718746871411,"score_gpt":0.28671819632074486,"score_spread":0.2731764775738734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041867826","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97805107,0.003914911,0.0015751435,0.00037792374,0.0004607374,0.00039145295,0.000010768511,0.000064735264,0.015153283],"genre_scores_gemma":[0.9421096,0.001941003,0.054207984,0.00006857097,0.00012364914,0.000039871604,0.000002828815,0.000040002018,0.0014665192],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982563,0.00002273021,0.00061805535,0.0002305485,0.00046134848,0.00041097493],"domain_scores_gemma":[0.996951,0.0020682006,0.00029394843,0.0005149994,0.00009226319,0.00007962381],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001456089,0.00023624803,0.00040290898,0.0001614535,0.000295232,0.00017097137,0.0004582862,0.00013034506,0.000113749855],"category_scores_gemma":[0.0014488265,0.00014950636,0.000087562,0.0007018448,0.00024764365,0.00039470583,0.00014933276,0.0004355109,0.000026334441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048926955,0.00072531606,0.034503285,0.0012165549,0.00020727141,0.000025594873,0.004171221,0.00013499057,0.00017868247,0.8968917,0.00234296,0.05955348],"study_design_scores_gemma":[0.0013074495,0.00015669219,0.008786743,0.00015375263,0.00019425103,0.00008821553,0.006634907,0.019547082,0.00043922622,0.65011865,0.31166515,0.0009078591],"about_ca_topic_score_codex":0.000005519031,"about_ca_topic_score_gemma":0.00086619763,"teacher_disagreement_score":0.30932218,"about_ca_system_score_codex":0.000014232276,"about_ca_system_score_gemma":0.000023683899,"threshold_uncertainty_score":0.6096692},"labels":[],"label_agreement":null},{"id":"W2042119145","doi":"10.1090/s0002-9947-2014-05990-4","title":"Minimal immersions of compact bordered Riemann surfaces with free boundary","year":2014,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Boundary (topology); Riemann surface; Pure mathematics; Riemann–Hurwitz formula; Mathematical analysis; Geometry; Geometric function theory","score_opus":0.014248328176976213,"score_gpt":0.2573543507070375,"score_spread":0.24310602253006128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042119145","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66665196,0.0002589047,0.32567304,0.00332032,0.00009262972,0.0005942231,0.0002844424,0.00005290169,0.0030715545],"genre_scores_gemma":[0.95166224,0.00009424943,0.04706859,0.000108888155,0.000037394373,0.000008756092,0.0000040453933,0.00006164763,0.0009541611],"study_design_codex":"not_applicable","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9963614,0.00033269188,0.0011725465,0.00041747364,0.0011641843,0.00055170106],"domain_scores_gemma":[0.9940315,0.0020650506,0.0015019291,0.001831304,0.00035735138,0.00021287192],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0009744223,0.0004907655,0.0018073863,0.00009432661,0.0004664065,0.000059368074,0.0011993162,0.00015849821,0.00087295705],"category_scores_gemma":[0.00034488633,0.00030681136,0.0018354916,0.0025256856,0.0030113496,0.00015107622,0.000059799633,0.00065245194,0.000021056938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.005447048,0.09491753,0.025026252,0.053665277,0.111381136,0.000013786299,0.17666973,0.046479672,0.050050523,0.18153042,0.20766947,0.047149155],"study_design_scores_gemma":[0.016687334,0.012312393,0.062152263,0.007058323,0.051305555,0.00021009217,0.20617184,0.3265555,0.024688914,0.27191448,0.014122775,0.006820511],"about_ca_topic_score_codex":0.0003838976,"about_ca_topic_score_gemma":0.000050227856,"teacher_disagreement_score":0.28501028,"about_ca_system_score_codex":0.00007381771,"about_ca_system_score_gemma":0.00019016057,"threshold_uncertainty_score":0.9999384},"labels":[],"label_agreement":null},{"id":"W2042229193","doi":"10.1016/j.geomphys.2006.04.001","title":"On scalar curvature in lightlike geometry","year":2006,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Scalar curvature; Riemann curvature tensor; Curvature; General relativity; Spacetime; Mathematics; Scalar (mathematics); Mathematical physics; Constant curvature; Pure mathematics; Ricci curvature; Mathematical analysis; Physics; Geometry; Quantum mechanics","score_opus":0.01237678423150405,"score_gpt":0.25735100453571846,"score_spread":0.24497422030421442,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042229193","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99150723,0.0014613335,0.0042188806,0.000263425,0.00023789889,0.00006609319,0.000007090004,0.0000099342715,0.0022280966],"genre_scores_gemma":[0.99628115,0.000090442256,0.002160147,0.00015357907,0.0007958302,8.846305e-7,0.0000035742116,0.000020950163,0.0004934471],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998264,0.0000731938,0.00064327614,0.00017676728,0.00056816766,0.00027456836],"domain_scores_gemma":[0.9983691,0.00059406477,0.00052907976,0.0002220416,0.00018694658,0.00009876381],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008266686,0.00022051262,0.00061592413,0.0005471545,0.0000721428,0.000078846824,0.0002054259,0.00017719086,0.00007271589],"category_scores_gemma":[0.00031006383,0.0001634641,0.000255832,0.0026214696,0.000042446616,0.00026685462,0.00003954934,0.00073631055,0.000007759598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006723828,0.007555963,0.21477662,0.000822859,0.0011869279,0.0006563097,0.00073038525,0.0030470805,0.0019072869,0.5643152,0.13466018,0.069668785],"study_design_scores_gemma":[0.0024418249,0.0006914396,0.06960618,0.0003742267,0.00036988998,0.00011580658,0.00022876708,0.0004936733,0.0016508183,0.90834284,0.015053543,0.00063101255],"about_ca_topic_score_codex":0.000010656883,"about_ca_topic_score_gemma":0.000007005769,"teacher_disagreement_score":0.3440276,"about_ca_system_score_codex":0.000044954715,"about_ca_system_score_gemma":0.000032331052,"threshold_uncertainty_score":0.66658723},"labels":[],"label_agreement":null},{"id":"W2042314744","doi":"10.1515/crll.2002.077","title":"Generalized isoperimetric inequalities for extrinsic balls in minimal submanifolds","year":2002,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Isoperimetric inequality; Inequality; Mathematics; Pure mathematics; Minimal surface; Combinatorics; Mathematical analysis","score_opus":0.06551533924720551,"score_gpt":0.31810693077519764,"score_spread":0.25259159152799215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042314744","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"review","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.262264,0.7006264,0.02204824,0.005121044,0.003802337,0.0017919594,0.0001747433,0.00011458454,0.0040567205],"genre_scores_gemma":[0.43218216,0.41460687,0.07319178,0.0010511966,0.018052403,0.00013750631,0.00006672556,0.0009617625,0.059749603],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9880242,0.0009963611,0.0054983865,0.0009189665,0.0023070716,0.002255049],"domain_scores_gemma":[0.98961955,0.0025414526,0.004205878,0.0010096345,0.0014373782,0.0011860789],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.006575092,0.0015952294,0.0036814932,0.004948005,0.0013150276,0.0026249671,0.0016267393,0.0009086446,0.004555747],"category_scores_gemma":[0.004264389,0.0012517758,0.0027870066,0.0036736475,0.00019863104,0.001189602,0.0003126745,0.0028581917,0.00040107509],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0028027878,0.020412274,0.00301491,0.010615829,0.029344855,0.010300774,0.045449335,0.0022348328,0.0050989212,0.092345804,0.68404883,0.09433085],"study_design_scores_gemma":[0.029209562,0.0043627955,0.00029572565,0.0069559477,0.01161276,0.006325595,0.012805176,0.031357862,0.002907101,0.13169323,0.75677156,0.005702674],"about_ca_topic_score_codex":0.000033291817,"about_ca_topic_score_gemma":0.00006530019,"teacher_disagreement_score":0.2860195,"about_ca_system_score_codex":0.0008684431,"about_ca_system_score_gemma":0.00026428595,"threshold_uncertainty_score":0.9999851},"labels":[],"label_agreement":null},{"id":"W2042366990","doi":"10.1007/s10455-012-9317-1","title":"Deformations of calibrated subbundles of Euclidean spaces via twisting by special sections","year":2012,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Differential geometry; Moduli space; Holomorphic function; Section (typography); Bundle; Normal bundle; Pure mathematics; Euclidean geometry; Mathematical analysis; Fiber bundle; Geometry; Vector bundle; Computer science","score_opus":0.040529765328762936,"score_gpt":0.3239814716244705,"score_spread":0.28345170629570754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042366990","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9830637,0.0017389809,0.0126113985,0.00014144032,0.00004765146,0.00005940466,0.00027999433,0.000011914569,0.0020454898],"genre_scores_gemma":[0.9985037,0.00012833,0.0010661206,0.000032342305,0.000121005076,0.0000015075611,0.000055146586,0.000005818637,0.00008607387],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.998204,0.00008164823,0.00085856573,0.0001576417,0.00041391095,0.0002842578],"domain_scores_gemma":[0.9981282,0.00020837775,0.0008141638,0.00025190576,0.00045259294,0.00014477201],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000746817,0.00017193983,0.00082136365,0.00047606026,0.000088608664,0.000024206924,0.00014982073,0.0001047693,0.00030484854],"category_scores_gemma":[0.00037837884,0.00013920174,0.00050643715,0.007582855,0.00012604926,0.00030018823,0.00007354353,0.00008461979,0.0000020277987],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020058744,0.0008601759,0.97325695,0.0001679596,0.0046703042,2.7074134e-7,0.00026227173,0.00016051983,0.00034876177,0.010238896,0.0072599533,0.0027538876],"study_design_scores_gemma":[0.0006832113,0.00033335647,0.937635,0.000105086714,0.01197681,0.000011346102,0.0048538013,0.0030569213,0.01602184,0.02162042,0.0028676386,0.0008345381],"about_ca_topic_score_codex":0.00088458176,"about_ca_topic_score_gemma":0.00037661128,"teacher_disagreement_score":0.03562191,"about_ca_system_score_codex":0.000010228804,"about_ca_system_score_gemma":0.000019383724,"threshold_uncertainty_score":0.56764823},"labels":[],"label_agreement":null},{"id":"W2042537709","doi":"10.1007/s10097-003-0051-7","title":"Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem","year":2003,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Upper and lower bounds; Mathematics; Geodesic; Sectional curvature; Contractible space; Combinatorics; Ricci curvature; Curvature; Riemannian manifold; Mathematical analysis; Geometry; Scalar curvature","score_opus":0.04509562468136268,"score_gpt":0.28199871633552237,"score_spread":0.23690309165415968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042537709","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93686306,0.00043641528,0.0142235225,0.001891961,0.00013395582,0.0002885782,0.0000054118123,0.000014103162,0.046143],"genre_scores_gemma":[0.98597735,0.000056562872,0.012985563,0.00031321845,0.000073181196,9.1963585e-7,1.251576e-7,0.000035037836,0.0005580177],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971646,0.0010050178,0.0007829906,0.00013779341,0.00068711623,0.0002224802],"domain_scores_gemma":[0.99580383,0.002657002,0.0007826593,0.00043843625,0.00023066683,0.00008742303],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0062300935,0.00020775611,0.00050894334,0.00004184734,0.00021434319,0.00008070985,0.00048872,0.00005904272,0.00017237551],"category_scores_gemma":[0.0042556706,0.000088682595,0.00081943505,0.0004909112,0.00033007926,0.00008113147,0.00008425225,0.00058770383,0.000014514224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001476063,0.00047794142,0.00036858104,0.00008982241,0.0006896979,0.0000041391013,0.0045800214,0.000016171482,0.0004866548,0.98194224,0.010957854,0.00037214716],"study_design_scores_gemma":[0.0010366713,0.00045673866,0.0042898376,0.00055288506,0.0010996336,0.00014572027,0.011964096,0.001145345,0.0009068532,0.9745837,0.0034800011,0.0003385489],"about_ca_topic_score_codex":3.6400138e-7,"about_ca_topic_score_gemma":3.218128e-7,"teacher_disagreement_score":0.04911432,"about_ca_system_score_codex":0.00003365379,"about_ca_system_score_gemma":0.000039724517,"threshold_uncertainty_score":0.5094742},"labels":[],"label_agreement":null},{"id":"W2043081677","doi":"10.1007/s00209-008-0326-5","title":"Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps","year":2008,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Harnack's inequality; Harnack's principle; Heat kernel; Mathematics; Random walk; Kernel (algebra); Range (aeronautics); Inequality; Mathematical analysis; Diffusion; Pure mathematics; Statistics; Thermodynamics; Physics","score_opus":0.047901519063253586,"score_gpt":0.2935470339716532,"score_spread":0.24564551490839964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2043081677","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7587662,0.0035145807,0.23153377,0.00040241957,0.00008095245,0.0014766688,0.000056038218,0.00028258644,0.0038868159],"genre_scores_gemma":[0.9301653,0.00016631598,0.06787336,0.0001309426,0.0001548732,0.0002806052,0.00003312513,0.00009679636,0.0010987048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99745846,0.000094144416,0.0007291232,0.0005854823,0.00054648425,0.0005862792],"domain_scores_gemma":[0.9970354,0.0015327715,0.0002658986,0.00068300136,0.0002469119,0.00023601341],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010969405,0.00050081854,0.0012383782,0.0002320163,0.00041016194,0.000116324896,0.00028795778,0.00022095905,0.00018831277],"category_scores_gemma":[0.0011601307,0.00034083577,0.0002544071,0.00061782106,0.00018092779,0.0003318828,0.000096894204,0.00028785123,0.000047668374],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0036636728,0.0052255406,0.38876984,0.012806475,0.0074156583,0.00053901906,0.02675083,0.0003436186,0.0017778502,0.45005772,0.093099415,0.009550373],"study_design_scores_gemma":[0.14271723,0.004189128,0.3944271,0.0054438724,0.01636204,0.0074042543,0.0050355904,0.103020765,0.02025647,0.16692407,0.11809266,0.016126813],"about_ca_topic_score_codex":0.000063064035,"about_ca_topic_score_gemma":0.00006444091,"teacher_disagreement_score":0.28313363,"about_ca_system_score_codex":0.0000064379115,"about_ca_system_score_gemma":0.000054268803,"threshold_uncertainty_score":0.9999044},"labels":[],"label_agreement":null},{"id":"W2044770662","doi":"10.1063/1.4732118","title":"The Ricci flow of asymptotically hyperbolic mass and applications","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Ricci flow; Hyperbolic space; Ricci curvature; Hyperbolic manifold; Scalar curvature; Stability theory; Yamabe flow; Ultraparallel theorem; Conjecture","score_opus":0.025402963408085996,"score_gpt":0.2832209940364623,"score_spread":0.25781803062837627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044770662","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05707169,0.0014661009,0.932924,0.0005732977,0.00010132578,0.00027026678,0.000004000884,0.000014207824,0.007575114],"genre_scores_gemma":[0.9212308,0.00013062647,0.07763761,0.00004156845,0.0007554059,0.000008561553,3.9501379e-7,0.000023242887,0.00017180652],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842095,0.000064090076,0.0007037713,0.000064904096,0.00051402237,0.00023225005],"domain_scores_gemma":[0.9968982,0.001826228,0.0005365174,0.00027758087,0.0002958076,0.00016569282],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011949606,0.00012773913,0.00046125273,0.00005037745,0.00009808601,0.00003809544,0.0002417161,0.000067642635,0.00003187503],"category_scores_gemma":[0.0007633528,0.00007058787,0.00022811633,0.00039924894,0.00012790822,0.00015814984,0.00004705548,0.0002637551,0.000015874793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014648529,0.00073811295,0.00040268138,0.00022129023,0.00033495203,6.946972e-7,0.00046856265,0.000019618647,0.000581793,0.974529,0.0015082362,0.021180406],"study_design_scores_gemma":[0.00025503675,0.000061667066,0.00040831068,0.00005091867,0.00043406597,0.000039556147,0.00037303648,0.0012879991,0.0004097777,0.99369425,0.0028766417,0.00010873057],"about_ca_topic_score_codex":1.425232e-7,"about_ca_topic_score_gemma":7.713323e-8,"teacher_disagreement_score":0.8641591,"about_ca_system_score_codex":0.00001796709,"about_ca_system_score_gemma":0.00002820626,"threshold_uncertainty_score":0.28784898},"labels":[],"label_agreement":null},{"id":"W2044799257","doi":"10.1016/j.aim.2009.03.005","title":"The quermassintegral inequalities for k-convex starshaped domains","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":199,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Isoperimetric inequality; Regular polygon; Principal curvature; Pure mathematics; Curvature; Differential geometry; Flow (mathematics); Mathematical analysis; Geometry; Mean curvature","score_opus":0.03232911178013159,"score_gpt":0.34549703804946247,"score_spread":0.3131679262693309,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044799257","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16029033,0.017726533,0.7591812,0.0046473807,0.0010723267,0.0032112307,0.00007563083,0.0004706303,0.05332475],"genre_scores_gemma":[0.75447184,0.001395063,0.2387563,0.00037286422,0.00025764658,0.00016761183,0.000015055378,0.000051036965,0.004512588],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982508,0.00005800345,0.000709584,0.00020646596,0.00034931907,0.0004258576],"domain_scores_gemma":[0.99651223,0.0025358666,0.00029924265,0.0004730678,0.00012711996,0.00005246178],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012189179,0.00022645968,0.0004739649,0.00013371232,0.00020897729,0.00010380559,0.0004057755,0.00008885579,0.000033113138],"category_scores_gemma":[0.0018333966,0.00013871862,0.00020065541,0.000534712,0.00008723567,0.0003040344,0.000027077835,0.00019460863,0.00000799691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018665432,0.00018249507,0.000073357034,0.00012581961,0.000027793963,0.0000021872697,0.0012321013,0.000027873028,0.000023380055,0.9775024,0.0008259773,0.01995796],"study_design_scores_gemma":[0.0004374945,0.00007998705,0.00008505192,0.000074018615,0.00004684299,0.0000034218378,0.004038727,0.0038055903,0.000077595425,0.9613138,0.029842123,0.00019537177],"about_ca_topic_score_codex":0.000001615273,"about_ca_topic_score_gemma":0.00009568764,"teacher_disagreement_score":0.59418154,"about_ca_system_score_codex":0.00006154327,"about_ca_system_score_gemma":0.000030581406,"threshold_uncertainty_score":0.5656781},"labels":[],"label_agreement":null},{"id":"W2044968419","doi":"10.1007/bf02921808","title":"The initial value problem for cohomogeneity one Einstein metrics","year":2000,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":90,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Ode; Einstein; Mathematics; Singularity; Mathematical analysis; Manifold (fluid mechanics); Pure mathematics; Gravitational singularity; Invariant (physics); Mathematical physics","score_opus":0.049500617267183133,"score_gpt":0.32097578654982156,"score_spread":0.27147516928263843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044968419","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5026356,0.0102749765,0.4770148,0.0015019792,0.00032310307,0.0007436783,0.00006509268,0.00005270266,0.0073880325],"genre_scores_gemma":[0.9551444,0.0016316018,0.038374417,0.0001217215,0.0006449677,0.000016822032,0.000011726476,0.00003842753,0.0040159253],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99528563,0.00025717076,0.0018973597,0.0003058533,0.0016839163,0.0005700442],"domain_scores_gemma":[0.99203795,0.0040501812,0.0015744405,0.0006061536,0.0014502759,0.0002810093],"candidate_categories":["bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.0061747087,0.00030825043,0.0013940894,0.0056263586,0.0005346425,0.00029610592,0.00092526467,0.00021232241,0.00081976113],"category_scores_gemma":[0.004571474,0.00019696503,0.0023613637,0.039659545,0.000091832015,0.000286549,0.000052796942,0.00047757165,0.00002092645],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008785222,0.0032946188,0.024194928,0.0002186152,0.07047815,0.00006761152,0.00040488745,0.012157261,0.00006130669,0.018083677,0.034595802,0.8355646],"study_design_scores_gemma":[0.012131424,0.0047092633,0.03740477,0.00017428737,0.18627854,0.00025538297,0.0020676577,0.051098425,0.0020249828,0.17377743,0.5267831,0.0032947117],"about_ca_topic_score_codex":0.000059714017,"about_ca_topic_score_gemma":0.00007084593,"teacher_disagreement_score":0.8322699,"about_ca_system_score_codex":0.00019221778,"about_ca_system_score_gemma":0.00015472271,"threshold_uncertainty_score":0.98075294},"labels":[],"label_agreement":null},{"id":"W2045451714","doi":"10.2140/memocs.2013.1.33","title":"Contraction of the proximal map and generalized convexity of the Moreau–Yosida regularization in the 2-Wasserstein metric","year":2013,"lang":"en","type":"preprint","venue":"Mathematics and Mechanics of Complex Systems","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Otto von Guericke University Magdeburg; Universität Duisburg-Essen; University of North Carolina at Chapel Hill; Universität zu Köln; Freie Universität Berlin; Bilkent Üniversitesi; Centre National de la Recherche Scientifique; Akademie Věd České Republiky; Université de Lyon; Universität Wien; McGill University; Indian National Science Academy; Carnegie Mellon University; Universidad Rey Juan Carlos; Louisiana State University; University of Pittsburgh; National Science Foundation; Wayne State University; Vanderbilt University","keywords":"Balanced flow; Mathematics; Regularization (linguistics); Convexity; Tangent; Mathematical analysis; Wasserstein metric; Entropy (arrow of time); Contraction (grammar); Metric space; Geometry; Physics; Computer science","score_opus":0.052235682077564724,"score_gpt":0.2711285353541392,"score_spread":0.21889285327657448,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045451714","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9316002,0.002322397,0.05862361,0.0005598933,0.000715452,0.0054507297,0.00012602856,0.00001869539,0.0005829996],"genre_scores_gemma":[0.99588794,0.000086865555,0.0036353315,0.000013644675,0.000038503065,0.000089896996,0.000010728165,0.000025239155,0.00021185413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99695325,0.00041066337,0.0013702007,0.00026583727,0.00081996666,0.00018005534],"domain_scores_gemma":[0.9952499,0.00058602897,0.0025870125,0.0010943888,0.00044897845,0.000033651526],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002373843,0.00029734016,0.0011664515,0.00025098998,0.00008699389,0.000082458486,0.0006536341,0.00031180162,0.000010994055],"category_scores_gemma":[0.0006043019,0.00014856337,0.0002665585,0.00073186494,0.00009425984,0.00005168387,0.00044859134,0.00037010398,2.2046729e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010883538,0.00033699768,0.00014291849,0.007083809,0.00031970118,2.3679307e-7,0.0019443335,0.00031751438,0.004601271,0.9847517,0.00039586562,0.000094774114],"study_design_scores_gemma":[0.00089288654,0.000070094124,0.00071083865,0.001341248,0.0009331518,0.000018729641,0.0034569683,0.39938554,0.0021551847,0.59060705,0.00014704338,0.00028123686],"about_ca_topic_score_codex":0.00036808915,"about_ca_topic_score_gemma":0.000054046104,"teacher_disagreement_score":0.39906803,"about_ca_system_score_codex":0.00003397156,"about_ca_system_score_gemma":0.000065758984,"threshold_uncertainty_score":0.6058238},"labels":[],"label_agreement":null},{"id":"W2045615215","doi":"10.4153/cmb-2008-036-7","title":"Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Jacobi operator; Operator (biology); Pure mathematics; Homogeneous; Mathematical analysis; Complex projective space; Space (punctuation); Flow (mathematics); Projective space; Projective test; Geometry; Combinatorics; Jacobi polynomials; Orthogonal polynomials","score_opus":0.0274635690233751,"score_gpt":0.23590150490721784,"score_spread":0.20843793588384274,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045615215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9477875,0.00010066774,0.0005179911,0.0031614162,0.000029726056,0.00056234334,0.000083128056,0.00007156568,0.04768562],"genre_scores_gemma":[0.95453376,0.000030787876,0.042303246,0.00033173652,0.00006118731,0.000023733166,0.000037705966,0.00006734985,0.0026104813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9974174,0.00008664113,0.0005752603,0.00048958766,0.00058575,0.0008453894],"domain_scores_gemma":[0.9979068,0.00042155918,0.0001300912,0.00062019425,0.00015535601,0.0007660028],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00039601547,0.00040666552,0.00084045046,0.0007972955,0.00024526185,0.000089944355,0.00043213647,0.00026735,0.013228899],"category_scores_gemma":[0.00084940647,0.00028854885,0.000136114,0.0021348484,0.0001739363,0.00007473672,0.000045053435,0.0004738203,0.0010577257],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019885892,0.0009763255,0.016397389,0.0013969882,0.00087748875,0.003269294,0.0053647663,0.00090115296,0.00052167434,0.61777323,0.35015118,0.0021716643],"study_design_scores_gemma":[0.016520996,0.0023062208,0.0680184,0.0016780347,0.0015567029,0.0040893313,0.0144327525,0.039209954,0.0011274427,0.2743271,0.56615764,0.0105754165],"about_ca_topic_score_codex":0.0025264292,"about_ca_topic_score_gemma":0.016918909,"teacher_disagreement_score":0.34344614,"about_ca_system_score_codex":0.0003228326,"about_ca_system_score_gemma":0.0003228593,"threshold_uncertainty_score":0.99995667},"labels":[],"label_agreement":null},{"id":"W2046619193","doi":"10.4153/cmb-2004-049-2","title":"Isotropic Immersions with Low Codimension of Complex Space Forms into Real Space Forms","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Codimension; Mathematics; Isotropy; Space (punctuation); Space form; Complex space; Pure mathematics; Mathematical analysis; Geometry; Physics; Optics; Computer science; Submanifold","score_opus":0.01540770675422773,"score_gpt":0.24364749841898722,"score_spread":0.2282397916647595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046619193","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9102129,0.00006494867,0.027872266,0.015469524,0.000047054073,0.0008658996,0.000037928836,0.00008574113,0.045343745],"genre_scores_gemma":[0.9566445,0.00001875957,0.041372158,0.00025393884,0.000035862784,0.000021012838,0.000029832321,0.0000543237,0.0015696194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978208,0.000034948553,0.0005669556,0.00036764878,0.00054240844,0.0006672545],"domain_scores_gemma":[0.9978037,0.00027761664,0.00024828606,0.00068526494,0.00021828804,0.00076683797],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00035246598,0.0003396224,0.0007628755,0.00041066215,0.0002221299,0.0000495218,0.00033140136,0.00020878231,0.0050368547],"category_scores_gemma":[0.00044349657,0.000233844,0.00022049103,0.00082323776,0.00021816963,0.000062647276,0.000062163854,0.00029273698,0.0013007417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003980174,0.00032009766,0.00017777874,0.00060016493,0.00020160488,0.0000859202,0.0011521161,0.000101666315,0.0005640518,0.9785494,0.017921247,0.00028615975],"study_design_scores_gemma":[0.004822499,0.0011715698,0.0019386441,0.0015942169,0.0008490533,0.00018105026,0.0076514995,0.000828699,0.0026579408,0.9281621,0.04840458,0.0017381533],"about_ca_topic_score_codex":0.0045690737,"about_ca_topic_score_gemma":0.0099957585,"teacher_disagreement_score":0.0503873,"about_ca_system_score_codex":0.00034941416,"about_ca_system_score_gemma":0.00031269595,"threshold_uncertainty_score":0.99947685},"labels":[],"label_agreement":null},{"id":"W2047661573","doi":"10.4153/cmb-2000-018-4","title":"Perfect Non-Extremal Riemann Surfaces","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Riemann surface; Pure mathematics; Riemann sphere; Geometric function theory; Type (biology); Surface (topology); Modular group; Mathematical analysis; Geometry","score_opus":0.017358361695060873,"score_gpt":0.24207443551166652,"score_spread":0.22471607381660563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047661573","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65536225,0.00017882348,0.0007557248,0.0046754987,0.00006816195,0.0004083581,0.000026017273,0.000113743794,0.33841142],"genre_scores_gemma":[0.9312087,0.000017364504,0.005693838,0.00070432934,0.00016741679,0.000031906802,0.000012829619,0.00005970466,0.062103868],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99775004,0.00007965847,0.0005227392,0.00042363943,0.00042998223,0.00079393195],"domain_scores_gemma":[0.9978564,0.0004833933,0.00007377388,0.0006330215,0.000090153764,0.0008632507],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007276468,0.0003276262,0.00060637214,0.00025679168,0.00024424723,0.00015717787,0.0004256771,0.00022751455,0.30263355],"category_scores_gemma":[0.0006719899,0.0002725074,0.00028714366,0.00064267474,0.00011331457,0.000053027772,0.000023405479,0.00032982999,0.04628222],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003501612,0.0004914159,0.0005842194,0.0005392701,0.00041771427,0.0004156134,0.0014087709,0.00008459536,0.000057665537,0.1004146,0.87392265,0.021628466],"study_design_scores_gemma":[0.0007964488,0.00013886287,0.0011255087,0.00021298452,0.00035404065,0.00011771334,0.0004992532,0.0034435035,0.000089289795,0.15200137,0.8400974,0.0011236265],"about_ca_topic_score_codex":0.0011172714,"about_ca_topic_score_gemma":0.0020414733,"teacher_disagreement_score":0.27630755,"about_ca_system_score_codex":0.00012809953,"about_ca_system_score_gemma":0.00014822968,"threshold_uncertainty_score":0.9999727},"labels":[],"label_agreement":null},{"id":"W2048699967","doi":"10.1063/1.3599132","title":"Cohomogeneity one Ricci solitons","year":2011,"lang":"en","type":"article","venue":"AIP conference proceedings","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Icon; Citation; Computer science; Information retrieval; World Wide Web; Download; Publishing; Filter (signal processing); Art; Programming language; Literature","score_opus":0.12814768931201423,"score_gpt":0.28659340613739265,"score_spread":0.15844571682537842,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048699967","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7283883,0.00010150816,0.021091186,0.00030244002,0.00014375693,0.00034028795,0.000007533603,0.00030551778,0.24931943],"genre_scores_gemma":[0.9847509,0.00003511371,0.013171271,0.00012720218,0.000105228544,0.000037726913,0.0000027325843,0.000022137156,0.0017476417],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984755,0.000009020511,0.00035063896,0.0003787093,0.00037537896,0.00041073974],"domain_scores_gemma":[0.9987379,0.000053749918,0.0002125441,0.00020579895,0.00061494455,0.0001751097],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004364079,0.00022266812,0.00040209058,0.00019011146,0.00013410179,0.00009622,0.00041878113,0.00015582696,0.0018036073],"category_scores_gemma":[0.0005102573,0.0001917225,0.00013991943,0.0007477105,0.00008302827,0.00028736895,0.00012022427,0.00025545416,0.0001965771],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000458811,0.0009982762,0.16205221,0.00021227208,0.00040474537,0.0000062786016,0.00889097,1.39004595e-8,0.005986157,0.80076176,0.0151626235,0.0054788184],"study_design_scores_gemma":[0.0010485126,0.00043395598,0.09778,0.00018040313,0.00091872585,0.00003584206,0.0045227543,0.0017461495,0.012250828,0.8700546,0.009641602,0.0013866153],"about_ca_topic_score_codex":0.000080059996,"about_ca_topic_score_gemma":0.00002518469,"teacher_disagreement_score":0.25636262,"about_ca_system_score_codex":0.00003465598,"about_ca_system_score_gemma":0.000063278196,"threshold_uncertainty_score":0.99910885},"labels":[],"label_agreement":null},{"id":"W2049916405","doi":"10.7468/jksmeb.2011.18.1.001","title":"ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A QUARTER SYMMETRIC NON-METRIC CONNECTION","year":2011,"lang":"en","type":"article","venue":"The Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Mathematics; Invariant (physics); Metric connection; Pure mathematics; Manifold (fluid mechanics); Quarter (Canadian coin); Metric (unit); Mathematical analysis; Invariant manifold; Geometry; Fundamental theorem of Riemannian geometry; Mathematical physics; Scalar curvature","score_opus":0.021679365448150287,"score_gpt":0.21761569034087924,"score_spread":0.19593632489272894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049916405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8338302,0.00014154104,0.06451687,0.00010486292,0.00006471306,0.0011089442,0.00001343912,0.00010145613,0.100117974],"genre_scores_gemma":[0.9875174,0.00002941724,0.011896868,0.00008317561,0.000056489378,0.000058055102,0.0000031638897,0.000045110468,0.00031029285],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99828494,0.00002961241,0.00053653773,0.00030673723,0.0005152536,0.00032691474],"domain_scores_gemma":[0.9978834,0.00075060787,0.00048064106,0.00067803095,0.000110273766,0.0000970441],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008652274,0.00032694047,0.0006396475,0.0005554812,0.00015472945,0.00006115932,0.00030225713,0.00016296799,0.00013673062],"category_scores_gemma":[0.00012526334,0.00018289017,0.0001267608,0.0022700054,0.00006883381,0.000062413856,0.00006256882,0.0002780996,0.000037562902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000096131465,0.00085404917,0.00006839937,0.00042914166,0.0004005467,0.000006864506,0.0050220555,0.000005740556,0.0003233991,0.99068797,0.001496565,0.0006091481],"study_design_scores_gemma":[0.0027641093,0.0017860524,0.0018719692,0.00033932968,0.0026376804,0.00016472595,0.011088668,0.0037422,0.006861378,0.9675303,0.00014771907,0.0010658631],"about_ca_topic_score_codex":0.000025423658,"about_ca_topic_score_gemma":0.000020296553,"teacher_disagreement_score":0.15368722,"about_ca_system_score_codex":0.000022230239,"about_ca_system_score_gemma":0.000024469768,"threshold_uncertainty_score":0.7458044},"labels":[],"label_agreement":null},{"id":"W2050883265","doi":"10.4310/jsg.2009.v7.n4.a1","title":"A nonholonomic Moser theorem and optimal transport","year":2009,"lang":"en","type":"article","venue":"Journal of Symplectic Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Nonholonomic system; Mathematics; Mathematical economics; Computer science","score_opus":0.017036972843197752,"score_gpt":0.27271413137925354,"score_spread":0.25567715853605577,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050883265","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9863853,0.0008231076,0.010777637,0.00054904376,0.0001229904,0.00006869207,0.0000016819984,0.0000139368685,0.0012576017],"genre_scores_gemma":[0.9904985,0.000108005,0.008729831,0.00019572332,0.00022781293,5.3172306e-7,6.5268006e-7,0.000014639224,0.00022434269],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99846333,0.000045809094,0.0006821992,0.00016156715,0.0003739086,0.00027320074],"domain_scores_gemma":[0.99867696,0.00026739435,0.00048151985,0.00020151593,0.00020129635,0.00017134691],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011583078,0.00018401406,0.0005729304,0.0007596863,0.000081419115,0.000051242507,0.00021733243,0.000118747084,0.00022121369],"category_scores_gemma":[0.00043043698,0.0001366988,0.00027621552,0.0010710967,0.000041102227,0.0002408574,0.000012828697,0.00038704337,0.000006457788],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0028527058,0.008394273,0.2518419,0.0009199222,0.008266292,0.0025353017,0.013464095,0.0028002006,0.019044813,0.37905633,0.04192354,0.26890063],"study_design_scores_gemma":[0.006269791,0.004240612,0.5172621,0.00032171232,0.0030190612,0.0058728233,0.0026436732,0.0009942586,0.0014988288,0.45057303,0.005907735,0.0013963914],"about_ca_topic_score_codex":0.0000018760873,"about_ca_topic_score_gemma":0.0000017047353,"teacher_disagreement_score":0.26750425,"about_ca_system_score_codex":0.00005173353,"about_ca_system_score_gemma":0.0000620695,"threshold_uncertainty_score":0.55744153},"labels":[],"label_agreement":null},{"id":"W2050973602","doi":"10.1070/im2014v078n03abeh002694","title":"Sub-Riemannian geometries on compact homogeneous spaces","year":2014,"lang":"ceb","type":"article","venue":"Izvestiya Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Narodowe Centrum Nauki; Institut Périmètre de physique théorique; Industry Canada; Deutscher Akademischer Austauschdienst; Government of Canada","keywords":"Homogeneous; Mathematics; Geometry; Mathematical analysis; Pure mathematics; Combinatorics","score_opus":0.028074943140633607,"score_gpt":0.26885882627884294,"score_spread":0.24078388313820934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050973602","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8831526,0.0032195747,0.045689218,0.0040243873,0.0021484566,0.0017582871,0.00022854716,0.00074710976,0.05903182],"genre_scores_gemma":[0.9727737,0.00025051422,0.014228173,0.00047918435,0.0010594485,0.000020296351,0.0000568835,0.00029137358,0.010840434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99299544,0.00034352744,0.0019516594,0.001096062,0.0021017902,0.0015115059],"domain_scores_gemma":[0.98978806,0.0047522048,0.0015162748,0.0026579178,0.0005077377,0.0007778048],"candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0028318441,0.0013924596,0.00254623,0.0015531668,0.00063330255,0.0011464683,0.001301416,0.0007402997,0.00084502605],"category_scores_gemma":[0.0077162525,0.0011761633,0.00092948123,0.0035769774,0.000468649,0.00029780646,0.00022986256,0.0010548068,0.0039084647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002028173,0.013570021,0.0026783515,0.010569421,0.005177206,0.0003581681,0.0139995525,0.0045950627,0.0014332774,0.7080495,0.21337618,0.025990456],"study_design_scores_gemma":[0.0055032973,0.0058450447,0.002981852,0.0058155926,0.008800819,0.0006258259,0.0062073506,0.08006701,0.021822836,0.6477272,0.2063168,0.008286362],"about_ca_topic_score_codex":0.000044514803,"about_ca_topic_score_gemma":0.000061486186,"teacher_disagreement_score":0.0896211,"about_ca_system_score_codex":0.00021702093,"about_ca_system_score_gemma":0.00015605432,"threshold_uncertainty_score":0.99989045},"labels":[],"label_agreement":null},{"id":"W2051229458","doi":"10.1016/j.geomphys.2010.05.010","title":"Topological properties of manifolds admitting a <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msup></mml:math>-Riemannian metric","year":2010,"lang":"lv","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Manifold (fluid mechanics); Geodesic; Mathematics; Riemannian manifold; Combinatorics; Cohomology; Topology (electrical circuits); Pure mathematics; Mathematical analysis","score_opus":0.021988043161931994,"score_gpt":0.24932942647829223,"score_spread":0.22734138331636022,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051229458","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87758315,0.0025229116,0.0012749027,0.0005448168,0.0018923841,0.000036767193,0.0001295529,0.000062660045,0.11595288],"genre_scores_gemma":[0.9898274,0.0014113683,0.0037177755,0.00067772064,0.0033693959,0.00012613984,0.00016109747,0.00035393305,0.0003551677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9919272,0.00035231744,0.002328721,0.0010621109,0.0026485177,0.0016811035],"domain_scores_gemma":[0.9918999,0.0017418492,0.0034461406,0.0015645948,0.00038990175,0.0009575959],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.0026720676,0.0007887507,0.00062165194,0.0007993887,0.001170904,0.0011285978,0.0016640546,0.0019799906,0.10309809],"category_scores_gemma":[0.0036278164,0.0011394547,0.0023010906,0.0027467238,0.0010884337,0.0014182583,0.0013130559,0.0025912535,0.00043161312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015893603,0.0012055758,0.00017922792,0.0028221484,0.0040900465,0.0014156454,0.002798239,0.0011926024,0.004066408,0.9078765,0.06729362,0.005470621],"study_design_scores_gemma":[0.0028517507,0.003931405,0.0005791705,0.0017469528,0.0048564076,0.002809206,0.0052678147,0.1102052,0.861369,0.000819566,0.0037478402,0.0018156919],"about_ca_topic_score_codex":0.00047508357,"about_ca_topic_score_gemma":0.00022332571,"teacher_disagreement_score":0.9070569,"about_ca_system_score_codex":0.00001311225,"about_ca_system_score_gemma":0.0009923113,"threshold_uncertainty_score":0.9999083},"labels":[],"label_agreement":null},{"id":"W2051767482","doi":"10.1016/j.topol.2014.06.011","title":"Fundamental domains in the Einstein Universe","year":2014,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Einstein; Disjoint sets; Universe; Mathematics; Construct (python library); Bounded function; Pure mathematics; Conformal map; Theoretical physics; Space (punctuation); Simply connected space; Discrete mathematics; Physics; Mathematical physics; Mathematical analysis; Computer science; Astrophysics","score_opus":0.022596178424866747,"score_gpt":0.28895835878855597,"score_spread":0.2663621803636892,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051767482","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8833674,0.00039927554,0.021713445,0.0057722386,0.00003539432,0.00056883757,0.000008661656,0.000042016705,0.08809271],"genre_scores_gemma":[0.9983084,0.00003699552,0.0004821275,0.00035860864,0.000044413606,0.000053640095,0.0000057925104,0.0000029639439,0.00070703827],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9995699,0.000063831074,0.00010420879,0.00011161044,0.000052224685,0.00009823977],"domain_scores_gemma":[0.9994791,0.0002794592,0.000038506405,0.00017086831,0.000010974493,0.000021098747],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027685944,0.000053204363,0.000095642754,0.000072217226,0.00013067762,0.000010107303,0.00012233661,0.000056883495,0.00013062969],"category_scores_gemma":[0.00003953602,0.000036073372,0.000024495634,0.00031320684,0.000061366496,0.000031619624,0.000031613024,0.000099007266,0.000031802403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000001350951,0.00006218156,0.00028925145,0.0000042715383,0.000007856442,2.6772935e-7,0.00028073016,7.7495287e-7,0.000042431784,0.99606043,0.0007080336,0.0025424475],"study_design_scores_gemma":[0.0007666699,0.00008189942,0.007689867,0.0000052380296,0.00011621434,0.000026977283,0.005138224,0.00075084507,0.00007048063,0.48681992,0.49833718,0.00019647572],"about_ca_topic_score_codex":0.000012481367,"about_ca_topic_score_gemma":0.000113645765,"teacher_disagreement_score":0.5092405,"about_ca_system_score_codex":0.000008005239,"about_ca_system_score_gemma":0.000005650784,"threshold_uncertainty_score":0.14710295},"labels":[],"label_agreement":null},{"id":"W2052291019","doi":"10.1016/j.jde.2011.08.004","title":"Gradient estimates for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant=\"normal\">Δ</mml:mi><mml:mi>F</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>u</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> on manifolds and some Liouville-type theorems","year":2011,"lang":"lv","type":"article","venue":"Journal of Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McGill University","keywords":"Mathematics; Bounded function; Type (biology); Ricci curvature; Curvature; Mathematical analysis; Riemannian manifold; Geometry; Geology","score_opus":0.02716275304285942,"score_gpt":0.25049487470126286,"score_spread":0.22333212165840344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2052291019","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93088925,0.0045073605,0.009404833,0.0013368174,0.007400071,0.0002988749,0.0014959895,0.000535833,0.04413098],"genre_scores_gemma":[0.9793977,0.0034971836,0.0058752643,0.0013477276,0.0047210604,0.0013093326,0.0018467687,0.0016999013,0.0003050272],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9787234,0.0011739125,0.005812025,0.0033831908,0.005932491,0.0049749753],"domain_scores_gemma":[0.9803136,0.0046172417,0.0073096263,0.0037082238,0.001051555,0.0029997483],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0048739193,0.0024765162,0.0014609087,0.0025995525,0.00439532,0.0040339413,0.004629726,0.0048688445,0.08841517],"category_scores_gemma":[0.0055140853,0.0040452685,0.0053130873,0.0034196237,0.0024822042,0.0033208677,0.003024991,0.004385148,0.0024235754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0036988852,0.002209021,0.0000743807,0.0022767645,0.007989975,0.0014487853,0.0048407274,0.003092358,0.0028591505,0.81629735,0.1506852,0.004527366],"study_design_scores_gemma":[0.009024845,0.009359372,0.00031092257,0.0045592627,0.014826891,0.0038226796,0.0074711894,0.046918295,0.7990162,0.09557174,0.0031617782,0.0059568407],"about_ca_topic_score_codex":0.0024715613,"about_ca_topic_score_gemma":0.0025071898,"teacher_disagreement_score":0.796157,"about_ca_system_score_codex":0.000102663515,"about_ca_system_score_gemma":0.0027479324,"threshold_uncertainty_score":0.9987971},"labels":[],"label_agreement":null},{"id":"W2054276509","doi":"10.4310/ajm.2013.v17.n1.a3","title":"Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study","year":2013,"lang":"en","type":"article","venue":"Asian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Ricci flow; Mathematical physics; Mathematical analysis; Ricci curvature; Geometry","score_opus":0.0489750624340642,"score_gpt":0.3064698114224531,"score_spread":0.2574947489883889,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054276509","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94851685,0.00017178041,0.049371652,0.00032102497,0.000078026766,0.00035239474,0.0000010025207,0.000023602437,0.001163661],"genre_scores_gemma":[0.92642593,0.000009287192,0.07320487,0.00003685323,0.00018490755,0.000005723412,5.5915524e-7,0.000032403008,0.00009946271],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973536,0.00018812036,0.0011629957,0.00020099363,0.0007792269,0.00031506713],"domain_scores_gemma":[0.99747944,0.00032570312,0.0009485252,0.00047561893,0.0004373468,0.0003333781],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017020756,0.00025272137,0.0009418149,0.00038687704,0.00013011755,0.00022692046,0.00039899736,0.0000983501,0.000410405],"category_scores_gemma":[0.0009518635,0.0001865796,0.00020862347,0.0006800447,0.00005281319,0.00044615578,0.00008619245,0.00040277807,0.000028054672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017002746,0.09448522,0.40156913,0.0035120272,0.021143109,0.0012106146,0.18510132,0.00032960813,0.0031623205,0.09994359,0.016907847,0.17246519],"study_design_scores_gemma":[0.0045557595,0.004476668,0.09895464,0.00064978714,0.005629551,0.0016505859,0.12764606,0.018698813,0.00032274539,0.7355093,0.0003027742,0.0016033547],"about_ca_topic_score_codex":0.000009876132,"about_ca_topic_score_gemma":0.0000065025215,"teacher_disagreement_score":0.6355657,"about_ca_system_score_codex":0.00004583769,"about_ca_system_score_gemma":0.000051385996,"threshold_uncertainty_score":0.7608495},"labels":[],"label_agreement":null},{"id":"W2054788473","doi":"10.1007/s10440-012-9783-2","title":"One-Dimensional Numerical Algorithms for Gradient Flows in the p-Wasserstein Spaces","year":2012,"lang":"en","type":"article","venue":"Acta Applicandae Mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Partial differential equation; Regular polygon; Applied mathematics; Class (philosophy); Mathematical analysis; Line (geometry); Balanced flow; Convex function; Mathematical optimization; Geometry; Computer science","score_opus":0.06394187156908294,"score_gpt":0.3175526694309575,"score_spread":0.25361079786187457,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054788473","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8912633,0.0005367186,0.09353967,0.0052016815,0.0002260801,0.0033802679,0.00004977612,0.00016205509,0.0056404215],"genre_scores_gemma":[0.92875266,0.0000054495026,0.06951874,0.0003129234,0.00031973908,0.00079498196,0.0000191167,0.000045562556,0.00023084549],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974264,0.00010513777,0.0006307766,0.00034397567,0.0007212001,0.00077252404],"domain_scores_gemma":[0.9966669,0.0021276574,0.00024383917,0.000704277,0.00007554548,0.00018179535],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021639483,0.0003103292,0.0006813409,0.0001905698,0.0001706754,0.00010227742,0.00042508656,0.0001509186,0.0002053793],"category_scores_gemma":[0.00053044077,0.00020312158,0.000312525,0.00096653536,0.00005805674,0.00017414993,0.00009348795,0.00028356022,0.00006779528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015223933,0.009001578,0.0010091935,0.0009592325,0.00086879526,0.000010232568,0.014435747,0.000032832726,0.0019788952,0.89188325,0.06328295,0.016385054],"study_design_scores_gemma":[0.004341037,0.0005241104,0.0039094435,0.0003110684,0.001659185,0.00017875357,0.0091842525,0.03910041,0.0012202755,0.7922094,0.1451333,0.0022288018],"about_ca_topic_score_codex":0.000019634583,"about_ca_topic_score_gemma":0.000017513441,"teacher_disagreement_score":0.09967389,"about_ca_system_score_codex":0.00007050714,"about_ca_system_score_gemma":0.000028283914,"threshold_uncertainty_score":0.8283058},"labels":[],"label_agreement":null},{"id":"W2055135672","doi":"10.1007/s10474-006-0068-y","title":"Generalized Cauchy--Riemann lightlike submanifolds of Kaehler manifolds","year":2006,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Cauchy–Riemann equations; Mathematics; Totally geodesic; Pure mathematics; Class (philosophy); Invariant (physics); Mathematical analysis; Characterization (materials science); Submanifold; Cauchy distribution; Mathematical physics; Physics","score_opus":0.02339198358834909,"score_gpt":0.27705100533975063,"score_spread":0.25365902175140154,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055135672","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.919914,0.00092613907,0.010449482,0.0032283037,0.000787297,0.0012425261,0.00006680965,0.0005044587,0.06288097],"genre_scores_gemma":[0.9509901,0.00004347047,0.028092708,0.00017952234,0.00032973767,0.000063322695,0.000041142026,0.00010745066,0.020152543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99367,0.00021726935,0.0019980392,0.0009887514,0.0019608962,0.0011650529],"domain_scores_gemma":[0.99591166,0.0006622718,0.0012156487,0.0014879234,0.00042097273,0.0003015408],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0026167242,0.0006650255,0.001432828,0.0009623424,0.00037928534,0.0002058164,0.0015350014,0.0007233904,0.0016646207],"category_scores_gemma":[0.0008342071,0.0005367332,0.0007552216,0.0033491042,0.00033359745,0.00056769355,0.0004499408,0.0007533533,0.00020199132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003352517,0.0012836788,0.0014392206,0.0007105454,0.00045833178,0.000023763325,0.0007835944,0.000019412766,0.027186085,0.6634619,0.30427963,0.0003203079],"study_design_scores_gemma":[0.0032611953,0.00026006362,0.007869654,0.00047541977,0.002723605,0.00016335676,0.00082819466,0.0061913445,0.047332168,0.828684,0.099556915,0.0026540966],"about_ca_topic_score_codex":0.00010205778,"about_ca_topic_score_gemma":0.000067296125,"teacher_disagreement_score":0.20472272,"about_ca_system_score_codex":0.0001259533,"about_ca_system_score_gemma":0.00012798984,"threshold_uncertainty_score":0.9997084},"labels":[],"label_agreement":null},{"id":"W2056189707","doi":"10.1016/j.difgeo.2007.11.007","title":"A classification of pseudo-Einstein hypersurfaces in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"bold\">C</mml:mi><mml:msup><mml:mi>P</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>","year":2008,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Hypersurface; Holomorphic function; Mathematics; Geodesic; Einstein; Mean curvature; Pure mathematics; Mathematical analysis; Curvature; Mathematical physics; Geometry","score_opus":0.02583202424011018,"score_gpt":0.25035228434558443,"score_spread":0.22452026010547424,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056189707","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9758051,0.0008251186,0.004437674,0.00034606218,0.00036746278,0.00011562001,0.0003017576,0.00012928281,0.0176719],"genre_scores_gemma":[0.9937194,0.0011676308,0.002298853,0.00017896105,0.0005009244,0.00080659083,0.0008021383,0.00018400732,0.00034148013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9953309,0.00016382974,0.0013225602,0.0010446584,0.0012176366,0.0009203769],"domain_scores_gemma":[0.99607044,0.00082491233,0.0011319405,0.0013887597,0.00017263874,0.00041132295],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00070265,0.00051263964,0.00042323474,0.0006567806,0.00092426594,0.00036953358,0.0009500252,0.0010406194,0.0060471627],"category_scores_gemma":[0.00066388655,0.0007205938,0.0007201404,0.002054917,0.00045814083,0.0005889682,0.0005484398,0.00079303613,0.00053580845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021547408,0.0007390796,0.000074382064,0.00057294406,0.00066470105,0.000050699822,0.00097644015,0.00019531563,0.0067519783,0.9786876,0.009179808,0.0018915988],"study_design_scores_gemma":[0.005973477,0.001719313,0.0049219355,0.0010159678,0.0040605767,0.0009968642,0.00584003,0.48611757,0.4628467,0.0072776503,0.015838135,0.0033917832],"about_ca_topic_score_codex":0.00033427883,"about_ca_topic_score_gemma":0.00021076294,"teacher_disagreement_score":0.9714099,"about_ca_system_score_codex":0.000016253724,"about_ca_system_score_gemma":0.00033596662,"threshold_uncertainty_score":0.99952453},"labels":[],"label_agreement":null},{"id":"W2056722886","doi":"10.4153/cmb-2007-003-7","title":"Invariant Metrics with Nonnegative Curvature on Compact Lie Groups","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Canadian Mathematical Society; National Science Foundation","keywords":"Mathematics; Invariant (physics); Curvature; Lie group; Pure mathematics; Sectional curvature; Scalar curvature; Geometry; Mathematical physics","score_opus":0.02761147199653441,"score_gpt":0.2592607298212247,"score_spread":0.2316492578246903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056722886","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3905845,0.00032805558,0.094266616,0.018213216,0.0002860462,0.0019404658,0.00013364045,0.0003433768,0.49390408],"genre_scores_gemma":[0.98429054,0.000003980239,0.010369627,0.0019005535,0.00021438114,0.0000105251775,0.0000219707,0.00007808752,0.003110307],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99701893,0.00009014,0.0006100377,0.0004949433,0.00079588883,0.000990074],"domain_scores_gemma":[0.99514747,0.0024168515,0.00022583095,0.00071074034,0.00025229063,0.0012468087],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0017396505,0.00044836404,0.0007554192,0.0009996265,0.0002498098,0.00015325524,0.000460943,0.0003221029,0.010986308],"category_scores_gemma":[0.0031550012,0.0003148847,0.00020667653,0.0022714892,0.00014597717,0.00005317579,0.000027947583,0.000776729,0.0043913173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007019583,0.00036192784,0.00029084997,0.00014647319,0.00034113543,0.00051261816,0.0007212505,0.000010767642,0.000010256611,0.8835935,0.11307923,0.0008618129],"study_design_scores_gemma":[0.0034670313,0.0015498345,0.0054144664,0.0010912388,0.0012302992,0.0003567597,0.0049452893,0.00087639753,0.00082228455,0.64488095,0.3323068,0.003058663],"about_ca_topic_score_codex":0.0005091564,"about_ca_topic_score_gemma":0.004970173,"teacher_disagreement_score":0.5937061,"about_ca_system_score_codex":0.0003907392,"about_ca_system_score_gemma":0.00019559455,"threshold_uncertainty_score":0.9999303},"labels":[],"label_agreement":null},{"id":"W2057685760","doi":"10.4153/cmb-2008-045-0","title":"Stability of Biharmonic Legendrian Submanifolds in Sasakian Space Forms","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Biharmonic equation; Mathematics; Harmonic map; Stability (learning theory); Space (punctuation); Pure mathematics; Mathematical analysis; Harmonic; Physics","score_opus":0.04739188741041903,"score_gpt":0.24981995837743806,"score_spread":0.20242807096701904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057685760","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9527101,0.00015195328,0.0010198529,0.0025437116,0.000042280237,0.00042730913,0.000029039826,0.0000352108,0.04304057],"genre_scores_gemma":[0.9946237,0.000017183698,0.003997098,0.00012385315,0.00003478329,0.000026224867,0.0000072716207,0.00003601574,0.0011338408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99762905,0.00009486406,0.00080549554,0.00036133997,0.00042303672,0.0006861914],"domain_scores_gemma":[0.99798095,0.0004497948,0.00017016697,0.0006961887,0.00012112971,0.0005817663],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009161633,0.00026511098,0.0007408303,0.0005184953,0.000099649405,0.000021122489,0.00038192383,0.00022456801,0.018642178],"category_scores_gemma":[0.0014317142,0.00022472581,0.0002508966,0.0010448382,0.00017505328,0.000053159874,0.000044864413,0.00031520953,0.0012237623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043278418,0.0009908907,0.018080927,0.0011296821,0.0002065118,0.0004914041,0.004237566,0.0000073857145,0.00032371073,0.93466234,0.03910957,0.00071672583],"study_design_scores_gemma":[0.0047067567,0.0006059543,0.042607967,0.0008098013,0.00047937984,0.000518956,0.007726172,0.0016068121,0.006821805,0.7815142,0.1493605,0.003241657],"about_ca_topic_score_codex":0.002664697,"about_ca_topic_score_gemma":0.017964859,"teacher_disagreement_score":0.15314811,"about_ca_system_score_codex":0.00027564558,"about_ca_system_score_gemma":0.0003304495,"threshold_uncertainty_score":0.9999547},"labels":[],"label_agreement":null},{"id":"W2057850056","doi":"10.5539/jmr.v7n1p88","title":"Maximum Principle for Totally Umbilical Null Hypersurfaces and Time-dependent Null Horizons","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Null (SQL); Mathematics; Geodesic; General relativity; Mathematical analysis; Spacetime; Curvature; Pure mathematics; Geodesics in general relativity; Mathematical physics; Geometry; Physics","score_opus":0.20236940358278643,"score_gpt":0.4322984790793521,"score_spread":0.22992907549656566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057850056","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.969974,0.0009461256,0.019491604,0.001399948,0.00016319855,0.0007163044,0.000018743014,0.000025960258,0.007264162],"genre_scores_gemma":[0.7248308,0.00019136812,0.26296115,0.000031049804,0.0006568738,0.000037918122,0.0000036617323,0.00011971947,0.01116745],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960447,0.00020923924,0.00093279436,0.00022286418,0.0020701722,0.000520248],"domain_scores_gemma":[0.99420387,0.0024689755,0.00043350222,0.00041190148,0.0019811534,0.0005006232],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.010915488,0.00019689811,0.000726388,0.0005549,0.00015320332,0.00024156403,0.00053876406,0.00018505492,0.00013905676],"category_scores_gemma":[0.008460253,0.00014004088,0.0002394889,0.0005711063,0.00013532568,0.00021225149,0.00023691596,0.00066497916,0.0000637406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0022411076,0.020171791,0.0022287543,0.0069473237,0.005905669,0.000681347,0.02771408,0.00082544406,0.027757639,0.360528,0.51739943,0.027599405],"study_design_scores_gemma":[0.003928234,0.003145347,0.00010519173,0.00032496062,0.0004253095,0.0007724434,0.009347548,0.0148094995,0.0017157666,0.9378543,0.027038941,0.0005324622],"about_ca_topic_score_codex":0.000004673709,"about_ca_topic_score_gemma":0.0000068028185,"teacher_disagreement_score":0.5773263,"about_ca_system_score_codex":0.000153947,"about_ca_system_score_gemma":0.0003119912,"threshold_uncertainty_score":0.99989194},"labels":[],"label_agreement":null},{"id":"W2057987764","doi":"10.1007/s00022-013-0166-2","title":"On curves of constant torsion I","year":2013,"lang":"en","type":"article","venue":"Journal of Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Torsion (gastropod); Constant (computer programming); Regular polygon; Torsion of a curve; Constant curvature; Mathematical analysis; Curvature; Geometry; Pure mathematics; Mean curvature; Center of curvature","score_opus":0.021833569856029602,"score_gpt":0.28048292664613367,"score_spread":0.2586493567901041,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057987764","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9907647,0.0020557714,0.0018618751,0.000424192,0.0002417427,0.000081461374,0.00000259612,0.00000532087,0.004562345],"genre_scores_gemma":[0.99604195,0.00033308667,0.0028298262,0.00018743171,0.00009096606,6.252912e-7,4.959555e-7,0.000009187935,0.0005063969],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848384,0.00004922324,0.0006650912,0.000073216965,0.00059467304,0.00013394876],"domain_scores_gemma":[0.99786484,0.00051001017,0.0008213134,0.00019991581,0.0005083357,0.00009559831],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00074430206,0.00010110445,0.00046349663,0.0006280145,0.00002504194,0.000017326514,0.00019837482,0.000068873516,0.0021426473],"category_scores_gemma":[0.0017622343,0.00006496919,0.0002738611,0.0009523265,0.000034571167,0.00015585279,0.000026746407,0.00023649349,0.000036889458],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011210721,0.0020491153,0.01501835,0.0010906546,0.0011120468,0.000049273916,0.0002634513,0.000049217426,0.0071181227,0.05018894,0.90407515,0.018873595],"study_design_scores_gemma":[0.009542668,0.010454574,0.10489963,0.012960931,0.0032552695,0.00090756925,0.006625744,0.0009053047,0.04324077,0.77083206,0.034041572,0.0023338965],"about_ca_topic_score_codex":0.0000072604253,"about_ca_topic_score_gemma":5.580973e-7,"teacher_disagreement_score":0.87003356,"about_ca_system_score_codex":0.000028602577,"about_ca_system_score_gemma":0.00003623113,"threshold_uncertainty_score":0.9987695},"labels":[],"label_agreement":null},{"id":"W2058102241","doi":"10.4153/cmb-2000-051-9","title":"Helices, Hasimoto Surfaces and Bäcklund Transformations","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Geodesic; Torsion (gastropod); Transformation (genetics); Constant (computer programming); Geometry; Pure mathematics; Mathematical analysis","score_opus":0.01850203814340487,"score_gpt":0.24147191671289367,"score_spread":0.2229698785694888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058102241","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67870635,0.00078312407,0.0020123906,0.014896393,0.00004230802,0.00064259826,0.00008135606,0.00013902894,0.30269647],"genre_scores_gemma":[0.9660983,0.00012277561,0.0088474825,0.0009838372,0.00007514842,0.000043072254,0.000017935192,0.00004236348,0.023769056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9985634,0.000054558495,0.00042299792,0.00024319683,0.00025290324,0.00046296002],"domain_scores_gemma":[0.99857557,0.0003623574,0.000044763186,0.00031003536,0.000056017292,0.0006512826],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00044675183,0.0002102564,0.0003739632,0.00020756962,0.00024010283,0.0001638042,0.00019494547,0.0001482974,0.091147386],"category_scores_gemma":[0.00028129737,0.0001776345,0.00010773624,0.000418807,0.00010056526,0.000073234536,0.000008848261,0.0001976547,0.0061622416],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026038993,0.0004146278,0.00024615927,0.0009781217,0.00043890692,0.000101999474,0.0045860447,0.000050072696,0.000037624137,0.5754213,0.34609404,0.07160507],"study_design_scores_gemma":[0.00042058312,0.000046996855,0.00030139508,0.000095745614,0.00017138984,0.00006420586,0.0005125476,0.001382387,0.000026055419,0.16755657,0.8289791,0.00044303457],"about_ca_topic_score_codex":0.0009488745,"about_ca_topic_score_gemma":0.0041847616,"teacher_disagreement_score":0.48288506,"about_ca_system_score_codex":0.000057244884,"about_ca_system_score_gemma":0.000084073305,"threshold_uncertainty_score":0.99461156},"labels":[],"label_agreement":null},{"id":"W2059341358","doi":"10.4153/cmb-2010-061-6","title":"On 6-Dimensional Nearly Kähler Manifolds","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Research Foundation of Korea; National Research Foundation","keywords":"Mathematics; Manifold (fluid mechanics); Dimension (graph theory); Homogeneous; Kähler manifold; Pure mathematics; Hyperkähler manifold; Mathematical analysis; Combinatorics; Hermitian manifold; Geometry; Ricci curvature","score_opus":0.015753078833222574,"score_gpt":0.24389009961230806,"score_spread":0.2281370207790855,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059341358","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8121381,0.000020488234,0.00080749876,0.009822851,0.00037429205,0.00036403703,0.00002660482,0.000118697375,0.17632748],"genre_scores_gemma":[0.9691064,4.8352064e-7,0.010909981,0.0023846328,0.0002300924,0.000028120257,0.000011170418,0.0000567616,0.01727236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99809027,0.00004386368,0.00040466397,0.00036812952,0.0004930824,0.0005999991],"domain_scores_gemma":[0.99743646,0.0008163268,0.000084464984,0.0006566691,0.00012488363,0.00088117475],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000639709,0.0002669842,0.00039934908,0.00034830923,0.00019144756,0.00012546398,0.00034735582,0.00028305376,0.12180028],"category_scores_gemma":[0.0021193721,0.0002142657,0.00021484769,0.00039331705,0.00009076685,0.000029376368,0.000035472814,0.00065821764,0.033795994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000046320347,0.00010463022,0.000019421981,0.000028557193,0.000042539177,0.00006111395,0.000051321746,0.0000020599296,0.000083120016,0.75575113,0.24321768,0.0006337822],"study_design_scores_gemma":[0.00042302464,0.00008973518,0.00046853477,0.000060078757,0.000102150836,0.00006208273,0.000054356926,0.000502304,0.000099004115,0.7459674,0.25165117,0.00052019296],"about_ca_topic_score_codex":0.00034938427,"about_ca_topic_score_gemma":0.0024247975,"teacher_disagreement_score":0.15905511,"about_ca_system_score_codex":0.000065081644,"about_ca_system_score_gemma":0.00014984548,"threshold_uncertainty_score":0.9669563},"labels":[],"label_agreement":null},{"id":"W2059824542","doi":"10.1016/j.jmaa.2012.10.044","title":"A note on curvature of Riemannian manifolds","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Faculty of Science and Engineering, University of Manchester; Regione Lombardia; Ministero dell’Istruzione, dell’Università e della Ricerca; Mountain Equipment Co-operative","keywords":"Sectional curvature; Mathematics; Curvature of Riemannian manifolds; Infinity; Ricci-flat manifold; Scalar curvature; Curvature; Einstein; Constant (computer programming); Prescribed scalar curvature problem; Riemannian geometry; Ricci curvature; Riemann curvature tensor; Mathematical analysis; Pure mathematics; Geometry; Mathematical physics","score_opus":0.02360810302109662,"score_gpt":0.31273353804075754,"score_spread":0.2891254350196609,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059824542","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18971534,0.0012252094,0.80053455,0.0011500217,0.000031291438,0.00028370932,0.000020374247,0.0000131320285,0.0070263827],"genre_scores_gemma":[0.9718251,0.00007138697,0.0275276,0.000052430532,0.00021889698,0.000011728295,0.0000023666978,0.000010924413,0.00027952928],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982562,0.000053995467,0.00088739366,0.00011274249,0.0004963401,0.00019333864],"domain_scores_gemma":[0.9977006,0.0006642846,0.00082379737,0.00033558745,0.0002611502,0.00021460325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011133403,0.00015221557,0.000786216,0.00056390464,0.00007402331,0.000028772265,0.00020070482,0.000111853034,0.00039269033],"category_scores_gemma":[0.00030152747,0.000097594406,0.0005772916,0.001824719,0.00006031974,0.00012596331,0.00003520483,0.00024110945,0.0000174785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027458704,0.0025406068,0.005158547,0.0002461834,0.003479657,0.0000019205916,0.0007355241,0.000037926646,0.0004757317,0.9726115,0.0014833829,0.013201604],"study_design_scores_gemma":[0.0012805191,0.00043944005,0.03268597,0.0002761747,0.03329556,0.0001379434,0.0013765063,0.0027011705,0.0021357546,0.8839175,0.040920295,0.0008331693],"about_ca_topic_score_codex":0.0000012817483,"about_ca_topic_score_gemma":0.0000020617504,"teacher_disagreement_score":0.7821098,"about_ca_system_score_codex":0.000018309758,"about_ca_system_score_gemma":0.000014705306,"threshold_uncertainty_score":0.42996836},"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,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_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","score_opus":0.0711336595774575,"score_gpt":0.32385075761108834,"score_spread":0.25271709803363085,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060003483","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3895969,0.002077528,0.6073858,0.00016717915,0.00021293151,0.00015968375,0.000045179702,0.00008141699,0.0002733466],"genre_scores_gemma":[0.979549,0.00006703693,0.016598616,0.0001066137,0.0004751414,0.00008267714,0.00023091021,0.000029038083,0.002860974],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973431,0.000044158423,0.0008597926,0.00061784644,0.0006681079,0.00046694398],"domain_scores_gemma":[0.9971674,0.0015743398,0.00035880526,0.00030413983,0.00040605888,0.00018926969],"candidate_categories":["metaepi_narrow","bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.000999085,0.0003348512,0.0009254135,0.007863379,0.00034128933,0.0002340992,0.00014557931,0.00015000241,0.0004229977],"category_scores_gemma":[0.001981512,0.0002700851,0.0008132832,0.02149162,0.000058268564,0.00026490208,0.000117120966,0.00025899362,0.000037802478],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000863918,0.005148096,0.3600842,0.0021031667,0.064202234,0.00005366812,0.0020451632,0.15359817,0.0003934963,0.27691194,0.026473954,0.108122006],"study_design_scores_gemma":[0.009877257,0.0022987586,0.26746166,0.00023406124,0.06842854,0.00019556124,0.0076661385,0.21832924,0.0014089311,0.31850052,0.100136116,0.00546321],"about_ca_topic_score_codex":0.00027682632,"about_ca_topic_score_gemma":0.0000976079,"teacher_disagreement_score":0.59078723,"about_ca_system_score_codex":0.0001620252,"about_ca_system_score_gemma":0.00005206351,"threshold_uncertainty_score":0.99997514},"labels":[],"label_agreement":null},{"id":"W2060159877","doi":"10.4153/cmb-2015-006-0","title":"Spectral Properties of a Family of Minimal Tori of Revolution in the Five-dimensional Sphere","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Torus; Minimal surface; Pure mathematics; Surface of revolution; Eigenvalues and eigenvectors; Operator (biology); Space (punctuation); Laplace operator; Laplace transform; Surface (topology); Mathematical analysis; Geometry","score_opus":0.06148201607367026,"score_gpt":0.25321349063777654,"score_spread":0.19173147456410627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060159877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99017227,0.0005411086,0.00010253361,0.0010253723,0.000029454277,0.00025320114,0.000015935671,0.000004422518,0.00785568],"genre_scores_gemma":[0.9942442,0.00000207811,0.0050642104,0.00006508109,0.000034029963,0.000009767903,0.0000023296373,0.000010846324,0.00056741957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834967,0.00012053275,0.0006512284,0.00013787423,0.0004994117,0.0002413003],"domain_scores_gemma":[0.99885255,0.00023218479,0.00020430645,0.00031701234,0.00023827002,0.00015567068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010717706,0.00012876977,0.0004914456,0.00017234929,0.000018645911,0.000007010381,0.00027389853,0.00010534503,0.0007819206],"category_scores_gemma":[0.0018878399,0.00008282191,0.00013808813,0.00051087677,0.00015382316,0.000022232494,0.00002432718,0.00014374354,0.00007465739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030926825,0.0019766886,0.001942318,0.0034299053,0.0004002292,0.000080155536,0.017142333,0.00024019503,0.0059283497,0.6705537,0.29716575,0.000831125],"study_design_scores_gemma":[0.007379433,0.002685312,0.019496314,0.0059018945,0.0015477333,0.00021018134,0.07766715,0.01070806,0.01206217,0.8270151,0.03302407,0.0023026096],"about_ca_topic_score_codex":0.0029972543,"about_ca_topic_score_gemma":0.0021229698,"teacher_disagreement_score":0.26414168,"about_ca_system_score_codex":0.00007829831,"about_ca_system_score_gemma":0.00031465307,"threshold_uncertainty_score":0.85614824},"labels":[],"label_agreement":null},{"id":"W2060268836","doi":"10.4153/cmb-2000-009-7","title":"Sharpness Results and Knapp’s Homogeneity Argument","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Hypersurface; Homogeneity (statistics); Principal curvature; Pure mathematics; Argument (complex analysis); Principal (computer security); Mathematical analysis; Geometry; Curvature; Statistics; Mean curvature","score_opus":0.022322748493255787,"score_gpt":0.2466557352675265,"score_spread":0.22433298677427072,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060268836","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7547268,0.00041085793,0.00066436327,0.014225612,0.000065725406,0.0006209082,0.00015708174,0.0001263177,0.22900233],"genre_scores_gemma":[0.9601452,0.00004738878,0.0065741395,0.00092766504,0.00014010064,0.000043666856,0.00002512192,0.00004391286,0.03205283],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9981508,0.000069636444,0.000514958,0.00040804103,0.0003097928,0.0005467662],"domain_scores_gemma":[0.99816465,0.0003675277,0.00006882699,0.00052189763,0.00006475478,0.0008123407],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007433709,0.00024400286,0.00044176923,0.00018931371,0.00018903665,0.0001258448,0.00024411184,0.00016846154,0.055359423],"category_scores_gemma":[0.00077347877,0.00020441493,0.00012050295,0.00038992942,0.000097281576,0.000033194894,0.000027978014,0.00021646738,0.0070163715],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009855418,0.0005894736,0.00023696858,0.0005812851,0.00043610486,0.000342902,0.0017335559,0.000015454394,0.000028265842,0.32420227,0.589065,0.08267013],"study_design_scores_gemma":[0.0009355221,0.000075301454,0.0008656053,0.00012726671,0.00019266972,0.00008717163,0.00023921696,0.00050839456,0.000057430443,0.18247329,0.81382906,0.00060909195],"about_ca_topic_score_codex":0.00092350366,"about_ca_topic_score_gemma":0.0018037034,"teacher_disagreement_score":0.224764,"about_ca_system_score_codex":0.00009919075,"about_ca_system_score_gemma":0.000079938334,"threshold_uncertainty_score":0.9937568},"labels":[],"label_agreement":null},{"id":"W2061083274","doi":"10.2478/s11533-012-0067-x","title":"Foliations of lightlike hypersurfaces and their physical interpretation","year":2012,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Interpretation (philosophy); Materials science; Philosophy; Linguistics","score_opus":0.05524243288079094,"score_gpt":0.3391104961131708,"score_spread":0.28386806323237984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061083274","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9537918,0.00022562375,0.023587713,0.0001154547,0.00006386256,0.00033373164,0.000012487368,0.000021255939,0.021848047],"genre_scores_gemma":[0.95483875,0.000012873612,0.044480618,0.000016553986,0.00004267237,0.000014410157,0.0000037647726,0.000015815964,0.00057451875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992716,0.000039309078,0.00028385266,0.00010125977,0.00014790066,0.00015608002],"domain_scores_gemma":[0.9987926,0.0005484125,0.00023748407,0.000272949,0.00008087356,0.000067701476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051033794,0.00012766237,0.00038912302,0.00007668605,0.00006192144,0.00007105951,0.00023988364,0.000048287093,0.00007768062],"category_scores_gemma":[0.00035857968,0.00008538552,0.000080150094,0.000319794,0.00003790827,0.00036127912,0.0001655142,0.00007472975,0.000019363493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022327067,0.0033256235,0.0030313,0.0008118283,0.0007529723,4.0579081e-7,0.09806326,0.00001768669,0.0051053665,0.86963916,0.0051903967,0.0140397],"study_design_scores_gemma":[0.0011336785,0.00022051139,0.0024315226,0.00039682543,0.0009674808,0.000023494355,0.031057175,0.048460662,0.016113298,0.89363986,0.0047076545,0.0008478261],"about_ca_topic_score_codex":0.0000064626947,"about_ca_topic_score_gemma":0.0000048478482,"teacher_disagreement_score":0.06700609,"about_ca_system_score_codex":0.000011807338,"about_ca_system_score_gemma":0.000011748151,"threshold_uncertainty_score":0.34819207},"labels":[],"label_agreement":null},{"id":"W2061673078","doi":"10.1088/0264-9381/25/1/012001","title":"The type N Karlhede bound is sharp","year":2007,"lang":"en","type":"article","venue":"Classical and Quantum Gravity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Covariant transformation; Invariant (physics); Tetrad; Curvature; Covariant derivative; Homogeneous; Riemann curvature tensor","score_opus":0.044037644990946354,"score_gpt":0.3194225826593731,"score_spread":0.27538493766842675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061673078","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9897013,0.0008999438,0.0020975166,0.003206341,0.00030342193,0.00010595551,0.0000055946634,0.000046894627,0.0036330852],"genre_scores_gemma":[0.9943156,0.00008383796,0.00022929042,0.0003004954,0.00019774813,0.0000018198319,0.0000028606964,0.000010846966,0.0048574796],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988724,0.00003613813,0.00025809428,0.00022689838,0.0002772995,0.00032916456],"domain_scores_gemma":[0.99865824,0.000718886,0.000083817955,0.00028760996,0.00009518973,0.00015626728],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009036038,0.00013719576,0.00022878533,0.000045653345,0.00040548472,0.00012817241,0.00016057724,0.00011751996,0.00006905844],"category_scores_gemma":[0.00049939874,0.0000753633,0.0001136025,0.0005218667,0.00018970587,0.00005516621,0.00007582026,0.00026492405,0.000056318622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008596049,0.00022967861,0.005405208,0.00003375815,0.000114631024,0.000016680828,0.0002558293,4.6064287e-8,0.00041410877,0.8737198,0.091708094,0.028016204],"study_design_scores_gemma":[0.00024863458,0.000116653944,0.035906885,0.00001233817,0.0001080575,0.000009989634,0.0002541172,0.00066443876,0.0001924032,0.5665437,0.39572737,0.00021539938],"about_ca_topic_score_codex":0.000016454618,"about_ca_topic_score_gemma":0.000115206916,"teacher_disagreement_score":0.30717608,"about_ca_system_score_codex":0.00001826536,"about_ca_system_score_gemma":0.000019528095,"threshold_uncertainty_score":0.3118702},"labels":[],"label_agreement":null},{"id":"W2062448023","doi":"10.1007/s101140200163","title":"Two-Dimensional Graphs Moving by Mean Curvature Flow","year":2002,"lang":"en","type":"article","venue":"Acta Mathematica Sinica English Series","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Scalar curvature; Mean curvature flow; Mathematics; Mean curvature; Surface (topology); Graph; Holomorphic function; Curvature; Combinatorics; Orthonormal basis; Mathematical analysis; Geodesic; Mathematical physics; Physics; Geometry; Quantum mechanics","score_opus":0.022904175047603732,"score_gpt":0.25077066041204515,"score_spread":0.22786648536444143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062448023","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.752586,0.0060159205,0.001127108,0.0070972415,0.0025497808,0.0021942088,0.00042211468,0.0030895174,0.2249181],"genre_scores_gemma":[0.92532235,0.000105664236,0.06555222,0.00044089797,0.00037019656,0.00006955788,0.00006418032,0.0001414916,0.0079334425],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963029,0.00016917178,0.0010551434,0.0006974049,0.0010356207,0.0007397644],"domain_scores_gemma":[0.99602133,0.0014653933,0.0004649467,0.0012798376,0.00046950064,0.0002990014],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008588068,0.0005990943,0.0010632606,0.00027823338,0.00036243032,0.00031268992,0.00071664964,0.00032254215,0.0042846915],"category_scores_gemma":[0.00414859,0.00048664797,0.00050223613,0.0013715283,0.00022282879,0.0010004746,0.00024512503,0.00067049783,0.000119899014],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004511156,0.0016516674,0.00011771481,0.0004906307,0.0010708083,0.000036975813,0.0118764825,0.00003084008,0.0012435168,0.10834772,0.87350154,0.0015870178],"study_design_scores_gemma":[0.0050960863,0.0007580362,0.000108469954,0.001100848,0.0027937712,0.00025515768,0.009761538,0.020835787,0.0038676441,0.7349628,0.21562584,0.0048340033],"about_ca_topic_score_codex":0.000005298917,"about_ca_topic_score_gemma":0.000019681063,"teacher_disagreement_score":0.65787566,"about_ca_system_score_codex":0.00005488533,"about_ca_system_score_gemma":0.00002769659,"threshold_uncertainty_score":0.99975854},"labels":[],"label_agreement":null},{"id":"W2062613496","doi":"10.1007/bf02921863","title":"On a Step 2(k + 1) sub-Riemannian manifold","year":2004,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Riemannian manifold; Geodesic; Exponential map (Riemannian geometry); Riemannian geometry; Pseudo-Riemannian manifold; Point (geometry); Manifold (fluid mechanics); Hermitian manifold; Mathematics; Riemannian submersion; Pure mathematics; Fundamental theorem of Riemannian geometry; Minimal volume; Solving the geodesic equations; Mathematical analysis; Ricci curvature; Scalar curvature; Geometry; Sectional curvature","score_opus":0.02116645657293518,"score_gpt":0.277057794828282,"score_spread":0.2558913382553468,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062613496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72059894,0.0012078383,0.2750715,0.00063534116,0.00017985319,0.00009592472,0.0000067120227,0.00002736458,0.0021765165],"genre_scores_gemma":[0.99014306,0.0002321016,0.0084091835,0.00020334143,0.00024555958,0.0000019343206,0.0000036892677,0.000027999067,0.00073311786],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961808,0.00009498578,0.0013521438,0.0002992308,0.0016441387,0.0004287084],"domain_scores_gemma":[0.9961091,0.00071920455,0.0015195468,0.0005796243,0.00074532046,0.0003271672],"candidate_categories":["bibliometrics"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.001907587,0.00031584167,0.0013509681,0.011942199,0.0001358635,0.0001377092,0.0005932418,0.00018373902,0.0005636697],"category_scores_gemma":[0.0025552986,0.00023056033,0.002022877,0.031991553,0.00003269724,0.00026179547,0.000055230408,0.0005619749,0.00008858502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013915953,0.017513322,0.09095451,0.0005646479,0.16705495,0.005099857,0.0021955366,0.124683805,0.00068903336,0.38005266,0.11148193,0.09831815],"study_design_scores_gemma":[0.02540348,0.010691484,0.2430566,0.00078528904,0.17805237,0.0012528745,0.005798419,0.004292723,0.004736926,0.4791171,0.04071377,0.006098975],"about_ca_topic_score_codex":0.00004874757,"about_ca_topic_score_gemma":0.000060165243,"teacher_disagreement_score":0.26954412,"about_ca_system_score_codex":0.00029564614,"about_ca_system_score_gemma":0.00010463791,"threshold_uncertainty_score":0.9992566},"labels":[],"label_agreement":null},{"id":"W2063022591","doi":"10.5539/jmr.v7n2p76","title":"On Co-screen Conformality of 1-lightlike Submanifolds in a Lorentzian Manifold","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Türkiye Bilimsel ve Teknolojik Araştırma Kurumu","keywords":"Conformal map; Generalization; Manifold (fluid mechanics); Pure mathematics; Mathematics; Tensor (intrinsic definition); Distribution (mathematics); Mathematical analysis","score_opus":0.3329431242913096,"score_gpt":0.4738202700661303,"score_spread":0.1408771457748207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063022591","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9635723,0.00019087335,0.0022886896,0.00031385833,0.00008904282,0.0003044467,0.000012056915,0.000008536119,0.03322019],"genre_scores_gemma":[0.99174,0.000048137314,0.0073150983,0.000017382672,0.00010011193,0.0000035807366,0.0000021267483,0.000026882344,0.0007466873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9944735,0.00032908816,0.0015795999,0.00014776796,0.002998694,0.00047132533],"domain_scores_gemma":[0.9951761,0.001642377,0.00082915666,0.00053033227,0.0015055586,0.00031649155],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.014943898,0.00018595286,0.0008731783,0.0016369431,0.000047387075,0.0000734994,0.0007564133,0.00017984776,0.0002353699],"category_scores_gemma":[0.0042465148,0.00013111273,0.00027202803,0.0013587937,0.00009329926,0.00022083803,0.00011408669,0.00092851254,0.000053981756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006128547,0.0071331994,0.007693707,0.0015732235,0.00070559036,0.0004650162,0.011376009,0.00015513005,0.000582424,0.8737875,0.09454174,0.0013735779],"study_design_scores_gemma":[0.0062943073,0.003410439,0.0036859051,0.0015376513,0.00020411827,0.00030322082,0.021423262,0.0044048405,0.006351445,0.94715786,0.0046318294,0.0005951394],"about_ca_topic_score_codex":0.000053589712,"about_ca_topic_score_gemma":0.00007526431,"teacher_disagreement_score":0.08990991,"about_ca_system_score_codex":0.00021258063,"about_ca_system_score_gemma":0.00029964905,"threshold_uncertainty_score":0.5346622},"labels":[],"label_agreement":null},{"id":"W2063272182","doi":"10.4153/cmb-2011-020-4","title":"Two Conditions on the Structure Jacobi Operator for Real Hypersurfaces in Complex Projective Space","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Research Foundation of Korea; Ministerio de Economía y Competitividad; National Research Foundation","keywords":"Mathematics; Jacobi operator; Complex projective space; Complex space; Quaternionic projective space; Projective test; Pure mathematics; Operator (biology); Space (punctuation); Projective space; Real projective space; Mathematical analysis; Algebra over a field; Jacobi polynomials; Affine transformation; Computer science","score_opus":0.0869275666364081,"score_gpt":0.30071149656448737,"score_spread":0.21378392992807926,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063272182","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8833037,0.000022538268,0.00050692353,0.008593051,0.000078268735,0.0022301686,0.0005084769,0.00005808819,0.104698785],"genre_scores_gemma":[0.9886073,0.000002076616,0.009154614,0.00075418357,0.00006214963,0.00011635333,0.000026722591,0.00003684391,0.00123975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985226,0.00011554392,0.0003529611,0.0003111849,0.00021439875,0.0004833335],"domain_scores_gemma":[0.9981034,0.0009738393,0.00009498686,0.00041873634,0.00013545949,0.00027359405],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004803038,0.0002401492,0.0004130712,0.0002475302,0.00022650787,0.00006642572,0.00033819026,0.00012841409,0.019763106],"category_scores_gemma":[0.0013518796,0.00015630486,0.00013773228,0.0004905072,0.0001295309,0.000027596772,0.000023568587,0.0002813907,0.00058133446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017166227,0.000105451,0.00012451514,0.00005628778,0.00008184186,0.000012449072,0.0018245537,0.0000068506997,0.00010011641,0.9318002,0.06582816,0.00004243737],"study_design_scores_gemma":[0.0017539565,0.00034655788,0.0034157832,0.00021368409,0.0002993448,0.000029702467,0.013152728,0.0015862663,0.0008058971,0.93705124,0.040368047,0.0009767942],"about_ca_topic_score_codex":0.002637242,"about_ca_topic_score_gemma":0.017275846,"teacher_disagreement_score":0.10530361,"about_ca_system_score_codex":0.0001711232,"about_ca_system_score_gemma":0.0001670866,"threshold_uncertainty_score":0.981133},"labels":[],"label_agreement":null},{"id":"W2064526967","doi":"10.1353/ajm.2008.0013","title":"A Notable Family of Entire Intrinsic Minimal Graphs in the Heisenberg Group which are not Perimeter Minimizing","year":2008,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Perimeter; Mathematics; Euclidean geometry; Heisenberg group; Combinatorics; Group (periodic table); Stability (learning theory); Pure mathematics; Geometry; Quantum mechanics; Computer science; Physics","score_opus":0.04316169457822577,"score_gpt":0.271830193034567,"score_spread":0.22866849845634124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064526967","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9962505,0.00032025657,0.0022934675,0.00025546228,0.0000796747,0.00014459049,0.000005354712,0.000008267556,0.0006424381],"genre_scores_gemma":[0.9303079,0.00020426424,0.069162145,0.00016359123,0.00008105498,0.0000051542356,8.327164e-7,0.00003190462,0.000043117503],"study_design_codex":"qualitative","study_design_gemma":"qualitative","domain_scores_codex":[0.99670017,0.00024741844,0.001504188,0.00017753795,0.0010119352,0.0003587553],"domain_scores_gemma":[0.9951789,0.001394182,0.0023777795,0.0004939799,0.00045716777,0.00009798778],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016800088,0.00027842488,0.0012621682,0.0006453699,0.00009728205,0.000038426548,0.00068009674,0.000072185365,0.000039220013],"category_scores_gemma":[0.0011590775,0.00017873444,0.00047629498,0.002610936,0.0002609421,0.000187934,0.000069584275,0.0005033302,0.000004431939],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0030638713,0.05285437,0.2704601,0.0064464603,0.011962522,0.0044385334,0.3586052,0.0007725547,0.037916567,0.087210715,0.064145446,0.10212364],"study_design_scores_gemma":[0.01230225,0.012419294,0.2710009,0.0049721263,0.0054717544,0.010564831,0.5993556,0.005009072,0.003914179,0.06366313,0.0071347463,0.0041921735],"about_ca_topic_score_codex":0.00003468451,"about_ca_topic_score_gemma":0.000032331605,"teacher_disagreement_score":0.24075034,"about_ca_system_score_codex":0.00004151389,"about_ca_system_score_gemma":0.00008317333,"threshold_uncertainty_score":0.7288579},"labels":[],"label_agreement":null},{"id":"W2066599980","doi":"10.1007/s11005-005-1451-2","title":"Normalized Ricci Flow on Riemann Surfaces and Determinant of Laplacian","year":2005,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Ricci flow; Mathematics; Laplace operator; Riemann hypothesis; Flow (mathematics); Pure mathematics; Ricci curvature; Mathematical analysis; Geometry","score_opus":0.022933393569357464,"score_gpt":0.2787354296104706,"score_spread":0.2558020360411131,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066599980","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97611606,0.00003863932,0.020486789,0.0010811425,0.000030985546,0.00021295299,0.0000063552225,0.000030562045,0.0019965416],"genre_scores_gemma":[0.93864864,0.000010412434,0.06045953,0.0006312537,0.000107685744,0.000012859781,0.0000028083723,0.000025588084,0.00010119508],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984628,0.00007106641,0.00053277565,0.0002440065,0.0003991046,0.00029023556],"domain_scores_gemma":[0.998597,0.00074585143,0.00018562691,0.00036979557,0.00003286569,0.00006883007],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004238145,0.00022178293,0.00062338234,0.00011643922,0.0000418097,0.00003097155,0.00018568864,0.00008489135,0.00007185928],"category_scores_gemma":[0.00026273596,0.00017073436,0.00013602962,0.00046743563,0.00010693001,0.00013653479,0.00006148775,0.00023186643,0.000041257026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00042283811,0.008771068,0.010108949,0.0056819227,0.000939949,0.00016798111,0.016875574,0.008426207,0.021066366,0.76369387,0.024046317,0.13979898],"study_design_scores_gemma":[0.0036929694,0.00030995382,0.0037164711,0.0010180102,0.0004916285,0.000023405202,0.0005081008,0.21554871,0.01476442,0.756798,0.0017087889,0.001419493],"about_ca_topic_score_codex":0.0000028680545,"about_ca_topic_score_gemma":0.000010299815,"teacher_disagreement_score":0.2071225,"about_ca_system_score_codex":0.000030452045,"about_ca_system_score_gemma":0.0000071501686,"threshold_uncertainty_score":0.6962345},"labels":[],"label_agreement":null},{"id":"W2067074087","doi":"10.4153/cmb-2011-193-6","title":"Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie 𝔻-parallel","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Research Foundation of Korea; Ministerio de Economía y Competitividad; National Research Foundation","keywords":"Mathematics; Complex projective space; Quaternionic projective space; Jacobi operator; Pure mathematics; Projective space; Projective test; Operator (biology); Complex space; Space (punctuation); Algebra over a field; Mathematical analysis; Jacobi polynomials; Computer science","score_opus":0.06390348806844472,"score_gpt":0.2708670327930664,"score_spread":0.2069635447246217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067074087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8813197,0.00011511046,0.00045666358,0.0036100105,0.00007652791,0.0010542696,0.00015028741,0.00008943896,0.11312797],"genre_scores_gemma":[0.94272417,0.000019742181,0.05193499,0.00070281856,0.00008133001,0.000046487014,0.000019171788,0.00007124858,0.004400053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99753165,0.00013041604,0.00060246396,0.0005476662,0.00039301554,0.0007948058],"domain_scores_gemma":[0.99816155,0.00024045743,0.00014412902,0.0006115075,0.00016998265,0.0006723884],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000450006,0.0004070498,0.0007789356,0.00047724132,0.00014789734,0.00009975946,0.0005014425,0.00032487078,0.053784985],"category_scores_gemma":[0.00073534227,0.00033616528,0.00017661056,0.0008777841,0.00014505607,0.00007028554,0.00006841699,0.00047110778,0.002269754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011856957,0.0008053049,0.004555402,0.0007022488,0.0005787712,0.0005036071,0.031482186,0.000011691995,0.00046491108,0.5462096,0.41359413,0.00097363425],"study_design_scores_gemma":[0.004355286,0.0006316068,0.021917181,0.0006359166,0.0007575193,0.00018668715,0.022483587,0.0031165888,0.0011162185,0.75725836,0.18354061,0.004000452],"about_ca_topic_score_codex":0.008328922,"about_ca_topic_score_gemma":0.015702851,"teacher_disagreement_score":0.2300535,"about_ca_system_score_codex":0.00027937305,"about_ca_system_score_gemma":0.0002888407,"threshold_uncertainty_score":0.99990904},"labels":[],"label_agreement":null},{"id":"W2067193435","doi":"10.1137/s0036141002410927","title":"Minimizing Flows for the Monge--Kantorovich Problem","year":2003,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":156,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Toronto; Technion-Israel Institute of Technology; National Science Foundation","keywords":"Mathematics; Flow (mathematics); Term (time); Fluid dynamics; Work (physics); Mathematical optimization; Mass transport; Applied mathematics; Mass transportation; Optimal control; Calculus (dental); Geometry; Mechanics; Physics","score_opus":0.04661947304127989,"score_gpt":0.313220522407331,"score_spread":0.2666010493660511,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067193435","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.027882816,0.0009180375,0.9558592,0.0023656792,0.00017628366,0.00072255445,0.000011394331,0.00007754925,0.011986523],"genre_scores_gemma":[0.669003,0.00019114194,0.32264274,0.0005239486,0.00052916585,0.000156666,0.0000065260365,0.000102864025,0.0068439487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99651617,0.00026288355,0.0011871479,0.0003817595,0.0010221483,0.0006299033],"domain_scores_gemma":[0.9937547,0.0042719394,0.0005796856,0.00070281007,0.00039894876,0.00029194148],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003663377,0.0003861603,0.0010873538,0.0006786684,0.0006811301,0.00039853918,0.00056676974,0.00016949454,0.0020308637],"category_scores_gemma":[0.003607661,0.00020620602,0.0019261903,0.0029904996,0.000060559025,0.00015679479,0.000035569836,0.0005844906,0.00010467853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012463002,0.0021392237,0.0006916059,0.00045828093,0.023786219,0.00005203773,0.0015938,0.006393021,0.00017629673,0.93647134,0.01613931,0.011974206],"study_design_scores_gemma":[0.0009295244,0.00023250745,0.00009632616,0.00010004084,0.014297272,0.00009483036,0.0015720675,0.04834986,0.00016045953,0.91453964,0.01907363,0.0005538464],"about_ca_topic_score_codex":0.0000014839643,"about_ca_topic_score_gemma":0.000016288563,"teacher_disagreement_score":0.6411202,"about_ca_system_score_codex":0.00009360532,"about_ca_system_score_gemma":0.00006243721,"threshold_uncertainty_score":0.9988814},"labels":[],"label_agreement":null},{"id":"W2068165905","doi":"10.5539/mas.v3n3p60","title":"Partially Null Curves of Constant Breadth in Semi-Riemannian Space","year":2009,"lang":"en","type":"article","venue":"Modern Applied Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Constant (computer programming); Null (SQL); Mathematics; Space (punctuation); Mathematical analysis; Riemannian geometry; Computer science","score_opus":0.0257790420171377,"score_gpt":0.28661620217362094,"score_spread":0.2608371601564832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068165905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58767897,0.0010391444,0.27822912,0.0021747698,0.00010068567,0.00087349926,0.0000138246805,0.00013051933,0.12975948],"genre_scores_gemma":[0.9950075,0.000035929945,0.004494576,0.00023675419,0.000014471274,0.000006643032,0.0000010078005,0.00000625122,0.00019686864],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980335,0.000018015206,0.00039628163,0.00039824596,0.00075796375,0.00039594536],"domain_scores_gemma":[0.9990199,0.00009309046,0.00019056573,0.00047912897,0.00010454511,0.000112778376],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013045683,0.00015050075,0.000384998,0.0003018995,0.000082270795,0.000042263684,0.0005066618,0.000055333694,0.000047906316],"category_scores_gemma":[0.00021361138,0.00012396266,0.000061873725,0.0022461296,0.00030478986,0.00013247057,0.000059782753,0.00015280281,0.000011413072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000752086,0.0012364596,0.0034130726,0.00026422332,0.00003363238,0.000026737718,0.005011729,0.0010722567,0.3920987,0.57023174,0.0031632013,0.023373052],"study_design_scores_gemma":[0.001728362,0.0002431882,0.021782212,0.0006053017,0.00015556984,0.00001884556,0.0011151164,0.13785571,0.043698855,0.79054344,0.0010582305,0.001195164],"about_ca_topic_score_codex":0.000016259273,"about_ca_topic_score_gemma":0.000074431395,"teacher_disagreement_score":0.40732852,"about_ca_system_score_codex":0.000046998517,"about_ca_system_score_gemma":0.0001629403,"threshold_uncertainty_score":0.5055051},"labels":[],"label_agreement":null},{"id":"W2068414198","doi":"10.1007/s40840-014-0105-x","title":"Gauss and Ricci Equations in Contact Manifolds with a Quarter-Symmetric Metric Connection","year":2014,"lang":"en","type":"article","venue":"Bulletin of the Malaysian Mathematical Sciences Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Mathematics; Metric connection; Metric (unit); Quarter (Canadian coin); Manifold (fluid mechanics); Gauss; Mathematical analysis; Fundamental theorem of Riemannian geometry; Pure mathematics; Ricci curvature; Geometry; Physics","score_opus":0.02114061244589271,"score_gpt":0.25414620214205613,"score_spread":0.23300558969616342,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068414198","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8132675,0.00018543508,0.13307476,0.0101975305,0.000098590106,0.000944938,0.0000055373985,0.0000740443,0.042151626],"genre_scores_gemma":[0.97775286,0.000008393498,0.021669736,0.00014159956,0.000029934487,0.000022698252,4.1898505e-7,0.000010325517,0.00036401665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979657,0.00018848616,0.00048563685,0.00033626755,0.00070003234,0.00032390124],"domain_scores_gemma":[0.9968306,0.0023453156,0.0003275444,0.00032993025,0.00008211867,0.000084478685],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026821548,0.00018718457,0.00045859514,0.0002111157,0.00023642628,0.00009552318,0.00041557723,0.00010698267,0.00036874862],"category_scores_gemma":[0.0018083669,0.00010413862,0.00022575146,0.0036075057,0.00030596904,0.000052542076,0.000109238434,0.00019826395,0.000020065268],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001108013,0.0005476908,0.009531885,0.0003531417,0.00010793909,6.486367e-7,0.001332674,0.00015922006,0.00006508731,0.9822173,0.0046376353,0.0010356834],"study_design_scores_gemma":[0.003613197,0.0017185637,0.061052084,0.00085196947,0.00093866116,0.00009027908,0.015399504,0.21669272,0.00033342457,0.6938469,0.0041494416,0.0013132843],"about_ca_topic_score_codex":0.000061992956,"about_ca_topic_score_gemma":0.000018383713,"teacher_disagreement_score":0.28837043,"about_ca_system_score_codex":0.000049276056,"about_ca_system_score_gemma":0.000027590479,"threshold_uncertainty_score":0.42466497},"labels":[],"label_agreement":null},{"id":"W2068600297","doi":"10.1142/s0219887810004841","title":"KILLING VECTORS IN HIGHER-DIMENSIONAL SPACETIMES WITH CONSTANT SCALAR CURVATURE INVARIANTS","year":2010,"lang":"en","type":"article","venue":"International Journal of Geometric Methods in Modern Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Killing vector field; Constant curvature; Scalar (mathematics); Curvature; Constant (computer programming); Null vector","score_opus":0.06167374364821059,"score_gpt":0.38038260274456825,"score_spread":0.31870885909635766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068600297","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5433058,0.0005223076,0.4521124,0.00065979915,0.0020965827,0.00015980226,0.000013007925,0.000016057524,0.0011142263],"genre_scores_gemma":[0.5881234,0.000038131766,0.4111921,0.00008807933,0.00042116363,0.000002971813,0.0000037840184,0.00002781495,0.00010257936],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99639255,0.00031550572,0.0010846098,0.0003287094,0.0015214784,0.0003571372],"domain_scores_gemma":[0.994987,0.002469827,0.0010415581,0.00030112168,0.0010509149,0.00014956306],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034530768,0.00031387538,0.00081060897,0.00244541,0.000041100277,0.00011709583,0.00079465803,0.00023464262,0.00023786681],"category_scores_gemma":[0.0021870332,0.0002351246,0.00025207148,0.0037845948,0.00010300287,0.00047503074,0.00012775432,0.0017260421,0.0000030922993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016095269,0.006447278,0.2336862,0.00018676581,0.0042371685,0.0020175725,0.0028240343,0.04220681,0.039186187,0.10063794,0.0019338205,0.5650267],"study_design_scores_gemma":[0.008665284,0.0005026004,0.043092128,0.0010054491,0.00050070416,0.0006048882,0.00058220566,0.053514022,0.009908995,0.8773748,0.002714765,0.0015341187],"about_ca_topic_score_codex":0.000030761512,"about_ca_topic_score_gemma":0.0000361438,"teacher_disagreement_score":0.7767369,"about_ca_system_score_codex":0.00016140981,"about_ca_system_score_gemma":0.00022785352,"threshold_uncertainty_score":0.95881027},"labels":[],"label_agreement":null},{"id":"W2068649488","doi":"10.1007/s00220-003-0912-7","title":"On the Geometry and Mass of Static, Asymptotically AdS Spacetimes, and the Uniqueness of the AdS Soliton","year":2003,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Uniqueness; Hypersurface; Convexity; Geodesic; Minkowski space; Conjecture; Conformal map; Soliton; Pullback","score_opus":0.04028749343610213,"score_gpt":0.30388388845648134,"score_spread":0.26359639502037924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068649488","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75634027,0.0025682107,0.14920147,0.017261555,0.00008736075,0.0030074422,0.000049251074,0.000052641215,0.0714318],"genre_scores_gemma":[0.9819657,0.00022273957,0.017493723,0.00012624898,0.0000057662905,0.000044716333,0.0000013469042,0.000017124532,0.00012262417],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979382,0.0008410232,0.00056511845,0.0001363808,0.0003538679,0.00016537774],"domain_scores_gemma":[0.986537,0.010745132,0.0003076252,0.002221062,0.00015382632,0.000035358276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021051546,0.00016253853,0.0004796413,0.00006277859,0.00016789742,0.00003429064,0.000869279,0.0000814933,0.00003476174],"category_scores_gemma":[0.004286972,0.000076113734,0.0001234515,0.0010392827,0.0013419827,0.000049491922,0.0003062385,0.00043574732,0.0000022820432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007692064,0.00028177205,0.0002495003,0.00011721385,0.00006582939,4.776041e-8,0.00075334567,0.000024309564,0.000047063662,0.99798775,0.00014532212,0.00032015302],"study_design_scores_gemma":[0.00041241173,0.000022125447,0.00033043235,0.00016237203,0.0001438308,0.0000015230635,0.00088055234,0.008061079,0.00045995755,0.9893123,0.00012749039,0.00008591343],"about_ca_topic_score_codex":0.000005355223,"about_ca_topic_score_gemma":0.000004811439,"teacher_disagreement_score":0.22562543,"about_ca_system_score_codex":0.000020392607,"about_ca_system_score_gemma":0.00004740536,"threshold_uncertainty_score":0.51322156},"labels":[],"label_agreement":null},{"id":"W2069359224","doi":"10.2969/jmsj/1149166785","title":"Stability of parabolic Harnack inequalities on metric measure spaces","year":2006,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Culture, Sports, Science and Technology; National Science Foundation","keywords":"Harnack's inequality; Harnack's principle; Measure (data warehouse); Metric (unit); Dirichlet form; Divergence (linguistics); Stability (learning theory); Poincaré inequality; Elliptic operator; Exponent","score_opus":0.05058455057789514,"score_gpt":0.28457589738854094,"score_spread":0.23399134681064582,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069359224","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9915736,0.00047479259,0.004311253,0.0013741137,0.00008439095,0.00016294867,0.000010422536,0.000009102564,0.0019993966],"genre_scores_gemma":[0.9878498,0.00002520136,0.011621315,0.000048479273,0.00014185152,0.0000015390822,3.2106155e-7,0.000017231578,0.00029428303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996619,0.00021376622,0.0014168349,0.00012227453,0.001398688,0.00022943047],"domain_scores_gemma":[0.9954946,0.0016052016,0.001797598,0.0004768805,0.00055186363,0.000073874624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030561946,0.0002039464,0.0010422496,0.00011454646,0.00007796701,0.000032284883,0.00056160276,0.00015369536,0.00023919028],"category_scores_gemma":[0.0021321853,0.00011044487,0.0015620475,0.0011452532,0.0002372199,0.00010559099,0.00007943596,0.0004097524,0.0000036005845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003597128,0.013430163,0.042483814,0.008930608,0.005028177,0.0000019058958,0.021790812,0.0009458065,0.011469425,0.76600087,0.12609535,0.003463337],"study_design_scores_gemma":[0.0015995495,0.0005363566,0.0132686375,0.0009482858,0.0013814227,0.000032613974,0.010926894,0.0011504478,0.028133241,0.94055,0.0010572479,0.0004153041],"about_ca_topic_score_codex":0.000022317303,"about_ca_topic_score_gemma":0.000004016365,"teacher_disagreement_score":0.17454912,"about_ca_system_score_codex":0.00007272952,"about_ca_system_score_gemma":0.000070895236,"threshold_uncertainty_score":0.4503811},"labels":[],"label_agreement":null},{"id":"W2069811654","doi":"10.4153/cmb-2004-030-0","title":"Mean Curvature Comparison with <i>L</i><sup>1</sup>-norms of Ricci Curvature","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Ricci curvature; Curvature; Norm (philosophy); Sectional curvature; Scalar curvature; Constant (computer programming); Pure mathematics; Mathematical analysis; Mean curvature; Geometry; Law","score_opus":0.017601767892189216,"score_gpt":0.2441680264592445,"score_spread":0.2265662585670553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069811654","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81328297,0.0026918408,0.04109431,0.023569768,0.0001986399,0.0026336128,0.00031463892,0.00047018597,0.11574402],"genre_scores_gemma":[0.96817386,0.000010074403,0.028701218,0.0007925926,0.00015547682,0.00003820102,0.00004800849,0.00009723022,0.001983365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99660337,0.00008514949,0.0009496649,0.00056522444,0.0008724877,0.00092409604],"domain_scores_gemma":[0.9968697,0.00042861112,0.0003649876,0.000999919,0.00036532528,0.0009714678],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00069525215,0.0005445665,0.0012655336,0.00050983566,0.00019826356,0.00010723828,0.00068604964,0.00048248246,0.0062027937],"category_scores_gemma":[0.0009276495,0.00038926327,0.00032811883,0.001578865,0.00024743887,0.00008388704,0.00006104177,0.0008895665,0.0014522071],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000091325455,0.0011477816,0.0016260488,0.0013366542,0.0010577387,0.00022329103,0.0062600356,0.0021022172,0.000041032683,0.83114535,0.15385972,0.0011088103],"study_design_scores_gemma":[0.005431721,0.0009697826,0.0008246791,0.0020350805,0.0021746699,0.0003493306,0.0067815245,0.0018369732,0.0010473359,0.5519396,0.4236299,0.0029793628],"about_ca_topic_score_codex":0.0013125355,"about_ca_topic_score_gemma":0.004098785,"teacher_disagreement_score":0.27920574,"about_ca_system_score_codex":0.00026333594,"about_ca_system_score_gemma":0.00040633278,"threshold_uncertainty_score":0.99985594},"labels":[],"label_agreement":null},{"id":"W2070688639","doi":"10.1080/17476930802127073","title":"A Runge theorem for subharmonic functions on Riemannian manifolds","year":2008,"lang":"en","type":"article","venue":"Complex Variables and Elliptic Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Subharmonic; Subharmonic function; Pure mathematics; Riemannian manifold; Mathematical analysis; Nonlinear system","score_opus":0.13559608072629348,"score_gpt":0.30088404653224116,"score_spread":0.16528796580594768,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2070688639","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07129407,0.00046225023,0.9082412,0.0012319018,0.00024123031,0.0008265175,0.00013150621,0.0001686402,0.017402662],"genre_scores_gemma":[0.97893167,0.000085218744,0.014311081,0.0002093558,0.00020689181,0.000120447665,0.00011829635,0.000029342176,0.0059876787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987856,0.000046468293,0.00035609116,0.00030566828,0.00020400112,0.00030216994],"domain_scores_gemma":[0.997827,0.0013943783,0.00012106133,0.00038408954,0.00015601993,0.00011746702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037124258,0.00019134319,0.00031074302,0.00020471336,0.00082980946,0.000066279514,0.00014051392,0.000094649986,0.0006419747],"category_scores_gemma":[0.00040105236,0.00015982673,0.00015081525,0.0005548442,0.000074745316,0.000088868146,0.000034446202,0.00012103613,0.00006484337],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001615467,0.00022853131,0.00015491883,0.000044460023,0.00014381956,0.0000016682085,0.00031808842,0.0001937256,0.00017186523,0.9804711,0.017732995,0.00052272395],"study_design_scores_gemma":[0.0017780892,0.0004967415,0.004095986,0.000073947434,0.0008928709,0.000045496676,0.00092195626,0.11511011,0.000042030137,0.76846546,0.10736937,0.0007079197],"about_ca_topic_score_codex":0.000020455109,"about_ca_topic_score_gemma":0.00002568164,"teacher_disagreement_score":0.9076376,"about_ca_system_score_codex":0.00003793611,"about_ca_system_score_gemma":0.000049048504,"threshold_uncertainty_score":0.7029173},"labels":[],"label_agreement":null},{"id":"W2070882445","doi":"10.48550/arxiv.0911.2037","title":"On long-time existence for the flow of static metrics with rotational symmetry","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Ricci flow; Mathematics; Flow (mathematics); Geometric flow; Singularity; Hypersphere; Mathematical physics; Mathematical analysis; Ricci curvature; Geometry; Curvature","score_opus":0.09090041222113059,"score_gpt":0.22012073001405488,"score_spread":0.1292203177929243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2070882445","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2557657,0.00013976949,0.7409666,0.000105445986,0.00009913046,0.0008439073,0.000114495655,0.000048633385,0.0019163055],"genre_scores_gemma":[0.98312277,0.000068454625,0.013577682,0.00007688911,0.000048377307,0.0000031350346,0.00005659859,0.000026010588,0.003020068],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855405,0.00008814099,0.00029181223,0.0005475462,0.0002706484,0.00024780715],"domain_scores_gemma":[0.99521726,0.0028253198,0.0005685722,0.0008001527,0.00050766376,0.000081053666],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055236166,0.00030110293,0.00055174285,0.00059470104,0.00012845319,0.000043260225,0.0006989459,0.0002029937,0.00010753707],"category_scores_gemma":[0.0007110588,0.00021650651,0.00035702076,0.0019694031,0.000103202525,0.00007547522,0.00014056244,0.00040760342,0.000017249267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00043791844,0.0007394404,0.0013942318,0.0006153009,0.0016704586,0.00006367668,0.00022271548,0.34727877,0.0000027353842,0.64160913,0.0035198801,0.0024457444],"study_design_scores_gemma":[0.0010227449,0.00041102237,0.0022652165,0.00027045028,0.002043058,0.0000026976898,0.0002708263,0.45628455,0.00004445318,0.5367971,0.000100727586,0.00048710458],"about_ca_topic_score_codex":0.000017319531,"about_ca_topic_score_gemma":0.00002269061,"teacher_disagreement_score":0.7273889,"about_ca_system_score_codex":0.0001266997,"about_ca_system_score_gemma":0.00015577623,"threshold_uncertainty_score":0.8828879},"labels":[],"label_agreement":null},{"id":"W2071120320","doi":"10.5402/2011/879042","title":"On the Geometry of Almost -Manifolds","year":2011,"lang":"en","type":"article","venue":"ISRN Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Geometry; Geology; Mathematics","score_opus":0.06491080506252474,"score_gpt":0.2694120028838945,"score_spread":0.20450119782136977,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071120320","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9301677,0.00023614164,0.0021465502,0.00015017395,0.00026155682,0.00020960906,0.00002017366,0.00006646987,0.06674166],"genre_scores_gemma":[0.9953287,0.00002665935,0.0015763914,0.0003435131,0.00009699575,0.000013377037,0.000004505099,0.0000370342,0.0025727863],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979896,0.000088322864,0.0005322928,0.00032188438,0.0006632936,0.00040460884],"domain_scores_gemma":[0.99722093,0.0011251535,0.00033440653,0.0010417545,0.00017923431,0.00009854375],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011351435,0.0002567609,0.00047573866,0.00076891953,0.00012011602,0.000026101354,0.00066844426,0.00018741247,0.00552954],"category_scores_gemma":[0.001678646,0.0001587293,0.00034368673,0.0034833902,0.00010543597,0.000094150346,0.00013630973,0.00035664806,0.00036774293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009136413,0.0015514843,0.024194455,0.00017793606,0.00093296374,0.000032042066,0.00130543,0.0000068826494,0.00041731104,0.89881134,0.0641156,0.008363205],"study_design_scores_gemma":[0.0020457115,0.0015113502,0.15788473,0.00034599126,0.0013295079,0.00006277726,0.0075178063,0.0003465995,0.02640179,0.78070337,0.019909937,0.0019404126],"about_ca_topic_score_codex":0.00007243005,"about_ca_topic_score_gemma":0.000022766128,"teacher_disagreement_score":0.13369028,"about_ca_system_score_codex":0.00003113747,"about_ca_system_score_gemma":0.000029516403,"threshold_uncertainty_score":0.99537957},"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,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_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","score_opus":0.03033170703763779,"score_gpt":0.2391437676731728,"score_spread":0.208812060635535,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071493211","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.581768,0.024331387,0.38726676,0.0019350314,0.00032559587,0.00042254114,0.00038435456,0.00007129896,0.0034950515],"genre_scores_gemma":[0.98379946,0.00009778867,0.004646677,0.00005899641,0.00025371753,0.000026660155,0.0001130807,0.000017460578,0.010986136],"study_design_codex":"not_applicable","study_design_gemma":"observational","domain_scores_codex":[0.99810594,0.000027379998,0.0005568455,0.00040156065,0.00061136554,0.00029688],"domain_scores_gemma":[0.9965339,0.0022532304,0.00024634757,0.00048891414,0.00041223035,0.00006540469],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009023867,0.00023864134,0.0006023571,0.0015323997,0.00025349503,0.00010973382,0.0002353192,0.00015033114,0.0005636505],"category_scores_gemma":[0.00071827316,0.0001458423,0.0008879091,0.012100153,0.00012092988,0.00007450466,0.00010238362,0.00017263602,0.000006364165],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004304633,0.0010818525,0.3670409,0.00038117086,0.027800309,0.0000066469424,0.0001459488,0.014142108,0.00020412904,0.17396043,0.40890807,0.0058979546],"study_design_scores_gemma":[0.0021158508,0.00031580095,0.6758594,0.000028436974,0.042150237,0.000022588936,0.0009183266,0.05508505,0.0001102594,0.14397992,0.07844439,0.0009697454],"about_ca_topic_score_codex":0.0003255374,"about_ca_topic_score_gemma":0.00026008097,"teacher_disagreement_score":0.4020315,"about_ca_system_score_codex":0.000031315416,"about_ca_system_score_gemma":0.000038910577,"threshold_uncertainty_score":0.61715776},"labels":[],"label_agreement":null},{"id":"W2071498792","doi":"10.1007/s00208-011-0675-y","title":"Affine normal surfaces with simply-connected smooth locus","year":2011,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Contractible space; Quotient; Affine transformation; Normal surface; Fundamental group; Pure mathematics; Locus (genetics); Algebraic surface; Gravitational singularity; Germ; Algebraic number; Algebraic group; Group (periodic table); Surface (topology); Mathematical analysis; Geometry","score_opus":0.06973384630039477,"score_gpt":0.2609189490213419,"score_spread":0.19118510272094713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071498792","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89380866,0.00033874207,0.013447646,0.00026650625,0.000066085566,0.00041549932,0.000021775793,0.0003383776,0.091296725],"genre_scores_gemma":[0.9507483,0.000029759733,0.041908424,0.00012524004,0.00013095546,0.00004060559,0.000014737613,0.00007362553,0.0069283154],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99795634,0.000076982746,0.0005098006,0.00040582367,0.0005231103,0.0005279341],"domain_scores_gemma":[0.99826753,0.00026268882,0.00032876272,0.00072108634,0.0002463917,0.0001735139],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00058841176,0.000372861,0.0006343315,0.00025183932,0.00014127496,0.00007460416,0.00045731667,0.00015402671,0.0042325975],"category_scores_gemma":[0.00031424518,0.00025129493,0.00017724259,0.0010835015,0.00008727428,0.00033209115,0.000105479136,0.00027470678,0.0003558115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015236121,0.010494062,0.049801297,0.00396174,0.008709474,0.0011895428,0.051888965,0.00015504206,0.0043462724,0.44493622,0.36289737,0.06009643],"study_design_scores_gemma":[0.0152476635,0.0054849074,0.09598499,0.002158506,0.007076684,0.0010457169,0.014958744,0.00817651,0.06340466,0.6107158,0.16439518,0.0113506075],"about_ca_topic_score_codex":0.00009809538,"about_ca_topic_score_gemma":0.00022892616,"teacher_disagreement_score":0.19850217,"about_ca_system_score_codex":0.000017726708,"about_ca_system_score_gemma":0.0000424459,"threshold_uncertainty_score":0.9999939},"labels":[],"label_agreement":null},{"id":"W2072218004","doi":"10.4153/cmb-2003-013-4","title":"On Frankel’s Theorem","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Ricci curvature; Manifold (fluid mechanics); Pure mathematics; Curvature; Sectional curvature; Scalar curvature; Geometry","score_opus":0.02009317300486058,"score_gpt":0.24453498173405172,"score_spread":0.22444180872919114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072218004","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.075992875,0.00011016738,0.010242881,0.0035531751,0.00014842459,0.00038816553,0.0000147517785,0.00010398608,0.9094456],"genre_scores_gemma":[0.9763356,0.0000030896992,0.0066016465,0.001977015,0.00005642287,0.00003119454,0.0000036923484,0.000050447958,0.014940887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982381,0.00013303237,0.00037200446,0.00031303437,0.00036124888,0.0005825778],"domain_scores_gemma":[0.997558,0.001014381,0.00007295268,0.00059399096,0.00007830356,0.00068236265],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008548953,0.0002448027,0.00040640967,0.00031164216,0.0001622925,0.000083897125,0.00025755863,0.00018059436,0.10924347],"category_scores_gemma":[0.005444688,0.00019179657,0.00020742792,0.00049941114,0.00007519243,0.000018544297,0.000010733686,0.00030172648,0.025745686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000018492714,0.000064276435,0.00001111437,0.00002843048,0.000034434594,0.000027592105,0.00007448121,0.0000017616956,0.0000024283104,0.88490963,0.1145589,0.00028509967],"study_design_scores_gemma":[0.00019295211,0.000036521684,0.000017218992,0.000039269366,0.000045711262,0.000016955608,0.0001345726,0.000036081194,0.000052197425,0.7758465,0.2233637,0.00021835811],"about_ca_topic_score_codex":0.00010533759,"about_ca_topic_score_gemma":0.00035230388,"teacher_disagreement_score":0.9003427,"about_ca_system_score_codex":0.00012372203,"about_ca_system_score_gemma":0.00012184213,"threshold_uncertainty_score":0.9750129},"labels":[],"label_agreement":null},{"id":"W2075438223","doi":"10.1016/j.crma.2009.06.020","title":"Uniqueness of unbounded solutions of the Lagrangian mean curvature flow equation for graphs","year":2009,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Uniqueness; Pure mathematics; Flow (mathematics); Mathematical analysis; Nonlinear system; Lagrangian; Humanities; Geometry","score_opus":0.05997607767226187,"score_gpt":0.29329614614445326,"score_spread":0.2333200684721914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075438223","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34686762,0.002182159,0.63884217,0.0038072376,0.0005527206,0.0024236573,0.0002981374,0.00021269821,0.0048136385],"genre_scores_gemma":[0.9688343,0.000032311113,0.030735472,0.00007662116,0.000037001097,0.000026446096,0.0000431973,0.000017450771,0.00019721682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984324,0.0001487791,0.0006365958,0.00020031,0.00033553588,0.00024635956],"domain_scores_gemma":[0.9977989,0.0004835925,0.00058619544,0.0006419809,0.00043923958,0.000050099887],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007089295,0.00019825272,0.0005078432,0.00023113102,0.00015886553,0.000026206135,0.00037528356,0.00020994534,0.00007658096],"category_scores_gemma":[0.00051877956,0.00013727733,0.00042244061,0.001247962,0.00008189398,0.00010359994,0.000045352772,0.00020512346,0.0000018873022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028813243,0.00048901944,0.0002479725,0.00033998446,0.00022554088,4.5306336e-7,0.0014561311,0.0005507756,0.005599431,0.9735711,0.013522098,0.0039686663],"study_design_scores_gemma":[0.0006578246,0.00014796694,0.0049592615,0.0002838091,0.00039943514,0.000006160251,0.00030940594,0.018258085,0.009301158,0.9642403,0.001154471,0.0002820998],"about_ca_topic_score_codex":0.00001871997,"about_ca_topic_score_gemma":0.00006731603,"teacher_disagreement_score":0.62196666,"about_ca_system_score_codex":0.000036129913,"about_ca_system_score_gemma":0.000074704054,"threshold_uncertainty_score":0.5598007},"labels":[],"label_agreement":null},{"id":"W2076717605","doi":"10.1142/s1793525311000672","title":"LENGTHS OF SIMPLE PERIODIC GEODESICS ON TWO-DIMENSIONAL RIEMANNIAN SPHERES","year":2011,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Geodesic; SPHERES; Mathematics; Simple (philosophy); Geodesic map; Pure mathematics; Mathematical analysis; Physics","score_opus":0.04173101420225272,"score_gpt":0.30375184666192306,"score_spread":0.26202083245967034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076717605","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9961155,0.00053742906,0.0017929586,0.00014951367,0.00005781269,0.000023718845,0.0000054842467,0.000003977981,0.0013135977],"genre_scores_gemma":[0.9943158,0.000037663238,0.005223899,0.00011350261,0.00007121031,4.1469582e-7,0.0000021076023,0.000006685607,0.00022870184],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986635,0.00012547057,0.0006438591,0.00013579044,0.0002667061,0.00016471832],"domain_scores_gemma":[0.9984261,0.0003010682,0.0007193262,0.00020353435,0.0002483714,0.000101592035],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005953515,0.00013627611,0.00077617343,0.0006099095,0.000090941285,0.00001014369,0.00016264898,0.00011119671,0.0022342228],"category_scores_gemma":[0.00032020247,0.000094665345,0.0005346399,0.0008083771,0.00016393326,0.000080353464,0.000035243986,0.00024332842,0.000003206196],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012224643,0.003259231,0.785149,0.00019613278,0.03782544,0.00047396385,0.0057543353,0.0032286,0.0010188638,0.1269924,0.013057444,0.021822115],"study_design_scores_gemma":[0.0063924333,0.004922977,0.31804115,0.00017385776,0.055133533,0.0004872208,0.011377257,0.010078917,0.006330606,0.58198434,0.0035269815,0.0015507435],"about_ca_topic_score_codex":0.000079504774,"about_ca_topic_score_gemma":0.00016131067,"teacher_disagreement_score":0.46710783,"about_ca_system_score_codex":0.000012607069,"about_ca_system_score_gemma":0.000036744375,"threshold_uncertainty_score":0.99867785},"labels":[],"label_agreement":null},{"id":"W2077688369","doi":"10.4153/cjm-2010-013-4","title":"A Second Order Smooth Variational Principle on Riemannian Manifolds","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Thompson Rivers University","funders":"","keywords":"Mathematics; Sectional curvature; Order (exchange); Bounded function; Variational principle; Curvature of Riemannian manifolds; Riemannian geometry; Ricci-flat manifold; Regular polygon; Pure mathematics; Mathematical analysis; Curvature; Riemannian manifold; Scalar curvature; Geometry","score_opus":0.02656300601240481,"score_gpt":0.26984997092185165,"score_spread":0.24328696490944685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077688369","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.848896,0.00046598585,0.05929978,0.0044227396,0.000828129,0.00052496017,0.00007546708,0.000044306118,0.085442595],"genre_scores_gemma":[0.9150661,0.000005094368,0.08069305,0.00083862845,0.000377315,0.0000016025824,0.000004303938,0.000032639655,0.0029812453],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99816984,0.000047563044,0.0007882293,0.00013739841,0.0004937151,0.00036323292],"domain_scores_gemma":[0.99767596,0.0002636219,0.00062891236,0.00034755803,0.00051036564,0.0005735738],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010215234,0.00021440032,0.00049132516,0.00067408197,0.00015259489,0.0001348998,0.00039225127,0.00014429023,0.0023129566],"category_scores_gemma":[0.001281305,0.00017218386,0.0002246182,0.00072886504,0.000029751402,0.00015364995,0.0000072225753,0.00035921126,0.00006070877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011687732,0.00048221144,0.00044380443,0.00013095228,0.0003465688,0.00033574717,0.002370018,0.00023889265,0.00004738989,0.9400571,0.053660754,0.0018748456],"study_design_scores_gemma":[0.0017654058,0.0010041374,0.012713984,0.00048109505,0.0005461933,0.0006631664,0.0011428186,0.0025990945,0.00018162178,0.8311039,0.14695527,0.0008432934],"about_ca_topic_score_codex":0.000026842905,"about_ca_topic_score_gemma":0.0026290317,"teacher_disagreement_score":0.1089532,"about_ca_system_score_codex":0.0001769916,"about_ca_system_score_gemma":0.0007615422,"threshold_uncertainty_score":0.99859905},"labels":[],"label_agreement":null},{"id":"W2077785138","doi":"10.2478/s11533-007-0026-0","title":"On canonical screen for lightlike submanifolds of codimension two","year":2007,"lang":"en","type":"article","venue":"Central European Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Codimension; Linear subspace; Pure mathematics; Integrable system; Mathematics; Variety (cybernetics); Mathematical analysis","score_opus":0.040272619124365146,"score_gpt":0.3024250410880484,"score_spread":0.26215242196368327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077785138","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74189436,0.00018478616,0.24984156,0.000119967066,0.00032114307,0.0002501031,0.000013829277,0.000018557272,0.0073557124],"genre_scores_gemma":[0.9060777,0.00002471561,0.09322491,0.00007063171,0.00027989334,2.0120021e-7,0.0000026548641,0.000052380485,0.00026690552],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972065,0.00012946344,0.0014813822,0.00013535612,0.0006359467,0.0004113317],"domain_scores_gemma":[0.99644905,0.0011800833,0.0013246553,0.00032150073,0.0004779133,0.00024680726],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004589695,0.00021048749,0.0006486645,0.00028186763,0.00006332824,0.000030160501,0.00039607607,0.000048138234,0.000080645994],"category_scores_gemma":[0.0014637401,0.00014848409,0.00048776786,0.00034280494,0.000053883963,0.00007841823,0.000047176894,0.00026525278,0.000012112596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010653419,0.006678405,0.00078274036,0.0014508924,0.0018123608,0.0008114031,0.0041725393,0.0005811847,0.013386896,0.87510663,0.07578337,0.01836823],"study_design_scores_gemma":[0.06132899,0.026019601,0.026049314,0.012302333,0.01377024,0.0035940853,0.013379022,0.014026991,0.15029842,0.58423,0.088664696,0.006336321],"about_ca_topic_score_codex":0.0000012134469,"about_ca_topic_score_gemma":0.0000061552996,"teacher_disagreement_score":0.29087666,"about_ca_system_score_codex":0.000059802227,"about_ca_system_score_gemma":0.000057391266,"threshold_uncertainty_score":0.6055006},"labels":[],"label_agreement":null},{"id":"W2077941705","doi":"10.4153/cmb-2005-055-5","title":"On the Regularity of the <i>s</i>-Differential Metric","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; University of Isfahan","keywords":"Mathematics; Injective function; Pure mathematics; Metric (unit); Differential (mechanical device)","score_opus":0.0203957547546654,"score_gpt":0.23126593830406544,"score_spread":0.21087018354940004,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077941705","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72215533,0.00018573977,0.0040975516,0.09179469,0.00022842933,0.0010989745,0.00005782541,0.0000623894,0.18031906],"genre_scores_gemma":[0.98994267,0.0000021119242,0.000921772,0.001321825,0.000111528745,0.000018989027,0.0000013190214,0.00002174709,0.0076580653],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982828,0.00015930504,0.00044150115,0.00020452526,0.0005354169,0.00037644952],"domain_scores_gemma":[0.9972059,0.0014204693,0.0001608574,0.00087975565,0.000100002995,0.00023301649],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007305401,0.00018803342,0.00035479333,0.00020256516,0.00020908401,0.000050992,0.0006887146,0.0001353431,0.03975796],"category_scores_gemma":[0.0040715123,0.00009299302,0.0003309227,0.0009722535,0.00015254572,0.000014698806,0.00006278286,0.00036251757,0.0015734249],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002911402,0.00010140363,0.000016962731,0.000034813704,0.000060690407,0.0000012239353,0.00009282374,0.000005769099,0.000020154637,0.81468874,0.18436337,0.0006111588],"study_design_scores_gemma":[0.0005548293,0.00007059682,0.0011365575,0.00019859127,0.0004509625,0.000022532677,0.00026736455,0.0011855294,0.002161351,0.71640694,0.2770496,0.0004951731],"about_ca_topic_score_codex":0.00021660434,"about_ca_topic_score_gemma":0.0011952379,"teacher_disagreement_score":0.2677873,"about_ca_system_score_codex":0.00011127395,"about_ca_system_score_gemma":0.0001007001,"threshold_uncertainty_score":0.999204},"labels":[],"label_agreement":null},{"id":"W2078905101","doi":"10.1007/s00209-010-0749-7","title":"Flowers on Riemannian manifolds","year":2010,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Geodesic; Mathematics; Combinatorics; Riemannian manifold; Vertex (graph theory); Dimension (graph theory); Minimal volume; Geodesic map; Manifold (fluid mechanics); Geometry; Mathematical analysis; Scalar curvature; Sectional curvature; Graph","score_opus":0.017029061162760706,"score_gpt":0.267968541297988,"score_spread":0.2509394801352273,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078905101","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.275981,0.004396543,0.011810668,0.005459896,0.014851572,0.0030017614,0.00037227912,0.0011756364,0.6829506],"genre_scores_gemma":[0.9378733,0.00022015405,0.031382315,0.0009407476,0.0034635705,0.00011558739,0.00009988439,0.00038720705,0.025517259],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9936544,0.0002072809,0.0016079616,0.0013175097,0.001790837,0.0014220508],"domain_scores_gemma":[0.9940015,0.0010924974,0.00086571474,0.002958064,0.0003597822,0.00072241656],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0022811054,0.0012388431,0.0016818529,0.00090457336,0.0005869442,0.0007083714,0.0014424373,0.0012499815,0.01447022],"category_scores_gemma":[0.002278858,0.001037283,0.001071114,0.0019052046,0.00024253367,0.0003856472,0.00035318904,0.0028138491,0.026850093],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064319924,0.0019453092,0.00026473717,0.00086383923,0.00156106,0.00019502296,0.00242797,0.000017756598,0.0020533116,0.8287152,0.1555013,0.006390172],"study_design_scores_gemma":[0.0017337216,0.0004378413,0.0007204256,0.0005876875,0.0021996081,0.000065874505,0.00080554764,0.0028410873,0.0029604305,0.011838683,0.97385466,0.0019544081],"about_ca_topic_score_codex":0.00003871875,"about_ca_topic_score_gemma":0.00009793659,"teacher_disagreement_score":0.81835335,"about_ca_system_score_codex":0.000014076759,"about_ca_system_score_gemma":0.0001667257,"threshold_uncertainty_score":0.9994867},"labels":[],"label_agreement":null},{"id":"W2079031335","doi":"10.4153/cmb-2010-052-7","title":"Einstein-Like Lorentz Metrics and Three-Dimensional Curvature Homogeneity of Order One","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Lorentz transformation; Einstein; Homogeneous; Homogeneity (statistics); Curvature; Degenerate energy levels; Mathematical physics; Pure mathematics; Mathematical analysis; Geometry; Classical mechanics; Physics; Combinatorics; Quantum mechanics","score_opus":0.022120069901841705,"score_gpt":0.23999646995343454,"score_spread":0.21787640005159284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079031335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9772708,0.0008342021,0.005298438,0.004167878,0.00030360586,0.0005949654,0.00008764065,0.00006504515,0.011377442],"genre_scores_gemma":[0.92718005,0.000012228272,0.069690466,0.00047427375,0.00014542272,0.000017769764,0.000025623707,0.00005931699,0.0023948182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99788785,0.000049441336,0.00058619096,0.00038853558,0.0005787736,0.00050921045],"domain_scores_gemma":[0.99729425,0.0007299226,0.00019587678,0.00062695076,0.0004023929,0.00075060496],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00090239197,0.0002909101,0.0006884491,0.0005356218,0.00015984644,0.000059812977,0.00031828327,0.00038587683,0.011348975],"category_scores_gemma":[0.0024825563,0.0002450093,0.00016479207,0.001268404,0.00023595718,0.00004371977,0.000071498405,0.0006487932,0.0004619158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024277551,0.0008206602,0.0021071981,0.0007920444,0.0005972501,0.0000632173,0.00024501,0.000006332037,0.00077608053,0.927329,0.059903514,0.0073354184],"study_design_scores_gemma":[0.0023027107,0.0002961717,0.0075080004,0.00036645553,0.0015765708,0.00020046344,0.0002000749,0.004281946,0.0011282462,0.58603746,0.394152,0.0019498911],"about_ca_topic_score_codex":0.0014122048,"about_ca_topic_score_gemma":0.024588497,"teacher_disagreement_score":0.34129152,"about_ca_system_score_codex":0.00004070254,"about_ca_system_score_gemma":0.00025185535,"threshold_uncertainty_score":0.9991188},"labels":[],"label_agreement":null},{"id":"W2080500119","doi":"10.1063/1.1380441","title":"Ricci-flat warped products and Painlevé analysis","year":2001,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Dimension (graph theory); Mathematics; Einstein; Ricci curvature; Product (mathematics); Mathematical physics; Ricci flow; Pure mathematics; Mathematical analysis; Geometry; Curvature","score_opus":0.042924136850644494,"score_gpt":0.29494719393367475,"score_spread":0.25202305708303024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2080500119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65501624,0.00039327264,0.33980682,0.001200792,0.00008185574,0.00015990251,0.0000022531854,0.00003022565,0.0033086315],"genre_scores_gemma":[0.94832265,0.000118250355,0.050066784,0.00009275691,0.0005511771,0.0000021420724,0.000001425581,0.000026707665,0.00081811077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978115,0.0001035462,0.0008748076,0.00019375895,0.00074056326,0.00027581595],"domain_scores_gemma":[0.9974605,0.00076424994,0.0007033087,0.00037783524,0.0005024657,0.00019167311],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013253215,0.00022390325,0.0010033785,0.00030905,0.00008048087,0.000092814575,0.0002405297,0.000093746174,0.00018174773],"category_scores_gemma":[0.001692848,0.00015074285,0.00046789087,0.002510893,0.00007133264,0.00027401623,0.000063637744,0.00034898057,0.000023708562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004445681,0.007843437,0.017827984,0.0026545557,0.027999077,0.000789789,0.008107229,0.0009741119,0.0042071044,0.8088087,0.053333726,0.06700975],"study_design_scores_gemma":[0.0006732468,0.0001774964,0.0010314399,0.00008807651,0.0054074684,0.00016156583,0.00041957767,0.007381244,0.0003938189,0.9820877,0.001844658,0.00033372274],"about_ca_topic_score_codex":9.1204265e-7,"about_ca_topic_score_gemma":9.128425e-7,"teacher_disagreement_score":0.2933064,"about_ca_system_score_codex":0.000036267116,"about_ca_system_score_gemma":0.000037870046,"threshold_uncertainty_score":0.6147115},"labels":[],"label_agreement":null},{"id":"W2081532433","doi":"10.4153/cmb-2007-047-4","title":"On Willmore's Inequality for Submanifolds","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China; Southwest University; National Science Foundation","keywords":"Mathematics; Scalar curvature; Submanifold; Willmore energy; Ball (mathematics); Mean curvature; Curvature; Pure mathematics; Euclidean geometry; Mathematical analysis; Euclidean space; Geometry; Mean curvature flow","score_opus":0.040071358790864174,"score_gpt":0.30451502984539913,"score_spread":0.264443671054535,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081532433","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4296356,0.00011178282,0.3738272,0.012370854,0.0003842641,0.0020469315,0.00017283898,0.0002659804,0.18118455],"genre_scores_gemma":[0.97634935,0.0000011135498,0.016372973,0.002034718,0.00021367955,0.000043542226,0.000024958561,0.000053287862,0.0049063647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979137,0.0000388709,0.00058674015,0.0003412625,0.0003560597,0.0007633592],"domain_scores_gemma":[0.9961648,0.0022665353,0.00011929023,0.000532912,0.00015579634,0.00076065474],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0024625077,0.00024713046,0.0004659418,0.00037145216,0.00017248106,0.00006947672,0.00030003308,0.0002221674,0.010588429],"category_scores_gemma":[0.0049138106,0.00020450406,0.00026656315,0.00044563325,0.000059620394,0.000022755581,0.000019776142,0.00021208095,0.0026074375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019659807,0.00011091304,0.000050786482,0.00013136481,0.000051351075,0.000024502788,0.000105871586,8.8839136e-7,0.0000069243406,0.90480745,0.09343388,0.0012564007],"study_design_scores_gemma":[0.0004890801,0.000132441,0.0004257613,0.00006863605,0.000100481906,0.00001192725,0.00023546877,0.00013838147,0.00011906312,0.80985755,0.18802881,0.00039242287],"about_ca_topic_score_codex":0.00048921705,"about_ca_topic_score_gemma":0.0045764064,"teacher_disagreement_score":0.5467137,"about_ca_system_score_codex":0.0002085734,"about_ca_system_score_gemma":0.00009108957,"threshold_uncertainty_score":0.9981691},"labels":[],"label_agreement":null},{"id":"W2081909402","doi":"10.2140/pjm.2002.203.139","title":"Lagrangian sections and holomorphic U(1)-connections","year":2002,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Fibration; Mathematics; Holomorphic function; Lagrangian; Equivalence (formal languages); Pure mathematics; Torus; Hamiltonian (control theory); Mathematical physics; Mathematical analysis; Homotopy; Geometry","score_opus":0.04947129000719566,"score_gpt":0.26004855940353916,"score_spread":0.2105772693963435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081909402","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7944267,0.0051868376,0.1427391,0.003289214,0.001010672,0.00039976032,0.00002463726,0.00012815112,0.052794974],"genre_scores_gemma":[0.9661712,0.00047284772,0.030941656,0.000020436912,0.00019217882,0.0000025382278,4.6237668e-7,0.000025004452,0.0021736908],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985535,0.00006133602,0.00069031306,0.00011313731,0.00037605717,0.00020562843],"domain_scores_gemma":[0.99814284,0.00059548084,0.00056959427,0.0002611272,0.0002779275,0.00015301783],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086074567,0.00016368863,0.00046098427,0.0004498916,0.00017622132,0.00009190824,0.0001557993,0.00010470224,0.00060862914],"category_scores_gemma":[0.00092693727,0.00012372374,0.00023034576,0.0007403545,0.000068920795,0.00017753293,0.000025828173,0.00035472598,0.000044731936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043335716,0.01213156,0.008683617,0.0023774425,0.0058797384,0.00051324826,0.061311573,0.0003746273,0.0026864766,0.5202813,0.356939,0.028778063],"study_design_scores_gemma":[0.0042051454,0.0012502251,0.0010368229,0.00088984746,0.0041864677,0.014214799,0.0755022,0.023736008,0.0007708627,0.80184734,0.070648946,0.0017113313],"about_ca_topic_score_codex":0.0000015063962,"about_ca_topic_score_gemma":0.0000053439967,"teacher_disagreement_score":0.28629005,"about_ca_system_score_codex":0.000030153107,"about_ca_system_score_gemma":0.000011247503,"threshold_uncertainty_score":0.6664062},"labels":[],"label_agreement":null},{"id":"W2082028790","doi":"10.1007/s00039-014-0259-6","title":"Distributional Limits of Riemannian Manifolds and Graphs with Sublinear Genus Growth","year":2014,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Sublinear function; Bounded function; Planar graph; Combinatorics; Discrete mathematics; Graph; Limit (mathematics); 1-planar graph; Chordal graph; Pure mathematics; Mathematical analysis","score_opus":0.01791816960010248,"score_gpt":0.2201662716212639,"score_spread":0.20224810202116142,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082028790","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.786066,0.0016164737,0.2106065,0.00034097733,0.00005218626,0.000086665284,0.00010829912,0.000042605,0.0010803117],"genre_scores_gemma":[0.9966663,0.00014141809,0.0021254818,0.000046180696,0.000093948714,0.000008249245,0.00017243464,0.000012692322,0.0007332834],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.998247,0.00004908944,0.0003987998,0.0004292774,0.0006421849,0.00023360731],"domain_scores_gemma":[0.99845576,0.00054127414,0.00019986217,0.00021012154,0.00042822585,0.0001647628],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006826569,0.00022162354,0.00058261835,0.0027418549,0.0001562536,0.00007582368,0.00008155232,0.0001140984,0.00024476246],"category_scores_gemma":[0.0004244722,0.00015495592,0.00027101405,0.012277858,0.00013693418,0.00012810998,0.000049296093,0.00015579652,0.000008105995],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015387987,0.0004122839,0.5319882,0.00027717344,0.009815394,0.0000089554105,0.00006809974,0.00020094626,0.000028689155,0.4458594,0.0045438074,0.0066431654],"study_design_scores_gemma":[0.0010024182,0.00042518385,0.91119707,0.000025715413,0.011884142,0.000050116763,0.00017579665,0.009709718,0.00006536496,0.060580306,0.004321116,0.00056302926],"about_ca_topic_score_codex":0.000091767106,"about_ca_topic_score_gemma":0.0000418193,"teacher_disagreement_score":0.3852791,"about_ca_system_score_codex":0.000017912886,"about_ca_system_score_gemma":0.000021107824,"threshold_uncertainty_score":0.63189197},"labels":[],"label_agreement":null},{"id":"W2083012290","doi":"10.1063/1.3486690","title":"Canonical surfaces associated with projectors in Grassmannian sigma models","year":2010,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Science and Technology Facilities Council; Université de Montréal; Durham University","keywords":"Gaussian curvature; Sigma; Harmonic map; Constant curvature; Curvature; Constant (computer programming); Sequence (biology); Grassmannian","score_opus":0.04443442750448168,"score_gpt":0.28969270216880805,"score_spread":0.24525827466432637,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083012290","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97697127,0.000018116736,0.019801436,0.00020924248,0.00007581517,0.00015379151,0.0000029517187,0.000018277466,0.0027490938],"genre_scores_gemma":[0.98493075,0.0000034579755,0.014707732,0.000027810602,0.00014129683,0.0000035830942,0.0000011852096,0.000033103814,0.0001510875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976972,0.00009394521,0.0008477669,0.00015985708,0.00087237085,0.0003288853],"domain_scores_gemma":[0.9973507,0.0011240377,0.00070230785,0.0002800708,0.00037774257,0.00016513222],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013708973,0.00022888568,0.0008358643,0.00017031496,0.000048172693,0.00007599092,0.0003492056,0.00017172859,0.000078200785],"category_scores_gemma":[0.0014373388,0.00014217276,0.00025022548,0.0009737324,0.00009972183,0.00036522574,0.000040650182,0.001062426,0.000005371704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002951882,0.012982071,0.01029905,0.00061857083,0.0020497462,0.0004456736,0.007288762,0.0060946876,0.0033145372,0.94640493,0.006533334,0.0036734194],"study_design_scores_gemma":[0.0010282324,0.00023352422,0.0013392528,0.0002528352,0.0002647583,0.000042101598,0.00031781523,0.021019876,0.00024279239,0.9749391,0.000043658405,0.00027604616],"about_ca_topic_score_codex":0.0000056914027,"about_ca_topic_score_gemma":0.00010235765,"teacher_disagreement_score":0.028534148,"about_ca_system_score_codex":0.00006187843,"about_ca_system_score_gemma":0.00019351732,"threshold_uncertainty_score":0.5797637},"labels":[],"label_agreement":null},{"id":"W2083411489","doi":"10.4153/cmb-2004-060-x","title":"A Compactness Theorem for Yang-Mills Connections","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Compact space; Riemannian manifold; Vector bundle; Pure mathematics; Bounded function; Topology (electrical circuits); Manifold (fluid mechanics); Compactness theorem; Norm (philosophy); Curvature; Dimension (graph theory); Yang–Mills existence and mass gap; Mathematical analysis; Combinatorics; Gauge theory; Brouwer fixed-point theorem; Geometry; Mathematical physics","score_opus":0.033422266800159826,"score_gpt":0.27872763652455124,"score_spread":0.2453053697243914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083411489","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23952898,0.00039398257,0.5718916,0.05408071,0.0005265393,0.003178927,0.00036643518,0.000454148,0.12957865],"genre_scores_gemma":[0.97183233,0.0000035319608,0.023397263,0.0010813887,0.00018024404,0.00014480468,0.000023971377,0.00005822329,0.0032782105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983925,0.000037332014,0.00042950828,0.00030105846,0.00023171517,0.0006078635],"domain_scores_gemma":[0.9977016,0.0008924767,0.00009981449,0.00045546892,0.00018695524,0.00066367676],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006048977,0.00023889981,0.00049569143,0.00031568957,0.00028504813,0.00011084901,0.0002888577,0.00017470004,0.0101258885],"category_scores_gemma":[0.0026037812,0.00019801127,0.00029901796,0.0005165575,0.000108833425,0.000032932527,0.000019991348,0.00018987898,0.0029622554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005156592,0.00010754268,0.000007470815,0.000102574864,0.000084711515,0.000010287761,0.0002528098,0.000029962783,0.000015858735,0.9666221,0.032438695,0.00032279716],"study_design_scores_gemma":[0.0007366418,0.00006220014,0.000039818897,0.00009338639,0.00015550811,0.000038758026,0.000592836,0.00014172691,0.00010427994,0.8652404,0.13248363,0.00031081514],"about_ca_topic_score_codex":0.00063774607,"about_ca_topic_score_gemma":0.0031941538,"teacher_disagreement_score":0.7323034,"about_ca_system_score_codex":0.00025256033,"about_ca_system_score_gemma":0.00023658338,"threshold_uncertainty_score":0.99781406},"labels":[],"label_agreement":null},{"id":"W2084024669","doi":"10.1134/s1063776111140068","title":"Mean curvature flow of a hyperbolic surface","year":2011,"lang":"en","type":"article","venue":"Journal of Experimental and Theoretical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Curvature; Cylinder; Surface (topology); Mathematical analysis; Flow (mathematics); Mathematics; Free surface; Perturbation (astronomy); Physics; Mean curvature flow; Geometry; Mechanics; Mean curvature; Quantum mechanics","score_opus":0.03040301468168593,"score_gpt":0.27529777046710385,"score_spread":0.24489475578541792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084024669","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98739713,0.0017349971,0.0032810755,0.000029087465,0.00011017674,0.000054274075,0.0000040672535,0.000005921486,0.007383295],"genre_scores_gemma":[0.9862904,0.000031925876,0.013455934,0.000040186653,0.00014158463,3.8767678e-7,5.3482887e-7,0.0000142361905,0.00002483191],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897856,0.00006001985,0.0004035033,0.000100075566,0.0003122182,0.00014565645],"domain_scores_gemma":[0.99919266,0.00012211519,0.0002801937,0.00014503386,0.00013455955,0.00012544234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002804806,0.00014189263,0.0004459037,0.000039968418,0.00003516059,0.00001316819,0.0001565136,0.00007327656,0.0002937822],"category_scores_gemma":[0.00006448332,0.00009306647,0.00023032252,0.00024025084,0.0002995578,0.00012483807,0.000059067013,0.0002202259,0.0000022530387],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010708445,0.000703597,0.00022236166,0.00001832061,0.0001729132,0.000008655464,0.002967213,0.0000015299257,0.015031723,0.97988886,0.00020309098,0.00067464844],"study_design_scores_gemma":[0.0007163466,0.00058198423,0.00016584786,0.00006603403,0.0002167602,0.00004997938,0.001930845,0.00049491425,0.16967382,0.8258307,0.00010069947,0.00017206412],"about_ca_topic_score_codex":0.0000021906394,"about_ca_topic_score_gemma":1.0474811e-7,"teacher_disagreement_score":0.15464209,"about_ca_system_score_codex":0.000012233155,"about_ca_system_score_gemma":0.00001658191,"threshold_uncertainty_score":0.37951404},"labels":[],"label_agreement":null},{"id":"W2084787917","doi":"10.1063/1.2912325","title":"Gravitational and harmonic oscillator potentials on surfaces of revolution","year":2008,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Harmonic oscillator; Generalization; Constant (computer programming); Harmonic; Gravitational potential; Central force; Gravitation; Surface of revolution; Surface (topology); Motion (physics)","score_opus":0.05416316959810344,"score_gpt":0.29332962732523105,"score_spread":0.2391664577271276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084787917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9724271,0.00022936978,0.026544852,0.00018157918,0.000055514094,0.0000714343,0.0000051044776,0.0000055158725,0.00047952982],"genre_scores_gemma":[0.9747812,0.000084350366,0.02483887,0.000022175873,0.00012932919,6.363483e-7,7.0964273e-7,0.00001144587,0.00013128929],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99836326,0.00006287763,0.0006794143,0.00008956125,0.0006847581,0.000120126446],"domain_scores_gemma":[0.9979946,0.000714987,0.000707724,0.00013817268,0.00036008173,0.00008441524],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005856633,0.00011996267,0.00053200003,0.00010556919,0.00006421275,0.000011940191,0.0001118686,0.00006132768,0.000056577886],"category_scores_gemma":[0.00083700597,0.00008372594,0.00022892281,0.00031273003,0.0001034863,0.00014255341,0.000022637352,0.00017791576,0.000009661953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020261781,0.0031196505,0.001493334,0.0010024944,0.0011338185,0.000041238556,0.0021145318,0.0005425899,0.015404865,0.9491602,0.023046004,0.0027386283],"study_design_scores_gemma":[0.000529221,0.00027081254,0.0042027556,0.00017599275,0.00023247735,0.00010222693,0.00014343583,0.0009233187,0.0019089818,0.9913034,0.00008259056,0.00012477576],"about_ca_topic_score_codex":5.445694e-7,"about_ca_topic_score_gemma":1.0598372e-7,"teacher_disagreement_score":0.042143185,"about_ca_system_score_codex":0.00002442357,"about_ca_system_score_gemma":0.000048268306,"threshold_uncertainty_score":0.34142447},"labels":[],"label_agreement":null},{"id":"W2085178309","doi":"10.4153/cmb-2011-027-1","title":"Nonconstant Continuous Functions whose Tangential Derivative Vanishes along a Smooth Curve","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Fonds De La Recherche Scientifique - FNRS","keywords":"Mathematics; Derivative (finance); Function (biology); Simple (philosophy); Mathematical analysis; Continuous function (set theory)","score_opus":0.04345450106364489,"score_gpt":0.24076303950384637,"score_spread":0.19730853844020146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085178309","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40990692,0.0005312151,0.10135236,0.0029702643,0.00069541385,0.0017974207,0.00029233343,0.00042003996,0.48203403],"genre_scores_gemma":[0.9753311,0.000007379874,0.01681871,0.00051852764,0.00017129375,0.00009750681,0.000022317128,0.00007367513,0.006959455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9974646,0.00013413675,0.00072277465,0.00047587988,0.00039692174,0.0008056688],"domain_scores_gemma":[0.9975007,0.00049196585,0.00021560835,0.00062598434,0.00027054505,0.0008951528],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00065870903,0.00037792153,0.0007033286,0.00039200747,0.00029687362,0.0001232747,0.00039663425,0.00024629373,0.061866973],"category_scores_gemma":[0.0018533036,0.00032498702,0.00032239663,0.0007261992,0.00023061945,0.00007861286,0.00006548287,0.0003814803,0.007368215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006346326,0.0010371235,0.003053905,0.0002631605,0.0012624261,0.0007425609,0.007224418,0.0000012445577,0.000082435494,0.59342206,0.38727453,0.0055726888],"study_design_scores_gemma":[0.0022455095,0.00056279585,0.0044078766,0.0005085986,0.0020870613,0.0002479717,0.013725325,0.00045436455,0.00049904955,0.48113328,0.49149883,0.0026293367],"about_ca_topic_score_codex":0.0034859194,"about_ca_topic_score_gemma":0.011067425,"teacher_disagreement_score":0.5654242,"about_ca_system_score_codex":0.00018897599,"about_ca_system_score_gemma":0.00028547773,"threshold_uncertainty_score":0.9999202},"labels":[],"label_agreement":null},{"id":"W2085707064","doi":"10.9734/bjmcs/2015/12737","title":"Three Dimensional Trans-Sasakian Manifold Admitting Quarter Symmetric Metric Connection","year":2014,"lang":"en","type":"article","venue":"British Journal of Mathematics & Computer Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Quarter (Canadian coin); Connection (principal bundle); Metric connection; Metric (unit); Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Topology (electrical circuits); Combinatorics; Geometry; Fundamental theorem of Riemannian geometry; History; Economics; Engineering; Operations management","score_opus":0.021170075659732803,"score_gpt":0.2520973864719837,"score_spread":0.2309273108122509,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085707064","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2938333,0.00027864598,0.7047663,0.000103756065,0.000560187,0.000110977686,0.0000013915786,0.000029973493,0.00031547865],"genre_scores_gemma":[0.714056,0.000009758348,0.2854223,0.000095771466,0.00037595516,0.0000015001448,4.0021357e-7,0.000018372759,0.000019932013],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9958925,0.00008905542,0.0012717517,0.00037274824,0.0018742245,0.00049968954],"domain_scores_gemma":[0.99602264,0.0011321398,0.0011249902,0.00037102678,0.0010371874,0.0003120175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006357279,0.00024089753,0.00072564307,0.0016250273,0.00041883366,0.000641911,0.0010051762,0.00010207933,0.000082494764],"category_scores_gemma":[0.0018808434,0.00022299074,0.00038532037,0.0048441165,0.0001360046,0.0006886841,0.000119862285,0.00047692048,0.000017285443],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039485338,0.0058518946,0.00335909,0.0013071918,0.0010065656,0.00075131253,0.003930859,0.002607306,0.0012522643,0.17145896,0.022902675,0.7855324],"study_design_scores_gemma":[0.0026858505,0.0014412213,0.017128883,0.0017509824,0.0006797324,0.012711471,0.00041399745,0.7440876,0.00057527545,0.21644603,0.0009006556,0.0011783509],"about_ca_topic_score_codex":0.0000159266,"about_ca_topic_score_gemma":0.000026724489,"teacher_disagreement_score":0.78435403,"about_ca_system_score_codex":0.00009809284,"about_ca_system_score_gemma":0.0001254805,"threshold_uncertainty_score":0.90932983},"labels":[],"label_agreement":null},{"id":"W2086203084","doi":"10.1007/s10474-008-7221-8","title":"Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds","year":2008,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Cauchy–Riemann equations; Mathematics; Pure mathematics; Invariant (physics); Cauchy distribution; Mathematical analysis; Riemann hypothesis; Class (philosophy); Characterization (materials science); Mathematical physics; Physics; Computer science","score_opus":0.05301970608627916,"score_gpt":0.28995453955773215,"score_spread":0.236934833471453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086203084","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96121097,0.0006308519,0.004648011,0.0019010997,0.00055814476,0.00091575994,0.000054365817,0.00038444166,0.029696332],"genre_scores_gemma":[0.9591295,0.00022320247,0.02877946,0.0003189602,0.0001978403,0.000063532105,0.00003123481,0.00011323447,0.011143001],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.993212,0.00027095547,0.0020439373,0.0010505894,0.002200304,0.0012222218],"domain_scores_gemma":[0.99520576,0.00083287765,0.0013030241,0.0017075853,0.00044812093,0.00050266075],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0024742675,0.00071899366,0.0016400699,0.0012048054,0.0006498876,0.000115132294,0.0017593717,0.00083645445,0.0014759856],"category_scores_gemma":[0.0017659504,0.00059023354,0.00081314595,0.0040427013,0.00053806015,0.0006578802,0.00055738876,0.0010289443,0.00029049363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012167904,0.003011827,0.00748001,0.0016243231,0.0018359909,0.0001812574,0.011806197,0.000019119803,0.028332612,0.60742223,0.33739075,0.00077398424],"study_design_scores_gemma":[0.009997641,0.0010882299,0.029200235,0.0013748773,0.0055757887,0.0019290345,0.0038930518,0.009934501,0.06618286,0.6874656,0.17575261,0.0076055415],"about_ca_topic_score_codex":0.00003503528,"about_ca_topic_score_gemma":0.000024434961,"teacher_disagreement_score":0.16163816,"about_ca_system_score_codex":0.00012022369,"about_ca_system_score_gemma":0.00021127399,"threshold_uncertainty_score":0.9996549},"labels":[],"label_agreement":null},{"id":"W2086609809","doi":"10.1007/s00209-009-0604-x","title":"A note on singular time of mean curvature flow","year":2009,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mean curvature flow; Submanifold; Sectional curvature; Scalar curvature; Infinity; Riemannian manifold; Curvature; Bounded function; Mathematical analysis; Mean curvature; Singularity; Manifold (fluid mechanics); Flow (mathematics); Ricci curvature; Riemann curvature tensor; Pure mathematics; Geometry","score_opus":0.014129421931826567,"score_gpt":0.26114022762340083,"score_spread":0.24701080569157427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086609809","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13216959,0.08103599,0.21870343,0.016265228,0.0053572324,0.009410381,0.0015995642,0.00220479,0.5332538],"genre_scores_gemma":[0.82331705,0.00044542114,0.15784127,0.0016384044,0.001960519,0.000028047516,0.00026108808,0.00031939978,0.01418883],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9938087,0.00033966327,0.0018736251,0.0010333705,0.0018876295,0.0010570517],"domain_scores_gemma":[0.99452,0.0009343413,0.0013544863,0.0022730168,0.0005179915,0.00040014976],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0019437362,0.0011026243,0.0023825124,0.00085514825,0.0002638025,0.00023021213,0.0010778349,0.0010337471,0.0031522],"category_scores_gemma":[0.0019869544,0.000909409,0.0011935632,0.0024676437,0.00014730898,0.0002954539,0.0001577631,0.0013108003,0.004941897],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005954722,0.012060848,0.00007672409,0.0036940523,0.005380075,0.00039608593,0.02943105,0.0010356479,0.01669567,0.5643589,0.272661,0.093614474],"study_design_scores_gemma":[0.009089627,0.0061441846,0.0011682627,0.011494276,0.016402954,0.0001422369,0.0010546363,0.15676557,0.042808615,0.08850269,0.6591345,0.007292414],"about_ca_topic_score_codex":0.000008893606,"about_ca_topic_score_gemma":0.000003363706,"teacher_disagreement_score":0.69114745,"about_ca_system_score_codex":0.000023580891,"about_ca_system_score_gemma":0.00016126201,"threshold_uncertainty_score":0.99933565},"labels":[],"label_agreement":null},{"id":"W2086919486","doi":"10.1016/j.crma.2004.12.008","title":"A theory of anti-selfdual Lagrangians: dynamical case","year":2005,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mathematical physics; Mathematical analysis; Lagrangian; Pure mathematics","score_opus":0.029836770518688188,"score_gpt":0.2879090439241674,"score_spread":0.2580722734054792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086919486","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9615393,0.0010002786,0.031020347,0.00033479618,0.0000776512,0.00023054826,0.000043950942,0.00014136874,0.0056117475],"genre_scores_gemma":[0.9692273,0.000051229363,0.029872471,0.00007950669,0.00012594441,0.000015211055,0.000014998541,0.000033645687,0.00057969004],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982506,0.00020551565,0.000654558,0.00027575446,0.00030802976,0.00030555925],"domain_scores_gemma":[0.9980272,0.00084378594,0.00029814368,0.0005687204,0.00014788946,0.00011422595],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008125717,0.00024707438,0.00063159916,0.00028286618,0.000084625986,0.00004100846,0.00023419183,0.000202953,0.0019103998],"category_scores_gemma":[0.00043435403,0.00019806907,0.00027788943,0.0006501654,0.000095979965,0.00014156842,0.000096730335,0.00031067728,0.00013264237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047335692,0.0017380406,0.0011967357,0.0005582106,0.00077332795,0.00087409,0.0033695195,0.00024207386,0.0024647785,0.92331463,0.036005884,0.029415395],"study_design_scores_gemma":[0.0076157856,0.0009696039,0.010348537,0.0013949126,0.0034706956,0.019732624,0.013468209,0.14270028,0.015246065,0.7218131,0.05811932,0.005120915],"about_ca_topic_score_codex":0.000017515193,"about_ca_topic_score_gemma":0.000053057232,"teacher_disagreement_score":0.20150155,"about_ca_system_score_codex":0.000043209606,"about_ca_system_score_gemma":0.000035807778,"threshold_uncertainty_score":0.999002},"labels":[],"label_agreement":null},{"id":"W2087272187","doi":"10.1063/1.1996369","title":"Description of surfaces associated with Grassmannian sigma models on Minkowski space","year":2005,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec à Trois-Rivières; Université du Québec à Montréal","funders":"","keywords":"Minkowski space; Sigma; Grassmannian; Scalar (mathematics); Curvature; Space (punctuation); Mean curvature; Scalar curvature; Surface (topology)","score_opus":0.0658642055076385,"score_gpt":0.2742247007537197,"score_spread":0.2083604952460812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087272187","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8080327,0.000071603565,0.18558364,0.00048329507,0.000036747537,0.00013143265,0.000005239679,0.00001795007,0.0056373854],"genre_scores_gemma":[0.9695494,0.000011389456,0.02969207,0.00003967658,0.00016017753,0.0000013584851,0.0000013703088,0.000029451756,0.0005150905],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99772424,0.000095381896,0.00079469057,0.00013000937,0.0010224987,0.0002331892],"domain_scores_gemma":[0.9970613,0.00081053574,0.00119099,0.000264896,0.0005460334,0.00012621026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00091945834,0.00021899996,0.00081258034,0.00014915684,0.000049876504,0.000046583413,0.00024620545,0.00011390355,0.000059924176],"category_scores_gemma":[0.0006587489,0.0001404926,0.00031936498,0.0006268657,0.0000725907,0.0004192307,0.000023729901,0.00036085732,0.000010260739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004224624,0.0116544925,0.0005382922,0.0006625372,0.0028257314,0.000045618905,0.0049272995,0.08235179,0.002763265,0.86772245,0.019884879,0.0062011797],"study_design_scores_gemma":[0.001137512,0.00074844784,0.00031325343,0.0008077065,0.000730342,0.000019991048,0.0004979807,0.05324289,0.002247186,0.9398788,0.000092045346,0.0002838103],"about_ca_topic_score_codex":9.3748446e-7,"about_ca_topic_score_gemma":0.000004666081,"teacher_disagreement_score":0.16151671,"about_ca_system_score_codex":0.000092653456,"about_ca_system_score_gemma":0.000052478757,"threshold_uncertainty_score":0.5729122},"labels":[],"label_agreement":null},{"id":"W2087497508","doi":"10.1142/s0219887809003424","title":"THE CURVATURE HOMOGENEITY BOUND FOR LORENTZIAN FOUR-MANIFOLDS","year":2009,"lang":"en","type":"article","venue":"International Journal of Geometric Methods in Modern Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Homogeneous; Homogeneity (statistics); Mathematics; Manifold (fluid mechanics); Curvature; Pure mathematics; Invariant (physics); Causal structure; Mathematical analysis; Physics; Mathematical physics; Combinatorics; Geometry; Quantum mechanics; Statistics","score_opus":0.09372070972532738,"score_gpt":0.42891642377194866,"score_spread":0.3351957140466213,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087497508","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.037552185,0.001946221,0.95727026,0.0011529071,0.0013517508,0.00020240205,0.000014885963,0.000012348484,0.0004970521],"genre_scores_gemma":[0.54570574,0.00043958804,0.4514705,0.00029861534,0.0016402109,0.000008769871,0.0000063929906,0.000030069716,0.00040011096],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966989,0.0003029351,0.0011409107,0.00025572235,0.0012212946,0.0003801978],"domain_scores_gemma":[0.9931035,0.0036571808,0.0012017256,0.00037179823,0.0015477758,0.00011803378],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0050134957,0.0002674968,0.0005994009,0.000980403,0.00015519127,0.00027505084,0.0014071002,0.0001636193,0.000015600994],"category_scores_gemma":[0.005286996,0.00018320758,0.00068154396,0.0022969202,0.000055360448,0.00035559663,0.00008016626,0.0006220345,0.0000015855453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001848779,0.00054898806,0.0011478857,0.000015562531,0.00074217323,0.000026852747,0.00031467897,0.0013330027,0.0006825728,0.029622192,0.0034657994,0.96191543],"study_design_scores_gemma":[0.0012509277,0.00023020356,0.0036978996,0.00005450579,0.00020478967,0.00006312407,0.0001503825,0.0107667325,0.0015447809,0.97310305,0.008673195,0.00026043382],"about_ca_topic_score_codex":0.000006385291,"about_ca_topic_score_gemma":0.000009090574,"teacher_disagreement_score":0.96165496,"about_ca_system_score_codex":0.00024191268,"about_ca_system_score_gemma":0.00012695207,"threshold_uncertainty_score":0.74709886},"labels":[],"label_agreement":null},{"id":"W2087519141","doi":"10.1090/s0002-9939-2014-12319-7","title":"The determinant on flat conic surfaces with excision of disks","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Université de Montréal","funders":"Achievement Rewards for College Scientists Foundation","keywords":"Mathematics; Gravitational singularity; Moduli space; Conical surface; Conic section; Genus; Boundary (topology); Pure mathematics; Compact space; Surface (topology); Mathematical analysis; Space (punctuation); Geometry","score_opus":0.015095622080516099,"score_gpt":0.26732402713020154,"score_spread":0.2522284050496854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087519141","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99493015,0.00002589094,0.0010366668,0.0006700341,0.000016828077,0.00023807789,0.0000018586516,0.000023326456,0.0030571783],"genre_scores_gemma":[0.9893986,0.000038431932,0.0100945765,0.00006920261,0.00003036693,0.000014678395,1.3503018e-7,0.00002385566,0.00033016384],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99822,0.000021785925,0.00049302244,0.000219908,0.00076064246,0.0002845864],"domain_scores_gemma":[0.99666935,0.0016457732,0.0010325265,0.00031885903,0.00026871555,0.00006479665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012242949,0.00020397613,0.000640621,0.00002269577,0.00021297614,0.000047696492,0.00066072086,0.00004906043,0.000014574019],"category_scores_gemma":[0.0012601332,0.00008305129,0.00044588902,0.0008325635,0.0008825269,0.00006119457,0.00016020991,0.00022909275,0.0000047178473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005073584,0.0014511951,0.01856497,0.0026291243,0.0016795414,3.4670978e-7,0.008282994,0.0000397369,0.025064858,0.8888807,0.021193653,0.031705506],"study_design_scores_gemma":[0.0014113203,0.0024132968,0.015255327,0.0014189895,0.0013279639,0.000024033736,0.016716894,0.03210841,0.04790546,0.8779238,0.0025602363,0.00093428727],"about_ca_topic_score_codex":0.000007829505,"about_ca_topic_score_gemma":0.0000013390518,"teacher_disagreement_score":0.032068674,"about_ca_system_score_codex":0.000029025196,"about_ca_system_score_gemma":0.00001705845,"threshold_uncertainty_score":0.33867332},"labels":[],"label_agreement":null},{"id":"W2088076227","doi":"10.1007/s10455-007-9089-1","title":"On Noether’s connection","year":2007,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Noether's theorem; Connection (principal bundle); Differential geometry; Mathematics; Curvature; Pure mathematics; Lagrangian; Mathematical physics; Mathematical analysis; Geometry; Algebra over a field; Calculus (dental)","score_opus":0.04931966045500863,"score_gpt":0.3605194052493875,"score_spread":0.3111997447943789,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088076227","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96937907,0.00067647087,0.022521738,0.00038067877,0.000047552705,0.000053691587,0.000023263741,0.000024564923,0.0068929866],"genre_scores_gemma":[0.9985768,0.00010130845,0.0005856361,0.0004379235,0.00005344005,9.2778635e-7,0.000010433963,0.0000056903164,0.0002278072],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9984175,0.00004129424,0.000494439,0.00030003523,0.00045272737,0.00029402255],"domain_scores_gemma":[0.99855065,0.00039648113,0.00029099503,0.00033089606,0.00028694738,0.00014400776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015268037,0.00017448705,0.00059423345,0.00052366854,0.000082448736,0.000032852426,0.0001310168,0.0001368361,0.00032216284],"category_scores_gemma":[0.00054901326,0.00013505419,0.0005110358,0.007154369,0.000059192545,0.00007687271,0.00004094485,0.000105382955,0.000012495828],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002361181,0.0013285275,0.47153828,0.000092866925,0.011061418,0.00002110384,0.00008549748,0.00017762868,0.00008702179,0.42059773,0.011682336,0.08309146],"study_design_scores_gemma":[0.00040881668,0.00038838212,0.82929635,0.000027722415,0.0030286447,0.000004890873,0.00054259616,0.00039012625,0.0011043162,0.16255546,0.0018427107,0.00040999628],"about_ca_topic_score_codex":0.00019911207,"about_ca_topic_score_gemma":0.00044328437,"teacher_disagreement_score":0.35775805,"about_ca_system_score_codex":0.0000138446485,"about_ca_system_score_gemma":0.000010291715,"threshold_uncertainty_score":0.550735},"labels":[],"label_agreement":null},{"id":"W2088928001","doi":"10.4153/cmb-2007-033-9","title":"Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is of Codazzi Type","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Canadian Mathematical Society","keywords":"Mathematics; Quaternionic projective space; Projective test; Pure mathematics; Complex projective space; Type (biology); Jacobi operator; Complex space; Projective space; Operator (biology); Space (punctuation); Mathematical analysis; Jacobi polynomials; Computer science; Affine transformation; Chemistry","score_opus":0.034861922431770505,"score_gpt":0.29678879310329326,"score_spread":0.26192687067152276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088928001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9674701,0.00008516178,0.00027365616,0.001711878,0.000054772663,0.0005209753,0.000087290355,0.000026463646,0.029769665],"genre_scores_gemma":[0.98278546,0.000010762291,0.014968991,0.0002838637,0.000056633828,0.000004538849,0.000015173918,0.000039208127,0.001835378],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9979474,0.00007253215,0.0006377802,0.00034705573,0.00039937987,0.00059586426],"domain_scores_gemma":[0.99818075,0.00050094083,0.00016376899,0.00043659908,0.00028299986,0.0004349198],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00083618105,0.0002703319,0.0006938592,0.00052094966,0.000075649295,0.00004464305,0.00032115262,0.00026165036,0.015554991],"category_scores_gemma":[0.0012541106,0.0002253548,0.00011826603,0.0013521018,0.00013327596,0.000036359852,0.00004279253,0.00033166734,0.00045566965],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003125655,0.0010710156,0.013903915,0.0020261097,0.00088028534,0.0005119046,0.022851506,0.000050004994,0.0089444285,0.5411258,0.4056701,0.0026523445],"study_design_scores_gemma":[0.008385285,0.0017677159,0.06653835,0.001799762,0.0014267188,0.00027812956,0.052053977,0.0044203647,0.018907707,0.40791684,0.43041918,0.0060859597],"about_ca_topic_score_codex":0.004252639,"about_ca_topic_score_gemma":0.016208386,"teacher_disagreement_score":0.13320895,"about_ca_system_score_codex":0.00023833032,"about_ca_system_score_gemma":0.00026648428,"threshold_uncertainty_score":0.98534495},"labels":[],"label_agreement":null},{"id":"W2089287565","doi":"10.4153/cmb-2000-011-3","title":"Geometric Meaning of Isoparametric Hypersurfaces in a Real Space Form","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Space form; Space (punctuation); Geodesic; Pure mathematics; Meaning (existential); Manifold (fluid mechanics); Characterization (materials science); Ambient space; Mathematical analysis; Epistemology","score_opus":0.026130193517128128,"score_gpt":0.2547976094458625,"score_spread":0.22866741592873435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089287565","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7721622,0.0002547216,0.00049686554,0.0009850184,0.000028147202,0.0003339903,0.00001514669,0.000040297462,0.22568361],"genre_scores_gemma":[0.9827644,0.000093089744,0.010897409,0.000097181124,0.000034044195,0.000019424064,0.0000047143767,0.00003882107,0.006050882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99761707,0.000078078454,0.00076964614,0.00034728256,0.0004972664,0.00069064857],"domain_scores_gemma":[0.9976899,0.0010945038,0.00014941423,0.00049168605,0.00009846121,0.00047604265],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010581674,0.00026328047,0.000777876,0.0019125798,0.00007225783,0.00005424914,0.00039471086,0.00021737056,0.036982283],"category_scores_gemma":[0.0023049717,0.00023215328,0.00020964767,0.004954368,0.00008771119,0.000056332447,0.000025926076,0.0003150325,0.002517981],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010171506,0.0017780871,0.006566932,0.0015918722,0.0004946795,0.0003772635,0.0044079195,0.00045623933,0.00005763879,0.8614751,0.0706034,0.05208917],"study_design_scores_gemma":[0.0039648884,0.00053943385,0.0067002545,0.0008469143,0.0006229085,0.00013523595,0.0038593998,0.0067530507,0.0004144519,0.8613544,0.11254171,0.0022673653],"about_ca_topic_score_codex":0.0060958806,"about_ca_topic_score_gemma":0.004415182,"teacher_disagreement_score":0.21963273,"about_ca_system_score_codex":0.0002293359,"about_ca_system_score_gemma":0.00014583874,"threshold_uncertainty_score":0.99825865},"labels":[],"label_agreement":null},{"id":"W2089814955","doi":"10.1016/s1631-073x(03)00289-9","title":"The optimal evolution of the free energy of interacting gases and its applications","year":2003,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Mathematics; Type (biology); Mathematical physics; Gaussian; Combinatorics; Calculus (dental); Pure mathematics; Applied mathematics; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.019067970712698966,"score_gpt":0.2615312801622427,"score_spread":0.24246330944954372,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089814955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7074505,0.01941148,0.24959475,0.0006542072,0.00027333567,0.00080035557,0.000053551197,0.000076942626,0.021684855],"genre_scores_gemma":[0.9943594,0.00014580041,0.0051199286,0.0000072862026,0.000018999302,0.000040258346,0.0000010697535,0.0000095411015,0.00029776778],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990684,0.00013935921,0.00038381465,0.00011540947,0.0001767509,0.00011628998],"domain_scores_gemma":[0.99754584,0.001370874,0.00042293908,0.0004685656,0.00016525344,0.000026524858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035840654,0.00010015694,0.0002102166,0.0000633701,0.0001573145,0.00002150382,0.00025294934,0.0000580385,0.000051728453],"category_scores_gemma":[0.0012316871,0.00005725366,0.000096829,0.0004499062,0.000062456995,0.000056222627,0.00010464785,0.00012178137,0.0000012934883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000035074554,0.000092556125,0.0004407951,0.00007898202,0.00008221981,1.477122e-7,0.00019195168,0.00010018588,0.0018962687,0.9926392,0.0033746795,0.0010995117],"study_design_scores_gemma":[0.0017675022,0.0002611432,0.007968421,0.0010470541,0.0010307351,0.00020199365,0.009369192,0.041063264,0.12943071,0.6670827,0.13970773,0.0010695294],"about_ca_topic_score_codex":0.000019566474,"about_ca_topic_score_gemma":0.00003355446,"teacher_disagreement_score":0.3255565,"about_ca_system_score_codex":0.000024002704,"about_ca_system_score_gemma":0.00003558193,"threshold_uncertainty_score":0.23347364},"labels":[],"label_agreement":null},{"id":"W2091788974","doi":"10.1016/j.jde.2013.05.020","title":"On restricted analytic gradients on analytic isolated surface singularities","year":2013,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Junta de Castilla y León","keywords":"Gravitational singularity; Pfaffian; Metric (unit); Singularity; Analytic function; Mathematics; Trajectory; Surface (topology); Function (biology); Mathematical analysis; Component (thermodynamics); Pure mathematics; Physics; Geometry; Quantum mechanics","score_opus":0.0363343517367922,"score_gpt":0.2866862576923434,"score_spread":0.25035190595555123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091788974","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9402076,0.00004345625,0.05816543,0.00040239844,0.00032428364,0.00016234553,0.00000707375,0.00002235535,0.0006650668],"genre_scores_gemma":[0.99775094,0.000012717749,0.00061023247,0.00006304701,0.00013738395,0.0000020493326,0.000012469991,0.000022608328,0.0013885791],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976888,0.00016005673,0.0008843516,0.00017466486,0.0008125592,0.00027961333],"domain_scores_gemma":[0.99701345,0.0010795711,0.0007573527,0.00032692327,0.00063947093,0.0001832618],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001975306,0.00022342805,0.0005535993,0.0008258046,0.00017915534,0.00021625895,0.0002821449,0.00012579026,0.0012363327],"category_scores_gemma":[0.0019978096,0.00016368224,0.0004252008,0.0013149966,0.000039165687,0.0002235909,0.000026241092,0.0004666925,0.00009796966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011829003,0.022670416,0.009809716,0.00047045335,0.016205981,0.00023401581,0.0049547376,0.043910902,0.023136642,0.69066834,0.17346025,0.013295639],"study_design_scores_gemma":[0.006762919,0.005155982,0.0929316,0.0010093694,0.0053367526,0.000048178284,0.001462551,0.33755305,0.000835239,0.5470924,0.00029787485,0.0015140971],"about_ca_topic_score_codex":0.00004171234,"about_ca_topic_score_gemma":0.000018261386,"teacher_disagreement_score":0.29364213,"about_ca_system_score_codex":0.00013376375,"about_ca_system_score_gemma":0.00006629627,"threshold_uncertainty_score":0.99967664},"labels":[],"label_agreement":null},{"id":"W2091816855","doi":"10.1007/s00440-010-0328-1","title":"Properties of isoperimetric, functional and Transport-Entropy inequalities via concentration","year":2010,"lang":"en","type":"article","venue":"Probability Theory and Related Fields","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"University of Toronto","keywords":"Mathematics; Isoperimetric inequality; Sobolev inequality; Concentration of measure; Ricci curvature; Bounded function; Entropy (arrow of time); Curvature; Logarithm; Upper and lower bounds; Mathematical analysis; Sobolev space; Geometry; Thermodynamics","score_opus":0.025117516499063873,"score_gpt":0.23204619992876996,"score_spread":0.20692868342970608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091816855","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9913792,0.0008232767,0.00601271,0.00019239045,0.00014663176,0.00020657529,0.0000030886285,0.000028880579,0.0012072353],"genre_scores_gemma":[0.99890906,0.00006086045,0.00045590947,0.000025225772,0.00002520125,0.0000071260033,0.0000051890647,0.000005799828,0.000505625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904156,0.00014165677,0.00037254312,0.00018920506,0.00013993832,0.00011508597],"domain_scores_gemma":[0.9992746,0.0002846634,0.000110110195,0.0001652117,0.000114738876,0.000050658648],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012381104,0.00011198966,0.0002434341,0.000066155415,0.000085416905,0.000014975981,0.000049922666,0.00028167013,0.000446868],"category_scores_gemma":[0.0005920887,0.00007587318,0.000067843044,0.00026070807,0.00025461812,0.000128242,0.000017390066,0.0003747384,0.0000011094293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023895956,0.00022452603,0.0065208394,0.00033148023,0.00017131527,7.5803155e-7,0.0026661486,0.000009853201,0.010646568,0.97673815,0.000030979743,0.0024204035],"study_design_scores_gemma":[0.0005336778,0.00012328319,0.0044821687,0.000030040012,0.00018908188,0.000015014638,0.0004517883,0.00049544947,0.00961416,0.9837517,0.0001421913,0.00017140404],"about_ca_topic_score_codex":0.000015528687,"about_ca_topic_score_gemma":0.0000120456325,"teacher_disagreement_score":0.007529852,"about_ca_system_score_codex":0.00000437164,"about_ca_system_score_gemma":0.000020754293,"threshold_uncertainty_score":0.48928913},"labels":[],"label_agreement":null},{"id":"W2093715253","doi":"10.1007/s002220100139","title":"Manifolds and graphs with slow heat kernel decay","year":2001,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":121,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Heat kernel; Mathematics; Kernel (algebra); Upper and lower bounds; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.03232686512160141,"score_gpt":0.27067119504239195,"score_spread":0.23834432992079055,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093715253","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9347595,0.00043001218,0.04308007,0.00050835096,0.00006110368,0.00034261608,0.0000037296616,0.00017132053,0.02064332],"genre_scores_gemma":[0.9766959,0.00009759516,0.017659118,0.0000886355,0.00005366919,0.000047159043,0.000008446678,0.000043712505,0.005305794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849474,0.000048369344,0.0004218427,0.00031000093,0.00042745355,0.00029760646],"domain_scores_gemma":[0.99894804,0.00021362922,0.00012931897,0.00045239087,0.00011550354,0.00014109928],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045231017,0.00024330172,0.00043288316,0.00027530818,0.0001578369,0.000118825374,0.00016827963,0.00010122582,0.00056337385],"category_scores_gemma":[0.00010003939,0.00017073385,0.00015532169,0.0008745651,0.00009052424,0.00020354446,0.000056532946,0.00012824284,0.000097700125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032222084,0.00062419736,0.007129967,0.0003763775,0.00038572098,0.00006619394,0.00058615184,0.000004536029,0.00017507128,0.9848588,0.004397659,0.0013630975],"study_design_scores_gemma":[0.000914615,0.00013352679,0.0035147914,0.0002733207,0.0004729427,0.00042543744,0.0007567746,0.0010148203,0.00018815433,0.9897748,0.0021017503,0.0004290586],"about_ca_topic_score_codex":0.000014825354,"about_ca_topic_score_gemma":0.00005568829,"teacher_disagreement_score":0.04193639,"about_ca_system_score_codex":0.00001882848,"about_ca_system_score_gemma":0.000014050305,"threshold_uncertainty_score":0.6962325},"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,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_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","score_opus":0.01495889414669828,"score_gpt":0.22392554051781957,"score_spread":0.20896664637112128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094424829","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56012493,0.0059105107,0.4308689,0.0013991696,0.000086168984,0.00015827795,0.00005984195,0.000030755105,0.0013614695],"genre_scores_gemma":[0.9915768,0.0002303776,0.006253351,0.00008953179,0.00007093295,0.000016533135,0.000028283775,0.000008845214,0.0017253297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99865013,0.00004542053,0.00039580886,0.0002802883,0.00046939144,0.00015894271],"domain_scores_gemma":[0.9986633,0.00074147445,0.00016408553,0.00018794449,0.00017091901,0.00007224451],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007259122,0.00014476669,0.00046631508,0.0018004248,0.00012762431,0.000056980254,0.00007047132,0.000070684844,0.00039332686],"category_scores_gemma":[0.0004875123,0.000087335626,0.00034592036,0.008465241,0.00021244668,0.00010872914,0.00005421434,0.00012810502,0.00001377062],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013790813,0.0014135238,0.28816894,0.0007674269,0.054351225,0.000041551295,0.0023693156,0.022954518,0.00018062774,0.54498404,0.014510373,0.06887939],"study_design_scores_gemma":[0.0041848905,0.00021143565,0.45592198,0.000023470287,0.018705636,0.0000270592,0.0019069493,0.026200222,0.00003308803,0.48916855,0.0030679808,0.0005487335],"about_ca_topic_score_codex":0.00013976097,"about_ca_topic_score_gemma":0.000019646077,"teacher_disagreement_score":0.4314519,"about_ca_system_score_codex":0.000021912367,"about_ca_system_score_gemma":0.000026505037,"threshold_uncertainty_score":0.4306653},"labels":[],"label_agreement":null},{"id":"W2096927879","doi":"10.1155/s0161171204403342","title":"Screen conformal half‐lightlike submanifolds","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu; University of Windsor","keywords":"Conformal map; Mathematics; Submanifold; Sectional curvature; Pure mathematics; Conformal geometry; Integrable system; Riemann curvature tensor; Distribution (mathematics); Operator (biology); Ricci curvature; Mathematical analysis; Curvature; Ricci decomposition; Class (philosophy); Riemannian manifold; Manifold (fluid mechanics); Curvature of Riemannian manifolds; Geometry; Scalar curvature; Conformal field theory","score_opus":0.040489390370814136,"score_gpt":0.323233160112506,"score_spread":0.2827437697416919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096927879","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7144056,0.00044035204,0.25105155,0.0057053356,0.0005877294,0.00025081632,0.000009916831,0.00004863206,0.02750009],"genre_scores_gemma":[0.78948635,0.000096524134,0.20989011,0.0001399477,0.0002277773,0.0000022634613,6.850217e-7,0.000012728009,0.00014361975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99706113,0.000019439816,0.0010234975,0.00016487167,0.0014655648,0.00026548895],"domain_scores_gemma":[0.9978991,0.0005515342,0.0007246467,0.000141954,0.00049272313,0.00019000254],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002131816,0.00019853808,0.0004972169,0.00038352958,0.0001354434,0.000332258,0.00080899376,0.00009108921,0.00029537547],"category_scores_gemma":[0.0012338677,0.00012554495,0.00022840057,0.0003527977,0.00030276718,0.00052433665,0.00014603307,0.00020056967,0.000027664613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000059974586,0.00041954734,0.00005649183,0.000051370505,0.00017289609,0.00004032804,0.00083379337,0.000027936083,0.00016869174,0.9962684,0.00028718868,0.0016673525],"study_design_scores_gemma":[0.00076821813,0.0002242294,0.00007669131,0.00028498968,0.00011710875,0.0008568123,0.0016220585,0.0007341738,0.0006972809,0.9932787,0.0011489214,0.00019083713],"about_ca_topic_score_codex":0.000010176325,"about_ca_topic_score_gemma":0.0000093318695,"teacher_disagreement_score":0.07508075,"about_ca_system_score_codex":0.000051284263,"about_ca_system_score_gemma":0.000112637026,"threshold_uncertainty_score":0.5119574},"labels":[],"label_agreement":null},{"id":"W2097237186","doi":"10.1017/s0956792513000247","title":"(In-)stability of singular equivariant solutions to the Landau–Lifshitz–Gilbert equation","year":2013,"lang":"en","type":"preprint","venue":"European Journal of Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Equivariant map; Saddle point; Harmonic map; Mathematics; Manifold (fluid mechanics); Stable manifold; Saddle; Symmetry (geometry); Instability; Stability (learning theory); Scale (ratio); Mathematical analysis; Pure mathematics; Physics; Geometry; Quantum mechanics","score_opus":0.08759456117965486,"score_gpt":0.2816244553621581,"score_spread":0.19402989418250322,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2097237186","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21152262,0.00035955827,0.72931516,0.0029123388,0.00087451685,0.0017417849,0.000033937955,0.000036923502,0.05320313],"genre_scores_gemma":[0.7819718,0.00005754621,0.21693648,0.00016523743,0.00055582,0.000015279238,0.000007869221,0.00010207391,0.00018787455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954732,0.00032005744,0.0025168632,0.00029582586,0.0010045219,0.00038954712],"domain_scores_gemma":[0.9946164,0.00086759997,0.0026009677,0.0011470288,0.0006023934,0.00016560905],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.008975286,0.00039362028,0.0011727188,0.0005085956,0.000097252945,0.00013766767,0.0011742949,0.00013038186,0.00029808472],"category_scores_gemma":[0.0017869415,0.000256235,0.00048554505,0.00071444246,0.00008079754,0.00008378192,0.000790539,0.0011019853,0.00009350319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029405483,0.0066813356,0.000104517676,0.006762845,0.00301616,0.00018924983,0.07665039,0.025821896,0.0064755427,0.79207605,0.07052223,0.011405726],"study_design_scores_gemma":[0.002076464,0.0004362748,0.000705,0.0023877004,0.002470141,0.00010432357,0.005885198,0.015006725,0.001999228,0.95194083,0.015606026,0.0013820858],"about_ca_topic_score_codex":0.000007950421,"about_ca_topic_score_gemma":0.0000103872,"teacher_disagreement_score":0.5704492,"about_ca_system_score_codex":0.00013887904,"about_ca_system_score_gemma":0.00015870137,"threshold_uncertainty_score":0.999989},"labels":[],"label_agreement":null},{"id":"W2098314550","doi":"10.1139/p2012-070","title":"Expansion-free cylindrically symmetric models","year":2012,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Boundary value problem; Tensor (intrinsic definition); Distribution (mathematics); Anisotropy; Exact solutions in general relativity; Boundary (topology); Energy (signal processing); Shell (structure)","score_opus":0.0530112099364685,"score_gpt":0.2580562178337014,"score_spread":0.20504500789723293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2098314550","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56626016,0.009584698,0.3415617,0.0014705651,0.0030273942,0.00033198582,0.000068072935,0.000037567635,0.07765785],"genre_scores_gemma":[0.989166,0.000018431108,0.009210091,0.00018596966,0.0011129846,9.2115073e-7,0.0000014868554,0.000025212574,0.00027888452],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855256,0.0000517137,0.000445272,0.000083109466,0.00039877137,0.0004685995],"domain_scores_gemma":[0.99762315,0.00021419943,0.00034839538,0.000379464,0.0004128869,0.0010219206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005861514,0.00014908769,0.00038190786,0.00048397123,0.00010747739,0.00005619794,0.0004755005,0.00009584907,0.00012639692],"category_scores_gemma":[0.0007928477,0.00012057749,0.0002988954,0.0015389204,0.000036370348,0.0005384188,0.000021722923,0.00034988608,0.00002364563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000081387825,0.00023928659,0.0031042562,0.000048993934,0.00039874093,0.000061495586,0.001809947,0.0007794002,0.000052845266,0.8816724,0.069200665,0.042623863],"study_design_scores_gemma":[0.0010167985,0.00016387606,0.0027020841,0.00010134985,0.0006605597,0.00015052111,0.0007732193,0.0035316444,0.00031628908,0.974029,0.015981335,0.0005732974],"about_ca_topic_score_codex":0.0003578907,"about_ca_topic_score_gemma":0.0005642925,"teacher_disagreement_score":0.42290583,"about_ca_system_score_codex":0.00014414739,"about_ca_system_score_gemma":0.0005386444,"threshold_uncertainty_score":0.49170074},"labels":[],"label_agreement":null},{"id":"W2100481694","doi":"10.1007/s12220-008-9050-y","title":"Neck Pinching Dynamics under Mean Curvature Flow","year":2008,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Differential geometry; Mathematics; Curvature; Mean curvature flow; Surface of revolution; Flow (mathematics); Geometry; Motion (physics); Mathematical analysis; Dynamics (music); Fourier analysis; Point (geometry); Mean curvature; Classical mechanics; Fourier transform; Physics; Surface (topology)","score_opus":0.030148772029485665,"score_gpt":0.27564377416951547,"score_spread":0.2454950021400298,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2100481694","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4945815,0.002515764,0.5003057,0.00047120525,0.0002566276,0.00007536334,0.000013680803,0.00003474505,0.001745396],"genre_scores_gemma":[0.95738876,0.00065707584,0.039080966,0.00018514275,0.00043686357,0.0000012293924,0.000021045977,0.000039448394,0.002189448],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.995532,0.0001793314,0.0016021257,0.0003484267,0.0018176133,0.00052055385],"domain_scores_gemma":[0.99518,0.00083363865,0.0018142377,0.00066238974,0.001142148,0.00036759587],"candidate_categories":["metaepi_narrow","bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.0017804741,0.00039234242,0.0017154462,0.009979324,0.00033704255,0.000110344285,0.0007719057,0.00030053788,0.0007676919],"category_scores_gemma":[0.001969075,0.00029463967,0.0023567588,0.036536705,0.00008076176,0.00049569784,0.000108988934,0.0010031849,0.00002513313],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00036567386,0.0049153655,0.48064372,0.00031496942,0.12259045,0.002013813,0.0036045073,0.1948,0.00007166363,0.016087638,0.117288485,0.057303693],"study_design_scores_gemma":[0.00775563,0.0016754839,0.35350153,0.0002622225,0.10975322,0.002995875,0.0076782107,0.43105072,0.00015729458,0.06003517,0.02078615,0.00434848],"about_ca_topic_score_codex":0.000057201545,"about_ca_topic_score_gemma":0.00014119386,"teacher_disagreement_score":0.4628073,"about_ca_system_score_codex":0.00037895865,"about_ca_system_score_gemma":0.00014608407,"threshold_uncertainty_score":0.9999506},"labels":[],"label_agreement":null},{"id":"W2103520583","doi":"10.1139/p07-146","title":"Some applications of Ricci flow in physics","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Ricci flow; Flow (mathematics); Soliton; Sigma; Nonlinear system; Sigma model","score_opus":0.03212799869074029,"score_gpt":0.24915810868900934,"score_spread":0.21703010999826905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2103520583","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7964721,0.0044921725,0.19161443,0.0006617555,0.00058471906,0.00062130246,0.00014212103,0.00001866073,0.0053927465],"genre_scores_gemma":[0.99286807,0.0000595803,0.005958028,0.000060254788,0.00086206023,0.0000033943932,0.000003450063,0.000016628266,0.0001685558],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990145,0.00002898344,0.00044494652,0.000082801576,0.00022250967,0.00020624016],"domain_scores_gemma":[0.9987689,0.000101570244,0.00037231942,0.00022386554,0.00028852315,0.00024478702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018383373,0.00010533689,0.00037798306,0.00023053121,0.00006715967,0.000010471162,0.00025278013,0.000056932255,0.00003333111],"category_scores_gemma":[0.00009430469,0.000096835334,0.00020368153,0.0011972848,0.00007367986,0.00019004702,0.000007535693,0.00025414588,0.000008610188],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032296837,0.0015497721,0.07473327,0.00048080535,0.00114513,0.00046285274,0.012587675,0.015259822,0.0008198922,0.6189068,0.07459321,0.1994285],"study_design_scores_gemma":[0.001582506,0.00018293795,0.009941942,0.00016879606,0.0003342252,0.000113097325,0.0008106813,0.002641051,0.0023829737,0.9598898,0.021365263,0.00058671396],"about_ca_topic_score_codex":0.0005458305,"about_ca_topic_score_gemma":0.0015067356,"teacher_disagreement_score":0.34098303,"about_ca_system_score_codex":0.0000946251,"about_ca_system_score_gemma":0.0006907089,"threshold_uncertainty_score":0.39488304},"labels":[],"label_agreement":null},{"id":"W2105197067","doi":"10.4153/s0008439521000989","title":"On pull-backs of the universal connection","year":2021,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Vector bundle; Grassmannian; Mathematics; Curvature; Bundle; Normal bundle; Pure mathematics; Parallel transport; Metric connection; Vector-valued differential form; Tautological line bundle; Frame bundle; Metric (unit); Topology (electrical circuits); Riemann curvature tensor; Base (topology); Geometry; Mathematical analysis; Combinatorics; Scalar curvature; Fundamental theorem of Riemannian geometry","score_opus":0.023108368662269178,"score_gpt":0.24431931111254446,"score_spread":0.22121094245027528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105197067","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79824007,0.00029447873,0.0075549334,0.015240074,0.0012490241,0.0014008359,0.00017214914,0.000092229646,0.17575622],"genre_scores_gemma":[0.9916678,0.000009872507,0.0021470343,0.0004979734,0.00010900582,0.000023646166,0.000029508006,0.0000509655,0.0054641897],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978545,0.00020684546,0.00057818065,0.00044142135,0.0005267091,0.0003923858],"domain_scores_gemma":[0.9970257,0.0008288306,0.00034990124,0.0011849357,0.00027039397,0.0003402258],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005633344,0.0003325916,0.00075411773,0.00029693116,0.00012600457,0.00010146772,0.0006369503,0.00054111273,0.024895964],"category_scores_gemma":[0.0035460077,0.00024319341,0.00059337774,0.0005149529,0.0001321735,0.0000120710765,0.00024574826,0.00096754014,0.00056487607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011453689,0.0002743844,0.00004652517,0.0010202591,0.00040202338,0.000059317583,0.000659296,0.00018922947,0.000018791568,0.86946106,0.12733205,0.00052561105],"study_design_scores_gemma":[0.0005332495,0.0000785106,0.00030341512,0.0020765096,0.0009200563,0.00003446026,0.0021605843,0.0010105169,0.00036513532,0.9623438,0.02930211,0.00087162905],"about_ca_topic_score_codex":0.0017317514,"about_ca_topic_score_gemma":0.004090764,"teacher_disagreement_score":0.19342774,"about_ca_system_score_codex":0.00034654659,"about_ca_system_score_gemma":0.0006176028,"threshold_uncertainty_score":0.991714},"labels":[],"label_agreement":null},{"id":"W2106806677","doi":"10.1515/forum-2013-0084","title":"Small covers, infra-solvmanifolds and curvature","year":2014,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Natural Science Foundation of China","keywords":"Diffeomorphism; Sectional curvature; Cover (algebra); Curvature; Covering space; Manifold (fluid mechanics)","score_opus":0.02728248484460815,"score_gpt":0.2472456246306305,"score_spread":0.21996313978602233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2106806677","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51816845,0.0011250149,0.36395314,0.0038667507,0.0007018066,0.0011844814,0.000027351645,0.0007592379,0.11021377],"genre_scores_gemma":[0.92486537,0.000030862844,0.06738942,0.00072369317,0.00020943653,0.00003673322,0.000012637265,0.00007381686,0.0066580446],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983401,0.000063709056,0.0004519454,0.00034040006,0.0003426957,0.00046116923],"domain_scores_gemma":[0.9982696,0.0006192006,0.00026194018,0.000595435,0.00009641091,0.0001574049],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078072207,0.00029836976,0.00056706276,0.00020229834,0.00016680441,0.00015120639,0.00027349868,0.00021531263,0.00028249557],"category_scores_gemma":[0.0012083218,0.00022874691,0.00017474551,0.0004883313,0.000054951597,0.00016257913,0.00016488717,0.00025714753,0.0001272543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000107322185,0.0002018941,0.0014843283,0.00047723827,0.00021078091,0.000004812884,0.0007742303,0.000006680118,0.00016506162,0.94370216,0.050565284,0.002396808],"study_design_scores_gemma":[0.000747936,0.00015048748,0.0005948737,0.00018585053,0.00034270156,0.000050843617,0.0008121477,0.00792938,0.00026957155,0.91706747,0.071293205,0.0005555232],"about_ca_topic_score_codex":0.000010052843,"about_ca_topic_score_gemma":0.00004287272,"teacher_disagreement_score":0.4066969,"about_ca_system_score_codex":0.000024909898,"about_ca_system_score_gemma":0.00001633594,"threshold_uncertainty_score":0.9328028},"labels":[],"label_agreement":null},{"id":"W2109239550","doi":"10.1134/s0081543807040062","title":"Shock waves for the Burgers equation and curvatures of diffeomorphism groups","year":2007,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Clay Mathematics Institute","keywords":"Diffeomorphism; Submanifold; Inviscid flow; Mathematics; Burgers' equation; Geodesic; Euler equations; Shock (circulatory); Conjugate points; Mathematical analysis; Group (periodic table); Space (punctuation); Simple (philosophy); Classical mechanics; Physics; Differential equation","score_opus":0.04393943571003701,"score_gpt":0.2769001557425876,"score_spread":0.23296072003255058,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109239550","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96030116,0.0005366703,0.036006514,0.00038492354,0.00026498534,0.0009309048,0.000019286823,0.000019893227,0.0015356598],"genre_scores_gemma":[0.9497108,0.00006453916,0.049801264,0.000017418004,0.00007732068,0.000014156815,0.0000013287887,0.00002222682,0.00029098705],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99814117,0.000004387005,0.00089074933,0.00016876897,0.00057326496,0.00022168526],"domain_scores_gemma":[0.99694467,0.0009376693,0.0012941746,0.0002496765,0.0005296971,0.0000440952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001960438,0.00020649254,0.0005753778,0.00018185917,0.0001332657,0.000024948984,0.00051824196,0.00013446146,0.0000067507513],"category_scores_gemma":[0.0026016312,0.0001126476,0.0002905002,0.00064766756,0.00036965264,0.00019968084,0.0001508856,0.00015487506,2.2846493e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008351214,0.00048688246,0.0029155242,0.0055068466,0.000713118,1.8074972e-7,0.005872639,0.000029862751,0.01831965,0.95871097,0.003117172,0.004243616],"study_design_scores_gemma":[0.0024600462,0.00047913988,0.008084321,0.0018943727,0.0032510217,0.000035695004,0.017410766,0.010533773,0.16968478,0.78113496,0.0042628227,0.00076831924],"about_ca_topic_score_codex":0.0000110819055,"about_ca_topic_score_gemma":0.000009398257,"teacher_disagreement_score":0.17757607,"about_ca_system_score_codex":0.000021003243,"about_ca_system_score_gemma":0.000019152169,"threshold_uncertainty_score":0.45936358},"labels":[],"label_agreement":null},{"id":"W2113968058","doi":"10.1112/s0010437x11005343","title":"Poincaré inequalities, embeddings, and wild groups","year":2011,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Microsoft Research; David and Lucile Packard Foundation; National Science Foundation","keywords":"Metric space; Convexity; Embedding; Metric (unit); Fixed point; Group (periodic table); Convex metric space; Variety (cybernetics)","score_opus":0.0725326724035067,"score_gpt":0.280925281786253,"score_spread":0.20839260938274629,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113968058","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8310628,0.0006068449,0.04770531,0.00022991379,0.00013125977,0.00046085296,0.000019725265,0.00034061066,0.1194427],"genre_scores_gemma":[0.92567825,0.000022659193,0.073051475,0.0001778878,0.00007777365,0.000030548086,0.0000095591,0.00003899813,0.0009128518],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848783,0.000071402916,0.0005134546,0.00029455524,0.00031584557,0.0003168891],"domain_scores_gemma":[0.99868417,0.00038053488,0.0001998247,0.000484714,0.00009371004,0.00015707241],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005119734,0.00025111367,0.0005223293,0.00020624787,0.000153106,0.00008330772,0.00024436702,0.00011137732,0.00086489663],"category_scores_gemma":[0.00021086849,0.00020672698,0.0001361525,0.00039740585,0.0000977993,0.00019529088,0.00013754977,0.0001787773,0.00008985519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018256109,0.00042214937,0.00039803583,0.00042322217,0.00021081294,0.000022746177,0.0092417095,1.1557621e-7,0.0002620477,0.982093,0.006224457,0.0006834497],"study_design_scores_gemma":[0.0005284047,0.00013620437,0.0009199767,0.00020598646,0.00035564593,0.00013968453,0.0016319716,0.0009030844,0.0007283871,0.9926203,0.0013372405,0.00049315096],"about_ca_topic_score_codex":0.000015205644,"about_ca_topic_score_gemma":0.0000039328816,"teacher_disagreement_score":0.11852985,"about_ca_system_score_codex":0.000027383538,"about_ca_system_score_gemma":0.000015384352,"threshold_uncertainty_score":0.94700116},"labels":[],"label_agreement":null},{"id":"W2114842094","doi":"10.1073/pnas.1210350109","title":"Euler and Navier–Stokes equations on the hyperbolic plane","year":2012,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Euler equations; Mathematics; Mathematical analysis; Euler's formula; Hamiltonian (control theory); Plane (geometry); Ultraparallel theorem; Mathematical physics; Pure mathematics; Hyperbolic manifold; Hyperbolic triangle; Hyperbolic function; Geometry; Mathematical optimization","score_opus":0.11709043847109293,"score_gpt":0.33707266866249463,"score_spread":0.2199822301914017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114842094","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97873324,0.0003039496,0.0000035385613,0.006587354,0.000018891207,0.00011110354,0.000006541258,0.0000065037743,0.014228874],"genre_scores_gemma":[0.99857765,0.000021759646,0.00076385733,0.00028233125,0.00009833331,0.0000069819707,5.6767256e-8,0.000002427173,0.00024662027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986591,0.0000072917856,0.00020530896,0.00009919523,0.00090293743,0.0001261635],"domain_scores_gemma":[0.9986431,0.0009171611,0.00027405014,0.000008540459,0.0001284203,0.00002872625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019680199,0.00006772765,0.000118818556,0.00013238598,0.00023486142,0.000023127333,0.000394906,0.00004952039,0.000039668703],"category_scores_gemma":[0.0026270233,0.00003163984,0.00005392952,0.00090787944,0.00036687107,0.0002586392,0.00006988664,0.0001359253,0.0000029113446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000023766218,0.000062187726,0.0052759293,0.000022007156,0.000023279916,4.0033982e-10,0.00043617463,0.000005541561,0.0066216732,0.98402756,0.0031556864,0.0003675515],"study_design_scores_gemma":[0.00027969058,0.00008190968,0.19850296,0.00018860659,0.0001691451,0.000013217422,0.0022732748,0.0019078498,0.05171818,0.73928785,0.0053076562,0.00026963785],"about_ca_topic_score_codex":0.0000019784472,"about_ca_topic_score_gemma":3.7402533e-8,"teacher_disagreement_score":0.24473971,"about_ca_system_score_codex":0.000010067448,"about_ca_system_score_gemma":0.0000080831,"threshold_uncertainty_score":0.31449822},"labels":[],"label_agreement":null},{"id":"W2121531634","doi":"10.1142/s0219887805000491","title":"ALIGNMENT AND ALGEBRAICALLY SPECIAL TENSORS IN LORENTZIAN GEOMETRY","year":2005,"lang":"en","type":"article","venue":"International Journal of Geometric Methods in Modern Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":118,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Weyl tensor; Tensor (intrinsic definition); Algebraic number; Null (SQL); Ricci decomposition; Type (biology); Symmetric tensor; Tensor calculus","score_opus":0.049409084077629374,"score_gpt":0.3968665994040205,"score_spread":0.34745751532639113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121531634","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4809661,0.00069867907,0.51588845,0.00061716506,0.00050174014,0.000111801,0.0000057066322,0.0000071945547,0.0012031612],"genre_scores_gemma":[0.55801123,0.00035651622,0.43894708,0.00017994444,0.0023174305,0.0000033941158,0.00000223644,0.000024277891,0.00015786341],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964765,0.00030587346,0.0013426518,0.00028835345,0.0012650673,0.00032160745],"domain_scores_gemma":[0.9968788,0.0015461608,0.0007664552,0.00020966746,0.000454815,0.00014410271],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003439279,0.00024827948,0.000703755,0.0031667342,0.000025926489,0.00010305352,0.00066124933,0.00014215554,0.00017270325],"category_scores_gemma":[0.0028158787,0.00021394034,0.00026108354,0.002816637,0.00006392684,0.00043338956,0.0001721271,0.0006324945,0.000004876476],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000094748764,0.00090858486,0.019609319,0.000017791035,0.0003136446,0.000075550066,0.00084830093,0.005161144,0.00025075788,0.008424934,0.0006195701,0.9636757],"study_design_scores_gemma":[0.006078097,0.0003331172,0.060945693,0.00028678472,0.00024555656,0.00025208574,0.0011742141,0.04495198,0.0022729663,0.873097,0.009424476,0.0009380549],"about_ca_topic_score_codex":0.000014312327,"about_ca_topic_score_gemma":0.000017884904,"teacher_disagreement_score":0.9627376,"about_ca_system_score_codex":0.00037266093,"about_ca_system_score_gemma":0.00007101393,"threshold_uncertainty_score":0.87242335},"labels":[],"label_agreement":null},{"id":"W2121794159","doi":"10.1007/s10474-011-0076-4","title":"The existence of weakly symmetric and weakly Ricci-symmetric Sasakian manifolds admitting a quarter-symmetric metric connection","year":2011,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Metric connection; Pure mathematics; Quarter (Canadian coin); Triple system; Metric (unit); Mathematical analysis; Ricci curvature; Fundamental theorem of Riemannian geometry; Geometry","score_opus":0.04589194806782742,"score_gpt":0.2797535696529847,"score_spread":0.23386162158515728,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121794159","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83069813,0.009812144,0.016322274,0.001986302,0.0019355192,0.0033449323,0.000058886588,0.0007247071,0.13511708],"genre_scores_gemma":[0.9774058,0.00057056145,0.019695045,0.00010377121,0.00014040942,0.000100912526,0.00000616064,0.00009834954,0.0018789873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99159926,0.0005716211,0.00254073,0.001377488,0.0023542102,0.0015566623],"domain_scores_gemma":[0.9884409,0.006192512,0.0023631733,0.0016779152,0.0007166532,0.0006089048],"candidate_categories":["metaresearch","metaepi_narrow","bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.008406036,0.0008372636,0.0015384878,0.00604966,0.0012692274,0.00041526894,0.001962657,0.0007516585,0.00025450138],"category_scores_gemma":[0.016698059,0.0005961133,0.00067523983,0.03232772,0.00057193195,0.0009250926,0.0007104125,0.0014604318,0.00010599265],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016179257,0.0030376476,0.008016854,0.0020470428,0.0021648242,0.000045121084,0.0068173683,0.0000018332281,0.0036322551,0.90209746,0.021979421,0.049998395],"study_design_scores_gemma":[0.005175718,0.0034017612,0.15827918,0.0013859477,0.008856422,0.0011811684,0.029414956,0.03108555,0.015058543,0.7208103,0.019264359,0.006086125],"about_ca_topic_score_codex":0.000101658225,"about_ca_topic_score_gemma":0.000025222447,"teacher_disagreement_score":0.18128717,"about_ca_system_score_codex":0.00020488577,"about_ca_system_score_gemma":0.0001543315,"threshold_uncertainty_score":0.99964905},"labels":[],"label_agreement":null},{"id":"W2121866745","doi":"10.1007/s00205-005-0386-1","title":"Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media","year":2005,"lang":"en","type":"article","venue":"Archive for Rational Mechanics and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":385,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Convexity; Balanced flow; Degenerate energy levels; Limit (mathematics); Thermalisation; Regular polygon; Space (punctuation); Flow (mathematics); Mathematics; Algebraic number; Physics; Mathematical analysis; Manifold (fluid mechanics); Homogeneous; Statistical physics; Classical mechanics; Geometry; Quantum mechanics","score_opus":0.02180790864963491,"score_gpt":0.27116963555779067,"score_spread":0.24936172690815575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121866745","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13198952,0.00044950872,0.86450243,0.002485672,0.000015024339,0.0002490584,0.00011677742,0.000006254154,0.00018573833],"genre_scores_gemma":[0.9887095,0.00012395885,0.0108706355,0.00007547862,0.00003895463,0.000023404236,0.00012784686,0.0000048446973,0.000025351692],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926966,0.00006851569,0.00024560114,0.00014051147,0.00018754306,0.000088150846],"domain_scores_gemma":[0.9988189,0.0008297977,0.00013603929,0.000112146685,0.0000769114,0.000026239233],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005625175,0.000080219805,0.00022473882,0.0003214265,0.00009656603,0.000028496335,0.000066311186,0.000032996,0.000022540213],"category_scores_gemma":[0.00028969892,0.000055120086,0.00012780243,0.0006841565,0.000014698416,0.00008889375,0.000012740783,0.00006119616,2.3690312e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001088149,0.000076045755,0.0008974313,0.000011081562,0.0002852474,1.9134283e-7,0.0009666958,0.0005097418,0.00031925747,0.9959972,0.0000731992,0.0008530617],"study_design_scores_gemma":[0.0004992488,0.00004466489,0.00593424,0.000008160628,0.0016749187,0.0000017681259,0.0018109923,0.42579204,0.00012303848,0.56301534,0.0009774442,0.00011815893],"about_ca_topic_score_codex":0.000024306868,"about_ca_topic_score_gemma":0.0012351032,"teacher_disagreement_score":0.85672,"about_ca_system_score_codex":0.000006366824,"about_ca_system_score_gemma":0.000012724241,"threshold_uncertainty_score":0.2247732},"labels":[],"label_agreement":null},{"id":"W2127347722","doi":"10.4153/cmb-2011-110-3","title":"First Variation Formula in Wasserstein Spaces over Compact Alexandrov Spaces","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Uniqueness; Pure mathematics; Bounded function; Regular polygon; Space (punctuation); Bounded variation; Quadratic equation; Flow (mathematics); Mathematical analysis; Balanced flow; Variational inequality; First variation; Geometry","score_opus":0.038397853177701675,"score_gpt":0.24611482445059762,"score_spread":0.20771697127289596,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2127347722","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80929476,0.00023043666,0.0053127203,0.005802311,0.0001683081,0.0009210413,0.000036811663,0.00012335314,0.17811027],"genre_scores_gemma":[0.98953104,0.000009487384,0.0057581863,0.00025607774,0.000066668064,0.000020481004,0.000008257438,0.000042405187,0.0043073767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979502,0.00007891181,0.00056703296,0.00035434234,0.00036255046,0.000686939],"domain_scores_gemma":[0.99820054,0.0004927278,0.00017502402,0.00049272046,0.000075584096,0.00056340656],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00081752794,0.00030004472,0.00059368135,0.0006048293,0.0001313837,0.00013959983,0.00034043856,0.00023989899,0.03723299],"category_scores_gemma":[0.0010363123,0.00025388424,0.00018444455,0.00074409,0.00006455459,0.00009952397,0.00003014279,0.0002868524,0.002696392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053924105,0.00078708807,0.011556492,0.0008704136,0.0003380064,0.00028064163,0.012583965,0.000033924247,0.000029918107,0.8516577,0.12148931,0.00031862187],"study_design_scores_gemma":[0.0026536328,0.00029871584,0.066385336,0.00097593904,0.0005163115,0.00007084818,0.0038381375,0.008791581,0.00016843973,0.7627958,0.15148129,0.0020239896],"about_ca_topic_score_codex":0.011585006,"about_ca_topic_score_gemma":0.03998631,"teacher_disagreement_score":0.18023631,"about_ca_system_score_codex":0.00025475692,"about_ca_system_score_gemma":0.000110199784,"threshold_uncertainty_score":0.99999136},"labels":[],"label_agreement":null},{"id":"W2130395245","doi":"10.1007/jhep10(2013)165","title":"Holonomy spin foam models: asymptotic geometry of the partition function","year":2013,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Narodowe Centrum Nauki; Institut Périmètre de physique théorique; Industry Canada; Government of Canada","keywords":"Spin foam; Partition function (quantum field theory); Holonomy; Immirzi parameter; Curvature; Spins; Boundary (topology); Partition (number theory); Boundary value problem","score_opus":0.023199282680578873,"score_gpt":0.22816408941755137,"score_spread":0.20496480673697248,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2130395245","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5893635,0.00022963747,0.4089131,0.00020613079,0.000412637,0.000049519247,0.0000017039365,0.000007905902,0.0008158339],"genre_scores_gemma":[0.99750394,0.000040718583,0.0015857841,0.00009985523,0.00045308343,0.000004343793,0.0000018973413,0.00001599777,0.0002944073],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866426,0.00007376919,0.00055298326,0.00009519189,0.00046156938,0.00015220538],"domain_scores_gemma":[0.9981135,0.00011971694,0.0009474007,0.00028835103,0.00047270372,0.00005832015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002311831,0.00012997923,0.0003667668,0.00013239658,0.00006181836,0.000035352932,0.00023157659,0.00007984231,0.00008851083],"category_scores_gemma":[0.00007213771,0.00007990436,0.00036143666,0.0008097102,0.000039374918,0.0004653663,0.000044723205,0.00019483798,0.0000057776715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026065518,0.00057088694,0.0005341442,0.000053093037,0.000554177,0.0000013167773,0.00008586263,0.019482657,0.0004989256,0.95061344,0.0122036,0.01537584],"study_design_scores_gemma":[0.00035273682,0.00015023201,0.0033424795,0.0000535185,0.0003303671,0.0000075974217,0.00008430347,0.0028542362,0.0021618376,0.99006265,0.0004952201,0.00010480741],"about_ca_topic_score_codex":0.000057892874,"about_ca_topic_score_gemma":0.000004066323,"teacher_disagreement_score":0.4081404,"about_ca_system_score_codex":0.000045401368,"about_ca_system_score_gemma":0.00004612459,"threshold_uncertainty_score":0.32584053},"labels":[],"label_agreement":null},{"id":"W2130459032","doi":"10.1073/pnas.1231896100","title":"Phase transitions and symmetry breaking in singular diffusion","year":2003,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Symmetry breaking; Nonlinear system; Symmetry (geometry); Phase transition; Physics; Diffusion; Statistical physics; Entropy (arrow of time); Rotational symmetry; Classical mechanics; Rotational diffusion; Spontaneous symmetry breaking; Mathematical physics; Mathematics; Quantum mechanics; Mechanics; Geometry","score_opus":0.05038550872257553,"score_gpt":0.3364976068678272,"score_spread":0.2861120981452517,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2130459032","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9937687,0.00015262558,0.000022099144,0.000720408,0.000005462042,0.0000756612,0.0000024959713,0.0000038738863,0.0052486844],"genre_scores_gemma":[0.9953817,0.000014298776,0.004490597,0.000057887537,0.000011550196,0.0000022876516,3.3646526e-8,0.0000020606353,0.000039590705],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888295,0.0000072912,0.00025216135,0.00013885625,0.00062533066,0.000093403425],"domain_scores_gemma":[0.99952155,0.00014016924,0.00020459337,0.000004818774,0.00010886612,0.000020006775],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014270084,0.00005950358,0.00014084607,0.00031080918,0.00012120979,0.00001847689,0.00018901401,0.000055945136,0.000012791054],"category_scores_gemma":[0.0011459307,0.000038601807,0.000052651125,0.001661783,0.00023622591,0.00022052742,0.000023879282,0.00011195816,1.2614775e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000052406876,0.00039339534,0.0041720783,0.000092694434,0.00001565224,1.2499668e-8,0.00046733127,0.0000075778908,0.10970065,0.8836439,0.00014147299,0.0013599673],"study_design_scores_gemma":[0.00086669857,0.00007680891,0.012311306,0.0002022833,0.000052757347,0.00001917317,0.001100949,0.0024327284,0.0495693,0.93299204,0.00024975018,0.00012623063],"about_ca_topic_score_codex":0.0000021353367,"about_ca_topic_score_gemma":1.05224444e-7,"teacher_disagreement_score":0.06013135,"about_ca_system_score_codex":0.000013981366,"about_ca_system_score_gemma":0.000011197153,"threshold_uncertainty_score":0.1574136},"labels":[],"label_agreement":null},{"id":"W2131633755","doi":"10.1353/ajm.2007.0000","title":"Metric Spaces with Linear Extensions Preserving Lipschitz Condition","year":2007,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lipschitz continuity; Bounded function; Metric space; Pure mathematics; Invariant (physics); Metric (unit); Manifold (fluid mechanics); Metric map; Mathematical analysis; Convex metric space","score_opus":0.023607158585611143,"score_gpt":0.3109612183116273,"score_spread":0.2873540597260162,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131633755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7124744,0.0001638994,0.28553733,0.00021228666,0.00006553862,0.00009821987,0.00000214589,0.000024103767,0.001422065],"genre_scores_gemma":[0.682966,0.000042888147,0.31650385,0.000061292674,0.00017850446,8.623414e-7,9.553256e-7,0.00003004287,0.00021560949],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.99766916,0.0000708518,0.0009059895,0.00014043284,0.00088217575,0.00033141425],"domain_scores_gemma":[0.99508363,0.0017520009,0.001866065,0.00037183636,0.00070186023,0.00022461313],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002329482,0.00021816487,0.0007810347,0.0008868288,0.00010930338,0.0000601957,0.00034550385,0.000052999418,0.00014239074],"category_scores_gemma":[0.0018407701,0.00014074834,0.00023358848,0.00254298,0.00015582102,0.00022814688,0.000050271196,0.000397535,0.000013768453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002437795,0.0322579,0.06179025,0.0053025377,0.025341751,0.0058296793,0.06906244,0.008517628,0.014885088,0.3462544,0.11711942,0.31120113],"study_design_scores_gemma":[0.014086481,0.02696291,0.042289685,0.0073328903,0.018293617,0.017429864,0.4023903,0.023673508,0.01321305,0.38008177,0.04708317,0.0071627446],"about_ca_topic_score_codex":0.000011684845,"about_ca_topic_score_gemma":0.000020669726,"teacher_disagreement_score":0.33332786,"about_ca_system_score_codex":0.000049819042,"about_ca_system_score_gemma":0.00007286074,"threshold_uncertainty_score":0.57395506},"labels":[],"label_agreement":null},{"id":"W2132648737","doi":"10.1007/s10711-008-9349-7","title":"Hopf hypersurfaces of small Hopf principal curvature in $${\\mathbb{C}{\\rm H}^2}$$","year":2008,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Differential geometry; Hyperbolic geometry; Principal curvature; Curvature; Projective geometry; Pure mathematics; Hopf fibration; Mathematical analysis; Algebraic geometry; Differential (mechanical device); Type (biology); Hyperbolic space; Mean curvature; Geometry; Physics","score_opus":0.08907413493478117,"score_gpt":0.2887936000985465,"score_spread":0.19971946516376532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132648737","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.989864,0.0033981039,0.0017066106,0.0003660979,0.00031615168,0.00042403175,0.00007633373,0.00010596858,0.003742708],"genre_scores_gemma":[0.98516554,0.0007612903,0.012248636,0.00012582859,0.00021634581,0.000029164194,0.00007914902,0.000057046207,0.0013169869],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99610215,0.00014755983,0.0011978862,0.0006919929,0.001104596,0.00075578317],"domain_scores_gemma":[0.9965554,0.0010207624,0.00062580867,0.0012538815,0.00027148312,0.00027269174],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001800108,0.00043299602,0.0011989006,0.0022795328,0.00013588829,0.00003215217,0.0010862048,0.0004760014,0.0005092782],"category_scores_gemma":[0.0049472568,0.00036550965,0.00039897475,0.008490325,0.00023900166,0.00021539604,0.0003277491,0.0007376267,0.000109447035],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009977233,0.009984784,0.76408654,0.002479687,0.0036048037,0.0012497186,0.009976148,0.00064651796,0.004377527,0.02835227,0.13271782,0.04152646],"study_design_scores_gemma":[0.024360951,0.0018242017,0.63065517,0.0012841121,0.0024122023,0.0007601083,0.004767536,0.0037255595,0.012519861,0.028418072,0.28312698,0.006145248],"about_ca_topic_score_codex":0.00021644434,"about_ca_topic_score_gemma":0.00021245041,"teacher_disagreement_score":0.15040916,"about_ca_system_score_codex":0.00008907291,"about_ca_system_score_gemma":0.00019169251,"threshold_uncertainty_score":0.99987966},"labels":[],"label_agreement":null},{"id":"W2132999841","doi":"10.1007/s00205-004-0336-3","title":"Fast Diffusion to Self-Similarity: Complete Spectrum, Long-Time Asymptotics, and Numerology","year":2004,"lang":"en","type":"article","venue":"Archive for Rational Mechanics and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Hessian matrix; Mathematical analysis; Eigenfunction; Pure mathematics; Combinatorics; Eigenvalues and eigenvectors; Physics; Quantum mechanics; Applied mathematics","score_opus":0.014999958065179779,"score_gpt":0.2515879991671009,"score_spread":0.2365880411019211,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132999841","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12275245,0.000056643843,0.8738805,0.0026658846,0.000030063164,0.00028127452,0.00022446661,0.000033058397,0.0000756755],"genre_scores_gemma":[0.89632535,0.000052021933,0.1023038,0.00054590346,0.00011368861,0.00003089326,0.00044666007,0.000022560676,0.00015910623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986744,0.00004342631,0.0003384184,0.00042857195,0.00025900968,0.00025619895],"domain_scores_gemma":[0.99907005,0.00031045446,0.00013276006,0.00020694998,0.00010066069,0.00017912162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033263443,0.00019936735,0.00051431503,0.0005600305,0.00029441592,0.00008568401,0.000119270124,0.00007190595,0.00007586708],"category_scores_gemma":[0.00016701968,0.00017298755,0.00024487913,0.0007763214,0.00001704373,0.000068289904,0.00012123306,0.00010711642,0.000009666247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056947367,0.0003208045,0.0021071886,0.00004785934,0.0027965994,0.000005009375,0.0005868507,0.0017235497,0.00087514013,0.99032456,0.0002504224,0.0009050585],"study_design_scores_gemma":[0.0007541924,0.00027938306,0.004485534,0.000011166119,0.0024418018,0.000007863611,0.00007137263,0.16063268,0.000059494523,0.8304503,0.000528058,0.00027813736],"about_ca_topic_score_codex":0.000027785669,"about_ca_topic_score_gemma":0.00062653085,"teacher_disagreement_score":0.7735729,"about_ca_system_score_codex":0.000028624643,"about_ca_system_score_gemma":0.000028646087,"threshold_uncertainty_score":0.70542276},"labels":[],"label_agreement":null},{"id":"W2135384492","doi":"10.2969/jmsj/06441091","title":"On the equivalence of parabolic Harnack inequalities and heat kernel estimates","year":2012,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":102,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Harnack's inequality; Mathematics; Harnack's principle; Heat kernel; Equivalence (formal languages); Dirichlet form; Metric (unit); Kernel (algebra); Dirichlet distribution; Mathematical analysis; Metric space; Pure mathematics","score_opus":0.06173481247945846,"score_gpt":0.3083678151850118,"score_spread":0.24663300270555333,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135384492","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99351126,0.00080216595,0.0027157154,0.0022634976,0.00006672569,0.00011387913,0.0000042969596,0.000004702727,0.0005177685],"genre_scores_gemma":[0.9907058,0.00010599143,0.008691459,0.00017371873,0.00009466468,0.0000018421753,9.700453e-8,0.000013313116,0.0002131056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812096,0.000106603664,0.00079547707,0.00006789696,0.00067716866,0.0002319093],"domain_scores_gemma":[0.99576247,0.002948713,0.00070000143,0.00032899374,0.00016805864,0.000091753216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023010622,0.00015685124,0.0006189014,0.000035005713,0.000096672724,0.000025058835,0.0004274759,0.000088575376,0.00018521317],"category_scores_gemma":[0.0020934888,0.00006919581,0.00063207396,0.00029273485,0.00031409835,0.00012572987,0.00012674893,0.00031199883,0.0000034310287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005794867,0.001691641,0.0115419645,0.0023212163,0.0015146096,2.1825704e-7,0.029807463,0.00007732408,0.0038781087,0.91727275,0.031100268,0.0007364641],"study_design_scores_gemma":[0.0005790604,0.0002369172,0.007676356,0.0011621015,0.0008393809,0.00007685035,0.010500709,0.0030182397,0.0074407915,0.9680046,0.00023635705,0.00022864429],"about_ca_topic_score_codex":0.0000043963955,"about_ca_topic_score_gemma":2.2781381e-7,"teacher_disagreement_score":0.05073182,"about_ca_system_score_codex":0.000023071947,"about_ca_system_score_gemma":0.000023556295,"threshold_uncertainty_score":0.28217232},"labels":[],"label_agreement":null},{"id":"W2138802207","doi":"10.5802/afst.1132","title":"Prékopa–Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport","year":2006,"lang":"fr","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Ricci curvature; Riemannian manifold; Pure mathematics; Connection (principal bundle); Manifold (fluid mechanics); Convexity; Sobolev inequality; Mathematical analysis; Logarithm; Curvature; Sobolev space; Geometry","score_opus":0.06107422897019417,"score_gpt":0.3377176144842111,"score_spread":0.27664338551401696,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2138802207","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9599157,0.010211462,0.0061657387,0.0011873451,0.00012881614,0.00027542538,0.00008407912,0.00018609631,0.021845331],"genre_scores_gemma":[0.93346936,0.0020273174,0.047619805,0.00062168186,0.00031351793,0.000026698315,0.000028154951,0.00005419831,0.015839286],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99623036,0.00057246187,0.0008050663,0.0006589128,0.0007022621,0.0010309203],"domain_scores_gemma":[0.997914,0.0008827022,0.000328382,0.0003685349,0.00025130168,0.00025509097],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0025751898,0.0005754972,0.0007168931,0.000407517,0.0007268321,0.0007103785,0.00057520333,0.00058003573,0.00057680946],"category_scores_gemma":[0.0003432013,0.00049173983,0.00026840923,0.0011404485,0.0020999452,0.0006454444,0.00009043911,0.0005456457,0.00007424433],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018748836,0.0022584058,0.06609961,0.0031441043,0.00057786563,0.00078442675,0.062378854,0.008160111,0.0004140755,0.7499377,0.09766907,0.008388269],"study_design_scores_gemma":[0.001925167,0.004532585,0.14099436,0.0033917287,0.0017181496,0.0017446309,0.021299671,0.027044052,0.003583323,0.63157356,0.15813048,0.0040622796],"about_ca_topic_score_codex":0.0019119383,"about_ca_topic_score_gemma":0.0012508027,"teacher_disagreement_score":0.11836414,"about_ca_system_score_codex":0.0001658522,"about_ca_system_score_gemma":0.00025475802,"threshold_uncertainty_score":0.9997534},"labels":[],"label_agreement":null},{"id":"W2140202868","doi":"10.1142/s0219199714500485","title":"On the regularity of timelike extremal surfaces","year":2014,"lang":"en","type":"preprint","venue":"Communications in Contemporary Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Minkowski space; Hausdorff dimension; Parametrization (atmospheric modeling); Surface (topology); Euclidean geometry; Mathematics; Euclidean space; Pure mathematics; Dimension (graph theory); Combinatorics; Mathematical analysis; Physics; Mathematical physics; Geometry; Quantum mechanics","score_opus":0.2614314049696048,"score_gpt":0.37397108662533485,"score_spread":0.11253968165573003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2140202868","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48599914,0.0143641895,0.04107995,0.016432293,0.00067412585,0.0057869037,0.00031915618,0.00042110184,0.43492314],"genre_scores_gemma":[0.947733,0.00023022525,0.050578278,0.000091454596,0.0000257135,0.00014032275,0.00007813756,0.000052196527,0.0010706601],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99630696,0.00089859107,0.001614901,0.00035746064,0.00060032815,0.00022178117],"domain_scores_gemma":[0.9809667,0.008959629,0.0015250586,0.008166156,0.00032724888,0.00005524413],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0045179506,0.00041625262,0.0011807737,0.0004079084,0.00016131751,0.00009022913,0.0038560347,0.00044300398,0.0001529631],"category_scores_gemma":[0.0040828413,0.00029376507,0.0004028771,0.0007146235,0.00040817712,0.00006683695,0.002319513,0.0015086632,0.000028460518],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012233993,0.0017003698,0.00039829654,0.0010118755,0.0003223574,0.0000015394304,0.0020815763,0.0002586587,0.000020417749,0.9636627,0.030190337,0.00033966365],"study_design_scores_gemma":[0.0002765823,0.000041112,0.00018146135,0.0014719312,0.0001401198,0.00000197749,0.00084704295,0.057903167,0.00007835583,0.93595874,0.002716054,0.00038347035],"about_ca_topic_score_codex":0.000052222804,"about_ca_topic_score_gemma":0.00009027183,"teacher_disagreement_score":0.46173388,"about_ca_system_score_codex":0.00007335782,"about_ca_system_score_gemma":0.0002209099,"threshold_uncertainty_score":0.9999514},"labels":[],"label_agreement":null},{"id":"W2141776582","doi":"10.1088/0264-9381/26/5/055015","title":"Ricci solitons and Einstein-scalar field theory","year":2009,"lang":"en","type":"article","venue":"Classical and Quantum Gravity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Ricci flow; Physics; Mathematical physics; Geometric flow; Ricci curvature; Einstein; Scalar curvature; Flow (mathematics); Classical mechanics; Curvature; Mathematics; Geometry","score_opus":0.02234179047383236,"score_gpt":0.28381298382335896,"score_spread":0.2614711933495266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141776582","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9806124,0.00087552005,0.009195188,0.0049262405,0.000099826,0.00012233884,0.0000063297107,0.0000724106,0.004089773],"genre_scores_gemma":[0.9974911,0.00008694425,0.0006239836,0.00062964886,0.00012539809,0.0000027350886,0.000002729368,0.0000067358424,0.0010307315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989534,0.00009648799,0.00022420973,0.00028782213,0.0001833376,0.00025476838],"domain_scores_gemma":[0.9988389,0.00062493596,0.00006601553,0.00023883586,0.000039175527,0.00019211056],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040692135,0.00016926868,0.00036200945,0.000079151374,0.00016832203,0.00006688493,0.00009420338,0.00016315536,0.000050215578],"category_scores_gemma":[0.0004834322,0.00011630327,0.000111998874,0.00027661922,0.000097793905,0.000080444326,0.0000513482,0.00028667116,0.000008884638],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003250927,0.00022315941,0.000879394,0.00002552633,0.0000342061,0.000012626027,0.00010664823,7.0705745e-8,0.00034110862,0.9367861,0.005778955,0.055779703],"study_design_scores_gemma":[0.0003161002,0.0002865071,0.0203367,0.000021358535,0.00012881537,0.000014783902,0.00011827626,0.00087622146,0.00022350626,0.9645255,0.012939866,0.00021235363],"about_ca_topic_score_codex":0.0000054334732,"about_ca_topic_score_gemma":0.000009298208,"teacher_disagreement_score":0.05556735,"about_ca_system_score_codex":0.000008148466,"about_ca_system_score_gemma":0.0000116688325,"threshold_uncertainty_score":0.474271},"labels":[],"label_agreement":null},{"id":"W2141810975","doi":"10.5802/jep.29","title":"The intrinsic dynamics of optimal transport","year":2016,"lang":"en","type":"preprint","venue":"Journal de l’École polytechnique — Mathématiques","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Space (punctuation); Set (abstract data type); Compact space; Construct (python library); Topology (electrical circuits); Mathematics; Dynamics (music); Mathematical optimization; Transportation theory; Computer science; Pure mathematics; Physics; Combinatorics","score_opus":0.015737995917715145,"score_gpt":0.2865965773592815,"score_spread":0.2708585814415664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141810975","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15751095,0.0014343957,0.8293831,0.0042819497,0.00049187086,0.0009769741,0.00015109546,0.00033225762,0.005437421],"genre_scores_gemma":[0.83262473,0.005229124,0.15845977,0.00023424155,0.0008546603,0.00022397315,0.000023882829,0.00019112267,0.0021584937],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957117,0.00037170615,0.0019182938,0.00039063202,0.00092523557,0.0006824405],"domain_scores_gemma":[0.9946797,0.00084030227,0.0023393559,0.0011632192,0.00072613824,0.00025132357],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0035887512,0.00060731464,0.001248544,0.00062597095,0.00031301848,0.0002463553,0.0015647971,0.0009725343,0.000117612435],"category_scores_gemma":[0.0006878629,0.00036598902,0.0011152677,0.00047411738,0.00021333928,0.00018366789,0.00040399982,0.0024104207,0.000005024001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00043658447,0.0011316795,0.009288095,0.0025831496,0.0031411562,0.0003765484,0.0022933697,0.00033777504,0.0011266229,0.8763577,0.028727967,0.07419938],"study_design_scores_gemma":[0.0003302291,0.00019997304,0.0036076617,0.001736375,0.0006642525,0.00037129104,0.00027538696,0.003549813,0.0034184633,0.98243153,0.0026957798,0.00071926793],"about_ca_topic_score_codex":0.00003546596,"about_ca_topic_score_gemma":0.00009272872,"teacher_disagreement_score":0.6751138,"about_ca_system_score_codex":0.0005266102,"about_ca_system_score_gemma":0.0006238162,"threshold_uncertainty_score":0.99989104},"labels":[],"label_agreement":null},{"id":"W2142595675","doi":"10.1093/imamat/hxt032","title":"An efficient numerical algorithm for the L2 optimal transport problem with periodic densities","year":2013,"lang":"en","type":"article","venue":"IMA Journal of Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Discretization; Partial differential equation; Mathematical analysis; Numerical analysis; Algorithm; Bounded function; Newton's method; Applied mathematics; Nonlinear system","score_opus":0.013823281699764925,"score_gpt":0.24833600432614814,"score_spread":0.2345127226263832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142595675","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12890284,0.00010708499,0.869498,0.00018014264,0.000044715212,0.00072728976,0.0000063213006,0.000024818813,0.0005087929],"genre_scores_gemma":[0.35479876,0.000008589015,0.6448236,0.000052083175,0.00015364672,0.000064041495,0.0000018524045,0.00004108955,0.000056342087],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99781513,0.000015187865,0.0008866485,0.0001721992,0.00074828736,0.00036252677],"domain_scores_gemma":[0.99749625,0.0006089311,0.00077849004,0.00037960344,0.00056841626,0.00016830374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096096785,0.00028407195,0.00070413906,0.0001680773,0.0002203076,0.00016695683,0.00046267934,0.00009796138,0.00019940405],"category_scores_gemma":[0.000035046774,0.00014693491,0.0002732263,0.0004078948,0.00012806366,0.0001301166,0.000017782715,0.00032565775,0.000012150891],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011583026,0.019783216,0.00022277812,0.0043713925,0.01119525,0.00023255633,0.13225114,0.1360762,0.0054561184,0.31133384,0.03159743,0.3463218],"study_design_scores_gemma":[0.0035566755,0.0015347642,0.00025788418,0.00025779524,0.003188191,0.00091718475,0.04081075,0.88290215,0.0016235304,0.06195283,0.0020008644,0.0009973948],"about_ca_topic_score_codex":0.0000032494008,"about_ca_topic_score_gemma":0.0000011130902,"teacher_disagreement_score":0.74682593,"about_ca_system_score_codex":0.000037572194,"about_ca_system_score_gemma":0.00010823774,"threshold_uncertainty_score":0.59918314},"labels":[],"label_agreement":null},{"id":"W2144213501","doi":"10.9790/5728-10310815","title":"CR-submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric non-metric connection","year":2014,"lang":"en","type":"article","venue":"IOSR Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Metric connection; Connection (principal bundle); Quarter (Canadian coin); Pure mathematics; Metric (unit); Manifold (fluid mechanics); Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Scalar curvature; Curvature","score_opus":0.014416335283882895,"score_gpt":0.2427647135062312,"score_spread":0.2283483782223483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144213501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7303462,0.0003060484,0.2642569,0.00019809636,0.0001903641,0.00027901324,0.0000045019533,0.000028017985,0.004390862],"genre_scores_gemma":[0.9501942,0.00005078011,0.04916702,0.00005071191,0.00025998,0.00000484045,0.000001025634,0.000062161685,0.0002092976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963318,0.00014746304,0.0016453833,0.00022246497,0.0012531705,0.00039971113],"domain_scores_gemma":[0.99513954,0.0012296413,0.0019941065,0.0005575288,0.00085490517,0.0002242964],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0025055173,0.0003728628,0.0013727854,0.0020610043,0.00009525913,0.00010616924,0.0005196475,0.0002218884,0.00016695073],"category_scores_gemma":[0.0010862576,0.00025617855,0.0005449027,0.0038149438,0.00005547187,0.00030568088,0.000026270623,0.00047898354,0.000019894958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016937515,0.03851992,0.032803707,0.025628598,0.021604544,0.0008429275,0.07190525,0.0023323705,0.02038468,0.65468735,0.051161055,0.078435875],"study_design_scores_gemma":[0.048723876,0.040502604,0.052905288,0.01154211,0.0319976,0.014970022,0.057260603,0.09840415,0.024736648,0.59251297,0.017895052,0.008549112],"about_ca_topic_score_codex":0.00001729767,"about_ca_topic_score_gemma":0.00002646052,"teacher_disagreement_score":0.21984799,"about_ca_system_score_codex":0.00007125219,"about_ca_system_score_gemma":0.00008570917,"threshold_uncertainty_score":0.99998903},"labels":[],"label_agreement":null},{"id":"W2146638188","doi":"10.1515/crelle-2013-0009","title":"Energy inequalities for cutoff functions and some applications","year":2013,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Trinity College, University of Cambridge; Natural Sciences and Engineering Research Council of Canada","keywords":"Dirichlet form; Bounded function; Cutoff; Heat kernel; Completeness (order theory); Measure (data warehouse); Sobolev inequality; Metric (unit); Dirichlet distribution; Poincaré inequality","score_opus":0.03269703751891293,"score_gpt":0.3039680788096154,"score_spread":0.27127104129070245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2146638188","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.043388307,0.063824974,0.8734958,0.009973989,0.00073975505,0.0011985668,0.0000789973,0.0001902518,0.0071093254],"genre_scores_gemma":[0.5165496,0.07617066,0.17560628,0.0024794983,0.020835247,0.0017201276,0.0001265693,0.0008171956,0.20569485],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99696404,0.00013819468,0.0013592673,0.0003113355,0.0006130084,0.00061414577],"domain_scores_gemma":[0.995977,0.0010940221,0.0011405296,0.00040087628,0.00085419964,0.0005334135],"candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0012016572,0.00044518264,0.00086843193,0.00078024087,0.0012569079,0.0010743553,0.00039411147,0.00020625675,0.00053312886],"category_scores_gemma":[0.0005033281,0.00031384517,0.0006022099,0.0005018383,0.00010598725,0.00093829364,0.00010545581,0.0006488222,0.000042743646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000103268445,0.001517302,0.00022971701,0.001043653,0.0045057703,0.00006020084,0.0024204948,0.00010913508,0.0028397609,0.48175898,0.39811662,0.107295096],"study_design_scores_gemma":[0.001101488,0.00022160013,0.000024649611,0.00019741787,0.0007305613,0.0010232438,0.002778198,0.0008192716,0.00028880063,0.7201554,0.27221683,0.00044251283],"about_ca_topic_score_codex":0.000017974042,"about_ca_topic_score_gemma":0.000020608086,"teacher_disagreement_score":0.69788957,"about_ca_system_score_codex":0.000115897376,"about_ca_system_score_gemma":0.0001061354,"threshold_uncertainty_score":0.9999626},"labels":[],"label_agreement":null},{"id":"W2146877949","doi":"10.5831/hmj.2014.36.2.217","title":"GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION","year":2014,"lang":"en","type":"article","venue":"Honam Mathematical Journal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric (unit); Metric connection; Mathematics; Quarter (Canadian coin); Manifold (fluid mechanics); Pure mathematics; Kähler manifold; Geometry; Mathematical analysis; Fundamental theorem of Riemannian geometry; Ricci curvature; Engineering","score_opus":0.019844715126344146,"score_gpt":0.25772629279669057,"score_spread":0.23788157767034643,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2146877949","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7475534,0.00017937145,0.24416837,0.00011126919,0.00012759221,0.00022165012,0.0000063827065,0.000047144924,0.007584795],"genre_scores_gemma":[0.9613624,0.000020453284,0.038074583,0.00004142513,0.00019525907,0.000008327851,0.000004654133,0.000056163266,0.0002367087],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958102,0.00030265353,0.0015060911,0.00034760832,0.0015351053,0.00049834733],"domain_scores_gemma":[0.99525374,0.0015904502,0.0013515771,0.0006624422,0.0007732505,0.00036853846],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0028131073,0.00038519435,0.0012885212,0.002721405,0.00013492483,0.00012617273,0.0005084207,0.00027200303,0.000790363],"category_scores_gemma":[0.0019307513,0.00026061208,0.00041930832,0.005105354,0.00009999304,0.0004051366,0.00006380635,0.00059454225,0.000039068924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029480786,0.0050077457,0.0037390955,0.0015821123,0.0015274155,0.00006133873,0.001199024,0.00010055537,0.0008648741,0.9686202,0.0014770281,0.015525851],"study_design_scores_gemma":[0.008303079,0.009417513,0.02220184,0.0013941717,0.0041530426,0.0040373565,0.0045977505,0.026917212,0.0065544886,0.9082487,0.0020859533,0.0020888525],"about_ca_topic_score_codex":0.000015545715,"about_ca_topic_score_gemma":0.000016532196,"teacher_disagreement_score":0.21380901,"about_ca_system_score_codex":0.00006918841,"about_ca_system_score_gemma":0.000073515206,"threshold_uncertainty_score":0.9999846},"labels":[],"label_agreement":null},{"id":"W2148083244","doi":"10.1155/2012/178390","title":"Lightlike Hypersurfaces of a Semi-Riemannian Product Manifold and Quarter-Symmetric Nonmetric Connections","year":2012,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Pure mathematics; Invariant (physics); Quarter (Canadian coin); Product (mathematics); Riemannian manifold; Manifold (fluid mechanics); Mathematical analysis; Geometry; Mathematical physics","score_opus":0.04124764839093486,"score_gpt":0.31295035476895944,"score_spread":0.27170270637802457,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2148083244","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.973815,0.002388387,0.016162798,0.0011456239,0.0003825175,0.00017815462,0.000008043953,0.000014751728,0.0059046787],"genre_scores_gemma":[0.92430913,0.00025295318,0.07510051,0.000027154141,0.00017594788,0.0000030242657,3.036563e-7,0.000010461481,0.00012050842],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99739486,0.0000460889,0.0009955106,0.0001681147,0.0011256777,0.00026974382],"domain_scores_gemma":[0.99676865,0.0015427029,0.000911542,0.00014488814,0.000427327,0.00020487317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027860482,0.00019314051,0.0005841814,0.0009089451,0.00011366055,0.00014736819,0.00042567856,0.00006919227,0.00014433778],"category_scores_gemma":[0.002579554,0.00012494969,0.0001614852,0.0010535136,0.00023469664,0.0005254537,0.000120396115,0.00017117687,0.000007256125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001634541,0.0021481775,0.0057965294,0.00053231796,0.0006634033,0.000010262624,0.004430389,0.000007963917,0.0013100803,0.9792544,0.0015822613,0.004247822],"study_design_scores_gemma":[0.0021443134,0.0012406337,0.0060447715,0.0013007695,0.001405102,0.0035140626,0.020932056,0.007985326,0.0052127964,0.9454444,0.003749157,0.001026578],"about_ca_topic_score_codex":0.0000048764696,"about_ca_topic_score_gemma":0.00000215025,"teacher_disagreement_score":0.058937714,"about_ca_system_score_codex":0.000026934298,"about_ca_system_score_gemma":0.00003970873,"threshold_uncertainty_score":0.50953},"labels":[],"label_agreement":null},{"id":"W2150486569","doi":"10.1080/03605302.2015.1081609","title":"Singular Ricci Solitons and Their Stability under the Ricci Flow","year":2015,"lang":"en","type":"article","venue":"Communications in Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Mathematics; Ricci flow; Singularity; Flow (mathematics); Mathematical analysis; Singular point of a curve; Stability (learning theory); Sobolev space; Curvature; Metric (unit); Ricci curvature; Pure mathematics; Mathematical physics; Geometry","score_opus":0.20304360706441407,"score_gpt":0.357126160693978,"score_spread":0.15408255362956394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150486569","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23813438,0.0015109642,0.75096166,0.005971592,0.00025521623,0.0006527126,0.000046289606,0.00010955302,0.0023576093],"genre_scores_gemma":[0.99603075,0.000072931,0.0034131957,0.00006763976,0.00007128976,0.00014720041,0.00008981895,0.000018789598,0.0000883871],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9977116,0.0009131373,0.0005706474,0.0002564893,0.00026427372,0.00028384198],"domain_scores_gemma":[0.99482566,0.0023851986,0.00016757338,0.0022414224,0.00024092066,0.00013923665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011359394,0.0002069148,0.00032640313,0.00018143056,0.0005116847,0.00016908531,0.0008471533,0.000118537886,0.00011807756],"category_scores_gemma":[0.0020597454,0.00013878715,0.00013175057,0.0010352326,0.00036131853,0.00017085153,0.0005545174,0.00042229227,0.000021016656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044323184,0.0024672854,0.0030099067,0.000029994038,0.00034249213,5.5735643e-7,0.012155136,0.00082743936,0.0006479622,0.9675216,0.0022261909,0.010727104],"study_design_scores_gemma":[0.0012557436,0.00006847166,0.009740034,0.000040250667,0.0003528991,0.0000037240936,0.009188536,0.5668205,0.000347176,0.40621954,0.0054559414,0.0005072015],"about_ca_topic_score_codex":0.00017049024,"about_ca_topic_score_gemma":0.00157158,"teacher_disagreement_score":0.75789636,"about_ca_system_score_codex":0.00010228969,"about_ca_system_score_gemma":0.00011785138,"threshold_uncertainty_score":0.56595755},"labels":[],"label_agreement":null},{"id":"W2150888471","doi":"10.1215/s0012-7094-04-12416-9","title":"Geometric inequalities on locally conformally flat manifolds","year":2004,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":88,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conformal map; Mathematical analysis; Pure mathematics; Partial differential equation; Nonlinear system; Physics","score_opus":0.042711849510807295,"score_gpt":0.2911487549455886,"score_spread":0.2484369054347813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150888471","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40835452,0.00027325508,0.49654973,0.0017820931,0.00042468373,0.00039198453,0.000018638377,0.000207805,0.09199727],"genre_scores_gemma":[0.96556526,0.000059015518,0.03103176,0.0007678147,0.00049221475,0.000011657562,0.0000062916165,0.000060296774,0.002005683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963396,0.00008582071,0.0012262475,0.00025890928,0.0014084948,0.00068091956],"domain_scores_gemma":[0.99754417,0.0007885637,0.00044178788,0.00047190554,0.0003236483,0.00042991084],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0018083036,0.0003885463,0.0007840808,0.000992824,0.00029582312,0.0004121648,0.0005502444,0.00023439662,0.0020907933],"category_scores_gemma":[0.0022251182,0.00027023925,0.00050158444,0.0014135378,0.00009124415,0.0003095369,0.00009672589,0.0008498473,0.00092350657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046596437,0.0004894976,0.000042227646,0.000178372,0.00028155322,0.00020419223,0.000682398,0.00021742184,0.000044968034,0.9905683,0.00436773,0.0028767823],"study_design_scores_gemma":[0.0021452815,0.0006088831,0.00020398265,0.0003876749,0.00026782777,0.0012668495,0.001412166,0.00030568003,0.00076540123,0.9876295,0.0044258526,0.00058090396],"about_ca_topic_score_codex":0.000003639486,"about_ca_topic_score_gemma":0.0000040822765,"teacher_disagreement_score":0.55721074,"about_ca_system_score_codex":0.00020894788,"about_ca_system_score_gemma":0.00014161994,"threshold_uncertainty_score":0.99997497},"labels":[],"label_agreement":null},{"id":"W2151891183","doi":"10.1142/s1793525313500179","title":"LINEAR BOUNDS FOR LENGTHS OF GEODESIC SEGMENTS ON RIEMANNIAN 2-SPHERES","year":2013,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Geodesic; Mathematics; Riemannian manifold; Diffeomorphism; SPHERES; Integer (computer science); Combinatorics; Manifold (fluid mechanics); Geodesic map; Pure mathematics; Mathematical analysis; Physics","score_opus":0.02869404166066225,"score_gpt":0.3235735148479924,"score_spread":0.29487947318733015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2151891183","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9796252,0.0005022481,0.018528646,0.0007843426,0.00007629887,0.00007626192,0.000006337016,0.0000036310826,0.00039701548],"genre_scores_gemma":[0.9881088,0.00009038691,0.010352737,0.00013131803,0.000113732356,0.000003102395,0.000002742821,0.00000716054,0.0011900222],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885726,0.0000704773,0.0006036174,0.0001173203,0.00019069198,0.00016061026],"domain_scores_gemma":[0.99827397,0.00046744736,0.0006769276,0.0001670349,0.00033291476,0.00008168228],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004721654,0.000117395335,0.0007165153,0.0005457111,0.00008169101,0.000020456991,0.00014810827,0.00012333757,0.000759029],"category_scores_gemma":[0.00043120087,0.00008002785,0.00054157677,0.000632186,0.00008702805,0.000104230014,0.000019911287,0.00015230001,0.0000033523813],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011371581,0.0051163146,0.58484983,0.0010138626,0.10290842,0.00007182791,0.0037813894,0.003484872,0.003992577,0.08423101,0.11817908,0.091233656],"study_design_scores_gemma":[0.010894513,0.008872229,0.19856054,0.00035463466,0.07331843,0.0001523152,0.015403671,0.04954861,0.0074957646,0.6127678,0.02068581,0.0019456863],"about_ca_topic_score_codex":0.000039426588,"about_ca_topic_score_gemma":0.000045833607,"teacher_disagreement_score":0.5285368,"about_ca_system_score_codex":0.000013922992,"about_ca_system_score_gemma":0.000021363101,"threshold_uncertainty_score":0.83108354},"labels":[],"label_agreement":null},{"id":"W2152720459","doi":"10.1007/978-1-4939-2441-7_18","title":"Polite Actions of Non-compact Lie Groups","year":2015,"lang":"en","type":"book-chapter","venue":"Fields Institute communications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Politeness; Action (physics); Lie group; Invariant (physics); Mathematics; Pure mathematics; Group (periodic table); Symmetry group; Algebra over a field; Theoretical physics; Linguistics; Philosophy; Geometry; Physics; Mathematical physics; Quantum mechanics","score_opus":0.24644858344435358,"score_gpt":0.38216649680229603,"score_spread":0.13571791335794245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2152720459","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00008614459,0.0018057011,0.0057494454,0.001408302,0.0003294334,0.00029836077,0.00015457388,0.00007262112,0.99009544],"genre_scores_gemma":[0.30099958,0.0032355795,0.01744654,0.0001949311,0.00040275225,0.000032915243,0.00089387706,0.000097820805,0.676696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984487,0.00003110882,0.000721496,0.00022914479,0.0003727533,0.00019677456],"domain_scores_gemma":[0.99441105,0.00037644952,0.0006010516,0.003955983,0.00050805026,0.00014744228],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033187697,0.00031474332,0.0007214077,0.0005031232,0.00023350885,0.000039090515,0.0015686363,0.00060106954,0.00054586725],"category_scores_gemma":[0.0003469487,0.00029777014,0.00043071125,0.00026093432,0.00029422584,0.00019938924,0.00041030435,0.0010490533,0.00013902452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033139643,0.00011222296,0.000012864141,0.000053651722,0.00035093297,0.0000011961083,0.00028995675,0.000014589704,0.0000040636774,0.91239905,0.08514911,0.0016090177],"study_design_scores_gemma":[0.00016787961,0.00003942741,0.000032962216,0.00019327003,0.00044739738,0.0000068873865,0.00006359911,0.0001252158,0.000005459695,0.22737683,0.7712776,0.00026346886],"about_ca_topic_score_codex":0.00018353478,"about_ca_topic_score_gemma":0.0009746167,"teacher_disagreement_score":0.6861285,"about_ca_system_score_codex":0.00011157197,"about_ca_system_score_gemma":0.00026747386,"threshold_uncertainty_score":0.9999474},"labels":[],"label_agreement":null},{"id":"W2152957748","doi":"10.1007/s40316-015-0037-3","title":"Gaussian measures on the of space of Riemannian metrics","year":2015,"lang":"fr","type":"article","venue":"Annales mathématiques du Québec","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; McGill University","funders":"","keywords":"Riemannian manifold; Mathematics; Statistical manifold; Manifold (fluid mechanics); Information geometry; Lipschitz continuity; Dimension (graph theory); Metric space; Riemannian geometry; Fisher information metric; Metric (unit); Gaussian; Pure mathematics; Mathematical analysis; Space (punctuation); Scalar curvature; Geometry; Injective metric space; Computer science; Physics","score_opus":0.06644374897022404,"score_gpt":0.2792039794402718,"score_spread":0.21276023047004777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2152957748","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7362864,0.06678877,0.013261477,0.09556251,0.00083405565,0.0010785596,0.00015886987,0.00013026618,0.085899115],"genre_scores_gemma":[0.98472464,0.00084578624,0.0036477505,0.00036867478,0.00023645193,0.000018069099,0.000006313763,0.00006227862,0.010090044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9962302,0.000618452,0.0011488385,0.0003281201,0.0012473032,0.0004271217],"domain_scores_gemma":[0.9943135,0.0018433431,0.0012254706,0.0010698325,0.0012945599,0.00025331075],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0030595663,0.00043791893,0.0010667497,0.0005580157,0.00009507122,0.00007620034,0.00074992847,0.00040644663,0.0005662703],"category_scores_gemma":[0.007574025,0.00029349056,0.00055742037,0.0021146059,0.0005299163,0.0002161187,0.0001542074,0.0005820195,0.00020518545],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009780403,0.0015507793,0.0048554298,0.0011412734,0.001082201,0.000025823496,0.019435672,0.00018104035,0.00006927434,0.56032443,0.40274286,0.0084934365],"study_design_scores_gemma":[0.0011565693,0.0019777566,0.0049898354,0.002121397,0.0020811725,0.00006508055,0.0140483985,0.0056224144,0.012549236,0.078005,0.8762005,0.0011826297],"about_ca_topic_score_codex":0.015743725,"about_ca_topic_score_gemma":0.01325999,"teacher_disagreement_score":0.4823194,"about_ca_system_score_codex":0.00018140527,"about_ca_system_score_gemma":0.0010064313,"threshold_uncertainty_score":0.9999517},"labels":[],"label_agreement":null},{"id":"W2155589502","doi":"10.1016/j.anihpc.2010.11.001","title":"An inverse function theorem in Fréchet spaces","year":2010,"lang":"en","type":"article","venue":"Annales de l Institut Henri Poincaré C Analyse Non Linéaire","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Inverse function theorem; Mathematics; Differentiable function; Lebesgue integration; Dominated convergence theorem; Inverse; Pure mathematics; Convergence (economics); Mathematical analysis; Picard–Lindelöf theorem; Rate of convergence; Fixed-point theorem; Compact convergence; Key (lock); Geometry","score_opus":0.02495638988455327,"score_gpt":0.2991217362924161,"score_spread":0.27416534640786283,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2155589502","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9840921,0.00016426019,0.007305005,0.00038600218,0.00033276944,0.00023904149,0.00001322873,0.00014285647,0.007324701],"genre_scores_gemma":[0.99201053,0.0000704151,0.0060811136,0.0006366649,0.0005427123,0.00003207161,0.00008115672,0.000045545,0.0004997843],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973543,0.00017716481,0.0006971075,0.0006466614,0.00049742835,0.0006272869],"domain_scores_gemma":[0.99787486,0.00018083943,0.00030882715,0.0010264859,0.00025507613,0.00035390706],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015151217,0.00042892364,0.0006861341,0.0010483463,0.00023777703,0.00021919337,0.0005482982,0.00048967305,0.00043944508],"category_scores_gemma":[0.00060983805,0.0003713068,0.0004066078,0.0020808226,0.00022371998,0.00086516776,0.000083636296,0.0010764592,0.00014192193],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007492222,0.00409015,0.67084205,0.00054301467,0.0017711216,0.0007610673,0.010871328,0.0056462525,0.024072515,0.20016395,0.02389876,0.056590598],"study_design_scores_gemma":[0.006915711,0.0015201695,0.26367563,0.00046807306,0.0037329039,0.0002555834,0.02441588,0.27378598,0.005709051,0.31550336,0.09885673,0.0051609017],"about_ca_topic_score_codex":0.00059030287,"about_ca_topic_score_gemma":0.020423101,"teacher_disagreement_score":0.4071664,"about_ca_system_score_codex":0.00008073647,"about_ca_system_score_gemma":0.0002544584,"threshold_uncertainty_score":0.9998739},"labels":[],"label_agreement":null},{"id":"W2157275326","doi":"10.1088/0264-9381/30/9/095004","title":"Three-dimensional spacetimes of maximal order","year":2013,"lang":"en","type":"article","venue":"Classical and Quantum Gravity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Dalhousie University; Universitetet i Stavanger; Fonds Wetenschappelijk Onderzoek; Universiteit Utrecht; Natural Sciences and Engineering Research Council of Canada; Universiteit Gent","keywords":"Physics; Covariant derivative; Riemann curvature tensor; Covariant transformation; Mathematical physics; Ricci curvature; Weyl tensor; Formalism (music); Curvature; Equivalence (formal languages); Ricci decomposition; Einstein tensor; Pure mathematics; Geometry; Mathematics","score_opus":0.027881305258514764,"score_gpt":0.2635598212697556,"score_spread":0.23567851601124082,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157275326","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9935676,0.0001978385,0.0038971917,0.0016177738,0.00006633383,0.00012675414,0.0000065990007,0.000025937366,0.00049399555],"genre_scores_gemma":[0.99370664,0.0000048341194,0.005505485,0.00006061255,0.00005979269,0.000008778784,0.000004816234,0.000009977117,0.00063908857],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990142,0.000031285013,0.00025559004,0.00021861232,0.00027488775,0.00020541647],"domain_scores_gemma":[0.99910384,0.0002775467,0.00010600534,0.00020731302,0.00017748702,0.00012779409],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001852578,0.0001412681,0.00037859846,0.00007601194,0.00006941632,0.00002712105,0.0000907434,0.00011453816,0.00064704847],"category_scores_gemma":[0.0002906829,0.00009334896,0.000114414834,0.0003882816,0.00018220306,0.00008408443,0.00008688723,0.00017681225,0.000057426892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006030095,0.0012940184,0.02817811,0.00020590365,0.00026731627,0.000009938101,0.00010097738,0.0000038442918,0.0037701533,0.831376,0.111071326,0.023662115],"study_design_scores_gemma":[0.0005201661,0.00018679824,0.11649798,0.000032882712,0.00013050533,0.0000102717595,0.000058473295,0.019092191,0.00029392206,0.85912603,0.0037764497,0.0002743381],"about_ca_topic_score_codex":0.00011336193,"about_ca_topic_score_gemma":0.000053384272,"teacher_disagreement_score":0.10729487,"about_ca_system_score_codex":0.0000067340907,"about_ca_system_score_gemma":0.00002175673,"threshold_uncertainty_score":0.70847267},"labels":[],"label_agreement":null},{"id":"W2157989893","doi":"10.1017/fms.2015.20","title":"THE MULTI-MARGINAL OPTIMAL PARTIAL TRANSPORT PROBLEM","year":2015,"lang":"en","type":"preprint","venue":"Forum of Mathematics Sigma","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Toronto","funders":"Division of Mathematical Sciences; University of Alberta; National Science Foundation","keywords":"Uniqueness; Mathematical optimization; Monotonic function; Exploit; Mathematics; Marginal cost; Mathematical economics; Computer science; Economics","score_opus":0.059300098560875376,"score_gpt":0.30868084971879445,"score_spread":0.24938075115791908,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157989893","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19847006,0.0032520182,0.7717137,0.0027130325,0.0016633879,0.0048343455,0.0005347552,0.0004953935,0.016323337],"genre_scores_gemma":[0.47691938,0.00016939496,0.5153691,0.000031028307,0.00032613956,0.0003428893,0.00013328483,0.00020164058,0.0065070977],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99561614,0.00009805324,0.0017142094,0.00053864816,0.0013121398,0.00072082964],"domain_scores_gemma":[0.9953861,0.00068015687,0.0015022593,0.0015705469,0.000639677,0.0002212473],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0027281283,0.00062367547,0.0013917915,0.00022424923,0.00020769236,0.00011155392,0.0013365684,0.00050625444,0.000106438194],"category_scores_gemma":[0.00073268695,0.00040796367,0.00085124467,0.00044080472,0.0002230768,0.00008707497,0.0005453898,0.00096188765,0.00003532333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00044115816,0.013587247,0.0029924295,0.019000484,0.009477699,0.00015170754,0.024626572,0.02824814,0.00026696848,0.6918988,0.19815373,0.011155035],"study_design_scores_gemma":[0.002975964,0.0005142971,0.000116720075,0.0017978575,0.003778324,0.000058703434,0.00821824,0.15709342,0.0013231845,0.7653562,0.056428727,0.0023383722],"about_ca_topic_score_codex":0.000032596126,"about_ca_topic_score_gemma":0.000098828226,"teacher_disagreement_score":0.27844933,"about_ca_system_score_codex":0.00008052828,"about_ca_system_score_gemma":0.00034712034,"threshold_uncertainty_score":0.9998372},"labels":[],"label_agreement":null},{"id":"W2159046074","doi":"10.4153/cmb-2000-052-6","title":"On the Existence of a New Class of Contact Metric Manifolds","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Class (philosophy); Pure mathematics; Metric (unit); Algebra over a field; Epistemology","score_opus":0.032923361564108244,"score_gpt":0.251615658119476,"score_spread":0.21869229655536776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2159046074","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6274232,0.0002647221,0.0012260346,0.008003258,0.000045306184,0.0006213969,0.000040489856,0.00003095441,0.3623446],"genre_scores_gemma":[0.98293626,0.000012340577,0.0020711934,0.00054953725,0.00003600504,0.000009841888,0.0000019274269,0.000022958608,0.014359916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830806,0.00008402029,0.00060100015,0.00020785937,0.0004531026,0.0003459602],"domain_scores_gemma":[0.99696106,0.001755815,0.0001743514,0.00064794783,0.00009435451,0.0003664767],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006815912,0.00018821281,0.0005530955,0.00031761976,0.00006044656,0.000025055271,0.00047429968,0.00013151634,0.10193311],"category_scores_gemma":[0.002206413,0.00012049897,0.00025753508,0.0010950806,0.00007617626,0.000015938791,0.000015714948,0.00020406063,0.0021910656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013415892,0.00010588268,0.000017649754,0.00011312547,0.000101418904,0.000011382829,0.0002547387,0.0000048835905,0.000018737877,0.88988745,0.10697285,0.0024984346],"study_design_scores_gemma":[0.0007279056,0.0003768308,0.00075977424,0.00046463026,0.00038962573,0.000029238263,0.0007087215,0.0005883997,0.00059081503,0.86698526,0.12790857,0.00047025073],"about_ca_topic_score_codex":0.0016129586,"about_ca_topic_score_gemma":0.0005982321,"teacher_disagreement_score":0.35551304,"about_ca_system_score_codex":0.000070855625,"about_ca_system_score_gemma":0.00017908371,"threshold_uncertainty_score":0.9985858},"labels":[],"label_agreement":null},{"id":"W2160545245","doi":"10.1353/ajm.2015.0024","title":"Multi-marginal optimal transport on Riemannian manifolds","year":2015,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Mathematics; Factorization; Riemannian manifold; Manifold (fluid mechanics); Graph; Weierstrass factorization theorem; Pure mathematics; Polar; Function (biology); Combinatorics","score_opus":0.05645886934817691,"score_gpt":0.31223145469262015,"score_spread":0.25577258534444325,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160545245","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86236936,0.0000704731,0.13483512,0.00042323756,0.00018958899,0.00012198978,0.0000066651123,0.000032798755,0.0019507915],"genre_scores_gemma":[0.6632906,0.000016466016,0.33587,0.00011038609,0.00016905743,0.000002029273,0.0000011885875,0.000038729933,0.0005015533],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.9973244,0.00009060441,0.0010380782,0.0001702611,0.0010360145,0.00034061942],"domain_scores_gemma":[0.99698585,0.00033257177,0.0013525599,0.00040701876,0.00050833105,0.00041365414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017441913,0.00028744037,0.00097261847,0.00042499485,0.000055858032,0.000041755622,0.0004939419,0.00005926154,0.00007958055],"category_scores_gemma":[0.0006296216,0.00020867832,0.0004171831,0.0008441627,0.00015285939,0.00016526593,0.000024563853,0.00042444761,0.00005773775],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0039006248,0.072182074,0.033547383,0.0029083672,0.018807083,0.010486062,0.18274955,0.02435065,0.0024600022,0.2467739,0.21288694,0.18894736],"study_design_scores_gemma":[0.043588445,0.061992057,0.030924167,0.00589389,0.017095476,0.017212842,0.40221983,0.073929556,0.0045267516,0.16729622,0.16348585,0.011834904],"about_ca_topic_score_codex":0.000009363797,"about_ca_topic_score_gemma":0.0000061599426,"teacher_disagreement_score":0.21947029,"about_ca_system_score_codex":0.00009560548,"about_ca_system_score_gemma":0.0001411686,"threshold_uncertainty_score":0.8509655},"labels":[],"label_agreement":null},{"id":"W2161436503","doi":"10.1142/s021827181350003x","title":"SPACETIMES WITH ALL SCALAR CURVATURE INVARIANTS IN TERMS OF A COSMOLOGICAL CONSTANT","year":2013,"lang":"en","type":"article","venue":"International Journal of Modern Physics D","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Covariant transformation; Riemann curvature tensor; Scalar curvature; Invariant (physics); Curvature; Scalar (mathematics); Cosmological constant; Polynomial","score_opus":0.033393597937641815,"score_gpt":0.2906642935336356,"score_spread":0.2572706955959938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2161436503","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9352065,0.0001451371,0.06003689,0.0014066148,0.00015994113,0.00015220151,0.000014567537,0.0000073270935,0.0028708405],"genre_scores_gemma":[0.9911645,0.000028968294,0.008420483,0.00015722652,0.00013547798,0.000002978409,0.0000038698217,0.0000121135245,0.00007435743],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99837697,0.000058488855,0.00053154153,0.00012203144,0.00076379755,0.00014718149],"domain_scores_gemma":[0.9983064,0.00022089253,0.000672281,0.00013575537,0.00059692236,0.00006774421],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000282266,0.00014160381,0.0004218284,0.00019359803,0.00001064491,0.000053814307,0.00043471137,0.00008320834,0.00013086027],"category_scores_gemma":[0.00017917797,0.00009030148,0.00015388928,0.00022706988,0.00007508943,0.00031653582,0.000060721002,0.00034315157,0.0000061614173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011762436,0.00966461,0.37778366,0.00018777509,0.009929746,0.0012966432,0.005669031,0.00798621,0.033173595,0.44493937,0.024358226,0.0838349],"study_design_scores_gemma":[0.0017676016,0.00023411207,0.013173079,0.00027607233,0.000117700794,0.00015856625,0.000099273246,0.005254973,0.0013322926,0.97718716,0.00020378202,0.0001953617],"about_ca_topic_score_codex":0.0000184979,"about_ca_topic_score_gemma":0.000008414438,"teacher_disagreement_score":0.53224784,"about_ca_system_score_codex":0.00005516562,"about_ca_system_score_gemma":0.00005160909,"threshold_uncertainty_score":0.36823875},"labels":[],"label_agreement":null},{"id":"W2162266233","doi":"10.1007/s00526-011-0431-x","title":"Lagrangian mean curvature flow for entire Lipschitz graphs","year":2011,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lipschitz continuity; Mean curvature flow; Curvature; Hessian matrix; Graph; Bounded function; Norm (philosophy); Flow (mathematics); Regular polygon; Lagrangian; Mathematical analysis; Mean curvature; Combinatorics; Applied mathematics; Geometry","score_opus":0.06268079182189494,"score_gpt":0.2854970295622587,"score_spread":0.22281623774036374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2162266233","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011425318,0.0001927519,0.9866598,0.000110687586,0.000310039,0.00042819642,0.00021897267,0.00004759532,0.0006066441],"genre_scores_gemma":[0.98877805,0.000022423725,0.010411272,0.000021779455,0.00014040027,0.000098929384,0.00018910803,0.000021831152,0.0003162138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99864006,0.00007589325,0.0005167416,0.00027803102,0.00023194774,0.0002572999],"domain_scores_gemma":[0.998652,0.00034248922,0.0002496535,0.00032433783,0.0002918258,0.0001397188],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022753653,0.00019565798,0.00037219186,0.00027123548,0.0003173359,0.00005321239,0.00015897321,0.00017478516,0.000557253],"category_scores_gemma":[0.00050807715,0.00016656479,0.00032345354,0.0005941482,0.00007272141,0.00015437143,0.00004455043,0.00012913233,0.0000051062943],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002679638,0.00038051544,0.00007219571,0.000051400217,0.0002918439,2.734256e-7,0.0018875134,0.000010415371,0.00044639772,0.9934886,0.0005156495,0.002828377],"study_design_scores_gemma":[0.003256998,0.0005025841,0.0072239046,0.000109957364,0.004383194,0.000003702862,0.0006947916,0.8195545,0.0021357613,0.15863661,0.0025214865,0.00097650895],"about_ca_topic_score_codex":0.00008978666,"about_ca_topic_score_gemma":0.00020502531,"teacher_disagreement_score":0.97735274,"about_ca_system_score_codex":0.0000103652,"about_ca_system_score_gemma":0.00004249185,"threshold_uncertainty_score":0.6792315},"labels":[],"label_agreement":null},{"id":"W2163232452","doi":"10.1016/j.aim.2018.02.008","title":"Singularities of mean convex level set flow in general ambient manifolds","year":2018,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Mathematics; Infimum and supremum; Norm (philosophy); Mean curvature flow; Uniform norm; Regular polygon; Pure mathematics; Mathematical analysis; Curvature; Flow (mathematics); Gravitational singularity; Convex set; Scalar curvature; Geometry; Convex optimization","score_opus":0.06744404999965618,"score_gpt":0.33833911549257134,"score_spread":0.27089506549291514,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2163232452","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8567931,0.007230451,0.11936142,0.00010896333,0.0016327006,0.0016847408,0.00042258253,0.0001141075,0.012651913],"genre_scores_gemma":[0.42508414,0.0012031238,0.57126313,0.00005042182,0.0002996131,0.00010258474,0.00011211964,0.00010944821,0.0017754247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963395,0.00013774468,0.0016761301,0.00056567066,0.0008073266,0.00047365727],"domain_scores_gemma":[0.9971187,0.0004408433,0.000956737,0.001146091,0.00026728483,0.00007035818],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015496366,0.00052654574,0.0015941178,0.00078532845,0.00003835715,0.000059930866,0.0007683384,0.00047736708,0.00021100337],"category_scores_gemma":[0.00081715616,0.00048361442,0.00031660334,0.00073781,0.00020530281,0.00014124629,0.00066813367,0.0006468267,0.000013092313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002788535,0.0125368545,0.034882233,0.08640309,0.0024451953,0.00048896874,0.10907148,0.0628594,0.00055894133,0.650981,0.015773928,0.023720074],"study_design_scores_gemma":[0.00063132745,0.000072186114,0.000529744,0.0019165928,0.00017973848,0.000010374955,0.002056018,0.041811172,0.0006120677,0.95025176,0.0012554297,0.0006735728],"about_ca_topic_score_codex":0.00004608012,"about_ca_topic_score_gemma":0.0009143575,"teacher_disagreement_score":0.4519017,"about_ca_system_score_codex":0.00016257651,"about_ca_system_score_gemma":0.00010524921,"threshold_uncertainty_score":0.9997616},"labels":[],"label_agreement":null},{"id":"W2164205876","doi":"10.4171/jems/638","title":"Bounds on the Bondi energy by a flux of curvature","year":2016,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Curvature; Flux (metallurgy); Energy (signal processing); Mathematical physics; Mathematical analysis; Geometry; Statistics","score_opus":0.020159164427587674,"score_gpt":0.24075578375523005,"score_spread":0.22059661932764238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2164205876","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5086748,0.002236921,0.18398888,0.0767825,0.0012887096,0.0006897309,0.00010483228,0.00011144235,0.22612216],"genre_scores_gemma":[0.9791943,0.000070876864,0.0029634102,0.0010438293,0.0004064938,0.0000013109718,3.6231373e-7,0.000054071985,0.016265374],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973725,0.00052891875,0.0008278157,0.00012758093,0.00090182055,0.0002413264],"domain_scores_gemma":[0.99635804,0.0016956492,0.0010255246,0.00059590116,0.00022664976,0.00009822172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031182438,0.00020210244,0.00046990789,0.000031592983,0.00015085949,0.000052004798,0.0009898555,0.000081507824,0.00046497546],"category_scores_gemma":[0.001960338,0.00006751479,0.0012452744,0.00049405027,0.00021116564,0.000085422034,0.0001699002,0.00038998973,0.000034072487],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014183512,0.00040058634,0.00004593351,0.00005475628,0.0005314796,0.0000030099457,0.00059245323,0.0000010800642,0.005146356,0.13885833,0.852562,0.0017898263],"study_design_scores_gemma":[0.0016393454,0.00038545096,0.00060261635,0.0013981736,0.001050796,0.00013545944,0.000988104,0.00016349816,0.008013602,0.7784662,0.20668522,0.0004714775],"about_ca_topic_score_codex":4.5234844e-7,"about_ca_topic_score_gemma":2.2812043e-7,"teacher_disagreement_score":0.64587677,"about_ca_system_score_codex":0.000055269928,"about_ca_system_score_gemma":0.00003276344,"threshold_uncertainty_score":0.5091155},"labels":[],"label_agreement":null},{"id":"W2165571892","doi":"","title":"Characterizations of timelike slant helices in Minkowski 3-space","year":2014,"lang":"en","type":"article","venue":"Hrčak Portal of scientific journals of Croatia (University Computing Centre)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Frenet–Serret formulas; Minkowski space; Tangent; Mathematics; Curvature; Mathematical analysis; Helix (gastropod); Space (punctuation); Pure mathematics; Geometry; Computer science","score_opus":0.023514135611710334,"score_gpt":0.2521335975952938,"score_spread":0.22861946198358346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2165571892","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98830837,0.00007773363,0.009371008,0.00020482886,0.00022402228,0.0000959696,0.000023686607,0.000011025565,0.0016833445],"genre_scores_gemma":[0.99351925,0.000013699097,0.0055932263,0.000004202984,0.000024641946,7.414054e-9,0.000016486272,0.000007807191,0.0008206994],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.998115,0.00012027204,0.00064071,0.0002531673,0.0006107278,0.0002601342],"domain_scores_gemma":[0.9972196,0.00027971706,0.0014958783,0.0003256973,0.0005727963,0.00010628688],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015722145,0.00013804437,0.0005768005,0.0010792379,0.00013783791,0.000040602634,0.00045373788,0.00008072728,0.00032863318],"category_scores_gemma":[0.00030623155,0.00013908287,0.0002406704,0.0019937383,0.00021328109,0.00027118684,0.00013659615,0.00015548682,0.0000046531277],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027248132,0.006896609,0.43835062,0.0024661748,0.0017725183,0.00015148627,0.054168366,0.006326186,0.28429115,0.15819283,0.016628452,0.030483138],"study_design_scores_gemma":[0.006160737,0.000337398,0.7507244,0.0045196307,0.0014855424,0.00007584224,0.036475338,0.14433396,0.036978368,0.010640351,0.0065122456,0.001756232],"about_ca_topic_score_codex":0.000086194734,"about_ca_topic_score_gemma":0.00014592106,"teacher_disagreement_score":0.31237373,"about_ca_system_score_codex":0.000020965905,"about_ca_system_score_gemma":0.00007968442,"threshold_uncertainty_score":0.5671635},"labels":[],"label_agreement":null},{"id":"W2168359755","doi":"10.1007/s00222-015-0604-x","title":"Sharp eigenvalue bounds and minimal surfaces in the ball","year":2015,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":122,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Minimal surface; Upper and lower bounds; Ball (mathematics); Boundary (topology); Embedding; Multiplicity (mathematics); Unit sphere; Eigenvalues and eigenvectors; Invariant (physics); Second fundamental form","score_opus":0.15772311581039994,"score_gpt":0.3411291529912283,"score_spread":0.18340603718082837,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2168359755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9827536,0.0007744688,0.0018178556,0.0011515939,0.00008190286,0.00030395045,0.000005083588,0.000045126108,0.013066415],"genre_scores_gemma":[0.9902139,0.000015295609,0.008187408,0.000116299474,0.0000622355,0.000043294862,0.00000601984,0.00001744696,0.0013381062],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99840057,0.00015858731,0.00047573695,0.00021910555,0.0005084488,0.00023754252],"domain_scores_gemma":[0.9988513,0.00043436378,0.00016312583,0.00037329725,0.00009044909,0.000087448796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022353868,0.00016960643,0.00033361325,0.00017731938,0.00008055643,0.00017333793,0.00029283256,0.00008823594,0.00015839587],"category_scores_gemma":[0.0009914681,0.00010780325,0.0001108296,0.00069183845,0.000088893874,0.0001827825,0.000074396106,0.00015100904,0.0000963961],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023426308,0.0010544971,0.006786245,0.00047993954,0.0001704236,0.000034319324,0.013156673,0.00001391912,0.00006866761,0.9450238,0.031975236,0.0012128507],"study_design_scores_gemma":[0.0005677584,0.00006912205,0.004546402,0.00008835222,0.00013717325,0.00005088892,0.006220863,0.0029229901,0.00002310251,0.9817134,0.0034462775,0.0002136398],"about_ca_topic_score_codex":0.000024100367,"about_ca_topic_score_gemma":0.00011052559,"teacher_disagreement_score":0.036689628,"about_ca_system_score_codex":0.000025400452,"about_ca_system_score_gemma":0.000031917574,"threshold_uncertainty_score":0.4396089},"labels":[],"label_agreement":null},{"id":"W2169047718","doi":"10.1007/s00526-016-1052-1","title":"Dynamics of optimal partial transport","year":2016,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Lipschitz continuity; Mathematics; Boundary (topology); Mass transport; Lambda; Function (biology); Quadratic equation; Unit (ring theory); Mathematical analysis; Combinatorics; Geometry; Physics","score_opus":0.029686755327115927,"score_gpt":0.27948446325060705,"score_spread":0.24979770792349112,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169047718","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.113464706,0.000026116762,0.8854031,0.00040738785,0.00011516278,0.00014282337,0.00022179354,0.000019543846,0.0001993388],"genre_scores_gemma":[0.9982323,0.000021591502,0.0012474094,0.000004228194,0.00008794291,0.000022996563,0.00006198137,0.000012925637,0.00030861155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99859077,0.0000650551,0.00065962586,0.00020500612,0.00028750216,0.00019206794],"domain_scores_gemma":[0.9986449,0.0004603543,0.00029671993,0.0002732244,0.00022371375,0.00010112682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001932714,0.00014413067,0.00038341768,0.00018659615,0.00010900916,0.000012724075,0.00012222122,0.00011847221,0.00071877084],"category_scores_gemma":[0.00040600036,0.00010069031,0.0002071256,0.00040190728,0.00012587346,0.00013604024,0.00003139865,0.00006400536,0.0000039399993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024207238,0.00029715404,0.0003360899,0.000027909387,0.0001656496,3.7243151e-7,0.0002222523,0.000059535694,0.0028089008,0.99285865,0.000038718634,0.0031605365],"study_design_scores_gemma":[0.004438263,0.0005698129,0.015595187,0.0002203838,0.0031749974,0.0000047096714,0.00034371472,0.9384746,0.012308537,0.023392016,0.00058917823,0.0008886138],"about_ca_topic_score_codex":0.0000646993,"about_ca_topic_score_gemma":0.000082785715,"teacher_disagreement_score":0.9694667,"about_ca_system_score_codex":0.000018201798,"about_ca_system_score_gemma":0.000061106024,"threshold_uncertainty_score":0.7870037},"labels":[],"label_agreement":null},{"id":"W2171111180","doi":"10.1137/130930443","title":"A General Condition for Monge Solutions in the Multi-Marginal Optimal Transport Problem","year":2014,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Université Paris-Est Créteil Val-de-Marne; Korea Advanced Institute of Science and Technology; University of Alberta","keywords":"Uniqueness; Mathematics; Function (biology); Mathematical optimization; Applied mathematics; Mathematical economics; Mathematical analysis","score_opus":0.05304261678955045,"score_gpt":0.322956299261604,"score_spread":0.26991368247205355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2171111180","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15025,0.000035537858,0.84656537,0.0016172888,0.000027376576,0.00035978097,0.000019195688,0.000024301902,0.001101148],"genre_scores_gemma":[0.8330219,0.0000135506325,0.1656673,0.00020792503,0.00023228237,0.00011122479,0.00003608232,0.000024580757,0.0006851671],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99706936,0.00030176036,0.0010144118,0.0003070912,0.0007671206,0.00054024544],"domain_scores_gemma":[0.997814,0.0010455567,0.00037582486,0.00039217007,0.00020610253,0.00016635454],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038691785,0.00028517665,0.00084617804,0.0008672419,0.00037678864,0.00014567938,0.00044886605,0.0001319218,0.00043180777],"category_scores_gemma":[0.000609247,0.00016845939,0.0012420875,0.0021297757,0.00007558241,0.00016588286,0.000016387152,0.00055037404,0.000035845256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019511822,0.006112502,0.0019376867,0.00042686964,0.0055725854,0.000066584646,0.0032261584,0.052369863,0.00014686002,0.9210635,0.00408539,0.0047969017],"study_design_scores_gemma":[0.0021098459,0.00046894184,0.00476725,0.00011215056,0.007495875,0.00010212977,0.0008310971,0.57403946,0.000019846075,0.40646538,0.003040346,0.00054769067],"about_ca_topic_score_codex":0.000004418766,"about_ca_topic_score_gemma":0.000056755493,"teacher_disagreement_score":0.6827719,"about_ca_system_score_codex":0.00007410551,"about_ca_system_score_gemma":0.00003237823,"threshold_uncertainty_score":0.6869574},"labels":[],"label_agreement":null},{"id":"W2174793261","doi":"10.4171/jst/142","title":"Zero and negative eigenvalues of the conformal Laplacian","year":2016,"lang":"en","type":"preprint","venue":"Journal of Spectral Theory","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies; Royal Society Te Apārangi; International Centre for Mathematical Sciences; University College London; Division of Mathematical Sciences; University of Auckland","keywords":"Conformal map; Eigenvalues and eigenvectors; Laplace operator; Zero (linguistics); Mathematics; Pure mathematics; Compact space; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.025799135633432623,"score_gpt":0.2849325012868592,"score_spread":0.2591333656534266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2174793261","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9654806,0.0027835967,0.010599454,0.0006543433,0.0008947836,0.0002643108,0.000044049542,0.000010340227,0.019268472],"genre_scores_gemma":[0.9957504,0.00043459763,0.0022976866,0.00005084285,0.00038281915,0.0000010203985,2.9372595e-7,0.000017970598,0.0010643472],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981678,0.00022654976,0.00079857785,0.00012553041,0.0004903271,0.0001911887],"domain_scores_gemma":[0.99674696,0.0006909792,0.0018570448,0.00032987288,0.00029025986,0.00008490862],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001918646,0.00022239075,0.00073653087,0.0002346715,0.00006254635,0.000042696985,0.0005018262,0.00021123543,0.00020484516],"category_scores_gemma":[0.0009334649,0.00010644445,0.0005803755,0.00017215424,0.00024101089,0.00011274584,0.00027038957,0.0007937158,0.00000187568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041973213,0.00019726905,0.0019492224,0.0003801075,0.0022144283,0.000022876866,0.0037665572,0.00002791998,0.0007878749,0.97838193,0.0032238925,0.008628192],"study_design_scores_gemma":[0.00039053222,0.00009516929,0.0035286918,0.00045973875,0.00044171725,0.000039953884,0.00053218834,0.000009120318,0.0033966182,0.99058825,0.00038276368,0.00013524659],"about_ca_topic_score_codex":0.0000024181597,"about_ca_topic_score_gemma":0.000002725671,"teacher_disagreement_score":0.030269772,"about_ca_system_score_codex":0.000053028867,"about_ca_system_score_gemma":0.00015624883,"threshold_uncertainty_score":0.43406788},"labels":[],"label_agreement":null},{"id":"W2177618587","doi":"10.6000/1927-5129.2015.11.75","title":"Exceptional Sets for Subharmonic Functions","year":2015,"lang":"en","type":"article","venue":"Journal of Basic & Applied Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Subharmonic; Hausdorff measure; Gravitational singularity; Mathematics; Hausdorff space; Class (philosophy); Mathematical analysis; Pure mathematics; Measure (data warehouse); Subharmonic function; Nonlinear system; Hausdorff dimension; Physics; Computer science; Artificial intelligence; Quantum mechanics","score_opus":0.1495782730035761,"score_gpt":0.3507959497219813,"score_spread":0.2012176767184052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2177618587","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8600683,0.0005053815,0.11896141,0.0018935626,0.0009628086,0.0002486112,0.000010176272,0.000023022958,0.017326687],"genre_scores_gemma":[0.97537905,0.0000057246593,0.023623407,0.00011124207,0.00037921476,0.0000074947907,0.000001059791,0.000005626026,0.00048717597],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851656,0.000020830406,0.00041250288,0.0001300832,0.0007273506,0.00019266189],"domain_scores_gemma":[0.998649,0.00034783478,0.0004256727,0.00009606173,0.000331718,0.00014968806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027314024,0.00009160589,0.00025278426,0.00030323598,0.00017831074,0.00008685297,0.0002936009,0.000048066533,0.00013990777],"category_scores_gemma":[0.00039679185,0.00006126934,0.00017556807,0.0008748099,0.000120865225,0.00018685724,0.000022997443,0.00013564565,0.000022988688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024957155,0.0010159647,0.0027281104,0.00007127489,0.00043055488,0.000008884332,0.0019795983,0.0022515345,0.0033093696,0.21049197,0.7351731,0.04229006],"study_design_scores_gemma":[0.0030161059,0.0011255319,0.0029272863,0.000049925125,0.0005877208,0.00018324242,0.0112441825,0.002629309,0.00075741595,0.88211167,0.09485762,0.00051000604],"about_ca_topic_score_codex":0.0000010638172,"about_ca_topic_score_gemma":0.0000054633115,"teacher_disagreement_score":0.67161965,"about_ca_system_score_codex":0.000051564624,"about_ca_system_score_gemma":0.00030308135,"threshold_uncertainty_score":0.24984911},"labels":[],"label_agreement":null},{"id":"W2183827353","doi":"","title":"The Structure of Some Classes of Sasakian Manifolds with respect to the Quarter-Symmetric Metric Connection","year":2010,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Mathematics; Metric (unit); Quarter (Canadian coin); Pure mathematics; Curvature; Mathematical analysis; Topology (electrical circuits); Fundamental theorem of Riemannian geometry; Geometry; Combinatorics; Scalar curvature; Geography","score_opus":0.013699712566857728,"score_gpt":0.26048801605984406,"score_spread":0.24678830349298633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2183827353","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9903699,0.00018710444,0.0032854804,0.0012445027,0.0002732977,0.00039577976,0.000013634417,0.00003155722,0.0041987207],"genre_scores_gemma":[0.9960077,0.000013672983,0.002924415,0.00006612383,0.00013369673,0.000004311507,0.0000017619403,0.000016494401,0.0008318274],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844897,0.00008343649,0.0004386824,0.00020906456,0.000597231,0.00022260573],"domain_scores_gemma":[0.9970372,0.0014410107,0.0003408972,0.000773212,0.00034419267,0.00006350222],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064599287,0.00016802845,0.0003554166,0.0007420516,0.00016330286,0.00006188892,0.0004545487,0.00011315187,0.00023430979],"category_scores_gemma":[0.0011820304,0.00006920573,0.0001453591,0.0059266347,0.00006492765,0.00009242746,0.000048846396,0.00029824977,0.000006919212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016668043,0.00027468955,0.0067503313,0.000116123476,0.0008457109,0.0000025049753,0.0007718472,0.00007678319,0.012851051,0.93938005,0.027044352,0.011719864],"study_design_scores_gemma":[0.004739872,0.006526932,0.28966063,0.0001550986,0.0038131685,0.00019957591,0.034757175,0.0028864525,0.20960017,0.33173385,0.11365088,0.0022761987],"about_ca_topic_score_codex":0.00017998485,"about_ca_topic_score_gemma":0.0041754963,"teacher_disagreement_score":0.6076462,"about_ca_system_score_codex":0.000017070797,"about_ca_system_score_gemma":0.000044319313,"threshold_uncertainty_score":0.28475514},"labels":[],"label_agreement":null},{"id":"W2192937778","doi":"10.1007/s12220-017-9797-0","title":"The Size of the Singular Set of a Type I Ricci Flow","year":2017,"lang":"en","type":"preprint","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Engineering and Physical Sciences Research Council; Deutsche Forschungsgemeinschaft","keywords":"Ricci flow; Mathematics; Type (biology); Context (archaeology); Euclidean geometry; Stratification (seeds); Curvature; Tangent; Dimension (graph theory); Mean curvature flow; Flow (mathematics); Mathematical analysis; Ricci curvature; Pure mathematics; Scalar curvature; Geometry; Geology","score_opus":0.04286698131519853,"score_gpt":0.31830875076414245,"score_spread":0.27544176944894394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2192937778","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9027475,0.03795916,0.04974664,0.0022970375,0.0029257273,0.0006758835,0.00016955103,0.000020882499,0.0034576126],"genre_scores_gemma":[0.9889216,0.0022025728,0.005997253,0.00001776822,0.00037120385,0.000002022979,0.000004626807,0.000031637563,0.0024513481],"study_design_codex":"meta_analysis","study_design_gemma":"meta_analysis","domain_scores_codex":[0.994049,0.00042618715,0.0024882415,0.0003161734,0.002359702,0.0003606829],"domain_scores_gemma":[0.97944576,0.0035873076,0.010862567,0.0024930148,0.0034719955,0.0001393877],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.005835249,0.00041761607,0.0026090143,0.0033045954,0.00034284117,0.00019043809,0.0031590199,0.00045466953,0.00027119435],"category_scores_gemma":[0.029780751,0.00020971733,0.004618065,0.014702555,0.00026377884,0.00009854449,0.0009409665,0.0013800296,0.0000029970126],"study_design_candidate":"meta_analysis","study_design_consensus":"meta_analysis","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010077836,0.0031990346,0.25551277,0.0032182597,0.35370958,0.00017611482,0.003991457,0.12905638,0.00037131767,0.002916879,0.11216912,0.1346713],"study_design_scores_gemma":[0.0045995126,0.0015181877,0.2737163,0.002212902,0.3854782,0.0001773128,0.004355883,0.06616484,0.0019833953,0.19708109,0.059501514,0.0032108626],"about_ca_topic_score_codex":0.00014671643,"about_ca_topic_score_gemma":0.000058506565,"teacher_disagreement_score":0.19416422,"about_ca_system_score_codex":0.00014114384,"about_ca_system_score_gemma":0.0004811464,"threshold_uncertainty_score":0.9783918},"labels":[],"label_agreement":null},{"id":"W2200357124","doi":"10.1016/j.aim.2014.05.001","title":"Corrigendum to “Toward best isoperimetric constants for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mo stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:mi>B</mml:mi><mml:mi>M</mml:mi><mml:mi>O</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>-normal conformal metrics on <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>, <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si3.gif\" overflow=\"scroll\"><mml:mi>n</mml:mi><mml:mo>≥</mml:mo><mml:mn>3</mml:mn></mml:math>” [Adv. Math. 220 (2) (2009) 540–559]","year":2014,"lang":"lv","type":"erratum","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Scroll; Isoperimetric inequality; Mathematics; Philosophy; Theology; Combinatorics","score_opus":0.02410902560870264,"score_gpt":0.25851706257530793,"score_spread":0.23440803696660528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2200357124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5292446,0.009210826,0.0058207344,0.001545922,0.018136464,0.0005309819,0.005461099,0.0019249932,0.4281244],"genre_scores_gemma":[0.9285303,0.011078709,0.017642323,0.004910528,0.009928697,0.009380309,0.010376167,0.006494378,0.0016586416],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9470436,0.002511804,0.012343461,0.00985464,0.014700962,0.013545506],"domain_scores_gemma":[0.9543723,0.010407076,0.015119682,0.011531246,0.0017733481,0.006796381],"candidate_categories":["metaresearch","metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.0118123405,0.0066624642,0.0030600438,0.005563871,0.0085410215,0.009690367,0.013997151,0.015636852,0.30620268],"category_scores_gemma":[0.014265008,0.012498708,0.011845941,0.010278221,0.008437574,0.008722465,0.011652091,0.011660083,0.013110204],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0065990407,0.0021929643,0.000027987631,0.007386618,0.008546943,0.005546194,0.004825854,0.0065570436,0.0015411992,0.6178828,0.3343839,0.0045094546],"study_design_scores_gemma":[0.011175604,0.009692477,0.00006400375,0.007961667,0.012529061,0.010252455,0.011565083,0.1756832,0.7165849,0.0034301926,0.02996031,0.01110099],"about_ca_topic_score_codex":0.006401079,"about_ca_topic_score_gemma":0.005538175,"teacher_disagreement_score":0.7150437,"about_ca_system_score_codex":0.00022256968,"about_ca_system_score_gemma":0.010013887,"threshold_uncertainty_score":0.99805015},"labels":[],"label_agreement":null},{"id":"W2207345280","doi":"","title":"SOME NEW RESULTS ON PARA-SASAKIAN MANIFOLD WITH A QUATER-SYMMETRIC METRIC CONNECTION","year":2015,"lang":"en","type":"article","venue":"Facta Universitatis, Series: Mathematics and Informatics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Manifold (fluid mechanics); Bar (unit); Mathematics; Metric (unit); Combinatorics; Pure mathematics; Quarter (Canadian coin); Mathematical analysis; Geometry; Topology (electrical circuits); Physics; Fundamental theorem of Riemannian geometry; Engineering; Geography","score_opus":0.04618027406007618,"score_gpt":0.2508643524484373,"score_spread":0.2046840783883611,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2207345280","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7144596,0.0007827605,0.15337655,0.0031914718,0.00091743754,0.0032385578,0.00051521265,0.001000159,0.122518264],"genre_scores_gemma":[0.58872074,0.00072166754,0.39626008,0.00048326084,0.00029189786,0.0000148740355,0.00024049418,0.0001372561,0.013129696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.9973172,0.000045072804,0.00095868995,0.0002659127,0.00092834776,0.0004848112],"domain_scores_gemma":[0.9969269,0.00068871694,0.0008724567,0.0006396102,0.0003473421,0.00052495603],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00074436335,0.00048423719,0.00077395415,0.0014676894,0.00024313382,0.00030689436,0.00034892125,0.00021934844,0.000043971166],"category_scores_gemma":[0.0010980483,0.00037272624,0.000121549136,0.0025901548,0.00007288509,0.0016671991,0.00012826835,0.0003280915,0.00010933767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006533879,0.0006415338,0.00017686134,0.0010291128,0.0010567552,0.00005721092,0.045727435,0.00031629877,0.000008470991,0.8580413,0.08755941,0.004732209],"study_design_scores_gemma":[0.024592608,0.0132531505,0.0012282513,0.0014221999,0.0032438966,0.0006465698,0.39952657,0.050406843,0.000714194,0.36832154,0.13172969,0.0049144733],"about_ca_topic_score_codex":0.00008159266,"about_ca_topic_score_gemma":0.00005498002,"teacher_disagreement_score":0.48971975,"about_ca_system_score_codex":0.00019066488,"about_ca_system_score_gemma":0.00017450267,"threshold_uncertainty_score":0.99987245},"labels":[],"label_agreement":null},{"id":"W2221722843","doi":"10.1007/978-3-7643-8923-9_5","title":"Representations, Composition, and Decomposition of C 1,1-hypersurfaces","year":2009,"lang":"en","type":"book-chapter","venue":"International series of numerical mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Bounded function; Mathematics; Domain (mathematical analysis); Surface (topology); Boundary (topology); Smoothness; Pure mathematics; Function (biology); Parametric surface; Parametric statistics; Stack (abstract data type); Mathematical analysis; Geometry; Computer science","score_opus":0.02826948004877582,"score_gpt":0.3111778028684759,"score_spread":0.2829083228197001,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2221722843","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011902447,0.0017373158,0.047241315,0.0028895556,0.0005428403,0.0009691393,0.0005357229,0.00015690434,0.93402475],"genre_scores_gemma":[0.33922642,0.0018550481,0.5078162,0.00013726494,0.00034108054,0.00001951331,0.000520891,0.00015601158,0.1499276],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979916,0.000016794227,0.0010026154,0.00023343405,0.00065329694,0.00010222029],"domain_scores_gemma":[0.9976012,0.00044850793,0.0010837696,0.00029300936,0.00051467,0.000058831516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018080037,0.00025494414,0.00074589596,0.00026629845,0.000041704974,0.00003185098,0.00027035136,0.00019551696,0.0005275264],"category_scores_gemma":[0.00018388213,0.00023202985,0.00023362236,0.0000891427,0.00015964972,0.00016663689,0.00008824197,0.00017524921,0.000007425068],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003783017,0.00029962286,0.00004369654,0.00034021225,0.00067124,0.0000048029083,0.00033424824,0.00003627878,0.0004729644,0.99241424,0.0023961384,0.002948727],"study_design_scores_gemma":[0.0003425243,0.00021177474,0.00018164577,0.0006186091,0.00052306073,0.000078408695,0.0002118955,0.00067736785,0.00076618884,0.98615843,0.009859279,0.0003707987],"about_ca_topic_score_codex":0.000006833111,"about_ca_topic_score_gemma":0.0000018568628,"teacher_disagreement_score":0.78409714,"about_ca_system_score_codex":0.00003774551,"about_ca_system_score_gemma":0.000021800535,"threshold_uncertainty_score":0.9461903},"labels":[],"label_agreement":null},{"id":"W2227512907","doi":"","title":"• ON WEAKLY SYMMETRIC PARA-SASAKIAN MANIFOLDS ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION","year":2014,"lang":"en","type":"article","venue":"International Journal of Mathematical Archive","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Quarter (Canadian coin); Connection (principal bundle); Triple system; Pure mathematics; Metric connection; Combinatorics; Geometry; Fundamental theorem of Riemannian geometry; Geography","score_opus":0.025153355506792124,"score_gpt":0.3000465238750035,"score_spread":0.2748931683682114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2227512907","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26951236,0.00012903792,0.67442214,0.001716056,0.0012561103,0.00027953324,0.000019142288,0.00007299877,0.05259261],"genre_scores_gemma":[0.96727824,0.000025347481,0.031265,0.0002819659,0.0008068761,0.0000074988225,0.0000064295177,0.000038368496,0.0002902551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99551725,0.000333736,0.001511696,0.0003081211,0.0019565523,0.00037263974],"domain_scores_gemma":[0.9890534,0.008279099,0.0013360294,0.00032036623,0.00072141015,0.0002896895],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0023946967,0.00032829973,0.0007872815,0.0039342325,0.000106751926,0.000203618,0.00091801654,0.00012964044,0.0005741006],"category_scores_gemma":[0.0154980915,0.0002435203,0.00068213505,0.0020127236,0.000060990562,0.00026863787,0.00010663272,0.00066395756,0.0002729392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001501709,0.0013725678,0.0002667008,0.00008192241,0.00096875237,0.000075015654,0.0003764813,0.00010351004,0.00015582745,0.9684228,0.0048446227,0.023181682],"study_design_scores_gemma":[0.001337062,0.001069343,0.0027662094,0.0003380671,0.00032379053,0.00046859443,0.00035992352,0.012018326,0.00038355947,0.97831315,0.0022780602,0.0003439173],"about_ca_topic_score_codex":0.0000059698637,"about_ca_topic_score_gemma":0.0000033269332,"teacher_disagreement_score":0.6977659,"about_ca_system_score_codex":0.00016191033,"about_ca_system_score_gemma":0.0000529156,"threshold_uncertainty_score":0.993047},"labels":[],"label_agreement":null},{"id":"W2231042379","doi":"10.1093/imrn/rnv345","title":"Upper Bounds for the First Eigenvalue of the Laplacian on Non-Orientable Surfaces","year":2015,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Upper and lower bounds; Eigenvalues and eigenvectors; Conformal map; Laplace operator; Genus; Simple (philosophy); Argument (complex analysis); Manifold (fluid mechanics); Riemannian manifold; Surface (topology); Pure mathematics; Combinatorics; Zero (linguistics); Mathematical analysis; Geometry; Botany; Quantum mechanics","score_opus":0.21574254468945203,"score_gpt":0.4348781369505742,"score_spread":0.21913559226112217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2231042379","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8951708,0.00046063992,0.008099508,0.016667236,0.0023117808,0.0024998602,0.00017233535,0.000052582418,0.07456526],"genre_scores_gemma":[0.98626274,0.000018329765,0.0054034526,0.00008425741,0.00023372872,0.000114057926,0.000004986168,0.000028628107,0.007849833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99672234,0.00007772851,0.00047272595,0.00022434536,0.0021643362,0.00033851928],"domain_scores_gemma":[0.9925671,0.0051344177,0.00027712432,0.00063762243,0.0013030876,0.000080618745],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004243755,0.00015429873,0.00026355276,0.00024154993,0.00034236335,0.00024281711,0.0015074608,0.00008555334,0.00014219516],"category_scores_gemma":[0.0064211357,0.00007851071,0.00022317327,0.00070534623,0.00023391409,0.0001599332,0.0002839933,0.00031170883,0.000055949702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021916247,0.0022407505,0.0085147135,0.00071184454,0.0013961387,0.000003166492,0.012197456,0.0062608095,0.00014349431,0.799636,0.16780877,0.00086769805],"study_design_scores_gemma":[0.0018522217,0.0004706619,0.0032877438,0.0006281396,0.00026771947,0.0000072211365,0.016435547,0.24827223,0.0049598864,0.50614214,0.21722302,0.00045347164],"about_ca_topic_score_codex":0.00009776784,"about_ca_topic_score_gemma":0.00027078114,"teacher_disagreement_score":0.29349384,"about_ca_system_score_codex":0.00012691822,"about_ca_system_score_gemma":0.00014082635,"threshold_uncertainty_score":0.76871634},"labels":[],"label_agreement":null},{"id":"W2232639901","doi":"","title":"Some Properties of Lorentzian $\\alpha $-Sasakian Manifolds with Respect to Quarter-symmetric Metric Connection","year":2015,"lang":"en","type":"article","venue":"Czech digital mathematics library","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Connection (principal bundle); Mathematics; Metric (unit); Metric connection; Pure mathematics; Quarter (Canadian coin); Manifold (fluid mechanics); Mathematical analysis; Ricci curvature; Fundamental theorem of Riemannian geometry; Geometry","score_opus":0.04955841209778043,"score_gpt":0.24410580636256093,"score_spread":0.19454739426478052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2232639901","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9538673,0.0014137861,0.008466494,0.0006058103,0.00023622673,0.0011079289,0.000061885214,0.0004774192,0.03376314],"genre_scores_gemma":[0.98194116,0.00001259267,0.014790688,0.00008496209,0.00020939215,0.000047401325,0.00002294184,0.00010713158,0.0027837278],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971089,0.000051030904,0.00091807795,0.00045035608,0.0010035359,0.00046811218],"domain_scores_gemma":[0.9977322,0.0003037155,0.00047134008,0.0008278439,0.00022043781,0.00044445676],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00037930606,0.00042958936,0.0008772361,0.0020634606,0.000070324415,0.00050414517,0.0005784777,0.00016440467,0.000053170144],"category_scores_gemma":[0.0011632761,0.00029824564,0.00023428611,0.0057730917,0.00007848715,0.0024253505,0.00021485327,0.00021659028,0.00015012552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010146387,0.009774562,0.009841963,0.0059376257,0.0029397674,0.0002449607,0.014484646,0.00018708588,0.0010506616,0.8201618,0.11785251,0.016509756],"study_design_scores_gemma":[0.005327063,0.007173921,0.0015784922,0.0023689459,0.0012442921,0.00037567862,0.031555716,0.0036821566,0.05358758,0.8794608,0.010052374,0.0035929955],"about_ca_topic_score_codex":0.0000058276596,"about_ca_topic_score_gemma":0.0000021461253,"teacher_disagreement_score":0.10780013,"about_ca_system_score_codex":0.000067195375,"about_ca_system_score_gemma":0.00014541915,"threshold_uncertainty_score":0.99994695},"labels":[],"label_agreement":null},{"id":"W2246534871","doi":"","title":"Géométrie intime d’une surface-limite / Samuel Roy-Bois, Le monologue, Articule Montréal. 22 février - 23 mars 2003","year":2003,"lang":"fr","type":"article","venue":"Érudit (Université de Montréal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics","score_opus":0.00867218893068465,"score_gpt":0.1730969739441556,"score_spread":0.16442478501347096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2246534871","genre_codex":"review","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35118774,0.5557715,0.01324745,0.04225363,0.0020447471,0.0014844277,0.00037745974,0.00044577982,0.033187203],"genre_scores_gemma":[0.17770025,0.040045362,0.030327206,0.00084897253,0.00027798134,0.000023842635,0.00026329313,0.00031497877,0.7501981],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9943495,0.0006384173,0.0009620184,0.0012186918,0.0009590947,0.0018723243],"domain_scores_gemma":[0.9955201,0.0004433684,0.000793865,0.0016724203,0.00070783816,0.00086240115],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011259152,0.0010311618,0.0015401642,0.0005444056,0.0012520213,0.00015706987,0.0007941063,0.0011154152,0.0025006905],"category_scores_gemma":[0.00093101896,0.0011597914,0.00084135897,0.005975624,0.0003606111,0.00074474403,0.00045154986,0.0010959253,0.0026487058],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016741807,0.0012963699,0.0012933759,0.00019017843,0.0023187245,0.002568332,0.0008537235,0.0042417687,0.00054884236,0.12965322,0.84511304,0.011755002],"study_design_scores_gemma":[0.0028197314,0.0002184235,0.00066069624,0.00012791272,0.002278254,0.00040394955,0.0036938153,0.008236044,0.0008756877,0.009660049,0.96975344,0.001271972],"about_ca_topic_score_codex":0.018766413,"about_ca_topic_score_gemma":0.04753239,"teacher_disagreement_score":0.7170109,"about_ca_system_score_codex":0.004966282,"about_ca_system_score_gemma":0.00035662274,"threshold_uncertainty_score":0.9990852},"labels":[],"label_agreement":null},{"id":"W2247485708","doi":"10.1007/s00208-016-1386-1","title":"The Alekseevskii conjecture in low dimensions","year":2016,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Consejo Nacional de Investigaciones Científicas y Técnicas; McMaster University; Alexander von Humboldt-Stiftung","keywords":"Conjecture; Mathematics; Diffeomorphism; Dimension (graph theory); Pure mathematics; Scalar curvature; Homogeneous; Curvature; Scalar (mathematics); Space (punctuation); Combinatorics; Geometry","score_opus":0.02790844521352379,"score_gpt":0.2864565177108805,"score_spread":0.2585480724973567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2247485708","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9068391,0.0036957078,0.024599805,0.028000705,0.0004306455,0.0012463301,0.000044947417,0.00033323854,0.03480955],"genre_scores_gemma":[0.97845256,0.00027110503,0.00282042,0.0001920889,0.00011760752,0.00007686349,0.0000019878564,0.000043060016,0.018024279],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983519,0.000095237156,0.00047563436,0.00027098387,0.00038084583,0.00042543525],"domain_scores_gemma":[0.9972508,0.0016899024,0.00018626117,0.00069977867,0.00008368879,0.00008958342],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000935901,0.00021523757,0.00035565905,0.00015334862,0.00018202094,0.00006822059,0.00040265569,0.00012715571,0.00040975143],"category_scores_gemma":[0.001330888,0.000094362025,0.00018408355,0.0006497899,0.000092238144,0.00014876253,0.00011468735,0.00018559543,0.00037546473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057099092,0.0007095626,0.0038308734,0.000247362,0.0005252891,0.0000977073,0.0033257573,0.000009737507,0.0023634944,0.75801355,0.16643035,0.06438923],"study_design_scores_gemma":[0.002038353,0.00012988615,0.0057147364,0.0010555981,0.0001859114,0.00008607162,0.00082724734,0.00044870374,0.0026690355,0.7793056,0.20662385,0.00091501576],"about_ca_topic_score_codex":0.0000068897725,"about_ca_topic_score_gemma":0.000105793915,"teacher_disagreement_score":0.07161352,"about_ca_system_score_codex":0.00003044004,"about_ca_system_score_gemma":0.000033753935,"threshold_uncertainty_score":0.4825965},"labels":[],"label_agreement":null},{"id":"W2256424933","doi":"","title":"On a Quarter-Symmetric Metric Connection in an LP-Sasakian Manifold","year":2013,"lang":"en","type":"article","venue":"Thai Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Metric connection; Connection (principal bundle); Quarter (Canadian coin); Manifold (fluid mechanics); Metric (unit); Curvature; Pure mathematics; Mathematical analysis; Topology (electrical circuits); Combinatorics; Geometry; Scalar curvature; Fundamental theorem of Riemannian geometry","score_opus":0.03545403230929128,"score_gpt":0.29015703938378823,"score_spread":0.25470300707449695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2256424933","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9781528,0.00019329024,0.017696125,0.00023695188,0.00022791121,0.00029609323,0.0000016928639,0.000028442912,0.003166698],"genre_scores_gemma":[0.97844946,0.000032187618,0.020973748,0.000093219285,0.00016120973,0.000008339863,0.0000013438264,0.000038563736,0.00024191756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997068,0.00017824091,0.0013292078,0.00018584996,0.0008828091,0.00035588822],"domain_scores_gemma":[0.9964675,0.0012879872,0.0011619871,0.00046220457,0.00040687007,0.00021347856],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001978757,0.0002771579,0.00083139166,0.0029839682,0.000063472784,0.00016828837,0.00045854403,0.00017440564,0.0007806927],"category_scores_gemma":[0.0018673323,0.00020245089,0.0002987285,0.0033675742,0.000020128335,0.0005471873,0.000031355317,0.00054312655,0.00016262964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018593526,0.025026632,0.010723614,0.0019638618,0.0017803195,0.0004956996,0.01678255,0.0008342698,0.0024879153,0.85868895,0.0466162,0.03441403],"study_design_scores_gemma":[0.003058808,0.0028875787,0.0075476873,0.0005666925,0.00056159415,0.0004948168,0.015214015,0.021538155,0.00046508652,0.9466895,0.0001846554,0.0007914292],"about_ca_topic_score_codex":0.00002382441,"about_ca_topic_score_gemma":0.00003032412,"teacher_disagreement_score":0.088000506,"about_ca_system_score_codex":0.00014597064,"about_ca_system_score_gemma":0.000043524717,"threshold_uncertainty_score":0.8548037},"labels":[],"label_agreement":null},{"id":"W2263839075","doi":"10.1002/cpa.21707","title":"Multi‐to One‐Dimensional Optimal Transport","year":2017,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Toronto","funders":"","keywords":"Mathematics; Transversality; Submanifold; Codimension; Bounded function; Lipschitz continuity; Integer (computer science); Set (abstract data type); Open set; Function (biology); Pure mathematics; Discrete mathematics; Combinatorics; Applied mathematics; Mathematical optimization; Mathematical analysis","score_opus":0.10199859159963273,"score_gpt":0.33673153351252116,"score_spread":0.23473294191288843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2263839075","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6154006,0.000635499,0.2278841,0.014612265,0.00017412314,0.0031879426,0.00015022757,0.0005029873,0.13745223],"genre_scores_gemma":[0.5475731,0.00004313423,0.4515024,0.00016195714,0.000021609814,0.00007624651,0.000014497885,0.000023110666,0.00058390544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988225,0.000014811809,0.00040134517,0.00024924258,0.00029525405,0.0002168177],"domain_scores_gemma":[0.99564844,0.0003453734,0.00026479457,0.0034870752,0.00009525049,0.0001590756],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004999121,0.00021209863,0.0004168534,0.00014754654,0.0009678623,0.0001305678,0.0012687931,0.0001239403,0.00006077368],"category_scores_gemma":[0.0002270689,0.0001829786,0.000099508594,0.00015973781,0.0001539058,0.00007420006,0.00034075198,0.0002925013,0.0001057759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020490881,0.0022244747,0.000104710685,0.00014681379,0.00024069201,0.0000015008594,0.0017165937,0.00008560678,0.0013694533,0.98373145,0.00326717,0.007091058],"study_design_scores_gemma":[0.008611383,0.0006479224,0.018791204,0.0016245728,0.003482933,0.00006501681,0.0063730306,0.04026818,0.0058822017,0.81794196,0.0913389,0.004972723],"about_ca_topic_score_codex":0.0000034417335,"about_ca_topic_score_gemma":0.000039782528,"teacher_disagreement_score":0.22361833,"about_ca_system_score_codex":0.000018195924,"about_ca_system_score_gemma":0.00002414709,"threshold_uncertainty_score":0.7461651},"labels":[],"label_agreement":null},{"id":"W2280730556","doi":"10.1016/j.jfa.2016.02.017","title":"Metric selfduality and monotone vector fields on manifolds","year":2016,"lang":"en","type":"preprint","venue":"Journal of Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monotone polygon; Mathematics; Context (archaeology); Vector field; Antisymmetric relation; Pure mathematics; Regular polygon; Representation (politics); Monotonic function; Mathematical analysis; Mathematical physics; Geometry","score_opus":0.04854227092422232,"score_gpt":0.2994766687600629,"score_spread":0.2509343978358406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2280730556","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60249496,0.0027232948,0.38444275,0.0048968247,0.0014641153,0.00022841203,0.00014111881,0.00004368545,0.0035648413],"genre_scores_gemma":[0.994664,0.0003450212,0.001562165,0.00017160205,0.0010680195,0.000005973672,0.000017910612,0.00002021473,0.0021450755],"study_design_codex":"meta_analysis","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965952,0.00020930129,0.001222256,0.00041158308,0.0013310385,0.00023061158],"domain_scores_gemma":[0.9954121,0.0011832203,0.0017951623,0.0004879807,0.00090409204,0.00021743609],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017923649,0.00036770836,0.0014692324,0.0031071394,0.00011122029,0.00013057541,0.00029486365,0.00045066222,0.0012012837],"category_scores_gemma":[0.00107413,0.00023254254,0.001790623,0.0023201234,0.000040691433,0.00011784955,0.00020984992,0.0009163451,0.000013576932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0030238305,0.007181881,0.13870814,0.0019084105,0.36620766,0.0006790014,0.001091763,0.038447022,0.0004908687,0.16483688,0.24237029,0.03505426],"study_design_scores_gemma":[0.0024264965,0.0009442993,0.3791014,0.00038258563,0.07349389,0.0001391135,0.0003134436,0.005655021,0.000268554,0.52723294,0.00834221,0.0017000679],"about_ca_topic_score_codex":0.00002486367,"about_ca_topic_score_gemma":0.000021708602,"teacher_disagreement_score":0.39216906,"about_ca_system_score_codex":0.00017964696,"about_ca_system_score_gemma":0.00012011298,"threshold_uncertainty_score":0.99971175},"labels":[],"label_agreement":null},{"id":"W2281302317","doi":"10.14288/1.0079494","title":"Some computations of the homology of real grassmannian manifolds","year":2010,"lang":"en","type":"article","venue":"cIRcle (University of British Columbia)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Grassmannian; Homology (biology); Computation; Mathematics; Pure mathematics; Computer science; Biology; Genetics; Algorithm; Gene","score_opus":0.011605990239904058,"score_gpt":0.20224945039678835,"score_spread":0.1906434601568843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2281302317","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9978256,0.00002747411,0.0003565724,0.00008537149,0.00014006946,0.00011734269,0.00008078666,0.000014536251,0.0013522304],"genre_scores_gemma":[0.9972794,0.000028349186,0.0020344222,0.000008193363,0.000022930415,1.5264547e-7,0.000005554546,0.000006877981,0.0006141143],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.9992674,0.000051438627,0.00017569486,0.0001570527,0.00022307306,0.00012532943],"domain_scores_gemma":[0.99891764,0.00011366916,0.00031264508,0.0003507715,0.00026069256,0.000044571498],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021883662,0.000032388645,0.00032341384,0.00007168799,0.00011689391,0.000012740699,0.00041167,0.00012540193,0.00010908772],"category_scores_gemma":[0.000066351226,0.000080948055,0.00022599357,0.0005720953,0.00032194404,0.00010503341,0.00012607969,0.00016469581,0.0000025853533],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037013826,0.0039695045,0.44440478,0.0015606018,0.0017173841,0.00018064961,0.0039193826,0.00013194485,0.012603036,0.02546828,0.04824099,0.45776644],"study_design_scores_gemma":[0.00037101415,0.0000384148,0.9789341,0.000030416011,0.00014425638,0.000020735333,0.0007689536,0.00018602633,0.000004536202,0.019332403,0.000095471216,0.000073686366],"about_ca_topic_score_codex":0.034348328,"about_ca_topic_score_gemma":0.23257288,"teacher_disagreement_score":0.5345293,"about_ca_system_score_codex":0.000010942888,"about_ca_system_score_gemma":0.000055090775,"threshold_uncertainty_score":0.972082},"labels":[],"label_agreement":null},{"id":"W2286414087","doi":"10.18052/www.scipress.com/bmsa.3.63","title":"On a Hsu-Unified Structure Manifold with a Quarter-Symmetric Non-Metric Connection","year":2013,"lang":"en","type":"article","venue":"Bulletin of Mathematical Sciences and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Mathematics; Connection (principal bundle); Covariance and contravariance of vectors; Manifold (fluid mechanics); Metric (unit); Pure mathematics; Quarter (Canadian coin); Statistical manifold; Topology (electrical circuits); Mathematical analysis; Fundamental theorem of Riemannian geometry; Combinatorics; Geometry; Information geometry; Ricci curvature; Scalar curvature","score_opus":0.014093120154903278,"score_gpt":0.24892549792224067,"score_spread":0.2348323777673374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2286414087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71241695,0.00016868571,0.19612186,0.0050528413,0.000030829327,0.0026027479,0.000022190025,0.0001116007,0.08347229],"genre_scores_gemma":[0.9739089,0.000009490052,0.025291933,0.00010172803,0.000034993725,0.00017247935,0.0000019487577,0.000008900587,0.00046963774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985996,0.000027699689,0.00035460733,0.00033281688,0.00046120945,0.00022409305],"domain_scores_gemma":[0.99815476,0.0010935053,0.00022686757,0.00027756862,0.0001306129,0.00011670217],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036985215,0.00016102611,0.0003257985,0.00038000045,0.00022815063,0.00011390761,0.00024259074,0.000080045684,0.0018350241],"category_scores_gemma":[0.0002622548,0.00009776604,0.00006492105,0.002242051,0.00017358568,0.000039477087,0.000037294772,0.00012436172,0.00011261789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004681214,0.0003413308,0.00009891472,0.00014057572,0.000035141104,2.7701896e-7,0.00007622696,0.000018554876,0.00010392317,0.9873345,0.0076867323,0.004159169],"study_design_scores_gemma":[0.0006089892,0.00077882985,0.002759829,0.00011348511,0.00017322924,0.000031135143,0.0016033073,0.0038478975,0.00027995228,0.98445225,0.0049661035,0.00038499146],"about_ca_topic_score_codex":0.000048571743,"about_ca_topic_score_gemma":0.000004190415,"teacher_disagreement_score":0.26149192,"about_ca_system_score_codex":0.000012547919,"about_ca_system_score_gemma":0.00001570376,"threshold_uncertainty_score":0.99907744},"labels":[],"label_agreement":null},{"id":"W2286724906","doi":"10.18910/58902","title":"Erratum to the article ``Zero mean curvature surfaces in Lorentz--Minkowki 3-space which change type across a light-like line'' Osaka J. math. 52 (2015), 285--297","year":2016,"lang":"en","type":"erratum","venue":"Institutional Repositories DataBase (IRDB)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Lorentz transformation; Zero (linguistics); Line (geometry); Curvature; Space (punctuation); Mathematical analysis; Mathematical physics; Pure mathematics; Geometry; Classical mechanics; Physics; Philosophy","score_opus":0.04360441486440493,"score_gpt":0.3199490763794596,"score_spread":0.27634466151505466,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2286724906","genre_codex":"editorial","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1398398,0.10901347,0.013798634,0.08266141,0.5386068,0.0138361575,0.031179525,0.0024951936,0.06856897],"genre_scores_gemma":[0.5099148,0.005429234,0.0094845,0.0029627252,0.05224772,0.0017934638,0.015034828,0.00075978454,0.40237296],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9927941,0.0003042957,0.0014301009,0.0016158125,0.0024754654,0.0013802273],"domain_scores_gemma":[0.99361014,0.000524181,0.00083100423,0.0026968943,0.0018376805,0.00050008326],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0017433183,0.0011611136,0.0013925368,0.00048430686,0.0010645097,0.00076910056,0.0016823717,0.0012075037,0.00010477644],"category_scores_gemma":[0.0038075934,0.0007487875,0.00038005505,0.004416361,0.0002943553,0.0012009145,0.0011465395,0.0024578464,0.00051681435],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002231468,0.00043829228,0.00044326906,0.00036858188,0.00045152087,0.00027770145,0.0026145002,0.00004761775,0.00033364486,0.02264722,0.97192395,0.00023058144],"study_design_scores_gemma":[0.00060278026,0.00013919348,0.00065010187,0.0016564318,0.00034454183,0.000108256034,0.00049482955,0.00026402768,0.00027755668,0.001399916,0.9930254,0.0010369302],"about_ca_topic_score_codex":0.0010147394,"about_ca_topic_score_gemma":0.016227521,"teacher_disagreement_score":0.48635912,"about_ca_system_score_codex":0.0006682194,"about_ca_system_score_gemma":0.001156286,"threshold_uncertainty_score":0.99984354},"labels":[],"label_agreement":null},{"id":"W2290767110","doi":"10.1090/proc/13324","title":"Davies’ method for anomalous diffusions","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"National Science Foundation","keywords":"Heat kernel; Diagonal; Singularity; Mathematics; Cutoff; Gaussian; Kernel (algebra); Sobolev space; Upper and lower bounds; Energy (signal processing); Computation; Perturbation (astronomy); Applied mathematics; Pure mathematics; Mathematical analysis; Statistical physics; Physics; Algorithm; Geometry; Quantum mechanics; Statistics","score_opus":0.032354377478787305,"score_gpt":0.33356852912300766,"score_spread":0.3012141516442204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2290767110","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39513665,0.00032296774,0.5655587,0.0127784,0.0005425321,0.0048028063,0.00046609316,0.0004410133,0.019950846],"genre_scores_gemma":[0.19361614,0.00008706031,0.8015682,0.0005034678,0.0005606126,0.0005642005,0.0000041913663,0.0001492936,0.0029467975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996974,0.000026242507,0.0009796978,0.0006637757,0.00079948455,0.00055681553],"domain_scores_gemma":[0.9945526,0.0017578782,0.0022542004,0.0005561658,0.000720777,0.0001583763],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015260292,0.0005259229,0.0017641085,0.00007821174,0.00023387843,0.00009904285,0.001526929,0.0002799372,0.00008410682],"category_scores_gemma":[0.0023683896,0.0002833645,0.002715109,0.00079739967,0.00056994695,0.000067584406,0.001790789,0.00061278016,0.000007915949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010830629,0.0021503007,0.001513943,0.013187571,0.0047295913,3.135311e-7,0.006241993,0.0000033105314,0.016670072,0.59629256,0.34854636,0.010555716],"study_design_scores_gemma":[0.00028786715,0.000072613606,0.00023546406,0.0005542462,0.001287193,0.0000049568594,0.0014762863,0.0026153086,0.00146028,0.99012226,0.0014458225,0.0004376834],"about_ca_topic_score_codex":0.000008520342,"about_ca_topic_score_gemma":2.8899848e-7,"teacher_disagreement_score":0.39382976,"about_ca_system_score_codex":0.00013089941,"about_ca_system_score_gemma":0.0000847398,"threshold_uncertainty_score":0.99996185},"labels":[],"label_agreement":null},{"id":"W2292367496","doi":"10.4310/cag.2018.v26.n5.a2","title":"Harnack inequalities for evolving hypersurfaces on the sphere","year":2018,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Leibniz-Gemeinschaft; Austrian Science Fund","keywords":"Mathematics; Harnack's inequality; Monotone polygon; Harnack's principle; Regular polygon; Pure mathematics; Curvature; Inequality; Unit sphere; Homogeneous; Convex function; Function (biology); Mean curvature; Mathematical analysis; Combinatorics; Geometry","score_opus":0.12401344818533827,"score_gpt":0.37030541168182785,"score_spread":0.24629196349648957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2292367496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96474403,0.0038401606,0.012559592,0.004927615,0.000051925694,0.00034243916,0.000035338726,0.00004667727,0.013452195],"genre_scores_gemma":[0.9859417,0.000411222,0.0121004265,0.00024994268,0.000043152308,0.000049152044,0.000020901867,0.000010950459,0.0011725489],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988512,0.00017765815,0.00039036002,0.00020891348,0.00018404832,0.00018782746],"domain_scores_gemma":[0.99488664,0.0030096597,0.00017402545,0.0016523638,0.00023855672,0.00003876232],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015209203,0.00013516686,0.00037113574,0.0006712755,0.00045684938,0.00014106356,0.00072791625,0.00007793757,0.00037445553],"category_scores_gemma":[0.0019032743,0.000089331974,0.00021802768,0.0044002878,0.00023787706,0.00009029552,0.00021067099,0.00019011484,0.000012890627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046732748,0.0010192766,0.22793144,0.000119399854,0.0053078206,5.590857e-7,0.0051969266,0.00010539499,0.00012653084,0.7054996,0.022472171,0.032174185],"study_design_scores_gemma":[0.0022228446,0.0006865002,0.23593865,0.00035424647,0.009138252,0.0000035361995,0.06881811,0.1920584,0.00071186404,0.33750117,0.15054971,0.0020167243],"about_ca_topic_score_codex":0.00011342251,"about_ca_topic_score_gemma":0.0017332871,"teacher_disagreement_score":0.3679984,"about_ca_system_score_codex":0.000029958523,"about_ca_system_score_gemma":0.000015867086,"threshold_uncertainty_score":0.41000256},"labels":[],"label_agreement":null},{"id":"W2298875041","doi":"10.5539/jmr.v8n2p55","title":"Osserman Lightlike Hypersurfaces on a Foliated Class of Lorentzian Manifolds","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Mathematics; Pointwise; Pure mathematics; Foliation (geology); Manifold (fluid mechanics); Mathematical analysis; Homogeneous space; Riemann curvature tensor; Curvature; Geometry; Geology","score_opus":0.17239010874163047,"score_gpt":0.41769572850671804,"score_spread":0.24530561976508758,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2298875041","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9880325,0.00021713026,0.0017788631,0.0013701854,0.00013339937,0.00019149168,0.000008656058,0.000013447346,0.008254315],"genre_scores_gemma":[0.98900723,0.00024953336,0.007581531,0.000012192429,0.00014555713,0.0000031812356,3.7573028e-7,0.000039001734,0.0029613716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955342,0.00026020763,0.0011925761,0.00017153726,0.0023832254,0.00045825093],"domain_scores_gemma":[0.99424905,0.002627644,0.0008551033,0.0005566273,0.0014964913,0.00021505925],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0052883946,0.00019438534,0.0007513088,0.001192339,0.0000969293,0.00006145577,0.00076958974,0.00017024331,0.0005176178],"category_scores_gemma":[0.0029129242,0.00010263452,0.00037341742,0.0011325312,0.0001449413,0.00018004158,0.000115209594,0.00047781062,0.00010632629],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00091271644,0.013884328,0.0048306924,0.0038302976,0.004745049,0.0005917654,0.009993026,0.000058890742,0.1554175,0.5573898,0.22683272,0.021513212],"study_design_scores_gemma":[0.008372167,0.0062882546,0.003494387,0.006826394,0.00086632627,0.00043791102,0.013052897,0.0015495771,0.111891784,0.81824034,0.02777887,0.0012010798],"about_ca_topic_score_codex":0.000005295431,"about_ca_topic_score_gemma":0.00001298875,"teacher_disagreement_score":0.26085055,"about_ca_system_score_codex":0.0001306883,"about_ca_system_score_gemma":0.00013694372,"threshold_uncertainty_score":0.5667552},"labels":[],"label_agreement":null},{"id":"W2314640102","doi":"10.4153/cmb-2015-039-7","title":"Real Hypersurfaces in Complex Two-Plane Grassmannians with GTW Harmonic Curvature","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Research Foundation of Korea; National Research Foundation","keywords":"Mathematics; Connection (principal bundle); Curvature; Harmonic; Plane (geometry); Pure mathematics; Mathematical analysis; Geometry; Physics","score_opus":0.06658539928892016,"score_gpt":0.28293102391329483,"score_spread":0.21634562462437468,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2314640102","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8442675,0.00023162858,0.0011708683,0.012684665,0.00008485481,0.000776591,0.00007546786,0.00016204758,0.14054637],"genre_scores_gemma":[0.9783769,0.000009857285,0.01696474,0.00050390454,0.00009934554,0.000038486007,0.00006275683,0.00006683992,0.0038771688],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99749446,0.00013314023,0.0005301326,0.00044602028,0.00057397666,0.0008222947],"domain_scores_gemma":[0.9976498,0.00035568592,0.00013779594,0.00058203185,0.00017528493,0.0010994092],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009050611,0.0003675922,0.00073913304,0.00044094832,0.00009500181,0.00013391528,0.00045454706,0.00021002158,0.005239133],"category_scores_gemma":[0.0006892161,0.00027983353,0.00010745463,0.0009986325,0.0001399515,0.00005788515,0.00003853158,0.000512525,0.0029052433],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014331235,0.00070488226,0.00837552,0.00047854328,0.00047363518,0.0015576734,0.004210995,0.00018795516,0.00010065323,0.25630257,0.72638094,0.001083346],"study_design_scores_gemma":[0.009585409,0.00092135154,0.008756783,0.0007754655,0.0009930817,0.00069132046,0.010922907,0.005276837,0.00013361317,0.33504194,0.623188,0.0037132553],"about_ca_topic_score_codex":0.008126876,"about_ca_topic_score_gemma":0.053670783,"teacher_disagreement_score":0.1366692,"about_ca_system_score_codex":0.00033854815,"about_ca_system_score_gemma":0.00037754563,"threshold_uncertainty_score":0.99996537},"labels":[],"label_agreement":null},{"id":"W2317708070","doi":"10.4153/cmb-2003-057-9","title":"On Harmonic Theory in Flows","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Flow (mathematics); Harmonic; Generalization; Harmonic map; Pure mathematics; Hodge theory; Manifold (fluid mechanics); Mathematical analysis; Algebra over a field; Cohomology; Geometry; Physics; Acoustics","score_opus":0.022377644323295254,"score_gpt":0.2478189199199511,"score_spread":0.22544127559665583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2317708070","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46642175,0.0002917362,0.006787718,0.0032283838,0.00016751724,0.00066996226,0.000014576149,0.00008878412,0.52232957],"genre_scores_gemma":[0.9858861,0.0000049352448,0.004316748,0.0011744992,0.000029561275,0.000047146805,0.000002996886,0.000043520216,0.008494524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980474,0.00025118416,0.00045145993,0.0003281726,0.00029485865,0.00062689994],"domain_scores_gemma":[0.9975039,0.0013544396,0.000064763095,0.0005253589,0.000046030236,0.00050550664],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0016046121,0.00023873281,0.00044038368,0.0005235081,0.00008630558,0.000062725514,0.00025278027,0.0001814829,0.06197241],"category_scores_gemma":[0.006204707,0.0001984317,0.00016374773,0.00068850303,0.000046845922,0.000021658574,0.000012465015,0.00037966817,0.013089853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000044312847,0.00010573691,0.00002473653,0.00003926032,0.000024430597,0.00006474388,0.00012558913,0.0000065681443,0.000004396356,0.97472405,0.024394251,0.00048181403],"study_design_scores_gemma":[0.00033702893,0.00003520913,0.00005829372,0.00007800349,0.000034210225,0.000014680969,0.00022091158,0.00012270366,0.000047059777,0.9347348,0.0640629,0.00025420348],"about_ca_topic_score_codex":0.00013756666,"about_ca_topic_score_gemma":0.0019220858,"teacher_disagreement_score":0.5194643,"about_ca_system_score_codex":0.00022960258,"about_ca_system_score_gemma":0.00016226103,"threshold_uncertainty_score":0.9876786},"labels":[],"label_agreement":null},{"id":"W2322416991","doi":"10.4153/cmb-2001-038-2","title":"A Note on <i>p</i>-Harmonic 1-Forms on Complete Manifolds","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Manifold (fluid mechanics); Ricci curvature; Pure mathematics; Harmonic; Curvature; Topology (electrical circuits); Combinatorics; Geometry; Physics; Acoustics","score_opus":0.03835960356293335,"score_gpt":0.2663854698215045,"score_spread":0.22802586625857116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2322416991","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28348824,0.00008975295,0.00585611,0.036633413,0.0002375455,0.001078196,0.00009781015,0.00028745708,0.6722315],"genre_scores_gemma":[0.97769505,0.000016791771,0.002321508,0.005527244,0.00018501213,0.000050745537,0.000021601038,0.00007972939,0.014102297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9973734,0.00007317176,0.0005702937,0.000479115,0.00060773594,0.0008962575],"domain_scores_gemma":[0.9971989,0.0008293416,0.0001343085,0.0008404566,0.00008913717,0.0009078807],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006107477,0.0003957937,0.00065645005,0.00050896534,0.00023882576,0.00013165458,0.00047864194,0.00023721234,0.028896857],"category_scores_gemma":[0.001095776,0.00030714163,0.00031710268,0.00072272134,0.00007496467,0.000029904686,0.000036482557,0.0004892881,0.044420753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004636037,0.00035364972,0.000049945862,0.000118415206,0.00011731076,0.00044263486,0.00019337746,0.000014680796,0.000027516406,0.7842489,0.2102304,0.004156848],"study_design_scores_gemma":[0.0007210793,0.0002978814,0.0003213381,0.000231612,0.00013049242,0.00010562526,0.00012213973,0.0007016421,0.00005021523,0.27504814,0.72161514,0.000654684],"about_ca_topic_score_codex":0.00036726138,"about_ca_topic_score_gemma":0.0017277794,"teacher_disagreement_score":0.69420683,"about_ca_system_score_codex":0.00032263927,"about_ca_system_score_gemma":0.00011100844,"threshold_uncertainty_score":0.9999381},"labels":[],"label_agreement":null},{"id":"W2326799834","doi":"10.1007/s12220-016-9685-z","title":"BV Capacity on Generalized Grushin Plane","year":2016,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Memorial University of Newfoundland; National Natural Science Foundation of China","keywords":"Plane (geometry); Differential geometry; Mathematics; TRACE (psycholinguistics); Alpha (finance); Complex plane; Mathematical analysis; Fourier analysis; Pure mathematics; Geometry; Fourier transform; Statistics; Philosophy","score_opus":0.05324472179499402,"score_gpt":0.2872513194100724,"score_spread":0.23400659761507842,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2326799834","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87690485,0.00045578508,0.1199137,0.000871974,0.00020960503,0.000063920605,0.000024270752,0.000023571678,0.0015323248],"genre_scores_gemma":[0.98826027,0.00033800467,0.007668909,0.0001545408,0.00040086184,0.0000018282703,0.00000273573,0.000022125154,0.0031507122],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9962613,0.00023211143,0.0013150664,0.00028915057,0.0014957626,0.00040661442],"domain_scores_gemma":[0.9951474,0.0017000143,0.0015953734,0.0005736555,0.00067143416,0.00031213125],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0025107497,0.00029365148,0.0014134505,0.009015836,0.00011006065,0.00007991566,0.0005779885,0.00018601045,0.002460477],"category_scores_gemma":[0.0044472306,0.00015704938,0.0016805005,0.018120429,0.00005796316,0.0002609309,0.000048483056,0.0003255368,0.00008646931],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014071367,0.0060196957,0.3393984,0.0001875255,0.10926884,0.0008476225,0.0008449749,0.0029135423,0.0043696864,0.045196768,0.2844835,0.20506229],"study_design_scores_gemma":[0.028924415,0.0066807643,0.4466462,0.00071400666,0.1339887,0.0007255601,0.0013691909,0.0025402205,0.014266124,0.17525172,0.18275197,0.006141102],"about_ca_topic_score_codex":0.00004828837,"about_ca_topic_score_gemma":0.00003495613,"teacher_disagreement_score":0.19892119,"about_ca_system_score_codex":0.00020617776,"about_ca_system_score_gemma":0.000050010534,"threshold_uncertainty_score":0.9984514},"labels":[],"label_agreement":null},{"id":"W2330361730","doi":"10.3934/era.2013.20.43","title":"Nullspaces of conformally invariant operators. Applications to $\\boldsymbol{Q_k}$-curvature","year":2013,"lang":"en","type":"article","venue":"Electronic Research Announcements","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Japan Society for the Promotion of Science; Fonds Québécois de la Recherche sur la Nature et les Technologies; Natural Sciences and Engineering Research Council of Canada; Seoul National University; McGill University","keywords":"Mathematics; Covariant transformation; Invariant (physics); Conformal map; Pure mathematics; Curvature; Manifold (fluid mechanics); Eigenfunction; Dimension (graph theory); Differential operator; Topology (electrical circuits); Eigenvalues and eigenvectors; Mathematical analysis; Combinatorics; Mathematical physics; Physics; Geometry","score_opus":0.06701276872503174,"score_gpt":0.3894613516039179,"score_spread":0.32244858287888617,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2330361730","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81126106,0.0060448847,0.044175725,0.010157484,0.00025721156,0.016302157,0.00021648502,0.0003061189,0.11127888],"genre_scores_gemma":[0.98533905,0.00025362225,0.0029099577,0.00023918993,0.0001493854,0.0012838554,0.00009827146,0.000035493526,0.00969119],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9959627,0.00019204324,0.00056652667,0.00043509778,0.0015654525,0.0012781769],"domain_scores_gemma":[0.9969568,0.0002706636,0.000143738,0.0007978557,0.0015286058,0.00030230772],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00225192,0.00022562746,0.00042759994,0.00063164864,0.00028906323,0.00021004264,0.0008725833,0.00014849729,0.0015087251],"category_scores_gemma":[0.00061221933,0.00017957864,0.00011688665,0.0031934814,0.00010002824,0.00038082473,0.00025120727,0.00071493443,0.0006793358],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013395301,0.0019789906,0.0040529156,0.00039755218,0.0015711873,0.0000053376943,0.0020473003,0.00006355585,0.05012958,0.4595241,0.45053762,0.029557904],"study_design_scores_gemma":[0.0013644777,0.0016142705,0.0019720676,0.00011248813,0.00009442117,0.000006660495,0.0019775308,0.0005087312,0.0051662377,0.08561872,0.9008818,0.0006825578],"about_ca_topic_score_codex":0.00021634926,"about_ca_topic_score_gemma":0.00016163924,"teacher_disagreement_score":0.4503442,"about_ca_system_score_codex":0.0002516846,"about_ca_system_score_gemma":0.0005737127,"threshold_uncertainty_score":0.999404},"labels":[],"label_agreement":null},{"id":"W2331947788","doi":"","title":"• CR- SUBMANIFOLD OF NEARLY HYPERBOLIC COSYMPLECTIC MANIFOLD WITH A QUARTER SYMMETRIC NON METRIC CONNECTION","year":2015,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Submanifold; Connection (principal bundle); Mathematics; Metric connection; Metric (unit); Manifold (fluid mechanics); Mathematical analysis; Quarter (Canadian coin); Pure mathematics; Geometry; Curvature; Scalar curvature; Fundamental theorem of Riemannian geometry","score_opus":0.04215035491806744,"score_gpt":0.26773915016490424,"score_spread":0.22558879524683678,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2331947788","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8918896,0.0004597564,0.040828303,0.00015351415,0.00019844198,0.0005457575,0.0000045370666,0.00015494121,0.06576518],"genre_scores_gemma":[0.9926738,0.00001317054,0.00460028,0.00008210607,0.00010336906,0.000025249943,0.000006855654,0.000041701685,0.0024534566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9976989,0.00009126277,0.00056938984,0.00039515755,0.0008479568,0.00039730882],"domain_scores_gemma":[0.9977652,0.0004338335,0.00035218842,0.00056656863,0.0006481888,0.0002340392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008589931,0.00029048105,0.00069799885,0.0019196469,0.000065975975,0.00008867257,0.00025317265,0.00016269174,0.00023744398],"category_scores_gemma":[0.00068109337,0.00020303948,0.000191296,0.008884938,0.000028320674,0.0002667342,0.000042827916,0.00021111275,0.00011120395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012605314,0.007509602,0.1670084,0.0014207524,0.0054564616,0.0001809654,0.005736195,0.00041647436,0.0019621076,0.65597206,0.13527922,0.01779719],"study_design_scores_gemma":[0.0660289,0.0452795,0.3487462,0.0010764134,0.02327962,0.002384397,0.060608786,0.12116102,0.038982835,0.23100886,0.047724042,0.013719405],"about_ca_topic_score_codex":0.0006825085,"about_ca_topic_score_gemma":0.00031469628,"teacher_disagreement_score":0.42496324,"about_ca_system_score_codex":0.00011563867,"about_ca_system_score_gemma":0.00010022319,"threshold_uncertainty_score":0.827971},"labels":[],"label_agreement":null},{"id":"W2333870065","doi":"10.1142/9789812701732_0002","title":"Geometric Analysis on SubRiemannian Manifolds","year":2005,"lang":"en","type":"article","venue":"Advances in Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Computer science; Mathematics","score_opus":0.016017255890209147,"score_gpt":0.3147137525860203,"score_spread":0.29869649669581116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2333870065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65970314,0.01406387,0.2537003,0.0013136334,0.00018787218,0.00046533474,0.000054448123,0.00033219194,0.07017921],"genre_scores_gemma":[0.9865819,0.001028966,0.009206007,0.00026833947,0.00014060762,0.000026539763,0.000052641277,0.000023152646,0.0026717985],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9967752,0.00013566061,0.0008897398,0.00076463306,0.0008741097,0.0005606397],"domain_scores_gemma":[0.99757516,0.0006788944,0.00038081565,0.0010629054,0.00014053365,0.00016167911],"candidate_categories":["metaepi_narrow","bibliometrics","insufficient_payload"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.0009869824,0.0003582574,0.0013316025,0.011242834,0.000116738964,0.00009032073,0.00052998186,0.0001556882,0.0015795128],"category_scores_gemma":[0.00059307413,0.0003047117,0.0014257882,0.061603658,0.000051316885,0.0005094804,0.000066134206,0.0003071254,0.000168419],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007582493,0.0016971994,0.53031147,0.00006349454,0.023605907,0.00007678993,0.00045446347,0.27992827,0.00000879262,0.04844967,0.0010520947,0.114276014],"study_design_scores_gemma":[0.003024902,0.00045289865,0.38547716,0.00007068054,0.12185477,0.000006627276,0.001868465,0.17919841,0.0005839527,0.054496065,0.24913897,0.0038271188],"about_ca_topic_score_codex":0.000076747165,"about_ca_topic_score_gemma":0.005817383,"teacher_disagreement_score":0.3268788,"about_ca_system_score_codex":0.00019920175,"about_ca_system_score_gemma":0.00001547515,"threshold_uncertainty_score":0.9999639},"labels":[],"label_agreement":null},{"id":"W2334149544","doi":"10.4153/cmb-2015-030-3","title":"On the Maximum Curvature of Closed Curves in Negatively Curved Manifolds","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation","keywords":"Isoperimetric inequality; Mathematics; Sectional curvature; Curvature; Geodesic; Torsion (gastropod); Mathematical analysis; Norm (philosophy); Pure mathematics; Manifold (fluid mechanics); Scalar curvature; Geometry","score_opus":0.06534390233938701,"score_gpt":0.2716812119803134,"score_spread":0.2063373096409264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2334149544","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.628886,0.0023058543,0.0021449947,0.090630785,0.0003113616,0.002677518,0.00016061067,0.00013049759,0.2727524],"genre_scores_gemma":[0.99314004,0.000022725724,0.0016366948,0.002460182,0.000056169636,0.00005705585,0.000011564038,0.000045698845,0.0025698484],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99757797,0.00028680082,0.00067437894,0.0003099825,0.00062377856,0.0005271168],"domain_scores_gemma":[0.99669677,0.0016819465,0.000217143,0.00067004305,0.00022406528,0.0005100385],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0020043624,0.000290416,0.00065573794,0.0003674369,0.000062306004,0.00004322436,0.0005763876,0.00021239952,0.0074933157],"category_scores_gemma":[0.008574626,0.00018943101,0.000197184,0.0011140893,0.00013964513,0.00003528292,0.000048428796,0.00050163554,0.0015633467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021248472,0.00022151596,0.00016704579,0.00030539822,0.000089230445,0.000049489077,0.00057394896,0.000008708495,0.000007502427,0.64824,0.3500032,0.00031270212],"study_design_scores_gemma":[0.0007124847,0.00013214101,0.0005778887,0.0008907595,0.00010857703,0.000012403667,0.0008261656,0.00033352038,0.000101368925,0.957267,0.03864873,0.0003889662],"about_ca_topic_score_codex":0.0011182528,"about_ca_topic_score_gemma":0.0036680899,"teacher_disagreement_score":0.3642541,"about_ca_system_score_codex":0.00017482009,"about_ca_system_score_gemma":0.00028076838,"threshold_uncertainty_score":0.99977654},"labels":[],"label_agreement":null},{"id":"W2337216489","doi":"10.1007/s00222-016-0688-y","title":"Curvature estimates for immersed hypersurfaces in Riemannian manifolds","year":2016,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Scalar curvature; Embedding; Hypersurface; Riemannian manifold; Riemann curvature tensor; Manifold (fluid mechanics); Mathematical analysis; Prescribed scalar curvature problem; Mathematics; Ricci-flat manifold; Sectional curvature; Curvature; Ricci curvature; Pure mathematics; Mathematical physics; Physics; Geometry","score_opus":0.061679240454798716,"score_gpt":0.32577834736978695,"score_spread":0.2640991069149882,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2337216489","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77764755,0.0010862629,0.20564865,0.0055248784,0.0005184071,0.0019298893,0.00007359652,0.00036449687,0.0072062365],"genre_scores_gemma":[0.9365717,0.000018157889,0.05898576,0.000067709356,0.000086929314,0.00021383844,0.000010945328,0.00005576278,0.003989193],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99816024,0.000046034456,0.00067162537,0.00037052945,0.000334678,0.00041687893],"domain_scores_gemma":[0.99792653,0.0010878271,0.00028293213,0.00046649724,0.00014239321,0.00009384219],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008420803,0.00027398102,0.00056750636,0.0003323244,0.00010022378,0.000066314904,0.00030268446,0.00018088701,0.0005766675],"category_scores_gemma":[0.0014700318,0.00017187811,0.0003379964,0.00064768357,0.00007176806,0.0002790848,0.000053568274,0.00009254074,0.00014504399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007303639,0.0011072124,0.007047209,0.0013062902,0.00051577855,0.000015556097,0.0010248452,0.0000057286666,0.0050514922,0.96262884,0.01695542,0.0042686034],"study_design_scores_gemma":[0.0013858652,0.00006911456,0.0019848626,0.00052899396,0.00024601587,0.000011257073,0.00051453465,0.00068801566,0.001425157,0.9904442,0.0023288296,0.0003731515],"about_ca_topic_score_codex":0.0000060331035,"about_ca_topic_score_gemma":0.000052256706,"teacher_disagreement_score":0.15892412,"about_ca_system_score_codex":0.000058946927,"about_ca_system_score_gemma":0.000025243784,"threshold_uncertainty_score":0.70089865},"labels":[],"label_agreement":null},{"id":"W2338745159","doi":"10.1016/j.geomphys.2016.10.016","title":"On the Chern–Gauss–Bonnet theorem for the noncommutative 4-sphere","year":2016,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Vetenskapsrådet","keywords":"Noncommutative geometry; Mathematics; Gauss–Bonnet theorem; Pure mathematics; Noncommutative quantum field theory; Connection (principal bundle); Vector bundle; Differential geometry; Metric (unit); Fundamental theorem of Riemannian geometry; Conformal map; Gauss; Noncommutative algebraic geometry; Mathematical analysis; Mathematical physics; Geometry; Scalar curvature; Einstein; Physics","score_opus":0.03752118547719909,"score_gpt":0.29471872997478865,"score_spread":0.2571975444975896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2338745159","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6312392,0.001315682,0.35352397,0.010207747,0.00039415475,0.0003735942,0.000048835875,0.000012134517,0.0028847128],"genre_scores_gemma":[0.9971796,0.00016325463,0.0008447443,0.00035880995,0.00059879175,0.000005329642,3.531345e-7,0.00001557979,0.0008335128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990047,0.000101689046,0.0003142766,0.000091872265,0.000319179,0.00016827066],"domain_scores_gemma":[0.98977536,0.009155716,0.0005054709,0.00025703307,0.00025295073,0.00005346506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014030914,0.00014518268,0.00030209246,0.000038605216,0.0002229499,0.000060011,0.00032125576,0.00005792255,0.00016367587],"category_scores_gemma":[0.0010491757,0.000048721067,0.00028371916,0.00051007915,0.00010738661,0.00012130833,0.00003881646,0.00025357713,0.000006730054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030926426,0.00035855817,0.00058333523,0.00005041959,0.0014029898,0.0000045934244,0.0014451176,0.00005728086,0.0003772046,0.78166854,0.04389583,0.16984683],"study_design_scores_gemma":[0.0009170952,0.00048535052,0.0009785263,0.00012501107,0.00038719032,0.000017505687,0.0016704625,0.00021362062,0.001161526,0.98161596,0.0122754425,0.00015229873],"about_ca_topic_score_codex":0.0000011343274,"about_ca_topic_score_gemma":0.0000015713624,"teacher_disagreement_score":0.36594045,"about_ca_system_score_codex":0.000021293965,"about_ca_system_score_gemma":0.000028800725,"threshold_uncertainty_score":0.19867875},"labels":[],"label_agreement":null},{"id":"W2339745667","doi":"10.4310/ajm.2020.v24.n1.a7","title":"Harnack estimate for mean curvature flow on the sphere","year":2020,"lang":"en","type":"preprint","venue":"Asian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Technische Universität Wien; Austrian Science Fund","keywords":"Mean curvature flow; Curvature; Regular polygon; Mathematics; Mean curvature; Unit sphere; Flow (mathematics); Harnack's inequality; Mathematical analysis; Geometry","score_opus":0.08198942211168128,"score_gpt":0.3289668359137304,"score_spread":0.2469774138020491,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2339745667","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0259673,0.00208085,0.869168,0.07474481,0.0037072047,0.003748126,0.00038744687,0.0002127786,0.019983513],"genre_scores_gemma":[0.21548149,0.000100801146,0.7797399,0.000788975,0.0023654618,0.000053068845,0.000029922636,0.0002843899,0.0011559696],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961629,0.00016695712,0.0017215464,0.00035940632,0.0011648375,0.00042434747],"domain_scores_gemma":[0.99330544,0.0014568708,0.003166422,0.001040395,0.00076360966,0.0002672827],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0023163739,0.00064855267,0.0016646824,0.00022660338,0.0001763232,0.00034125714,0.001605557,0.00051718147,0.00036759803],"category_scores_gemma":[0.004929024,0.00037964582,0.0015437723,0.00049230177,0.000076317636,0.00009057494,0.00029962993,0.0023042334,0.000051098097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018505873,0.0017539869,0.000049662598,0.0071926024,0.0068641277,0.00023239871,0.021263318,0.002216309,0.000069727525,0.20977958,0.7353037,0.015089555],"study_design_scores_gemma":[0.00069418084,0.0003685626,0.00001672821,0.0021594218,0.002379359,0.00012516609,0.0044493587,0.023541726,0.00018932615,0.9549908,0.010517958,0.00056739495],"about_ca_topic_score_codex":5.7384506e-7,"about_ca_topic_score_gemma":0.0000074511277,"teacher_disagreement_score":0.74521124,"about_ca_system_score_codex":0.00010024834,"about_ca_system_score_gemma":0.00026599833,"threshold_uncertainty_score":0.9999975},"labels":[],"label_agreement":null},{"id":"W2342270800","doi":"10.1007/978-1-4939-3246-7_2","title":"Submanifolds of Real Space Forms","year":2015,"lang":"en","type":"book-chapter","venue":"Springer monographs in mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Space (punctuation); Pure mathematics; Mathematics; Mathematical analysis; Computer science","score_opus":0.06190902699884828,"score_gpt":0.2920949172156497,"score_spread":0.2301858902168014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2342270800","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009585582,0.0015230795,0.001626968,0.00003880566,0.00022285614,0.00075908646,0.000056502806,0.00013353468,0.9860536],"genre_scores_gemma":[0.13715748,0.00536896,0.23494062,0.00003446198,0.000540892,0.00011941157,0.00013566438,0.0009851862,0.6207173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963217,0.00002240296,0.0015654475,0.00049332617,0.0011156644,0.000481461],"domain_scores_gemma":[0.9963735,0.00036637287,0.0013146411,0.0014011257,0.00036675468,0.00017764457],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0016909657,0.00069187145,0.001781657,0.0016107308,0.000039805927,0.000046822934,0.00068965426,0.0008066693,0.00036946486],"category_scores_gemma":[0.00026851794,0.00058889546,0.00075299374,0.00054231985,0.00015777195,0.00012257374,0.00026061214,0.0007105971,0.000056697165],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011155892,0.00020984875,0.00026384648,0.0010106204,0.00036199522,0.00002525208,0.001106361,0.000008095385,0.000008314831,0.99158096,0.0049293926,0.00048417572],"study_design_scores_gemma":[0.00040854476,0.00009205827,0.000044146378,0.0007644533,0.00047806953,0.000008180237,0.00045958709,0.0002009919,0.00003790087,0.9840881,0.01278714,0.0006308196],"about_ca_topic_score_codex":0.000028799372,"about_ca_topic_score_gemma":0.00016854667,"teacher_disagreement_score":0.36533627,"about_ca_system_score_codex":0.00012266106,"about_ca_system_score_gemma":0.00009819887,"threshold_uncertainty_score":0.99965626},"labels":[],"label_agreement":null},{"id":"W2347168348","doi":"10.1090/tran/6964","title":"A Weitzenböck formula for canonical metrics on four-manifolds","year":2016,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Centre de Recherches Mathématiques","keywords":"Mathematics; Ricci-flat manifold; Scalar curvature; Einstein; Pure mathematics; Curvature; Ricci curvature; Einstein manifold; Curvature of Riemannian manifolds; Mathematical physics; Canonical bundle; Mathematical analysis; Sectional curvature; Geometry","score_opus":0.044184733713123814,"score_gpt":0.30513254996703204,"score_spread":0.2609478162539082,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2347168348","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07922042,0.000014166298,0.9159278,0.0029838535,0.00006814353,0.0005095591,0.00006979201,0.00006698126,0.001139281],"genre_scores_gemma":[0.9226943,0.000034220266,0.07468609,0.00025007036,0.00005402612,0.000092654765,4.8410664e-7,0.000040788815,0.002147359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980966,0.00006872928,0.0005749268,0.0002835663,0.00059010374,0.0003860698],"domain_scores_gemma":[0.99484676,0.0036873212,0.00040833635,0.00076533476,0.00017052978,0.000121739235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006828098,0.00023436212,0.00068218255,0.00008261765,0.00021555222,0.00002142538,0.0005336758,0.00009651114,0.0002645924],"category_scores_gemma":[0.00080194935,0.00011564548,0.0016131365,0.0014384853,0.00037460212,0.00008212639,0.000022504802,0.00018615107,0.000020505457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005392173,0.0065928902,0.0005631427,0.0014588766,0.0055644903,0.000001956903,0.002514227,0.00018764599,0.00941455,0.76279116,0.054823108,0.15554874],"study_design_scores_gemma":[0.003946168,0.0017598843,0.0013075202,0.0005045004,0.0031755469,0.00003672992,0.002136154,0.008797111,0.01153462,0.95279694,0.012770328,0.0012345086],"about_ca_topic_score_codex":0.000015786249,"about_ca_topic_score_gemma":0.000008999925,"teacher_disagreement_score":0.8434739,"about_ca_system_score_codex":0.00012418503,"about_ca_system_score_gemma":0.000067373345,"threshold_uncertainty_score":0.47158858},"labels":[],"label_agreement":null},{"id":"W2347782603","doi":"","title":"The Induced Quarter Symmetric Metric on Submanifold","year":2001,"lang":"en","type":"article","venue":"Journal of Jimei University Natural Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Submanifold; Quarter (Canadian coin); Mathematics; Metric (unit); Connection (principal bundle); Combinatorics; Pure mathematics; Geometry; Engineering; Geography; Operations management","score_opus":0.022945139858944516,"score_gpt":0.2604492366304898,"score_spread":0.23750409677154527,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2347782603","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98831075,0.0003015932,0.00024911654,0.0013165064,0.0006162443,0.00006835497,4.240551e-7,0.000012017087,0.009125018],"genre_scores_gemma":[0.99766743,0.00011882023,0.00049974286,0.00006727527,0.00010153755,2.248964e-8,7.088016e-8,0.0000034974137,0.0015416256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9979268,0.00007890131,0.00026042864,0.00016531053,0.0012377774,0.00033081524],"domain_scores_gemma":[0.9976558,0.00079039985,0.0004895551,0.00024980682,0.00064636057,0.00016809264],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019636306,0.00011905033,0.0002283072,0.0017516712,0.00065729313,0.00014475512,0.0011656566,0.00005759869,0.000031721123],"category_scores_gemma":[0.0016360256,0.00006909865,0.00022580125,0.012107403,0.00014302766,0.00065298815,0.00008455338,0.0005414367,0.000019014025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014541022,0.0019662345,0.022651797,0.000041393694,0.0010377776,0.0021634533,0.0017152521,0.00015652853,0.014459905,0.67182755,0.11785721,0.1646688],"study_design_scores_gemma":[0.0110877175,0.0068448954,0.5134524,0.00039248404,0.0023310888,0.0032063928,0.030306414,0.009164542,0.006526414,0.048285834,0.3652777,0.0031240995],"about_ca_topic_score_codex":0.00002110582,"about_ca_topic_score_gemma":0.000019190109,"teacher_disagreement_score":0.6235417,"about_ca_system_score_codex":0.0003059013,"about_ca_system_score_gemma":0.00017402251,"threshold_uncertainty_score":0.5817206},"labels":[],"label_agreement":null},{"id":"W2348162227","doi":"10.4153/cmb-2016-035-x","title":"Real Hypersurfaces in Complex Two-plane Grassmannians with Reeb Parallel Ricci Tensor in the GTW Connection","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Pure mathematics; Ricci curvature; Tensor (intrinsic definition); Ricci decomposition; Plane (geometry); Mathematical analysis; Geometry","score_opus":0.040141726984070474,"score_gpt":0.26506047996270127,"score_spread":0.2249187529786308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2348162227","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9254537,0.000038487942,0.0023104395,0.02974983,0.00003334443,0.00078742305,0.00004697862,0.000056937046,0.041522834],"genre_scores_gemma":[0.9927397,0.00001981542,0.0050500836,0.0004895724,0.0000580111,0.000072259485,0.000014808187,0.000032786967,0.0015229898],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99785113,0.00022940867,0.00052318344,0.00036274947,0.00039986268,0.0006336812],"domain_scores_gemma":[0.9977227,0.0013105273,0.0001253001,0.00050926785,0.000073848845,0.00025837505],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011131153,0.00026606928,0.00052108645,0.00040127264,0.0001058137,0.00007637258,0.0004000636,0.00013704144,0.0048889844],"category_scores_gemma":[0.0007890575,0.00013676315,0.00008678243,0.000810401,0.00013643292,0.000046001955,0.000018308498,0.00026385539,0.0012095858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028277482,0.001244872,0.038948637,0.000504569,0.00035784574,0.0015936203,0.0060689608,0.00016546396,0.00040548004,0.6874805,0.25911677,0.0038305111],"study_design_scores_gemma":[0.016430452,0.0013605059,0.14418091,0.0019022227,0.00079410523,0.001106122,0.025389591,0.0031374765,0.000077191886,0.5254967,0.2760653,0.0040594013],"about_ca_topic_score_codex":0.009627849,"about_ca_topic_score_gemma":0.14057423,"teacher_disagreement_score":0.16198376,"about_ca_system_score_codex":0.0002129332,"about_ca_system_score_gemma":0.00010146611,"threshold_uncertainty_score":0.9995681},"labels":[],"label_agreement":null},{"id":"W2362077614","doi":"10.1090/proc/13259","title":"Entropy flux - electrostatic capacity - graphical mass","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Combinatorics; Entropy (arrow of time); Sigma; Mathematics; Thermodynamics; Quantum mechanics","score_opus":0.016803768371650214,"score_gpt":0.25377655909476754,"score_spread":0.23697279072311733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2362077614","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9823595,0.000015534943,0.0117736515,0.0033174874,0.000028794584,0.00029839337,0.000010463956,0.00009438328,0.002101757],"genre_scores_gemma":[0.9371301,0.00002622652,0.06161858,0.00027634873,0.00007537459,0.000034478795,2.6702511e-7,0.000036006895,0.00080259936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976353,0.00002308394,0.00060828286,0.00034681207,0.0008540795,0.0005324621],"domain_scores_gemma":[0.99772507,0.0007561563,0.0007641088,0.00028708827,0.00031310107,0.00015448316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080850977,0.00027801679,0.0007836437,0.00005534445,0.00015005286,0.00004825143,0.000694489,0.00008450337,0.00024606325],"category_scores_gemma":[0.0019602682,0.00013223129,0.0009589942,0.0015709462,0.0009718357,0.00015736654,0.0001491048,0.00027598956,0.000028990711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031085387,0.000428246,0.0067303623,0.000400487,0.00054314174,1.9548924e-7,0.0007575202,8.968927e-8,0.20553984,0.7562568,0.028299147,0.0010130914],"study_design_scores_gemma":[0.0003536902,0.00012414428,0.0016793093,0.00012617811,0.000299128,0.000008895781,0.00069819053,0.0002454077,0.017896568,0.977891,0.0004213773,0.00025607116],"about_ca_topic_score_codex":0.0000052701484,"about_ca_topic_score_gemma":2.7007275e-7,"teacher_disagreement_score":0.22163424,"about_ca_system_score_codex":0.00009480801,"about_ca_system_score_gemma":0.000025989248,"threshold_uncertainty_score":0.53922355},"labels":[],"label_agreement":null},{"id":"W2398032945","doi":"10.48550/arxiv.1605.06602","title":"Mean curvature in manifolds with Ricci curvature bounded from below","year":2016,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hypersurface; Ricci curvature; Mathematics; Riemannian manifold; Manifold (fluid mechanics); Scalar curvature; Mean curvature; Boundary (topology); Bounded function; Sectional curvature; Mathematical analysis; Curvature; Pure mathematics; Combinatorics; Geometry","score_opus":0.044085092122721665,"score_gpt":0.2788240480362351,"score_spread":0.23473895591351346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2398032945","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98164105,0.0042463527,0.001928327,0.0017514819,0.0008719939,0.00083053566,0.0002508271,0.00028282488,0.008196608],"genre_scores_gemma":[0.98752135,0.00030408238,0.004917388,0.00046488436,0.0011398451,0.00013022509,0.00039041849,0.00019372921,0.0049380604],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9950536,0.00026031092,0.0010305892,0.0016509664,0.0010812741,0.00092329417],"domain_scores_gemma":[0.99543613,0.00055966305,0.0009290661,0.002420345,0.00037510434,0.00027969514],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.00072626956,0.0011097597,0.0017632537,0.000683272,0.00016292268,0.00021836716,0.0013659486,0.0018049692,0.00087952317],"category_scores_gemma":[0.00047296195,0.00074341375,0.0005501588,0.0014232871,0.00012549892,0.00025597203,0.0008712428,0.0028431434,0.00027318654],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021521783,0.00079220184,0.95431554,0.00058314163,0.002433495,0.00040162512,0.0019846794,0.000028068476,0.00017508116,0.008575019,0.029492237,0.0010037016],"study_design_scores_gemma":[0.004397114,0.00022899485,0.5807673,0.003606002,0.0027528245,0.000026507778,0.0006752435,0.00022191746,0.000580353,0.33063126,0.072176345,0.003936203],"about_ca_topic_score_codex":0.00052932027,"about_ca_topic_score_gemma":0.0036522176,"teacher_disagreement_score":0.37354827,"about_ca_system_score_codex":0.00032010872,"about_ca_system_score_gemma":0.0002820821,"threshold_uncertainty_score":0.9995017},"labels":[],"label_agreement":null},{"id":"W2404757328","doi":"10.1016/j.aim.2016.05.008","title":"Flow by powers of the Gauss curvature","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Division of Mathematical Sciences; Australian Research Council; Natural Sciences and Engineering Research Council of Canada; Tsinghua University; National Science Foundation","keywords":"Mathematics; Regular polygon; Mean curvature flow; Limit (mathematics); Curvature; Flow (mathematics); Gauss; Gaussian curvature; Mathematical analysis; Mixed volume; Pure mathematics; Convex body; Geometry; Mean curvature; Convex optimization; Physics","score_opus":0.010267045469434886,"score_gpt":0.2773153313679953,"score_spread":0.2670482858985604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2404757328","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4368876,0.034589697,0.39922175,0.0070585236,0.0030364676,0.0029911464,0.0004377778,0.00036704302,0.11541],"genre_scores_gemma":[0.92023087,0.0011793431,0.0717769,0.00011703121,0.000069016896,0.000031900316,0.0000025181707,0.000055324123,0.0065371078],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985021,0.00005677618,0.00053736835,0.00019301876,0.00045636226,0.00025439673],"domain_scores_gemma":[0.9979959,0.00085189193,0.00036834978,0.00065813464,0.00008605606,0.00003967108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005094143,0.00018269698,0.00041032775,0.0000946451,0.00004045923,0.000010977525,0.0005134412,0.0001111201,0.00024235556],"category_scores_gemma":[0.0014176845,0.00008541744,0.00017002881,0.0008793352,0.00012435354,0.00023668545,0.00009010971,0.00015110442,0.000014973751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006692314,0.0033821191,0.023627136,0.0027997456,0.00055926846,0.000014457571,0.006036833,0.00032825329,0.010860977,0.7104982,0.10169483,0.14013125],"study_design_scores_gemma":[0.0008386286,0.00004284674,0.00030904528,0.00073272,0.00012362728,0.000007764719,0.0007124548,0.00082811137,0.0042568827,0.93550706,0.05627347,0.0003673564],"about_ca_topic_score_codex":0.0000011846664,"about_ca_topic_score_gemma":0.00002161389,"teacher_disagreement_score":0.48334327,"about_ca_system_score_codex":0.000040573068,"about_ca_system_score_gemma":0.000019602758,"threshold_uncertainty_score":0.34832224},"labels":[],"label_agreement":null},{"id":"W2404883945","doi":"","title":"Willmore Lagrangian Submanifolds In Complex Euclidean Space.","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Lagrangian; Euclidean space; Euclidean geometry; Pure mathematics; Space (punctuation); Willmore energy; Mathematical analysis; Geometry; Computer science; Mean curvature; Mean curvature flow; Curvature","score_opus":0.02715913364699494,"score_gpt":0.2647829052319364,"score_spread":0.2376237715849415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2404883945","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9818813,0.0001035277,0.000023697945,0.0009230976,0.00034438504,0.00034188852,0.0000028218587,0.00009284036,0.016286392],"genre_scores_gemma":[0.99745077,0.000012747704,0.0010570638,0.0001497152,0.000017108101,0.00003258897,0.000024478999,0.00003515629,0.0012203894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834585,0.000094206735,0.00042308625,0.0003126755,0.0003805194,0.00044368094],"domain_scores_gemma":[0.99880064,0.00022595716,0.0001451746,0.000539726,0.00014104854,0.00014746311],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004064227,0.00023295678,0.00046168469,0.0003273358,0.00008046222,0.000108263375,0.00035251776,0.00015197357,0.0015960232],"category_scores_gemma":[0.0002893424,0.00020372785,0.00016511012,0.0013424408,0.000043272765,0.00023460436,0.00009147057,0.0002587398,0.0004902632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000039449124,0.00031564184,0.040942345,0.000040035084,0.000064068336,0.00001914161,0.0003673639,0.00000228612,0.00024965312,0.88416266,0.07292587,0.0009069817],"study_design_scores_gemma":[0.0009209429,0.00005783694,0.1322143,0.000025059797,0.000044739652,0.000004753148,0.00048649122,0.0004998,0.00006901418,0.8582017,0.0071634776,0.00031189856],"about_ca_topic_score_codex":0.0007424224,"about_ca_topic_score_gemma":0.00029289804,"teacher_disagreement_score":0.091271944,"about_ca_system_score_codex":0.00007337681,"about_ca_system_score_gemma":0.000021402053,"threshold_uncertainty_score":0.99931663},"labels":[],"label_agreement":null},{"id":"W2405565426","doi":"10.1007/s40304-013-0008-4","title":"The $L^{\\frac{3}{2}}$ -Norm of the Scalar Curvature Under the Ricci Flow on a 3-Manifold","year":2013,"lang":"en","type":"article","venue":"Communications in Mathematics and Statistics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Ricci flow; Ricci curvature; Scalar curvature; Mathematics; Bounded function; Mathematical physics; Diffeomorphism; Manifold (fluid mechanics); Norm (philosophy); Scalar (mathematics); Curvature; Pure mathematics; Combinatorics; Physics; Mathematical analysis; Geometry","score_opus":0.04280710923320479,"score_gpt":0.309205302444416,"score_spread":0.2663981932112112,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2405565426","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16544709,0.02369029,0.59447736,0.10296138,0.001469395,0.012137195,0.0011778389,0.00028260448,0.09835689],"genre_scores_gemma":[0.78870434,0.002004561,0.20683347,0.00035857645,0.000032752832,0.00015769705,0.00001603488,0.00004373036,0.0018488275],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983379,0.00020515257,0.0006736428,0.0001433288,0.0004080889,0.00023183784],"domain_scores_gemma":[0.9902959,0.0061992756,0.0003999035,0.002788984,0.0002729037,0.000043017084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010548653,0.00019453606,0.000307826,0.00007779076,0.00071505463,0.0001769669,0.0016177214,0.0001062667,0.000048627346],"category_scores_gemma":[0.0015190322,0.000088556684,0.00009621255,0.00079556636,0.00037877113,0.00005671638,0.0004949872,0.00059811765,0.000017879443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000013798892,0.0002354147,0.00021254442,0.00005417883,0.000075563985,1.3527325e-7,0.001008008,0.000047823818,0.000008361067,0.98043805,0.014251737,0.0036668167],"study_design_scores_gemma":[0.00019693507,0.000027861062,0.0051036123,0.000113902184,0.00013903077,0.000004420318,0.0030732045,0.10090751,0.000010738628,0.88440007,0.0058768173,0.00014591946],"about_ca_topic_score_codex":0.000042342373,"about_ca_topic_score_gemma":0.00046318874,"teacher_disagreement_score":0.6232573,"about_ca_system_score_codex":0.000036782432,"about_ca_system_score_gemma":0.000042201347,"threshold_uncertainty_score":0.54996943},"labels":[],"label_agreement":null},{"id":"W2413386037","doi":"10.1515/crelle-2018-0021","title":"Gaussian heat kernel estimates: From functions to forms","year":2018,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Recherche Paris Sciences et Lettres","keywords":"Ricci curvature; Heat kernel; Mathematics; Curvature; Riemannian manifold; Scalar curvature; Infinity; Constraint (computer-aided design); Gaussian; Kernel (algebra); Manifold (fluid mechanics); Gaussian function; Harmonic; Gaussian curvature; Upper and lower bounds; Mathematical analysis; Pure mathematics; Bounded function; Property (philosophy); Physics; Geometry","score_opus":0.041781916518127585,"score_gpt":0.3355256823933465,"score_spread":0.29374376587521894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2413386037","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29102516,0.047278285,0.6121473,0.012301821,0.00783042,0.0020557165,0.0007763272,0.0005629314,0.026022045],"genre_scores_gemma":[0.33054596,0.038296476,0.5308396,0.0030585038,0.045474425,0.00032128533,0.00077309186,0.002258529,0.04843211],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.991395,0.0003018547,0.0034313,0.0010818427,0.002309648,0.001480369],"domain_scores_gemma":[0.9912573,0.0011060553,0.002558775,0.0017316119,0.0015185899,0.0018276746],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.003088793,0.001612463,0.0029972622,0.0021132524,0.0016810645,0.003030075,0.0020017477,0.0013836791,0.0036989762],"category_scores_gemma":[0.002715325,0.0011149709,0.0024386714,0.0011644475,0.0001677434,0.0006170452,0.0012843524,0.0062623164,0.0009634023],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00076063396,0.003504514,0.0012068627,0.0019501419,0.021700999,0.002689262,0.010457874,0.004163179,0.001500293,0.003808031,0.9326513,0.015606907],"study_design_scores_gemma":[0.002458614,0.00089909276,0.0003162645,0.0077931345,0.006888465,0.003009957,0.003191223,0.0033298337,0.0009580347,0.8148516,0.15359381,0.002710022],"about_ca_topic_score_codex":0.000082052786,"about_ca_topic_score_gemma":0.00017372974,"teacher_disagreement_score":0.8110435,"about_ca_system_score_codex":0.00082098885,"about_ca_system_score_gemma":0.00054881873,"threshold_uncertainty_score":0.99991274},"labels":[],"label_agreement":null},{"id":"W2462425239","doi":"10.1515/acv-2018-0001","title":"Lagrangian calculus for nonsymmetric diffusion operators","year":2018,"lang":"en","type":"preprint","venue":"Advances in Calculus of Variations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Ricci curvature; Pure mathematics; Compact space; Scalar curvature; Contraction (grammar); Semigroup; Mathematical analysis; Hausdorff space; Curvature; Riemannian manifold; Context (archaeology); Metric space; Geometry","score_opus":0.026178426688561678,"score_gpt":0.3407697441998673,"score_spread":0.3145913175113056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2462425239","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01409963,0.004737716,0.97267914,0.00034371368,0.0016305016,0.0014725777,0.00047072247,0.00007765753,0.0044883694],"genre_scores_gemma":[0.8984376,0.0011943545,0.0982768,0.00007691737,0.0005465299,0.00047593986,0.00029499113,0.00007963702,0.00061722414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99727917,0.00011249168,0.0010811792,0.00062870583,0.0004950664,0.0004034103],"domain_scores_gemma":[0.99651,0.0011628772,0.00070979306,0.00085554214,0.0006531716,0.00010861669],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00090684474,0.0003734553,0.00093139615,0.0012816059,0.00015156715,0.00005755694,0.00061657315,0.00048704236,0.00013389703],"category_scores_gemma":[0.0034494062,0.00033026512,0.00049452076,0.0023299418,0.00009488165,0.00022312174,0.00040435675,0.0004262865,0.0000111729505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013936484,0.0034918305,0.004586074,0.002864683,0.00091734144,0.000010149169,0.0026735624,0.0075892345,0.0002030221,0.92045355,0.008106052,0.04896513],"study_design_scores_gemma":[0.0063367267,0.0008060824,0.006453738,0.0019172225,0.0032568837,0.00000931627,0.0012041597,0.34902218,0.0013762536,0.50614744,0.120090395,0.0033796031],"about_ca_topic_score_codex":0.00015790839,"about_ca_topic_score_gemma":0.0007413146,"teacher_disagreement_score":0.88433796,"about_ca_system_score_codex":0.00017757648,"about_ca_system_score_gemma":0.00018395719,"threshold_uncertainty_score":0.99991494},"labels":[],"label_agreement":null},{"id":"W2464532239","doi":"10.4153/cmb-2016-042-2","title":"A Classification of Three-dimensional Real Hypersurfaces in Non-flat Complex Space Forms in Terms of their Generalized Tanaka–Webster Lie Derivative","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Lie derivative; Mathematics; Vector field; Hypersurface; Connection (principal bundle); Pure mathematics; Space (punctuation); Field (mathematics); Derivative (finance); Mathematical analysis; Complex space; Vector space; Lie algebra; Geometry; Adjoint representation of a Lie algebra; Weight","score_opus":0.04635564232541454,"score_gpt":0.2628889674611426,"score_spread":0.21653332513572807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2464532239","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98706067,0.000020874268,0.0013266739,0.003599569,0.00001888541,0.00042830972,0.00005144383,0.000009705129,0.0074838833],"genre_scores_gemma":[0.99140036,0.000008993678,0.0080123395,0.00007320819,0.000016258036,0.00003165584,0.000010899159,0.00002809533,0.0004181695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979703,0.0000850832,0.0008807264,0.00030798189,0.00033163044,0.0004242948],"domain_scores_gemma":[0.9980179,0.0008804942,0.00032515507,0.00044467332,0.00011190181,0.00021985864],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000691795,0.0002450873,0.00079978304,0.00054940843,0.00003243087,0.000014175466,0.00028792772,0.00019673885,0.0033415495],"category_scores_gemma":[0.00061587157,0.00015114584,0.00015990649,0.00066989684,0.00019201841,0.000057197307,0.000045961413,0.00014144371,0.0001387393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033713636,0.0011209215,0.08965119,0.0013341743,0.00054879254,0.000086631975,0.004117863,0.000062073006,0.084713176,0.7911778,0.02044861,0.0064016045],"study_design_scores_gemma":[0.0057069464,0.00030773014,0.24276362,0.0020711587,0.00016460917,0.000021748614,0.0012232412,0.010145192,0.0045479815,0.7281611,0.0036575315,0.0012291624],"about_ca_topic_score_codex":0.0019182118,"about_ca_topic_score_gemma":0.030516101,"teacher_disagreement_score":0.15311244,"about_ca_system_score_codex":0.00021143872,"about_ca_system_score_gemma":0.00010732485,"threshold_uncertainty_score":0.9975695},"labels":[],"label_agreement":null},{"id":"W2474981237","doi":"10.4153/cmb-2015-061-3","title":"On the Bernstein Problem in the Three-dimensional Heisenberg Group","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Heisenberg group; Simple (philosophy); Group (periodic table); Ambiguity; Pure mathematics; Algebra over a field; Combinatorics; Quantum mechanics; Epistemology","score_opus":0.04660610829913054,"score_gpt":0.24893903632064646,"score_spread":0.20233292802151592,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2474981237","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56896156,0.00038290053,0.0021175896,0.17090398,0.00019877464,0.0025389264,0.00003854786,0.000104263025,0.25475347],"genre_scores_gemma":[0.9881249,8.669149e-7,0.0036596842,0.005613272,0.00013325355,0.00015645547,0.0000105038125,0.00004181049,0.002259224],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976745,0.00025082013,0.00046968894,0.00029422872,0.0007472586,0.00056345],"domain_scores_gemma":[0.99650884,0.0021881533,0.000100155776,0.00070155103,0.00009103379,0.0004102788],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0028421036,0.00025251813,0.00035723273,0.0002109822,0.00015912765,0.00012768254,0.0006598756,0.0001489327,0.005761856],"category_scores_gemma":[0.002500925,0.00012727192,0.00015881055,0.0007605106,0.0001183418,0.000025416572,0.000047222245,0.0005129545,0.0056463676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006394624,0.000121653386,0.000042861422,0.000020851161,0.000026797821,0.00005147305,0.0003775233,0.000020416277,7.316781e-7,0.740423,0.25867838,0.00022988318],"study_design_scores_gemma":[0.00034970752,0.000083850005,0.00013049698,0.00010731506,0.000050995735,0.000037081758,0.0006272879,0.0010107977,0.0000023551063,0.9207915,0.07657744,0.0002311499],"about_ca_topic_score_codex":0.0016628614,"about_ca_topic_score_gemma":0.018841563,"teacher_disagreement_score":0.41916338,"about_ca_system_score_codex":0.00017146893,"about_ca_system_score_gemma":0.00016190199,"threshold_uncertainty_score":0.999062},"labels":[],"label_agreement":null},{"id":"W2510027200","doi":"10.1515/ans-2003-0204","title":"Asymptotic Estimates of the First Eigenvalue of the p-Laplacian","year":2003,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Eigenfunction; Quotient; Eigenvalues and eigenvectors; Laplace operator; Invariant (physics); Degenerate energy levels; Sectional curvature; Mathematical analysis; Pure mathematics; Norm (philosophy); Lambda; Constant (computer programming); Curvature; Geometry; Mathematical physics; Scalar curvature","score_opus":0.04028447577104386,"score_gpt":0.321010568353987,"score_spread":0.2807260925829431,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2510027200","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98401266,0.009392263,0.0006098119,0.0007122542,0.0006806793,0.00055452343,0.000028697408,0.000033459768,0.0039756405],"genre_scores_gemma":[0.97637004,0.00025304346,0.022653643,0.00007727306,0.000028398965,0.000012353441,4.7584405e-7,0.000018476503,0.0005862778],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890184,0.00005243973,0.00039798915,0.00015771289,0.00031294196,0.00017708207],"domain_scores_gemma":[0.99818605,0.0006409938,0.00035288394,0.00055855664,0.00024438516,0.00001709959],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002785142,0.0001579212,0.0004426331,0.00004780167,0.00019786952,0.0000046274686,0.00029125848,0.000043168366,0.000016081114],"category_scores_gemma":[0.0038576403,0.000076899705,0.0002549307,0.0009217022,0.0002200356,0.000045884597,0.00012395653,0.000121382756,0.000003157223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001552779,0.0037812977,0.60541475,0.004841598,0.009761114,0.000009261555,0.020466639,0.018502718,0.0043030013,0.3041388,0.011364262,0.017261276],"study_design_scores_gemma":[0.005827489,0.00070984615,0.12613438,0.0028276658,0.0053364155,0.00004055538,0.02901009,0.004523992,0.2677643,0.4281993,0.12747473,0.002151242],"about_ca_topic_score_codex":0.0000034547202,"about_ca_topic_score_gemma":0.000104729836,"teacher_disagreement_score":0.47928035,"about_ca_system_score_codex":0.000022553862,"about_ca_system_score_gemma":0.000028937962,"threshold_uncertainty_score":0.46182346},"labels":[],"label_agreement":null},{"id":"W2514138730","doi":"10.1007/s40995-016-0099-3","title":"Weyl Manifold with a Ricci Quarter-Symmetric Connection","year":2016,"lang":"en","type":"article","venue":"Iranian Journal of Science and Technology Transactions A Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Ricci flow; Quarter (Canadian coin); Pure mathematics; Ricci curvature; Manifold (fluid mechanics); Metric connection; Uniqueness; Weyl transformation; Ricci decomposition; Mathematical analysis; Fundamental theorem of Riemannian geometry; Geometry","score_opus":0.013671883300982235,"score_gpt":0.24853935389029655,"score_spread":0.23486747058931431,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2514138730","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78206366,0.00011960381,0.21256085,0.0044720983,0.0001810446,0.000087548804,0.0000015270474,0.000042785687,0.00047090018],"genre_scores_gemma":[0.99053127,0.00006980608,0.009248255,0.000028254082,0.00001891481,0.000002965401,6.9268697e-9,0.0000052375835,0.000095276744],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99789,0.000014462312,0.0003705703,0.0003332349,0.0009896209,0.00040208802],"domain_scores_gemma":[0.9977517,0.00012955953,0.0003201767,0.00027493876,0.0013400989,0.0001835156],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0024055466,0.00013186462,0.00026243684,0.0048798993,0.0008017399,0.00012460706,0.00071769586,0.00007782006,0.000051270108],"category_scores_gemma":[0.00049806084,0.00007077402,0.00005041366,0.018518051,0.0035043368,0.0015478664,0.000013638296,0.00023791053,0.000005174821],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010423845,0.00082620076,0.00941604,0.00004766793,0.00015718305,0.00015305425,0.0012257737,0.000010556126,0.402558,0.16230297,0.00026181925,0.4229365],"study_design_scores_gemma":[0.019749157,0.022596516,0.0885624,0.0024726414,0.0026006333,0.049077127,0.066930644,0.002898501,0.30947393,0.41474733,0.016590366,0.004300747],"about_ca_topic_score_codex":0.000003653038,"about_ca_topic_score_gemma":0.000024063605,"teacher_disagreement_score":0.41863576,"about_ca_system_score_codex":0.00012726121,"about_ca_system_score_gemma":0.0004943718,"threshold_uncertainty_score":0.99920756},"labels":[],"label_agreement":null},{"id":"W2514782409","doi":"10.1002/cpa.21736","title":"Ricci Curvature and Bochner Formulas for Martingales","year":2018,"lang":"en","type":"preprint","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Ricci curvature; Mathematics; Riemann curvature tensor; Curvature; Bounded function; Scalar curvature; Ricci flow; Formalism (music); Hessian matrix; Path (computing); Mathematical proof; Mathematical analysis; Pure mathematics; Applied mathematics; Geometry; Computer science","score_opus":0.08467329869625244,"score_gpt":0.3410223718468822,"score_spread":0.25634907315062977,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2514782409","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32594615,0.03080155,0.34934965,0.023931965,0.0009653052,0.021129629,0.0018127013,0.002012167,0.24405088],"genre_scores_gemma":[0.33637315,0.0014234725,0.6590885,0.00034273224,0.00024076531,0.0009542301,0.0002957261,0.00012132282,0.0011600952],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821544,0.00003537329,0.0007054079,0.00046813858,0.0002704426,0.00030521626],"domain_scores_gemma":[0.9944981,0.001563449,0.0006670365,0.002911574,0.0002356385,0.00012421946],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00091051054,0.00046611085,0.0008335896,0.00026343158,0.0005065005,0.00026179224,0.0009682381,0.0005820962,0.000022233104],"category_scores_gemma":[0.00053663354,0.0003784502,0.00018511822,0.00028263908,0.00025703042,0.00004594868,0.001519638,0.00078908855,0.00001155037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001948867,0.000660422,0.000025802718,0.002157445,0.0004696231,2.312087e-7,0.0017439378,0.000004563375,0.00006785016,0.93911,0.04805754,0.0076830904],"study_design_scores_gemma":[0.00042408463,0.000061393126,0.00003630649,0.00037510274,0.00083236414,0.0000053301856,0.00067143055,0.003646305,0.00018902842,0.9628085,0.030420925,0.0005292397],"about_ca_topic_score_codex":0.0000011719472,"about_ca_topic_score_gemma":0.000022420818,"teacher_disagreement_score":0.30973884,"about_ca_system_score_codex":0.00003185226,"about_ca_system_score_gemma":0.00004595014,"threshold_uncertainty_score":0.9998667},"labels":[],"label_agreement":null},{"id":"W2516242111","doi":"10.22232/stj.2016.04.01.10","title":"On a Type of Quarter-Symmetric Non-Metric Connection in LP-Sasakian Manifolds","year":2016,"lang":"en","type":"article","venue":"Science & Technology Journal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Metric connection; Mathematics; Connection (principal bundle); Type (biology); Metric (unit); Topology (electrical circuits); Pure mathematics; Mathematical analysis; Geology; Geometry; Combinatorics; Geography; Economics; Paleontology; Fundamental theorem of Riemannian geometry; Archaeology; Operations management","score_opus":0.020807958824567062,"score_gpt":0.3017987343208971,"score_spread":0.28099077549633006,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2516242111","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9872328,0.00012220483,0.008420419,0.0012778814,0.00038629334,0.00009417923,8.825953e-7,0.00003587383,0.0024294776],"genre_scores_gemma":[0.99777275,0.000064167965,0.0019075412,0.000029576511,0.000032836753,0.0000027452847,6.937458e-8,0.000007965567,0.00018235305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99814576,0.000032851138,0.0005000046,0.0002900685,0.0005991531,0.00043215015],"domain_scores_gemma":[0.998473,0.00025956673,0.0004099015,0.00037966183,0.00039223107,0.000085626176],"candidate_categories":["bibliometrics"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.0020860683,0.00013623122,0.00033376904,0.013386397,0.00016836412,0.000037312453,0.00070010964,0.00020241659,0.00016708828],"category_scores_gemma":[0.004307336,0.00008349673,0.000087781074,0.028371265,0.00038105538,0.00026034046,0.000068221976,0.00038366552,0.000056955585],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014871001,0.0017103257,0.15143973,0.000049257957,0.00014608029,0.00018078655,0.0004091468,0.00003936319,0.077950895,0.44482073,0.006696628,0.31640834],"study_design_scores_gemma":[0.0034302208,0.004219089,0.069191195,0.00048430596,0.00013241675,0.00097456924,0.0026993006,0.0008123982,0.028754475,0.8872772,0.0013107907,0.0007140369],"about_ca_topic_score_codex":0.000005523991,"about_ca_topic_score_gemma":0.00001494655,"teacher_disagreement_score":0.44245645,"about_ca_system_score_codex":0.00020991279,"about_ca_system_score_gemma":0.00017279552,"threshold_uncertainty_score":0.997796},"labels":[],"label_agreement":null},{"id":"W2518168864","doi":"10.14445/22315373/ijmtt-v34p511","title":"Invariant Submanifolds of (k, μ)-Contact Manifold Admitting Quarter Symmetric Metric Connection","year":2016,"lang":"en","type":"article","venue":"International Journal of Mathematics Trends and Technology","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Invariant (physics); Quarter (Canadian coin); Pure mathematics; Connection (principal bundle); Manifold (fluid mechanics); Metric connection; Mathematical analysis; Geometry; Mathematical physics; Fundamental theorem of Riemannian geometry; Scalar curvature","score_opus":0.018952655089603906,"score_gpt":0.277443143392294,"score_spread":0.25849048830269006,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2518168864","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94374573,0.00072496827,0.048084952,0.0044779168,0.00052688154,0.00007116194,0.000015512414,0.000045595563,0.0023072592],"genre_scores_gemma":[0.9871852,0.00020466489,0.012223472,0.00001368842,0.00011516765,0.000002705048,7.996319e-7,0.000017005459,0.00023733165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979681,0.00003419542,0.001094691,0.00015903288,0.0005645675,0.000179444],"domain_scores_gemma":[0.99657387,0.0008262972,0.0014871166,0.00020879292,0.0008401589,0.000063745916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093343115,0.00017529105,0.00057081925,0.004900398,0.000033535034,0.00003649383,0.00046140092,0.00020493519,0.00022354643],"category_scores_gemma":[0.0019635155,0.000107663756,0.00020249725,0.0017551827,0.000045180746,0.0002071213,0.00009468301,0.00019099258,0.0000043660884],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035150624,0.00084024156,0.010437881,0.00007509935,0.001472204,0.000093380026,0.00021065239,5.015445e-7,0.0074550114,0.88253015,0.0011711547,0.0956786],"study_design_scores_gemma":[0.0076374616,0.0027644678,0.014010384,0.001444573,0.0015269659,0.004616972,0.0039342986,0.0011879494,0.026500959,0.93211895,0.0033736425,0.0008833997],"about_ca_topic_score_codex":0.0000059722083,"about_ca_topic_score_gemma":0.000009528558,"teacher_disagreement_score":0.0947952,"about_ca_system_score_codex":0.00007075455,"about_ca_system_score_gemma":0.000032548953,"threshold_uncertainty_score":0.43904004},"labels":[],"label_agreement":null},{"id":"W2518200719","doi":"10.12988/ijcms.2014.4325","title":"On semi-invariant submanifolds of a nearly Sasakian manifold with a quarter symmetric non-metric connection","year":2014,"lang":"en","type":"article","venue":"International Journal of Contemporary Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Invariant (physics); Connection (principal bundle); Mathematics; Pure mathematics; Quarter (Canadian coin); Manifold (fluid mechanics); Metric (unit); Mathematical analysis; Topology (electrical circuits); Geometry; Fundamental theorem of Riemannian geometry; Combinatorics; Mathematical physics; Geography; Scalar curvature; Engineering","score_opus":0.028412462331305333,"score_gpt":0.28820308725226723,"score_spread":0.2597906249209619,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2518200719","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7321959,0.00013309003,0.18652597,0.0018345515,0.00050120987,0.00026803275,0.0000072566913,0.00002544763,0.07850852],"genre_scores_gemma":[0.993265,0.0000061541778,0.006182015,0.0001567011,0.00020363423,0.0000037180614,9.967615e-7,0.000013140243,0.00016864123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961446,0.0001505618,0.0011392055,0.00024467352,0.002101727,0.00021921283],"domain_scores_gemma":[0.99509996,0.0023844861,0.0013568463,0.00020432768,0.00079545577,0.00015893289],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031590802,0.00021864004,0.0006489975,0.0016743545,0.0000825677,0.00019637022,0.00086683355,0.000096299234,0.0002449983],"category_scores_gemma":[0.002321654,0.00013133275,0.0002840575,0.0019809357,0.0001546838,0.0005226807,0.000048347545,0.00025326965,0.00002340349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029757532,0.0012580001,0.003101538,0.00010634756,0.00063940545,0.00008332585,0.0006100189,0.00011021585,0.00030624695,0.988493,0.0035993683,0.0013949572],"study_design_scores_gemma":[0.0040246476,0.008003302,0.005649046,0.001660226,0.00033594016,0.00079846324,0.0021656973,0.02356828,0.0020695096,0.9501325,0.0008763036,0.00071608124],"about_ca_topic_score_codex":0.000024414097,"about_ca_topic_score_gemma":0.000006053012,"teacher_disagreement_score":0.2610691,"about_ca_system_score_codex":0.000060715272,"about_ca_system_score_gemma":0.00016460259,"threshold_uncertainty_score":0.5355594},"labels":[],"label_agreement":null},{"id":"W2518448044","doi":"10.9790/5728-1204020710","title":"Invariant Submanifolds in a Indefinite Trans-Sasakian Manifold","year":2016,"lang":"en","type":"article","venue":"IOSR Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Horizon College and Seminary","funders":"","keywords":"Mathematics; Pure mathematics; Invariant (physics); Manifold (fluid mechanics); Mathematical physics","score_opus":0.04500881320849296,"score_gpt":0.2776867610871619,"score_spread":0.23267794787866894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2518448044","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8805914,0.00051217794,0.11011738,0.0022944903,0.0003263489,0.00029280825,0.000013655849,0.000038459555,0.0058132517],"genre_scores_gemma":[0.9652704,0.0001824308,0.033650577,0.0000811495,0.00016736437,0.0000037361979,3.2643396e-7,0.000044863038,0.00059914915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969288,0.00012637531,0.0015887439,0.00017163529,0.00079175667,0.00039267493],"domain_scores_gemma":[0.99700344,0.0011369848,0.0009982605,0.0004168622,0.00026864285,0.00017580528],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027235486,0.0002713031,0.0008571911,0.0008190283,0.000044749584,0.000065095854,0.0005433743,0.00019885486,0.0005176141],"category_scores_gemma":[0.0013264605,0.00015850055,0.00038819102,0.0008751963,0.000037182723,0.00032166985,0.000045312237,0.00034036886,0.000048309685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019124795,0.006084644,0.012657491,0.0013793135,0.0015781049,0.0020756978,0.014515602,0.00002913209,0.0124724675,0.91651297,0.015789395,0.01671393],"study_design_scores_gemma":[0.0061677387,0.0006132588,0.0040930575,0.0026427307,0.0007647904,0.0014966386,0.0037712716,0.0003216571,0.0020825511,0.9704696,0.006637789,0.0009389323],"about_ca_topic_score_codex":0.000005466619,"about_ca_topic_score_gemma":0.000084381696,"teacher_disagreement_score":0.084678985,"about_ca_system_score_codex":0.00011080423,"about_ca_system_score_gemma":0.00010519616,"threshold_uncertainty_score":0.6463465},"labels":[],"label_agreement":null},{"id":"W2518716409","doi":"10.48550/arxiv.1609.02315","title":"Index of the critical catenoid","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Index (typography); Mathematics; Geology; Computer science","score_opus":0.10488769743250559,"score_gpt":0.2205698903580945,"score_spread":0.1156821929255889,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2518716409","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82500875,0.00013571767,0.15009795,0.0005797969,0.0008454153,0.00035165087,0.00007972084,0.000086639724,0.022814337],"genre_scores_gemma":[0.9949176,0.000030301095,0.00009240271,0.000032621036,0.00008464222,4.2197712e-7,0.0000017901305,0.000018628287,0.0048216046],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987739,0.00013547543,0.00024422535,0.00046454667,0.00014051446,0.00024138349],"domain_scores_gemma":[0.9977881,0.00044709147,0.00026626847,0.0011265646,0.00028487106,0.000087155895],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027239247,0.0002220242,0.00043698438,0.00020188604,0.000085380954,0.000019395899,0.0009170974,0.00035722792,0.00030754734],"category_scores_gemma":[0.0007036284,0.00014622949,0.0004923816,0.0006704454,0.00023683056,0.0000630925,0.0010111692,0.0004803338,0.000030357001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033922406,0.000247119,0.021418322,0.0003396215,0.00037730264,0.000042621374,0.00013314343,0.0011043563,0.000053052954,0.971969,0.004099351,0.00018220155],"study_design_scores_gemma":[0.00031903005,0.000018599849,0.00432374,0.00020792292,0.0006176197,0.0000021269682,0.00014800213,0.0040403185,0.00020168781,0.9889106,0.0008907552,0.00031960537],"about_ca_topic_score_codex":0.000049952407,"about_ca_topic_score_gemma":0.000034111217,"teacher_disagreement_score":0.16990882,"about_ca_system_score_codex":0.000088049215,"about_ca_system_score_gemma":0.000121315745,"threshold_uncertainty_score":0.59630656},"labels":[],"label_agreement":null},{"id":"W2528762899","doi":"10.3390/math9151802","title":"Pinned Geometric Configurations in Euclidean Space and Riemannian Manifolds","year":2021,"lang":"en","type":"preprint","venue":"Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Riemannian manifold; Hausdorff dimension; Dimension (graph theory); Euclidean geometry; Boundary (topology); Combinatorics; Hausdorff space; Euclidean space; Context (archaeology); Manifold (fluid mechanics); Lebesgue measure; Variety (cybernetics); Pure mathematics; Lebesgue integration; Mathematical analysis; Geometry","score_opus":0.044772299594291215,"score_gpt":0.2985828357771169,"score_spread":0.2538105361828257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2528762899","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8632651,0.003499137,0.09727123,0.0018331007,0.0006554165,0.0017109684,0.00008331711,0.00028378257,0.03139796],"genre_scores_gemma":[0.8811512,0.00047141235,0.11454196,0.00010314509,0.0001740821,0.00011531908,0.00012581401,0.00011504952,0.003202033],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967527,0.00014290618,0.0012126364,0.0007260104,0.00067682465,0.0004889452],"domain_scores_gemma":[0.9966356,0.00093638216,0.00068819046,0.0012641015,0.00029295872,0.00018274278],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012390768,0.00057778665,0.0014631299,0.0014739475,0.00011602577,0.0005473693,0.00044853784,0.0006389749,0.000553226],"category_scores_gemma":[0.0025270863,0.0005445024,0.00031384028,0.0023184742,0.00007351295,0.000121873825,0.00072350056,0.0009986719,0.00003200125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003161824,0.0072623705,0.0070707793,0.026631912,0.0033672766,0.001235091,0.038070716,0.0010769587,0.0005825201,0.86834365,0.0380092,0.0083179325],"study_design_scores_gemma":[0.0024205027,0.00017401713,0.009255571,0.003763901,0.0024887545,0.00024103564,0.02023762,0.031856187,0.00067208277,0.9199497,0.005309406,0.0036312358],"about_ca_topic_score_codex":0.000081450045,"about_ca_topic_score_gemma":0.00033052117,"teacher_disagreement_score":0.051606063,"about_ca_system_score_codex":0.0001294429,"about_ca_system_score_gemma":0.00014324556,"threshold_uncertainty_score":0.99970067},"labels":[],"label_agreement":null},{"id":"W2529459681","doi":"10.1142/s1793525318500103","title":"Monotone homotopies and contracting discs on Riemannian surfaces","year":2016,"lang":"en","type":"preprint","venue":"Journal of Topology and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Monotone polygon; Homotopy; Contractible space; Simple (philosophy); Bounded function; Monotonic function; Pure mathematics; Surface (topology); Combinatorics; Disjoint sets; Mathematical analysis; Geometry","score_opus":0.028589408603535645,"score_gpt":0.32174610412915944,"score_spread":0.2931566955256238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2529459681","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9848982,0.0037455715,0.006407251,0.003983768,0.00019775919,0.000066908266,0.000021724492,0.000008668755,0.00067011785],"genre_scores_gemma":[0.9955493,0.0018259003,0.0014070184,0.00007681078,0.00025727096,0.0000018564816,0.000003068794,0.0000113293945,0.00086743827],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824923,0.00020129577,0.0007902995,0.00028239287,0.00026342654,0.0002133673],"domain_scores_gemma":[0.99684876,0.0010335514,0.0014855842,0.000279707,0.00022146066,0.00013092287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011093803,0.00026789028,0.0014839172,0.0009967522,0.00015106778,0.00009004463,0.00019928595,0.0003793992,0.00013872997],"category_scores_gemma":[0.00079511217,0.0001623645,0.0005748552,0.00035672454,0.00018953494,0.000097538505,0.00017685286,0.0007145637,0.000001171084],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007276054,0.001313897,0.77297014,0.00093501183,0.099678144,0.0007794509,0.0051972265,0.0010607844,0.0006120349,0.07539498,0.004132642,0.037198097],"study_design_scores_gemma":[0.0024023582,0.0007935813,0.22213127,0.0008185708,0.05131974,0.00026327933,0.0042866706,0.002637126,0.00046336165,0.70918876,0.0042641577,0.0014311378],"about_ca_topic_score_codex":0.000027332298,"about_ca_topic_score_gemma":0.00006872463,"teacher_disagreement_score":0.6337938,"about_ca_system_score_codex":0.000025923644,"about_ca_system_score_gemma":0.000035400924,"threshold_uncertainty_score":0.66210324},"labels":[],"label_agreement":null},{"id":"W2534774971","doi":"","title":"(ALMOST) Alfa-Cosymplectic f-Manifolds Endowed With A Quarter-Symmetric Metric Connection","year":2016,"lang":"en","type":"article","venue":"International Journal of Mathematics & Statistics/International journal of mathematics and statistics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Quarter (Canadian coin); Metric (unit); Connection (principal bundle); Topology (electrical circuits); Combinatorics; Pure mathematics; Geometry; Geography; Operations management; Economics","score_opus":0.020005322294927807,"score_gpt":0.2920439508792885,"score_spread":0.27203862858436073,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2534774971","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.029465888,0.0003811114,0.9656207,0.000989645,0.0018959835,0.00026634385,0.0007854145,0.00002318445,0.0005717424],"genre_scores_gemma":[0.38401031,0.0012647446,0.61326855,0.00009418456,0.00082644523,0.0000063658385,0.000019312469,0.00009539642,0.00041470374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99103266,0.00017004488,0.003807979,0.00035497735,0.0041197375,0.0005146244],"domain_scores_gemma":[0.9762914,0.0071396925,0.0066937204,0.00038677503,0.009049436,0.00043898093],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0028660642,0.00065977994,0.0015420937,0.002831887,0.00013709953,0.0005482549,0.0015948229,0.00021099765,0.00073965546],"category_scores_gemma":[0.009507268,0.00042038024,0.00039615313,0.0008278218,0.00024337086,0.0007470229,0.00018127593,0.00060742523,0.000031331554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00074728613,0.0056083165,0.0023204884,0.0006153565,0.012192259,0.0034805783,0.0037179634,0.00012169905,0.0016164304,0.87675893,0.03855659,0.05426409],"study_design_scores_gemma":[0.012716665,0.0034975582,0.0014714485,0.002698221,0.0033694976,0.017028598,0.006403602,0.010107616,0.0010022512,0.93393934,0.0063112066,0.0014540268],"about_ca_topic_score_codex":0.000018696424,"about_ca_topic_score_gemma":0.00004957409,"teacher_disagreement_score":0.35454443,"about_ca_system_score_codex":0.0005145651,"about_ca_system_score_gemma":0.00045742406,"threshold_uncertainty_score":0.9998248},"labels":[],"label_agreement":null},{"id":"W2540284785","doi":"10.48550/arxiv.1610.07706","title":"Ancient Solutions on Bundles with Non-abelian Structural Group","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Ricci flow; Mathematics; Pure mathematics; Group (periodic table); Abelian group; Bundle; Vector bundle; Fiber bundle; Curvature; Principal bundle; Mathematical analysis; Ricci curvature; Geometry; Physics; Materials science","score_opus":0.0879875513819831,"score_gpt":0.20473315852137094,"score_spread":0.11674560713938785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2540284785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8891535,0.000053731088,0.101083525,0.00013111367,0.0003542129,0.00037138673,0.000085961925,0.00013619347,0.008630362],"genre_scores_gemma":[0.9950585,0.000040578623,0.00077381544,0.000058578018,0.00014829836,0.0000016957976,0.00003191539,0.000035415254,0.0038512128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981004,0.00007751943,0.00022381499,0.00089465996,0.00019469943,0.00050888973],"domain_scores_gemma":[0.9979733,0.0001786213,0.0003471219,0.0010933646,0.00020137946,0.00020617795],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00023107702,0.00042179067,0.00051616254,0.00053937244,0.000294552,0.0000732389,0.0006387536,0.00031932534,0.00022693853],"category_scores_gemma":[0.000068959474,0.00030667664,0.0003283327,0.0008868163,0.00015447191,0.00013123875,0.00048164185,0.00054857077,0.000107582295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025684526,0.0005800595,0.010307955,0.00032558772,0.0018112515,0.00035298924,0.00034963482,0.019990494,0.0001102082,0.9542881,0.010853276,0.0007735615],"study_design_scores_gemma":[0.0056293616,0.0012196329,0.034144223,0.0019416136,0.004547043,0.000030233721,0.0015044333,0.07043061,0.0001785485,0.86852074,0.0076860096,0.0041675875],"about_ca_topic_score_codex":0.00007984786,"about_ca_topic_score_gemma":0.00030646208,"teacher_disagreement_score":0.10590498,"about_ca_system_score_codex":0.0002883803,"about_ca_system_score_gemma":0.00010534643,"threshold_uncertainty_score":0.99993855},"labels":[],"label_agreement":null},{"id":"W2548090703","doi":"10.2140/gt.2018.22.3925","title":"Ricci flow from spaces with isolated conical singularities","year":2018,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Gravitational singularity; Orbifold; Ricci flow; Manifold (fluid mechanics); Pure mathematics; Ricci curvature; Conical surface; Cone (formal languages); Flow (mathematics); Mathematical analysis; Metric (unit); Curvature; Geometry","score_opus":0.02208106858901251,"score_gpt":0.2810197468160714,"score_spread":0.2589386782270589,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2548090703","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9518356,0.0008351579,0.040753357,0.0011044133,0.0005949249,0.00016358097,0.00003301316,0.00016907713,0.004510905],"genre_scores_gemma":[0.97265065,0.00002230815,0.024432987,0.00041131722,0.00071209774,0.000011402618,0.00003783948,0.00003168769,0.0016897145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9982429,0.00012016234,0.00036443578,0.00045946977,0.00029511386,0.00051788555],"domain_scores_gemma":[0.9980367,0.00082085,0.00017476242,0.00057789416,0.00025995093,0.00012985452],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002972137,0.00025980096,0.00063861243,0.00041885508,0.00020432955,0.00008861575,0.0003139637,0.0003266765,0.005760265],"category_scores_gemma":[0.00072029623,0.00019300303,0.00012888991,0.0014905129,0.00055441627,0.00010991722,0.000118535194,0.00032268534,0.00028718778],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004141266,0.0048217983,0.24812657,0.0004148445,0.014233649,0.001158129,0.012197528,0.00014256175,0.0041513517,0.3871113,0.24602352,0.07747749],"study_design_scores_gemma":[0.00942486,0.0086826505,0.052359782,0.00032189974,0.004051397,0.0005510555,0.010572533,0.015691258,0.0054821186,0.40974283,0.47862482,0.004494808],"about_ca_topic_score_codex":0.00046693446,"about_ca_topic_score_gemma":0.0006880775,"teacher_disagreement_score":0.23260128,"about_ca_system_score_codex":0.00003960198,"about_ca_system_score_gemma":0.000055031298,"threshold_uncertainty_score":0.9951486},"labels":[],"label_agreement":null},{"id":"W2552837225","doi":"10.1007/s00220-017-2991-x","title":"Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes","year":2017,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Government of Canada; National Science Foundation","keywords":"Hyperplane; Quadric; Action (physics); Affine transformation; Spacetime; Scaling; Space (punctuation); Spectral properties","score_opus":0.16077766789984552,"score_gpt":0.41233804402470137,"score_spread":0.2515603761248558,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2552837225","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9331975,0.00053955603,0.014130044,0.004298059,0.000028185097,0.00053227384,0.000005256117,0.000021715154,0.047247402],"genre_scores_gemma":[0.97498614,0.0002028482,0.024605867,0.000016452705,0.000020467634,0.000025593743,0.000002315194,0.00000951427,0.00013078998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999094,0.00015704351,0.00031978416,0.00011784157,0.00017831734,0.00013301587],"domain_scores_gemma":[0.99663955,0.00096949254,0.00022497,0.0020998067,0.000045098528,0.00002108756],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072261447,0.000110485365,0.00030742295,0.000071759365,0.00021425501,0.00008914369,0.0009711732,0.000060406404,0.0000334666],"category_scores_gemma":[0.00094318506,0.000076944554,0.000078887744,0.00025111611,0.0004733553,0.00019772725,0.00026219685,0.00030086073,0.0000050727494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003838639,0.000764321,0.0048466045,0.00009048299,0.000028782411,5.220732e-7,0.005596568,0.000008782048,0.00010017625,0.9846346,0.00017745054,0.0037478826],"study_design_scores_gemma":[0.00024490524,0.000019461642,0.030491443,0.000109631954,0.00005339489,0.0000025301667,0.0034607942,0.0076943706,0.000118287615,0.9574749,0.00022184002,0.000108469154],"about_ca_topic_score_codex":0.000033766308,"about_ca_topic_score_gemma":0.00014713337,"teacher_disagreement_score":0.04711661,"about_ca_system_score_codex":0.000020808428,"about_ca_system_score_gemma":0.000013841258,"threshold_uncertainty_score":0.3137708},"labels":[],"label_agreement":null},{"id":"W2558367988","doi":"10.1155/2016/4903520","title":"A New Class of Almost Ricci Solitons and Their Physical Interpretation","year":2016,"lang":"en","type":"article","venue":"International Scholarly Research Notices","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Algorithm; Artificial intelligence; Physics; Computer science","score_opus":0.09210908943540165,"score_gpt":0.4085991587788716,"score_spread":0.31649006934346996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2558367988","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9661987,0.00019223256,0.018510325,0.0047926256,0.00014645017,0.00016869105,0.000033419197,0.000026806674,0.009930761],"genre_scores_gemma":[0.9953183,0.00003290709,0.0017070351,0.000022204993,0.00029005963,0.0000100926445,0.0000034582017,0.00001250547,0.0026034445],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99810857,0.00019562381,0.00027108105,0.00026557437,0.0009266776,0.00023247386],"domain_scores_gemma":[0.9961221,0.0024513244,0.00013432304,0.00022753289,0.000924694,0.0001400219],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012992936,0.00011477678,0.0002165114,0.0004405195,0.00007873044,0.00032490812,0.0005012478,0.00007171091,0.00026106308],"category_scores_gemma":[0.0046821036,0.00006442423,0.00010570336,0.000504528,0.000116941694,0.0013990786,0.0002227221,0.00031923785,0.000044988727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005368516,0.0009800931,0.027763538,0.00012349157,0.0015432754,0.000014623953,0.0075524584,0.000015113812,0.08204964,0.3621148,0.017920095,0.49938604],"study_design_scores_gemma":[0.0031551307,0.0008800762,0.0517656,0.0009307836,0.00013931503,0.000018893443,0.0039129704,0.0150030665,0.027872017,0.8462955,0.049320284,0.0007063936],"about_ca_topic_score_codex":0.00012155539,"about_ca_topic_score_gemma":0.00007372263,"teacher_disagreement_score":0.49867964,"about_ca_system_score_codex":0.00007026641,"about_ca_system_score_gemma":0.00008466944,"threshold_uncertainty_score":0.56052536},"labels":[],"label_agreement":null},{"id":"W2558763177","doi":"10.12697/acutm.2016.20.13","title":"On φ-pseudo symmetric LP-Sasakian manifolds with respect to quarter-symmetric non-metric connections","year":2016,"lang":"en","type":"article","venue":"Acta et Commentationes Universitatis Tartuensis de Mathematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Metric connection; Pure mathematics; Connection (principal bundle); Manifold (fluid mechanics); Mathematical analysis; Triple system; Quarter (Canadian coin); Metric (unit); Symmetric closure; Ring of symmetric functions; Fundamental theorem of Riemannian geometry; Ricci curvature; Geometry","score_opus":0.02070694135345473,"score_gpt":0.27451448426666086,"score_spread":0.2538075429132061,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2558763177","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5727975,0.000035079007,0.35263905,0.037788127,0.00021672131,0.0016128054,0.0001430516,0.0003808701,0.034386806],"genre_scores_gemma":[0.93710226,0.000033745317,0.059706196,0.0016187136,0.000042105694,0.00004725617,0.00001876335,0.00007508,0.001355877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99680936,0.00032695875,0.0006339405,0.0006593642,0.00091759535,0.00065277],"domain_scores_gemma":[0.98962444,0.00819871,0.00045344175,0.00091236946,0.0004000078,0.00041102324],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00084433117,0.0005051246,0.00075185334,0.0046483967,0.00042640913,0.00018881458,0.0005370017,0.00015736498,0.0009937225],"category_scores_gemma":[0.0018154047,0.00036418927,0.0002625066,0.007935846,0.00007636533,0.00054090377,0.00012272784,0.00023644266,0.0005021157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032249972,0.0017212355,0.0014622832,0.0002169708,0.001523818,0.00015839866,0.005762983,0.000048120393,0.0013409234,0.7991854,0.18231434,0.0059430483],"study_design_scores_gemma":[0.031186631,0.01670032,0.07763864,0.0038512547,0.009022814,0.0009143091,0.08887709,0.0045711496,0.006991599,0.7230338,0.02814538,0.00906703],"about_ca_topic_score_codex":0.0000751235,"about_ca_topic_score_gemma":0.0001499297,"teacher_disagreement_score":0.36430478,"about_ca_system_score_codex":0.0005958706,"about_ca_system_score_gemma":0.00009710943,"threshold_uncertainty_score":0.99991953},"labels":[],"label_agreement":null},{"id":"W2560312965","doi":"10.18642/jmsaa_7100121451","title":"A RUNGE THEOREM FOR SUBHARMONIC FUNCTIONS ON CLOSED SUBSETS OF RIEMANNIAN MANIFOLDS","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Sciences Advances and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Subharmonic; Mathematics; Pure mathematics; Subharmonic function; Riemannian manifold; Mathematical analysis; Physics; Nonlinear system","score_opus":0.0747460136285562,"score_gpt":0.3550298297207988,"score_spread":0.28028381609224257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2560312965","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2644523,0.0045884894,0.7136465,0.0028692542,0.00015173612,0.0011852492,0.000058707614,0.00003201758,0.013015774],"genre_scores_gemma":[0.9532879,0.00019076199,0.045948572,0.000049888975,0.0001740792,0.00005748227,0.0000011676773,0.00000989055,0.00028028598],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985589,0.000030510493,0.0006164602,0.00015396041,0.00046595404,0.00017422989],"domain_scores_gemma":[0.9978257,0.0009385477,0.00058245414,0.00016594298,0.00031536026,0.00017200223],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016112074,0.00011502578,0.00037825565,0.00017228122,0.00015863936,0.000049608738,0.0002779096,0.000049427214,0.000037897298],"category_scores_gemma":[0.0004472468,0.000070817085,0.00016195192,0.00068464514,0.00023295182,0.00021354426,0.000025967514,0.0001040228,0.0000058404094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035713794,0.00050293683,0.00016317074,0.00016597484,0.000050597977,5.33021e-7,0.00023429985,0.00009756176,0.00010803612,0.9867559,0.0013197315,0.010565514],"study_design_scores_gemma":[0.00045372415,0.00050025305,0.00010999445,0.00006738877,0.00015655329,0.000027794587,0.0017666765,0.00095704285,0.0001781432,0.97630525,0.019373102,0.000104077655],"about_ca_topic_score_codex":5.9825544e-7,"about_ca_topic_score_gemma":0.000003309302,"teacher_disagreement_score":0.68883556,"about_ca_system_score_codex":0.000022036751,"about_ca_system_score_gemma":0.00006364358,"threshold_uncertainty_score":0.2887837},"labels":[],"label_agreement":null},{"id":"W2561867937","doi":"","title":"On `-pseudo symmetric Kenmotsu manifolds with respect to quarter-symmetric metric connection","year":2013,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Manifold (fluid mechanics); Mathematics; Metric (unit); Quarter (Canadian coin); Pure mathematics; Mathematical analysis; Fundamental theorem of Riemannian geometry; Topology (electrical circuits); Geometry; Combinatorics; Ricci curvature","score_opus":0.020455526619187547,"score_gpt":0.2564731306371249,"score_spread":0.23601760401793737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2561867937","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74404913,0.00017416805,0.05313437,0.0012975851,0.0003339205,0.001509452,0.0000059615263,0.00047030498,0.19902508],"genre_scores_gemma":[0.97610265,0.000015038369,0.012176764,0.0007106875,0.00017641933,0.00014088136,0.000007560425,0.00006809148,0.010601916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965119,0.00015141848,0.0006615447,0.0007878139,0.0011873667,0.00069999],"domain_scores_gemma":[0.99604553,0.001791044,0.00026286836,0.00097251293,0.0005185915,0.00040944116],"candidate_categories":["metaepi_narrow","bibliometrics","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00080181897,0.00047708955,0.00074375246,0.007662466,0.0002079919,0.00034920246,0.0004434445,0.00021863557,0.003653836],"category_scores_gemma":[0.0022098133,0.00032119898,0.0002660871,0.028404754,0.000023748118,0.0003174564,0.000074388605,0.00035816192,0.003435796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016553504,0.0017417422,0.0037761813,0.00013309445,0.00089651503,0.00004348228,0.0002777899,0.0001869026,0.00019044225,0.5925181,0.36849153,0.031578686],"study_design_scores_gemma":[0.018605864,0.03795643,0.35762224,0.00069474324,0.0048378953,0.0006405902,0.013289034,0.030465864,0.008870849,0.45871663,0.056259383,0.01204049],"about_ca_topic_score_codex":0.000616073,"about_ca_topic_score_gemma":0.00011821738,"teacher_disagreement_score":0.35384604,"about_ca_system_score_codex":0.00023967958,"about_ca_system_score_gemma":0.00004015003,"threshold_uncertainty_score":0.999924},"labels":[],"label_agreement":null},{"id":"W2564585807","doi":"10.48550/arxiv.1612.02852","title":"Radial solutions of a fourth order Hamiltonian stationary equation","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Lagrangian; Hamiltonian (control theory); Mathematics; Graph; Mathematical analysis; First order; Mathematical physics; Applied mathematics; Combinatorics; Mathematical optimization","score_opus":0.16160683412009785,"score_gpt":0.2217791653229733,"score_spread":0.060172331202875434,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2564585807","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17227389,0.000060603463,0.8224726,0.00012794098,0.00024569803,0.00026944908,0.000123633,0.000064138214,0.0043620816],"genre_scores_gemma":[0.99135107,0.00009171597,0.003986674,0.000013472756,0.00011192614,0.0000014350637,0.00007319769,0.00002291607,0.0043475977],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985999,0.00014603352,0.00032414988,0.00050470134,0.00015643059,0.0002687737],"domain_scores_gemma":[0.9978295,0.00037024278,0.0005235437,0.0006670076,0.00050864456,0.00010103561],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037464884,0.0002372908,0.00042915437,0.0005572748,0.00012545657,0.000020752086,0.00039384342,0.0003085494,0.00056192704],"category_scores_gemma":[0.00039656414,0.00022346465,0.00030481536,0.00096214004,0.00010498204,0.00015500016,0.0003677094,0.00029507102,0.000050437488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011546216,0.00056824577,0.004241872,0.00033593352,0.0012073218,0.000061850296,0.0007541971,0.06118821,0.000120601406,0.9235835,0.006352711,0.0014700642],"study_design_scores_gemma":[0.0010801904,0.000068925416,0.002764748,0.0001999385,0.0009349003,0.00000188044,0.00031617246,0.12978154,0.00003686483,0.86333543,0.0009242133,0.0005551661],"about_ca_topic_score_codex":0.00009150425,"about_ca_topic_score_gemma":0.00012499353,"teacher_disagreement_score":0.8190772,"about_ca_system_score_codex":0.00016812628,"about_ca_system_score_gemma":0.00029016443,"threshold_uncertainty_score":0.9112624},"labels":[],"label_agreement":null},{"id":"W2566704534","doi":"10.1063/1.4972216","title":"A Hamiltonian approach to the cohomogeneity one Ricci soliton equations and explicit examples of non-Kähler solitons","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Ciencia y Tecnología","keywords":"Mathematics; Hamiltonian (control theory); Soliton; Mathematical physics; Ricci curvature; Mathematical analysis; Pure mathematics; Nonlinear system; Physics; Quantum mechanics; Geometry","score_opus":0.08625761773479518,"score_gpt":0.3034040261942364,"score_spread":0.21714640845944122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2566704534","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18311557,0.000060429993,0.81347686,0.0008742241,0.000040380713,0.00023510514,0.000013949984,0.0000078839785,0.0021755802],"genre_scores_gemma":[0.9375146,0.00002348209,0.061794255,0.000069180205,0.00035265382,0.000012624858,5.952862e-7,0.000023867275,0.00020873419],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99785256,0.000100779915,0.0008848997,0.00016757101,0.00072532054,0.00026883997],"domain_scores_gemma":[0.9964029,0.0018732116,0.000641359,0.0004734239,0.00041224435,0.0001968645],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012633953,0.00019693148,0.0007418587,0.00012743866,0.000107901586,0.000046376907,0.00037653913,0.00008587024,0.000041826064],"category_scores_gemma":[0.0014384398,0.00009732534,0.00030227788,0.0005591383,0.00009762676,0.00017123175,0.00012479337,0.00020119602,0.000018193958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006853371,0.0039442508,0.0003822315,0.00058725924,0.0012276191,0.0000029138791,0.0050122966,0.00010276747,0.0151891755,0.9490606,0.006876697,0.017545613],"study_design_scores_gemma":[0.0010259697,0.0003076742,0.0025347227,0.00048212885,0.0009691384,0.000038445065,0.0009669087,0.0029687919,0.0041150004,0.9855292,0.0007113677,0.00035065462],"about_ca_topic_score_codex":0.000003869301,"about_ca_topic_score_gemma":0.000002985092,"teacher_disagreement_score":0.75439906,"about_ca_system_score_codex":0.000041907577,"about_ca_system_score_gemma":0.00006476914,"threshold_uncertainty_score":0.39688122},"labels":[],"label_agreement":null},{"id":"W2571316033","doi":"","title":"On weak symmetries of Kenmotsu Manifolds with respect to quarter-symmetric metric connection","year":2011,"lang":"en","type":"article","venue":"Acta Biologica Plantarum Agriensis (Eszterházy Károly University, Hungary)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Homogeneous space; Mathematics; Connection (principal bundle); Pure mathematics; Metric (unit); Quarter (Canadian coin); Manifold (fluid mechanics); Mathematical analysis; Geometry; Geography","score_opus":0.02987497798154313,"score_gpt":0.21112084540768572,"score_spread":0.1812458674261426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2571316033","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9572377,0.00007011684,0.0017803545,0.0003130637,0.00020963524,0.0005619931,0.00011501021,0.00020755654,0.03950452],"genre_scores_gemma":[0.9930826,0.00012994089,0.0053578727,0.00025060598,0.000055747176,0.0000029616256,0.000067454464,0.000030045981,0.0010227712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9967453,0.00034407308,0.00057052844,0.0009414596,0.0006680962,0.00073057984],"domain_scores_gemma":[0.99624723,0.0015108372,0.0005996475,0.0008535536,0.00045320534,0.0003355203],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007249927,0.00058342103,0.0010907754,0.004115195,0.00033669148,0.000050339368,0.0008744206,0.00040952463,0.00045280706],"category_scores_gemma":[0.0008453775,0.00042545734,0.0003606777,0.008125005,0.00015729996,0.00028953192,0.00027915818,0.00043096478,0.00007908093],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.027671905,0.011163034,0.20132318,0.00070396886,0.010630883,0.0022257117,0.00815437,0.000076903314,0.014074716,0.3942052,0.3191372,0.010632943],"study_design_scores_gemma":[0.011673846,0.055115722,0.7422686,0.00083175953,0.0064422423,0.0006149859,0.03128308,0.0002964404,0.050902583,0.016122807,0.077435665,0.0070122564],"about_ca_topic_score_codex":0.00068712287,"about_ca_topic_score_gemma":0.00038812522,"teacher_disagreement_score":0.5409454,"about_ca_system_score_codex":0.00019500595,"about_ca_system_score_gemma":0.00005870807,"threshold_uncertainty_score":0.9998197},"labels":[],"label_agreement":null},{"id":"W2579832352","doi":"10.1090/proc/14426","title":"Compact manifolds with fixed boundary and large Steklov eigenvalues","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; Center for Northern Studies","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Eigenvalues and eigenvectors; Boundary (topology); Fixed wing; Mathematics; Pure mathematics; Mathematical analysis; Topology (electrical circuits); Physics; Combinatorics","score_opus":0.011358161431048747,"score_gpt":0.24890974359510187,"score_spread":0.23755158216405312,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2579832352","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98829097,0.0004887101,0.00042338797,0.0010642679,0.000049125032,0.00085483,0.000043172084,0.00006339054,0.008722139],"genre_scores_gemma":[0.98263896,0.00014974733,0.013147329,0.00037504247,0.00009545498,0.000010651964,0.0000019702818,0.000089763744,0.0034910915],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964088,0.00003384032,0.000849253,0.0006247844,0.0012842284,0.00079908356],"domain_scores_gemma":[0.9966676,0.0005564433,0.001605051,0.00048041783,0.00044718667,0.00024328208],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011809481,0.0005901459,0.0017690051,0.000077649,0.0003124622,0.0003129467,0.0008079204,0.0001702508,0.00043268627],"category_scores_gemma":[0.00032439656,0.00034708445,0.00085815816,0.001825461,0.0010599081,0.00028867784,0.0004667019,0.000658821,0.00008220523],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006549764,0.0063668336,0.49698776,0.02688883,0.011453678,0.0000043523555,0.039202787,0.000009450982,0.009365424,0.32117406,0.08562397,0.002267886],"study_design_scores_gemma":[0.010667349,0.0065940353,0.21101022,0.009046632,0.015059085,0.0005032556,0.3043941,0.039230913,0.006226348,0.36848748,0.022361336,0.006419257],"about_ca_topic_score_codex":0.000030707277,"about_ca_topic_score_gemma":0.0000015262532,"teacher_disagreement_score":0.28597754,"about_ca_system_score_codex":0.00011039848,"about_ca_system_score_gemma":0.00008773421,"threshold_uncertainty_score":0.99989814},"labels":[],"label_agreement":null},{"id":"W2582082172","doi":"","title":"Some Curvature Properties of CR-Submanifolds of an S-Manifold with a Quarter-Symmetric Non-Metric Connection","year":2017,"lang":"en","type":"article","venue":"International Journal of Applied Mathematics & Statistics/International journal of applied mathematics and statistics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Mathematics; Metric connection; Metric (unit); Curvature; Quarter (Canadian coin); Sectional curvature; Pure mathematics; Manifold (fluid mechanics); Mathematical analysis; Product (mathematics); Scalar curvature; Space (punctuation); Topology (electrical circuits); Geometry; Combinatorics; Fundamental theorem of Riemannian geometry; Computer science","score_opus":0.02009430322865814,"score_gpt":0.27676438303708284,"score_spread":0.2566700798084247,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2582082172","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19368552,0.00031260337,0.8003027,0.00019884236,0.0014232248,0.0006764463,0.0009678392,0.000019378864,0.002413458],"genre_scores_gemma":[0.527726,0.00040500617,0.47121355,0.000030097835,0.00050271093,0.0000070259593,0.000020267245,0.00006646222,0.00002887044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99153274,0.000031038926,0.0039891656,0.00035982986,0.003674979,0.00041222223],"domain_scores_gemma":[0.97895306,0.0013015924,0.012736637,0.0006826102,0.005995894,0.00033020895],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0023159238,0.00066149596,0.0020103292,0.0020621964,0.00020210417,0.0005543678,0.0023990527,0.00027822662,0.00008452531],"category_scores_gemma":[0.0016528433,0.00049766334,0.0003084144,0.0004114828,0.00039212027,0.00067584077,0.00027627058,0.00078747125,0.0000037811055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012838986,0.0034091866,0.00006719444,0.0013126197,0.0050253947,0.00027823192,0.0048320945,0.0004243875,0.007139006,0.963991,0.0018191112,0.01041786],"study_design_scores_gemma":[0.008613005,0.0020043035,0.0007796355,0.0019726634,0.00317313,0.0013928761,0.009626449,0.026496615,0.01457056,0.92993265,0.0003143172,0.0011238062],"about_ca_topic_score_codex":0.000021201087,"about_ca_topic_score_gemma":0.000029382076,"teacher_disagreement_score":0.3340405,"about_ca_system_score_codex":0.00019797368,"about_ca_system_score_gemma":0.00042252918,"threshold_uncertainty_score":0.9997475},"labels":[],"label_agreement":null},{"id":"W2585652959","doi":"10.48550/arxiv.1701.08004","title":"Local isometric immersions of pseudo-spherical surfaces and k-th order\\n evolution equations","year":2017,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Immersion (mathematics); Isometric exercise; Mathematics; Mathematical analysis; Curvature; Partial differential equation; Mean curvature; Minimal surface; Pure mathematics; Geometry","score_opus":0.08516057980016016,"score_gpt":0.22057690150110326,"score_spread":0.1354163217009431,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2585652959","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32662418,0.00091702363,0.66910744,0.000093888084,0.00031120112,0.00044362733,0.00007991764,0.00003840582,0.0023842829],"genre_scores_gemma":[0.989017,0.0023515036,0.0030151377,0.000011137847,0.0000692567,0.0000014489731,0.000051294253,0.000051588104,0.005431634],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9958958,0.00041036308,0.0009337771,0.0016074651,0.00042341705,0.0007291984],"domain_scores_gemma":[0.99254704,0.0015049295,0.0020366234,0.0021004847,0.001318039,0.00049286097],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010524555,0.0007776506,0.0016321328,0.0015662106,0.0010057469,0.0001705111,0.0013542101,0.0010664889,0.0008230871],"category_scores_gemma":[0.0022170513,0.0008362922,0.0007552887,0.005542076,0.0011168716,0.0005569058,0.0016738863,0.0012076541,0.00012397837],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004128367,0.003871827,0.03577091,0.00193389,0.004733048,0.00019383241,0.0012339794,0.42367494,0.00030117546,0.52094173,0.0015270789,0.005404747],"study_design_scores_gemma":[0.0016809562,0.0003266481,0.009892929,0.00038512534,0.004368021,0.000008422202,0.004763172,0.9142535,0.00004806449,0.0626587,0.00041540634,0.0011990826],"about_ca_topic_score_codex":0.0014545324,"about_ca_topic_score_gemma":0.00025500715,"teacher_disagreement_score":0.66609234,"about_ca_system_score_codex":0.0005074029,"about_ca_system_score_gemma":0.0006119845,"threshold_uncertainty_score":0.9994088},"labels":[],"label_agreement":null},{"id":"W2588117975","doi":"10.1063/1.4975139","title":"On the numbers of images of two stochastic gravitational lensing models","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"TD Bank Group","funders":"","keywords":"Gravitational lens; Randomness; Strong gravitational lensing; Lens (geology); Gravitation; Gravitational lensing formalism; Gaussian; Physics; Mathematics; Statistical physics; Applied mathematics; Classical mechanics; Optics; Astrophysics; Quantum mechanics; Statistics","score_opus":0.07836739685417048,"score_gpt":0.3430777412580827,"score_spread":0.2647103444039122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2588117975","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5038349,0.00003128353,0.4917002,0.00041431093,0.000086557615,0.00010708812,0.000008912918,0.0000033509555,0.0038133948],"genre_scores_gemma":[0.9800267,0.0000017490264,0.019759573,0.000023710272,0.00010782991,7.850129e-7,3.1745688e-7,0.000015113192,0.00006417321],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99816126,0.00005948839,0.0007358258,0.00007955966,0.0008316257,0.00013221614],"domain_scores_gemma":[0.9947309,0.0023709242,0.0018205771,0.00045133085,0.0005710653,0.000055213965],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009928625,0.00013492876,0.0005957941,0.00007135803,0.00011980181,0.0000483399,0.00044258256,0.00004131829,0.00005161756],"category_scores_gemma":[0.0025688098,0.00007754394,0.0004084245,0.00013339164,0.00021014598,0.00023758634,0.000055061148,0.00026780565,0.0000051269667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023527737,0.00046339585,0.000013262219,0.00012528819,0.00025931903,0.0000020030902,0.0005873142,0.0035873859,0.00068080163,0.99243927,0.0011062573,0.0007121762],"study_design_scores_gemma":[0.00036923142,0.000079657344,0.000060480124,0.00032256576,0.00026873252,0.000009405853,0.0003262716,0.008930742,0.0010486086,0.98851174,8.395595e-7,0.00007173859],"about_ca_topic_score_codex":0.0000023664884,"about_ca_topic_score_gemma":4.2858164e-7,"teacher_disagreement_score":0.47619185,"about_ca_system_score_codex":0.000020149386,"about_ca_system_score_gemma":0.000052690706,"threshold_uncertainty_score":0.316215},"labels":[],"label_agreement":null},{"id":"W2592154908","doi":"10.4171/jems/221","title":"Continuity, curvature, and the general covariance of optimal transportation","year":2010,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":151,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Sectional curvature; Curvature; Smoothness; Symplectic geometry; Pure mathematics; Riemannian geometry; Covariance; Space (punctuation); Differentiable function; Mathematical analysis; Geometry; Scalar curvature","score_opus":0.014713262534850665,"score_gpt":0.26197636010530284,"score_spread":0.24726309757045217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2592154908","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9517814,0.00018914044,0.041952472,0.0017142545,0.0002651607,0.000206705,0.000008396952,0.000010041037,0.0038724258],"genre_scores_gemma":[0.93265593,0.000030280771,0.066246614,0.0001595802,0.0003168608,6.852613e-7,3.8569559e-7,0.000019988509,0.0005696547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982523,0.00026577956,0.00074730173,0.0000920316,0.0005029725,0.00013963775],"domain_scores_gemma":[0.9978739,0.0006355537,0.0008812611,0.00029434523,0.00024962245,0.00006530926],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0042710695,0.00013224396,0.00044710742,0.000019530615,0.00011223344,0.000055348093,0.0004938219,0.000065593566,0.00006611522],"category_scores_gemma":[0.00094721804,0.000058131518,0.00069962157,0.00029647752,0.00037094447,0.00009714406,0.000052485313,0.00072765973,0.0000024653148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014618228,0.00061162224,0.0014457423,0.00044400175,0.0013254634,0.000010498948,0.01249315,0.00012990861,0.0069683883,0.9458534,0.02782408,0.0027475252],"study_design_scores_gemma":[0.010913603,0.00020776833,0.07800767,0.0005227319,0.0042705215,0.00045086467,0.0024183572,0.009360493,0.00221429,0.8800701,0.01084456,0.0007190243],"about_ca_topic_score_codex":0.0000013601261,"about_ca_topic_score_gemma":0.0000026113826,"teacher_disagreement_score":0.07656193,"about_ca_system_score_codex":0.0000070675264,"about_ca_system_score_gemma":0.000023108863,"threshold_uncertainty_score":0.31613597},"labels":[],"label_agreement":null},{"id":"W2593233659","doi":"10.1051/cocv/2017055","title":"On the minimizing movement with the 1-Wasserstein distance","year":2017,"lang":"en","type":"article","venue":"ESAIM Control Optimisation and Calculus of Variations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Agence Nationale de la Recherche","keywords":"Uniqueness; Mathematics; Quadratic equation; Nonlinear system; Contraction (grammar); Pure mathematics; Class (philosophy); Extension (predicate logic); Stability (learning theory); Applied mathematics; Mathematical analysis; Geometry; Physics; Computer science","score_opus":0.022333868966918805,"score_gpt":0.26173364272203975,"score_spread":0.23939977375512095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593233659","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.044462316,0.00010450901,0.89397186,0.049691875,0.00007745307,0.0006637661,0.000025449102,0.000023606142,0.010979152],"genre_scores_gemma":[0.9972835,0.0000097807115,0.0012306145,0.0005897282,0.000036639103,0.000052840987,0.0000024470553,0.00000780272,0.0007866007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9991778,0.00007179077,0.0002062008,0.00013878007,0.00028865194,0.00011675051],"domain_scores_gemma":[0.998063,0.0007920383,0.00040886045,0.0005568946,0.000144077,0.000035099194],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006393476,0.0001062336,0.0001779452,0.00004208971,0.00080151093,0.00018096397,0.00022857705,0.000038765786,0.000081100865],"category_scores_gemma":[0.0006885868,0.000051220322,0.00007279657,0.00010995305,0.00009324477,0.0001037877,0.000022703583,0.000104395105,0.0000024491019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035111803,0.00007163221,0.00012659744,0.000006199324,0.00017569722,3.5317296e-7,0.00052936835,0.00091563043,0.00007337249,0.99585646,0.0013615937,0.00084798405],"study_design_scores_gemma":[0.009268825,0.000655917,0.053499553,0.00021748278,0.0021517875,0.0000037432822,0.006890063,0.8403146,0.00052121456,0.07502046,0.0105918385,0.0008645072],"about_ca_topic_score_codex":0.000048849946,"about_ca_topic_score_gemma":0.00013966303,"teacher_disagreement_score":0.95282125,"about_ca_system_score_codex":0.00001987003,"about_ca_system_score_gemma":0.000025602954,"threshold_uncertainty_score":0.6164655},"labels":[],"label_agreement":null},{"id":"W2594439691","doi":"","title":"Some Classes of Lorentzian Alpha-Sasakian Manifolds with Respect to Quarter-Symmetric Metric Connection","year":2017,"lang":"en","type":"article","venue":"World Academy of Science, Engineering and Technology, International Journal of Mathematical and Computational Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric connection; Quarter (Canadian coin); Metric (unit); Mathematics; Alpha (finance); Pure mathematics; Mathematical analysis; Physics; Topology (electrical circuits); Geometry; Combinatorics; Fundamental theorem of Riemannian geometry; Statistics; Geography; Engineering","score_opus":0.023473306303293483,"score_gpt":0.30789897295913427,"score_spread":0.2844256666558408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594439691","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98023444,0.00026793225,0.01292755,0.0060122055,0.000112427515,0.00008159753,0.0000035830474,0.000015653995,0.00034462358],"genre_scores_gemma":[0.9491573,0.000026346139,0.050698105,0.00002067407,0.00006254436,0.00000155652,1.024122e-7,0.000003659772,0.000029726343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980739,0.00000936883,0.0005145856,0.00020497991,0.0010273537,0.0001698485],"domain_scores_gemma":[0.9984589,0.000402702,0.00060657586,0.000071530805,0.0003550183,0.00010522937],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014462946,0.0001203124,0.00034039302,0.003789499,0.00022763477,0.00013641364,0.0008340591,0.000054769123,0.000009752217],"category_scores_gemma":[0.001204418,0.00008070346,0.00005175142,0.0022805668,0.0012091848,0.0004970056,0.00014503453,0.0001925221,5.9886776e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013773953,0.00009028842,0.002816424,0.000035016285,0.000085601394,0.0000029664436,0.00009014397,0.0013672702,0.00048240996,0.99164885,0.000065129534,0.0033021376],"study_design_scores_gemma":[0.0009578969,0.00085147086,0.07659983,0.0007524911,0.00013200888,0.00039086756,0.0012156728,0.04074761,0.0044485535,0.87321573,0.0003485755,0.00033926766],"about_ca_topic_score_codex":0.000002905444,"about_ca_topic_score_gemma":0.0000012167078,"teacher_disagreement_score":0.11843308,"about_ca_system_score_codex":0.000028329094,"about_ca_system_score_gemma":0.000058055048,"threshold_uncertainty_score":0.44552916},"labels":[],"label_agreement":null},{"id":"W2595026721","doi":"","title":"Convex Solutions to the Power-of-mean Curvature Flow, Conformally Invariant Inequalities and Regularity Results in Some","year":2014,"lang":"en","type":"dissertation","venue":"TSpace (University of Toronto)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Toronto","keywords":"Invariant (physics); Mathematics; Regular polygon; Curvature; Pure mathematics; Inequality; Mathematical analysis; Geometry; Mathematical physics","score_opus":0.025105816952271154,"score_gpt":0.25804622657428894,"score_spread":0.23294040962201779,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2595026721","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8643545,0.005727499,0.0033172595,0.0059514185,0.00090555917,0.0018468928,0.0007549092,0.00010318062,0.117038816],"genre_scores_gemma":[0.9825728,0.00033897528,0.0030496852,0.000047043777,0.00004383205,8.9096864e-7,0.00029495393,0.000017625734,0.013634178],"study_design_codex":"qualitative","study_design_gemma":"qualitative","domain_scores_codex":[0.998507,0.00016286166,0.00033930215,0.0002974488,0.0004263326,0.00026704685],"domain_scores_gemma":[0.99811316,0.00029814936,0.00059021305,0.0005769075,0.00032020253,0.000101386795],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011533992,0.00024360075,0.0007517706,0.0001913868,0.00017937738,0.00002338536,0.0004612915,0.00041973355,0.0006842863],"category_scores_gemma":[0.00047305637,0.00022482667,0.00018624486,0.00025699433,0.000086077634,0.00031587575,0.00013391758,0.00034255028,0.000004366552],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0020405385,0.00049191026,0.00024325059,0.0019416985,0.0013471994,0.000023764867,0.4850058,0.00014803986,0.00023668964,0.46442756,0.030662317,0.013431242],"study_design_scores_gemma":[0.005204322,0.00096524076,0.3403112,0.0017258038,0.0018893465,0.000006663494,0.607649,0.0035906052,0.00008872607,0.009379314,0.0274192,0.0017705499],"about_ca_topic_score_codex":0.049285963,"about_ca_topic_score_gemma":0.40547034,"teacher_disagreement_score":0.45504823,"about_ca_system_score_codex":0.00011727065,"about_ca_system_score_gemma":0.0001409445,"threshold_uncertainty_score":0.9570449},"labels":[],"label_agreement":null},{"id":"W2595455649","doi":"10.4153/cmb-2017-069-x","title":"On Deformations of Nodal Hypersurfaces","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; NODAL; Infinitesimal; Pure mathematics; Mathematical analysis","score_opus":0.04065696722134801,"score_gpt":0.2898123866514598,"score_spread":0.2491554194301118,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2595455649","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6233765,0.000033711418,0.0023704502,0.00702082,0.00010626886,0.00027511208,0.000053009815,0.000034027922,0.3667301],"genre_scores_gemma":[0.9917362,0.0000025038926,0.0045207865,0.00018105214,0.000033902503,0.000010577706,0.0000036420215,0.000017722412,0.0034936275],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988507,0.000027681883,0.00036509286,0.00015799586,0.00028939458,0.0003091486],"domain_scores_gemma":[0.9980713,0.00041330667,0.0002285884,0.00083702063,0.000109224566,0.00034052125],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00044087024,0.00014824259,0.00036239807,0.00020479978,0.0003707331,0.000112464564,0.0005035738,0.00011452331,0.014119057],"category_scores_gemma":[0.0040155286,0.00011671744,0.00016037277,0.00010464705,0.00013712968,0.000049330647,0.000036377,0.00016040725,0.004237944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000057783136,0.000112341935,0.0001537042,0.0001398267,0.000085477615,0.000012341216,0.00027384225,0.000012483735,0.0000167977,0.93920624,0.0589237,0.001057452],"study_design_scores_gemma":[0.000719548,0.00014021504,0.0016545262,0.00028568943,0.0002190377,0.000020833737,0.00062745967,0.0010137054,0.0003803868,0.9311989,0.063208275,0.0005314371],"about_ca_topic_score_codex":0.0006944551,"about_ca_topic_score_gemma":0.0012640542,"teacher_disagreement_score":0.36835968,"about_ca_system_score_codex":0.000060268172,"about_ca_system_score_gemma":0.00008938829,"threshold_uncertainty_score":0.9965374},"labels":[],"label_agreement":null},{"id":"W2596878891","doi":"10.48550/arxiv.1702.05801","title":"Singularity formation for the two-dimensional harmonic map flow into $S^2$","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Omega; Domain (mathematical analysis); Nabla symbol; Harmonic map; Bounded function; Boundary (topology); Harmonic measure; Singularity; Combinatorics; Flow (mathematics); Space (punctuation); Harmonic function; Physics; Mathematics; Mathematical analysis; Geometry","score_opus":0.1266413036853684,"score_gpt":0.24362934844497428,"score_spread":0.11698804475960586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2596878891","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18590035,0.0005184065,0.8092643,0.00083912595,0.0012206543,0.0011997208,0.000077198885,0.00014469243,0.0008355503],"genre_scores_gemma":[0.98805237,0.000040240913,0.0081449095,0.00007050277,0.000255296,0.000005312264,0.00011357808,0.000028921815,0.003288877],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985274,0.00009308654,0.00028643312,0.00060158287,0.0001706291,0.0003208832],"domain_scores_gemma":[0.9968016,0.0006063641,0.0006201455,0.0014448123,0.00042342942,0.00010363342],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00087015174,0.0003361498,0.00047620916,0.00023580475,0.00085174135,0.00020260252,0.0010593348,0.0003367846,0.00010581932],"category_scores_gemma":[0.00045068536,0.0002736382,0.00063888356,0.00023785098,0.00012355797,0.00027477008,0.00081784185,0.0006329413,0.000057258545],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00050995656,0.00092826615,0.0015079273,0.0022587855,0.0035006993,0.00015964043,0.001653106,0.45886615,0.00010314081,0.45590714,0.065219976,0.009385233],"study_design_scores_gemma":[0.0006121578,0.00002112823,0.00014166534,0.00007885883,0.0008981498,0.000001929896,0.00010076033,0.5285314,0.000055445882,0.46632698,0.0029319914,0.00029952652],"about_ca_topic_score_codex":0.00014739804,"about_ca_topic_score_gemma":0.00029594728,"teacher_disagreement_score":0.80215204,"about_ca_system_score_codex":0.00022783616,"about_ca_system_score_gemma":0.00014317544,"threshold_uncertainty_score":0.99997157},"labels":[],"label_agreement":null},{"id":"W2599438186","doi":"10.4310/cag.2021.v29.n1.a4","title":"Alexandrov spaces with integral current structure","year":2021,"lang":"en","type":"preprint","venue":"Communications in Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Deutscher Akademischer Austauschdienst; National Science Foundation","keywords":"Mathematics; Current (fluid); Curvature; Boundary (topology); Space (punctuation); Hausdorff space; Pure mathematics; Mathematical analysis; Set (abstract data type); Geometry; Physics; Computer science","score_opus":0.05252961117196248,"score_gpt":0.3526579245204505,"score_spread":0.30012831334848805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2599438186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9147671,0.064723834,0.018361391,0.0008618061,0.00009978388,0.00029191637,0.000109167,0.00005451287,0.00073052006],"genre_scores_gemma":[0.95855236,0.010408187,0.02978059,0.00004026029,0.000038593025,0.00004305673,0.0009283986,0.000025729156,0.00018279922],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99751717,0.00034034267,0.00072003267,0.00067749224,0.00044808246,0.00029690078],"domain_scores_gemma":[0.99447745,0.0005383143,0.00052651815,0.003951256,0.00038286982,0.00012361132],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00062350713,0.0004372251,0.0013675536,0.0029247338,0.0001893147,0.0005300016,0.0013218789,0.00034577923,0.0003352996],"category_scores_gemma":[0.0003658035,0.0003357675,0.00047035608,0.008176826,0.00023334482,0.000115319075,0.0021235605,0.0019108119,0.0000013012075],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002758728,0.0014762213,0.89202917,0.0008528155,0.013070971,0.000017594935,0.003096104,0.00196232,0.000014683408,0.011931777,0.0011846515,0.074336134],"study_design_scores_gemma":[0.0030614424,0.00021052826,0.7032843,0.0034422914,0.05845224,0.00005144605,0.028025428,0.08279491,0.00013416407,0.08627302,0.02835485,0.005915334],"about_ca_topic_score_codex":0.00028428013,"about_ca_topic_score_gemma":0.010487444,"teacher_disagreement_score":0.1887448,"about_ca_system_score_codex":0.00009610184,"about_ca_system_score_gemma":0.00012235413,"threshold_uncertainty_score":0.99990946},"labels":[],"label_agreement":null},{"id":"W2604878808","doi":"10.1137/17m1123055","title":"A Canonical Barycenter via Wasserstein Regularization","year":2018,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; University of Alberta; Alfred P. Sloan Foundation","keywords":"Probability measure; Measure (data warehouse); Mathematics; Discrete measure; Wasserstein metric; Metric (unit); Metric space; Space (punctuation); Barycentric coordinate system; Combinatorics; Regularization (linguistics); Embedding; Random measure; Mathematical analysis; Geometry","score_opus":0.0256309280946684,"score_gpt":0.3032629439538074,"score_spread":0.277632015859139,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2604878808","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15222786,0.000055677454,0.83326393,0.0017607558,0.0001431033,0.00016312412,0.000003960648,0.00008270689,0.012298889],"genre_scores_gemma":[0.96693945,0.000014860133,0.027013386,0.00035991485,0.00071043917,0.0000074107347,0.00001095707,0.00004187253,0.0049017062],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964484,0.00028274697,0.0011225959,0.00040907515,0.001212565,0.00052461],"domain_scores_gemma":[0.9974425,0.00043052394,0.0004989448,0.0006862137,0.0005192722,0.00042258122],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016366786,0.0003380018,0.0010064647,0.0011345751,0.0003683476,0.0002722189,0.00047032058,0.00021873762,0.0080011785],"category_scores_gemma":[0.0012347326,0.00022875835,0.0011905277,0.0040242164,0.00014846321,0.0002143644,0.000078375015,0.0005512705,0.0006701126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00061839464,0.0071757706,0.009457316,0.00039267913,0.038238354,0.00049603655,0.0026261285,0.00048680743,0.00153945,0.89320374,0.028488405,0.017276932],"study_design_scores_gemma":[0.0008524242,0.0005613531,0.0007639847,0.000120895165,0.007822514,0.00015838297,0.00025930672,0.058364127,0.00038354352,0.9279877,0.0021273969,0.00059835566],"about_ca_topic_score_codex":0.0000024743038,"about_ca_topic_score_gemma":0.000023164961,"teacher_disagreement_score":0.8147116,"about_ca_system_score_codex":0.00014322269,"about_ca_system_score_gemma":0.00005512305,"threshold_uncertainty_score":0.9929056},"labels":[],"label_agreement":null},{"id":"W2605840845","doi":"","title":"Some Properties of Quarter-Symmetric Non-Metric Connection in a Kahler Manifold","year":2010,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Mathematics; Connection (principal bundle); Quarter (Canadian coin); Metric (unit); Manifold (fluid mechanics); Kähler manifold; Pure mathematics; Mathematical analysis; Combinatorics; Geometry; Topology (electrical circuits); Fundamental theorem of Riemannian geometry; Geography; Economics; Engineering; Scalar curvature","score_opus":0.0252879667223848,"score_gpt":0.24817049051627516,"score_spread":0.22288252379389034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2605840845","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99200034,0.00021257061,0.0008630045,0.000112780086,0.00027996555,0.00023175227,9.950505e-7,0.000038407852,0.006260199],"genre_scores_gemma":[0.996441,0.000018147257,0.0018764286,0.000042534823,0.00012628746,0.000020621454,0.0000014394943,0.000016044476,0.001457515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9986352,0.000032126667,0.00051345676,0.00023432287,0.0003471492,0.00023779798],"domain_scores_gemma":[0.99908316,0.0001722127,0.00017918604,0.0003592113,0.00014839896,0.00005784358],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006289066,0.00015675825,0.0004131768,0.0022512907,0.00003317791,0.00003431701,0.00018749175,0.0001652416,0.0003408653],"category_scores_gemma":[0.0008284612,0.000110303175,0.00014991552,0.0048246332,0.000022600989,0.00022007912,0.000039184786,0.0003007376,0.000056654946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017647198,0.0062195356,0.083845384,0.0015470169,0.0007534802,0.000033289187,0.0027864547,0.000049753195,0.14656623,0.7100441,0.021903086,0.026075207],"study_design_scores_gemma":[0.015094871,0.0027570487,0.3398755,0.000631247,0.0015999303,0.0001531232,0.018002257,0.066873215,0.2764325,0.2637968,0.009822081,0.0049614185],"about_ca_topic_score_codex":0.0002980322,"about_ca_topic_score_gemma":0.00037784578,"teacher_disagreement_score":0.44624728,"about_ca_system_score_codex":0.00002204646,"about_ca_system_score_gemma":0.000028179758,"threshold_uncertainty_score":0.4498033},"labels":[],"label_agreement":null},{"id":"W2607818205","doi":"10.20852/ntmsci.2017.156","title":"Quarter-symmetric metric connection on a Lorentzian alpha-Sasakian manifold","year":2017,"lang":"en","type":"article","venue":"New Trends in Mathematical Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Connection (principal bundle); Metric connection; Alpha (finance); Metric (unit); Mathematics; Manifold (fluid mechanics); Pure mathematics; Physics; Topology (electrical circuits); Mathematical analysis; Combinatorics; Geometry; Fundamental theorem of Riemannian geometry; Statistics; Geography; Engineering","score_opus":0.07613201349247539,"score_gpt":0.3704936658404953,"score_spread":0.2943616523480199,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2607818205","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3999971,0.00011598985,0.028684499,0.0045489813,0.0010355129,0.0005251423,0.00000885138,0.00026909777,0.56481487],"genre_scores_gemma":[0.98574245,0.00000615128,0.0099109765,0.00008666437,0.0001575627,0.000016422951,0.0000015103222,0.000020244941,0.0040580304],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99629664,0.00005620546,0.00064640783,0.0007552696,0.0014934134,0.00075208035],"domain_scores_gemma":[0.9969684,0.00061451126,0.0004284574,0.0014767392,0.00009875937,0.00041315609],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002219137,0.00031543846,0.0005978825,0.0033149295,0.0006271955,0.00069354184,0.001584408,0.00014968,0.001419163],"category_scores_gemma":[0.0056448467,0.00023638399,0.00022830565,0.0069528436,0.0002713377,0.0006189617,0.00019637049,0.00038318845,0.00037024647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018554309,0.0008740436,0.0018740104,0.000051093666,0.00003324556,0.00003574228,0.00044883694,0.000009232065,0.00012932434,0.8333085,0.006504801,0.15671259],"study_design_scores_gemma":[0.0022848519,0.00071790017,0.11460791,0.00029180228,0.00019732979,0.000048169353,0.00062793633,0.018396307,0.0011523839,0.8586791,0.0020522878,0.0009439986],"about_ca_topic_score_codex":0.00011231338,"about_ca_topic_score_gemma":0.00014406489,"teacher_disagreement_score":0.5857454,"about_ca_system_score_codex":0.00023419032,"about_ca_system_score_gemma":0.00007548679,"threshold_uncertainty_score":0.99949366},"labels":[],"label_agreement":null},{"id":"W2609766765","doi":"10.1090/crmp/028/06","title":"The Martin compactification associated with a second order strictly elliptic partial differential operator on a manifold 𝑀","year":2001,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Compactification (mathematics); Semi-elliptic operator; Mathematics; Order (exchange); Elliptic operator; Differential operator; Mathematical analysis; Pure mathematics; Economics","score_opus":0.030259670343417113,"score_gpt":0.24601199387005307,"score_spread":0.21575232352663595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609766765","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1748085,0.0012564377,0.00828796,0.0023896233,0.00071468815,0.0031647508,0.00013674634,0.00067639275,0.8085649],"genre_scores_gemma":[0.9843197,0.000060742084,0.000037599217,0.0002124006,0.0007703984,0.00005992235,0.00010740518,0.00016591002,0.014265926],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970659,0.000019026966,0.00066771836,0.0007435849,0.0009272552,0.0005765224],"domain_scores_gemma":[0.9969115,0.00068405695,0.00096029625,0.000356478,0.00092432316,0.00016332712],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00035254395,0.0007915329,0.000876717,0.00030430497,0.0005812037,0.00071534154,0.00045245443,0.00073843234,0.0023534624],"category_scores_gemma":[0.0012438757,0.00047104768,0.0002789772,0.0005192367,0.0000888202,0.000109011184,0.0000565354,0.0012698843,0.00010769845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005722315,0.00046621534,0.00045868143,0.00020957917,0.003044161,0.000024325593,0.0010992291,0.000026008362,0.0007352041,0.97926444,0.007889953,0.0062099993],"study_design_scores_gemma":[0.0048271767,0.0030515706,0.002003163,0.0025647322,0.00911226,0.000104797895,0.00038444495,0.005988052,0.0056296415,0.6187751,0.3418882,0.005670872],"about_ca_topic_score_codex":0.0000035574099,"about_ca_topic_score_gemma":0.00012109935,"teacher_disagreement_score":0.8095112,"about_ca_system_score_codex":0.00020513331,"about_ca_system_score_gemma":0.000108679866,"threshold_uncertainty_score":0.9997741},"labels":[],"label_agreement":null},{"id":"W2612306274","doi":"10.2140/pjm.2018.295.317","title":"Hamiltonian stationary cones with isotropic links","year":2018,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Submanifold; Mathematics; Isotropy; Sigma; Hamiltonian (control theory); Combinatorics; Betti number; Hamiltonian system; Pure mathematics; Mathematical analysis; Geometry; Physics; Quantum mechanics","score_opus":0.02819721885433317,"score_gpt":0.2792950004278956,"score_spread":0.25109778157356244,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2612306274","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5994839,0.0005518923,0.37599707,0.0010371553,0.00046577558,0.000274819,0.000012747133,0.000057408706,0.022119245],"genre_scores_gemma":[0.7917173,0.000049104692,0.20641904,0.00004181214,0.0003862168,0.0000018011325,0.0000013621536,0.000030833955,0.0013525174],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980876,0.00006019126,0.0007945879,0.00012596334,0.00069182116,0.0002398661],"domain_scores_gemma":[0.9971324,0.00048621642,0.000954612,0.0003414853,0.00095316686,0.00013210569],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086837553,0.00019510844,0.0005384144,0.0003356334,0.000120104785,0.00007609069,0.00027625618,0.00013890259,0.0004502123],"category_scores_gemma":[0.0005062887,0.00012360186,0.00016162306,0.0006071052,0.00015535529,0.00019449709,0.000027368043,0.0004085302,0.00007194232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006517329,0.009668121,0.03176615,0.003271179,0.008449909,0.0009377872,0.0801078,0.00019734488,0.0029950668,0.6137289,0.21705678,0.031169243],"study_design_scores_gemma":[0.0054330826,0.0051734317,0.0038788384,0.0017286589,0.0026960755,0.0035178193,0.06776163,0.0056725675,0.0023514694,0.8393002,0.060844813,0.001641382],"about_ca_topic_score_codex":0.0000010660344,"about_ca_topic_score_gemma":0.0000074018667,"teacher_disagreement_score":0.22557136,"about_ca_system_score_codex":0.00004050783,"about_ca_system_score_gemma":0.00010410676,"threshold_uncertainty_score":0.50403374},"labels":[],"label_agreement":null},{"id":"W2613744879","doi":"10.1051/cocv/2018001","title":"An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems","year":2018,"lang":"en","type":"preprint","venue":"ESAIM Control Optimisation and Calculus of Variations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Fonds De La Recherche Scientifique - FNRS; Agence Nationale de la Recherche","keywords":"Degenerate energy levels; Scalar (mathematics); Constructive; Diffusion; Advection; Reaction–diffusion system; Limit (mathematics); Mathematics; Applied mathematics; Statistical physics; Mathematical optimization; Mathematical analysis; Physics; Computer science; Geometry; Quantum mechanics","score_opus":0.025987675581422797,"score_gpt":0.3031295063268819,"score_spread":0.2771418307454591,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2613744879","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19974904,0.00009844546,0.797437,0.00040465675,0.00037192935,0.0012746959,0.00020260188,0.00010803106,0.0003535806],"genre_scores_gemma":[0.8442679,0.000050551844,0.15338929,0.00006976857,0.0006400147,0.00040883926,0.0007169981,0.000048662387,0.00040796047],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9974751,0.00010730401,0.0010472144,0.00064249465,0.0004205571,0.00030733476],"domain_scores_gemma":[0.9970145,0.00028567802,0.0009952429,0.0005414954,0.000994243,0.00016883558],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001105121,0.0003746767,0.0007714247,0.00038703784,0.00035795214,0.00009650237,0.00021616899,0.0005166994,0.000110545545],"category_scores_gemma":[0.00041858852,0.0003583097,0.0003839938,0.00035426597,0.000071750634,0.00025314267,0.000040020284,0.00034073606,0.0000019519969],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015007205,0.0072669503,0.007978589,0.003857188,0.0070959833,0.0000041449734,0.013780662,0.24092878,0.08064744,0.61265516,0.003117593,0.021166755],"study_design_scores_gemma":[0.002698514,0.00023216322,0.005657174,0.00011061623,0.0009912528,0.0000033253598,0.00019980967,0.98207116,0.00014127875,0.0065243905,0.000912864,0.00045747843],"about_ca_topic_score_codex":0.00020651717,"about_ca_topic_score_gemma":0.00007678307,"teacher_disagreement_score":0.74114233,"about_ca_system_score_codex":0.00009599352,"about_ca_system_score_gemma":0.00018894329,"threshold_uncertainty_score":0.9998869},"labels":[],"label_agreement":null},{"id":"W2613842086","doi":"10.24843/jmat.2016.v06.i02.p69","title":"CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection","year":2016,"lang":"en","type":"article","venue":"Jurnal Matematika","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric connection; Mathematics; Quarter (Canadian coin); Metric (unit); Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Ricci curvature; Curvature","score_opus":0.018416999492728927,"score_gpt":0.24700654417131765,"score_spread":0.22858954467858872,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2613842086","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9534985,0.0005780922,0.036813952,0.000647332,0.00018834401,0.0005827751,0.000029954252,0.00014529987,0.0075157764],"genre_scores_gemma":[0.99641114,0.00007287584,0.0020394952,0.00006573671,0.00013897647,0.000041934323,0.0000028334741,0.00006151917,0.0011654836],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9969035,0.00017400112,0.0010274574,0.00042020547,0.0009780151,0.00049681345],"domain_scores_gemma":[0.9973523,0.00071672193,0.00071957725,0.0006102815,0.00040057613,0.00020055985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009570751,0.0003846969,0.0009955254,0.0018081407,0.000112467176,0.000103656035,0.000360885,0.00021637302,0.0006943539],"category_scores_gemma":[0.00037868548,0.00021468932,0.00036030976,0.0045594196,0.000050756476,0.0004254936,0.000028804481,0.00020594627,0.00010095137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002130179,0.0073655597,0.11189215,0.014113609,0.010797293,0.00061060715,0.008083156,0.00006937746,0.057178915,0.6990715,0.044545904,0.0441417],"study_design_scores_gemma":[0.04545362,0.016974699,0.5349141,0.014763565,0.018362239,0.00486565,0.014162885,0.0041918685,0.079452224,0.22830626,0.026934838,0.011618052],"about_ca_topic_score_codex":0.00008659519,"about_ca_topic_score_gemma":0.000080836246,"teacher_disagreement_score":0.4707653,"about_ca_system_score_codex":0.00010544889,"about_ca_system_score_gemma":0.000062162406,"threshold_uncertainty_score":0.8754777},"labels":[],"label_agreement":null},{"id":"W2616575668","doi":"10.4171/jems/1006","title":"Metric-measure boundary and geodesic flow on Alexandrov spaces","year":2020,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; Simons Foundation; National Science Foundation","keywords":"Mathematics; Geodesic; Measure (data warehouse); Metric (unit); Boundary (topology); Flow (mathematics); Geodesic map; Mathematical analysis; Statement (logic); Pure mathematics; Geodesic flow; Geometry","score_opus":0.040258199199990664,"score_gpt":0.25602134179741687,"score_spread":0.2157631425974262,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2616575668","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69361407,0.004456511,0.16975111,0.04784751,0.00077228,0.00092248386,0.000027649976,0.00018371467,0.08242467],"genre_scores_gemma":[0.9556888,0.000107852815,0.040314436,0.0022160695,0.000869,6.8445064e-7,3.6665156e-7,0.00006592367,0.00073689583],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99768466,0.0004016363,0.0006343689,0.00017444136,0.0008772699,0.00022761257],"domain_scores_gemma":[0.99807775,0.00068128353,0.00055130327,0.0002733055,0.00016503362,0.00025134184],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024784564,0.00021698137,0.0005393273,0.00004533519,0.00020939499,0.00020880667,0.00051418535,0.00006524462,0.00015675841],"category_scores_gemma":[0.0024971084,0.00011464941,0.00080711785,0.00076346926,0.00012291668,0.00012343742,0.00017518825,0.0006940893,0.000054230015],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021046825,0.0018306305,0.0019148561,0.0019701233,0.0043189055,0.00018665193,0.022830142,0.00058587035,0.001391629,0.031927772,0.89468217,0.038150754],"study_design_scores_gemma":[0.014809842,0.0042437264,0.022588944,0.0041958694,0.010386763,0.0017614857,0.019493546,0.058297507,0.0015654371,0.6623464,0.1962169,0.0040935753],"about_ca_topic_score_codex":1.8199174e-7,"about_ca_topic_score_gemma":9.491878e-8,"teacher_disagreement_score":0.6984653,"about_ca_system_score_codex":0.000037751222,"about_ca_system_score_gemma":0.000035396544,"threshold_uncertainty_score":0.46752673},"labels":[],"label_agreement":null},{"id":"W2621771499","doi":"10.4153/cmb-2018-022-9","title":"A Note About the Strong Maximum Principle on RCD Spaces","year":2018,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Maximum principle; Mathematics; Mathematical economics; Law and economics; Economics; Mathematical optimization","score_opus":0.04088381143640463,"score_gpt":0.3035318913966937,"score_spread":0.26264807996028905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2621771499","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22885512,0.0012100057,0.04085732,0.11568804,0.0025463202,0.0064328467,0.00087237434,0.00067358726,0.6028644],"genre_scores_gemma":[0.93679404,0.000054987835,0.021697914,0.0035681613,0.0024563207,0.000528764,0.00012042477,0.00035271086,0.034426656],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9959517,0.00023662898,0.0009041804,0.00087514205,0.0009305548,0.0011017879],"domain_scores_gemma":[0.99490255,0.0012687949,0.00046760193,0.002204369,0.00027925763,0.0008774341],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0017078551,0.0007334873,0.0010943288,0.0004945106,0.00041318388,0.00059083087,0.0014687082,0.0007810957,0.030677361],"category_scores_gemma":[0.0038033067,0.0004866887,0.000625462,0.00046126678,0.00032971898,0.000020241203,0.00048443995,0.0016254942,0.016935227],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002588882,0.0002818808,0.000054075084,0.0011329324,0.00058365637,0.00012867693,0.0013501329,0.00008744557,0.0000025895022,0.40352428,0.5907641,0.0020643442],"study_design_scores_gemma":[0.0002310436,0.000078594414,0.00012630176,0.0007504076,0.0004127836,0.000016978098,0.00022570184,0.0013179284,0.00002395074,0.4548985,0.5411959,0.00072187395],"about_ca_topic_score_codex":0.0011665296,"about_ca_topic_score_gemma":0.0048858407,"teacher_disagreement_score":0.70793897,"about_ca_system_score_codex":0.00049041415,"about_ca_system_score_gemma":0.00061000674,"threshold_uncertainty_score":0.9997585},"labels":[],"label_agreement":null},{"id":"W2623585344","doi":"","title":"Almost pseudo symmetric Sasakian manifold admitting a type of quarter symmetric metric connection","year":2015,"lang":"en","type":"article","venue":"Czech Digital Mathematics Library (Institute of Mathematics CAS)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Mathematics; Connection (principal bundle); Triple system; Manifold (fluid mechanics); Pure mathematics; Quarter (Canadian coin); Type (biology); Metric (unit); Mathematical analysis; Metric connection; Symmetric closure; Ring of symmetric functions; Fundamental theorem of Riemannian geometry; Ricci curvature; Geometry; Geology","score_opus":0.05565256805725246,"score_gpt":0.2760568866592023,"score_spread":0.22040431860194984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2623585344","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80906755,0.0014950843,0.035603896,0.00019215229,0.0012597155,0.0018134454,0.00023426401,0.00057770766,0.14975616],"genre_scores_gemma":[0.8817832,0.0000638627,0.115981445,0.00003479852,0.00018914335,0.000029560144,0.000102344704,0.00017641633,0.0016392492],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9936545,0.000073860676,0.0029716592,0.00069259404,0.001827206,0.00078017905],"domain_scores_gemma":[0.99295616,0.0016851673,0.0023934972,0.0016127942,0.0007765678,0.0005758263],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012743353,0.0008507161,0.0021884493,0.0030237662,0.00012868931,0.0004188152,0.0012142684,0.00048433288,0.00019274221],"category_scores_gemma":[0.008171645,0.0007310023,0.00073153427,0.012320415,0.00020611711,0.003208484,0.0004987532,0.00049772544,0.00016102941],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000085742846,0.0071495324,0.0025088517,0.009510353,0.0017037255,0.0001319428,0.0041368846,0.00013231074,0.00024200731,0.9510766,0.01930987,0.004012171],"study_design_scores_gemma":[0.004658646,0.0022579648,0.0003223246,0.0027695324,0.0025151668,0.00090916443,0.019058675,0.058436282,0.009981758,0.89045733,0.0056567118,0.0029764653],"about_ca_topic_score_codex":0.000010699634,"about_ca_topic_score_gemma":0.000003083431,"teacher_disagreement_score":0.14811692,"about_ca_system_score_codex":0.0001321452,"about_ca_system_score_gemma":0.00036870362,"threshold_uncertainty_score":0.9995141},"labels":[],"label_agreement":null},{"id":"W2626035558","doi":"10.1007/s00526-018-1306-1","title":"Variational convergence of discrete geometrically-incompatible elastic models","year":2018,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Connection (principal bundle); Rigidity (electromagnetism); Limit (mathematics); Manifold (fluid mechanics); Elasticity (physics); Riemannian manifold; Lattice (music); Zero (linguistics)","score_opus":0.05174865853847651,"score_gpt":0.3059753224679031,"score_spread":0.2542266639294266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2626035558","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.029217264,0.00005397053,0.96939963,0.00009202805,0.00022156417,0.00018212167,0.00012750503,0.000020924539,0.0006850077],"genre_scores_gemma":[0.9944969,0.000014799614,0.0050544697,0.000009450474,0.00017154336,0.000023099788,0.00006903456,0.000012225839,0.00014847303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99824136,0.000097043,0.0007561736,0.00024897902,0.0004499386,0.00020651959],"domain_scores_gemma":[0.9976254,0.0008813097,0.00042348713,0.0002934472,0.00065677793,0.00011954525],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00026054253,0.0001582523,0.00041107042,0.00042858394,0.00021464817,0.000036118545,0.0001692095,0.00011124357,0.0011089139],"category_scores_gemma":[0.0011617223,0.00013719714,0.00015829493,0.0013501603,0.00018150815,0.00021769713,0.00008576308,0.000096999465,0.00000963228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019152163,0.000265243,0.00015371108,0.000034171117,0.00018013199,1.2197428e-7,0.00039111628,0.0007282869,0.0010523049,0.9966645,0.0001197587,0.0003914941],"study_design_scores_gemma":[0.00048338203,0.00016379742,0.0035468575,0.000026233056,0.00043866073,6.562762e-7,0.000047555674,0.95742536,0.00073798164,0.03692567,0.000046114306,0.0001577425],"about_ca_topic_score_codex":0.00014206198,"about_ca_topic_score_gemma":0.00004083581,"teacher_disagreement_score":0.96527964,"about_ca_system_score_codex":0.000018819117,"about_ca_system_score_gemma":0.00009519131,"threshold_uncertainty_score":0.9998042},"labels":[],"label_agreement":null},{"id":"W2727121541","doi":"10.5539/jmr.v9n4p1","title":"Solving Liouville-type Problems on Manifolds with Poincaré-Sobolev Inequality by Broadening q-Energy from Finite to Infinite","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"City University of New York","keywords":"Mathematics; Sobolev space; Type (biology); Ricci curvature; Generalization; Sobolev inequality; Pure mathematics; Extension (predicate logic); Mathematical analysis; Curvature; Ricci-flat manifold; Scalar curvature; Geometry","score_opus":0.16300541011840594,"score_gpt":0.4008207787637601,"score_spread":0.23781536864535416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2727121541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9238792,0.0005687077,0.054761395,0.0023473655,0.00027433602,0.00046492525,0.00003889597,0.000041604097,0.017623553],"genre_scores_gemma":[0.96362334,0.00016596532,0.033310957,0.00009434084,0.00037584302,0.000010590864,0.0000055471032,0.000079891164,0.0023335437],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99444634,0.00032172177,0.0012332563,0.00034544864,0.0029671718,0.0006860842],"domain_scores_gemma":[0.9917151,0.0033096517,0.0013681682,0.001353609,0.0018124678,0.0004410009],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.005947152,0.00032848385,0.0009651655,0.0009765778,0.0007025112,0.0009562931,0.0015715556,0.00022481385,0.00034130237],"category_scores_gemma":[0.008799564,0.00022388867,0.00022833943,0.0008896571,0.00011595957,0.0004066456,0.0004209406,0.0011974695,0.00006832723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00348143,0.017187927,0.024544055,0.004950568,0.011265678,0.002401454,0.048049677,0.006782645,0.047032595,0.17376803,0.60894626,0.051589698],"study_design_scores_gemma":[0.0152996285,0.017726716,0.010086726,0.022312611,0.0019196223,0.000489447,0.021600263,0.043611664,0.021180358,0.72831315,0.11227607,0.005183747],"about_ca_topic_score_codex":0.00023290694,"about_ca_topic_score_gemma":0.00014558765,"teacher_disagreement_score":0.5545451,"about_ca_system_score_codex":0.00016120031,"about_ca_system_score_gemma":0.0001951482,"threshold_uncertainty_score":0.99954975},"labels":[],"label_agreement":null},{"id":"W2733945692","doi":"","title":"On the asymptotic behavior of minimal surfaces in H²×R","year":2015,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Combinatorics; Mathematical economics","score_opus":0.03986706746852469,"score_gpt":0.2721978864727217,"score_spread":0.232330819004197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2733945692","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9638127,0.00061365997,0.0024530496,0.0030451447,0.00012245729,0.00051047397,0.0000451049,0.00005189737,0.029345524],"genre_scores_gemma":[0.98673534,0.00008866479,0.008618893,0.000029085575,0.000010246195,0.000074015785,0.00008373214,0.000032230033,0.0043277936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9940501,0.0038192456,0.00070553535,0.00048797307,0.0006708733,0.00026631012],"domain_scores_gemma":[0.9910911,0.004292284,0.00071998156,0.0020987082,0.0016995696,0.000098387936],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0095920265,0.0002886511,0.00056581246,0.0003230469,0.00009558294,0.00014854144,0.0012868743,0.0002907569,0.00027402228],"category_scores_gemma":[0.006720457,0.00021934042,0.00026392992,0.00081018877,0.00017446329,0.000052769126,0.0008024192,0.00073467055,0.000026057252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005587776,0.0065095993,0.026826376,0.0006334251,0.00044218203,0.000019204717,0.026445359,0.00058453187,0.001088286,0.90178514,0.019442827,0.016167209],"study_design_scores_gemma":[0.005096213,0.000011744871,0.1305486,0.016635394,0.0023502915,0.000029245348,0.0060285167,0.07627139,0.064135715,0.6821522,0.01242232,0.0043183416],"about_ca_topic_score_codex":0.0006568429,"about_ca_topic_score_gemma":0.0019398944,"teacher_disagreement_score":0.2196329,"about_ca_system_score_codex":0.000101628466,"about_ca_system_score_gemma":0.00022732146,"threshold_uncertainty_score":0.8944443},"labels":[],"label_agreement":null},{"id":"W2735659650","doi":"10.4134/bkms.b160439","title":"GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION","year":2017,"lang":"en","type":"article","venue":"Bulletin of the Korean Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Metric connection; Metric (unit); Pure mathematics; Manifold (fluid mechanics); Quarter (Canadian coin); Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Ricci curvature","score_opus":0.027637768237018186,"score_gpt":0.2546541025658468,"score_spread":0.22701633432882862,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2735659650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94485533,0.00021910261,0.024595689,0.002717211,0.00016647039,0.0010460188,0.00005030602,0.00011777823,0.026232071],"genre_scores_gemma":[0.96635026,0.000028123352,0.032451585,0.00009179968,0.000091788424,0.000026546408,0.000004720357,0.00005561731,0.00089956896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99703914,0.00016843346,0.0008913419,0.00043318074,0.0010447484,0.00042314993],"domain_scores_gemma":[0.99578726,0.0006778611,0.0012600875,0.0018188267,0.00029093196,0.00016502477],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015986542,0.00037627283,0.00097423134,0.0001875632,0.00049574766,0.0001259509,0.0012592683,0.00028986266,0.00064184656],"category_scores_gemma":[0.0008662341,0.00022442061,0.00092426746,0.0011584178,0.00028917467,0.00008902998,0.00015407112,0.00034873918,0.00002245776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00047751723,0.011950035,0.009667318,0.007105616,0.0059974343,0.000031169446,0.011735479,0.00012837912,0.0021405087,0.8747971,0.06530708,0.010662346],"study_design_scores_gemma":[0.018468186,0.006166089,0.11715574,0.0027640401,0.013688624,0.0004886292,0.019487076,0.024834692,0.031765163,0.7316276,0.028084652,0.0054695],"about_ca_topic_score_codex":0.00013323966,"about_ca_topic_score_gemma":0.000028161965,"teacher_disagreement_score":0.1431695,"about_ca_system_score_codex":0.00005780965,"about_ca_system_score_gemma":0.000044682638,"threshold_uncertainty_score":0.9151607},"labels":[],"label_agreement":null},{"id":"W2743616851","doi":"10.1016/j.aim.2017.08.011","title":"Ancient solutions of the Ricci flow on bundles","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Fano plane; Diffeomorphism; Torus; Ricci flow; Pure mathematics; Context (archaeology); Bundle; Type (biology); Chern class; Canonical bundle; Dimension (graph theory); Geometry; Mathematical analysis; Curvature; Ricci curvature","score_opus":0.04996111398064023,"score_gpt":0.33103060591591443,"score_spread":0.2810694919352742,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2743616851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6279005,0.006231088,0.10796423,0.0020890757,0.0024866762,0.0018334751,0.00009541596,0.00013934472,0.25126022],"genre_scores_gemma":[0.94978356,0.00021497044,0.048874427,0.000041133077,0.000053570308,0.000021642665,8.007122e-7,0.00001731265,0.0009925939],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874246,0.000034693177,0.000415674,0.00016067989,0.0004083041,0.00023821418],"domain_scores_gemma":[0.9976609,0.00043531324,0.0005382987,0.001252505,0.00008149081,0.00003150245],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063712255,0.00013873013,0.00032980737,0.00010240399,0.00031627936,0.00004371713,0.0007407202,0.00006183411,0.000063879845],"category_scores_gemma":[0.002541518,0.000084723564,0.00016428002,0.00029574393,0.0001613342,0.00019879648,0.00017063307,0.00016993177,0.000017025355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009141257,0.0017605603,0.0037993884,0.0005576417,0.000090150694,0.0000037144434,0.0016392118,0.002321547,0.0001362759,0.971762,0.0021767786,0.015743576],"study_design_scores_gemma":[0.00046113593,0.000052045983,0.0056013768,0.0004573642,0.00011481063,0.000004189105,0.0007230927,0.013844529,0.00056013826,0.97132427,0.0066237645,0.00023330476],"about_ca_topic_score_codex":0.000004026893,"about_ca_topic_score_gemma":0.00012462921,"teacher_disagreement_score":0.32188308,"about_ca_system_score_codex":0.00003894506,"about_ca_system_score_gemma":0.000023096185,"threshold_uncertainty_score":0.34549266},"labels":[],"label_agreement":null},{"id":"W2745229912","doi":"","title":"On Quarter Symmetric Metric Connection in Almost Contact Manifold","year":2009,"lang":"en","type":"article","venue":"JOURNAL OF INTERNATIONAL ACADEMY OF PHYSICAL SCIENCES","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric connection; Mathematics; Fundamental theorem of Riemannian geometry; Levi-Civita connection; Manifold (fluid mechanics); Metric (unit); Pure mathematics; Affine connection; Quarter (Canadian coin); Riemannian manifold; Pseudo-Riemannian manifold; Mathematical analysis; Affine transformation; Combinatorics; Geometry; Ricci curvature","score_opus":0.034927340738432025,"score_gpt":0.34974787106395094,"score_spread":0.31482053032551893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2745229912","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98896027,0.00009760517,0.00060311495,0.0035729692,0.00014383461,0.000056403194,0.000002065039,0.000004310499,0.006559452],"genre_scores_gemma":[0.99889994,0.000023977458,0.0004599804,0.00026937018,0.00029350532,4.796002e-7,2.4115243e-7,0.0000024316066,0.00005009595],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978801,0.00005872055,0.0005744421,0.00014555678,0.0011941909,0.00014698677],"domain_scores_gemma":[0.9980301,0.0010280425,0.00070906995,0.000034688765,0.00013547733,0.00006259795],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010838335,0.00010718799,0.00035791157,0.0015915299,0.000038205013,0.000042069314,0.0005011747,0.00006134785,0.00007821221],"category_scores_gemma":[0.001196182,0.00006991932,0.00024978633,0.0026059302,0.000036955822,0.00040704542,0.000015373513,0.00034853962,0.0000071084523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009659568,0.001535195,0.0029392664,0.000009137154,0.00011717757,0.000007206212,0.00021728499,0.00049337937,0.0049907663,0.9780357,0.0031621768,0.008396109],"study_design_scores_gemma":[0.0015735412,0.003476045,0.2449379,0.00028466352,0.000114094924,0.00005215644,0.0006611472,0.015216769,0.006992276,0.72546786,0.000916092,0.00030742807],"about_ca_topic_score_codex":0.0000071555983,"about_ca_topic_score_gemma":8.9067464e-7,"teacher_disagreement_score":0.25256783,"about_ca_system_score_codex":0.00008486419,"about_ca_system_score_gemma":0.000023020246,"threshold_uncertainty_score":0.2851227},"labels":[],"label_agreement":null},{"id":"W2749242172","doi":"","title":"On Submanifolds of Almost r – Contact Structure Manifolds","year":2010,"lang":"en","type":"article","venue":"JOURNAL OF INTERNATIONAL ACADEMY OF PHYSICAL SCIENCES","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Mathematics; Manifold (fluid mechanics); Pure mathematics; Geodesic; Quarter (Canadian coin); Geometry; Physics; Combinatorics; Mathematical analysis","score_opus":0.02592111851466961,"score_gpt":0.3423652005281283,"score_spread":0.3164440820134587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2749242172","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99565583,0.000018340324,0.00010852395,0.0011105349,0.00025096422,0.000036305275,0.000015452066,0.0000025943295,0.0028014767],"genre_scores_gemma":[0.99783194,0.0000067197584,0.001507165,0.000083666426,0.00049041054,2.5583094e-7,3.896295e-7,0.0000043313103,0.00007512265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99784255,0.000028965724,0.00054355594,0.00012515471,0.0013357456,0.00012403316],"domain_scores_gemma":[0.9978938,0.0006644911,0.0010686363,0.000053110467,0.0002464788,0.00007348171],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062950817,0.00011143976,0.0003741187,0.0003062219,0.000042862084,0.000026480058,0.0008445364,0.000089308836,0.00038284448],"category_scores_gemma":[0.0007075487,0.00006786514,0.0002967352,0.00047243803,0.00016564831,0.0002871465,0.0000481269,0.0004837592,0.0000022665317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049778657,0.0004128775,0.002923647,0.000017905188,0.00018382055,0.000002019737,0.0002027589,0.00010933108,0.1772355,0.8152079,0.0020068744,0.0016475775],"study_design_scores_gemma":[0.00089443516,0.0012196031,0.072939575,0.00018775367,0.00017960904,0.00006747701,0.00032839293,0.0024346602,0.1579826,0.76063627,0.0028675254,0.00026207292],"about_ca_topic_score_codex":0.0000072769312,"about_ca_topic_score_gemma":0.00000377557,"teacher_disagreement_score":0.07001593,"about_ca_system_score_codex":0.000016035992,"about_ca_system_score_gemma":0.000040644514,"threshold_uncertainty_score":0.41918787},"labels":[],"label_agreement":null},{"id":"W2749988495","doi":"10.24033/asens.2429","title":"On the uniqueness of minimisers of Ginzburg-Landau functionals","year":2020,"lang":"fr","type":"article","venue":"Annales Scientifiques de l École Normale Supérieure","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Engineering and Physical Sciences Research Council; Agence Nationale de la Recherche","keywords":"Uniqueness; Mathematics; Convexity; Combinatorics; Pure mathematics; Mathematical analysis","score_opus":0.06871790595636619,"score_gpt":0.28264429208430814,"score_spread":0.21392638612794196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2749988495","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9326062,0.0073543503,0.011425265,0.03434032,0.0008285627,0.00074529485,0.00058874517,0.00005918398,0.012052038],"genre_scores_gemma":[0.9688838,0.00047672322,0.0014467335,0.004124284,0.0002632065,0.000029114142,0.00006268593,0.00004658336,0.024666827],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9966086,0.00050507305,0.00090457004,0.00049525953,0.0009388737,0.0005475949],"domain_scores_gemma":[0.99609965,0.0011975222,0.00068361056,0.00068111287,0.0010474864,0.0002906235],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017613156,0.00035798858,0.00071247976,0.00026468548,0.00020240872,0.0001115506,0.0007929713,0.00028936323,0.0030802353],"category_scores_gemma":[0.0015894094,0.00027235012,0.0006214911,0.0026214514,0.00070684514,0.0002825546,0.00017821517,0.0004610536,0.000076187134],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005187115,0.0015971044,0.013376269,0.004003164,0.0011673158,0.00006482404,0.01618444,0.0103468895,0.0055234367,0.22619648,0.71609586,0.004925521],"study_design_scores_gemma":[0.001800345,0.0017808456,0.007797036,0.0026757016,0.0018729434,0.000058307654,0.013319743,0.046671066,0.121681,0.03124976,0.7695185,0.0015747712],"about_ca_topic_score_codex":0.00010444234,"about_ca_topic_score_gemma":0.00009558103,"teacher_disagreement_score":0.19494672,"about_ca_system_score_codex":0.000043696058,"about_ca_system_score_gemma":0.00036021316,"threshold_uncertainty_score":0.9999729},"labels":[],"label_agreement":null},{"id":"W2752506452","doi":"10.48550/arxiv.1709.02527","title":"A note on the almost one half holomorphic pinching","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Sectional curvature; Holomorphic function; Curvature; Mathematics; Quarter (Canadian coin); Pure mathematics; Work (physics); Constant (computer programming); Mathematical analysis; Geometry; Scalar curvature; Physics; Computer science; History; Quantum mechanics","score_opus":0.1939524262086211,"score_gpt":0.23398278805606643,"score_spread":0.04003036184744532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2752506452","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8912303,0.00011951266,0.05778072,0.0019942326,0.0006545086,0.0007535819,0.000055743378,0.000214365,0.047197055],"genre_scores_gemma":[0.9913596,0.00014941407,0.00031657002,0.00017822126,0.00021715193,0.0000016354418,0.00002329773,0.000042295953,0.0077118324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99803245,0.00021568466,0.00025980631,0.00087752606,0.00021975662,0.00039478455],"domain_scores_gemma":[0.99567944,0.0007341913,0.0007149261,0.0025506401,0.00018369974,0.00013710251],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000869999,0.0004251017,0.0006476335,0.00033905572,0.00064001686,0.00022290293,0.0017614935,0.0004707394,0.00035187643],"category_scores_gemma":[0.0010040319,0.00034461453,0.0005432829,0.00046188306,0.0001705245,0.000115138566,0.0011389733,0.001517091,0.0003174193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001375033,0.000846519,0.0016531075,0.000311899,0.0015228054,0.00069138414,0.0007929763,0.015056617,0.00005640556,0.96805954,0.0097320955,0.0011391605],"study_design_scores_gemma":[0.0011590805,0.00015982737,0.0027069536,0.0010271734,0.0024610825,0.000009690608,0.0004899519,0.0650466,0.000157155,0.9148918,0.010274246,0.0016164742],"about_ca_topic_score_codex":0.0002885797,"about_ca_topic_score_gemma":0.00018950597,"teacher_disagreement_score":0.1001293,"about_ca_system_score_codex":0.00017165462,"about_ca_system_score_gemma":0.000119563185,"threshold_uncertainty_score":0.9999006},"labels":[],"label_agreement":null},{"id":"W2758355714","doi":"10.1007/s00029-018-0434-y","title":"A cohomological approach to immersed submanifolds via integrable systems","year":2018,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec à Trois-Rivières","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Integrable system; Soliton; Immersion (mathematics); Generalization; Differential geometry; Lie group; Algebra over a field","score_opus":0.045640451676246155,"score_gpt":0.2914548423038436,"score_spread":0.24581439062759747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2758355714","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09609801,0.00014959578,0.6232293,0.000208915,0.00028836494,0.0013644451,0.0000070862584,0.00040141874,0.27825284],"genre_scores_gemma":[0.9414931,0.0000026479806,0.051738422,0.00015679242,0.00030075162,0.00016426614,0.000008833839,0.000055341392,0.0060798735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972778,0.0001510231,0.00068513193,0.00056946115,0.0006198181,0.0006967886],"domain_scores_gemma":[0.99795157,0.00037737182,0.00020846979,0.0008029615,0.0003826814,0.0002769624],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012446062,0.0003629016,0.0008369915,0.00035545503,0.00020970756,0.0001829876,0.00059796724,0.00023939149,0.00064120436],"category_scores_gemma":[0.0010712262,0.0002569592,0.00021803784,0.00214497,0.000097431446,0.000112902264,0.00012506603,0.00027131804,0.0011813255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009481485,0.002457524,0.0002370759,0.00082237413,0.00085092336,0.000017607006,0.0039964477,0.000010337978,0.0030974129,0.8422004,0.14519198,0.0010230807],"study_design_scores_gemma":[0.003906767,0.004463617,0.00068847655,0.00087910047,0.0028382943,0.0014636037,0.010477637,0.17031808,0.0080620665,0.7308038,0.060502246,0.0055963336],"about_ca_topic_score_codex":0.000042474305,"about_ca_topic_score_gemma":0.0000095601445,"teacher_disagreement_score":0.845395,"about_ca_system_score_codex":0.00009385321,"about_ca_system_score_gemma":0.000047994894,"threshold_uncertainty_score":0.99998826},"labels":[],"label_agreement":null},{"id":"W2759667667","doi":"10.1515/tmj-2017-0041","title":"Some classes of Lorentzian α-Sasakian manifolds with respect to quarter-symmetric metric connection","year":2017,"lang":"en","type":"article","venue":"Tbilisi Mathematical Journal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Connection (principal bundle); Mathematics; Metric connection; Manifold (fluid mechanics); Metric (unit); Pure mathematics; Curvature; Mathematical analysis; Quarter (Canadian coin); Fundamental theorem of Riemannian geometry; Geometry; Ricci curvature","score_opus":0.04317050083859445,"score_gpt":0.31860019251727195,"score_spread":0.2754296916786775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2759667667","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9230737,0.00029646288,0.06101304,0.0019700546,0.00034029433,0.000558595,0.000010847596,0.000079139325,0.012657858],"genre_scores_gemma":[0.9715054,0.000032471762,0.02718884,0.00006448852,0.00053590426,0.00001271078,0.0000011942751,0.000049509254,0.000609451],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964576,0.00015138231,0.0011282885,0.00038559147,0.0013179122,0.00055924704],"domain_scores_gemma":[0.9954869,0.0010984003,0.0011908474,0.0012023317,0.00053710624,0.00048440538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021258176,0.00036449463,0.001060427,0.0016685827,0.00056224375,0.00057939754,0.0009549291,0.00017998717,0.00066603447],"category_scores_gemma":[0.0063034655,0.00023798604,0.00040208033,0.0015826896,0.00013532332,0.0006147366,0.00013612332,0.0005510035,0.00013284582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005932319,0.0038104283,0.010659331,0.0012269741,0.002136317,0.00039519925,0.002273751,0.00008933423,0.0009894929,0.936044,0.02386959,0.017912356],"study_design_scores_gemma":[0.0031498752,0.0029109172,0.024257658,0.0009071726,0.0014800966,0.0013153708,0.003967043,0.0015258712,0.0032560683,0.9548378,0.0012842958,0.0011078609],"about_ca_topic_score_codex":0.000017024246,"about_ca_topic_score_gemma":0.00002683326,"teacher_disagreement_score":0.048431724,"about_ca_system_score_codex":0.0001378337,"about_ca_system_score_gemma":0.00009438418,"threshold_uncertainty_score":0.9704789},"labels":[],"label_agreement":null},{"id":"W2765749019","doi":"10.1073/pnas.1719346115","title":"Geometric hydrodynamics via Madelung transform","year":2018,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; University of Colorado Boulder; Weizmann Institute of Science; Stiftelsen för Strategisk Forskning","keywords":"Metric (unit); Partial differential equation; Symplectomorphism; Phase space; Space (punctuation); Mathematical analysis; Differential geometry; Mathematics; Physics; Classical mechanics; Symplectic geometry; Computer science; Quantum mechanics","score_opus":0.046687838970958476,"score_gpt":0.3207256925758988,"score_spread":0.2740378536049403,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765749019","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9589756,0.00012449606,0.00023336321,0.0023501925,0.000033166994,0.00019616904,0.0000088800725,0.000019803781,0.038058314],"genre_scores_gemma":[0.99382967,0.000016570024,0.005457622,0.000105505824,0.0001257975,0.000003887608,6.588861e-8,0.000004752929,0.0004561263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976421,0.0000037100633,0.00041700088,0.00021215362,0.0015433632,0.00018165556],"domain_scores_gemma":[0.99882257,0.00019150595,0.00044524818,0.000009906363,0.0004946347,0.000036141635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019987638,0.00010230008,0.00021460402,0.00063151633,0.00021469222,0.000025401336,0.0008995195,0.000102252765,0.000062633226],"category_scores_gemma":[0.0010478834,0.00006258892,0.00015192626,0.00532625,0.0007050556,0.00038326663,0.00007897512,0.00015823313,0.0000035194346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047042864,0.0005484282,0.014277294,0.00051797216,0.00031303515,1.392415e-8,0.0012074229,0.00015966447,0.10129093,0.85577995,0.012296918,0.013561348],"study_design_scores_gemma":[0.00027294786,0.0001370185,0.022658924,0.00008225967,0.00011344174,0.000013472306,0.00027695202,0.027571417,0.07513819,0.87255734,0.000965113,0.00021289353],"about_ca_topic_score_codex":0.000004202062,"about_ca_topic_score_gemma":1.8831008e-7,"teacher_disagreement_score":0.037602186,"about_ca_system_score_codex":0.000035137775,"about_ca_system_score_gemma":0.000019251009,"threshold_uncertainty_score":0.25978068},"labels":[],"label_agreement":null},{"id":"W2766045018","doi":"10.22147/jusps-a/291103","title":"Some Curvature Properties of LP-Sasakian Manifold with Respect to Quarter Symmetric Non Metric Connection","year":2017,"lang":"en","type":"article","venue":"Journal of Ultra Scientist of Physical Sciences Section A","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Curvature; Metric connection; Mathematics; Manifold (fluid mechanics); Riemann curvature tensor; Mathematical analysis; Metric (unit); Pure mathematics; Quarter (Canadian coin); Geometry; Topology (electrical circuits); Ricci curvature; Combinatorics; Fundamental theorem of Riemannian geometry; Engineering","score_opus":0.03524106347476506,"score_gpt":0.30000809330139405,"score_spread":0.264767029826629,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766045018","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99501127,0.00010831195,0.0022215077,0.00039301664,0.00072663906,0.00017407064,0.0000038122134,0.000007502014,0.0013538866],"genre_scores_gemma":[0.9978902,0.000008394526,0.0012784494,0.000018359042,0.00055658974,0.0000020833331,1.7385686e-7,0.000007666092,0.00023812939],"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99713385,0.00007575865,0.0005840141,0.00029119212,0.0016473247,0.0002678558],"domain_scores_gemma":[0.9968105,0.00016363486,0.0017318389,0.00033588705,0.000793759,0.00016439319],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017265844,0.00017004501,0.00059591123,0.0015889141,0.0004918432,0.0002853037,0.00074277713,0.00006399437,0.000017894807],"category_scores_gemma":[0.0013291702,0.000099668585,0.00030533853,0.004376902,0.00035387388,0.0011408596,0.000040262836,0.0002705687,0.0000035965645],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008417651,0.0050591426,0.021651393,0.00081164547,0.00088675605,0.000032288546,0.0051425784,0.002703578,0.8870705,0.060123123,0.008636386,0.007040853],"study_design_scores_gemma":[0.0048899446,0.023360394,0.30307922,0.0025215738,0.0016865194,0.00043355857,0.0073043914,0.0073158625,0.61800283,0.027749058,0.002116293,0.0015403648],"about_ca_topic_score_codex":0.000108079075,"about_ca_topic_score_gemma":0.00007877233,"teacher_disagreement_score":0.28142783,"about_ca_system_score_codex":0.00007895216,"about_ca_system_score_gemma":0.000117209616,"threshold_uncertainty_score":0.4064367},"labels":[],"label_agreement":null},{"id":"W2766305235","doi":"10.1353/ajm.2020.0046","title":"Diameter and curvature control under mean curvature flow","year":2020,"lang":"en","type":"preprint","venue":"American Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto; National Science Foundation","keywords":"Mean curvature flow; Curvature; Regular polygon; Mathematics; Mean curvature; Flow (mathematics); Mathematical analysis; Mean flow; Geometry; Physics; Mechanics","score_opus":0.030502106364369855,"score_gpt":0.28622495181964636,"score_spread":0.2557228454552765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766305235","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13375041,0.0056198025,0.8460277,0.011399218,0.0011453638,0.0008950522,0.00022210562,0.00013101763,0.0008093273],"genre_scores_gemma":[0.61601603,0.00053931243,0.38091272,0.001299513,0.0009357464,0.00000957629,0.000010107743,0.00014425883,0.00013270431],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99571544,0.00032303718,0.0017564159,0.0004884651,0.0012441244,0.00047251352],"domain_scores_gemma":[0.99227023,0.0016068191,0.0040767444,0.0008192598,0.0007312384,0.00049569586],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0014960788,0.0007704747,0.0029598447,0.00050063233,0.00009297689,0.00027903813,0.0008994812,0.0004307562,0.00012547417],"category_scores_gemma":[0.0016612842,0.0005613213,0.000970371,0.00085723604,0.0003438253,0.00015559081,0.00040228976,0.0029760897,0.000011859445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015131846,0.01114567,0.006781627,0.023582336,0.094699636,0.0024845353,0.1026572,0.01533875,0.0018189299,0.17925084,0.39289603,0.16783127],"study_design_scores_gemma":[0.0028604364,0.0014046999,0.0008271108,0.0023839634,0.01112457,0.0008112582,0.010390531,0.028010847,0.000068342604,0.9340749,0.0059098266,0.0021335133],"about_ca_topic_score_codex":0.000009252104,"about_ca_topic_score_gemma":0.000011697445,"teacher_disagreement_score":0.75482404,"about_ca_system_score_codex":0.000101174315,"about_ca_system_score_gemma":0.00023031526,"threshold_uncertainty_score":0.9996838},"labels":[],"label_agreement":null},{"id":"W2767439835","doi":"10.1515/acv-2017-0036","title":"On the Wasserstein distance between mutually singular measures","year":2018,"lang":"en","type":"article","venue":"Advances in Calculus of Variations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Combinatorics; Physics; Mathematics","score_opus":0.03347842069438759,"score_gpt":0.32189807981851143,"score_spread":0.2884196591241238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2767439835","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.034731,0.00078693236,0.9416144,0.0012879388,0.00020014137,0.0002736006,0.000027055337,0.000036831716,0.021042138],"genre_scores_gemma":[0.99389887,0.000036169007,0.0056570126,0.00006561251,0.00012727213,0.000015750189,0.000004707347,0.0000110304545,0.0001835828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987569,0.00010339229,0.00038228047,0.00018716844,0.00039086342,0.00017940633],"domain_scores_gemma":[0.9976494,0.0014614603,0.00021548875,0.00043518157,0.0002062132,0.000032270906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006963368,0.000114925,0.00025032976,0.00014067964,0.00014219411,0.000022057831,0.00029558057,0.00006132742,0.00010033006],"category_scores_gemma":[0.002727208,0.00007663326,0.00009660138,0.0010973692,0.00011727843,0.00016586774,0.0000331014,0.00013983696,0.000016536811],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007563208,0.00009781117,0.0011606037,0.0000122130305,0.00005413286,6.2221704e-7,0.0005208377,0.00011130486,0.000040002527,0.9924329,0.0003975326,0.00516447],"study_design_scores_gemma":[0.0007273016,0.00033444448,0.0065626553,0.00022403817,0.00029326885,7.400573e-7,0.0008713222,0.005970192,0.0015201346,0.9250338,0.05802405,0.00043802828],"about_ca_topic_score_codex":0.000020888034,"about_ca_topic_score_gemma":0.00040664728,"teacher_disagreement_score":0.95916784,"about_ca_system_score_codex":0.000047844213,"about_ca_system_score_gemma":0.000033057637,"threshold_uncertainty_score":0.32649195},"labels":[],"label_agreement":null},{"id":"W2771623974","doi":"10.1515/acv-2017-0015","title":"Sharp weighted isoperimetric and Caffarelli–Kohn–Nirenberg inequalities","year":2017,"lang":"en","type":"article","venue":"Advances in Calculus of Variations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Isoperimetric inequality; Mathematics; Nirenberg and Matthaei experiment; Conformal map; Ricci curvature; Mathematical analysis; Dimension (graph theory); Sobolev space; Homogeneous; Curvature; Tensor (intrinsic definition); Pure mathematics; Combinatorics; Geometry","score_opus":0.03778991965773338,"score_gpt":0.3527806392493009,"score_spread":0.31499071959156755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2771623974","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34163362,0.050724346,0.4483162,0.0030100257,0.0016755327,0.0013729759,0.0003790942,0.00021241793,0.15267581],"genre_scores_gemma":[0.98552173,0.0012147824,0.012473754,0.000022288266,0.00006074918,0.00002143998,0.0000097235325,0.000012976201,0.00066255545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988202,0.000051328938,0.00045663197,0.00022818639,0.00025145998,0.00019220165],"domain_scores_gemma":[0.9982983,0.0005224273,0.00040094342,0.00056984,0.00015265869,0.00005584172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041002934,0.00013887013,0.00038391765,0.00040343677,0.00024260943,0.000074927855,0.0003072469,0.00008961666,0.00013381374],"category_scores_gemma":[0.0019858968,0.00011890675,0.00008168345,0.00060550036,0.00010334677,0.0006175386,0.000117869124,0.00012878419,0.000005672075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010168967,0.00021704732,0.0113091925,0.000108097134,0.00008078522,0.000003846993,0.0006816879,0.000044333832,0.000066615765,0.971997,0.00023997296,0.015241254],"study_design_scores_gemma":[0.0047639003,0.00042896558,0.122788735,0.00049412384,0.0008330613,0.000019165276,0.002541317,0.07008491,0.0016109399,0.72335947,0.07132069,0.0017547088],"about_ca_topic_score_codex":0.0002940701,"about_ca_topic_score_gemma":0.00035950472,"teacher_disagreement_score":0.6438881,"about_ca_system_score_codex":0.000030761446,"about_ca_system_score_gemma":0.00003307697,"threshold_uncertainty_score":0.48488766},"labels":[],"label_agreement":null},{"id":"W2772773175","doi":"","title":"CD meets CAT","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Bounded function; Curvature; Space (punctuation); Mathematics; Kappa; Mathematical analysis; Pure mathematics; Combinatorics; Geometry; Computer science","score_opus":0.16619820660981363,"score_gpt":0.2288467084405543,"score_spread":0.06264850183074067,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2772773175","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89960456,0.00025782353,0.0276714,0.00028696246,0.0010656884,0.0004583388,0.00005554216,0.00027948257,0.07032018],"genre_scores_gemma":[0.97218984,0.00025333345,0.00086408126,0.000032875992,0.0001906092,7.7955394e-7,0.00003066028,0.00003572016,0.026402071],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982772,0.00009260402,0.00023538373,0.0008857088,0.00014172605,0.00036740475],"domain_scores_gemma":[0.9967261,0.00017013108,0.000578116,0.002107711,0.00022754053,0.00019040312],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003907765,0.00038535785,0.00067072245,0.00039052317,0.0002848497,0.00015121102,0.0013879295,0.000539806,0.00042189582],"category_scores_gemma":[0.00039025108,0.00039348696,0.00056239194,0.0003572281,0.00011240427,0.00015521448,0.0011818245,0.0005548322,0.00025406876],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000098872675,0.0007695696,0.011674206,0.0008645257,0.0025079716,0.0016697143,0.0006235615,0.01588677,0.00005365115,0.9072994,0.056561545,0.0019902277],"study_design_scores_gemma":[0.0010324591,0.00005731821,0.003050928,0.00030656485,0.0023508503,0.000009048145,0.00034255083,0.038510215,0.000075186595,0.9230703,0.029657954,0.0015366094],"about_ca_topic_score_codex":0.00023394117,"about_ca_topic_score_gemma":0.00027341724,"teacher_disagreement_score":0.07258529,"about_ca_system_score_codex":0.00017528751,"about_ca_system_score_gemma":0.00014339469,"threshold_uncertainty_score":0.9998517},"labels":[],"label_agreement":null},{"id":"W2778269981","doi":"","title":"The missing direction and differential geometry on Heisenberg manifolds","year":2000,"lang":"en","type":"dissertation","venue":"Library and Archives Canada (Government of Canada)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Differential geometry; Differential (mechanical device); Geometry; Mathematics; Physics","score_opus":0.004368922721299454,"score_gpt":0.17169315624372825,"score_spread":0.16732423352242878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2778269981","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6714648,0.0016748308,0.000018186047,0.0012835158,0.0006262922,0.00023735146,0.00010222009,0.000016605292,0.32457617],"genre_scores_gemma":[0.9169232,0.001238701,0.00013333735,0.00015466713,0.00014147509,0.000007998632,0.000057315578,0.00003898529,0.08130432],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.99740285,0.00006874956,0.00036899096,0.00029619667,0.0015989593,0.00026427224],"domain_scores_gemma":[0.9986259,0.0006772859,0.00028900453,0.00023729907,8.6535465e-7,0.00016966523],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000016169659,0.00028908195,0.00038649593,0.00006321905,0.00045806676,0.000092077615,0.00017278439,0.000081577215,0.0000851468],"category_scores_gemma":[0.000013165431,0.00021251148,0.00006377706,0.00016422878,0.000034204786,0.00011807411,0.0000334215,0.00027316963,2.6472178e-9],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0049164155,0.00027842814,0.0051906095,0.0021866362,0.0021275273,0.0001596914,0.0005379523,0.000026778796,0.0058917934,0.32946295,0.02045067,0.6287706],"study_design_scores_gemma":[0.0024818063,0.00063057966,0.46136045,0.0026207608,0.0019986508,0.000041332838,0.02288654,0.0045701326,0.08730406,0.088589266,0.32411727,0.0033991383],"about_ca_topic_score_codex":0.0009924243,"about_ca_topic_score_gemma":0.03595803,"teacher_disagreement_score":0.6253714,"about_ca_system_score_codex":0.000008614189,"about_ca_system_score_gemma":0.00046765176,"threshold_uncertainty_score":0.98163325},"labels":[],"label_agreement":null},{"id":"W2779515341","doi":"10.1515/crelle-2019-0014","title":"Brownian motion on Perelman’s almost Ricci-flat manifold","year":2019,"lang":"de","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Ricci curvature; Mathematics; Ricci flow; Brownian motion; Parallel transport; Riemannian manifold; Laplace operator; Mathematical analysis; Manifold (fluid mechanics); Pure mathematics; Orthonormal basis; Martingale (probability theory); Combinatorics; Curvature; Geometry; Physics","score_opus":0.03511853042744309,"score_gpt":0.3090285644074512,"score_spread":0.2739100339800081,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2779515341","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2898762,0.31390533,0.21239723,0.02613715,0.03631691,0.008151784,0.0008337455,0.0008663118,0.11151536],"genre_scores_gemma":[0.5397248,0.2733753,0.025015296,0.0017124456,0.029721675,0.00008812063,0.0004154063,0.0019706115,0.12797633],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.98201823,0.0015196847,0.0065211128,0.0019537765,0.0052739144,0.002713264],"domain_scores_gemma":[0.9800678,0.0019543513,0.010416017,0.0029820974,0.0024881952,0.002091535],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0080305785,0.0032836618,0.005551655,0.0041628378,0.0025435984,0.005153426,0.0033965877,0.0024476165,0.006543347],"category_scores_gemma":[0.002511569,0.0024863598,0.005614467,0.0018431491,0.00019578778,0.0010506823,0.001319824,0.013091229,0.0062499605],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00355093,0.015691562,0.002730478,0.019572843,0.07020608,0.01831,0.027011072,0.040908456,0.003854088,0.05270609,0.6754378,0.07002058],"study_design_scores_gemma":[0.013495977,0.0044651483,0.00082498224,0.033101473,0.02632891,0.019478532,0.010161621,0.021068469,0.0027554112,0.24737474,0.61162,0.009324732],"about_ca_topic_score_codex":0.000039787607,"about_ca_topic_score_gemma":0.0000495039,"teacher_disagreement_score":0.24984862,"about_ca_system_score_codex":0.0021443074,"about_ca_system_score_gemma":0.0008047499,"threshold_uncertainty_score":0.9988474},"labels":[],"label_agreement":null},{"id":"W2784801609","doi":"10.1007/s00205-019-01472-8","title":"On the Existence of $$C^{1,1}$$-isometric Immersions of Several Classes of Negatively Curved Surfaces into $$\\mathbb {R}^3$$","year":2019,"lang":"en","type":"article","venue":"Archive for Rational Mechanics and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Compact space; Invariant (physics); Hyperbolic space; Euclidean geometry; Metric (unit); Euclidean space; Space (punctuation); Immersion (mathematics)","score_opus":0.03185450599735641,"score_gpt":0.2839994450978915,"score_spread":0.2521449391005351,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2784801609","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7861066,0.00012695088,0.21269767,0.0002362578,0.000027761438,0.00027309594,0.0002573641,0.000003580104,0.00027072115],"genre_scores_gemma":[0.9833711,0.00005896227,0.016307846,0.000023602986,0.00000728849,0.000011416887,0.00006261757,0.000007478009,0.00014970529],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99864626,0.00009472956,0.0005118337,0.00021446204,0.00041572837,0.00011697388],"domain_scores_gemma":[0.9954603,0.0033066864,0.00058819697,0.00025316942,0.0003539154,0.00003775235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006246103,0.00013134327,0.0005642019,0.0007294269,0.00008404753,0.00001182997,0.00020470301,0.000043576503,0.00012038064],"category_scores_gemma":[0.0009105371,0.00008498382,0.0004590454,0.0023833818,0.000042789532,0.00006894586,0.00006047102,0.00008013307,0.0000011192228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050668044,0.00016705105,0.0010786038,0.0001036727,0.0015531661,6.5316556e-8,0.00045536394,0.00175363,0.004251968,0.99032253,0.00010353332,0.00015974027],"study_design_scores_gemma":[0.0003544014,0.0003684231,0.0033939723,0.00004486174,0.0012719336,2.4220932e-7,0.0015174526,0.2522443,0.0027018636,0.7379193,0.000045940444,0.00013735704],"about_ca_topic_score_codex":0.00006063847,"about_ca_topic_score_gemma":0.00006323519,"teacher_disagreement_score":0.2524033,"about_ca_system_score_codex":0.0000093883355,"about_ca_system_score_gemma":0.000048058944,"threshold_uncertainty_score":0.34655395},"labels":[],"label_agreement":null},{"id":"W2786065855","doi":"10.48550/arxiv.1802.04770","title":"Counterexamples to quasiconcavity for the heat equation","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Counterexample; Heat equation; Subharmonic; Construct (python library); Heat flow; Regular polygon; Mathematics; Mechanics; Mathematical analysis; Mathematical economics; Thermodynamics; Physics; Computer science; Geometry; Discrete mathematics; Thermal; Nonlinear system","score_opus":0.26946353823068575,"score_gpt":0.2548495773672747,"score_spread":0.014613960863411046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2786065855","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28954807,0.000050905932,0.70808303,0.00024215408,0.00041096233,0.0007562506,0.00007108619,0.00006907573,0.00076848804],"genre_scores_gemma":[0.995239,0.000043613592,0.0016041265,0.00018808545,0.0003528986,0.000007168696,0.000041077714,0.000027368844,0.0024966653],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861294,0.00008639609,0.00023527995,0.00065508275,0.00012166243,0.00028862862],"domain_scores_gemma":[0.997101,0.0011499604,0.00018295484,0.0010154691,0.00044098555,0.00010959544],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007699469,0.00027426032,0.00040905277,0.00022344328,0.00026163022,0.00011028396,0.00075680943,0.0002668483,0.00018584219],"category_scores_gemma":[0.0005948462,0.00021894305,0.00039246012,0.00064737524,0.00007744701,0.00008505048,0.0004990553,0.0002811369,0.000088627305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00047572862,0.0006621614,0.0059121093,0.00075898744,0.0024093683,0.000026261934,0.0018577301,0.08094121,0.000065363456,0.7959882,0.10803733,0.0028655268],"study_design_scores_gemma":[0.0010322278,0.00024136822,0.0027156523,0.00020006884,0.002501354,0.0000018184055,0.0012735968,0.36482725,0.000151589,0.582028,0.04396531,0.0010617725],"about_ca_topic_score_codex":0.00024215068,"about_ca_topic_score_gemma":0.00038749768,"teacher_disagreement_score":0.7064789,"about_ca_system_score_codex":0.00019075436,"about_ca_system_score_gemma":0.00009226451,"threshold_uncertainty_score":0.8928239},"labels":[],"label_agreement":null},{"id":"W2786946566","doi":"10.1501/commua1_0000000373","title":"Quarter - symmetric metric connection on a Sasakian manifold","year":2000,"lang":"en","type":"article","venue":"Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Quarter (Canadian coin); Mathematics; Fundamental theorem of Riemannian geometry; Metric (unit); Manifold (fluid mechanics); Levi-Civita connection; Pseudo-Riemannian manifold; Ricci curvature; Pure mathematics; Curvature; Topology (electrical circuits); Mathematical analysis; Combinatorics; Geometry; Geography; Engineering","score_opus":0.04325759845569073,"score_gpt":0.2883257734836537,"score_spread":0.24506817502796296,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2786946566","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83912474,0.00039560077,0.10547754,0.0014147429,0.00008524962,0.00080924487,0.0012388915,0.000104359984,0.051349655],"genre_scores_gemma":[0.7286135,0.00070968014,0.2696447,0.000010722524,0.0000033212657,3.8836868e-7,0.000027679938,0.000005862487,0.00098415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872243,0.00005134316,0.00035795438,0.00020143556,0.00048246753,0.00018434957],"domain_scores_gemma":[0.99763626,0.0005569974,0.00034901933,0.0008851854,0.00047372014,0.0000988227],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006370491,0.00014074978,0.0003843029,0.00070189143,0.00061661494,0.000042739728,0.0008576378,0.000063699554,0.0002106877],"category_scores_gemma":[0.00047643326,0.00013566237,0.000072404255,0.0026865166,0.0013360148,0.00029216963,0.00014021728,0.0001383146,0.000009815199],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027053673,0.0005292572,0.00023716968,0.00017516862,0.00008119718,0.0000015562485,0.004754071,0.000027675856,0.000097458535,0.97818315,0.0021715693,0.013714647],"study_design_scores_gemma":[0.0038685,0.0038097221,0.03851464,0.0008895048,0.0018799363,0.00010681764,0.14269878,0.13321911,0.00103326,0.63441414,0.03766032,0.0019052455],"about_ca_topic_score_codex":0.00008486996,"about_ca_topic_score_gemma":0.00006727952,"teacher_disagreement_score":0.343769,"about_ca_system_score_codex":0.00004450294,"about_ca_system_score_gemma":0.00006869425,"threshold_uncertainty_score":0.5532151},"labels":[],"label_agreement":null},{"id":"W2788514991","doi":"10.48550/arxiv.1802.08712","title":"Discrete geometry and isotropic surfaces","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Centre National de la Recherche Scientifique; Agence Nationale de la Recherche; Université du Québec à Montréal","keywords":"Geometry; Isotropy; Mathematics; Physics; Optics","score_opus":0.08013738219706056,"score_gpt":0.21396622467152535,"score_spread":0.1338288424744648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2788514991","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9713826,0.00032625053,0.02394273,0.000053700674,0.0002774711,0.00019260758,0.0000351591,0.00011259352,0.0036768455],"genre_scores_gemma":[0.9912031,0.00046584388,0.0011355378,0.000030419667,0.00015558017,4.5571426e-7,0.00002256707,0.00003122407,0.0069552455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99829894,0.000108293876,0.00024195548,0.0008823255,0.0001248435,0.00034363382],"domain_scores_gemma":[0.9982139,0.00023057869,0.00031985357,0.0008797984,0.00017742338,0.00017844296],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030363,0.00036864978,0.00060488906,0.00048772476,0.00016067814,0.000109508575,0.00053325517,0.00042890603,0.0004429254],"category_scores_gemma":[0.00021319854,0.0003546459,0.00026568066,0.0009598219,0.00020710485,0.00014536556,0.0010819726,0.0005437787,0.00008542864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028729803,0.0008349106,0.33881277,0.0024414656,0.0054645273,0.00086986506,0.0013784377,0.015964225,0.000086916894,0.59058917,0.0416336,0.0016368098],"study_design_scores_gemma":[0.0015005041,0.00024284104,0.034136333,0.00037763905,0.0028377173,0.000011948913,0.0010301984,0.08273033,0.00009500206,0.8666778,0.008266114,0.002093535],"about_ca_topic_score_codex":0.00011441565,"about_ca_topic_score_gemma":0.00008763916,"teacher_disagreement_score":0.30467644,"about_ca_system_score_codex":0.00008330146,"about_ca_system_score_gemma":0.000055918623,"threshold_uncertainty_score":0.99989057},"labels":[],"label_agreement":null},{"id":"W2788564583","doi":"10.48550/arxiv.1802.10070","title":"Variation and rigidity of quasi-local mass","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Rigidity (electromagnetism); Mathematics; Curvature; Pure mathematics; Mathematical analysis; Scalar curvature; Zhàng; Mathematical physics; Geometry; Physics; Quantum mechanics","score_opus":0.09326041427548823,"score_gpt":0.2100225512390112,"score_spread":0.11676213696352297,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2788564583","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.510964,0.00002800408,0.48720685,0.0000136721155,0.0001310589,0.00010942584,0.000019019173,0.00003119288,0.0014967758],"genre_scores_gemma":[0.9965639,0.00009405653,0.00224365,0.000009234448,0.00008785585,2.9988493e-7,0.00001578811,0.000014192905,0.0009710385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988535,0.00011628291,0.00024124069,0.0005142173,0.000106230014,0.0001684974],"domain_scores_gemma":[0.99842566,0.00020282986,0.00042498318,0.0005942755,0.0002629049,0.00008936757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044563902,0.00021156343,0.00047803522,0.00029061045,0.000065797714,0.000024546127,0.0002978436,0.0003755584,0.00016418741],"category_scores_gemma":[0.00017485232,0.00021556737,0.0001938929,0.00055150787,0.00015288318,0.00009118107,0.00034776962,0.00031402594,0.000017774651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023190925,0.0011369402,0.024212828,0.001753958,0.0020644586,0.00011596222,0.0015161282,0.010530677,0.00016276399,0.9531547,0.0037500276,0.0013696366],"study_design_scores_gemma":[0.00057348306,0.00012143192,0.01072783,0.00011310236,0.0010923286,0.0000016970598,0.00029280438,0.17453443,0.00009577794,0.8116219,0.00037422928,0.0004509746],"about_ca_topic_score_codex":0.00020098592,"about_ca_topic_score_gemma":0.000055695047,"teacher_disagreement_score":0.48559988,"about_ca_system_score_codex":0.0000820931,"about_ca_system_score_gemma":0.00006870617,"threshold_uncertainty_score":0.87905824},"labels":[],"label_agreement":null},{"id":"W2790415596","doi":"10.28924/2291-8639-16-2018-193","title":"Some Properties of Special Magnetic Curves","year":2018,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Magnetic field; Mathematics; Euclidean geometry; Euclidean space; Mathematical analysis; Geometry; Physics","score_opus":0.02595419718368471,"score_gpt":0.29509894989050417,"score_spread":0.2691447527068195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2790415596","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9079937,0.015743518,0.066387504,0.004714913,0.00039863994,0.0003182797,0.000049579743,0.000018175295,0.004375692],"genre_scores_gemma":[0.9935257,0.0014979307,0.0019816037,0.00011183592,0.0025247203,0.0000054577185,0.0000030626195,0.0000049125674,0.00034481176],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987883,0.000026057865,0.0005685321,0.00009583776,0.00045325587,0.00006801172],"domain_scores_gemma":[0.99806887,0.00006272247,0.0005273795,0.00013307395,0.0011564977,0.000051450465],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035116373,0.000074930154,0.00030808809,0.00058255333,0.000041830084,0.00003682194,0.00029824695,0.00003096658,0.00032235248],"category_scores_gemma":[0.0001320243,0.000053466592,0.00026226882,0.0007631817,0.00012283695,0.0001385002,0.000042719654,0.000075893564,0.0000046763207],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039906692,0.0046041887,0.06659787,0.0005235276,0.04122353,0.000022601587,0.003105079,0.00014470989,0.030487927,0.58484036,0.058234233,0.2098169],"study_design_scores_gemma":[0.0042121443,0.0016658888,0.118353285,0.0015001817,0.03777557,0.00028242,0.0038663645,0.00395401,0.052871663,0.5106225,0.26317313,0.0017228315],"about_ca_topic_score_codex":0.000012210022,"about_ca_topic_score_gemma":0.000025898122,"teacher_disagreement_score":0.20809408,"about_ca_system_score_codex":0.00001461259,"about_ca_system_score_gemma":0.000030688192,"threshold_uncertainty_score":0.35295334},"labels":[],"label_agreement":null},{"id":"W2791278733","doi":"10.4171/owr/2014/45","title":"Mini-Workshop: Einstein Metrics, Ricci Solitons and Ricci Flow under Symmetry Assumptions","year":2015,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Ricci flow; Einstein; Homogeneous; Mathematics; Rigidity (electromagnetism); Symmetry (geometry); Conjecture; Mathematical physics; Ricci curvature; Pure mathematics; Physics; Geometry; Combinatorics; Quantum mechanics","score_opus":0.08601449032310919,"score_gpt":0.3187298437973857,"score_spread":0.23271535347427652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2791278733","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83113176,0.010500552,0.06804278,0.0031488275,0.0029475566,0.0012326541,0.000053264448,0.0007128411,0.08222976],"genre_scores_gemma":[0.95387435,0.000094669056,0.029704928,0.00019634116,0.00037219678,0.000044325283,0.00007297849,0.000073914656,0.015566325],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962011,0.00015570753,0.0011220434,0.0007998293,0.0010785849,0.0006427355],"domain_scores_gemma":[0.99653345,0.00060346775,0.0006290037,0.0012085555,0.00038112217,0.0006444267],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002015721,0.00044108112,0.0008207747,0.00092120486,0.00024401721,0.00024616416,0.00020853164,0.00039532874,0.00021989825],"category_scores_gemma":[0.0036466974,0.00037228424,0.0003145372,0.0029391393,0.00010194906,0.00033140267,0.00023495941,0.00049881806,0.000067069515],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005418377,0.0033334654,0.10851851,0.00042900673,0.0029047485,0.0027705096,0.002067023,0.0009949054,0.00017793219,0.06917687,0.7676134,0.04195944],"study_design_scores_gemma":[0.003178,0.00043300708,0.040058814,0.00029194736,0.0044457475,0.0044598975,0.0077626663,0.011750437,0.00065160985,0.47374135,0.44920018,0.004026331],"about_ca_topic_score_codex":0.00013805494,"about_ca_topic_score_gemma":0.00017572066,"teacher_disagreement_score":0.4045645,"about_ca_system_score_codex":0.00019042252,"about_ca_system_score_gemma":0.00017159716,"threshold_uncertainty_score":0.9998729},"labels":[],"label_agreement":null},{"id":"W2791694707","doi":"10.14445/22315373/ijmtt-v51p543","title":"Generalized Sasakian-Space-Forms admitting Quarter–Symmetric Metric Connection","year":2017,"lang":"en","type":"article","venue":"International Journal of Mathematics Trends and Technology","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Quarter (Canadian coin); Metric connection; Pure mathematics; Metric (unit); Space (punctuation); Metric space; Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Computer science","score_opus":0.02767654376470353,"score_gpt":0.32258988220811863,"score_spread":0.2949133384434151,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2791694707","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96745807,0.00091333897,0.015971586,0.009058243,0.0008380398,0.00006835462,0.000008539231,0.000061500796,0.005622354],"genre_scores_gemma":[0.9649366,0.00026854358,0.033894353,0.000021493424,0.00021993644,0.0000040122927,0.0000018993114,0.00002030352,0.00063281856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99813527,0.000022725679,0.00084151805,0.00018066374,0.00060069835,0.00021911647],"domain_scores_gemma":[0.99636596,0.000294457,0.0020819423,0.00039987915,0.0007708293,0.000086914406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009199822,0.00020433858,0.0005887131,0.004063467,0.00022183817,0.00029274006,0.00087903964,0.00023378733,0.00013331167],"category_scores_gemma":[0.0032510879,0.00014991319,0.00022569741,0.00092156243,0.00011463941,0.00034199815,0.00017262143,0.00037262597,0.0000062970507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003076927,0.00072330603,0.013367756,0.000058711878,0.0015982216,0.00014455924,0.00028964697,0.000004621257,0.0004985247,0.7786212,0.0028259787,0.20183674],"study_design_scores_gemma":[0.005081348,0.0008484675,0.007659293,0.00034497757,0.0008170449,0.0027295917,0.0025755516,0.005624142,0.0030316124,0.95950145,0.011115858,0.00067069405],"about_ca_topic_score_codex":0.000009912024,"about_ca_topic_score_gemma":0.000019825953,"teacher_disagreement_score":0.20116603,"about_ca_system_score_codex":0.00007051086,"about_ca_system_score_gemma":0.000031928903,"threshold_uncertainty_score":0.61132824},"labels":[],"label_agreement":null},{"id":"W2792238386","doi":"10.4153/s0008439521000485","title":"Existence of hypercylinder expanders of the inverse mean curvature flow","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Prime (order theory); Combinatorics; Inverse; Mean curvature flow; Curvature; Geometry; Mean curvature","score_opus":0.03534918556227518,"score_gpt":0.24872022269971153,"score_spread":0.21337103713743635,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2792238386","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8355432,0.0010176607,0.008282969,0.016974578,0.00048704498,0.00088382297,0.00015773762,0.00006246565,0.13659053],"genre_scores_gemma":[0.9655107,0.000013700643,0.02716219,0.00084284047,0.000057892594,0.0000113704455,0.000007495194,0.000035357596,0.006358399],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824286,0.00013097144,0.0005628949,0.00025289916,0.00046728004,0.00034309004],"domain_scores_gemma":[0.9978694,0.00047453272,0.00019582326,0.00082239957,0.00034131197,0.00029653418],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00047793944,0.00018935338,0.0005430135,0.0001311483,0.00008352898,0.000022111015,0.0004177761,0.0002024974,0.010951794],"category_scores_gemma":[0.0027638406,0.0001314796,0.00035840351,0.00091554545,0.00020469478,0.000024421057,0.0000770558,0.00029754898,0.00020861962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027527181,0.0008843216,0.0018222278,0.002867334,0.0010866325,0.00016666055,0.007894786,0.00011356007,0.0014132024,0.7071877,0.27265164,0.0038843679],"study_design_scores_gemma":[0.0015868737,0.00008649549,0.001310768,0.0012712453,0.001212688,0.00016157089,0.01180166,0.0037601227,0.008872488,0.8815342,0.08731991,0.0010819504],"about_ca_topic_score_codex":0.000289323,"about_ca_topic_score_gemma":0.0072469926,"teacher_disagreement_score":0.18533173,"about_ca_system_score_codex":0.000070742644,"about_ca_system_score_gemma":0.0003976015,"threshold_uncertainty_score":0.9899523},"labels":[],"label_agreement":null},{"id":"W2792355251","doi":"10.30755/nsjom.04279","title":"On a Lorentzian para-Sasakian manifold withrespect to the quarter-symmetric metricconnection","year":2016,"lang":"en","type":"article","venue":"Novi Sad Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Metric connection; Connection (principal bundle); Quarter (Canadian coin); Pure mathematics; Metric (unit); Manifold (fluid mechanics); Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Ricci curvature; Geography; Business","score_opus":0.05035377166357847,"score_gpt":0.3020308789559116,"score_spread":0.2516771072923331,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2792355251","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4763972,0.00038222986,0.5092214,0.007625717,0.0008687184,0.00059927476,0.000015262605,0.000062451145,0.004827817],"genre_scores_gemma":[0.9755695,0.000048557067,0.022865668,0.00029510065,0.00052611035,0.000009742151,3.5261914e-7,0.000049383638,0.00063559547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996615,0.00015311662,0.0012383977,0.00023986987,0.0013330056,0.00042060702],"domain_scores_gemma":[0.99440897,0.002887306,0.0012241778,0.0007195986,0.00050785707,0.00025209325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028102254,0.00033296374,0.0007520604,0.0017502331,0.00016521878,0.00013466312,0.0007288988,0.00013875209,0.00038439405],"category_scores_gemma":[0.0052715745,0.00015384649,0.0005079718,0.0033723817,0.000031028496,0.0002044735,0.000060956045,0.00036022358,0.00035709274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037920725,0.0044585485,0.0012015997,0.0003848547,0.002406115,0.00022366166,0.005226952,0.00009269116,0.0023008515,0.76579416,0.1501312,0.06740015],"study_design_scores_gemma":[0.008059213,0.008397423,0.007137696,0.0028727208,0.003118703,0.0016725179,0.010008465,0.0010257817,0.007910109,0.90982366,0.037819106,0.00215461],"about_ca_topic_score_codex":0.0000065827753,"about_ca_topic_score_gemma":0.000053013235,"teacher_disagreement_score":0.4991723,"about_ca_system_score_codex":0.00020926549,"about_ca_system_score_gemma":0.00006983137,"threshold_uncertainty_score":0.6310948},"labels":[],"label_agreement":null},{"id":"W2795167282","doi":"10.1090/tran/7713","title":"Quasisymmetric uniformization and heat kernel estimates","year":2018,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Heat kernel; Mathematics; Embedding; Gaussian; Combinatorics; Simple (philosophy); Triangulation; Uniformization (probability theory); Dimension (graph theory); Kernel (algebra); Pure mathematics; Mathematical analysis; Geometry; Markov chain; Computer science; Statistics; Physics","score_opus":0.026097882620874133,"score_gpt":0.2977547198789668,"score_spread":0.27165683725809264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2795167282","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22377096,0.00016634312,0.7739288,0.0006595895,0.00010458318,0.0004675563,0.000053987038,0.000087892484,0.0007602409],"genre_scores_gemma":[0.8085959,0.00029110376,0.19046809,0.00009417117,0.00006712651,0.000047968846,0.0000064597302,0.0000504428,0.00037872672],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979235,0.000092486946,0.00070992706,0.0004006817,0.0005821714,0.0002912581],"domain_scores_gemma":[0.997182,0.00096735766,0.00057254883,0.0009290148,0.00023757703,0.00011146406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006168692,0.00036604106,0.0010342796,0.00013473078,0.00024291482,0.00007275559,0.00053244695,0.00020946549,0.00026365303],"category_scores_gemma":[0.00044161367,0.0002413943,0.0009901625,0.0016802215,0.0009880972,0.00007276219,0.00015065516,0.00060128164,0.000012125961],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00095098384,0.038729396,0.030597271,0.092293896,0.07295598,0.000012278661,0.10436393,0.03815087,0.0048689325,0.2816454,0.12347958,0.21195148],"study_design_scores_gemma":[0.00050883007,0.00022259804,0.002859322,0.0006158579,0.004132796,0.000024996778,0.003193325,0.15522215,0.0012282407,0.83099574,0.00014628409,0.00084986415],"about_ca_topic_score_codex":0.00010066161,"about_ca_topic_score_gemma":0.0000056814392,"teacher_disagreement_score":0.584825,"about_ca_system_score_codex":0.000088373046,"about_ca_system_score_gemma":0.00006364788,"threshold_uncertainty_score":0.9843774},"labels":[],"label_agreement":null},{"id":"W2795225257","doi":"10.1137/18m1178037","title":"Optimal Transport with Controlled Dynamics and Free End Times","year":2018,"lang":"en","type":"preprint","venue":"SIAM Journal on Control and Optimization","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Optimal stopping; Duality (order theory); Mathematical optimization; Mathematics; Variational inequality; Optimal control; Pontryagin's minimum principle; Connection (principal bundle); Lagrangian; Free boundary problem; Boundary (topology); Dynamics (music); Applied mathematics; Mathematical analysis; Physics; Combinatorics","score_opus":0.00803738059914035,"score_gpt":0.22821008463182046,"score_spread":0.2201727040326801,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2795225257","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04012343,0.0014302214,0.9533675,0.0015286113,0.00028507476,0.0008023679,0.00010162447,0.000054195618,0.0023070083],"genre_scores_gemma":[0.9028085,0.0014847628,0.09334732,0.00025990896,0.0007244984,0.000037649075,0.000086567285,0.0000778045,0.0011729775],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9978587,0.00014650515,0.00071017875,0.00043178847,0.0005536138,0.00029920685],"domain_scores_gemma":[0.9977207,0.00034164693,0.00085006567,0.00035767842,0.0005004485,0.00022946218],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009446966,0.00046207692,0.0012374413,0.00042371987,0.0002701023,0.00031850065,0.00023283369,0.00039664502,0.00028101733],"category_scores_gemma":[0.00030056853,0.0003047285,0.0002308716,0.00019351013,0.00012749998,0.00015435339,0.000056064422,0.00082918414,0.0000012550228],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0055647795,0.0005259694,0.0026915248,0.00029225703,0.0040683467,0.00014471434,0.0004946274,0.97022367,0.0000043909267,0.010334932,0.0018864174,0.0037683828],"study_design_scores_gemma":[0.016575389,0.00077145675,0.00056692754,0.00031751918,0.002134814,0.00014448175,0.00015549695,0.9728548,0.0000018667968,0.005857008,0.00011944955,0.00050076866],"about_ca_topic_score_codex":0.000006613251,"about_ca_topic_score_gemma":0.00004652884,"teacher_disagreement_score":0.8626851,"about_ca_system_score_codex":0.00006777997,"about_ca_system_score_gemma":0.00012437001,"threshold_uncertainty_score":0.99994045},"labels":[],"label_agreement":null},{"id":"W2798416688","doi":"10.1017/s0956792519000123","title":"Nonlinear systems coupled through multi-marginal transport problems","year":2019,"lang":"en","type":"preprint","venue":"European Journal of Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Uniqueness; Convexity; Nonlinear system; Balanced flow; Simple (philosophy); Dimension (graph theory); Applied mathematics; Mathematics; Mathematical optimization; Flow (mathematics); Dynamical systems theory; Computer science; Mathematical analysis; Physics; Geometry; Economics; Pure mathematics","score_opus":0.061502883052283755,"score_gpt":0.277827207654149,"score_spread":0.21632432460186524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2798416688","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.062764466,0.001470161,0.89190453,0.00008771128,0.0017730566,0.0018225432,0.00007621317,0.00014134162,0.03995995],"genre_scores_gemma":[0.2897452,0.00057632674,0.70622826,0.00007267982,0.0013294036,0.000016845157,0.00006226708,0.00043105506,0.0015379627],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99372494,0.0001685409,0.003446871,0.0005364958,0.0015574574,0.0005656829],"domain_scores_gemma":[0.99220026,0.000406968,0.0050666477,0.0012975417,0.0007927927,0.00023582311],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0049900864,0.00087307196,0.002524897,0.00046916073,0.00010563276,0.00024019508,0.0015787359,0.0002980301,0.00012308144],"category_scores_gemma":[0.00021810082,0.0006671187,0.0009910145,0.0005277279,0.0000999272,0.00013466575,0.00034059546,0.0023045298,0.00022486303],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001134062,0.02851154,0.00040056455,0.12275717,0.028865874,0.0043175365,0.09620269,0.45947537,0.005010031,0.19854194,0.05166109,0.0031221225],"study_design_scores_gemma":[0.031821575,0.002875741,0.0004253106,0.0318277,0.029096927,0.0027088674,0.028220164,0.5319222,0.00090756884,0.13647877,0.19090207,0.012813095],"about_ca_topic_score_codex":0.000004125558,"about_ca_topic_score_gemma":0.0000018332067,"teacher_disagreement_score":0.22698075,"about_ca_system_score_codex":0.00013390779,"about_ca_system_score_gemma":0.00026167525,"threshold_uncertainty_score":0.9999972},"labels":[],"label_agreement":null},{"id":"W2798558691","doi":"10.1007/s10455-018-9644-y","title":"Vanishing geodesic distance for right-invariant Sobolev metrics on diffeomorphism groups","year":2019,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Geodesic; Mathematics; Diffeomorphism; Invariant (physics); Pure mathematics; Conjecture; Sobolev space; Solving the geodesic equations; Dimension (graph theory); Combinatorics; Mathematical analysis; Mathematical physics","score_opus":0.0373566312799446,"score_gpt":0.31005306874315675,"score_spread":0.27269643746321215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2798558691","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9184914,0.0019413488,0.07641842,0.00069224846,0.00013059456,0.00032347962,0.0003413258,0.000038275153,0.0016228504],"genre_scores_gemma":[0.9963436,0.00025843224,0.0021858863,0.00048750127,0.000085901156,0.000012029308,0.00006674019,0.000018395629,0.0005414964],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99710965,0.000083446816,0.00080558826,0.0006761173,0.00078111765,0.00054407155],"domain_scores_gemma":[0.9971137,0.00087060465,0.00063794793,0.00071870105,0.0004444865,0.00021454532],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013457903,0.00037155816,0.0013837245,0.00071699684,0.00015500849,0.00013960221,0.0003988845,0.00021640766,0.0002512642],"category_scores_gemma":[0.00070798444,0.00028372885,0.0010630453,0.00869516,0.0000660044,0.0002141535,0.000105000334,0.0001766277,0.000018107528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026583893,0.0016499208,0.3648228,0.0005779735,0.013275668,0.000017398068,0.000106599575,0.00057015225,0.00013943843,0.59467787,0.011266,0.012630323],"study_design_scores_gemma":[0.0030923288,0.001649036,0.51388437,0.00026279181,0.015458713,0.000010069565,0.00095431524,0.02666255,0.0014590188,0.42245668,0.011800796,0.0023093387],"about_ca_topic_score_codex":0.0001218534,"about_ca_topic_score_gemma":0.00013922619,"teacher_disagreement_score":0.17222121,"about_ca_system_score_codex":0.0000381605,"about_ca_system_score_gemma":0.000027891607,"threshold_uncertainty_score":0.9999615},"labels":[],"label_agreement":null},{"id":"W2799154414","doi":"10.5802/aif.3393","title":"Stratified spaces and synthetic Ricci curvature bounds","year":2021,"lang":"lv","type":"article","venue":"Annales de l’institut Fourier","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Canada Research Chairs; University of Toronto","funders":"Centre National de la Recherche Scientifique; Agence Nationale de la Recherche","keywords":"Mathematics; Ricci curvature; Isoperimetric inequality; Pure mathematics; Scalar curvature; Curvature; Riemann curvature tensor; Mathematical analysis; Divisor (algebraic geometry); Geometry","score_opus":0.025929431471530047,"score_gpt":0.27191285381902613,"score_spread":0.2459834223474961,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2799154414","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8384754,0.08705397,0.005708352,0.009539515,0.0013536303,0.00053819874,0.00020221809,0.00017221205,0.05695652],"genre_scores_gemma":[0.9551943,0.0046041594,0.010534577,0.0010668616,0.0008061095,0.000025547577,0.000089003166,0.000079821606,0.02759962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99632794,0.00027265653,0.0007523224,0.0009225807,0.0007823309,0.0009421825],"domain_scores_gemma":[0.9970612,0.0004650122,0.0003736781,0.0011036366,0.00050617923,0.00049029256],"candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008147545,0.00065803295,0.0010220325,0.00031609324,0.00060554524,0.0011690991,0.00037551133,0.0007077074,0.0014774766],"category_scores_gemma":[0.0016528144,0.00060550595,0.0004786653,0.0016752885,0.0004232647,0.00045080465,0.00024489735,0.00096486293,0.00020261986],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027454735,0.0037174986,0.026068388,0.0044938102,0.008325364,0.006613119,0.01715064,0.00048872136,0.0018157999,0.59405047,0.2670022,0.06999944],"study_design_scores_gemma":[0.001326876,0.00018104425,0.005249734,0.00080511876,0.00299519,0.0006880809,0.004222024,0.00467018,0.0012278369,0.030074816,0.9470498,0.0015092911],"about_ca_topic_score_codex":0.000061427585,"about_ca_topic_score_gemma":0.00073748775,"teacher_disagreement_score":0.68004763,"about_ca_system_score_codex":0.0000886323,"about_ca_system_score_gemma":0.0007147734,"threshold_uncertainty_score":0.9998678},"labels":[],"label_agreement":null},{"id":"W2799987723","doi":"10.1016/j.geomphys.2018.10.007","title":"Minimal hypersurfaces in nearly <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" overflow=\"scroll\" id=\"d1e19\" altimg=\"si17.gif\"><mml:msub><mml:mrow><mml:mo class=\"qopname\">G</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> manifolds","year":2018,"lang":"lv","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Hypersurface; Mathematics; Manifold (fluid mechanics); Scalar curvature; Pure mathematics; Mathematical analysis; Operator (biology); Curvature; Geometry","score_opus":0.01908853194050379,"score_gpt":0.24896480459454984,"score_spread":0.22987627265404606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2799987723","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8667147,0.0028099024,0.0012516278,0.00056693534,0.0021356328,0.000045964603,0.00031184274,0.00007380537,0.12608959],"genre_scores_gemma":[0.9868457,0.0022353148,0.003946908,0.00109051,0.0044145305,0.00011129852,0.00028440927,0.0004840297,0.0005873363],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99056816,0.00043264483,0.0025189882,0.0013532523,0.0030107435,0.0021161903],"domain_scores_gemma":[0.9914384,0.0020003594,0.0034666571,0.001577791,0.00041988405,0.0010968946],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["research_integrity","insufficient_payload"],"category_scores_codex":[0.0029830702,0.0010057031,0.0007382156,0.00079977873,0.0012148143,0.0017023506,0.0018589961,0.0021433302,0.08162811],"category_scores_gemma":[0.0017618228,0.0015464219,0.0021608735,0.0028425285,0.001263377,0.002011862,0.0012724525,0.002469991,0.0011513814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0029344386,0.0015716454,0.00027580134,0.002304833,0.0051185447,0.0018257061,0.0045416416,0.0017192313,0.003978605,0.7558004,0.21268885,0.007240279],"study_design_scores_gemma":[0.0054619242,0.0067408974,0.0014301795,0.0031561109,0.006238694,0.0025715188,0.007550981,0.24525213,0.7021824,0.0009084822,0.015299534,0.0032071415],"about_ca_topic_score_codex":0.0006489278,"about_ca_topic_score_gemma":0.00058462005,"teacher_disagreement_score":0.75489193,"about_ca_system_score_codex":0.000029800887,"about_ca_system_score_gemma":0.0011259991,"threshold_uncertainty_score":0.9998314},"labels":[],"label_agreement":null},{"id":"W2800640466","doi":"10.4171/jems/787","title":"Characterizations of the Ricci flow","year":2018,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Ricci flow; Pure mathematics; Flow (mathematics); Ricci curvature; Geometry","score_opus":0.028852129783235255,"score_gpt":0.2653820358060066,"score_spread":0.23652990602277135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2800640466","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7710599,0.00012924612,0.15317616,0.0068525537,0.001391492,0.00047376959,0.000021667662,0.000040016876,0.066855244],"genre_scores_gemma":[0.96924603,0.00001479708,0.02680476,0.00036749383,0.0008813943,5.0645383e-7,2.2543189e-7,0.00003461338,0.002650179],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980306,0.00036158186,0.00076168095,0.000083424355,0.000602379,0.00016032983],"domain_scores_gemma":[0.99774086,0.00030954188,0.0009641617,0.0005152657,0.00040568187,0.00006447331],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021046388,0.00012536814,0.00033476786,0.000025605816,0.00021283726,0.00004287821,0.00088711653,0.000045632663,0.00033810694],"category_scores_gemma":[0.0017165808,0.00005393463,0.0010436464,0.00077316083,0.00023808255,0.00008767981,0.00025036695,0.00033352542,0.000038964765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068766545,0.00520592,0.0061589763,0.0014758537,0.0051840716,0.000013400607,0.043178543,0.00013756567,0.03612213,0.19150086,0.69463456,0.016319335],"study_design_scores_gemma":[0.0033946552,0.00057591265,0.109765016,0.0024425448,0.00464802,0.00059041294,0.0042618117,0.017460678,0.010409378,0.78179234,0.06350792,0.0011513135],"about_ca_topic_score_codex":1.924804e-7,"about_ca_topic_score_gemma":2.782762e-7,"teacher_disagreement_score":0.63112664,"about_ca_system_score_codex":0.000029409295,"about_ca_system_score_gemma":0.000037051777,"threshold_uncertainty_score":0.3702034},"labels":[],"label_agreement":null},{"id":"W2801773091","doi":"10.1007/s10955-018-2041-x","title":"The Effective Dynamics of the Volume Preserving Mean Curvature Flow","year":2018,"lang":"en","type":"article","venue":"Journal of Statistical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Mean curvature flow; Scalar curvature; Euclidean space; Dynamics (music); Curvature; Riemannian manifold; Euclidean geometry; Flow (mathematics); Constant (computer programming); Manifold (fluid mechanics); Space (punctuation); Mean curvature; Mathematical analysis; Pure mathematics; Geometry; Physics; Computer science","score_opus":0.011701258717115309,"score_gpt":0.2818967703909671,"score_spread":0.2701955116738518,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2801773091","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03764039,0.00021642307,0.95719385,0.0010765396,0.00088101457,0.00029402782,0.0001157546,0.000009584931,0.0025724035],"genre_scores_gemma":[0.9804045,0.000014288259,0.018302904,0.000053783628,0.0008134402,0.000001883473,0.0000019143238,0.000021358092,0.0003859462],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99820566,0.00021385077,0.0005345004,0.00010287872,0.00072735315,0.00021578133],"domain_scores_gemma":[0.99584997,0.0020460093,0.0007035409,0.00036715483,0.00095619954,0.00007711085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008715472,0.00014246447,0.00038935948,0.000032094475,0.00023239772,0.00006198489,0.00056259177,0.00007483518,0.000055357374],"category_scores_gemma":[0.0025863103,0.00006787319,0.00025095599,0.00063527474,0.00031889766,0.00011790776,0.00013197854,0.0005593659,0.000005617325],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002205492,0.00057895714,0.003606293,0.00021444175,0.0014567066,0.000011967717,0.0017127277,0.0002887609,0.00018574741,0.7802725,0.112708375,0.098743014],"study_design_scores_gemma":[0.00041126783,0.00036523494,0.011420565,0.0001258314,0.0006319481,0.000014268588,0.00035511432,0.08655259,0.00020952545,0.8970519,0.0027156302,0.00014615554],"about_ca_topic_score_codex":0.000008189202,"about_ca_topic_score_gemma":0.0000635677,"teacher_disagreement_score":0.9427641,"about_ca_system_score_codex":0.00007539615,"about_ca_system_score_gemma":0.0000677577,"threshold_uncertainty_score":0.3096242},"labels":[],"label_agreement":null},{"id":"W2803072305","doi":"","title":"On the Geometry of Hemi-slant Submanifolds of LP-Cosymplectic Manifold","year":2018,"lang":"en","type":"article","venue":"Asian journal of mathematics and applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Horizon College and Seminary","funders":"","keywords":"Manifold (fluid mechanics); Geometry; Mathematics; Pure mathematics; Mathematical analysis; Engineering","score_opus":0.025487165800868575,"score_gpt":0.27742937680047985,"score_spread":0.2519422109996113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2803072305","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83744574,0.00039316554,0.14314355,0.0015899921,0.00006366879,0.0005528804,0.00003056057,0.000012633374,0.016767785],"genre_scores_gemma":[0.98876846,0.00004991866,0.01088525,0.000033790333,0.00012439907,0.000009706396,7.612669e-7,0.000015798136,0.000111895206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853206,0.000027189431,0.0008282651,0.00008919211,0.0003866581,0.00013666414],"domain_scores_gemma":[0.99728304,0.0006570383,0.0011522525,0.00041773825,0.0004177734,0.00007214269],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009769984,0.00013143088,0.00043921266,0.0002660514,0.000098961216,0.000024274876,0.00033722015,0.00006626246,0.00016880484],"category_scores_gemma":[0.0003815858,0.00007908988,0.00018353297,0.0007761174,0.00010662363,0.0000445702,0.000040448438,0.00016322329,0.0000073372116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000068829636,0.00054487697,0.00015697887,0.00020061487,0.00024836394,8.5743795e-7,0.0009995498,9.9094e-7,0.0012022133,0.9922602,0.0025349245,0.0018435292],"study_design_scores_gemma":[0.0004960335,0.00058128574,0.0008472909,0.0003273288,0.0006885774,0.00017270698,0.006905425,0.00036901492,0.0077318824,0.979213,0.002456707,0.00021075371],"about_ca_topic_score_codex":0.0000018343318,"about_ca_topic_score_gemma":0.0000046118635,"teacher_disagreement_score":0.15132272,"about_ca_system_score_codex":0.00001301443,"about_ca_system_score_gemma":0.00003654904,"threshold_uncertainty_score":0.32251918},"labels":[],"label_agreement":null},{"id":"W2806200308","doi":"10.1139/cjp-2018-0017","title":"Geometrization of heat conduction in perturbative space–times","year":2018,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Research Foundation","keywords":"Physics; Thermal conduction; Symmetry (geometry); Space (punctuation); Metric (unit); Connection (principal bundle); Space time; Heat equation; Mathematical physics; Classical mechanics; Spacetime; Theoretical physics; Quantum mechanics; Geometry","score_opus":0.034607187178442175,"score_gpt":0.2690035414137621,"score_spread":0.2343963542353199,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2806200308","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9719207,0.00036030836,0.023388335,0.00039434066,0.00044018778,0.00009536263,0.000012621623,0.0000029811215,0.0033851105],"genre_scores_gemma":[0.99787205,0.000008488472,0.0014424772,0.000030764262,0.0003946687,3.6509866e-7,0.0000023676962,0.0000097484535,0.00023904839],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992063,0.000047097317,0.00034107247,0.00007194282,0.00018181911,0.00015178316],"domain_scores_gemma":[0.99873453,0.00010488663,0.0002556005,0.000113807786,0.00063598977,0.00015516445],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003218203,0.00008374438,0.0002892631,0.0005960592,0.000043643115,0.00001985101,0.000114222385,0.000059356043,0.0002286262],"category_scores_gemma":[0.0006232693,0.00007165652,0.00010483814,0.0016611852,0.000089988,0.00021373724,0.0000046217715,0.00014782007,0.0000049612036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016133864,0.0008592535,0.12471016,0.00043110747,0.0018149879,0.00014079356,0.039592337,0.0036625415,0.014000145,0.6444246,0.10802476,0.062177956],"study_design_scores_gemma":[0.0050429744,0.0029737859,0.050688308,0.0011668439,0.0011441415,0.0001483752,0.014352917,0.009343047,0.06764845,0.8192807,0.026756886,0.0014535807],"about_ca_topic_score_codex":0.0011957356,"about_ca_topic_score_gemma":0.004698655,"teacher_disagreement_score":0.17485607,"about_ca_system_score_codex":0.000120079756,"about_ca_system_score_gemma":0.00039205785,"threshold_uncertainty_score":0.2922068},"labels":[],"label_agreement":null},{"id":"W2806276500","doi":"10.1007/s00205-020-01569-5","title":"Optimal Transportation Between Unequal Dimensions","year":2020,"lang":"en","type":"preprint","venue":"Archive for Rational Mechanics and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Toronto","funders":"","keywords":"Smoothness; Ode; Mathematics; Operator (biology); Ordinary differential equation; Monge–Ampère equation; Mathematical analysis; Logarithm; Partial differential equation; Elliptic operator; Differential equation; Applied mathematics","score_opus":0.05645086333518427,"score_gpt":0.30759243613315107,"score_spread":0.2511415727979668,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2806276500","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.038378056,0.00011395953,0.956043,0.0010375716,0.000057987963,0.00036751048,0.003935158,0.000038493992,0.000028245748],"genre_scores_gemma":[0.8424409,0.0000608613,0.14440641,0.000076826225,0.00024061934,0.00010598262,0.012573782,0.000028606153,0.0000660183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980385,0.00006628969,0.00062784995,0.0006380436,0.00042151817,0.00020782415],"domain_scores_gemma":[0.99829555,0.00066026073,0.00040341693,0.00026095356,0.00020445106,0.0001753638],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00034720256,0.0003029667,0.00087045005,0.0005374097,0.00022014244,0.000099422854,0.0001908771,0.00018337305,0.000055560464],"category_scores_gemma":[0.00024331818,0.00027506106,0.0009298969,0.0007779605,0.000015235707,0.000057255536,0.00008972579,0.00034726327,0.0000024721564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003667992,0.00009111115,0.0005262132,0.00018454315,0.008877104,0.0000030497422,0.00075186713,0.017489053,0.00016314907,0.9701197,0.0010949956,0.0006625215],"study_design_scores_gemma":[0.0002150556,0.00006793778,0.0007912955,0.000018990086,0.010760478,1.0016649e-7,0.00014807183,0.3043716,0.00003342668,0.68280756,0.0005003691,0.0002851322],"about_ca_topic_score_codex":0.00002919205,"about_ca_topic_score_gemma":0.00017300739,"teacher_disagreement_score":0.8116366,"about_ca_system_score_codex":0.000020492305,"about_ca_system_score_gemma":0.000088983965,"threshold_uncertainty_score":0.99997014},"labels":[],"label_agreement":null},{"id":"W2807849832","doi":"10.1088/1751-8121/aac971","title":"Structural equations of supermanifolds immersed in the superspace <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mstyle> <mml:msup> <mml:mrow> <mml:mi>M</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>|</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:msup> <mml:mo>(</mml:mo> <mml:mi>c</mml:mi> <mml:mo>)</mml:mo> </mml:mstyle> </mml:math> with a prescribed curvature","year":2018,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec à Trois-Rivières","funders":"","keywords":"Mathematics; Mathematical analysis; Superspace; Hyperbolic space; Manifold (fluid mechanics); Pure mathematics; Supermanifold; Immersion (mathematics); Euclidean space; Gauss; Euclidean geometry; Curvature; Surface (topology); Mathematical physics; Physics; Geometry; Supersymmetry; Quantum mechanics","score_opus":0.018274621142290504,"score_gpt":0.24806593142473243,"score_spread":0.22979131028244193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2807849832","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8370164,0.002186257,0.007340237,0.0027932609,0.002811175,0.00031987333,0.001199061,0.00054053566,0.14579318],"genre_scores_gemma":[0.9781599,0.0012184648,0.008485839,0.002186081,0.004993931,0.0016016692,0.001289246,0.0017187116,0.00034614015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.97532046,0.0017914068,0.0056815557,0.0038765518,0.007776118,0.005553934],"domain_scores_gemma":[0.97951245,0.006797912,0.005241638,0.0041783634,0.0012486132,0.0030210295],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.006529451,0.0028024858,0.0017351706,0.0016538871,0.0034134148,0.0035853027,0.005751814,0.0051886896,0.07923208],"category_scores_gemma":[0.0065479623,0.003971088,0.005290672,0.004376881,0.006752467,0.003511683,0.0037074594,0.0060566226,0.0018775818],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0032490566,0.0016271438,0.000026353859,0.0024890127,0.004979602,0.0016207922,0.006755675,0.0008409496,0.0038333016,0.85623336,0.116477944,0.0018668078],"study_design_scores_gemma":[0.008561285,0.0077773836,0.00012742425,0.004767782,0.010940494,0.008145085,0.014253829,0.10618313,0.7675612,0.061154164,0.0044038487,0.006124358],"about_ca_topic_score_codex":0.0011028753,"about_ca_topic_score_gemma":0.00088353845,"teacher_disagreement_score":0.7950792,"about_ca_system_score_codex":0.00009345765,"about_ca_system_score_gemma":0.0027665384,"threshold_uncertainty_score":0.99962753},"labels":[],"label_agreement":null},{"id":"W2883926370","doi":"10.4153/cmb-2018-032-6","title":"Generating Curves of Minimal Ruled Real Hypersurfaces in a Nonflat Complex Space Form","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Hypersurface; Mathematics; Complex space; Space form; Characterization (materials science); Space (punctuation); Pure mathematics; Mathematical analysis; Homogeneous; Mean curvature; Constant (computer programming); Curvature; Vector field; Hyperbolic space; Geometry; Combinatorics","score_opus":0.04413966412740887,"score_gpt":0.28403247051738645,"score_spread":0.23989280638997756,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2883926370","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94122946,0.0001864624,0.0009575761,0.0044432133,0.000047804322,0.00039800786,0.00003127748,0.000034775763,0.052671436],"genre_scores_gemma":[0.9556835,0.000026900898,0.04147214,0.00038729588,0.00013117994,0.000020373325,0.000013104432,0.000037830454,0.0022276535],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997949,0.00008368003,0.00072682375,0.0003042128,0.00036810891,0.00056816085],"domain_scores_gemma":[0.9982907,0.0005145121,0.00020140805,0.0004206019,0.00019605953,0.00037667478],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000890421,0.00024176239,0.0007056246,0.00035436262,0.000097521406,0.000041676136,0.00031809253,0.00015469624,0.0133903455],"category_scores_gemma":[0.0016281619,0.00020781612,0.00015773551,0.00069526077,0.00020243511,0.000040082843,0.000049711136,0.0001902892,0.0009241575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000938119,0.00105377,0.004212952,0.0044859513,0.00052298635,0.00019125451,0.007674012,0.000020493966,0.004751359,0.42283854,0.551821,0.0023338976],"study_design_scores_gemma":[0.012981723,0.0028388398,0.01776638,0.011378844,0.002179209,0.00037450666,0.021141287,0.12305699,0.0064214184,0.56677,0.22720948,0.007881327],"about_ca_topic_score_codex":0.004032099,"about_ca_topic_score_gemma":0.025119014,"teacher_disagreement_score":0.3246115,"about_ca_system_score_codex":0.00011458565,"about_ca_system_score_gemma":0.000178449,"threshold_uncertainty_score":0.99985373},"labels":[],"label_agreement":null},{"id":"W2884203330","doi":"10.1142/s0219199718500499","title":"Nonexistence of noncompact Type-I ancient three-dimensional κ-solutions of Ricci flow with positive curvature","year":2018,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McMaster University","keywords":"Mathematics; Ricci flow; Type (biology); Pure mathematics; Curvature; Mean curvature flow; Ricci curvature; Flow (mathematics); Scalar curvature; Mathematical analysis; Geometry; Geology","score_opus":0.17442689101168105,"score_gpt":0.35650073419670697,"score_spread":0.18207384318502592,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2884203330","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69302523,0.013419142,0.14528482,0.002336262,0.0003823461,0.0032945452,0.00052306894,0.0002187027,0.14151588],"genre_scores_gemma":[0.7646404,0.000016070233,0.23513566,0.000029439298,0.000015946589,0.000013889774,0.000037254227,0.000018992268,0.000092356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9980979,0.0001445647,0.00089398026,0.0002059688,0.0004414946,0.00021611109],"domain_scores_gemma":[0.9947197,0.0012614226,0.00073380186,0.0022005183,0.0010167728,0.00006782908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001038274,0.00021327173,0.00064784323,0.00036628122,0.00015328226,0.000015734524,0.0009707621,0.00012670987,0.000058454985],"category_scores_gemma":[0.00063111854,0.00016546875,0.00012487888,0.002154083,0.00066445663,0.00016752574,0.0003449683,0.00031706426,0.000012438931],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00054940034,0.019061083,0.034515604,0.001697076,0.002442743,0.00002196599,0.022401527,0.00062967016,0.004273612,0.8797215,0.03208186,0.002603927],"study_design_scores_gemma":[0.0072077597,0.0042547546,0.03936511,0.00974442,0.0015880351,0.00018815298,0.009606535,0.5798174,0.00532832,0.33438846,0.005616314,0.002894745],"about_ca_topic_score_codex":0.00007233474,"about_ca_topic_score_gemma":0.0004945914,"teacher_disagreement_score":0.5791877,"about_ca_system_score_codex":0.00005957252,"about_ca_system_score_gemma":0.0002904672,"threshold_uncertainty_score":0.67476195},"labels":[],"label_agreement":null},{"id":"W2884257857","doi":"10.4310/jdg/1612975017","title":"A new construction of compact torsion-free $G_2$-manifolds by gluing families of Eguchi–Hanson spaces","year":2021,"lang":"en","type":"article","venue":"Journal of Differential Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission; Simons Foundation","keywords":"Orbifold; Holonomy; Mathematics; Submanifold; Torsion (gastropod); Pure mathematics; Subgroup; Gravitational singularity; Mathematical analysis; Normal subgroup; Group (periodic table)","score_opus":0.014051477344225,"score_gpt":0.2586756551466342,"score_spread":0.24462417780240922,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2884257857","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9673818,0.0018958935,0.029447379,0.00018427514,0.000670197,0.000053828237,0.000039840117,0.0000087858925,0.0003180176],"genre_scores_gemma":[0.9893055,0.00042858414,0.009490495,0.000011280971,0.00030160937,1.7117567e-7,0.0000093596245,0.000020094707,0.0004328803],"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99729794,0.00012175842,0.0011771115,0.00017490012,0.0009948541,0.00023345374],"domain_scores_gemma":[0.99680877,0.00042098324,0.0016072784,0.0003904587,0.00060015684,0.00017237301],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00035267242,0.00023180693,0.0011033432,0.0008047565,0.00005562239,0.00006206677,0.000378865,0.00017883324,0.0011476676],"category_scores_gemma":[0.0011529884,0.00018151622,0.0006487819,0.0015535699,0.00006761338,0.00021487683,0.000099784076,0.00034298815,0.0000014273572],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00095052377,0.0040270668,0.16463064,0.0029561857,0.008161733,0.000103320155,0.0029286733,0.00014535812,0.5489832,0.019829273,0.1974526,0.049831413],"study_design_scores_gemma":[0.012510729,0.002539819,0.0879056,0.0028213111,0.0066785086,0.000620178,0.021666124,0.00060784275,0.79452294,0.060715448,0.0078007504,0.0016107669],"about_ca_topic_score_codex":0.00008544832,"about_ca_topic_score_gemma":0.00002056701,"teacher_disagreement_score":0.24553971,"about_ca_system_score_codex":0.000051084065,"about_ca_system_score_gemma":0.00015431599,"threshold_uncertainty_score":0.9997654},"labels":[],"label_agreement":null},{"id":"W2886095231","doi":"10.4310/cjm.2020.v8.n3.a4","title":"Displacement convexity of Boltzmann’s entropy characterizes the strong energy condition from general relativity","year":2020,"lang":"en","type":"preprint","venue":"Cambridge Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Geodesic; Convexity; Ricci curvature; Mathematics; Entropy (arrow of time); Scalar curvature; Curvature; Lorentz transformation; Boltzmann's entropy formula; Spacetime; Mathematical physics; Mathematical analysis; Physics; Boltzmann equation; Classical mechanics; Geometry; Quantum mechanics","score_opus":0.05060236351098383,"score_gpt":0.29722100766611936,"score_spread":0.24661864415513554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2886095231","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6841569,0.00082231336,0.31200936,0.0010310609,0.0008078633,0.00029348928,0.00048774737,0.00002046719,0.00037079674],"genre_scores_gemma":[0.98021317,0.00048605053,0.017421039,0.000111981746,0.0010420925,0.000014831029,0.00014989567,0.00006394527,0.0004970112],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99544203,0.000397206,0.002265629,0.00031077993,0.0012867107,0.00029764455],"domain_scores_gemma":[0.9912541,0.0011351518,0.005956687,0.00081250066,0.0006465536,0.00019502369],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014369162,0.00051342114,0.0018761021,0.00022481114,0.00010295357,0.00013350822,0.0008817533,0.00035738348,0.00020507244],"category_scores_gemma":[0.001219119,0.0003383709,0.001049289,0.0002749924,0.00016555561,0.00016901165,0.00053210877,0.0012426409,0.0000068095464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005746308,0.005529647,0.0038804526,0.0058834166,0.018098759,0.0003099165,0.008451452,0.0010413828,0.02171632,0.8089498,0.12278742,0.0027767762],"study_design_scores_gemma":[0.00775098,0.0015814498,0.022744423,0.0068397587,0.022564417,0.0002951589,0.007521583,0.12417679,0.030996002,0.7579572,0.014046754,0.003525465],"about_ca_topic_score_codex":0.000047493708,"about_ca_topic_score_gemma":0.000005794008,"teacher_disagreement_score":0.29605627,"about_ca_system_score_codex":0.00017544159,"about_ca_system_score_gemma":0.00024173532,"threshold_uncertainty_score":0.99990684},"labels":[],"label_agreement":null},{"id":"W2887787066","doi":"10.48550/arxiv.1808.05679","title":"Stability of Einstein metrics on fiber bundles","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Einstein; Instability; Rigidity (electromagnetism); Merge (version control); Mathematics; Stability (learning theory); Fiber bundle; Base (topology); Pure mathematics; Bundle; Physics; Mathematical analysis; Mathematical physics; Computer science; Mechanics; Quantum mechanics; Information retrieval","score_opus":0.14725361821328414,"score_gpt":0.22523506603278742,"score_spread":0.07798144781950328,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2887787066","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96443105,0.00007231227,0.012115577,0.000020237165,0.00024023713,0.00030574875,0.000075529795,0.00008090077,0.022658395],"genre_scores_gemma":[0.9951285,0.000070326896,0.0012752288,0.000018133293,0.000102511614,6.0096477e-7,0.000024481606,0.000030112775,0.0033501075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979552,0.00020476968,0.0004250447,0.00086822215,0.00024075565,0.00030600236],"domain_scores_gemma":[0.99640816,0.0006851832,0.0006378356,0.0015902943,0.0005365996,0.0001419374],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007713957,0.000375526,0.0008141997,0.0007881486,0.000085700354,0.00003412241,0.0007998987,0.0005167086,0.0015155099],"category_scores_gemma":[0.0009218756,0.00036470243,0.0006002907,0.0021475642,0.00020287414,0.00008801094,0.00072197267,0.0005953901,0.00015547308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010249797,0.008471989,0.063115306,0.0052270493,0.006263671,0.00034146837,0.0016400161,0.024098188,0.00015443207,0.8550522,0.029902866,0.004707877],"study_design_scores_gemma":[0.0029284607,0.0013053545,0.007574127,0.0009112065,0.0050867624,0.0000037185423,0.0016474895,0.050981272,0.006667507,0.9066761,0.0130049195,0.003213097],"about_ca_topic_score_codex":0.0001231585,"about_ca_topic_score_gemma":0.000070107475,"teacher_disagreement_score":0.05554118,"about_ca_system_score_codex":0.000223066,"about_ca_system_score_gemma":0.0001279693,"threshold_uncertainty_score":0.9998805},"labels":[],"label_agreement":null},{"id":"W2888657834","doi":"10.4310/mrl.2020.v27.n4.a9","title":"Chekanov’s dichotomy in contact topology","year":2020,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Submanifold; Symplectic geometry; Rigidity (electromagnetism); Lagrangian; Dimension (graph theory); Orbit (dynamics); Topology (electrical circuits)","score_opus":0.2011176721918493,"score_gpt":0.4220875591658638,"score_spread":0.2209698869740145,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2888657834","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8638076,0.000099051686,0.023314938,0.09067042,0.00004462778,0.0007956804,0.0000045264032,0.00011405289,0.021149084],"genre_scores_gemma":[0.99113035,0.000009389913,0.0053036455,0.0030493957,0.00016304411,0.00008059505,0.0000031592979,0.00003207212,0.00022834282],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967825,0.00040092412,0.000537216,0.00042114433,0.0010584103,0.0007998301],"domain_scores_gemma":[0.9964514,0.0026537632,0.00006078932,0.00039549053,0.00010220022,0.00033636944],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0022154888,0.00018226872,0.0005652262,0.0003781288,0.00008198757,0.00009525728,0.0005344658,0.0001329634,0.0024732058],"category_scores_gemma":[0.009422739,0.00014210035,0.00015822897,0.0018382997,0.00017422996,0.000117149975,0.00020732598,0.0009793832,0.00083747465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014837342,0.00081564626,0.0030900398,0.0009697448,0.00022155553,0.00067804864,0.0046046576,0.000008123676,0.02372532,0.80839235,0.15494926,0.002396905],"study_design_scores_gemma":[0.0044700424,0.00077422184,0.0046648383,0.00039110213,0.00012623658,0.00004240111,0.0041216672,0.013664481,0.0038526906,0.918053,0.048482973,0.0013563636],"about_ca_topic_score_codex":0.000019106008,"about_ca_topic_score_gemma":0.00001191029,"teacher_disagreement_score":0.12732273,"about_ca_system_score_codex":0.000097246004,"about_ca_system_score_gemma":0.00004460374,"threshold_uncertainty_score":0.9999405},"labels":[],"label_agreement":null},{"id":"W2890187777","doi":"10.4153/s0008439519000328","title":"Infinitesimal Hilbertianity of Weighted Riemannian Manifolds","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Infinitesimal; Tangent bundle; Unit tangent bundle; Sobolev space; Tangent; Hilbert space; Riemannian geometry; Tangent space","score_opus":0.01516118516602642,"score_gpt":0.23341646774079985,"score_spread":0.21825528257477345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890187777","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79174334,0.00007967339,0.0009988629,0.0022864453,0.00009113251,0.0005050625,0.00003539047,0.000058546626,0.20420155],"genre_scores_gemma":[0.9822217,0.0000027640374,0.0063912,0.00043137115,0.00005871777,0.000013347033,0.000013137417,0.000043233264,0.010824482],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99792117,0.000091474845,0.00068018184,0.00032099488,0.000430145,0.0005560338],"domain_scores_gemma":[0.99767995,0.0006477257,0.00019838427,0.0007139597,0.00019245503,0.0005675415],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006876366,0.0002625945,0.0006829512,0.00043267178,0.000069538066,0.000049345053,0.00041046776,0.0002384139,0.08779935],"category_scores_gemma":[0.000908908,0.00022361451,0.0002631074,0.0007124276,0.00007924776,0.0000436953,0.000052980686,0.00027700703,0.014778404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025829155,0.00039417393,0.0031272464,0.0009985861,0.000328223,0.00006286584,0.00070171454,0.0000034881277,0.00023116008,0.90320873,0.08988509,0.00103289],"study_design_scores_gemma":[0.0017812037,0.00032823338,0.0039463663,0.00047670366,0.0005019338,0.000072168754,0.0010195446,0.0017891823,0.00085751957,0.60244256,0.38545328,0.0013312976],"about_ca_topic_score_codex":0.0010011711,"about_ca_topic_score_gemma":0.0011695005,"teacher_disagreement_score":0.30076614,"about_ca_system_score_codex":0.00010443595,"about_ca_system_score_gemma":0.00016634732,"threshold_uncertainty_score":0.9859887},"labels":[],"label_agreement":null},{"id":"W2890415266","doi":"10.1515/crelle-2020-0032","title":"Type II singularities on complete non-compact Yamabe flow","year":2020,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Gravitational singularity; Yamabe flow; Infinity; Singularity; Curvature; Mathematical analysis; Mathematics; Flow (mathematics); Type (biology); Mean curvature flow; Soliton; Work (physics); Physics; Mathematical physics; Scalar curvature; Geometry; Sectional curvature; Nonlinear system","score_opus":0.08089597092197591,"score_gpt":0.3426925038789804,"score_spread":0.2617965329570045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890415266","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42267188,0.15504012,0.18567173,0.073165454,0.024338506,0.0056579416,0.0011415262,0.0015319472,0.1307809],"genre_scores_gemma":[0.77281153,0.045945115,0.12952413,0.0029440944,0.02558032,0.00003249211,0.00032100498,0.0014859124,0.021355428],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9914404,0.0005302396,0.0031236953,0.0009338439,0.002668049,0.0013037623],"domain_scores_gemma":[0.9909695,0.0010542724,0.003981909,0.0012956667,0.0014497016,0.0012489803],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0028814252,0.0016595316,0.0036395113,0.0015764885,0.0019733957,0.0023639142,0.0019871872,0.00089874316,0.0017215752],"category_scores_gemma":[0.0026110776,0.0012254777,0.0025918796,0.001104891,0.00018310997,0.00039601748,0.0009786414,0.007771435,0.00022238062],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001647546,0.004734868,0.0002216814,0.0061649634,0.024194753,0.008433632,0.017000353,0.013955281,0.0034317577,0.0148916915,0.88976026,0.015563237],"study_design_scores_gemma":[0.004281361,0.0027125205,0.0001433017,0.010816121,0.006099303,0.004577299,0.002502212,0.01802326,0.0014693355,0.728635,0.21718292,0.0035573423],"about_ca_topic_score_codex":0.000017048325,"about_ca_topic_score_gemma":0.000015836911,"teacher_disagreement_score":0.7137433,"about_ca_system_score_codex":0.000627734,"about_ca_system_score_gemma":0.00063021434,"threshold_uncertainty_score":0.9996152},"labels":[],"label_agreement":null},{"id":"W2891478366","doi":"10.28924/2291-8639-16-2018-614","title":"On Dual Curves of DAW(k)-Type and Their Evolutes","year":2018,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Dual (grammatical number); Type (biology); Euclidean geometry; Euclidean space; Space (punctuation); Section (typography); Frame (networking); Geometry; Pure mathematics; Combinatorics; Computer science; Philosophy; Linguistics","score_opus":0.0203893208366517,"score_gpt":0.3192687048086432,"score_spread":0.29887938397199154,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2891478366","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88734174,0.0031792005,0.1049268,0.0020485758,0.00010929496,0.0001288041,0.000052588795,0.00000967602,0.0022033404],"genre_scores_gemma":[0.9966418,0.0010745034,0.0017698086,0.0001257963,0.00023715034,0.000002413679,0.0000072183293,0.000004584257,0.00013668224],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990711,0.000026876842,0.00044114454,0.000108748296,0.0002908764,0.000061229686],"domain_scores_gemma":[0.997635,0.00033940191,0.00048785354,0.00014024453,0.0013409259,0.00005658485],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003821083,0.00008383522,0.0003037442,0.00053572195,0.000048010057,0.000033935205,0.00017975197,0.000033966182,0.00014489176],"category_scores_gemma":[0.00027653313,0.000056209676,0.00015058223,0.00097163167,0.0000994346,0.000081210484,0.000039809904,0.000085842126,0.0000018828132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00036582843,0.0029191396,0.08285227,0.00022990926,0.04207835,0.000011395142,0.0022071716,0.00017190326,0.009286227,0.6953017,0.045197517,0.11937861],"study_design_scores_gemma":[0.002958996,0.0020955012,0.2044832,0.0009957561,0.014289285,0.00028106474,0.0033045367,0.010096204,0.0115479855,0.6717976,0.076960646,0.0011892713],"about_ca_topic_score_codex":0.000012037432,"about_ca_topic_score_gemma":0.000025175144,"teacher_disagreement_score":0.12163094,"about_ca_system_score_codex":0.000011394016,"about_ca_system_score_gemma":0.000023554749,"threshold_uncertainty_score":0.2292164},"labels":[],"label_agreement":null},{"id":"W2893908339","doi":"10.1016/j.jfa.2019.108409","title":"The Steklov and Laplacian spectra of Riemannian manifolds with boundary","year":2019,"lang":"en","type":"preprint","venue":"Journal of Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Boundary (topology); Omega; Riemannian manifold; Laplace operator; Mathematics; Eigenvalues and eigenvectors; Bounded function; Lambda; Geometry; Constant (computer programming); Sigma; Manifold (fluid mechanics); Combinatorics; Mathematical analysis; Pure mathematics; Physics; Quantum mechanics","score_opus":0.020377850274291003,"score_gpt":0.2505760128444619,"score_spread":0.2301981625701709,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2893908339","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8657187,0.01029401,0.11343519,0.0032160226,0.0010185384,0.000379591,0.00010316413,0.000021342961,0.005813401],"genre_scores_gemma":[0.99187565,0.00058662455,0.0031888008,0.000051967258,0.00047551322,0.0000029707655,0.000021852358,0.000025451463,0.0037711742],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9968767,0.00014127712,0.0011330893,0.00028109478,0.0013527843,0.00021506044],"domain_scores_gemma":[0.9950885,0.0007264698,0.0024650402,0.0005369589,0.0010583502,0.0001246515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001667292,0.00030972646,0.0012870909,0.001090411,0.00018799861,0.00021290644,0.00037160332,0.00021922808,0.0002748539],"category_scores_gemma":[0.00022126923,0.00016870456,0.001166492,0.0015240358,0.00014537622,0.000120365294,0.00016541666,0.0008998922,0.0000039833812],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0046875486,0.0024093392,0.4026065,0.0024281864,0.3451688,0.00035668266,0.0022486001,0.113362044,0.00026846217,0.055004153,0.06054275,0.010916929],"study_design_scores_gemma":[0.0036736547,0.001972855,0.6007544,0.0008384994,0.13713802,0.00065477367,0.005942895,0.014344804,0.00016046525,0.18361995,0.04895631,0.0019433708],"about_ca_topic_score_codex":0.00003208803,"about_ca_topic_score_gemma":0.00025063477,"teacher_disagreement_score":0.20803078,"about_ca_system_score_codex":0.00009283171,"about_ca_system_score_gemma":0.00032588307,"threshold_uncertainty_score":0.6879572},"labels":[],"label_agreement":null},{"id":"W2895823885","doi":"10.1515/acv-2019-0088","title":"Anisotropic liquid drop models","year":2020,"lang":"en","type":"preprint","venue":"Advances in Calculus of Variations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Isotropy; Anisotropy; Surface tension; Drop (telecommunication); Liquid drop; Surface energy; Semi-empirical mass formula; Surface (topology); Physics; Condensed matter physics; Materials science; Statistical physics; Mechanics; Geometry; Optics; Mathematics; Thermodynamics; Computer science; Quantum mechanics","score_opus":0.05375395678778006,"score_gpt":0.3394001592300589,"score_spread":0.28564620244227884,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2895823885","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0020616013,0.0041505457,0.9794379,0.00086516136,0.000438855,0.00037986576,0.00010748451,0.00006983847,0.012488766],"genre_scores_gemma":[0.93667644,0.0016542214,0.061110668,0.00007072973,0.00016510858,0.00007426434,0.000088745735,0.000032960023,0.00012684378],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980043,0.00009102979,0.000808849,0.0004546011,0.00041633274,0.00022486389],"domain_scores_gemma":[0.9981695,0.00036381744,0.0005508731,0.0006234548,0.00021410316,0.00007824101],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023009168,0.00025334247,0.0007343984,0.00032388145,0.00004897581,0.000028020879,0.00048803288,0.00027219063,0.00011361924],"category_scores_gemma":[0.0008232758,0.00024290195,0.00028437472,0.00093753036,0.000046025532,0.00026425163,0.0004284946,0.00056360016,0.000010274653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001864315,0.00022111401,0.000027143851,0.0002730844,0.000116598225,0.000005049355,0.0006128502,0.054131072,0.000043829772,0.94332355,0.00019792022,0.001029114],"study_design_scores_gemma":[0.0003055064,0.00008387489,0.000056235942,0.00015267829,0.00024755238,8.2514697e-7,0.000104048,0.1952484,0.0000799592,0.8005615,0.0028657545,0.0002937044],"about_ca_topic_score_codex":0.00010159185,"about_ca_topic_score_gemma":0.00021725263,"teacher_disagreement_score":0.93461484,"about_ca_system_score_codex":0.00009495694,"about_ca_system_score_gemma":0.00015302672,"threshold_uncertainty_score":0.9905254},"labels":[],"label_agreement":null},{"id":"W2897059155","doi":"10.1007/s00526-023-02584-6","title":"On the existence of closed $$C^{1,1}$$ curves of constant curvature","year":2023,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Constant (computer programming); Curvature; Mathematical analysis; Center of curvature; Mean curvature; Point (geometry); Geometry; Pure mathematics","score_opus":0.07276215899632729,"score_gpt":0.31392636198298984,"score_spread":0.24116420298666255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2897059155","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22675858,0.00043643074,0.7677562,0.0017896882,0.00027183225,0.0006489031,0.00051162654,0.00004930386,0.0017774134],"genre_scores_gemma":[0.99944514,0.00011663345,0.00013186136,0.000025411562,0.000029923902,0.000025820735,0.00005982342,0.000008261034,0.0001571504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986318,0.00013328997,0.00057509146,0.00015172106,0.00036715833,0.00014094246],"domain_scores_gemma":[0.99689186,0.0020265244,0.0004065741,0.00033934743,0.00028924682,0.000046460875],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000379213,0.00011836689,0.00035917893,0.00019323213,0.00012705736,0.00001325881,0.00015959053,0.00008087393,0.00030731971],"category_scores_gemma":[0.002273469,0.00007851021,0.00017553821,0.0012033419,0.00016322832,0.000050654042,0.000053284533,0.00011705572,0.000004170023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012124029,0.00017549805,0.000036173962,0.00012052267,0.00015018383,2.0741834e-7,0.00034865897,0.0000532485,0.00235686,0.99527586,0.0011580075,0.00031263992],"study_design_scores_gemma":[0.0028752515,0.0009120778,0.022114463,0.0018604134,0.0037382806,0.0000026052126,0.0017143318,0.7006565,0.018915152,0.24562332,0.00067542336,0.00091221393],"about_ca_topic_score_codex":0.00004527106,"about_ca_topic_score_gemma":0.000022247046,"teacher_disagreement_score":0.77268654,"about_ca_system_score_codex":0.0000061889305,"about_ca_system_score_gemma":0.000058480236,"threshold_uncertainty_score":0.33649355},"labels":[],"label_agreement":null},{"id":"W2897785250","doi":"10.4310/acta.2022.v228.n2.a1","title":"Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness","year":2022,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Uniqueness; Regular polygon; Entropy (arrow of time); Mathematical analysis; Geometry; Thermodynamics","score_opus":0.022391552624243458,"score_gpt":0.26210141296928596,"score_spread":0.2397098603450425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2897785250","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97478247,0.0006126953,0.011355614,0.0032889626,0.00028995008,0.00088583917,0.000056204128,0.000305092,0.0084231505],"genre_scores_gemma":[0.9893917,0.000030756473,0.009019315,0.00062006543,0.000077450204,0.000110511915,0.000016304935,0.00005267535,0.0006812389],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99770457,0.0001610142,0.0005347743,0.0004471918,0.0007359225,0.00041650503],"domain_scores_gemma":[0.9982868,0.00049447536,0.00026429116,0.00065471174,0.00007992616,0.00021980345],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00077704433,0.0002858748,0.0006310549,0.00020126633,0.00035616115,0.00011079644,0.0004502131,0.00006748606,0.0023975382],"category_scores_gemma":[0.0005483911,0.00024157956,0.00017621969,0.0009688537,0.000050154984,0.0001596735,0.00044113092,0.00033664898,0.000042000305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001035085,0.0020886138,0.00046290443,0.0015028552,0.00086347095,0.00013631409,0.010527756,0.000043576507,0.014352482,0.8828766,0.08334446,0.0036974698],"study_design_scores_gemma":[0.00318224,0.00068768713,0.00085910736,0.00018615325,0.0013779538,0.00033672826,0.011924278,0.08339998,0.0031548264,0.7759768,0.116647355,0.0022669078],"about_ca_topic_score_codex":0.0000068906174,"about_ca_topic_score_gemma":0.0000037026005,"teacher_disagreement_score":0.10689981,"about_ca_system_score_codex":0.00007800247,"about_ca_system_score_gemma":0.00006134907,"threshold_uncertainty_score":0.9985144},"labels":[],"label_agreement":null},{"id":"W2900102817","doi":"10.1090/proc/14436","title":"Some curvature estimates of Kähler-Ricci flow","year":2018,"lang":"de","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"University Research Committee, University of Hong Kong","keywords":"Ricci flow; Curvature; Flow (mathematics); Ricci curvature; Geology; Mathematics; Physics; Mechanics; Geometry","score_opus":0.015994222562966072,"score_gpt":0.2719779558160724,"score_spread":0.25598373325310636,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2900102817","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9766929,0.0050693587,0.00493149,0.004779962,0.0008117312,0.0016410445,0.000171437,0.0002049307,0.0056971363],"genre_scores_gemma":[0.769779,0.0006448291,0.22533596,0.0007059848,0.0022952547,0.000040043364,0.000004746855,0.00016414038,0.0010300517],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99527246,0.000029240391,0.0016008118,0.0006520811,0.0015937764,0.0008516112],"domain_scores_gemma":[0.99345636,0.0009030601,0.0031795048,0.00068159506,0.0015287045,0.00025079152],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0014629763,0.00068785716,0.0022437018,0.0001255206,0.00031697468,0.00012630479,0.0017299629,0.00031794765,0.0003535285],"category_scores_gemma":[0.0033503398,0.00044451174,0.002069939,0.0037386713,0.0035191,0.00032048696,0.0008535927,0.0007842453,0.00012292998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000337036,0.0071137208,0.011450071,0.018621413,0.0142756095,0.0000013632803,0.03377011,0.000022518154,0.040375672,0.37551403,0.48956755,0.008950912],"study_design_scores_gemma":[0.0010694675,0.0011577313,0.0014504894,0.002200498,0.0073361206,0.000014639368,0.012948177,0.06560049,0.05119814,0.8525906,0.0030937768,0.0013398357],"about_ca_topic_score_codex":0.00002186803,"about_ca_topic_score_gemma":4.4431565e-7,"teacher_disagreement_score":0.48647377,"about_ca_system_score_codex":0.000110812514,"about_ca_system_score_gemma":0.00010622322,"threshold_uncertainty_score":0.9998007},"labels":[],"label_agreement":null},{"id":"W2905136088","doi":"10.4153/s0008439518000632","title":"Ricci Solitons on Almost Co-Kähler Manifolds","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Vector field; Killing vector field; Manifold (fluid mechanics); Minkowski space; Mathematical physics; Mathematical analysis; Einstein manifold; Ricci curvature; Pure mathematics; Field (mathematics); Dimension (graph theory); Geometry","score_opus":0.038613831742086435,"score_gpt":0.3006418139377779,"score_spread":0.26202798219569146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2905136088","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13522854,0.000052853065,0.0036688054,0.010487513,0.00028284086,0.0005928755,0.00007504045,0.00018563643,0.8494259],"genre_scores_gemma":[0.96019745,0.00000396862,0.0051871515,0.003414943,0.0007467064,0.00004296265,0.00001987293,0.00008343692,0.030303523],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99756604,0.00008883311,0.0005262622,0.00045491458,0.0005038619,0.00086008635],"domain_scores_gemma":[0.99729055,0.0006178002,0.000118588956,0.0008280038,0.00018256642,0.0009624916],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006792711,0.00034200467,0.0005415806,0.00044884405,0.0003221533,0.00014052729,0.00046647707,0.0002686673,0.094059706],"category_scores_gemma":[0.0015097844,0.0002774568,0.00024200094,0.0006124514,0.00019841088,0.0000311514,0.000037809772,0.00032767525,0.078518495],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007733712,0.00014060315,0.000056424386,0.000059536455,0.00009462411,0.000059958482,0.00024147762,3.4760635e-7,0.000015180152,0.32629094,0.67225015,0.0007830209],"study_design_scores_gemma":[0.000397062,0.00022425655,0.00039621256,0.00012339398,0.0001461867,0.00004373506,0.00035429065,0.00018983523,0.0002806903,0.19176173,0.8055102,0.0005723617],"about_ca_topic_score_codex":0.00040978397,"about_ca_topic_score_gemma":0.0015449965,"teacher_disagreement_score":0.8249689,"about_ca_system_score_codex":0.00020926369,"about_ca_system_score_gemma":0.00015961146,"threshold_uncertainty_score":0.99996775},"labels":[],"label_agreement":null},{"id":"W2908439566","doi":"10.48550/arxiv.1901.00944","title":"Index Estimates for Surfaces with Constant Mean Curvature in $3$-dimensional Manifolds","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mean curvature; Mathematics; Manifold (fluid mechanics); Index (typography); Constant (computer programming); Mathematical analysis; Euclidean space; Constant-mean-curvature surface; Surface (topology); Curvature; Boundary (topology); Genus; Bounded function; Sectional curvature; Space (punctuation); Function (biology); Mean curvature flow; Pure mathematics; Geometry; Scalar curvature; Computer science","score_opus":0.06775963006823693,"score_gpt":0.21414007215201958,"score_spread":0.14638044208378265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2908439566","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95780075,0.0003422746,0.038316935,0.000072142575,0.00024666384,0.0010014498,0.00012593434,0.00010428176,0.0019895916],"genre_scores_gemma":[0.9938858,0.0000347217,0.0035905556,0.00004503333,0.000038923677,0.000002989828,0.000102570746,0.000048997084,0.0022503932],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.997966,0.000070767,0.00032868964,0.0009938732,0.00019362735,0.00044706883],"domain_scores_gemma":[0.9975861,0.00072636723,0.00044209458,0.0007941488,0.0003297097,0.00012159916],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00046324206,0.0004937292,0.00089626695,0.00056260737,0.00009023522,0.00007523457,0.0005672733,0.0005872729,0.0001323345],"category_scores_gemma":[0.00012746245,0.0004286109,0.00028887793,0.0009546668,0.000107453794,0.00015078162,0.0004122732,0.0007471948,0.00002095033],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000614254,0.00053948606,0.16857855,0.0010694526,0.0013597067,0.0003326398,0.00030583233,0.62204295,0.00002357882,0.20203176,0.003043713,0.000058064972],"study_design_scores_gemma":[0.0037719794,0.0002588281,0.009566395,0.0010883346,0.0016956284,0.000015264908,0.0010064816,0.65267795,0.00008657336,0.32728305,0.00083196774,0.0017174972],"about_ca_topic_score_codex":0.00016640406,"about_ca_topic_score_gemma":0.0009968729,"teacher_disagreement_score":0.15901215,"about_ca_system_score_codex":0.00018878598,"about_ca_system_score_gemma":0.00025759646,"threshold_uncertainty_score":0.9998166},"labels":[],"label_agreement":null},{"id":"W2908957408","doi":"10.1016/j.aim.2020.107108","title":"Poincaré-Lovelock metrics on conformally compact manifolds","year":2020,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Conformal map; Einstein; Poincaré conjecture; Generalization; Metric (unit); Mathematical physics; Mathematics; Pure mathematics; Ball (mathematics); Physics; Mathematical analysis","score_opus":0.05400780896902328,"score_gpt":0.33917292902501456,"score_spread":0.28516512005599126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2908957408","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07037178,0.017353281,0.23411626,0.0036491684,0.004241225,0.0061220434,0.00061621185,0.0015131823,0.66201687],"genre_scores_gemma":[0.77941877,0.0046379305,0.21134429,0.00085469807,0.00062476227,0.00009704697,0.0001921327,0.00030559622,0.0025247918],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99533695,0.00011449072,0.0017183785,0.0007894855,0.0013791929,0.0006614943],"domain_scores_gemma":[0.994957,0.0018764148,0.0013207305,0.0013789475,0.00023364602,0.00023329594],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011331231,0.00086659356,0.001983308,0.0010245816,0.00008737144,0.00020946279,0.0013212711,0.00059611205,0.0003052164],"category_scores_gemma":[0.002922764,0.0007409207,0.0005747485,0.0019530057,0.00008198218,0.00028509463,0.0006086666,0.0018169897,0.00023355585],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000117518066,0.0028358728,0.0014192851,0.012868085,0.0010098849,0.00033464798,0.0046227677,0.012153527,0.000021611631,0.9356836,0.016287627,0.012645553],"study_design_scores_gemma":[0.0007862417,0.00017372884,0.00026637467,0.0010832354,0.00039200368,0.000015519405,0.0010484875,0.027431838,0.00012959047,0.9487665,0.01877441,0.0011320494],"about_ca_topic_score_codex":0.0000109192315,"about_ca_topic_score_gemma":0.00003937706,"teacher_disagreement_score":0.70904696,"about_ca_system_score_codex":0.00028455278,"about_ca_system_score_gemma":0.0001492422,"threshold_uncertainty_score":0.9995042},"labels":[],"label_agreement":null},{"id":"W2911751908","doi":"10.1515/agms-2019-0010","title":"Weakly Noncollapsed RCD Spaces with Upper Curvature Bounds","year":2019,"lang":"en","type":"preprint","venue":"Analysis and Geometry in Metric Spaces","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Curvature; Mathematics; Pure mathematics; Geometry","score_opus":0.01532834950240057,"score_gpt":0.2849629043921853,"score_spread":0.2696345548897847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2911751908","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9675836,0.018745795,0.0066921627,0.0011491191,0.0004078474,0.00080055563,0.000106622094,0.000115154966,0.004399121],"genre_scores_gemma":[0.97818255,0.0031746821,0.010653895,0.00016497789,0.00029490286,0.00007945837,0.00022904576,0.00009630216,0.007124167],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99331546,0.00037305627,0.0012881418,0.0020242725,0.0019706076,0.0010284841],"domain_scores_gemma":[0.9937186,0.0018670459,0.0014703791,0.0020109212,0.00059294957,0.0003401071],"candidate_categories":["metaepi_narrow","bibliometrics","scholarly_communication","research_integrity"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.002740092,0.0012371539,0.0039486573,0.018807989,0.00021665003,0.0014182586,0.0010139506,0.0013592115,0.00080290454],"category_scores_gemma":[0.0015354422,0.0008911234,0.0012508184,0.04610738,0.00019376694,0.00032047066,0.00085117976,0.0021050847,0.000040392784],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011550594,0.00066968636,0.9633462,0.00089884107,0.0175031,0.000078338846,0.0007331457,0.0050217267,0.000016564669,0.0012602878,0.0070303213,0.0033263057],"study_design_scores_gemma":[0.004746314,0.001112479,0.8081938,0.0011794539,0.07068878,0.000040376122,0.012157129,0.024268385,0.0002561497,0.019320047,0.05077105,0.007266023],"about_ca_topic_score_codex":0.0018894173,"about_ca_topic_score_gemma":0.0028615536,"teacher_disagreement_score":0.15515237,"about_ca_system_score_codex":0.00022761589,"about_ca_system_score_gemma":0.00024999882,"threshold_uncertainty_score":0.99993724},"labels":[],"label_agreement":null},{"id":"W2911915851","doi":"10.48550/arxiv.1901.07791","title":"Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McGill University","keywords":"Scalar curvature; Curvature; Hypersurface; Mathematics; Mean curvature; Prescribed scalar curvature problem; Submanifold; Mathematical analysis; Bounded function; Mean curvature flow; Dimension (graph theory); Scalar (mathematics); Sectional curvature; Pure mathematics; Geometry","score_opus":0.10426399912236325,"score_gpt":0.22894047586702831,"score_spread":0.12467647674466506,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2911915851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94863397,0.0012852724,0.047765255,0.000068674846,0.0005203474,0.0010817152,0.00010709297,0.00007980788,0.00045783553],"genre_scores_gemma":[0.9926303,0.000099632365,0.006317852,0.00002168468,0.000053608797,0.0000032734008,0.00008298391,0.000056643305,0.0007340324],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99779856,0.000081495295,0.00050869863,0.0010034869,0.00017335934,0.00043442086],"domain_scores_gemma":[0.99709624,0.0006864948,0.00068795343,0.0010602322,0.00037123178,0.000097863165],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005678039,0.00051503646,0.001194928,0.0006352744,0.00007151036,0.000056113928,0.0008418499,0.000872751,0.000060936294],"category_scores_gemma":[0.0006299935,0.0004904053,0.0005874689,0.001023409,0.000097714,0.00022685692,0.00085021666,0.00095808035,0.000010467498],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0017182472,0.0015708806,0.4028366,0.010827044,0.0042730924,0.00020353917,0.0025094147,0.4190055,0.0042734593,0.14235507,0.009080317,0.0013468151],"study_design_scores_gemma":[0.004119413,0.0004039779,0.016711025,0.0043897135,0.003987817,0.0000059642557,0.0013236655,0.6578784,0.0025622067,0.30495006,0.0013626681,0.0023050904],"about_ca_topic_score_codex":0.00014616354,"about_ca_topic_score_gemma":0.00036846576,"teacher_disagreement_score":0.38612556,"about_ca_system_score_codex":0.00015056762,"about_ca_system_score_gemma":0.00011344207,"threshold_uncertainty_score":0.9997548},"labels":[],"label_agreement":null},{"id":"W2912097395","doi":"10.4310/cag.2021.v29.n8.a6","title":"Convergence result and blow-up examples for the Guan–Li mean curvature flow on warped product spaces","year":2021,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Guan; Mathematics; Convergence (economics); Product (mathematics); Flow (mathematics); Space (punctuation); Mathematical analysis; Mean curvature flow; Curvature; Product topology; Pure mathematics; Mean curvature; Geometry; Computer science; Humanities","score_opus":0.08543895266069147,"score_gpt":0.3498996942960645,"score_spread":0.26446074163537303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2912097395","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85760367,0.084812276,0.028588068,0.02592378,0.00029838833,0.0011133268,0.00026675372,0.000104731684,0.001289022],"genre_scores_gemma":[0.96594685,0.010350628,0.021710446,0.00021384287,0.000051394174,0.00007741224,0.00015556131,0.000016302629,0.0014775388],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99823046,0.00025908274,0.000505677,0.00047764473,0.00027988647,0.00024722252],"domain_scores_gemma":[0.99366426,0.0030594016,0.00022613435,0.0025973155,0.00037820303,0.0000746917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015574137,0.00021811936,0.00057222234,0.00072536216,0.0005274955,0.0002077706,0.0006596327,0.0001145234,0.00014118277],"category_scores_gemma":[0.002838515,0.00015238911,0.00024925914,0.0062023974,0.00021670414,0.0001026951,0.00037280816,0.0003913306,0.0000026779433],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028954042,0.0035691306,0.28647298,0.0009212637,0.024087336,0.000015952566,0.017258277,0.0031480612,0.0010648913,0.27391818,0.04230946,0.34694493],"study_design_scores_gemma":[0.004081004,0.00024647012,0.2682477,0.00038965698,0.020695902,0.000027759459,0.028468868,0.35151184,0.0020307186,0.059595764,0.2623676,0.0023367042],"about_ca_topic_score_codex":0.00010850396,"about_ca_topic_score_gemma":0.0033673306,"teacher_disagreement_score":0.3483638,"about_ca_system_score_codex":0.000025805773,"about_ca_system_score_gemma":0.00004109694,"threshold_uncertainty_score":0.62142473},"labels":[],"label_agreement":null},{"id":"W2919697772","doi":"10.48550/arxiv.1903.01643","title":"Invariant Ricci-flat Metrics of Cohomogeneity One with Wallach Spaces as Principal Orbits","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Holonomy; Mathematics; Ricci curvature; Metric (unit); Invariant (physics); Einstein; Pure mathematics; Mathematical analysis; Combinatorics; Mathematical physics; Geometry; Curvature","score_opus":0.10731666648059793,"score_gpt":0.21630739779559696,"score_spread":0.10899073131499903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2919697772","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9432998,0.00020114968,0.043880187,0.000043881337,0.00018677025,0.00065362634,0.00004945845,0.00008869109,0.01159646],"genre_scores_gemma":[0.9894345,0.0003131682,0.0029162765,0.000025511576,0.00007234233,0.0000013017415,0.000047837475,0.000055499222,0.0071336096],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972061,0.00021783006,0.0004888652,0.0011447173,0.00046185954,0.0004806187],"domain_scores_gemma":[0.9956516,0.00056435785,0.0011349109,0.0016845755,0.00072267075,0.00024186797],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008315404,0.0005620929,0.0013593036,0.0011568689,0.000105550775,0.00008278787,0.00110513,0.0006642185,0.0003762171],"category_scores_gemma":[0.00054422894,0.0005122303,0.00045838032,0.0034218663,0.00013545864,0.00017094813,0.0012412462,0.00092885375,0.0001231925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000977685,0.002522225,0.20203978,0.00367801,0.00908509,0.0008882169,0.0012586394,0.13456447,0.00027032814,0.64274395,0.0016857206,0.00028588803],"study_design_scores_gemma":[0.020140557,0.0046111974,0.05648455,0.0045769843,0.043027177,0.0001525116,0.0076039815,0.30199432,0.015758803,0.52296966,0.008603406,0.014076833],"about_ca_topic_score_codex":0.00064103515,"about_ca_topic_score_gemma":0.00039750276,"teacher_disagreement_score":0.16742986,"about_ca_system_score_codex":0.00027832645,"about_ca_system_score_gemma":0.00045200074,"threshold_uncertainty_score":0.9997329},"labels":[],"label_agreement":null},{"id":"W2922173271","doi":"10.1007/s10883-019-09458-1","title":"Optimal Controlled Transports with Free End Times Subject to Import/Export Tariffs","year":2019,"lang":"en","type":"preprint","venue":"Journal of Dynamical and Control Systems","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Bounded function; Domain (mathematical analysis); Mathematical optimization; Boundary (topology); Eulerian path; Free boundary problem; Lagrangian and Eulerian specification of the flow field; Variational inequality; Homogeneous; Function (biology); Dual (grammatical number); Lagrangian; Mathematics; Optimization problem; Applied mathematics; Mathematical analysis; Combinatorics","score_opus":0.008532009685943661,"score_gpt":0.2294238215975902,"score_spread":0.22089181191164653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2922173271","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8757911,0.0047569824,0.11429046,0.0008810211,0.0011461601,0.0020564734,0.00017323348,0.000037920567,0.0008666704],"genre_scores_gemma":[0.99614894,0.00007266189,0.0017473969,0.0000781644,0.0006573564,0.000049486564,0.000014878359,0.000058762067,0.00117235],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9952768,0.00022559559,0.0022175373,0.0005026563,0.0012975353,0.0004798944],"domain_scores_gemma":[0.99524254,0.0006350633,0.0022786527,0.0006997642,0.00065627013,0.00048769487],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002058157,0.0006296763,0.0039235475,0.00056523824,0.0000713722,0.0002798907,0.0006300538,0.0005678151,0.000091430215],"category_scores_gemma":[0.0003134141,0.00037469075,0.00095416774,0.00028058127,0.00006217324,0.00012263101,0.00010713177,0.0012452301,0.0000046766168],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.08678799,0.009246138,0.28879967,0.014621563,0.11429699,0.011687924,0.005972226,0.37887815,0.003132586,0.0394474,0.03947339,0.0076559917],"study_design_scores_gemma":[0.20761235,0.016474402,0.06171794,0.015379516,0.0519926,0.008077959,0.0048037865,0.5882748,0.00004059406,0.023907004,0.012560924,0.009158162],"about_ca_topic_score_codex":0.00018140074,"about_ca_topic_score_gemma":0.0000884514,"teacher_disagreement_score":0.22708172,"about_ca_system_score_codex":0.00011468396,"about_ca_system_score_gemma":0.0003474277,"threshold_uncertainty_score":0.9998705},"labels":[],"label_agreement":null},{"id":"W2922467123","doi":"10.26713/jims.v10i4.797","title":"Some Results on Anti-Invariant Submanifolds of \\((LCS)_N\\)-Manifold","year":2018,"lang":"en","type":"article","venue":"Journal of Informatics and Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Horizon College and Seminary","funders":"","keywords":"Invariant (physics); Pure mathematics; Homomorphism; Mathematics; Invariant manifold; Manifold (fluid mechanics); Mathematical analysis; Mathematical physics","score_opus":0.04395474569458241,"score_gpt":0.3069233799134805,"score_spread":0.2629686342188981,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2922467123","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9570222,0.00014673774,0.012606073,0.0006748864,0.00027219192,0.00018292994,0.00001257348,0.00001570532,0.029066732],"genre_scores_gemma":[0.9514269,0.00013697887,0.047889464,0.00016631,0.00025656374,7.101741e-7,3.2274767e-7,0.000006653673,0.00011605435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967472,0.0000400435,0.0017695468,0.000096486394,0.001060776,0.00028592208],"domain_scores_gemma":[0.9968765,0.00085243,0.0014903115,0.00022331084,0.00038056946,0.00017687381],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004007876,0.00017826431,0.00065539184,0.0004441833,0.00018010348,0.00014587103,0.00045729027,0.000101604106,0.0000759458],"category_scores_gemma":[0.0019194098,0.0001009986,0.00018293684,0.0007305993,0.0003679132,0.00061127025,0.00009410983,0.00018911483,0.000020654621],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047542606,0.00036282494,0.000074497424,0.00030562482,0.00012027427,0.0000068087647,0.0027477494,0.000016680719,0.00017108496,0.98980564,0.004856736,0.0014845388],"study_design_scores_gemma":[0.0018527579,0.004396832,0.0010107715,0.0011645285,0.00038831646,0.00034183322,0.006541933,0.016741054,0.005310306,0.9595338,0.0022173908,0.00050045515],"about_ca_topic_score_codex":0.0000023613165,"about_ca_topic_score_gemma":0.0000018028798,"teacher_disagreement_score":0.03528339,"about_ca_system_score_codex":0.000017723713,"about_ca_system_score_gemma":0.00008577401,"threshold_uncertainty_score":0.41186032},"labels":[],"label_agreement":null},{"id":"W2923829662","doi":"10.4153/s0008439519000407","title":"On Subcartesian Spaces Leibniz’ Rule Implies the Chain Rule","year":2019,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Chain rule (probability); Rule-based system; Chain (unit); Mathematics; Mathematical economics; Computer science; Artificial intelligence; Physics; Law of total probability","score_opus":0.023998938019659428,"score_gpt":0.25634999909643463,"score_spread":0.2323510610767752,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2923829662","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4525918,0.001917597,0.008326333,0.1168434,0.0018709406,0.005032892,0.0007035226,0.00050750916,0.412206],"genre_scores_gemma":[0.9541968,0.00003980516,0.0032621748,0.002792642,0.00059467833,0.0002697904,0.00011089256,0.00021483078,0.038518395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99597996,0.00026874,0.00087622297,0.0008843055,0.00086316647,0.0011275882],"domain_scores_gemma":[0.99426174,0.0021420387,0.00042675209,0.0022335248,0.00019840438,0.00073753076],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0016265364,0.0007969998,0.0013464153,0.0006043624,0.00034928834,0.000632805,0.001441753,0.0008058812,0.023225863],"category_scores_gemma":[0.002858815,0.00053770025,0.000712603,0.0005048301,0.00021786732,0.00002406541,0.00037871744,0.001732902,0.022040397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000115816565,0.00015810996,0.000081025144,0.000896685,0.0004191654,0.000062538806,0.0008601575,0.0001352187,0.0000038409044,0.58747196,0.4090065,0.0008932192],"study_design_scores_gemma":[0.00029002022,0.00006240473,0.00022495483,0.00055625424,0.0004058119,0.00002345156,0.0009833468,0.0007872691,0.000029057448,0.8920227,0.10370098,0.00091371295],"about_ca_topic_score_codex":0.0017809194,"about_ca_topic_score_gemma":0.0022815622,"teacher_disagreement_score":0.501605,"about_ca_system_score_codex":0.00039260814,"about_ca_system_score_gemma":0.00056036393,"threshold_uncertainty_score":0.99970746},"labels":[],"label_agreement":null},{"id":"W2929920294","doi":"10.5802/aif.3410","title":"Geometry and entropies in a fixed conformal class on surfaces","year":2021,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conformal map; Mathematics; Gaussian curvature; Geodesic; Fixed point; Mathematical analysis; Curvature; Pure mathematics; Topology (electrical circuits); Geometry; Combinatorics","score_opus":0.037504923142882896,"score_gpt":0.29059193389716625,"score_spread":0.25308701075428336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2929920294","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9885385,0.0037580158,0.0011302684,0.0006868351,0.00036452158,0.00030001914,0.000043952972,0.000056087247,0.0051217787],"genre_scores_gemma":[0.9902709,0.0015895718,0.00581523,0.00046861047,0.00019934522,0.00004596228,0.00011016273,0.000028463644,0.0014717372],"study_design_codex":"observational","study_design_gemma":"not_applicable","domain_scores_codex":[0.9975969,0.0001204566,0.0006161851,0.0005903487,0.00053305645,0.0005430069],"domain_scores_gemma":[0.9983176,0.0003744323,0.00029996483,0.0006665808,0.00016919349,0.00017222628],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000663185,0.0004638743,0.00092750223,0.00067452766,0.000116055824,0.00036367172,0.00034039543,0.000595954,0.0002935586],"category_scores_gemma":[0.0010686677,0.00041344715,0.00029737933,0.0006316012,0.00016875731,0.00018091043,0.0005253103,0.0011555192,0.000019364705],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010519701,0.0050690193,0.360041,0.011500324,0.008662459,0.005773085,0.030388594,0.035558537,0.00029074098,0.32508594,0.08889307,0.12768526],"study_design_scores_gemma":[0.0068388623,0.00062482676,0.13777032,0.005812522,0.0022347248,0.0002827791,0.013291506,0.051406674,0.0014442252,0.04600061,0.728278,0.006014954],"about_ca_topic_score_codex":0.00013610805,"about_ca_topic_score_gemma":0.0007056325,"teacher_disagreement_score":0.6393849,"about_ca_system_score_codex":0.00010426923,"about_ca_system_score_gemma":0.00030070505,"threshold_uncertainty_score":0.99983174},"labels":[],"label_agreement":null},{"id":"W2938118719","doi":"10.4171/jems/1166","title":"Semi-local simple connectedness of non-collapsing Ricci limit spaces","year":2022,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Contractible space; Limit (mathematics); Social connectedness; Simple (philosophy); Space (punctuation); Pure mathematics; Combinatorics; Ricci flow; Simply connected space; Mathematical analysis; Ricci curvature; Geometry","score_opus":0.026068498577054983,"score_gpt":0.26796733042068194,"score_spread":0.24189883184362695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2938118719","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8795478,0.00026745428,0.103261925,0.0012743814,0.00045105006,0.00029190787,0.000017846409,0.00003006009,0.014857571],"genre_scores_gemma":[0.9898782,0.0000115582325,0.008765192,0.00017134193,0.00021093395,0.000001596005,7.446309e-7,0.000045456392,0.0009149717],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967477,0.00064193684,0.0010601819,0.00015084332,0.0011231657,0.00027621936],"domain_scores_gemma":[0.9968453,0.0009831518,0.0013428153,0.00044002212,0.0002697912,0.00011892825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0041995677,0.00019932992,0.0006867321,0.00007018945,0.00036504053,0.000062568455,0.00092134374,0.000045031207,0.0006356473],"category_scores_gemma":[0.0010611992,0.000121573146,0.0012402893,0.0011390352,0.00014934897,0.000099348326,0.0005923574,0.00072951685,0.000010026493],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024662798,0.0074975914,0.002893623,0.0028921876,0.0062819407,0.00021631435,0.045221876,0.011360895,0.016689407,0.06350701,0.8301913,0.013001185],"study_design_scores_gemma":[0.008165133,0.0017600309,0.006941519,0.0012036591,0.005931187,0.0018079969,0.11505601,0.069448836,0.0055890726,0.7268372,0.05506681,0.0021925038],"about_ca_topic_score_codex":0.0000016719932,"about_ca_topic_score_gemma":4.5408305e-7,"teacher_disagreement_score":0.77512455,"about_ca_system_score_codex":0.00012518729,"about_ca_system_score_gemma":0.0000718014,"threshold_uncertainty_score":0.6959892},"labels":[],"label_agreement":null},{"id":"W2938170851","doi":"10.1017/s0017089515000105","title":"HYPERSURFACES IN P<sup>2</sup> AND H<sup>2</sup> WITH TWO DISTINCT PRINCIPAL CURVATURES","year":2015,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Hypersurface; Mathematics; Principal curvature; Combinatorics; Constant (computer programming); Principal (computer security); Pure mathematics; Geometry; Mean curvature; Curvature","score_opus":0.03929305667207791,"score_gpt":0.2926236780712223,"score_spread":0.2533306213991444,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2938170851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9822813,0.00068348844,0.0089241825,0.0007264178,0.000049965707,0.00035098512,0.000011479755,0.00008357763,0.0068885856],"genre_scores_gemma":[0.95538795,0.000035762747,0.042978097,0.00011547608,0.00038766302,0.000021970112,0.0000065286017,0.00007821452,0.000988346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955988,0.0003175942,0.0011540193,0.0005362384,0.001493133,0.0009002228],"domain_scores_gemma":[0.99680156,0.0010071251,0.00041711205,0.0005553331,0.0003599417,0.00085894624],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0026446416,0.0005927338,0.0012189331,0.00049116736,0.00022912571,0.00051864295,0.0005482509,0.00025685522,0.00043265367],"category_scores_gemma":[0.0027607023,0.00038156632,0.0002300894,0.0011227649,0.00027767228,0.00049752236,0.000216346,0.001324438,0.00011487994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003619699,0.013298639,0.2787539,0.0040676184,0.005919767,0.006315361,0.099007815,0.045686383,0.00016084006,0.44307688,0.06623911,0.033854004],"study_design_scores_gemma":[0.014589689,0.0014212091,0.0040186304,0.0017243787,0.0015555006,0.008420146,0.022252448,0.20009738,0.00009367916,0.7305265,0.012630285,0.002670133],"about_ca_topic_score_codex":0.000016548209,"about_ca_topic_score_gemma":0.000039317496,"teacher_disagreement_score":0.28744966,"about_ca_system_score_codex":0.00015803044,"about_ca_system_score_gemma":0.00020446145,"threshold_uncertainty_score":0.9998636},"labels":[],"label_agreement":null},{"id":"W2941492623","doi":"10.1007/s12220-019-00327-8","title":"A Gradient Flow of Isometric $$\\mathrm {G}_2$$-Structures","year":2019,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Balanced flow; Singularity; Gravitational singularity; Mean curvature flow; Subsequence; Flow (mathematics); Torsion (gastropod); Compact space; Curvature","score_opus":0.018100690305375755,"score_gpt":0.2720286685203626,"score_spread":0.25392797821498686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2941492623","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92895645,0.0045119934,0.06408663,0.000098003155,0.00039144317,0.00015744165,0.000018294759,0.00001661026,0.0017631159],"genre_scores_gemma":[0.97767216,0.00042877093,0.02042146,0.000041957435,0.00016953774,0.0000013944571,0.000006687694,0.000029204999,0.00122885],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9948389,0.00016107861,0.0021365688,0.0003473668,0.0020459325,0.00047015675],"domain_scores_gemma":[0.99308157,0.0013558915,0.0030493557,0.00079845276,0.0014353868,0.0002793541],"candidate_categories":["metaepi_narrow","bibliometrics","insufficient_payload"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.002451227,0.00036265326,0.002358532,0.025454568,0.00006922265,0.000079107405,0.00085703627,0.00022920695,0.0026874621],"category_scores_gemma":[0.0032180331,0.00025912607,0.002768723,0.06853046,0.00006090664,0.00031438062,0.00011616458,0.0005280533,0.000038178932],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038604293,0.0031515996,0.78434116,0.00088801025,0.05772215,0.00016384992,0.0015234868,0.03673884,0.0006628145,0.012502188,0.02026166,0.08165822],"study_design_scores_gemma":[0.009801229,0.0048031746,0.73456216,0.0002912118,0.098771,0.0004978996,0.0067212037,0.03938809,0.003060899,0.0766519,0.022214958,0.0032362787],"about_ca_topic_score_codex":0.00004459902,"about_ca_topic_score_gemma":0.00001022995,"teacher_disagreement_score":0.07842194,"about_ca_system_score_codex":0.0001647103,"about_ca_system_score_gemma":0.00010792437,"threshold_uncertainty_score":0.9999861},"labels":[],"label_agreement":null},{"id":"W2942174818","doi":"10.1007/s00220-019-03430-7","title":"Boundary Harmonic Coordinates on Manifolds with Boundary in Low Regularity","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Boundary (topology); Ricci curvature; Ricci-flat manifold; Mathematical analysis; Manifold (fluid mechanics); Harmonic coordinates; Curvature; Riemannian manifold; Pure mathematics; Scalar curvature; Geometry","score_opus":0.041519436757334716,"score_gpt":0.3109477351148916,"score_spread":0.2694282983575569,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2942174818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91644806,0.0005418084,0.008965435,0.0018832,0.000059535985,0.0012340603,0.00001398175,0.00014125872,0.07071269],"genre_scores_gemma":[0.9743142,0.000054816013,0.024347654,0.00013792401,0.00002144032,0.000092646376,0.00003179382,0.000045418197,0.00095410465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980374,0.00022357272,0.0006065636,0.00033478058,0.0004331598,0.00036454972],"domain_scores_gemma":[0.9951112,0.0014678288,0.00019800615,0.0030419272,0.000110954235,0.000070059716],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085995,0.00027471496,0.0006406904,0.00023411155,0.00014073802,0.00013902913,0.001194834,0.0001465329,0.00019080934],"category_scores_gemma":[0.00029503595,0.00022478808,0.00013433,0.0016355563,0.00026515932,0.0002419877,0.00035620184,0.0008358513,0.00035654014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038743656,0.003251257,0.004349009,0.000437272,0.00008667749,0.0000062540307,0.00082402746,0.000095869036,0.000059288654,0.98770785,0.0006797201,0.0024640195],"study_design_scores_gemma":[0.000889296,0.00011438769,0.0051224437,0.000737598,0.00005644606,0.00000519826,0.00049798115,0.014287565,0.00009806133,0.9767701,0.0010571401,0.00036377902],"about_ca_topic_score_codex":0.000012525577,"about_ca_topic_score_gemma":0.000063499254,"teacher_disagreement_score":0.06975859,"about_ca_system_score_codex":0.00019973771,"about_ca_system_score_gemma":0.00010554266,"threshold_uncertainty_score":0.9166592},"labels":[],"label_agreement":null},{"id":"W2944400092","doi":"10.4153/s0008439518000693","title":"Yamabe Solitons and Ricci Solitons on Almost co-Kähler Manifolds","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Unicode; Manifold (fluid mechanics); Ricci-flat manifold; Pure mathematics; Mathematical analysis; Mathematical physics; Geometry; Linguistics; Scalar curvature; Philosophy; Curvature; Engineering","score_opus":0.02026550712327935,"score_gpt":0.2658656627732178,"score_spread":0.24560015564993848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2944400092","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59454995,0.00015542445,0.0005514803,0.0090013165,0.00021070772,0.00089353044,0.00009592693,0.00012506604,0.39441663],"genre_scores_gemma":[0.9646982,0.000013438682,0.002485841,0.0019874277,0.00017751369,0.00003954701,0.000023767901,0.0000795905,0.030494684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9975421,0.00009080113,0.00052823976,0.000530149,0.00046452053,0.00084422453],"domain_scores_gemma":[0.99709153,0.00092880346,0.00012380237,0.00079182774,0.00009282254,0.00097118743],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006251649,0.0003800882,0.0006958202,0.0004207936,0.0001912264,0.00017243315,0.0003386413,0.00029765195,0.038983263],"category_scores_gemma":[0.0007566747,0.00031353257,0.00020989649,0.00041749515,0.00010157257,0.000042620417,0.000053700132,0.00042219678,0.027698088],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001505133,0.0002491065,0.00081895315,0.0003756761,0.00022839569,0.0000952709,0.00048032322,0.0000040993664,0.00006172087,0.6385022,0.35818893,0.0009802923],"study_design_scores_gemma":[0.0013172667,0.00032046065,0.0024758591,0.00036115418,0.00034478228,0.00012949063,0.0013963765,0.0007442839,0.00019839536,0.2414055,0.74998426,0.001322159],"about_ca_topic_score_codex":0.00042655875,"about_ca_topic_score_gemma":0.0005996756,"teacher_disagreement_score":0.3970967,"about_ca_system_score_codex":0.00016492943,"about_ca_system_score_gemma":0.0001456942,"threshold_uncertainty_score":0.9999317},"labels":[],"label_agreement":null},{"id":"W2946363963","doi":"10.1142/s0219887819501184","title":"Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections","year":2019,"lang":"en","type":"article","venue":"International Journal of Geometric Methods in Modern Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Space form; Complex space; Space (punctuation); Quarter (Canadian coin); Pure mathematics; Mathematics; Chen; Mathematical analysis; Theoretical physics; Physics; Computer science; Submanifold; Geology; History","score_opus":0.07277814132349347,"score_gpt":0.3854518590646481,"score_spread":0.3126737177411546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2946363963","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3144673,0.00026443443,0.68322754,0.0002389416,0.00018396734,0.00025199537,0.0000309279,0.0000079833435,0.0013269013],"genre_scores_gemma":[0.6985896,0.00007270101,0.30089647,0.00003398503,0.00012440111,0.0000087756935,0.000008252861,0.000027290771,0.0002385159],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972381,0.00015198207,0.001070373,0.00026712267,0.00096783537,0.00030459455],"domain_scores_gemma":[0.9932259,0.0034985205,0.0015204694,0.00028391764,0.0013628087,0.00010842111],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026554707,0.00027560885,0.00096486247,0.0027770684,0.000046203593,0.00009686488,0.00052060746,0.00012681722,0.000044525976],"category_scores_gemma":[0.001474723,0.00020155055,0.000330693,0.003089215,0.000066682245,0.00054070033,0.0000923941,0.00034605424,0.000001088402],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011588137,0.002120074,0.071655795,0.0009028277,0.0043555833,0.00002091854,0.0051822714,0.0058876886,0.003827897,0.71462,0.00074497133,0.18952316],"study_design_scores_gemma":[0.0076347864,0.0020882387,0.018350787,0.00036866122,0.0005768984,0.0001826908,0.008337388,0.03937554,0.0047004605,0.9150136,0.0025564793,0.0008144666],"about_ca_topic_score_codex":0.000046244444,"about_ca_topic_score_gemma":0.000022493063,"teacher_disagreement_score":0.3841223,"about_ca_system_score_codex":0.00016656547,"about_ca_system_score_gemma":0.000102319216,"threshold_uncertainty_score":0.82189924},"labels":[],"label_agreement":null},{"id":"W2948761833","doi":"10.3934/dcds.2019228","title":"Nondegeneracy of harmonic maps from $ {{\\mathbb{R}}^{2}} $ to $ {{\\mathbb{S}}^{2}} $","year":2019,"lang":"es","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Bounded function; Dimension (graph theory); Kernel (algebra); Harmonic map; Space (punctuation); Mathematics; Harmonic; Degree (music); Operator (biology); Energy (signal processing); Combinatorics; Physics; Mathematical analysis; Quantum mechanics; Computer science","score_opus":0.007800849770707915,"score_gpt":0.24005065234775233,"score_spread":0.23224980257704442,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2948761833","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9805758,0.0071715205,0.0035962851,0.00035589893,0.001037949,0.0015497176,0.0008821124,0.00008970517,0.004740991],"genre_scores_gemma":[0.9918657,0.000268926,0.00078143855,0.000113004724,0.00038520544,0.000064150365,0.00026266844,0.00011907325,0.0061398675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99462277,0.0003523639,0.0018571189,0.0011988778,0.0010644022,0.00090444303],"domain_scores_gemma":[0.9961279,0.0006994512,0.00088516437,0.0013865487,0.00032755992,0.0005733836],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00074843655,0.0008115425,0.0025925967,0.0004350732,0.00013073457,0.00057257,0.00075770443,0.00062347605,0.00026969993],"category_scores_gemma":[0.00025564324,0.0006681954,0.0006532126,0.0010917416,0.00011840347,0.00022361144,0.00044615526,0.00053295866,0.0003874731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015052345,0.0027868287,0.3168661,0.008511529,0.009726432,0.0002228381,0.0071417745,0.0008561775,0.059907954,0.5353605,0.019850327,0.03726426],"study_design_scores_gemma":[0.025748922,0.007571541,0.152877,0.021073356,0.014390939,0.00024308529,0.040467244,0.43475905,0.0029333925,0.023039179,0.26098758,0.015908709],"about_ca_topic_score_codex":0.0021396275,"about_ca_topic_score_gemma":0.000077599725,"teacher_disagreement_score":0.51232135,"about_ca_system_score_codex":0.000104843224,"about_ca_system_score_gemma":0.000072200935,"threshold_uncertainty_score":0.9995769},"labels":[],"label_agreement":null},{"id":"W2949075883","doi":"10.48550/arxiv.math/0001125","title":"Topological obstructions to nonnegative curvature","year":2000,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Sectional curvature; Mathematics; Curvature; Metric (unit); Pure mathematics; Construct (python library); Topology (electrical circuits); Riemann curvature tensor; Scalar curvature; Vector bundle; Ricci curvature; Mathematical analysis; Geometry; Combinatorics; Computer science; Engineering","score_opus":0.1179399700432206,"score_gpt":0.34947879174734425,"score_spread":0.23153882170412365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949075883","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9776512,0.0003355557,0.0022038582,0.0020968828,0.0008781931,0.0005206707,0.00007897088,0.00022298095,0.016011726],"genre_scores_gemma":[0.97936624,0.00008212739,0.010779661,0.0006464428,0.00093094993,0.00012740669,0.000079808226,0.000050593884,0.007936743],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99743986,0.00013473554,0.0006087884,0.0008828435,0.00044505112,0.0004887003],"domain_scores_gemma":[0.9977545,0.0003450148,0.0002636759,0.0011404209,0.00023105503,0.00026530665],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00027463067,0.0005081034,0.0008855187,0.00036514734,0.00021030415,0.00009280076,0.0006848238,0.00087098294,0.003960147],"category_scores_gemma":[0.0010411097,0.00040580484,0.00054631,0.0011078785,0.00009177641,0.00007396203,0.00058365904,0.0016835397,0.00081809296],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034610467,0.0033905408,0.53069896,0.0010218808,0.0066746124,0.00043516906,0.011963846,0.0043189335,0.00053171476,0.09343788,0.32350358,0.023676775],"study_design_scores_gemma":[0.0009156907,0.00031644196,0.44228512,0.0005052753,0.002067311,0.000052979944,0.0018363468,0.00026097757,0.0006956842,0.39980546,0.14827383,0.0029848896],"about_ca_topic_score_codex":0.00007473217,"about_ca_topic_score_gemma":0.0000846075,"teacher_disagreement_score":0.30636758,"about_ca_system_score_codex":0.00012486443,"about_ca_system_score_gemma":0.00008595168,"threshold_uncertainty_score":0.9999599},"labels":[],"label_agreement":null},{"id":"W2949175785","doi":"10.48550/arxiv.0807.1900","title":"Classification of Almost Quarter-Pinched Manifolds","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Diffeomorphism; Manifold (fluid mechanics); Mathematics; Rank (graph theory); Space (punctuation); Combinatorics; Pure mathematics; Geometry; Computer science; Geography; Engineering","score_opus":0.11104945284358217,"score_gpt":0.31489508413149014,"score_spread":0.20384563128790797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949175785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9865166,0.00035898312,0.003808782,0.0003556141,0.0003514948,0.00032406574,0.000024560975,0.000090835725,0.008169077],"genre_scores_gemma":[0.995595,0.00032674955,0.0020866087,0.00004475663,0.00026436066,0.000046130812,0.00014227409,0.00004539915,0.0014487279],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99765426,0.000111531466,0.00089085125,0.0005657709,0.00049838,0.00027920207],"domain_scores_gemma":[0.9970828,0.00021102106,0.00091640546,0.001357604,0.00033676624,0.000095387055],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00041375257,0.00035732807,0.0008264454,0.00035329268,0.00007649999,0.000025160643,0.0005562654,0.0005772154,0.0002904219],"category_scores_gemma":[0.00037500449,0.00032081894,0.000478227,0.00060748693,0.00007303163,0.00006758739,0.00026005917,0.0006017737,0.00018601299],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006323963,0.0018840275,0.89466274,0.0018352047,0.0019036002,0.000054576893,0.0032095273,0.00009071801,0.004753477,0.01259545,0.076071344,0.00287613],"study_design_scores_gemma":[0.0006167453,0.000105316736,0.9741315,0.00028335428,0.00080085057,0.000016281825,0.0008920677,0.0014556578,0.0012071496,0.013198655,0.006456773,0.0008356007],"about_ca_topic_score_codex":0.000077511264,"about_ca_topic_score_gemma":0.000030317357,"teacher_disagreement_score":0.07946884,"about_ca_system_score_codex":0.00008121793,"about_ca_system_score_gemma":0.000106801184,"threshold_uncertainty_score":0.99992436},"labels":[],"label_agreement":null},{"id":"W2949180716","doi":"10.48550/arxiv.1303.5884","title":"An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Sectional curvature; Hypersurface; Scalar curvature; Mathematics; Curvature; Curvature of Riemannian manifolds; Ricci curvature; Regular polygon; Riemannian manifold; Pure mathematics; Prescribed scalar curvature problem; Riemann curvature tensor; Mathematical analysis; Geometry","score_opus":0.08865083214925974,"score_gpt":0.23091339688811666,"score_spread":0.1422625647388569,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949180716","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9754888,0.00024135773,0.020560257,0.00008434982,0.0005128503,0.00090340566,0.00008062543,0.0001237823,0.0020046048],"genre_scores_gemma":[0.9905472,0.00009872566,0.0038354592,0.000080511054,0.00016942543,0.000007904844,0.00011206477,0.000067526016,0.0050812284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9974674,0.0001365157,0.00041340897,0.0012272862,0.00016295664,0.0005924479],"domain_scores_gemma":[0.99745953,0.0002767561,0.00042455792,0.0012467434,0.00034552725,0.0002469108],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000530626,0.0005640579,0.0009339382,0.00058905984,0.00015213287,0.00022769063,0.0010763835,0.00096468173,0.00061902276],"category_scores_gemma":[0.0001463517,0.00057882007,0.0004965139,0.0009095782,0.00012340347,0.00041419937,0.00038225067,0.0009021109,0.000070524125],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015842423,0.0053712665,0.036711972,0.0031616008,0.0040138927,0.0013440705,0.003910937,0.36236623,0.00026367125,0.5353411,0.04482145,0.0011096095],"study_design_scores_gemma":[0.00522771,0.00078007614,0.0067754216,0.0005663727,0.0028178354,0.00001182416,0.004707409,0.58649534,0.00016175733,0.36599502,0.0224959,0.0039653615],"about_ca_topic_score_codex":0.0002112119,"about_ca_topic_score_gemma":0.00031326068,"teacher_disagreement_score":0.2241291,"about_ca_system_score_codex":0.00021087214,"about_ca_system_score_gemma":0.0001434235,"threshold_uncertainty_score":0.99966633},"labels":[],"label_agreement":null},{"id":"W2949313940","doi":"10.48550/arxiv.1503.04826","title":"Convergence of regularized nonlocal interaction energies","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Fields Institute for Research in Mathematical Sciences; National Science Foundation","keywords":"Regularization (linguistics); Bounded function; Convergence (economics); Kernel (algebra); Balanced flow; Metric (unit); Mathematics; Applied mathematics; Space (punctuation); Physics; Mathematical analysis; Statistical physics; Pure mathematics; Computer science","score_opus":0.1689396169470012,"score_gpt":0.23604931205521829,"score_spread":0.0671096951082171,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949313940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.867768,0.000080985745,0.12719743,0.00002884271,0.0006437593,0.00017466155,0.000021020067,0.00008199762,0.004003307],"genre_scores_gemma":[0.99389124,0.00011606175,0.0014917717,0.000012280045,0.00007299481,6.142565e-7,0.000033068318,0.000019279869,0.004362706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986355,0.00014366,0.00033522403,0.00053658686,0.00015075221,0.00019832003],"domain_scores_gemma":[0.99775493,0.00018171978,0.00058178406,0.00080578966,0.000558914,0.00011686216],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004344368,0.00026282898,0.0006291595,0.00040720415,0.000042826956,0.000024673649,0.00053119735,0.00037200082,0.00028469856],"category_scores_gemma":[0.0002706466,0.00026899966,0.00036908005,0.00079276774,0.0001157016,0.00015117835,0.0005984072,0.00047098272,0.00003246787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008429325,0.0012622197,0.0072417785,0.0014370059,0.0029439763,0.00033940354,0.001516159,0.28887415,0.0008654593,0.66075236,0.032951705,0.00097286847],"study_design_scores_gemma":[0.0016541777,0.00014978438,0.00040034682,0.00040385226,0.0020045652,0.000008723728,0.0028848427,0.5764802,0.0019045772,0.41018546,0.0028414137,0.00108207],"about_ca_topic_score_codex":0.00020578226,"about_ca_topic_score_gemma":0.00005147317,"teacher_disagreement_score":0.28760606,"about_ca_system_score_codex":0.00016012703,"about_ca_system_score_gemma":0.00016053901,"threshold_uncertainty_score":0.9999762},"labels":[],"label_agreement":null},{"id":"W2949413637","doi":"10.48550/arxiv.1706.08841","title":"An Efficient Algorithm for Matrix-Valued and Vector-Valued Optimal Mass Transport","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Air Force Office of Scientific Research; National Center for Research Resources; National Institutes of Health; National Science Foundation","keywords":"Hessian matrix; Cholesky decomposition; Mathematics; Matrix (chemical analysis); Algorithm; Solver; Mathematical optimization; Applied mathematics; Computer science","score_opus":0.07571493847113418,"score_gpt":0.24774623409123384,"score_spread":0.17203129562009967,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949413637","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3892465,0.00010933819,0.60914314,0.000014054155,0.00026047,0.00059481844,0.0001762314,0.00010450822,0.00035092255],"genre_scores_gemma":[0.93553776,0.0000652673,0.06128759,0.000011077992,0.00020159148,0.0000053056606,0.00013953165,0.00006418725,0.0026876978],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9975869,0.00010179049,0.0003631189,0.001250326,0.00019592162,0.0005019146],"domain_scores_gemma":[0.99721986,0.00013091209,0.00055261754,0.0014735203,0.00031265622,0.00031042538],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00078275736,0.0005271662,0.00092243706,0.00044303396,0.0004028139,0.00014538501,0.0009477061,0.0005988195,0.00008200967],"category_scores_gemma":[0.000093087736,0.0005454644,0.0005690962,0.00032236514,0.00016183594,0.00014676455,0.0001983582,0.00054822105,0.000010406804],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00092321145,0.0030261877,0.0053611044,0.0028158,0.0052252198,0.0013662615,0.002337218,0.52377146,0.00028464498,0.44553465,0.0016422494,0.00771197],"study_design_scores_gemma":[0.0014621384,0.0001484813,0.0010847907,0.000094286595,0.0018129332,0.0000041034655,0.00031802736,0.9743039,0.000054839784,0.019614734,0.0003572988,0.0007444687],"about_ca_topic_score_codex":0.00009896869,"about_ca_topic_score_gemma":0.000025920792,"teacher_disagreement_score":0.54785556,"about_ca_system_score_codex":0.00014198756,"about_ca_system_score_gemma":0.00014895643,"threshold_uncertainty_score":0.9996997},"labels":[],"label_agreement":null},{"id":"W2949804450","doi":"10.48550/arxiv.1209.1165","title":"Minimal immersions of compact bordered Riemann surfaces with free boundary","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Sigma; Boundary (topology); Compact Riemann surface; Pure mathematics; Submanifold; Homomorphism; Minimal surface; Combinatorics; Riemannian manifold; Mathematical analysis; Dimension (graph theory); Immersion (mathematics); Riemann surface; Physics","score_opus":0.09550731881264042,"score_gpt":0.21916401249408954,"score_spread":0.12365669368144912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949804450","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9792403,0.00048336064,0.0100525,0.0000819889,0.0001813878,0.0003075493,0.00017146867,0.00007334889,0.009408077],"genre_scores_gemma":[0.9956463,0.00010640004,0.0014861907,0.000014528068,0.00006495811,3.5982688e-7,0.0000650826,0.00003980975,0.0025763598],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99820167,0.0001470256,0.00035656348,0.00062366703,0.00022589833,0.00044519818],"domain_scores_gemma":[0.9968829,0.0003671018,0.000713502,0.0014785973,0.0003280583,0.00022981998],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00038386797,0.00043603196,0.0009306724,0.00044541058,0.0001686264,0.000048173813,0.0009964914,0.0003824285,0.0005389633],"category_scores_gemma":[0.00014505678,0.00038839734,0.00044154093,0.0011374205,0.00028569906,0.00020435265,0.00065645855,0.00066378934,0.000028323522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0026488532,0.008041948,0.39880767,0.005306513,0.018042112,0.00089442596,0.0061472994,0.111107565,0.0006698805,0.33904275,0.1088167,0.00047425542],"study_design_scores_gemma":[0.019839656,0.0021771996,0.22597316,0.0040671024,0.03713919,0.00008927541,0.03067345,0.094209984,0.0026847937,0.53689075,0.034145493,0.012109974],"about_ca_topic_score_codex":0.00043024085,"about_ca_topic_score_gemma":0.00027254695,"teacher_disagreement_score":0.19784796,"about_ca_system_score_codex":0.0001071388,"about_ca_system_score_gemma":0.00023208598,"threshold_uncertainty_score":0.99985677},"labels":[],"label_agreement":null},{"id":"W2950189998","doi":"10.48550/arxiv.1211.6227","title":"On the degeneracy of optimal transportation","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Degeneracy (biology); Degenerate energy levels; Curvature; Quadratic equation; Transportation theory; Upper and lower bounds; Mathematical optimization; Mathematics; Applied mathematics; Physics; Mathematical analysis; Geometry; Quantum mechanics","score_opus":0.12390503476148797,"score_gpt":0.2104792961322488,"score_spread":0.08657426137076084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950189998","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9438144,0.000059699636,0.05364786,0.0000444052,0.00014311208,0.00018548737,0.000034612607,0.000029004446,0.0020414277],"genre_scores_gemma":[0.99797386,0.00005412387,0.00054318784,0.000027420832,0.00006450746,7.9469066e-7,0.000035988884,0.000017411996,0.0012827293],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99906,0.00009215933,0.00022567275,0.0003183029,0.00011696581,0.00018691724],"domain_scores_gemma":[0.99835265,0.00040031451,0.0003821976,0.0006564367,0.0001433348,0.00006509886],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003460821,0.00020585835,0.0003356683,0.00019318782,0.000070254166,0.000014032274,0.00044642558,0.0002255599,0.00048438512],"category_scores_gemma":[0.00010205935,0.00015791952,0.00036301094,0.00056427106,0.00005896706,0.000070434304,0.00006129248,0.00041759168,0.000030134734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046593213,0.00025555925,0.0015128391,0.000111446934,0.00033356342,0.000013352936,0.00045717775,0.074239135,0.00003409194,0.9213335,0.0015389981,0.00012376266],"study_design_scores_gemma":[0.0018073804,0.00023585897,0.021199863,0.00054239156,0.0066142706,0.000002392236,0.0027657163,0.084511094,0.0027183276,0.8754103,0.0021688875,0.0020234983],"about_ca_topic_score_codex":0.000055173048,"about_ca_topic_score_gemma":0.00003678249,"teacher_disagreement_score":0.054159448,"about_ca_system_score_codex":0.000048672264,"about_ca_system_score_gemma":0.000045917768,"threshold_uncertainty_score":0.64397717},"labels":[],"label_agreement":null},{"id":"W2950241882","doi":"10.48550/arxiv.1701.06546","title":"Interaction energy between vortices of vector fields on Riemannian surfaces","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Vortex; Vector field; Tangent; Limit (mathematics); Physics; Mathematical physics; Order (exchange); Unit vector; Zero (linguistics); Surface (topology); Field (mathematics); Mathematics; Velocity vector; Tangent vector; Mathematical analysis; Classical mechanics; Pure mathematics; Geometry","score_opus":0.14670672084002676,"score_gpt":0.24825549053167564,"score_spread":0.10154876969164889,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950241882","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97539556,0.000055679404,0.014839203,0.000076346565,0.00042130778,0.00009940368,0.000032651613,0.000050656974,0.009029214],"genre_scores_gemma":[0.9950894,0.0001342621,0.00012960547,0.000012527197,0.00016081383,4.78502e-7,0.000029713423,0.00001923415,0.004423964],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870235,0.00011210438,0.0002960467,0.0005500065,0.00013619599,0.00020331967],"domain_scores_gemma":[0.99724627,0.00044799483,0.00095088413,0.0010723659,0.00018761003,0.00009489363],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00024934296,0.00027504764,0.00063858303,0.00035921534,0.00012832007,0.00006688634,0.0007377666,0.00043355144,0.0001719519],"category_scores_gemma":[0.00028947523,0.00026983253,0.00038351462,0.00026666417,0.0000760917,0.00016046109,0.00039490664,0.0004875446,0.000017992317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000740366,0.002075888,0.15998133,0.0028715157,0.009509248,0.0005039425,0.002328974,0.1684349,0.00013634328,0.62774163,0.015122072,0.0105537865],"study_design_scores_gemma":[0.002672086,0.0010872862,0.08686517,0.0026672143,0.008251388,0.000003569995,0.0020317186,0.09369197,0.0047990815,0.7728711,0.021489099,0.003570363],"about_ca_topic_score_codex":0.0007754759,"about_ca_topic_score_gemma":0.00044959068,"teacher_disagreement_score":0.14512941,"about_ca_system_score_codex":0.0000767729,"about_ca_system_score_gemma":0.000056111407,"threshold_uncertainty_score":0.9999754},"labels":[],"label_agreement":null},{"id":"W2950268697","doi":"10.48550/arxiv.math/0605496","title":"Coordinate neighborhoods of arcs and the approximation of maps into (almost) complex manifolds","year":2006,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Pure mathematics; Geometry","score_opus":0.054794132515949286,"score_gpt":0.29124850796862484,"score_spread":0.23645437545267556,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950268697","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9761479,0.0009306043,0.014503877,0.00049968535,0.00013177593,0.00062589307,0.00004543832,0.000035533303,0.007079317],"genre_scores_gemma":[0.993402,0.000101131576,0.0056338655,0.00003866854,0.00009852205,0.00003514264,0.00015344749,0.000033530523,0.00050368096],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978142,0.00019995253,0.0009645663,0.000383168,0.00042892294,0.00020919678],"domain_scores_gemma":[0.99713504,0.0004679173,0.0011416243,0.0008813445,0.00032733145,0.000046735895],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010932335,0.00032747586,0.0010623977,0.00025902374,0.000078873934,0.00003398729,0.0004650468,0.00030686453,0.0000812479],"category_scores_gemma":[0.0003779194,0.00022293719,0.00033855077,0.00054032553,0.00027535003,0.000058936545,0.0005959173,0.00043204,0.0000058971523],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003892949,0.0014625852,0.62376165,0.010361315,0.0029899543,0.000013763305,0.0054868725,0.0006378951,0.0018521426,0.32143292,0.021871602,0.009740014],"study_design_scores_gemma":[0.003605058,0.00013648439,0.40674815,0.00058272056,0.0023396944,0.000012019817,0.0009646232,0.013230074,0.0018099111,0.5676107,0.0020534596,0.0009071204],"about_ca_topic_score_codex":0.0006526306,"about_ca_topic_score_gemma":0.00007094548,"teacher_disagreement_score":0.24617778,"about_ca_system_score_codex":0.000036401776,"about_ca_system_score_gemma":0.00004543907,"threshold_uncertainty_score":0.90911144},"labels":[],"label_agreement":null},{"id":"W2950439060","doi":"10.48550/arxiv.0708.2938","title":"Neck Pinching Dynamics Under Mean Curvature Flow","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Curvature; Surface of revolution; Motion (physics); Flow (mathematics); Mean curvature flow; Dynamics (music); Point (geometry); Process (computing); Mechanics; Geometry; Mathematics; Classical mechanics; Physics; Mathematical analysis; Mean curvature; Surface (topology); Computer science; Acoustics","score_opus":0.0684180996347859,"score_gpt":0.317639614499591,"score_spread":0.2492215148648051,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950439060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86565924,0.001486433,0.11902319,0.0008832605,0.0017796273,0.000525963,0.00006797222,0.00038717032,0.010187142],"genre_scores_gemma":[0.9639766,0.00018831728,0.02797433,0.0008185433,0.0012327355,0.000025470405,0.0005037156,0.00017965696,0.005100628],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962778,0.00012915242,0.0009742709,0.0010587769,0.00076136884,0.0007986207],"domain_scores_gemma":[0.9964506,0.00039869008,0.00069460244,0.0018438062,0.00034309478,0.00026918095],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.0012047612,0.00079778564,0.0011843,0.0006421191,0.00023852571,0.00019133269,0.0010336527,0.0013971188,0.00044072443],"category_scores_gemma":[0.00064042915,0.0007027604,0.00083371776,0.001143754,0.00007753821,0.00014498424,0.0010828499,0.0030750462,0.00019338375],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023361438,0.0036373388,0.7095763,0.0054704156,0.012569337,0.00054730213,0.008010045,0.020634636,0.00022306187,0.11797428,0.08742516,0.033698488],"study_design_scores_gemma":[0.0033003702,0.00026656067,0.23108608,0.0028672956,0.007139186,0.000104197934,0.004249023,0.25051066,0.0002870452,0.44822115,0.043624625,0.008343793],"about_ca_topic_score_codex":0.00014341858,"about_ca_topic_score_gemma":0.0012163938,"teacher_disagreement_score":0.47849023,"about_ca_system_score_codex":0.0004281571,"about_ca_system_score_gemma":0.00015634205,"threshold_uncertainty_score":0.99989927},"labels":[],"label_agreement":null},{"id":"W2950607767","doi":"10.48550/arxiv.1610.04552","title":"Generically Mane set supports uniquely ergodic measure for residual cohomology class","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Ergodic theory; Measure (data warehouse); Mathematics; Cohomology; Class (philosophy); Lagrangian; Combinatorics; Residual; Set (abstract data type); Discrete mathematics; Pure mathematics; Computer science; Algorithm; Data mining; Artificial intelligence","score_opus":0.1337718087293722,"score_gpt":0.23531072794626284,"score_spread":0.10153891921689065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950607767","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49328172,0.0002524608,0.49095207,0.0011807258,0.00096930505,0.0015446264,0.0005732952,0.0004270294,0.010818759],"genre_scores_gemma":[0.979819,0.00011868931,0.0023922462,0.00015142052,0.00023822248,0.000008369967,0.00019246589,0.000075813645,0.017003777],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970089,0.0003190891,0.0004970606,0.0012988064,0.00021117256,0.0006649675],"domain_scores_gemma":[0.9964476,0.0006589192,0.0006482292,0.0013469897,0.00061329774,0.00028492988],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00091813586,0.00055433926,0.0010345039,0.0005547365,0.00017814973,0.000055931738,0.00097608665,0.0010666434,0.00047503365],"category_scores_gemma":[0.00050659775,0.00049784174,0.00065434753,0.00060366554,0.00019586047,0.00008949846,0.0007360868,0.0006628762,0.000067784975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006736046,0.00056911854,0.008018372,0.0008816596,0.002797078,0.0013158643,0.0002526914,0.0031339761,0.00022555466,0.7115994,0.26974955,0.00078310625],"study_design_scores_gemma":[0.0019422174,0.0002935175,0.0010147325,0.00020837242,0.0024808021,0.000040562536,0.00019166459,0.004044454,0.00023047396,0.96295005,0.025176516,0.0014266152],"about_ca_topic_score_codex":0.0000419825,"about_ca_topic_score_gemma":0.00023093753,"teacher_disagreement_score":0.48855984,"about_ca_system_score_codex":0.00032089232,"about_ca_system_score_gemma":0.000410891,"threshold_uncertainty_score":0.99974734},"labels":[],"label_agreement":null},{"id":"W2950644529","doi":"10.1139/cjp-2012-0262","title":"Modified Ricci flow and asymptotically nonflat spaces","year":2012,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Physics; Ricci flow; Flow (mathematics); Space (punctuation); Work (physics); Stability theory; Mathematical analysis; Mathematical physics; Ricci curvature; Mechanics; Geometry; Mathematics; Nonlinear system; Thermodynamics","score_opus":0.03320161236614454,"score_gpt":0.2521003446741624,"score_spread":0.21889873230801787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950644529","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95426965,0.0020598446,0.035818826,0.0007915777,0.00062118424,0.000094784664,0.000014765477,0.000008589772,0.006320759],"genre_scores_gemma":[0.9920457,0.000014903882,0.0067578256,0.00010881046,0.00080548285,4.270821e-7,9.831706e-7,0.000015531192,0.00025035618],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990842,0.000037230784,0.0002641,0.000068515714,0.00020550785,0.00034044255],"domain_scores_gemma":[0.99850154,0.00014584641,0.000195056,0.00014131461,0.00020066848,0.0008155824],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004101071,0.00012195866,0.0003033162,0.00015993402,0.00009381463,0.00008698021,0.00013820565,0.000073854724,0.00007546709],"category_scores_gemma":[0.00030329765,0.00009705607,0.00012831618,0.00037074494,0.00005437375,0.0002861984,0.00001011641,0.00024608546,0.000010825728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037607646,0.00037893772,0.07728353,0.0002548578,0.0016486275,0.00016666896,0.010062455,0.001366193,0.0004895897,0.72114825,0.07852039,0.10864288],"study_design_scores_gemma":[0.0052147335,0.0009687773,0.07993837,0.00065471977,0.0043810653,0.0010150601,0.0047059837,0.01761462,0.0022329947,0.74162364,0.13850881,0.0031412565],"about_ca_topic_score_codex":0.00018491197,"about_ca_topic_score_gemma":0.0008057004,"teacher_disagreement_score":0.10550163,"about_ca_system_score_codex":0.00005555872,"about_ca_system_score_gemma":0.00022892536,"threshold_uncertainty_score":0.3957832},"labels":[],"label_agreement":null},{"id":"W2950655538","doi":"10.48550/arxiv.1205.5474","title":"Contracting the boundary of a Riemannian 2-disc","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Geodesic; Boundary (topology); Mathematics; SPHERES; Point (geometry); Combinatorics; Geometry; Mathematical analysis; Physics","score_opus":0.12239698097477306,"score_gpt":0.2233078806512985,"score_spread":0.10091089967652545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950655538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93995047,0.00066625763,0.037384816,0.0001488773,0.0005019512,0.00041683047,0.0000369607,0.00008320268,0.020810626],"genre_scores_gemma":[0.9963688,0.00007431787,0.00034680252,0.00003541568,0.00017988929,7.9918163e-7,0.000012574847,0.00002565417,0.0029557243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985843,0.00017632719,0.0003322935,0.0004247101,0.00014350633,0.00033886844],"domain_scores_gemma":[0.9972718,0.00061030546,0.0007443219,0.0010502635,0.00021380716,0.00010955115],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008166717,0.00028174612,0.0005748799,0.00021934231,0.00019592707,0.000056106684,0.0007591643,0.0003155341,0.00031348172],"category_scores_gemma":[0.0003666161,0.00021873324,0.0005127466,0.00073539803,0.00017898773,0.00014532238,0.00064965093,0.00083199865,0.000036866506],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022325527,0.0014603361,0.040753093,0.0015251496,0.004406198,0.0002302353,0.0049996288,0.012543181,0.00012256483,0.9202488,0.010725186,0.0027623381],"study_design_scores_gemma":[0.0022999598,0.00011587729,0.018444981,0.0008089726,0.008877557,0.000028770917,0.009988718,0.041065976,0.00034497867,0.88277215,0.03292968,0.0023223958],"about_ca_topic_score_codex":0.00015794851,"about_ca_topic_score_gemma":0.00009575269,"teacher_disagreement_score":0.056418344,"about_ca_system_score_codex":0.00008649781,"about_ca_system_score_gemma":0.00012012355,"threshold_uncertainty_score":0.89196825},"labels":[],"label_agreement":null},{"id":"W2950689518","doi":"10.48550/arxiv.1408.5534","title":"Sagitta, Lenses, and Maximal Volume","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Upper and lower bounds; Mathematics; Invariant (physics); Diffeomorphism; Sectional curvature; RADIUS; Combinatorics; Scalar curvature; Mathematical analysis; Curvature; Geometry; Mathematical physics","score_opus":0.08262759739616769,"score_gpt":0.19532587127988987,"score_spread":0.11269827388372218,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950689518","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87544584,0.00020528611,0.11308622,0.000084977495,0.0002866717,0.00022455415,0.000024818317,0.00014883741,0.010492782],"genre_scores_gemma":[0.97851866,0.00017970205,0.0009181895,0.00005387057,0.0001471143,5.997234e-7,0.000024113122,0.0000337199,0.020124033],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983392,0.00011868774,0.00024255608,0.00084712834,0.00011579144,0.00033666217],"domain_scores_gemma":[0.99831825,0.0001503907,0.00030611182,0.0008770442,0.00016450477,0.000183704],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00037208432,0.000359975,0.0006267285,0.0003727803,0.00012637372,0.000095475654,0.00046866637,0.00045346655,0.00035995926],"category_scores_gemma":[0.00020761421,0.0003780581,0.00029468484,0.0004945274,0.00012228008,0.00010311178,0.0008024759,0.0006554885,0.00012644578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023601028,0.00086385995,0.11643162,0.0019453256,0.0026821105,0.001386197,0.0007799283,0.013100317,0.000042543874,0.7692651,0.08583761,0.0074293506],"study_design_scores_gemma":[0.0016284656,0.00017226106,0.019905476,0.00026552225,0.0027212228,0.000036567926,0.000517627,0.2131882,0.000025048645,0.7254934,0.033956975,0.0020892762],"about_ca_topic_score_codex":0.00015246744,"about_ca_topic_score_gemma":0.00010403589,"teacher_disagreement_score":0.20008789,"about_ca_system_score_codex":0.000086367865,"about_ca_system_score_gemma":0.00005866448,"threshold_uncertainty_score":0.99986714},"labels":[],"label_agreement":null},{"id":"W2950736391","doi":"10.48550/arxiv.0908.4460","title":"The Ma-Trudinger-Wang curvature for natural mechanical actions","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Curvature; Anharmonicity; Hamiltonian (control theory); Action (physics); Mathematics; Quartic function; Harmonic oscillator; Mathematical analysis; Mathematical physics; Physics; Pure mathematics; Geometry; Quantum mechanics; Mathematical optimization","score_opus":0.14419355649305968,"score_gpt":0.245932770992679,"score_spread":0.10173921449961931,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950736391","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3374448,0.0031344949,0.6291317,0.004717826,0.006723364,0.0039445655,0.000249524,0.0011157565,0.013537946],"genre_scores_gemma":[0.98424745,0.00034898185,0.002180885,0.00010536163,0.00040197626,0.0000045806564,0.000052635034,0.000036814763,0.012621289],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99808127,0.00012961234,0.0003166934,0.0008045746,0.00016337198,0.00050449936],"domain_scores_gemma":[0.996993,0.0010063832,0.0004303864,0.0010687573,0.00035821358,0.00014325813],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006297548,0.00041245742,0.00055166584,0.0002591447,0.00067049224,0.00018198966,0.0010111191,0.0006098931,0.00005275734],"category_scores_gemma":[0.00067755446,0.00032436437,0.00091405935,0.00097513234,0.00007482039,0.00013610936,0.00045716375,0.0014067943,0.000024719639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012746894,0.00017361964,0.000066349094,0.000114433096,0.0008751053,0.000038777398,0.0000718778,0.0020945303,0.000044693017,0.95821065,0.036228,0.0019544899],"study_design_scores_gemma":[0.0006535046,0.00006980392,0.00021579275,0.000112753245,0.0016543498,0.000006392318,0.00047819616,0.053076066,0.00008833653,0.8911948,0.051736034,0.0007139464],"about_ca_topic_score_codex":0.000017675384,"about_ca_topic_score_gemma":0.00018533114,"teacher_disagreement_score":0.64680266,"about_ca_system_score_codex":0.0002451198,"about_ca_system_score_gemma":0.00011982861,"threshold_uncertainty_score":0.99992085},"labels":[],"label_agreement":null},{"id":"W2950755429","doi":"10.48550/arxiv.math/0411648","title":"Riesz transform and $L^p$ cohomology for manifolds with Euclidean ends","year":2004,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Cohomology; Riemannian manifold; Bounded function; De Rham cohomology; Heat kernel; Riesz transform; Pure mathematics; Kernel (algebra); Manifold (fluid mechanics); Degree (music); Injective function; Combinatorics; Mathematical analysis; Equivariant cohomology; Physics","score_opus":0.06098431194110107,"score_gpt":0.3001460325335828,"score_spread":0.23916172059248172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950755429","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9385124,0.00076841615,0.053075448,0.0012378244,0.00025209246,0.00094581745,0.000077942,0.0001328592,0.0049972166],"genre_scores_gemma":[0.9894802,0.00017265542,0.0070830337,0.0001841615,0.00023417114,0.00018251379,0.00011359129,0.000078780366,0.0024709061],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980335,0.00003703681,0.0005216253,0.00069265516,0.00026014866,0.00045503821],"domain_scores_gemma":[0.99842906,0.0002844681,0.00030047947,0.00065035874,0.00019273855,0.0001428716],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00047703923,0.00046641481,0.0009417372,0.0002820385,0.00014182006,0.00006540905,0.00032714338,0.0005763558,0.00014969253],"category_scores_gemma":[0.00015414215,0.0003576145,0.00028404224,0.00030616543,0.00013138694,0.00007150393,0.00014930753,0.0005871256,0.000014515909],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012351203,0.002472044,0.6602822,0.012156169,0.011560753,0.00050652603,0.010659161,0.00064165174,0.0002679594,0.26278976,0.013072038,0.024356617],"study_design_scores_gemma":[0.0091093285,0.0021432878,0.13823134,0.0011363581,0.007675096,0.0003505705,0.0018553169,0.0006273563,0.0018063098,0.77569556,0.05748789,0.0038815653],"about_ca_topic_score_codex":0.00011240219,"about_ca_topic_score_gemma":0.00046315487,"teacher_disagreement_score":0.52205086,"about_ca_system_score_codex":0.00008863397,"about_ca_system_score_gemma":0.0001523569,"threshold_uncertainty_score":0.9998876},"labels":[],"label_agreement":null},{"id":"W2951246964","doi":"10.48550/arxiv.1005.2162","title":"On the local structure of optimal measures in the multi-marginal optimal transportation problem","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dimension (graph theory); Mathematical optimization; Transportation theory; Order (exchange); Mathematics; Function (biology); Marginal cost; Computer science; Economics; Combinatorics; Microeconomics","score_opus":0.07810135610943518,"score_gpt":0.21239439835513127,"score_spread":0.1342930422456961,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951246964","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85458034,0.000021170354,0.14444607,0.00010810543,0.00007557091,0.0004625879,0.00006664763,0.000019732004,0.00021976716],"genre_scores_gemma":[0.99664366,0.00002021754,0.0030478463,0.000037225127,0.000036780155,0.0000016978964,0.000043226977,0.000020195168,0.00014915496],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9983846,0.00023162074,0.0003390749,0.0005183011,0.00026926928,0.0002571529],"domain_scores_gemma":[0.9981122,0.00046619077,0.00041238067,0.0007668999,0.00019203375,0.000050291634],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060296035,0.0003254487,0.00044564027,0.00029823897,0.000108716,0.000040758547,0.0010146624,0.0004246091,0.00014500783],"category_scores_gemma":[0.000118678676,0.00020413143,0.00034081968,0.0008652611,0.00020346846,0.00007559476,0.00006961333,0.0016937432,0.000004373658],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001791298,0.000385959,0.0015692052,0.00016818216,0.00026292092,0.00007535809,0.0021875997,0.7310645,0.00013128493,0.26336196,0.0003011506,0.00031272328],"study_design_scores_gemma":[0.004768701,0.0005835173,0.04891823,0.00082729664,0.00375313,0.000015919673,0.015039389,0.6096576,0.0016830615,0.3110941,0.0012756696,0.0023834354],"about_ca_topic_score_codex":0.0001908337,"about_ca_topic_score_gemma":0.00139482,"teacher_disagreement_score":0.1420633,"about_ca_system_score_codex":0.00005964154,"about_ca_system_score_gemma":0.000106198815,"threshold_uncertainty_score":0.8324238},"labels":[],"label_agreement":null},{"id":"W2951269968","doi":"10.48550/arxiv.math/0512552","title":"Lengths of geodesics between two points on a Riemannian manifold","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Geodesic; Conjecture; Riemannian manifold; Diffeomorphism; Mathematics; Combinatorics; Torsion (gastropod); Dimension (graph theory); Manifold (fluid mechanics); Pure mathematics; Geodesic map; Mathematical analysis","score_opus":0.12291433281510672,"score_gpt":0.3514225621422516,"score_spread":0.22850822932714487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951269968","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9860458,0.00024709586,0.0016613343,0.00068755815,0.0002700717,0.0004386112,0.0000925802,0.00011358421,0.0104434015],"genre_scores_gemma":[0.991893,0.00008815169,0.0040264903,0.00020117927,0.0010149747,0.000029138166,0.000098097444,0.00009363614,0.0025553307],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9966898,0.00014980463,0.0010909721,0.00078474544,0.00077711575,0.000507549],"domain_scores_gemma":[0.99633765,0.00058226846,0.0009476975,0.0016868737,0.00026083915,0.00018467427],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00096506637,0.00058878947,0.0013662498,0.00051776983,0.00008896308,0.00004896933,0.00086349476,0.0005707726,0.0004906655],"category_scores_gemma":[0.00068775925,0.0005245197,0.00071760354,0.0006065583,0.000059478916,0.00007794344,0.00061081146,0.0012710533,0.0003992364],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000071153474,0.0014067333,0.936201,0.0014692184,0.0032711932,0.00006840106,0.0016097708,0.00046492164,0.000085769985,0.027342591,0.016129542,0.011879725],"study_design_scores_gemma":[0.00352035,0.0005173725,0.81508255,0.0023579586,0.005533884,0.000011130031,0.00056734704,0.00085584586,0.004664056,0.13241073,0.031000527,0.0034782311],"about_ca_topic_score_codex":0.00012061971,"about_ca_topic_score_gemma":0.000076091,"teacher_disagreement_score":0.12111842,"about_ca_system_score_codex":0.00012952604,"about_ca_system_score_gemma":0.00010782618,"threshold_uncertainty_score":0.99972063},"labels":[],"label_agreement":null},{"id":"W2951372199","doi":"10.48550/arxiv.math/0702196","title":"Shock waves for the Burgers equation and curvatures of diffeomorphism groups","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Diffeomorphism; Shock (circulatory); Burgers' equation; Shock wave; Mathematics; Physics; Mathematical physics; Pure mathematics; Mathematical analysis; Mechanics; Partial differential equation; Medicine","score_opus":0.130085470156475,"score_gpt":0.32700852083987697,"score_spread":0.19692305068340196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951372199","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92349946,0.0037163817,0.07063966,0.00059156754,0.00050443277,0.0007219323,0.000041200426,0.000039809445,0.00024556482],"genre_scores_gemma":[0.99558413,0.00047547847,0.002553611,0.00012846393,0.0003840527,0.00006747473,0.00007368232,0.000040495568,0.0006926109],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99824184,0.000055142278,0.0006153454,0.00041714206,0.00038715976,0.0002833956],"domain_scores_gemma":[0.99617445,0.002183088,0.0006305909,0.0007017213,0.00024184913,0.00006828786],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011932143,0.00031685937,0.0006490203,0.0002586741,0.0001364219,0.00004714339,0.00035020662,0.00042888676,0.0000584492],"category_scores_gemma":[0.0013685225,0.00020673033,0.00037930923,0.00034600915,0.00012527347,0.000055604763,0.00028240113,0.0005161697,0.0000032597507],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000525217,0.0015167693,0.7333392,0.006752493,0.0076420456,0.000022071676,0.009788395,0.0009593743,0.0039010404,0.1323676,0.06185508,0.041330732],"study_design_scores_gemma":[0.00177807,0.00023866403,0.68587554,0.000688361,0.0043823975,0.000009761752,0.0020780168,0.0119859055,0.0034469706,0.27511087,0.012812382,0.0015930941],"about_ca_topic_score_codex":0.000066273395,"about_ca_topic_score_gemma":0.000038775797,"teacher_disagreement_score":0.14274327,"about_ca_system_score_codex":0.000036082693,"about_ca_system_score_gemma":0.000033420427,"threshold_uncertainty_score":0.8430218},"labels":[],"label_agreement":null},{"id":"W2951387923","doi":"10.48550/arxiv.0711.3851","title":"The curvature homogeneity bound for Lorentzian four-manifolds","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneity (statistics); Curvature; Mathematics; Pure mathematics; Physics; Mathematical analysis; Geometry; Statistics","score_opus":0.12354297000625586,"score_gpt":0.3397071189770677,"score_spread":0.21616414897081182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951387923","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9653478,0.0052406047,0.020299807,0.0015104885,0.002536181,0.0014606186,0.00013028843,0.00020445578,0.003269704],"genre_scores_gemma":[0.9838628,0.0005113528,0.0034944785,0.00040656736,0.002127688,0.00021348636,0.00019430122,0.00013794233,0.009051396],"study_design_codex":"observational","study_design_gemma":"not_applicable","domain_scores_codex":[0.9964849,0.00011362588,0.0009106643,0.0008985575,0.0007099729,0.00088229385],"domain_scores_gemma":[0.9952189,0.0012494843,0.00077902287,0.0019761338,0.00055705087,0.00021946068],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002262639,0.0006691758,0.0009024692,0.0002770819,0.00072171533,0.0003228397,0.001339655,0.0010426623,0.0001207153],"category_scores_gemma":[0.0015283776,0.00045718913,0.0011302222,0.00074253406,0.0001445917,0.000086796914,0.0007516719,0.0014299339,0.00010028634],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038632628,0.0014797162,0.49245855,0.0026371232,0.008338803,0.00013735516,0.001747584,0.0001863203,0.00034663323,0.07039819,0.39842546,0.023457931],"study_design_scores_gemma":[0.0014286165,0.00019978001,0.14989382,0.00036882004,0.0032377501,0.000027140746,0.0006385382,0.00075463066,0.0012056088,0.21333328,0.62669146,0.002220548],"about_ca_topic_score_codex":0.00008609565,"about_ca_topic_score_gemma":0.0009417505,"teacher_disagreement_score":0.34256473,"about_ca_system_score_codex":0.00017360426,"about_ca_system_score_gemma":0.00018533762,"threshold_uncertainty_score":0.999788},"labels":[],"label_agreement":null},{"id":"W2951394529","doi":"10.48550/arxiv.1508.02673","title":"Dynamics of Optimal Partial Transport","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Korea Advanced Institute of Science and Technology","keywords":"Lipschitz continuity; Lambda; Function (biology); Boundary (topology); Dynamics (music); Quadratic equation; Mass transport; Unit (ring theory); Mathematics; Mathematical analysis; Quadratic function; Physics; Applied mathematics; Geometry; Quantum mechanics","score_opus":0.10272052187617572,"score_gpt":0.21470331843895193,"score_spread":0.11198279656277621,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951394529","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81385565,0.00004428122,0.18049936,0.000035234207,0.00021096699,0.0001857388,0.0001068159,0.000068335336,0.00499361],"genre_scores_gemma":[0.9949588,0.000050329658,0.0014598717,0.0000067474593,0.000076450735,4.7525296e-7,0.00012067395,0.000027436401,0.0032991767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985788,0.00007069241,0.0003552569,0.000566698,0.00016239719,0.00026614885],"domain_scores_gemma":[0.9981316,0.000087875866,0.00043557896,0.0008177336,0.00035679564,0.00017042822],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004455908,0.00029427608,0.00070969696,0.0003311339,0.000040926734,0.000013032463,0.0006227635,0.00044501212,0.00022118766],"category_scores_gemma":[0.00008970427,0.00030997425,0.00049388397,0.00077906554,0.00011020361,0.00008940708,0.00027564482,0.00052699505,0.000019560643],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022826421,0.0007801769,0.016993184,0.0006038187,0.0013059902,0.00037484823,0.00056019606,0.37662697,0.0000065749105,0.60002655,0.002236368,0.0002570477],"study_design_scores_gemma":[0.0013229677,0.00014614139,0.0007858448,0.00016686591,0.0029316067,0.0000049026935,0.001106275,0.6878953,0.00007727937,0.3036971,0.0008555286,0.0010101872],"about_ca_topic_score_codex":0.00012293042,"about_ca_topic_score_gemma":0.00015904695,"teacher_disagreement_score":0.31126833,"about_ca_system_score_codex":0.00015551056,"about_ca_system_score_gemma":0.00021089421,"threshold_uncertainty_score":0.9999352},"labels":[],"label_agreement":null},{"id":"W2951455525","doi":"10.4153/cjm-2011-080-6","title":"Rectifiability of Optimal Transportation Plans","year":2011,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto; National Science Foundation","keywords":"Mathematics; Lipschitz continuity; Transportation theory; Simple (philosophy); Mathematical optimization; Almost everywhere; Manifold (fluid mechanics); Applied mathematics; Mathematical analysis","score_opus":0.06970939229351714,"score_gpt":0.2528178935089823,"score_spread":0.18310850121546518,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951455525","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96991587,0.000096137584,0.027051365,0.000035341305,0.00016122637,0.000089747125,0.000044511522,0.0000048722763,0.0026009216],"genre_scores_gemma":[0.9046771,0.0000055317582,0.09516523,0.00000913569,0.00003732082,8.234765e-7,0.0000018634221,0.000013968923,0.00008900743],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986183,0.000037669255,0.00084938254,0.00007582886,0.00023558919,0.00018319766],"domain_scores_gemma":[0.9981943,0.00018490721,0.0006798338,0.00023659626,0.0004083458,0.00029605255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010477346,0.00011370063,0.00043446844,0.00036424948,0.000042693468,0.000012207997,0.00025311706,0.00009653423,0.00055620295],"category_scores_gemma":[0.0007127881,0.00009152902,0.00023261401,0.00041559714,0.00007157413,0.00012234316,0.000001855537,0.00018628858,0.000004114287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017776722,0.0034966157,0.15580131,0.0049365996,0.003882206,0.00088993355,0.25037822,0.0007836822,0.0012805287,0.5327842,0.032148074,0.013440803],"study_design_scores_gemma":[0.0032125255,0.001978178,0.09072604,0.0013456022,0.0043479977,0.00070510653,0.0548765,0.00177995,0.021386214,0.8107548,0.007179492,0.0017076272],"about_ca_topic_score_codex":0.000645025,"about_ca_topic_score_gemma":0.0087810755,"teacher_disagreement_score":0.27797052,"about_ca_system_score_codex":0.00004975567,"about_ca_system_score_gemma":0.00037384316,"threshold_uncertainty_score":0.60900325},"labels":[],"label_agreement":null},{"id":"W2951776250","doi":"10.48550/arxiv.1002.0373","title":"A Generalization of Caffarelli's Contraction Theorem via (reverse) Heat Flow","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of British Columbia","funders":"","keywords":"Mathematics; Gaussian measure; Contraction (grammar); Isoperimetric inequality; Measure (data warehouse); Inverse; Gaussian; Mathematical analysis; Pure mathematics; Geometry; Physics; Computer science","score_opus":0.057156631229843186,"score_gpt":0.20358298436833486,"score_spread":0.14642635313849167,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951776250","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44674695,0.00007392418,0.54994684,0.000036650305,0.00055680453,0.0003195464,0.00003605126,0.00008256512,0.0022006324],"genre_scores_gemma":[0.99515015,0.00026044084,0.0025628663,0.000033168777,0.00016001172,0.0000010212732,0.00011303208,0.00003544944,0.0016838354],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99842286,0.000157893,0.0003712509,0.0006313694,0.00016192981,0.00025467406],"domain_scores_gemma":[0.99788284,0.00019118712,0.0004554765,0.0009031251,0.00044779535,0.00011956723],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00042716623,0.0003359569,0.00064085063,0.00046737754,0.00010176608,0.00003263987,0.00044143893,0.0007267527,0.00059280015],"category_scores_gemma":[0.00017778535,0.000343086,0.00046890945,0.00084522343,0.000099291516,0.00015233738,0.00025398884,0.00075215026,0.000030233263],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028153133,0.0011281264,0.0040302766,0.00089789584,0.0017321564,0.00016486146,0.0007405525,0.51974577,0.0037887506,0.4601855,0.005200485,0.0021041236],"study_design_scores_gemma":[0.0009324359,0.000062518855,0.00049542275,0.00012590233,0.0016502341,0.000007681339,0.00025722513,0.7370312,0.0013790671,0.25531524,0.0020310457,0.0007119754],"about_ca_topic_score_codex":0.00040754853,"about_ca_topic_score_gemma":0.00033754876,"teacher_disagreement_score":0.5484032,"about_ca_system_score_codex":0.00012729286,"about_ca_system_score_gemma":0.000093992196,"threshold_uncertainty_score":0.9999021},"labels":[],"label_agreement":null},{"id":"W2951902714","doi":"10.48550/arxiv.1502.04969","title":"Numerical Methods for the 2-Hessian Elliptic Partial Differential Equation","year":2015,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Hessian matrix; Elliptic partial differential equation; Partial differential equation; Mathematical analysis; Hessian equation; Convexity; Curvature; Elliptic curve; First-order partial differential equation; Applied mathematics; Geometry","score_opus":0.25495496901709414,"score_gpt":0.42518265031863806,"score_spread":0.17022768130154392,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951902714","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07885577,0.00071798806,0.9167978,0.0008938393,0.001567131,0.00074590184,0.000012501566,0.000088279376,0.00032075576],"genre_scores_gemma":[0.96103716,0.00004308196,0.03521019,0.000087976485,0.0017749071,0.0004076752,0.000113303635,0.000068732064,0.0012569719],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99749756,0.00040153624,0.00068395986,0.0005812062,0.00041499903,0.00042073763],"domain_scores_gemma":[0.996242,0.0017119389,0.0005500641,0.0010428268,0.0003015584,0.00015159752],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001699325,0.00039751717,0.0007801652,0.00014400184,0.00019312964,0.0001460266,0.0006583365,0.0004670746,0.0003985598],"category_scores_gemma":[0.0026202435,0.00025298377,0.00063249655,0.00038566918,0.00006459171,0.00006084968,0.00035781148,0.0007449452,0.00009424283],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012944312,0.0060588354,0.106231436,0.004762156,0.018810999,0.000030187066,0.013635429,0.013431393,0.0021026367,0.16320986,0.14968303,0.5207496],"study_design_scores_gemma":[0.002149089,0.0002958209,0.021317454,0.00024155393,0.008320355,0.0000070304927,0.0006829009,0.67472285,0.0019969791,0.22444296,0.06380436,0.002018649],"about_ca_topic_score_codex":0.000043750162,"about_ca_topic_score_gemma":0.0000059043477,"teacher_disagreement_score":0.8821814,"about_ca_system_score_codex":0.00010162353,"about_ca_system_score_gemma":0.00014318404,"threshold_uncertainty_score":0.99999225},"labels":[],"label_agreement":null},{"id":"W2952409049","doi":"10.1515/crelle-2015-0110","title":"The space of compact self-shrinking solutions to the Lagrangian mean curvature flow in ℂ2{\\mathbb{C}^{2}}","year":2016,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mean curvature flow; Lagrangian; Mathematics; Mean curvature; Curvature; Geometry; Mathematical analysis","score_opus":0.029060073320858637,"score_gpt":0.30111396645111355,"score_spread":0.2720538931302549,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952409049","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4172141,0.122809276,0.21152781,0.2191492,0.0049996264,0.0033662955,0.0001623388,0.0004072176,0.020364136],"genre_scores_gemma":[0.95315146,0.018224558,0.020876024,0.0002955528,0.0024397948,0.000017087497,0.0000026453745,0.00019380408,0.0047990815],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9947844,0.0005943322,0.001784185,0.00032623013,0.0014496126,0.0010612176],"domain_scores_gemma":[0.99382305,0.0024976616,0.0016261463,0.0008656186,0.00071711134,0.00047039965],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.006498466,0.00055032916,0.0010576847,0.0007733478,0.0015666764,0.0006035144,0.0014055934,0.00022469247,0.00017305945],"category_scores_gemma":[0.0020101513,0.00023270442,0.00093865383,0.0016786349,0.00013336776,0.00043581912,0.00021544783,0.0014407487,0.000055768687],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010708143,0.004544382,0.0043084435,0.0010673897,0.013501763,0.0012823503,0.058219314,0.004330657,0.014608783,0.22216702,0.5739275,0.10097154],"study_design_scores_gemma":[0.00535933,0.0008404417,0.0017626565,0.006252487,0.0024692158,0.004175842,0.009444346,0.0028602844,0.002755584,0.34325844,0.6191005,0.0017208497],"about_ca_topic_score_codex":0.000019226425,"about_ca_topic_score_gemma":0.00076991285,"teacher_disagreement_score":0.53593737,"about_ca_system_score_codex":0.00033530843,"about_ca_system_score_gemma":0.00020073728,"threshold_uncertainty_score":0.99973315},"labels":[],"label_agreement":null},{"id":"W2952415241","doi":"10.48550/arxiv.1410.8456","title":"Lengths of three simple periodic geodesics on a Riemannian $2$-sphere","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Geodesic; Simple (philosophy); Mathematics; SPHERES; Mathematical proof; Minimax; Combinatorics; Mathematical analysis; Pure mathematics; Geometry; Physics","score_opus":0.10435886243363728,"score_gpt":0.21494023964797918,"score_spread":0.1105813772143419,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952415241","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89512366,0.000072741124,0.09284543,0.000044017885,0.00019399067,0.00034821013,0.000051934014,0.0001106858,0.011209341],"genre_scores_gemma":[0.9971337,0.00006380791,0.0005937202,0.000055819954,0.00012616816,0.0000011988346,0.000041200576,0.000049286504,0.001935098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979362,0.00014051479,0.0004223459,0.000877295,0.00022747059,0.00039619015],"domain_scores_gemma":[0.9968156,0.00041978044,0.0006849883,0.001612877,0.00028933882,0.00017741087],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00047151075,0.000475284,0.0009754776,0.00036856128,0.0001413887,0.000052919142,0.00093001063,0.0005709039,0.0006526904],"category_scores_gemma":[0.00034492966,0.00047136462,0.0006991372,0.00088677276,0.00015445385,0.00007907736,0.00059722643,0.00083255244,0.000105575484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003194084,0.001314096,0.025509534,0.0020631405,0.002226296,0.00027679454,0.0007738257,0.17565504,0.000028426568,0.7738721,0.014084455,0.0038769064],"study_design_scores_gemma":[0.0016528413,0.00040748995,0.0050737327,0.00048307914,0.0022560672,0.0000036951724,0.0007348418,0.16662128,0.000109462766,0.8111153,0.0099816555,0.0015605146],"about_ca_topic_score_codex":0.00018998743,"about_ca_topic_score_gemma":0.00045346975,"teacher_disagreement_score":0.10201005,"about_ca_system_score_codex":0.00013908549,"about_ca_system_score_gemma":0.00014894687,"threshold_uncertainty_score":0.9997738},"labels":[],"label_agreement":null},{"id":"W2952587785","doi":"10.48550/arxiv.1008.4419","title":"Optimal transportation, topology and uniqueness","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Uniqueness; Countable set; Mathematics; Sequence (biology); Manifold (fluid mechanics); Function (biology); Graph; Topology (electrical circuits); Domain (mathematical analysis); Transportation theory; Discrete mathematics; Mathematical optimization; Combinatorics; Mathematical analysis","score_opus":0.06881849044092193,"score_gpt":0.2137538657666771,"score_spread":0.14493537532575518,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952587785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9203116,0.000057801877,0.07807375,0.00007940637,0.00021546433,0.00015986076,0.000030670966,0.000079265345,0.0009921738],"genre_scores_gemma":[0.99473554,0.00016209518,0.0027197984,0.000035547448,0.00006941959,9.07096e-7,0.000056284414,0.000021699658,0.0021987192],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881613,0.00006846635,0.00021254945,0.0006167488,0.000062218176,0.00022389708],"domain_scores_gemma":[0.9987613,0.00016188333,0.00022785646,0.00053859863,0.00018270932,0.00012764607],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00023305745,0.00025720222,0.0004525279,0.00029628765,0.000102448284,0.000036081554,0.00034819712,0.0006257409,0.00029372625],"category_scores_gemma":[0.00007160519,0.0002699329,0.0001836277,0.00044433828,0.00015217932,0.00008875162,0.00011532355,0.0007928252,0.000009640019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007014258,0.00022416773,0.013218088,0.00034899922,0.00050823233,0.00033795275,0.0006871076,0.019210141,0.00008538554,0.963929,0.0009854331,0.00039533395],"study_design_scores_gemma":[0.0017059206,0.00013253119,0.021025185,0.00013062714,0.0027826678,0.00001795169,0.0015388475,0.042829167,0.00042630063,0.9201981,0.007418091,0.0017946159],"about_ca_topic_score_codex":0.00016966615,"about_ca_topic_score_gemma":0.0005834023,"teacher_disagreement_score":0.07535395,"about_ca_system_score_codex":0.000033814238,"about_ca_system_score_gemma":0.00008154431,"threshold_uncertainty_score":0.99997526},"labels":[],"label_agreement":null},{"id":"W2952844098","doi":"10.1007/s00023-016-0483-8","title":"Bartnik’s Mass and Hamilton’s Modified Ricci Flow","year":2016,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Division of Mathematical Sciences; National Science Council; National Science Foundation","keywords":"Scalar curvature; Mathematics; Ricci flow; Diffeomorphism; Mathematical analysis; Ricci curvature; Curvature; Surface (topology); Yamabe flow; Sectional curvature; Mathematical physics; Pure mathematics; Geometry","score_opus":0.03635901499193888,"score_gpt":0.27566053804212,"score_spread":0.2393015230501811,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952844098","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87140024,0.0036123735,0.08679017,0.003995245,0.00036025164,0.00047923715,0.0000836632,0.00035699623,0.032921836],"genre_scores_gemma":[0.9784094,0.0005402898,0.00791148,0.0003447747,0.00023078463,0.00002234734,0.000007184056,0.000040703402,0.012493023],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99828404,0.00009078368,0.00038331305,0.00041834504,0.0003888869,0.00043463445],"domain_scores_gemma":[0.99852556,0.00045243467,0.00013144588,0.0005363701,0.00015014417,0.00020404559],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048585673,0.00026385637,0.00043617305,0.00024910798,0.00013638489,0.000068699585,0.00023027156,0.00015689249,0.00030772944],"category_scores_gemma":[0.00036076445,0.00016448773,0.00019379376,0.0004334334,0.00008795658,0.00021919288,0.00006764702,0.00013138677,0.00018449986],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029907518,0.00087832095,0.024719885,0.00061532174,0.0020371538,0.0002996748,0.0046696207,0.000045819957,0.014932649,0.22058685,0.48155022,0.24936542],"study_design_scores_gemma":[0.0053142915,0.00052180554,0.02393715,0.0004418886,0.0008761022,0.00013035031,0.0009285346,0.00876815,0.003210679,0.53520954,0.4181745,0.0024870066],"about_ca_topic_score_codex":0.000014715145,"about_ca_topic_score_gemma":0.00003857208,"teacher_disagreement_score":0.3146227,"about_ca_system_score_codex":0.00003519231,"about_ca_system_score_gemma":0.000031469262,"threshold_uncertainty_score":0.6707615},"labels":[],"label_agreement":null},{"id":"W2953016247","doi":"10.48550/arxiv.0711.3483","title":"Collapsing Manifolds with Boundary","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Boundary (topology); Manifold (fluid mechanics); Topology (electrical circuits); Bounded function; Sectional curvature; Limit (mathematics); Geodesic; Hausdorff space; Curvature; Mathematical analysis; Pure mathematics; Geometry; Scalar curvature; Combinatorics","score_opus":0.066075330373289,"score_gpt":0.3070747198342642,"score_spread":0.2409993894609752,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953016247","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9640304,0.0010328463,0.008867104,0.00021394916,0.00055672636,0.0003699708,0.000013242437,0.00019014026,0.024725655],"genre_scores_gemma":[0.9773905,0.00008605859,0.013005528,0.00028365763,0.00058392866,0.000025250143,0.000047576064,0.00009788554,0.008479578],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9974789,0.000065511806,0.00058486173,0.0006892038,0.0006629753,0.000518542],"domain_scores_gemma":[0.99763036,0.00028812056,0.00049377343,0.0011374846,0.00028753185,0.0001627489],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008549175,0.00048373354,0.0008215186,0.0004622571,0.00020804907,0.00019038141,0.0005018996,0.0005511805,0.00049421116],"category_scores_gemma":[0.0002833011,0.0003813384,0.00031209967,0.00092195184,0.00009565958,0.00008402585,0.0004825236,0.0010148847,0.00018566722],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019267148,0.0009653202,0.9201981,0.0018280394,0.0031181404,0.0008360295,0.0016731636,0.0002257705,0.00016594633,0.0060837753,0.060366336,0.004346697],"study_design_scores_gemma":[0.0037687474,0.0006720164,0.5357092,0.0032109125,0.0066974303,0.0002685717,0.0033204756,0.000868489,0.0021138384,0.105916105,0.33116207,0.006292121],"about_ca_topic_score_codex":0.00008775679,"about_ca_topic_score_gemma":0.00021336145,"teacher_disagreement_score":0.38448888,"about_ca_system_score_codex":0.00016640642,"about_ca_system_score_gemma":0.00023734478,"threshold_uncertainty_score":0.99986386},"labels":[],"label_agreement":null},{"id":"W2953060741","doi":"10.48550/arxiv.math/0201269","title":"Volume, diameter and the minimal mass of a stationary 1-cycle","year":2002,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Riemannian manifold; Bounded function; Manifold (fluid mechanics); Mathematics; Combinatorics; Ricci curvature; RADIUS; Volume (thermodynamics); Physics; Mathematical analysis; Geometry; Curvature; Thermodynamics","score_opus":0.05108750170328219,"score_gpt":0.273081674188647,"score_spread":0.2219941724853648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953060741","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9896684,0.0015127906,0.0045956867,0.0007103304,0.0001476395,0.00031562016,0.00005208678,0.000026267477,0.0029711677],"genre_scores_gemma":[0.98702216,0.0002629779,0.007057047,0.00010175644,0.00012616477,0.000047987774,0.000019778752,0.000027707962,0.0053344327],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.998502,0.00013646077,0.0005095577,0.0003346834,0.0003305435,0.00018676191],"domain_scores_gemma":[0.99811244,0.00064067455,0.00043206423,0.0006148411,0.00014714841,0.000052857733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005405881,0.00022391812,0.00059338944,0.000159704,0.00006201733,0.000035108944,0.0002893192,0.0002084227,0.00070178247],"category_scores_gemma":[0.0006277209,0.00014744364,0.0002776132,0.00028763298,0.0001834998,0.00005068294,0.00030847357,0.00041906416,0.0000408507],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020103756,0.0006721284,0.93019617,0.001735133,0.0025620898,0.000032588665,0.005483966,0.00026933666,0.000158167,0.007647318,0.04294946,0.008092619],"study_design_scores_gemma":[0.0043787872,0.0001809262,0.7268627,0.00040963004,0.0028052623,0.000015999165,0.0019900869,0.03687906,0.00022822773,0.21042114,0.014427774,0.0014003856],"about_ca_topic_score_codex":0.000055319797,"about_ca_topic_score_gemma":0.000010021308,"teacher_disagreement_score":0.20333344,"about_ca_system_score_codex":0.000018836427,"about_ca_system_score_gemma":0.00002660192,"threshold_uncertainty_score":0.76840264},"labels":[],"label_agreement":null},{"id":"W2953172344","doi":"10.48550/arxiv.0709.1118","title":"On the uniqueness of certain families of holomorphic disks","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Submanifold; Holomorphic function; Uniqueness; Mathematics; Geodesic; Metric (unit); Boundary (topology); Pure mathematics; Twistor theory; Injective function; Mathematical analysis; Economics","score_opus":0.13011230409566155,"score_gpt":0.331794768108923,"score_spread":0.20168246401326145,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953172344","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9920411,0.00027933117,0.002744596,0.00031504725,0.00017675219,0.00032497427,0.000038222246,0.000030212625,0.004049773],"genre_scores_gemma":[0.9983778,0.00018699742,0.0003475346,0.000113360766,0.00006523155,0.00002287873,0.000027384573,0.000035108245,0.00082370354],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9979771,0.00017839442,0.0007407373,0.00034837303,0.0005107776,0.00024461368],"domain_scores_gemma":[0.99599314,0.0015533232,0.0008055659,0.0012937727,0.00030487767,0.000049329792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013506269,0.00031165293,0.00082791643,0.00036859827,0.000054440276,0.000012700206,0.00070231734,0.00040306943,0.00022248822],"category_scores_gemma":[0.001373368,0.00019490432,0.0004438899,0.0007525371,0.00019239506,0.000022769973,0.00038285667,0.00072775426,0.000017733639],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024996302,0.0022580996,0.6821011,0.0034480495,0.0029904055,0.00004907617,0.004447027,0.0015026504,0.0018688445,0.28635916,0.009478608,0.0052470295],"study_design_scores_gemma":[0.0011436293,0.00043943184,0.58196574,0.0022424152,0.0021613252,0.000006500616,0.0051820395,0.00068301585,0.03563849,0.36584982,0.0030528447,0.0016347769],"about_ca_topic_score_codex":0.0002697626,"about_ca_topic_score_gemma":0.00007170523,"teacher_disagreement_score":0.10013535,"about_ca_system_score_codex":0.000037813264,"about_ca_system_score_gemma":0.00007885513,"threshold_uncertainty_score":0.7947967},"labels":[],"label_agreement":null},{"id":"W2953174351","doi":"10.48550/arxiv.math/0011061","title":"Some families of special Lagrangian tori","year":2000,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Submanifold; Mathematics; Torus; Manifold (fluid mechanics); Pure mathematics; Lagrangian; Calabi–Yau manifold; Metric (unit); Dimension (graph theory); Class (philosophy); Mathematical analysis; Topology (electrical circuits); Combinatorics; Geometry; Computer science","score_opus":0.052397106425373374,"score_gpt":0.2851029635287402,"score_spread":0.23270585710336683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953174351","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.977104,0.0011177268,0.000079400845,0.00017092553,0.0011257892,0.00024265698,0.000056350906,0.00007225233,0.020030877],"genre_scores_gemma":[0.98405313,0.001075667,0.0011896102,0.00009867364,0.006798462,0.000021468775,0.000075248725,0.000057202386,0.0066305352],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9978836,0.00007403138,0.0007124068,0.00048965897,0.0005063946,0.0003339187],"domain_scores_gemma":[0.99817365,0.00018372978,0.00041720632,0.0009840336,0.00014213043,0.00009922201],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003379907,0.0003750047,0.00096845574,0.00040637172,0.00006395406,0.000036337282,0.0005781829,0.0004978439,0.001692478],"category_scores_gemma":[0.00027233482,0.00032460902,0.0006345783,0.00052631914,0.000083422514,0.000086759035,0.00031106625,0.000643418,0.0002586095],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033472612,0.003664803,0.6027086,0.0048363456,0.0063903285,0.00020528273,0.012965341,0.0006308119,0.0009969864,0.08161786,0.24774992,0.037899036],"study_design_scores_gemma":[0.0021936852,0.0003005607,0.37255353,0.0010970862,0.0036771193,0.00001178264,0.002514581,0.00018043493,0.0034430148,0.36002967,0.25069833,0.003300182],"about_ca_topic_score_codex":0.00013986349,"about_ca_topic_score_gemma":0.00008917986,"teacher_disagreement_score":0.27841184,"about_ca_system_score_codex":0.000058219226,"about_ca_system_score_gemma":0.00009351838,"threshold_uncertainty_score":0.9999206},"labels":[],"label_agreement":null},{"id":"W2955910780","doi":"10.48550/arxiv.1503.08344","title":"On the behaviour of non-radial null geodesics in self-similar Tolman-Bondi collapse","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University; Perimeter Institute","funders":"","keywords":"Geodesic; Homothetic transformation; Physics; Integrable system; Singularity; Null (SQL); Mathematical physics; Classical mechanics; Vector field; Perfect fluid; Mechanics; Mathematical analysis; Mathematics; Geometry; Computer science","score_opus":0.0961939340440194,"score_gpt":0.2210448299559779,"score_spread":0.12485089591195851,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955910780","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98898137,0.00004148604,0.002100499,0.000091046066,0.00026850213,0.0005823156,0.000061255145,0.00005413184,0.007819424],"genre_scores_gemma":[0.9974912,0.00008393839,0.00041078433,0.000058155045,0.00007105723,0.0000025794752,0.000024704033,0.000037790778,0.0018198221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99800223,0.0002299376,0.00043624127,0.0006916022,0.00026520298,0.00037477282],"domain_scores_gemma":[0.9970864,0.00056122534,0.0005640442,0.0012986556,0.00033498125,0.00015470482],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010458899,0.00041188957,0.00080120587,0.00060873554,0.00008471799,0.00004343481,0.0010564046,0.0005452448,0.00017296926],"category_scores_gemma":[0.00034922065,0.00035364903,0.00042175548,0.0016157804,0.00009492941,0.000078007884,0.000563495,0.00096416695,0.000044396053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005937341,0.004765374,0.10111491,0.00080352224,0.0018993283,0.0012959307,0.0049943933,0.16497919,0.000028854678,0.63900405,0.080329716,0.00019100515],"study_design_scores_gemma":[0.0046023186,0.00058255484,0.015042831,0.0007321499,0.0039826054,0.000007857862,0.0037061933,0.20545533,0.00024354574,0.76149505,0.0017821033,0.0023674273],"about_ca_topic_score_codex":0.00030857584,"about_ca_topic_score_gemma":0.00042864023,"teacher_disagreement_score":0.12249104,"about_ca_system_score_codex":0.00036336933,"about_ca_system_score_gemma":0.00032906202,"threshold_uncertainty_score":0.9998916},"labels":[],"label_agreement":null},{"id":"W2955936886","doi":"10.1007/s00220-020-03713-4","title":"Geometrically Finite Poincaré–Einstein Metrics","year":2020,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Canada Research Chairs; Simons Foundation","keywords":"Einstein; Conformal map; Infinity; Construct (python library); Poincaré conjecture; Mathematics; Function (biology); Pure mathematics; Inverse; Mathematical analysis; Mathematical physics; Computer science; Geometry","score_opus":0.15913625584838442,"score_gpt":0.35216055470875124,"score_spread":0.19302429886036682,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955936886","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009079234,0.0011931023,0.8732798,0.0093354685,0.00005545851,0.00083946245,0.000029532224,0.0003691845,0.10581874],"genre_scores_gemma":[0.8151279,0.00017093663,0.18355213,0.0007734653,0.00009309405,0.000061610175,0.000028493563,0.00004880637,0.00014357785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99749166,0.00024381305,0.0009287954,0.00034969268,0.00060445373,0.000381584],"domain_scores_gemma":[0.9921964,0.004907633,0.0002680126,0.0021891298,0.00020636783,0.00023245461],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00076920993,0.00028119178,0.00072484754,0.00035761125,0.0001577704,0.000109472945,0.0019298743,0.00016458597,0.00019437766],"category_scores_gemma":[0.007948848,0.00025380193,0.0002897707,0.008611779,0.00018558926,0.0002398094,0.00083662843,0.00078898936,0.0004917973],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009311174,0.0014313948,0.0005282148,0.0002263481,0.00012466272,0.0000060216184,0.0011626527,0.0001666157,0.000048469028,0.96404713,0.0032187884,0.029030368],"study_design_scores_gemma":[0.00059172587,0.00007458709,0.00015838943,0.000067511624,0.00015593435,0.0000018968965,0.00041637142,0.12669745,0.000075691765,0.8626644,0.008680619,0.0004154292],"about_ca_topic_score_codex":0.000003620294,"about_ca_topic_score_gemma":0.0000033906679,"teacher_disagreement_score":0.80604863,"about_ca_system_score_codex":0.000086283995,"about_ca_system_score_gemma":0.000056946054,"threshold_uncertainty_score":0.9999914},"labels":[],"label_agreement":null},{"id":"W2962736964","doi":"10.1090/tran/7430","title":"Moduli spaces of meromorphic functions and determinant of the Laplacian","year":2017,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Collège de Maisonneuve; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Meromorphic function; Mathematics; Moduli space; Pure mathematics; Moduli; Laplace operator; Modular equation; Mathematical analysis; Moduli of algebraic curves; Algebra over a field","score_opus":0.027965289454808338,"score_gpt":0.28241656017183553,"score_spread":0.25445127071702717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962736964","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94676304,0.000035162004,0.050959814,0.0011943281,0.00005523249,0.00021203664,0.000040629624,0.000009875997,0.0007299036],"genre_scores_gemma":[0.99135494,0.000035596604,0.00780999,0.000016313694,0.000010453556,0.000009359854,1.4678578e-7,0.000011929239,0.00075126544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989014,0.00006285957,0.00040608094,0.000136574,0.00034957528,0.00014347008],"domain_scores_gemma":[0.99753934,0.0003697795,0.0009139514,0.0010245008,0.00010811852,0.00004428421],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036162388,0.00013017473,0.00053937227,0.000025260766,0.0004012277,0.000020831905,0.0005396408,0.000050100603,0.0000834336],"category_scores_gemma":[0.00026866907,0.00006875359,0.0006834412,0.00036439445,0.0016623461,0.000075237316,0.000053027947,0.00018541192,0.0000011140247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00067512394,0.023184711,0.117957376,0.020608874,0.02622381,0.0000044511144,0.08096013,0.0023779466,0.19505462,0.3104926,0.018552007,0.20390835],"study_design_scores_gemma":[0.003672874,0.0012426404,0.2745732,0.0020579745,0.013598585,0.000120063356,0.05226653,0.047012303,0.07528549,0.5272851,0.0011259451,0.0017592986],"about_ca_topic_score_codex":0.00013500504,"about_ca_topic_score_gemma":0.0000388691,"teacher_disagreement_score":0.21679248,"about_ca_system_score_codex":0.000013354581,"about_ca_system_score_gemma":0.00003137499,"threshold_uncertainty_score":0.61249834},"labels":[],"label_agreement":null},{"id":"W2962744940","doi":"10.1090/tran/7362","title":"Differential one-forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs","year":2017,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Science Foundation","keywords":"Mathematics; Ricci curvature; Metric (unit); Dirichlet distribution; Pure mathematics; Metric space; Curvature; Differential (mechanical device); Mathematical analysis; Geometry","score_opus":0.031177917124689616,"score_gpt":0.3015236235985801,"score_spread":0.2703457064738905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962744940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92748266,0.00002877983,0.06724789,0.0016065822,0.00007201366,0.0003138739,0.00003236931,0.0000641133,0.0031517192],"genre_scores_gemma":[0.9864622,0.00010285863,0.012877341,0.00009947303,0.000024624413,0.000024402932,9.543819e-7,0.000029160099,0.00037900428],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983196,0.000047627917,0.00039995427,0.00030033104,0.000628644,0.0003038222],"domain_scores_gemma":[0.9970115,0.0011172823,0.00061587954,0.0010698421,0.0000667883,0.00011873492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029274987,0.00027574625,0.0007614291,0.000117069554,0.0007466944,0.0001523885,0.000593336,0.00008255492,0.00026047885],"category_scores_gemma":[0.0004881263,0.00016231775,0.00079778477,0.0006421459,0.00091130723,0.00012049555,0.00004469525,0.00037989867,0.000014501332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006133577,0.016548026,0.008478639,0.0030893022,0.011755727,0.0000054129346,0.00760937,0.0008653615,0.0041424916,0.8201235,0.0084178755,0.11835097],"study_design_scores_gemma":[0.00167696,0.0011739688,0.059838757,0.00055030105,0.0032896942,0.000013914347,0.0030755105,0.014617268,0.008057241,0.90642554,0.00020826964,0.0010725884],"about_ca_topic_score_codex":0.00005811953,"about_ca_topic_score_gemma":0.0000074926343,"teacher_disagreement_score":0.11727838,"about_ca_system_score_codex":0.000034937046,"about_ca_system_score_gemma":0.00001670818,"threshold_uncertainty_score":0.66191256},"labels":[],"label_agreement":null},{"id":"W2962764398","doi":"10.4153/cmb-2011-144-8","title":"Semi-invariant Submersions from Almost Hermitian Manifolds","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":106,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Riemannian submersion; Totally geodesic; Pure mathematics; Hermitian matrix; Ricci-flat manifold; Submersion (mathematics); Hermitian manifold; Invariant (physics); Manifold (fluid mechanics); Mathematical analysis; Ricci curvature; Scalar curvature; Geometry; Mathematical physics","score_opus":0.050840170707728706,"score_gpt":0.23453496734917367,"score_spread":0.18369479664144497,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962764398","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23881294,0.00036074128,0.014288852,0.006276125,0.00037822523,0.00090286403,0.00030891472,0.0003024637,0.73836887],"genre_scores_gemma":[0.9702494,0.000010740569,0.018448792,0.0013225583,0.0001908399,0.00004516204,0.000044066895,0.000079367266,0.009609081],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976456,0.00010594103,0.0005984506,0.0004743113,0.0003841241,0.00079157116],"domain_scores_gemma":[0.99721587,0.0004548008,0.00013700034,0.0008345635,0.000114972005,0.0012427929],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00050756935,0.00034160167,0.00058080594,0.00032537204,0.00023022102,0.00008451985,0.00054663187,0.00030455235,0.1846418],"category_scores_gemma":[0.0010240033,0.00029501584,0.00028521425,0.0005655735,0.00010358604,0.000051628016,0.00007019115,0.00035434635,0.019836592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017379147,0.0004683773,0.00072544935,0.00013421594,0.0004997756,0.00090379466,0.0027232321,5.648441e-7,0.00007138723,0.6030688,0.38994044,0.0014465741],"study_design_scores_gemma":[0.00082725927,0.00010584041,0.0030515376,0.00028714398,0.0008022701,0.00010631674,0.0033760269,0.0004734592,0.00039176553,0.7763973,0.21282427,0.0013568469],"about_ca_topic_score_codex":0.009138217,"about_ca_topic_score_gemma":0.00830422,"teacher_disagreement_score":0.73143643,"about_ca_system_score_codex":0.0001619685,"about_ca_system_score_gemma":0.00017387321,"threshold_uncertainty_score":0.9999502},"labels":[],"label_agreement":null},{"id":"W2962797444","doi":"10.1017/s0956792518000633","title":"Simulation of multiphase porous media flows with minimising movement and finite volume schemes","year":2018,"lang":"en","type":"article","venue":"European Journal of Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Finite volume method; Porous medium; Scheme (mathematics); Partial differential equation; Stability (learning theory); Mathematics; Applied mathematics; Multiphase flow; Flow (mathematics); Volume (thermodynamics); Mechanics; Porosity; Computer science; Mathematical analysis; Geometry; Physics; Geology; Thermodynamics; Geotechnical engineering","score_opus":0.02967302109978317,"score_gpt":0.25840681255830694,"score_spread":0.22873379145852377,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962797444","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.636105,0.00009059536,0.35937968,0.00002679561,0.000049586833,0.0001426848,0.000004047756,0.000015195647,0.004186425],"genre_scores_gemma":[0.6668765,0.000009144415,0.33283156,0.00003926465,0.00016957526,3.9009427e-7,0.0000011601473,0.00003448721,0.000037908703],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9980471,0.00004861938,0.0010107971,0.00014507663,0.0005639388,0.00018447994],"domain_scores_gemma":[0.997069,0.000718248,0.0013341838,0.00028606402,0.00046776028,0.0001247266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015547492,0.00021110795,0.0005407394,0.00028228905,0.000074292395,0.00005159436,0.00020591437,0.000035499866,0.00009905518],"category_scores_gemma":[0.0007198562,0.0001477887,0.00008731695,0.00038510663,0.00011472751,0.00010285968,0.00006497065,0.00017853318,0.000011790547],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0049135694,0.015301024,0.0019324167,0.008781293,0.010787809,0.0013509087,0.24380884,0.1579541,0.06456902,0.09470585,0.011547261,0.38434792],"study_design_scores_gemma":[0.018731814,0.0047544637,0.0012853644,0.0030660261,0.0048815566,0.00018732536,0.024703402,0.81713283,0.020984527,0.089477986,0.012314035,0.00248068],"about_ca_topic_score_codex":2.64346e-7,"about_ca_topic_score_gemma":0.0000015475413,"teacher_disagreement_score":0.65917873,"about_ca_system_score_codex":0.000019221736,"about_ca_system_score_gemma":0.00002863671,"threshold_uncertainty_score":0.6026648},"labels":[],"label_agreement":null},{"id":"W2962814617","doi":"10.1016/j.jde.2016.04.020","title":"The motion of closed hypersurfaces in the central force fields","year":2016,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; Centre de Recherches Mathématiques","keywords":"Mathematics; Motion (physics); Degenerate energy levels; Constant (computer programming); Mathematical analysis; Surface (topology); Stability (learning theory); Function (biology); Cauchy problem; Cauchy distribution; Classical mechanics; Initial value problem; Physics; Geometry; Quantum mechanics","score_opus":0.03959005233631176,"score_gpt":0.2896933201769217,"score_spread":0.25010326784060993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962814617","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76183134,0.00010787692,0.23542373,0.0021489554,0.00019597473,0.000069886875,0.0000027434487,0.0000017791348,0.00021772],"genre_scores_gemma":[0.9993962,0.000063375075,0.00018520947,0.000012511755,0.00011331058,0.0000013913409,4.8980723e-7,0.0000035151802,0.00022397078],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988546,0.00014098117,0.00046803514,0.000044274573,0.00036899679,0.00012315817],"domain_scores_gemma":[0.99774814,0.0015238968,0.00041567007,0.0001463932,0.00014167755,0.000024231957],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049335614,0.000061114166,0.00016185205,0.00009693653,0.00008209871,0.00003259563,0.00025279247,0.000048309255,0.00008353847],"category_scores_gemma":[0.0011469775,0.000023033956,0.00018605955,0.00027026856,0.000035075995,0.00009821257,0.000013456252,0.00011881889,0.0000012823153],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038140998,0.0027205735,0.024329457,0.00011675079,0.0014340801,0.000012143817,0.0122211445,0.000638356,0.039145026,0.727541,0.011307855,0.1801522],"study_design_scores_gemma":[0.0060334834,0.00090303156,0.3361759,0.00044729968,0.0014983906,0.000029633075,0.0081344815,0.005982989,0.006071987,0.6325925,0.0016682418,0.00046207383],"about_ca_topic_score_codex":0.000008061241,"about_ca_topic_score_gemma":0.00012815963,"teacher_disagreement_score":0.3118464,"about_ca_system_score_codex":0.000020999292,"about_ca_system_score_gemma":0.000029183419,"threshold_uncertainty_score":0.1373122},"labels":[],"label_agreement":null},{"id":"W2962879248","doi":"10.1090/s0002-9939-2011-11113-4","title":"On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Holomorphic function; Mathematics; Sectional curvature; Isotropy; Curvature; Pure mathematics; Manifold (fluid mechanics); Mathematical analysis; Scalar curvature; Operator (biology); Geometry; Physics","score_opus":0.027667266005048163,"score_gpt":0.24799329293976818,"score_spread":0.22032602693472003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962879248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98506117,0.000023022032,0.00031999685,0.00029499893,0.000012377982,0.0003295144,0.000013049794,0.000037452624,0.01390844],"genre_scores_gemma":[0.9512264,0.000008918266,0.048160154,0.0002359318,0.000019582234,0.000020599153,6.7430807e-7,0.00003206718,0.00029564972],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981871,0.000018732133,0.00044027585,0.0003323254,0.00061423215,0.00040730915],"domain_scores_gemma":[0.9984566,0.00037294292,0.0006367688,0.0002147701,0.00023503373,0.00008390684],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044189303,0.000279398,0.00076704926,0.00006323112,0.000100656216,0.000036895086,0.000547977,0.0000767751,0.00013330003],"category_scores_gemma":[0.00031859954,0.00015760785,0.000335313,0.0015675464,0.0004668833,0.00014089792,0.00014751771,0.00040397551,0.000010751212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00055990415,0.003398256,0.060341295,0.0012023902,0.0013726325,0.000003826327,0.024551617,0.000010775539,0.0046426095,0.88856083,0.014970697,0.00038518358],"study_design_scores_gemma":[0.0017963814,0.002067315,0.15448348,0.0011521989,0.0009179206,0.00002903778,0.026148146,0.0035398633,0.0066469535,0.801864,0.00018714994,0.0011675043],"about_ca_topic_score_codex":0.00006450796,"about_ca_topic_score_gemma":0.0000064776154,"teacher_disagreement_score":0.09414219,"about_ca_system_score_codex":0.00007112278,"about_ca_system_score_gemma":0.000024920691,"threshold_uncertainty_score":0.64270616},"labels":[],"label_agreement":null},{"id":"W2962938750","doi":"10.48550/arxiv.1308.6545","title":"Second-order equations and local isometric immersions of\\n pseudo-spherical surfaces","year":2013,"lang":"","type":"article","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Isometric exercise; Mathematics; Order (exchange); Pure mathematics; Mathematical analysis; Physical therapy","score_opus":0.05550951525401046,"score_gpt":0.19326007906995393,"score_spread":0.13775056381594347,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962938750","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6726226,0.00069930754,0.32215813,0.00012609593,0.00013770573,0.00036473083,0.00002683082,0.000030044212,0.0038345137],"genre_scores_gemma":[0.98519856,0.0006763089,0.0022449915,0.00006287663,0.00003921004,0.0000011499617,0.000010971887,0.000035864028,0.0117300665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9973912,0.00024351077,0.00065206026,0.0008499716,0.00023575951,0.0006274695],"domain_scores_gemma":[0.99573857,0.0016765314,0.00054842,0.0007749457,0.00079479633,0.00046674346],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004010619,0.00045471938,0.00087656145,0.00097242964,0.00037290066,0.00010812627,0.00052502315,0.0004236946,0.014341931],"category_scores_gemma":[0.00061537756,0.0004650477,0.00037827707,0.010424556,0.00058854325,0.00075446576,0.00038440758,0.00050475565,0.0005271135],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024902087,0.008012083,0.08194995,0.0019529405,0.0070309057,0.00023657578,0.0039512403,0.119882934,0.0025327408,0.7298521,0.02336419,0.020985313],"study_design_scores_gemma":[0.0021873752,0.00048743747,0.013738648,0.000108579596,0.0020455732,0.000009976395,0.013626193,0.93898404,0.00019438329,0.025887428,0.0015915865,0.0011387991],"about_ca_topic_score_codex":0.00042801653,"about_ca_topic_score_gemma":0.00011009768,"teacher_disagreement_score":0.8191011,"about_ca_system_score_codex":0.00012755062,"about_ca_system_score_gemma":0.00016720574,"threshold_uncertainty_score":0.9997801},"labels":[],"label_agreement":null},{"id":"W2962969854","doi":"10.1515/crelle-2015-0100","title":"On dimensions of tangent cones in limit spaces with lower Ricci curvature bounds","year":2016,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ricci curvature; Tangent; Limit (mathematics); Mathematics; Curvature; Tangent cone; Mathematical analysis; Pure mathematics; Geometry","score_opus":0.023854766813428345,"score_gpt":0.29742948991770196,"score_spread":0.2735747231042736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962969854","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9599022,0.018360838,0.009728458,0.006353553,0.0006216266,0.00042645275,0.000027851827,0.00005409511,0.004524884],"genre_scores_gemma":[0.9716157,0.013014739,0.00792877,0.00015670728,0.00062153186,0.000010310774,0.0000021981703,0.00012857627,0.0065215076],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99572253,0.00026205185,0.0015160546,0.0003776806,0.0014008429,0.0007208654],"domain_scores_gemma":[0.994989,0.0013836556,0.0018873353,0.0005838732,0.00070404075,0.0004520903],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001867012,0.0005983929,0.0013609725,0.0012459288,0.00038754975,0.00030426917,0.00056345674,0.0002721736,0.00068897643],"category_scores_gemma":[0.0013850001,0.00026915685,0.00061690004,0.0011397838,0.00016893331,0.00047089867,0.000107141466,0.0011242008,0.000034907694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.010459469,0.027418612,0.028794874,0.003233752,0.027228102,0.017386174,0.02050105,0.0020928045,0.04745965,0.3111553,0.44557363,0.058696583],"study_design_scores_gemma":[0.01865435,0.0076425243,0.0017688966,0.021929413,0.0043137358,0.007943712,0.004870821,0.0004041221,0.011518731,0.7437875,0.17377861,0.0033875643],"about_ca_topic_score_codex":0.000007031078,"about_ca_topic_score_gemma":0.00010680061,"teacher_disagreement_score":0.43263224,"about_ca_system_score_codex":0.00023709821,"about_ca_system_score_gemma":0.00017534987,"threshold_uncertainty_score":0.99997604},"labels":[],"label_agreement":null},{"id":"W2962992003","doi":"10.1007/s12220-016-9694-y","title":"Radially Symmetric Solutions to the Graphic Willmore Surface Equation","year":2016,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Square-integrable function; Mathematics; Lambda; Mean curvature; Combinatorics; Differential geometry; Graph; Mathematical analysis; Curvature; Function (biology); Surface (topology); Constant (computer programming); Willmore energy; Geometry; Mean curvature flow; Physics; Quantum mechanics","score_opus":0.052251546239789726,"score_gpt":0.28262617504105186,"score_spread":0.23037462880126214,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962992003","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20986511,0.0023063996,0.7805586,0.006261264,0.0002688576,0.0001604665,0.000020174542,0.00002213508,0.00053701375],"genre_scores_gemma":[0.99018896,0.00057917496,0.0073045497,0.00016492837,0.00033884644,0.000003103465,0.0000027238436,0.000021629305,0.0013961038],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.99591774,0.00030127694,0.0013372293,0.00028857545,0.0016463111,0.00050884107],"domain_scores_gemma":[0.9933955,0.0028380677,0.001354843,0.0006925322,0.0013889339,0.00033009565],"candidate_categories":["metaresearch","bibliometrics"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.005135653,0.00026282662,0.00096087606,0.011760895,0.00031339162,0.00013349368,0.0008713958,0.00014281475,0.0005289181],"category_scores_gemma":[0.009867668,0.00012768256,0.0016148933,0.07870718,0.000060001308,0.00037574163,0.00010870737,0.00029369257,0.00007959729],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035632274,0.0028358316,0.28368074,0.00010701268,0.06736721,0.00015697867,0.0013535842,0.061998792,0.0012845888,0.06531937,0.21333618,0.3022034],"study_design_scores_gemma":[0.0071431994,0.0030016515,0.6600821,0.00035320316,0.11189106,0.0003232691,0.0040350314,0.016802356,0.0005206721,0.06941928,0.122951,0.0034771925],"about_ca_topic_score_codex":0.00007051029,"about_ca_topic_score_gemma":0.00013438766,"teacher_disagreement_score":0.78032386,"about_ca_system_score_codex":0.00022692667,"about_ca_system_score_gemma":0.00012207245,"threshold_uncertainty_score":0.99943995},"labels":[],"label_agreement":null},{"id":"W2963077091","doi":"10.1007/s00229-019-01114-z","title":"A Note on Generic Transversality of Euclidean Submanifolds","year":2019,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Transversality; Number theory; Mathematics; Algebraic geometry; Euclidean geometry; Pure mathematics; Algebra over a field; Geometry","score_opus":0.05297250892557136,"score_gpt":0.28298575636742773,"score_spread":0.23001324744185636,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963077091","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89090437,0.000082454746,0.014509037,0.00048342545,0.00040408754,0.0007074979,0.000023086053,0.00014467817,0.09274138],"genre_scores_gemma":[0.9785791,0.000009651642,0.013214236,0.00016906703,0.000055409986,0.000017348777,0.0000065563268,0.000049077214,0.007899521],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99760765,0.00009777767,0.000772168,0.0004066316,0.00073489465,0.0003808891],"domain_scores_gemma":[0.99793243,0.00035186662,0.0003385681,0.0011498564,0.000114802766,0.00011245169],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00087797013,0.00030583682,0.0008408016,0.00030240987,0.00004959859,0.000044006254,0.00047604428,0.00015771067,0.0021297168],"category_scores_gemma":[0.00031434375,0.00024011439,0.00044179725,0.00078577915,0.000049558665,0.00012392784,0.00006180223,0.00021413775,0.0006296859],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014314573,0.002390917,0.0012577221,0.0033479654,0.0006333022,0.000028128525,0.004134055,0.000030838193,0.008257718,0.9432198,0.031956647,0.004599769],"study_design_scores_gemma":[0.004699835,0.0016478725,0.008069762,0.0009741321,0.0019000743,0.00005738686,0.0029139074,0.014066091,0.020978078,0.89471304,0.047523238,0.0024565589],"about_ca_topic_score_codex":0.000020600797,"about_ca_topic_score_gemma":0.000011221702,"teacher_disagreement_score":0.08767478,"about_ca_system_score_codex":0.00005147916,"about_ca_system_score_gemma":0.000028561633,"threshold_uncertainty_score":0.99878246},"labels":[],"label_agreement":null},{"id":"W2963082131","doi":"10.1515/ans-2018-2025","title":"Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space","year":2018,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hyperbolic space; Combinatorics; Ball (mathematics); Physics; Mathematics; Geometry","score_opus":0.055275960435175506,"score_gpt":0.33396956771320685,"score_spread":0.27869360727803133,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963082131","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9910517,0.0029897897,0.0004167123,0.0026526253,0.00012199152,0.00028641676,0.000014995086,0.00008826035,0.0023775084],"genre_scores_gemma":[0.97446424,0.0006011689,0.017369658,0.000719261,0.00041180383,0.000044512282,0.000003856983,0.00004935003,0.0063361386],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99884176,0.00007033276,0.0001873582,0.00031120607,0.00030517168,0.0002841864],"domain_scores_gemma":[0.99831223,0.0007786178,0.00014618931,0.00032330086,0.00038878593,0.000050892144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003791528,0.00023490396,0.00045690412,0.000081485276,0.00040195344,0.00004641663,0.00013342901,0.00005527129,0.000039276027],"category_scores_gemma":[0.0016530197,0.00012083682,0.00006007757,0.0006525489,0.00024101611,0.000098901815,0.000073788535,0.00017390093,0.000042332696],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0043529877,0.007315478,0.10095026,0.0014485002,0.062899895,0.0005800794,0.090237394,0.001122704,0.05692896,0.14853813,0.37029716,0.15532845],"study_design_scores_gemma":[0.019890692,0.01108971,0.039565396,0.003445579,0.006832297,0.0000640154,0.09037475,0.008560956,0.040536843,0.03784695,0.73459977,0.007193026],"about_ca_topic_score_codex":0.0000012560427,"about_ca_topic_score_gemma":0.00010393995,"teacher_disagreement_score":0.3643026,"about_ca_system_score_codex":0.000033848446,"about_ca_system_score_gemma":0.000015358202,"threshold_uncertainty_score":0.49275824},"labels":[],"label_agreement":null},{"id":"W2963096064","doi":"10.1142/s0219530513500358","title":"A HAMILTONIAN APPROACH TO THE HEAT KERNEL OF A SUBLAPLACIAN ON S<sup>2n+1</sup>","year":2013,"lang":"en","type":"article","venue":"Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Heat kernel; Mathematics; Hamiltonian (control theory); Cauchy distribution; Mathematical analysis; Pure mathematics; Kernel (algebra); Riemann hypothesis; Mathematical physics; Mathematical optimization","score_opus":0.019580980765344775,"score_gpt":0.2591812538533947,"score_spread":0.2396002730880499,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963096064","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5722073,0.00037283302,0.38563284,0.0046913577,0.000008113595,0.0020428838,0.00006577245,0.00007987513,0.03489904],"genre_scores_gemma":[0.99285734,0.000032089334,0.00461724,0.00039979094,0.00006640827,0.00065960793,0.000034319695,0.000012123184,0.0013211067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9987505,0.000049347578,0.00037534765,0.00034230793,0.00028551568,0.00019695582],"domain_scores_gemma":[0.9985975,0.0001957741,0.00009989862,0.0008178215,0.00015964212,0.00012934917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003248761,0.00015202897,0.0004252899,0.00042055792,0.00020877125,0.00009266133,0.00029718826,0.00006996363,0.000120099314],"category_scores_gemma":[0.00005980319,0.000097604636,0.0002968161,0.0038732823,0.000051806444,0.00005284742,0.00005781072,0.00012248503,0.000090883994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030469913,0.006026433,0.0356596,0.00024199813,0.012402633,6.7629645e-7,0.009901373,0.03139258,0.00061144814,0.73164195,0.052694246,0.11939662],"study_design_scores_gemma":[0.0013811418,0.0004256216,0.18638717,0.000060964332,0.0180064,0.000009936775,0.01054686,0.40318626,0.0004217405,0.0900514,0.28760856,0.0019139259],"about_ca_topic_score_codex":0.00049464306,"about_ca_topic_score_gemma":0.00012014765,"teacher_disagreement_score":0.64159054,"about_ca_system_score_codex":0.000015175381,"about_ca_system_score_gemma":0.000012461867,"threshold_uncertainty_score":0.39802015},"labels":[],"label_agreement":null},{"id":"W2963106237","doi":"10.1016/j.geomphys.2010.12.008","title":"Classifying superpotentials: Three summands case","year":2010,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Scalar curvature; Curvature; Isotropy; Pure mathematics; Scalar (mathematics); Orbit (dynamics); Principal (computer security); Type (biology); Mathematical analysis; Mathematical physics; Geometry; Physics; Quantum mechanics; Computer science","score_opus":0.04262047875727623,"score_gpt":0.3028383071577088,"score_spread":0.2602178284004326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963106237","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96631587,0.00028726188,0.032195993,0.00011165806,0.00046064056,0.00003915766,0.000004497397,0.000008396689,0.00057653966],"genre_scores_gemma":[0.9901748,0.00004890265,0.008490044,0.00004155311,0.0011089084,5.3439555e-7,9.0196016e-7,0.000015097674,0.000119274846],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988658,0.00003227571,0.0004597131,0.000116663214,0.0003335635,0.0001920135],"domain_scores_gemma":[0.99855673,0.00039534687,0.0004053024,0.00020966637,0.00027818032,0.00015474687],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095626805,0.00014955451,0.0004280249,0.00017524703,0.00015827305,0.00011061036,0.00014480484,0.0001232362,0.00014436257],"category_scores_gemma":[0.00039557266,0.00010866987,0.0002512181,0.0008007212,0.000059230602,0.0003311988,0.00004963493,0.0007223126,0.000003812376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026808176,0.0025371413,0.14537863,0.00084724266,0.0032974074,0.0064939233,0.0021810322,0.000126702,0.022882681,0.18973215,0.020838758,0.60541624],"study_design_scores_gemma":[0.005063063,0.0011290621,0.017913148,0.0002594148,0.003517184,0.026366197,0.0031185818,0.0057274704,0.005827768,0.8938056,0.035626397,0.0016460776],"about_ca_topic_score_codex":0.000007963249,"about_ca_topic_score_gemma":0.00003600955,"teacher_disagreement_score":0.7040735,"about_ca_system_score_codex":0.0000081643575,"about_ca_system_score_gemma":0.000033954355,"threshold_uncertainty_score":0.44314286},"labels":[],"label_agreement":null},{"id":"W2963134688","doi":"10.1016/j.aim.2016.05.023","title":"Embedding Riemannian manifolds by the heat kernel of the connection Laplacian","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Air Force Office of Scientific Research; Federal Highway Administration","keywords":"Mathematics; Heat kernel; Connection (principal bundle); Embedding; Laplace operator; Levi-Civita connection; Pure mathematics; Kernel (algebra); Riemannian manifold; Fundamental theorem of Riemannian geometry; Mathematical analysis; Ricci curvature; Geometry; Artificial intelligence","score_opus":0.014705985150336614,"score_gpt":0.29357012492099444,"score_spread":0.2788641397706578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963134688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80216306,0.005726948,0.15693854,0.0034264873,0.0010262066,0.0013558279,0.000060925613,0.00013832124,0.02916366],"genre_scores_gemma":[0.99217117,0.00027097008,0.004401635,0.00006794256,0.00005528651,0.000028612501,8.439027e-7,0.00002628785,0.0029772823],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851316,0.00009206466,0.0005531953,0.00018688678,0.0004091791,0.00024549302],"domain_scores_gemma":[0.99778265,0.0011885212,0.00029211093,0.0006296299,0.00007629389,0.000030820087],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080263254,0.00017643686,0.00034558726,0.000080291335,0.00011590219,0.000022829707,0.0004758076,0.00008659912,0.00014048675],"category_scores_gemma":[0.0009873216,0.00007489355,0.0001577311,0.00068767,0.00012872308,0.00023530753,0.0000874255,0.0001381554,0.000014799311],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060347484,0.0018615227,0.018315783,0.0018669823,0.00046816596,0.00000927414,0.009795906,0.00091645407,0.0077948575,0.884013,0.025873967,0.04902372],"study_design_scores_gemma":[0.0010403412,0.000072707946,0.0006013685,0.00094648433,0.00021399518,0.000033827342,0.0049440465,0.0048050615,0.0061886935,0.9478125,0.032896534,0.00044445533],"about_ca_topic_score_codex":0.0000073618235,"about_ca_topic_score_gemma":0.00010091436,"teacher_disagreement_score":0.19000806,"about_ca_system_score_codex":0.00005835167,"about_ca_system_score_gemma":0.00001461211,"threshold_uncertainty_score":0.30540702},"labels":[],"label_agreement":null},{"id":"W2963186207","doi":"10.1007/s10455-019-09671-y","title":"Invariant Ricci-flat metrics of cohomogeneity one with Wallach spaces as principal orbits","year":2019,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Holonomy; Mathematics; Differential geometry; Ricci curvature; Einstein; Metric (unit); Invariant (physics); Equivalence of metrics; Mathematical analysis; Mathematical physics; Combinatorics; Pure mathematics; Metric space; Curvature; Geometry; Convex metric space","score_opus":0.03961113871636888,"score_gpt":0.30938192215517507,"score_spread":0.26977078343880617,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963186207","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99162954,0.0023256005,0.0017969109,0.0003320028,0.000026858941,0.00019296055,0.000088016444,0.00001864976,0.003589484],"genre_scores_gemma":[0.9960564,0.0004910473,0.0027902632,0.00011514101,0.000029219367,0.0000030757365,0.000027767324,0.000012779673,0.00047435283],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99689883,0.000115272844,0.0008300418,0.00055001915,0.0011828941,0.00042295456],"domain_scores_gemma":[0.9968501,0.00034714307,0.0008997641,0.0007435625,0.0009262011,0.00023328033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001384149,0.00033102013,0.0016578691,0.0009322823,0.000067462905,0.00006873733,0.00037107803,0.00021436973,0.0005698129],"category_scores_gemma":[0.00057574717,0.0002389298,0.00058770634,0.016439157,0.0001093596,0.00018467609,0.00021190349,0.00016860839,0.000020633775],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013521753,0.0006620708,0.9598938,0.00026198637,0.010980544,0.000008247897,0.00006575671,0.00020622273,0.000155634,0.02559026,0.00031171716,0.0017285434],"study_design_scores_gemma":[0.0014123246,0.0014044326,0.9578981,0.00014137302,0.013126716,0.000018000597,0.000960274,0.0017845457,0.0066715246,0.014798921,0.00082442665,0.0009593913],"about_ca_topic_score_codex":0.0010809154,"about_ca_topic_score_gemma":0.0006187133,"teacher_disagreement_score":0.015506874,"about_ca_system_score_codex":0.000023628034,"about_ca_system_score_gemma":0.00008698118,"threshold_uncertainty_score":0.97432745},"labels":[],"label_agreement":null},{"id":"W2963209918","doi":"10.4153/cjm-2010-076-2","title":"Pseudolocality for the Ricci Flow and Applications","year":2010,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":69,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Ricci flow; Mathematics; Pure mathematics; Mathematical proof; Flow (mathematics); Manifold (fluid mechanics); Singularity; Geometric flow; Mathematical analysis; Ricci curvature; Geometry; Curvature","score_opus":0.0325677314376692,"score_gpt":0.27982580210614566,"score_spread":0.24725807066847647,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963209918","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07379574,0.0010664213,0.919251,0.00288568,0.0004584542,0.0007382875,0.000056836165,0.000012031182,0.0017354997],"genre_scores_gemma":[0.76220155,0.00003342065,0.23628154,0.00020864651,0.0007441257,0.000039447,0.0000016526462,0.00003212704,0.00045747013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991644,0.000015324264,0.00041401852,0.000073568786,0.00014592923,0.0001867765],"domain_scores_gemma":[0.99755806,0.001195279,0.00030827743,0.00029889465,0.00033434757,0.00030512837],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013837077,0.0000998423,0.0002527283,0.00015344977,0.00024163438,0.00009626694,0.00029870836,0.000087120294,0.00010840287],"category_scores_gemma":[0.0014346854,0.000060864455,0.00014288034,0.0002776391,0.00010398628,0.000062353276,0.000009425576,0.00030193976,0.0000037036161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006535702,0.00021017372,0.0020246813,0.0005368311,0.000682647,0.000012278108,0.0026158872,0.000070484464,0.00019931131,0.8741409,0.076907426,0.0425928],"study_design_scores_gemma":[0.0005563705,0.000071038274,0.0008446512,0.000041912142,0.0007194326,0.00043087165,0.0025085774,0.010415907,0.00010393322,0.7350775,0.24896964,0.00026015687],"about_ca_topic_score_codex":0.00007450196,"about_ca_topic_score_gemma":0.0069849417,"teacher_disagreement_score":0.6884058,"about_ca_system_score_codex":0.00001942441,"about_ca_system_score_gemma":0.00026348376,"threshold_uncertainty_score":0.38977614},"labels":[],"label_agreement":null},{"id":"W2963239609","doi":"10.48550/arxiv.1706.09159","title":"Invariant submanifolds of (LCS)n-Manifolds with respect to quarter\\n symmetric metric connection","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Mathematics; Connection (principal bundle); Submanifold; Invariant (physics); Pure mathematics; Curvature; Mathematical analysis; Quarter (Canadian coin); Geometry; Topology (electrical circuits); Combinatorics; Scalar curvature; Fundamental theorem of Riemannian geometry; Mathematical physics","score_opus":0.08266995186155889,"score_gpt":0.22250088309809168,"score_spread":0.13983093123653279,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963239609","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84151375,0.000184537,0.13760816,0.000117702984,0.00046399303,0.0009282025,0.000059611284,0.00016357766,0.018960485],"genre_scores_gemma":[0.9950597,0.000120665514,0.001349247,0.00002602717,0.0001445303,0.0000034524976,0.000025508418,0.00005874035,0.0032121178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99705034,0.0002300444,0.000552236,0.0012801338,0.00038070168,0.0005065504],"domain_scores_gemma":[0.99475014,0.0005874349,0.0012817174,0.0023483583,0.000725391,0.00030695074],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010818099,0.0005831373,0.001273203,0.0038651556,0.00026925222,0.00016882322,0.0014307777,0.0005772395,0.00018963791],"category_scores_gemma":[0.001075088,0.0005421064,0.00052090565,0.0049837274,0.000091361595,0.00024495064,0.00076182437,0.00071141846,0.00007695026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010936935,0.0017268426,0.02412814,0.0015813293,0.0047577713,0.0014436827,0.0010596861,0.03850077,0.00010954834,0.91415185,0.010462478,0.0009841921],"study_design_scores_gemma":[0.013617607,0.0076585645,0.106691614,0.003945273,0.025364077,0.00019206144,0.009157198,0.10203328,0.0031526184,0.70928276,0.0079662325,0.010938738],"about_ca_topic_score_codex":0.0010947016,"about_ca_topic_score_gemma":0.00088148913,"teacher_disagreement_score":0.20486912,"about_ca_system_score_codex":0.00035140515,"about_ca_system_score_gemma":0.00024313295,"threshold_uncertainty_score":0.99970305},"labels":[],"label_agreement":null},{"id":"W2963315202","doi":"10.4310/mrl.2009.v16.n2.a11","title":"Some New Examples of Non-Kähler Ricci Solitons","year":2009,"lang":"de","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ricci flow; Pure mathematics; Mathematical analysis; Mathematical physics; Ricci curvature; Geometry","score_opus":0.1175189234919122,"score_gpt":0.3922288750657811,"score_spread":0.2747099515738689,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963315202","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56008977,0.016949175,0.22809061,0.16416626,0.0013587633,0.005999724,0.00014996094,0.0003884323,0.022807276],"genre_scores_gemma":[0.87510777,0.0014755517,0.09658333,0.0039030123,0.0068899267,0.00007370958,0.00006462953,0.000269856,0.015632235],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9908924,0.0006001093,0.0017075831,0.0008662029,0.0039054356,0.0020282643],"domain_scores_gemma":[0.9913735,0.004881257,0.00038426876,0.0018829082,0.00048806856,0.0009900216],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0052538626,0.0006098972,0.0016989138,0.0014610715,0.0003047817,0.00037005925,0.001452268,0.000445308,0.0024942071],"category_scores_gemma":[0.0077723362,0.0004863854,0.00084459665,0.0031485967,0.000566114,0.00036429154,0.00037283602,0.0017294703,0.0032772894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000115754876,0.0028116372,0.00006363364,0.0017208979,0.0011432745,0.00015733685,0.0036434925,0.000044514207,0.026116336,0.2951103,0.6561496,0.012923186],"study_design_scores_gemma":[0.0020149648,0.0009759012,0.0013775559,0.001640042,0.0009617468,0.000014999686,0.0011886442,0.007213545,0.005144882,0.950795,0.027490616,0.0011821092],"about_ca_topic_score_codex":0.000077754805,"about_ca_topic_score_gemma":0.0000035694875,"teacher_disagreement_score":0.6556847,"about_ca_system_score_codex":0.00022024853,"about_ca_system_score_gemma":0.0003558536,"threshold_uncertainty_score":0.9997588},"labels":[],"label_agreement":null},{"id":"W2963345940","doi":"10.4153/cmb-2011-121-9","title":"An Optimal Transport View of Schrödinger's Equation","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Symplectic geometry; Wasserstein metric; Probability measure; Lift (data mining); Symplectic manifold; Space (punctuation); Pure mathematics; Mathematical analysis","score_opus":0.04364087733281047,"score_gpt":0.2794420472293885,"score_spread":0.235801169896578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963345940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8586174,0.0007894672,0.09911398,0.0014362725,0.00015122967,0.0005903306,0.000044561184,0.000096941476,0.03915982],"genre_scores_gemma":[0.97215897,0.0000070985498,0.026996022,0.0001454981,0.00013293073,0.000020333175,0.00002087794,0.000032497388,0.0004857762],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9982941,0.00007327199,0.0005520562,0.00018354403,0.00035365997,0.0005433277],"domain_scores_gemma":[0.99825364,0.00023312327,0.00013771483,0.00044990474,0.00011950374,0.0008061321],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011608952,0.00019032371,0.0004738031,0.00028320722,0.000078594094,0.000021851642,0.00025692937,0.00016480514,0.030128198],"category_scores_gemma":[0.0005196337,0.00016388844,0.00017199022,0.0004664375,0.00006601556,0.00010844757,0.0000085683705,0.00017022678,0.00153075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022113667,0.001236167,0.002292346,0.0009944073,0.0002621751,0.000018046178,0.0028576269,0.000049187664,0.00024429048,0.9674009,0.01571505,0.008907696],"study_design_scores_gemma":[0.0030622499,0.0011180037,0.010515959,0.0015905127,0.0032474955,0.00021470644,0.0067219436,0.010393484,0.004929934,0.27289945,0.6808891,0.004417108],"about_ca_topic_score_codex":0.00028028895,"about_ca_topic_score_gemma":0.0002127609,"teacher_disagreement_score":0.69450146,"about_ca_system_score_codex":0.000078641846,"about_ca_system_score_gemma":0.000096760516,"threshold_uncertainty_score":0.99924666},"labels":[],"label_agreement":null},{"id":"W2963363991","doi":"10.1515/crelle-2019-0006","title":"Harnack inequalities for curvature flows in Riemannian and Lorentzian manifolds","year":2019,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Engineering and Physical Sciences Research Council","keywords":"Curvature; Curvature of Riemannian manifolds; Harnack's inequality; Sectional curvature; Harnack's principle; Scalar curvature; Pure mathematics; Mathematics; Riemann curvature tensor; Geology; Geometry","score_opus":0.031975099283270865,"score_gpt":0.32251656553426206,"score_spread":0.2905414662509912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963363991","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9430876,0.034285042,0.011892849,0.0038858932,0.0011304964,0.0011016373,0.00005119534,0.00007986786,0.004485435],"genre_scores_gemma":[0.91163087,0.015777145,0.047704067,0.0006320236,0.003128399,0.000050503866,0.000033588025,0.00035810206,0.02068531],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9956094,0.00024530868,0.0018357465,0.00046444856,0.00093512045,0.0009099566],"domain_scores_gemma":[0.99617267,0.0009334501,0.0013793122,0.0005014784,0.0005140205,0.0004990474],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003323245,0.0006576702,0.0014999675,0.001194142,0.0004693505,0.0009006828,0.00060100865,0.00037767334,0.00053842703],"category_scores_gemma":[0.0009751479,0.00047102978,0.00072214287,0.0007410458,0.000063631735,0.0007995332,0.00015198009,0.0015204686,0.000042305623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0038915637,0.0077857985,0.05082254,0.018602792,0.017995529,0.004426876,0.07023015,0.002068529,0.011943995,0.43969625,0.29728198,0.07525398],"study_design_scores_gemma":[0.010329216,0.0013996983,0.0015485511,0.0039656414,0.0016187577,0.0043560644,0.011532537,0.004996646,0.0007907281,0.7039375,0.2533766,0.0021480548],"about_ca_topic_score_codex":0.000012613479,"about_ca_topic_score_gemma":0.00015422229,"teacher_disagreement_score":0.26424122,"about_ca_system_score_codex":0.00020641755,"about_ca_system_score_gemma":0.00012981777,"threshold_uncertainty_score":0.99977416},"labels":[],"label_agreement":null},{"id":"W2963380297","doi":"10.4171/jems/752","title":"Entropy and a convergence theorem for Gauss curvature flow in high dimension","year":2017,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Mean curvature flow; Curvature; Gaussian curvature; Dimension (graph theory); Convergence (economics); Entropy (arrow of time); Mathematical analysis; Pure mathematics; Mean curvature; Geometry","score_opus":0.02526845746967218,"score_gpt":0.27866413778833765,"score_spread":0.2533956803186655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963380297","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9480618,0.00038615958,0.042346492,0.005216227,0.00063999597,0.00054997916,0.000013410552,0.000018637384,0.002767281],"genre_scores_gemma":[0.94758326,0.00008029661,0.051295925,0.00016063347,0.00029174998,0.0000015070979,3.3795646e-7,0.000028800525,0.00055747747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984546,0.00020625783,0.00058489875,0.00014556687,0.0003852934,0.0002234151],"domain_scores_gemma":[0.9978315,0.00055247225,0.0008441141,0.000503825,0.00017067429,0.00009739241],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032533929,0.00016655368,0.0004613719,0.000029109015,0.00031498683,0.00015511541,0.00066599896,0.000074474105,0.00005619909],"category_scores_gemma":[0.002686795,0.00008707683,0.00053098,0.000117506694,0.00016259907,0.00016954349,0.00024483196,0.00041779017,0.000007945324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025020255,0.0016173616,0.008901036,0.0015708085,0.0015097667,0.00007641811,0.010073757,0.000114882925,0.0048324363,0.8361959,0.12531005,0.009547408],"study_design_scores_gemma":[0.002530867,0.00012323391,0.020635532,0.00068392244,0.00055870094,0.000100719764,0.0006463942,0.009060549,0.0003465222,0.9621392,0.002855689,0.00031866357],"about_ca_topic_score_codex":8.3348965e-7,"about_ca_topic_score_gemma":9.547233e-7,"teacher_disagreement_score":0.12594333,"about_ca_system_score_codex":0.000035768364,"about_ca_system_score_gemma":0.000019908208,"threshold_uncertainty_score":0.35508898},"labels":[],"label_agreement":null},{"id":"W2963381840","doi":"10.1016/j.jfa.2011.12.020","title":"Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality","year":2011,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":79,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Isoperimetric inequality; Poincaré inequality; Gaussian measure; Sobolev inequality; Dimension (graph theory); Curvature; Pure mathematics; Gaussian curvature; Hölder's inequality; Kantorovich inequality; Logarithm; Inequality; Log sum inequality; Operator (biology); Manifold (fluid mechanics); Mathematical analysis; Sobolev space; Gaussian; Linear inequality; Geometry","score_opus":0.2228487052510702,"score_gpt":0.2353610784271936,"score_spread":0.012512373176123387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963381840","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9032074,0.00013455848,0.09497229,0.000022200964,0.0001789715,0.00036107507,0.000026873813,0.00013265345,0.0009639386],"genre_scores_gemma":[0.9915456,0.000056541034,0.0058721313,0.0001666272,0.000086831504,0.0000036528581,0.000028783721,0.000037774716,0.0022020119],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981937,0.00023644717,0.00039048714,0.0006010186,0.00012900273,0.0004493481],"domain_scores_gemma":[0.99825174,0.00035904808,0.00026192708,0.0006409412,0.00031072498,0.00017563261],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00074951234,0.00031968168,0.0005583393,0.00032155332,0.00026795623,0.000043430584,0.00037314018,0.00027483347,0.00043672766],"category_scores_gemma":[0.0004445147,0.00029486473,0.00033218917,0.0012421233,0.00008500877,0.00033357588,0.00013596429,0.00025693132,0.000038668048],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002518502,0.00034314027,0.034866743,0.00023924594,0.000453684,0.00005916544,0.0025166355,0.00062749337,0.00047447908,0.95756763,0.002329347,0.0002705667],"study_design_scores_gemma":[0.00971737,0.00089722866,0.011358702,0.0003312319,0.003491688,0.000019179894,0.0088485,0.08063707,0.005230737,0.8689679,0.0068746265,0.003625794],"about_ca_topic_score_codex":0.00033811186,"about_ca_topic_score_gemma":0.0002105879,"teacher_disagreement_score":0.08910016,"about_ca_system_score_codex":0.00009871499,"about_ca_system_score_gemma":0.00005903655,"threshold_uncertainty_score":0.99995035},"labels":[],"label_agreement":null},{"id":"W2963498637","doi":"10.1142/s0219199718500256","title":"Local isometric immersions of pseudo-spherical surfaces and kth order evolution equations","year":2018,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Immersion (mathematics); Isometric exercise; Second fundamental form; Mathematical analysis; Order (exchange); Pure mathematics; Curvature; Mean curvature; Geometry","score_opus":0.1415574933059797,"score_gpt":0.3589523818730636,"score_spread":0.21739488856708392,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963498637","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08909266,0.00412665,0.8838739,0.0012271043,0.000077155295,0.0005968851,0.000026750422,0.00007797569,0.020900972],"genre_scores_gemma":[0.8106258,0.00013313725,0.1888496,0.000023725997,0.0000139666,0.000027928289,0.000017224133,0.000020697871,0.00028794826],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.998026,0.00023938547,0.0009714353,0.00022569596,0.0003317936,0.00020565487],"domain_scores_gemma":[0.99431604,0.002889138,0.0004623105,0.0017188847,0.0005289486,0.000084670544],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012318426,0.00019653032,0.000527503,0.00062338746,0.0002382181,0.000036165056,0.00076570624,0.00015818044,0.000097600605],"category_scores_gemma":[0.0026014931,0.00017630072,0.000093346345,0.0042087995,0.00074177625,0.0002653404,0.00045619626,0.00028437955,0.000024436205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002876558,0.004147647,0.012468655,0.00045466283,0.00037804883,0.0000020801065,0.006733756,0.00006217406,0.00069203373,0.96333283,0.0072463397,0.004453004],"study_design_scores_gemma":[0.002124559,0.00049156055,0.0048099533,0.0006446483,0.0003784351,0.000021476913,0.027479855,0.5275415,0.00031745606,0.43101612,0.0042020204,0.0009723913],"about_ca_topic_score_codex":0.0001213186,"about_ca_topic_score_gemma":0.00016937211,"teacher_disagreement_score":0.7215331,"about_ca_system_score_codex":0.00008348771,"about_ca_system_score_gemma":0.00016818999,"threshold_uncertainty_score":0.71893346},"labels":[],"label_agreement":null},{"id":"W2963587665","doi":"10.1016/j.aim.2016.11.026","title":"Wasserstein barycenters over Riemannian manifolds","year":2016,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":63,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Mathematics; Riemannian manifold; Pure mathematics; Manifold (fluid mechanics); Euclidean space; Statistical manifold; Probability measure; Metric (unit); Space (punctuation); Minkowski space; Pseudo-Riemannian manifold; Mathematical analysis; Information geometry; Ricci curvature; Geometry","score_opus":0.01658386076980217,"score_gpt":0.299170996194778,"score_spread":0.2825871354249758,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963587665","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65585357,0.004314897,0.22987674,0.0015025988,0.0010537409,0.0011697579,0.000042077092,0.00046330632,0.105723344],"genre_scores_gemma":[0.933816,0.0009199288,0.059674777,0.000116181465,0.00011640998,0.000042704265,0.0000025541103,0.00006417448,0.0052472553],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981016,0.00005134429,0.00063641905,0.00032244,0.00046226225,0.00042591945],"domain_scores_gemma":[0.9982206,0.0007436775,0.0002611668,0.0006214321,0.000058905276,0.00009417597],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059982005,0.0002608351,0.0004890742,0.00029182373,0.000053827596,0.000035765966,0.0003901919,0.00011331064,0.00078491215],"category_scores_gemma":[0.0006677466,0.00016202171,0.00017112435,0.00070549047,0.000070222704,0.00059514126,0.000089490095,0.00012583604,0.00013421553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004404817,0.0014210311,0.021726625,0.0010593389,0.0002199856,0.00012634548,0.0019535883,0.000035891757,0.0010162189,0.92008,0.0062475693,0.04606936],"study_design_scores_gemma":[0.001438899,0.000074815165,0.0014579326,0.0006803771,0.00010440375,0.000017107317,0.0010587083,0.00061085046,0.00047444517,0.95637023,0.037130497,0.00058171194],"about_ca_topic_score_codex":0.000002514131,"about_ca_topic_score_gemma":0.000083238825,"teacher_disagreement_score":0.27796248,"about_ca_system_score_codex":0.000104472885,"about_ca_system_score_gemma":0.000016224883,"threshold_uncertainty_score":0.85942376},"labels":[],"label_agreement":null},{"id":"W2963675044","doi":"10.1090/tran/7661","title":"A volume preserving flow and the isoperimetric problem in warped product spaces","year":2018,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"National Science Foundation","keywords":"Isoperimetric inequality; Hypersurface; Mathematics; Bounded function; Product (mathematics); Flow (mathematics); Monotonic function; Volume (thermodynamics); Domain (mathematical analysis); Pure mathematics; Mathematical analysis; Geometry","score_opus":0.01801285359915773,"score_gpt":0.27201451454104425,"score_spread":0.25400166094188653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963675044","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6192431,0.00044412105,0.36427248,0.01046334,0.00007947983,0.0016583108,0.000013984424,0.00009762781,0.0037276035],"genre_scores_gemma":[0.8769679,0.000055321383,0.12145981,0.000093424926,0.000049495524,0.00005610987,2.2513333e-7,0.000020794492,0.0012969263],"study_design_codex":"qualitative","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983867,0.00019527902,0.00047207743,0.00025853142,0.0004097339,0.00027768727],"domain_scores_gemma":[0.99813354,0.0007314983,0.00029828757,0.000654921,0.00012882677,0.000052955624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012605482,0.000181308,0.0005983185,0.00007782924,0.0002440545,0.000055046447,0.00047818935,0.000042120148,0.0002507146],"category_scores_gemma":[0.00051047443,0.00009144416,0.00041849312,0.0029674775,0.0015741368,0.00010975192,0.000058211506,0.00030831105,0.000009388158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0026745587,0.019489313,0.02751234,0.012960994,0.015244234,0.0000065190884,0.35991144,0.0052130944,0.009677111,0.2052178,0.088667944,0.25342464],"study_design_scores_gemma":[0.0044243163,0.00056587876,0.008552846,0.0005020213,0.0021901962,0.000055536977,0.020981528,0.47498915,0.0024669834,0.48170194,0.0024835872,0.0010860271],"about_ca_topic_score_codex":0.00023827063,"about_ca_topic_score_gemma":0.00003805606,"teacher_disagreement_score":0.46977606,"about_ca_system_score_codex":0.00003542471,"about_ca_system_score_gemma":0.000036079018,"threshold_uncertainty_score":0.57999724},"labels":[],"label_agreement":null},{"id":"W2963682522","doi":"10.4171/jst/143","title":"Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound","year":2016,"lang":"en","type":"article","venue":"Journal of Spectral Theory","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Ricci curvature; Curvature of Riemannian manifolds; Mathematics; Pure mathematics; Curvature; Sectional curvature; Ricci flow; Ricci-flat manifold; Eigenvalues and eigenvectors; Mathematical analysis; Scalar curvature; Upper and lower bounds; Physics; Geometry","score_opus":0.025472676273063447,"score_gpt":0.27300634226558096,"score_spread":0.24753366599251753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963682522","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9729372,0.00088569004,0.007876088,0.0013023055,0.0003856185,0.000119997574,0.000009634444,0.0000318103,0.016451603],"genre_scores_gemma":[0.9884188,0.00012765323,0.0018171042,0.00024613529,0.0008768766,0.0000018984721,4.2036146e-7,0.000040207757,0.008470865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979271,0.0001959739,0.00059843046,0.00018500701,0.0007339684,0.00035951327],"domain_scores_gemma":[0.99794066,0.0006176745,0.00066491414,0.0003592203,0.0002497562,0.00016778067],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016915539,0.00026834582,0.00056687155,0.00039547775,0.000099479046,0.0000838183,0.0003519599,0.00014046597,0.0012295305],"category_scores_gemma":[0.00045572515,0.00012577076,0.0003557141,0.00049139844,0.0001060605,0.00030206674,0.000025207366,0.0004115985,0.00004652106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013785333,0.00052087364,0.0011945302,0.000053074175,0.0009287713,0.00040628941,0.0008768299,0.0000085448555,0.0005742346,0.9808217,0.01056996,0.0026666133],"study_design_scores_gemma":[0.0018439149,0.0021330684,0.0031142123,0.0005929058,0.00049349543,0.00028223926,0.0010842186,0.0000032741514,0.0016654235,0.97366256,0.01468147,0.00044324485],"about_ca_topic_score_codex":0.000001881129,"about_ca_topic_score_gemma":0.000010665107,"teacher_disagreement_score":0.015481587,"about_ca_system_score_codex":0.000120801,"about_ca_system_score_gemma":0.00008906102,"threshold_uncertainty_score":0.9996835},"labels":[],"label_agreement":null},{"id":"W2963773446","doi":"10.1016/j.jfa.2015.06.018","title":"Non-compactness and infinite number of conformal initial data sets in high dimensions","year":2015,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Compact space; Conformal map; Set (abstract data type); Pure mathematics; Mathematical analysis","score_opus":0.10619516051005377,"score_gpt":0.3543711897640045,"score_spread":0.24817602925395071,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963773446","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9918022,0.000093739975,0.0070617176,0.00018896417,0.00014322571,0.000032230302,0.000047116635,0.0000027530998,0.00062802905],"genre_scores_gemma":[0.9967157,0.000021931139,0.0029058242,0.000052679065,0.00013013158,5.4987413e-7,0.00007362471,0.000006458998,0.00009309693],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9979788,0.00006480268,0.0009207229,0.00014080676,0.00075035344,0.0001445143],"domain_scores_gemma":[0.99765116,0.00037920335,0.0007628408,0.0003072843,0.0007246807,0.00017484465],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014985282,0.0001327384,0.00076344283,0.00098355,0.000037198784,0.000032868767,0.0002185169,0.00008559264,0.0003559171],"category_scores_gemma":[0.0006414697,0.00009638603,0.00021666553,0.0023023135,0.0000567529,0.0005163721,0.00012972357,0.00026750605,0.0000060057464],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00080831145,0.0012706341,0.9400659,0.000079846315,0.011295944,0.0001141587,0.000849167,0.020263206,0.00010409111,0.0056876875,0.017731512,0.0017295468],"study_design_scores_gemma":[0.006946684,0.00038027912,0.8575387,0.00011738456,0.014140524,0.0004664798,0.0036323762,0.0793178,0.00009416088,0.034537315,0.0021502683,0.00067802006],"about_ca_topic_score_codex":0.00013283153,"about_ca_topic_score_gemma":0.00012479926,"teacher_disagreement_score":0.08252719,"about_ca_system_score_codex":0.000034900066,"about_ca_system_score_gemma":0.00015481676,"threshold_uncertainty_score":0.39305082},"labels":[],"label_agreement":null},{"id":"W2963781951","doi":"10.1016/j.aim.2017.05.020","title":"Inverse anisotropic mean curvature flow and a Minkowski type inequality","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; Natural Science Foundation of Fujian Province; National Natural Science Foundation of China; McGill University","keywords":"Mathematics; Mean curvature flow; Hypersurface; Mean curvature; Mathematical analysis; Inverse; Minkowski space; Regular polygon; Type (biology); Flow (mathematics); Curvature; Pure mathematics; Geometry","score_opus":0.04329553482144161,"score_gpt":0.34230862658444067,"score_spread":0.29901309176299906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963781951","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.958141,0.004973504,0.011793371,0.00052962755,0.0007357794,0.0006901982,0.000025688818,0.00014355964,0.022967225],"genre_scores_gemma":[0.72632647,0.0015844736,0.2702591,0.00010343615,0.00015573151,0.000018652088,0.000007993676,0.000044373333,0.0014997211],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985044,0.000056088964,0.00047948986,0.00031790207,0.00033881183,0.00030332728],"domain_scores_gemma":[0.99793273,0.0003546544,0.00044990348,0.0010489807,0.00011947665,0.00009422815],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006963871,0.00024892934,0.0005615999,0.00014151754,0.00023438773,0.00015068353,0.00046593227,0.00015890283,0.00011638068],"category_scores_gemma":[0.0026064725,0.00019976177,0.00008180974,0.0003029619,0.00015245426,0.0006231846,0.00019850123,0.00030010522,0.000026243983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012096174,0.002352089,0.10795817,0.0057488726,0.0005299619,0.00023066706,0.023521977,0.00025498806,0.00034867384,0.76194155,0.006757033,0.09023507],"study_design_scores_gemma":[0.00093583117,0.00008150233,0.00415495,0.0002814069,0.00016878526,0.000016992683,0.0015317383,0.012871834,0.0000755561,0.9677708,0.011612734,0.00049782713],"about_ca_topic_score_codex":0.00001428605,"about_ca_topic_score_gemma":0.0007859786,"teacher_disagreement_score":0.25846577,"about_ca_system_score_codex":0.00003797811,"about_ca_system_score_gemma":0.000024428946,"threshold_uncertainty_score":0.8146048},"labels":[],"label_agreement":null},{"id":"W2963786741","doi":"10.1017/s0956792513000247","title":"(In-)Stability of singular equivariant solutions to the Landau-Lifshitz-Gilbert equation","year":2013,"lang":"en","type":"article","venue":"VU Research Portal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Harmonic map; Equivariant map; Limit (mathematics); Landau–Lifshitz–Gilbert equation; Argument (complex analysis); Mathematics; Stability (learning theory); Flow (mathematics); Harmonic; Mathematical physics; Mathematical analysis; Physics; Pure mathematics; Quantum mechanics; Computer science; Geometry","score_opus":0.21809248876662946,"score_gpt":0.4023853004134227,"score_spread":0.18429281164679323,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963786741","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93943757,0.00017855667,0.012959201,0.012641673,0.00014854044,0.0015339192,0.00002080013,0.000026618512,0.033053093],"genre_scores_gemma":[0.9973323,0.000006971046,0.001152171,0.00005051084,0.00010309115,0.000094819065,0.000010515364,0.000011291631,0.0012383473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974167,0.00032736323,0.00045248558,0.0002469934,0.001040432,0.000516061],"domain_scores_gemma":[0.99770737,0.000889902,0.00007946507,0.0006483225,0.0005465572,0.00012839468],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0049720756,0.00009732989,0.00023671272,0.00037080454,0.00016173912,0.00007078045,0.00034872614,0.00008188312,0.003636507],"category_scores_gemma":[0.005390274,0.00006241918,0.000112995964,0.0019918496,0.00009547456,0.00017312849,0.00019816666,0.00034936122,0.00020906012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007594645,0.0025780033,0.027572557,0.00032489575,0.00034670375,0.000054982072,0.0071531185,0.00025945043,0.012806234,0.6448558,0.29633218,0.0076401215],"study_design_scores_gemma":[0.0024870113,0.0012521826,0.16536786,0.00034481008,0.00023162062,0.000037052774,0.0136281205,0.05221625,0.007219234,0.6505876,0.105303265,0.0013249499],"about_ca_topic_score_codex":0.0019024508,"about_ca_topic_score_gemma":0.0013355666,"teacher_disagreement_score":0.19102892,"about_ca_system_score_codex":0.00004886329,"about_ca_system_score_gemma":0.00012738758,"threshold_uncertainty_score":0.9972743},"labels":[],"label_agreement":null},{"id":"W2963794041","doi":"10.4171/cmh/429","title":"Mean curvature in manifolds with Ricci curvature bounded from below","year":2018,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Ricci curvature; Scalar curvature; Curvature of Riemannian manifolds; Sectional curvature; Curvature; Bounded function; Riemann curvature tensor; Mean curvature; Mathematical analysis; Pure mathematics; Geometry","score_opus":0.034052384185446434,"score_gpt":0.29206973605466513,"score_spread":0.2580173518692187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963794041","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.934521,0.0016604203,0.016644934,0.0060154335,0.0006230199,0.001966395,0.00012529145,0.0004817344,0.03796172],"genre_scores_gemma":[0.930499,0.000037298763,0.06439759,0.0026546656,0.0005196753,0.00011435805,0.00014467945,0.00015264777,0.0014800924],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958662,0.00021802496,0.0010644965,0.0008515366,0.0010624279,0.0009373239],"domain_scores_gemma":[0.9963901,0.00095744,0.00053787575,0.0015521918,0.0002907579,0.000271611],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00087315287,0.0007501299,0.001243668,0.0005141577,0.0003269067,0.00028753577,0.0009735917,0.00042728405,0.0030357887],"category_scores_gemma":[0.00032241317,0.0005602433,0.00026019034,0.002009297,0.00027031853,0.00034839733,0.00029214405,0.0008902176,0.00032420576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011214542,0.011226764,0.045203995,0.0019273171,0.006755792,0.0005942957,0.06371998,0.000020038675,0.001423154,0.47399506,0.38797516,0.006036995],"study_design_scores_gemma":[0.008071721,0.0014384533,0.008778759,0.002026446,0.0028360083,0.000110026805,0.008649944,0.0043055955,0.0034419247,0.865923,0.09126077,0.0031573894],"about_ca_topic_score_codex":0.0006299021,"about_ca_topic_score_gemma":0.0072444743,"teacher_disagreement_score":0.3919279,"about_ca_system_score_codex":0.00028032734,"about_ca_system_score_gemma":0.00008726148,"threshold_uncertainty_score":0.99968493},"labels":[],"label_agreement":null},{"id":"W2963823192","doi":"10.1016/j.aim.2018.11.020","title":"On the regularity of Hamiltonian stationary Lagrangian submanifolds","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Lagrangian; Hamiltonian (control theory); Pure mathematics; Mathematical analysis; Mathematical optimization","score_opus":0.023877445108734126,"score_gpt":0.30751719012059114,"score_spread":0.283639745011857,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963823192","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8082375,0.0011088431,0.042596612,0.0009694865,0.00034110938,0.0008321229,0.0000341346,0.00009411935,0.1457861],"genre_scores_gemma":[0.95483303,0.00010118971,0.04382023,0.0001097328,0.00006660454,0.000018249211,0.0000035791263,0.000021465861,0.0010259042],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986138,0.00007541025,0.0004908648,0.0001734204,0.00044087166,0.00020564247],"domain_scores_gemma":[0.99750066,0.001432592,0.00029625028,0.0005802662,0.00015839566,0.000031809486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009774973,0.00015107055,0.00031785792,0.00017610942,0.000085708365,0.000017294842,0.00034628302,0.00007361593,0.00050037785],"category_scores_gemma":[0.001221436,0.00009567465,0.000101352634,0.00092562754,0.00018412349,0.00015441905,0.000046586443,0.00015245422,0.00003946924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000095413625,0.00031852632,0.00035321698,0.00014499693,0.000029905084,0.0000023719078,0.001266497,0.000018678105,0.000053940665,0.9949584,0.0010491326,0.0017947975],"study_design_scores_gemma":[0.00018480816,0.0000967471,0.001181643,0.00013556184,0.000038649436,0.0000028531874,0.0009475225,0.0016212523,0.0005663319,0.9922348,0.002858555,0.0001312432],"about_ca_topic_score_codex":0.000004178397,"about_ca_topic_score_gemma":0.00016889953,"teacher_disagreement_score":0.14659558,"about_ca_system_score_codex":0.000030022768,"about_ca_system_score_gemma":0.000020703417,"threshold_uncertainty_score":0.5478787},"labels":[],"label_agreement":null},{"id":"W2963830190","doi":"10.4153/cmb-2015-052-4","title":"Non-branching RCD(0,N) Geodesic Spaces with Small Linear Diameter Growth have Finitely Generated Fundamental Groups","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Rheinische Friedrich-Wilhelms-Universität Bonn; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Mathematics; Branching (polymer chemistry); Geodesic; Pure mathematics; Conjecture; Finitely-generated abelian group; Type (biology); Discrete mathematics; Mathematical analysis; Composite material","score_opus":0.05672007199083958,"score_gpt":0.24503426490020347,"score_spread":0.18831419290936388,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963830190","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93740493,0.00012503075,0.03907597,0.0040262174,0.00012294736,0.0006857259,0.000049154853,0.00012879993,0.018381238],"genre_scores_gemma":[0.93680227,0.000004287559,0.057605553,0.0011703148,0.00030719867,0.000068616086,0.000052424366,0.0001182945,0.0038710213],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99720263,0.00011466359,0.0006068709,0.00055811275,0.0005954348,0.0009222598],"domain_scores_gemma":[0.9969541,0.00046293312,0.0002029735,0.0005683542,0.0003252087,0.001486468],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00096975686,0.0004946064,0.0007922736,0.0005027449,0.0002029888,0.0003080813,0.00043893888,0.00022634992,0.0030844524],"category_scores_gemma":[0.0012130737,0.00037380058,0.00020327873,0.00071439135,0.00015649,0.00008289505,0.00006611842,0.00049374445,0.0031938637],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006627986,0.0034566128,0.024250371,0.0035691322,0.0047319997,0.003994993,0.027196331,0.0008575943,0.0004794784,0.23577522,0.688162,0.0068634474],"study_design_scores_gemma":[0.020499287,0.004464856,0.004342506,0.0034254761,0.0052299458,0.0014146466,0.028211934,0.079746015,0.0033711917,0.5516101,0.28439036,0.01329363],"about_ca_topic_score_codex":0.0021800061,"about_ca_topic_score_gemma":0.007220859,"teacher_disagreement_score":0.40377164,"about_ca_system_score_codex":0.0002816651,"about_ca_system_score_gemma":0.00033417562,"threshold_uncertainty_score":0.9998714},"labels":[],"label_agreement":null},{"id":"W2963850835","doi":"10.1002/cpa.21812","title":"Finite Morse Index Implies Finite Ends","year":2019,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Morse code; Mathematics; Curvature; Index (typography); Order (exchange); Mathematical analysis; Finite element method; Cluster analysis; Pure mathematics; Geometry; Statistics; Physics; Computer science","score_opus":0.04374884462397617,"score_gpt":0.29501234263667164,"score_spread":0.2512634980126955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963850835","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2657346,0.0017744611,0.08391133,0.0036644957,0.0002084038,0.0026516505,0.00011938332,0.0007035085,0.64123213],"genre_scores_gemma":[0.94640625,0.00035047284,0.050374527,0.00029484247,0.000031148295,0.00010333254,0.000043704295,0.000044037424,0.0023516866],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861175,0.000033237877,0.00052077754,0.0002618607,0.00030728168,0.00026507545],"domain_scores_gemma":[0.9945239,0.0022738802,0.0002919548,0.0027221323,0.00008961271,0.000098553064],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005056589,0.00027456728,0.0005092086,0.00028823531,0.00024629044,0.00012530135,0.0008573471,0.00017899147,0.00024055534],"category_scores_gemma":[0.00025519045,0.00022566819,0.00012154338,0.0007079432,0.00011222546,0.00008034319,0.0004202336,0.00044172586,0.00033457202],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009034024,0.0005757696,0.00024182377,0.00020416823,0.00014348012,4.109065e-7,0.0013086342,0.00013632786,0.0001385517,0.9894849,0.0026007167,0.0051561515],"study_design_scores_gemma":[0.0014364305,0.00014320906,0.00050260656,0.00023237284,0.00041852603,0.000011189728,0.0059691626,0.031959314,0.00036089512,0.9048147,0.053168707,0.0009828905],"about_ca_topic_score_codex":0.0000015937975,"about_ca_topic_score_gemma":0.000010670947,"teacher_disagreement_score":0.68067163,"about_ca_system_score_codex":0.000023088129,"about_ca_system_score_gemma":0.000026639358,"threshold_uncertainty_score":0.9202482},"labels":[],"label_agreement":null},{"id":"W2963861708","doi":"10.1088/0264-9381/28/1/015008","title":"Pseudo-Riemannian VSI spaces","year":2010,"lang":"en","type":"article","venue":"Classical and Quantum Gravity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Physics; Geodesic; Pure mathematics; Congruence (geometry); Curvature; Space (punctuation); Algebraic number; Signature (topology); Mathematical analysis; Mathematics; Geometry","score_opus":0.025241130310714448,"score_gpt":0.2889030627382083,"score_spread":0.26366193242749386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963861708","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99379635,0.00005881793,0.0008946521,0.0026944946,0.0002996203,0.00008560715,0.00000759419,0.0000719352,0.0020909263],"genre_scores_gemma":[0.99556255,0.000013135902,0.0019617009,0.000115636925,0.000267807,0.000006986733,0.0000045050942,0.000013777563,0.0020538867],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988762,0.000043311844,0.00022756339,0.00031221102,0.0002571046,0.0002835754],"domain_scores_gemma":[0.99898744,0.00028252945,0.000091744,0.0003315696,0.00006940198,0.00023732062],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037606215,0.00017915863,0.00035779204,0.00009063122,0.00018032602,0.0001171771,0.00015382792,0.00019060739,0.00018744044],"category_scores_gemma":[0.00055127987,0.00012392069,0.00014377851,0.00039261396,0.00021087403,0.00010062528,0.000081544706,0.0005363436,0.00005544507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018984638,0.00034407113,0.009556694,0.00005849036,0.00005722996,0.0000175994,0.00016324804,8.115219e-8,0.00419704,0.95814717,0.018666536,0.00877288],"study_design_scores_gemma":[0.0005377564,0.00014578187,0.05008193,0.000020129572,0.00019353504,0.00003447665,0.00022350786,0.0034804333,0.00040628185,0.7778898,0.16650161,0.00048473958],"about_ca_topic_score_codex":0.000021839045,"about_ca_topic_score_gemma":0.000191445,"teacher_disagreement_score":0.18025734,"about_ca_system_score_codex":0.0000057000725,"about_ca_system_score_gemma":0.00001932272,"threshold_uncertainty_score":0.50533396},"labels":[],"label_agreement":null},{"id":"W2963867225","doi":"10.1090/memo/1210","title":"Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow","year":2018,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Singularity; Mathematics; Mean curvature flow; Mean curvature; Curvature; Flow (mathematics); Symmetry (geometry); Rotational symmetry; Dynamics (music); Mathematical analysis; Geometry; Physics","score_opus":0.014588319500585697,"score_gpt":0.28133882919185094,"score_spread":0.26675050969126524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963867225","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38447145,0.0016607197,0.5923879,0.009066409,0.0006832389,0.0018654916,0.0004321836,0.0002870186,0.009145586],"genre_scores_gemma":[0.68643206,0.000042332744,0.30893093,0.0005446268,0.00027322117,0.000042130723,0.000017820177,0.00009054005,0.0036263557],"study_design_codex":"not_applicable","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9973701,0.000117602445,0.0006969901,0.00041906518,0.00080945605,0.00058675866],"domain_scores_gemma":[0.99584115,0.0017439104,0.00083406526,0.00093587046,0.00050143956,0.00014356669],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001461951,0.00034734097,0.0009949674,0.000073209834,0.00032825948,0.00007630611,0.00095257506,0.00016207389,0.00014499346],"category_scores_gemma":[0.0026217424,0.00022496491,0.0011477675,0.0029291688,0.000992398,0.00013860676,0.00025462976,0.00034196634,0.00001625779],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005180323,0.0012599495,0.0014296821,0.0010609723,0.0019127111,4.0331292e-7,0.0034105375,0.000041475905,0.00082734163,0.03762604,0.9344438,0.01793534],"study_design_scores_gemma":[0.0011368997,0.0006114986,0.0007643116,0.00029018184,0.0016123253,0.000013338323,0.006456004,0.4879089,0.0029612384,0.48744807,0.0097143855,0.0010828611],"about_ca_topic_score_codex":0.000046940455,"about_ca_topic_score_gemma":0.000031549374,"teacher_disagreement_score":0.92472935,"about_ca_system_score_codex":0.00016830474,"about_ca_system_score_gemma":0.00005492905,"threshold_uncertainty_score":0.9173803},"labels":[],"label_agreement":null},{"id":"W2963937644","doi":"10.1090/proc/14710","title":"A remark on the non-compactness of 𝑊^{2,𝑑}-immersions of 𝑑-dimensional hypersurfaces","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence","score_opus":0.016569584320563924,"score_gpt":0.2541197566710246,"score_spread":0.23755017235046066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963937644","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98717123,0.00011215147,0.00005827699,0.002465127,0.00008610106,0.0007973674,0.00004081609,0.000012645668,0.009256255],"genre_scores_gemma":[0.99167657,0.00005821118,0.0068272287,0.00026392553,0.00004213141,0.000011868203,9.138579e-7,0.00004764333,0.0010714829],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.99609464,0.000047935788,0.0012721926,0.00042823984,0.0016736013,0.00048340755],"domain_scores_gemma":[0.99257725,0.0027136358,0.0031207826,0.0006501216,0.00081598834,0.00012221413],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019026041,0.0004480718,0.0018687088,0.0000858047,0.00016802654,0.000035503337,0.001367582,0.00015882416,0.00060485693],"category_scores_gemma":[0.0013876178,0.00023000984,0.0019130104,0.0026732,0.0015180394,0.00010877218,0.0005165397,0.00061708695,0.000055777782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009323573,0.011823654,0.030779792,0.019625803,0.011526624,5.5522315e-7,0.0379611,0.00048094746,0.34476483,0.43071896,0.109936275,0.0014490939],"study_design_scores_gemma":[0.0051822746,0.005036305,0.043321684,0.019162862,0.010858484,0.000046898313,0.3093524,0.108000144,0.22187164,0.27242634,0.0012551968,0.0034857558],"about_ca_topic_score_codex":0.000048490332,"about_ca_topic_score_gemma":3.1609233e-7,"teacher_disagreement_score":0.2713913,"about_ca_system_score_codex":0.00007054066,"about_ca_system_score_gemma":0.00010198488,"threshold_uncertainty_score":0.93795294},"labels":[],"label_agreement":null},{"id":"W2964014055","doi":"10.1016/j.jde.2018.04.011","title":"Radial solutions of a fourth order Hamiltonian stationary equation","year":2018,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Lagrangian; Hamiltonian (control theory); Mathematical analysis; Graph; First order; Applied mathematics; Combinatorics; Mathematical optimization","score_opus":0.08135094553843553,"score_gpt":0.3155962296789927,"score_spread":0.23424528414055718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964014055","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1780659,0.000057223984,0.82052296,0.00033398508,0.0004137019,0.000093382354,0.000019110783,0.000008752361,0.00048495719],"genre_scores_gemma":[0.9730422,0.00001176996,0.025898239,0.000016904854,0.00067665393,0.0000031841753,0.000017671362,0.00001394006,0.00031946576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980512,0.00012987592,0.0008906979,0.000104274084,0.00063372444,0.00019021846],"domain_scores_gemma":[0.99661,0.0005446082,0.000964304,0.0001976211,0.0015857113,0.000097792676],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00047275424,0.00012378508,0.00034827436,0.0005958786,0.00019797764,0.00004077973,0.00019567128,0.00008807775,0.0015051682],"category_scores_gemma":[0.002032037,0.00010038278,0.00025436882,0.0009620727,0.00010343848,0.00027852622,0.00003552493,0.00018134895,0.000017025799],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005547761,0.0063661668,0.0034964944,0.00023104613,0.0043468904,0.000015776226,0.015443456,0.0027726772,0.04532888,0.83229715,0.03893583,0.05021087],"study_design_scores_gemma":[0.008964859,0.0037242225,0.065161794,0.00049438403,0.005213916,0.00008655231,0.0032220017,0.26039568,0.0040179663,0.64365506,0.0038238359,0.0012397374],"about_ca_topic_score_codex":0.00001958517,"about_ca_topic_score_gemma":0.000116583215,"teacher_disagreement_score":0.7949763,"about_ca_system_score_codex":0.000060267153,"about_ca_system_score_gemma":0.00024879182,"threshold_uncertainty_score":0.9994076},"labels":[],"label_agreement":null},{"id":"W2964067054","doi":"10.1515/advgeom-2017-0035","title":"A maximum problem of S.-T. Yau for variational <i>p</i>-capacity","year":2017,"lang":"en","type":"article","venue":"Advances in Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hypersurface; Mathematics; RADIUS; Upper and lower bounds; Connection (principal bundle); Surface (topology); Combinatorics; Regular polygon; Mathematical analysis; Limit (mathematics); Geometry","score_opus":0.037741348243716645,"score_gpt":0.32930583331144164,"score_spread":0.291564485067725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964067054","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35297582,0.0034823457,0.5850778,0.0008660292,0.0009055354,0.0015419156,0.00024194343,0.000083663,0.054824926],"genre_scores_gemma":[0.7869978,0.000107077976,0.21230245,0.000030761956,0.000104890714,0.000059624588,0.000008082788,0.00001417562,0.00037516886],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875176,0.0000207416,0.0004311654,0.00024982882,0.0003023426,0.0002441443],"domain_scores_gemma":[0.9981534,0.0005368904,0.00054884265,0.00053911546,0.00017939613,0.000042351938],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007752265,0.0001350053,0.00039309234,0.00030801285,0.00014891798,0.00004148463,0.00045228846,0.000098034776,0.00009663014],"category_scores_gemma":[0.0016227857,0.00011711415,0.00015504855,0.00043548903,0.00009797781,0.00055125094,0.000080925194,0.00013102524,0.0000043609334],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014637096,0.0011392371,0.13896658,0.0013942734,0.00025860753,0.000004235539,0.00038702632,0.00066676317,0.00041585002,0.7512191,0.0019308465,0.10347112],"study_design_scores_gemma":[0.0009506445,0.00007826111,0.012934215,0.000072566116,0.000059876198,0.0000019790432,0.00006569452,0.000609655,0.00041249805,0.9559602,0.02865233,0.0002020357],"about_ca_topic_score_codex":0.000017750952,"about_ca_topic_score_gemma":0.00008749075,"teacher_disagreement_score":0.43402195,"about_ca_system_score_codex":0.000032181793,"about_ca_system_score_gemma":0.00002886396,"threshold_uncertainty_score":0.47757763},"labels":[],"label_agreement":null},{"id":"W2964148724","doi":"10.1007/s10711-018-0353-2","title":"Index of the critical catenoid","year":2018,"lang":"la","type":"article","venue":"Geometriae Dedicata","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Minimal surface; Mathematics; Unit sphere; Differential geometry; Helicoid; Hyperbolic geometry; Ball (mathematics); Projective geometry; Combinatorics; Geometry; Algebraic geometry; Surface (topology); Mathematical analysis","score_opus":0.03254017772206173,"score_gpt":0.31729039401425396,"score_spread":0.2847502162921922,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964148724","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82053906,0.020938255,0.061291303,0.024878254,0.013323019,0.0026375782,0.0014587439,0.00027864738,0.054655146],"genre_scores_gemma":[0.99411124,0.00013554697,0.00084873405,0.00045424313,0.0016750493,0.000011544423,0.000020697806,0.00005937563,0.002683548],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99480903,0.00032155428,0.0013805695,0.00070619007,0.0018770345,0.00090562826],"domain_scores_gemma":[0.9933284,0.0018397679,0.00069639133,0.0026579166,0.0011132768,0.00036426893],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002647618,0.0004553331,0.0010563688,0.0012296544,0.00041818406,0.00013045502,0.0021876644,0.0006113349,0.0060766647],"category_scores_gemma":[0.02513204,0.00030167412,0.0007096302,0.012099295,0.0017319192,0.00018539527,0.001028584,0.0008080195,0.0008669423],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038561333,0.005475524,0.06294102,0.0024334316,0.0038862543,0.000045761546,0.0037567571,0.000010143764,0.0016723722,0.11000726,0.7524605,0.056925353],"study_design_scores_gemma":[0.0079380125,0.002450696,0.18450037,0.0016901392,0.010767991,0.00021000722,0.004916571,0.0072378423,0.024478422,0.11643047,0.6356782,0.0037013046],"about_ca_topic_score_codex":0.00024495227,"about_ca_topic_score_gemma":0.000082923485,"teacher_disagreement_score":0.17357221,"about_ca_system_score_codex":0.00008700683,"about_ca_system_score_gemma":0.00032347755,"threshold_uncertainty_score":0.99994355},"labels":[],"label_agreement":null},{"id":"W2964158723","doi":"10.1016/j.jmaa.2015.06.011","title":"Multiply warped products with a quarter-symmetric connection","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Program for New Century Excellent Talents in University; National Natural Science Foundation of China","keywords":"Connection (principal bundle); Quarter (Canadian coin); Mathematics; Curvature; Symmetric space; Scalar (mathematics); Space (punctuation); Einstein; Pure mathematics; Mathematical analysis; Geometry; Mathematical physics; Computer science","score_opus":0.0380272719821415,"score_gpt":0.2862070457871307,"score_spread":0.24817977380498918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964158723","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13713367,0.0002895961,0.85949653,0.0013062236,0.000012517421,0.00025894982,0.0000033183414,0.000022484359,0.0014766832],"genre_scores_gemma":[0.92398155,0.000023781507,0.07547419,0.000033215663,0.00017171154,0.000032618147,0.0000035250082,0.000011999509,0.0002674213],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982537,0.00006810174,0.0007433452,0.00019903363,0.0005730167,0.00016282815],"domain_scores_gemma":[0.99735314,0.0004391265,0.00068188115,0.00031343987,0.0009542054,0.00025821844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012083463,0.00015970117,0.00070807117,0.0008942892,0.00008808219,0.000097115364,0.00016315309,0.00006872177,0.000048623468],"category_scores_gemma":[0.0007439453,0.00009525541,0.00022471236,0.004883806,0.000061764134,0.00016739331,0.000024304436,0.00019718759,0.000013792169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040548618,0.010236327,0.01585674,0.0010274103,0.02346485,0.00005399895,0.0042391485,0.0013133917,0.00091092085,0.8790011,0.017610738,0.04587991],"study_design_scores_gemma":[0.0055774054,0.0018340204,0.0067111365,0.00019171607,0.042112727,0.0008254966,0.013193529,0.04570805,0.0011034653,0.85901856,0.022309128,0.0014147834],"about_ca_topic_score_codex":0.000004712788,"about_ca_topic_score_gemma":0.000009455384,"teacher_disagreement_score":0.7868479,"about_ca_system_score_codex":0.000036084602,"about_ca_system_score_gemma":0.000056142522,"threshold_uncertainty_score":0.3884403},"labels":[],"label_agreement":null},{"id":"W2964159702","doi":"10.1002/cpa.21528","title":"Global <i>C</i><sup>2</sup>‐Estimates for Convex Solutions of Curvature Equations","year":2014,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":114,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Principal curvature; Curvature; Regular polygon; A priori and a posteriori; Nonlinear system; Mathematical analysis; Principal (computer security); Elliptic curve; Pure mathematics; Mean curvature; Geometry; Physics","score_opus":0.06115048994928707,"score_gpt":0.31246717871227014,"score_spread":0.2513166887629831,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964159702","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0047745914,0.00094459485,0.9603311,0.0020818468,0.00003142998,0.0011219274,0.00023182927,0.00016010604,0.03032262],"genre_scores_gemma":[0.6879734,0.000061601444,0.31132898,0.00014126518,0.00003507717,0.00021921934,0.00010929295,0.000024311195,0.000106870495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858934,0.000039170412,0.0006218521,0.00022948555,0.00024913123,0.00027101126],"domain_scores_gemma":[0.9942528,0.0032155018,0.00037758792,0.001807322,0.00024905909,0.00009775797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080188806,0.0002443296,0.00057139597,0.0001399234,0.00046807766,0.00006616349,0.0007258795,0.00019026372,0.000024544917],"category_scores_gemma":[0.001289224,0.00020913397,0.00016142876,0.00070767093,0.00023233634,0.0000661769,0.00023293748,0.00019011987,0.000012113036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005263303,0.000537262,0.000023653141,0.0002135195,0.00013741759,1.7489079e-8,0.00042506767,0.0002181935,0.00004753322,0.9905625,0.005337067,0.002492515],"study_design_scores_gemma":[0.00061571895,0.0000784389,0.00003269026,0.000103231054,0.0006129414,0.0000029051662,0.0010256623,0.09883805,0.000089945,0.8906335,0.0076936684,0.00027319774],"about_ca_topic_score_codex":0.0000021306685,"about_ca_topic_score_gemma":0.00001538765,"teacher_disagreement_score":0.6831988,"about_ca_system_score_codex":0.000029466451,"about_ca_system_score_gemma":0.000038947474,"threshold_uncertainty_score":0.85282356},"labels":[],"label_agreement":null},{"id":"W2964213905","doi":"10.1016/j.aim.2014.07.001","title":"Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flows","year":2014,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Harmonic map; SPHERES; Harmonic; Homotopy; Bounded function; Singularity; Uniform boundedness; Mathematical analysis; Curvature; Pure mathematics; Homotopy group; Set (abstract data type); Geometry","score_opus":0.02136689585497464,"score_gpt":0.29787970679397835,"score_spread":0.2765128109390037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964213905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61071926,0.0043416703,0.37057152,0.00017156643,0.00013156803,0.0017200307,0.000054551158,0.000046613593,0.012243196],"genre_scores_gemma":[0.8906384,0.0002910654,0.10868503,0.000022289592,0.000031791416,0.00008333646,0.0000020176558,0.000018325207,0.00022773673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985884,0.000055496923,0.00065750786,0.00018858841,0.000338597,0.00017141165],"domain_scores_gemma":[0.9976646,0.0011578776,0.0003914728,0.0006146422,0.00012461033,0.0000468341],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050879404,0.00015016751,0.00048125547,0.0002690137,0.000045921803,0.000017087274,0.00038614077,0.00006929797,0.00004920926],"category_scores_gemma":[0.0011248855,0.00010121688,0.000096790325,0.0022561948,0.00007949014,0.00011270335,0.00010457738,0.00012667423,0.0000038034889],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020367279,0.0015016886,0.013751479,0.004367565,0.00016606672,5.605078e-7,0.0015921845,0.0017473167,0.002030986,0.8578701,0.0012581366,0.11569358],"study_design_scores_gemma":[0.00054147333,0.00011127419,0.0024687457,0.00028279875,0.00017942293,0.000004252464,0.0020471467,0.0027233583,0.004736613,0.9734576,0.013153489,0.0002938702],"about_ca_topic_score_codex":0.000005657162,"about_ca_topic_score_gemma":0.0001727422,"teacher_disagreement_score":0.27991912,"about_ca_system_score_codex":0.000016092676,"about_ca_system_score_gemma":0.000020189816,"threshold_uncertainty_score":0.41275045},"labels":[],"label_agreement":null},{"id":"W2964220041","doi":"10.48550/arxiv.1412.3777","title":"Curvature-dimension estimates for the Laplace-Beltrami operator of a\\n totally geodesic foliation","year":2014,"lang":"","type":"article","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Foliation (geology); Mathematics; Semigroup; Geodesic; Harnack's inequality; Operator (biology); Laplace operator; Sobolev inequality; Pure mathematics; Curvature; Mathematical analysis; Ricci curvature; Laplace–Beltrami operator; Dimension (graph theory); Bounded function; Heat kernel; Elliptic operator; Harnack's principle; Sobolev space; Geometry; p-Laplacian","score_opus":0.055904943219092534,"score_gpt":0.20081027411244373,"score_spread":0.1449053308933512,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964220041","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45783275,0.0009688628,0.5376982,0.0002783468,0.0005527431,0.0011169101,0.000049225644,0.00006867299,0.0014342777],"genre_scores_gemma":[0.99440193,0.00021242497,0.0020204647,0.00011744218,0.00016186532,0.0000027827184,0.000027236922,0.000051641186,0.003004237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.997657,0.0002007317,0.00058893155,0.0007590205,0.00023220299,0.0005621098],"domain_scores_gemma":[0.9944535,0.0027700295,0.0007426541,0.0010817696,0.00077580975,0.00017624596],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013183246,0.0004756097,0.0008007136,0.00033428762,0.0005346193,0.00011114541,0.0007478672,0.00040225897,0.0002271437],"category_scores_gemma":[0.0013096622,0.00038385415,0.0006310689,0.0020121662,0.00021589187,0.00040356893,0.00017852265,0.00036015076,0.000054146592],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005190937,0.0008093879,0.0040510036,0.0006653033,0.0018209458,0.0000093256085,0.00067310565,0.17102747,0.0016120784,0.81206095,0.004293361,0.0024579782],"study_design_scores_gemma":[0.0021650603,0.00050225627,0.0023503064,0.00017632729,0.0039178357,0.000003335535,0.0006708393,0.95180666,0.0019528527,0.032579087,0.0032852485,0.00059016945],"about_ca_topic_score_codex":0.000087933906,"about_ca_topic_score_gemma":0.00009639471,"teacher_disagreement_score":0.78077924,"about_ca_system_score_codex":0.00012540442,"about_ca_system_score_gemma":0.00013057743,"threshold_uncertainty_score":0.99986136},"labels":[],"label_agreement":null},{"id":"W2964290112","doi":"10.1017/s0956792519000032","title":"Dynamic and stochastic propagation of the Brenier optimal mass transport","year":2019,"lang":"en","type":"article","venue":"European Journal of Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Lagrangian; Combinatorics; Type (biology); Space (punctuation); Euclidean space; Brownian motion; Mathematical physics; Mathematics; Physics; Quantum mechanics; Computer science","score_opus":0.010426752897867875,"score_gpt":0.21637751573053166,"score_spread":0.20595076283266378,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964290112","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78495085,0.00005171126,0.20795348,0.00005401817,0.00009117055,0.00026171253,0.0000031202987,0.000008369202,0.006625555],"genre_scores_gemma":[0.9156366,0.000007197268,0.083997615,0.000014462642,0.000028275428,6.521171e-7,6.377215e-7,0.000034251716,0.00028030746],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99838936,0.0000461582,0.00082730316,0.00011025947,0.0004872228,0.0001396967],"domain_scores_gemma":[0.99825215,0.0001611509,0.0010661293,0.00030634497,0.0001545886,0.000059634986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001456131,0.00015807734,0.00044055597,0.00013948767,0.000040067785,0.000020763779,0.0003181616,0.000032370914,0.00007068361],"category_scores_gemma":[0.00008725861,0.000094775874,0.0001731523,0.0003406703,0.000062139414,0.00006661227,0.000037187187,0.00026715678,0.000013646502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012848678,0.005254338,0.0015762816,0.012540885,0.0059091304,0.00017771774,0.06985468,0.07585545,0.24623528,0.53272045,0.0036036766,0.04498723],"study_design_scores_gemma":[0.03276355,0.004754083,0.044398822,0.008410436,0.016698968,0.002560478,0.04865059,0.26170635,0.020767234,0.5489852,0.00432573,0.005978549],"about_ca_topic_score_codex":8.75034e-8,"about_ca_topic_score_gemma":2.6255216e-7,"teacher_disagreement_score":0.22546805,"about_ca_system_score_codex":0.00001910763,"about_ca_system_score_gemma":0.000033900786,"threshold_uncertainty_score":0.3864848},"labels":[],"label_agreement":null},{"id":"W2964809261","doi":"10.1007/s00222-019-00908-y","title":"Singularity formation for the two-dimensional harmonic map flow into $$S^2$$","year":2019,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":63,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Singularity; Convergence (economics); Bounded function; Interpretation (philosophy); Projection (relational algebra); Pure mathematics; Operator (biology); Set (abstract data type); Applied mathematics; Algorithm; Mathematical analysis; Computer science","score_opus":0.0437480077611116,"score_gpt":0.3062249273534846,"score_spread":0.262476919592373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964809261","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29427066,0.00089038373,0.6945823,0.0045811753,0.0011002785,0.0027965563,0.000021308215,0.00025485383,0.0015024956],"genre_scores_gemma":[0.8446539,0.0000041033195,0.15032864,0.0002754386,0.00021790514,0.00023969909,0.00006334378,0.000050003804,0.0041669547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99825877,0.0000678024,0.0006123022,0.000256092,0.0005188798,0.0002861421],"domain_scores_gemma":[0.9976232,0.0010981926,0.00033069623,0.000618066,0.00026494035,0.00006488826],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013759971,0.00021498832,0.00038019867,0.00015828284,0.00030473692,0.0001340516,0.00031879445,0.000096618474,0.0009275644],"category_scores_gemma":[0.0005036935,0.00014042703,0.00044645296,0.00042985482,0.00005034309,0.0003246492,0.00009438343,0.00016798069,0.00066813116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006779019,0.0009054129,0.00019707969,0.0025840926,0.0007213061,0.0000021402816,0.0019973668,0.0007875572,0.00177311,0.94276875,0.040811524,0.0073838434],"study_design_scores_gemma":[0.0007663468,0.00004326761,0.00006974686,0.000117697804,0.00029625595,0.0000115338735,0.00029948683,0.14542305,0.0005636621,0.8488934,0.003316272,0.0001992731],"about_ca_topic_score_codex":0.0000072250386,"about_ca_topic_score_gemma":0.000022731063,"teacher_disagreement_score":0.55038327,"about_ca_system_score_codex":0.00006523053,"about_ca_system_score_gemma":0.00003257049,"threshold_uncertainty_score":0.9999857},"labels":[],"label_agreement":null},{"id":"W2966195038","doi":"","title":"Some Classes of Lorentzian $\\alpha $-Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection","year":2016,"lang":"en","type":"article","venue":"Czech digital mathematics library","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Mathematics; Pure mathematics; Connection (principal bundle); Quarter (Canadian coin); Metric (unit); Mathematical analysis; Combinatorics; Geometry; Fundamental theorem of Riemannian geometry; Geography; Economics","score_opus":0.024893461620931586,"score_gpt":0.24931979092772333,"score_spread":0.22442632930679174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2966195038","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90237117,0.0019485484,0.03950267,0.001014676,0.00064425415,0.0010142571,0.00025841812,0.0009254086,0.05232063],"genre_scores_gemma":[0.9851327,0.00010363828,0.010897888,0.00005664904,0.00032133778,0.000029339328,0.000025812527,0.00011142528,0.0033212232],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967549,0.000059871993,0.0013404584,0.000501716,0.0007774291,0.00056562596],"domain_scores_gemma":[0.9954169,0.0024217821,0.00092299544,0.00084014493,0.00013137463,0.0002668158],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00037359967,0.0004605313,0.0009456911,0.0019717277,0.00010203014,0.00035959258,0.00062985544,0.00026586393,0.0003768312],"category_scores_gemma":[0.0022927313,0.00030827124,0.00054649066,0.004102279,0.00010171384,0.0035278706,0.00024713302,0.0001954939,0.00017492652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058934515,0.0037486616,0.0118773645,0.0024463215,0.0012094817,0.00006501005,0.00080898794,0.0000018544,0.0012147337,0.88593435,0.027006608,0.06562767],"study_design_scores_gemma":[0.0016906009,0.00075321994,0.0019345218,0.0009410157,0.0004347458,0.000085137886,0.0024080295,0.0006604464,0.012833018,0.97342753,0.0037340424,0.001097663],"about_ca_topic_score_codex":0.000001653363,"about_ca_topic_score_gemma":6.0052315e-7,"teacher_disagreement_score":0.08749319,"about_ca_system_score_codex":0.00005489319,"about_ca_system_score_gemma":0.00008736934,"threshold_uncertainty_score":0.99993694},"labels":[],"label_agreement":null},{"id":"W2966969174","doi":"10.1090/proc/15041","title":"The Heintze-Karcher inequality for metric measure spaces","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Pure mathematics; Ricci curvature; Metric space; Curvature; Measure (data warehouse); Context (archaeology); Metric (unit); Mathematical analysis; Geometry; Computer science","score_opus":0.07631809189471088,"score_gpt":0.33405648091738943,"score_spread":0.25773838902267854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2966969174","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7687129,0.0028458417,0.1128486,0.09000852,0.0007321773,0.009842232,0.00028715227,0.00078790734,0.013934682],"genre_scores_gemma":[0.88139707,0.00021939451,0.11598263,0.00057430344,0.0004972907,0.0004926568,0.000004116323,0.00013287306,0.00069967424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99596775,0.00005995461,0.001168169,0.00069746753,0.0014992041,0.00060745084],"domain_scores_gemma":[0.99267817,0.0029233624,0.002712628,0.0006437891,0.0008456245,0.0001964025],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0037232363,0.0005745948,0.0017168147,0.000061558865,0.00042544698,0.0003421981,0.002269826,0.0002674857,0.000019004274],"category_scores_gemma":[0.013896056,0.00029577749,0.0027345768,0.0022867313,0.00096385117,0.00007529898,0.0017681654,0.0013173306,0.000006682409],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030837406,0.0015236244,0.002809217,0.015290557,0.009400133,3.4499215e-7,0.013715006,0.000017025006,0.0022110061,0.602795,0.33757797,0.014351707],"study_design_scores_gemma":[0.00026400443,0.000105929925,0.00044097437,0.00026770472,0.0013482466,0.0000019612933,0.006532275,0.0046388577,0.0008085101,0.98224443,0.0028751693,0.00047195455],"about_ca_topic_score_codex":0.000026120419,"about_ca_topic_score_gemma":0.0000016590349,"teacher_disagreement_score":0.3794494,"about_ca_system_score_codex":0.00015935655,"about_ca_system_score_gemma":0.00013228483,"threshold_uncertainty_score":0.99994946},"labels":[],"label_agreement":null},{"id":"W2969393922","doi":"10.4310/cag.2019.v27.n2.a7","title":"Inverse curvature flow in anti-de Sitter-Schwarzschild manifold","year":2019,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University; McGill University","funders":"","keywords":"Mathematics; Schwarzschild radius; Manifold (fluid mechanics); Inverse; De Sitter universe; Curvature; Flow (mathematics); Pure mathematics; Mathematical physics; Mathematical analysis; Geometry; Classical mechanics; Physics; Universe; Gravitation","score_opus":0.026373823435563243,"score_gpt":0.3048997774443107,"score_spread":0.27852595400874747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969393922","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.991519,0.002018534,0.0013553553,0.0010292459,0.00002946555,0.00019251835,0.000014941732,0.00003267389,0.0038082663],"genre_scores_gemma":[0.9756235,0.0013178294,0.021975204,0.0002988396,0.000016998065,0.00001713923,0.00009507091,0.00001705858,0.0006383775],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9981715,0.00026572213,0.00060526346,0.0003723491,0.00024981512,0.00033531428],"domain_scores_gemma":[0.99681395,0.00055499375,0.00019870738,0.0022544672,0.00008501557,0.00009285383],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014254826,0.00021700138,0.00072709675,0.0030384879,0.000099764795,0.00009992912,0.0008652957,0.00022924856,0.00041666438],"category_scores_gemma":[0.0003731461,0.00020164855,0.00027746035,0.011096006,0.000059406488,0.00020593178,0.00044289872,0.00070918776,0.00004606873],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000046736827,0.00037829657,0.98747337,0.00004134106,0.000541717,0.000003946333,0.00046679395,0.0005435211,0.00006092842,0.007771719,0.00059066556,0.002123032],"study_design_scores_gemma":[0.0009170508,0.000028375982,0.8706206,0.000092854534,0.0010981971,0.0000053080125,0.0015331551,0.10950994,0.000024801298,0.008885267,0.0067823795,0.0005020328],"about_ca_topic_score_codex":0.00030096326,"about_ca_topic_score_gemma":0.0033829927,"teacher_disagreement_score":0.11685273,"about_ca_system_score_codex":0.00008752808,"about_ca_system_score_gemma":0.000031179203,"threshold_uncertainty_score":0.82229894},"labels":[],"label_agreement":null},{"id":"W2969517167","doi":"10.1515/crelle-2019-0021","title":"CD meets CAT","year":2019,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Physics; Combinatorics; Mathematics","score_opus":0.025934583724227852,"score_gpt":0.3176153020175381,"score_spread":0.29168071829331027,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969517167","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8794697,0.03783068,0.014787002,0.0074231816,0.0029652517,0.00087068445,0.000022059323,0.00022944754,0.05640199],"genre_scores_gemma":[0.8534202,0.021014277,0.057225574,0.0007875695,0.004834753,0.00001668866,0.000015264233,0.0004251332,0.062260535],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9945418,0.00031146104,0.0019229125,0.00046646554,0.0017269583,0.0010303503],"domain_scores_gemma":[0.99482656,0.000830212,0.0019663328,0.0008158323,0.0007866786,0.00077436597],"candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0032642216,0.0007127955,0.0015347356,0.0010979327,0.00074809196,0.0010583343,0.0010424101,0.00033749634,0.0036054095],"category_scores_gemma":[0.0010949663,0.00048506606,0.0012991094,0.0010393673,0.00007679461,0.0008122247,0.00020790451,0.0015676512,0.0007705134],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010251242,0.006457865,0.007118478,0.0034516186,0.019533195,0.0068799215,0.0154650295,0.0014933054,0.038297754,0.16047417,0.6656733,0.0741302],"study_design_scores_gemma":[0.005451676,0.0010095256,0.00039441188,0.002095254,0.0024469802,0.01345648,0.0040109474,0.001581672,0.0033080962,0.42466128,0.5395327,0.0020509646],"about_ca_topic_score_codex":0.000007987839,"about_ca_topic_score_gemma":0.000024517107,"teacher_disagreement_score":0.2641871,"about_ca_system_score_codex":0.00032389615,"about_ca_system_score_gemma":0.00022000718,"threshold_uncertainty_score":0.99997866},"labels":[],"label_agreement":null},{"id":"W2969573452","doi":"10.48550/arxiv.1908.07036","title":"On the structure of RCD spaces with upper curvature bounds","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Manifold (fluid mechanics); Curvature; Boundary (topology); Pure mathematics; Bounded function; Scalar curvature; Ricci curvature; Mathematical analysis; Sectional curvature; Space (punctuation); Metric space; Topology (electrical circuits); Metric (unit); Riemannian manifold; Regular polygon; Geometry; Combinatorics; Computer science","score_opus":0.04981376254780069,"score_gpt":0.19060379716776343,"score_spread":0.14079003461996276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969573452","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9884269,0.00010642685,0.0053295847,0.00023741298,0.00022389462,0.00039666225,0.00008943107,0.000046377285,0.0051432676],"genre_scores_gemma":[0.99333,0.00004797859,0.00028519885,0.00009737156,0.000071791306,2.4316716e-7,0.000028961043,0.000036833215,0.0061016297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99845755,0.00013530107,0.0002080061,0.00067455345,0.00024108315,0.00028353356],"domain_scores_gemma":[0.99703395,0.0005456392,0.00056676863,0.0015030645,0.0002755671,0.000074978394],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00020048907,0.00041910302,0.00065729703,0.00033232794,0.00011220051,0.00007988684,0.00091188704,0.0005115979,0.0006376526],"category_scores_gemma":[0.0001620546,0.00025848782,0.0003563398,0.0010994704,0.00015477523,0.00008471925,0.00039954993,0.0011908317,0.000026116657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022281404,0.00020848306,0.014867209,0.00045658203,0.0016863443,0.000050196268,0.00054786436,0.061301403,0.00006412218,0.9061599,0.014393931,0.000041183885],"study_design_scores_gemma":[0.0016149511,0.0004922099,0.0055321064,0.0010419874,0.003555032,0.000010162885,0.002659121,0.01881664,0.0008202423,0.9568508,0.0068750246,0.0017317047],"about_ca_topic_score_codex":0.000061640305,"about_ca_topic_score_gemma":0.000116106065,"teacher_disagreement_score":0.050690953,"about_ca_system_score_codex":0.000084280684,"about_ca_system_score_gemma":0.00013685612,"threshold_uncertainty_score":0.9999867},"labels":[],"label_agreement":null},{"id":"W2972425494","doi":"10.1007/s12220-019-00282-4","title":"Stability of Einstein Metrics on Fiber Bundles","year":2019,"lang":"de","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Einstein; Mathematics; Differential geometry; Geodesic; Stability (learning theory); Merge (version control); Pure mathematics; Einstein's constant; Fiber bundle; Mathematical analysis; Bundle; Mathematical physics; Computer science","score_opus":0.026470593593471817,"score_gpt":0.2689179918484657,"score_spread":0.2424473982549939,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2972425494","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95411766,0.026279528,0.0132212695,0.00025043887,0.0009758433,0.00036355446,0.00011253408,0.000014710037,0.004664437],"genre_scores_gemma":[0.98889506,0.0023172088,0.0044323634,0.000064984706,0.0004640893,0.0000014581409,0.000020305579,0.0000566409,0.0037478998],"study_design_codex":"observational","study_design_gemma":"meta_analysis","domain_scores_codex":[0.9893404,0.00066425314,0.004414053,0.0006704374,0.0041553723,0.0007554764],"domain_scores_gemma":[0.9818732,0.0052819196,0.0071664373,0.0017322508,0.0034420083,0.0005041985],"candidate_categories":["metaresearch","metaepi_narrow","bibliometrics","insufficient_payload"],"consensus_categories":["bibliometrics","insufficient_payload"],"category_scores_codex":[0.0077305236,0.00071563764,0.00466486,0.027704304,0.00011384664,0.00019356504,0.0013468084,0.000616371,0.016323263],"category_scores_gemma":[0.0092623755,0.00055050146,0.0056796623,0.093617804,0.00014673891,0.00043749,0.00021885926,0.0013368768,0.00080002024],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013727939,0.016331358,0.6464199,0.0027516256,0.20758875,0.0001846603,0.0015017354,0.026603507,0.00037067177,0.003070906,0.016227793,0.07757632],"study_design_scores_gemma":[0.016437707,0.020844761,0.23109679,0.0015977758,0.5024782,0.000075155076,0.013254707,0.03657712,0.011492622,0.005715434,0.1542284,0.006201316],"about_ca_topic_score_codex":0.00011822211,"about_ca_topic_score_gemma":0.000014552225,"teacher_disagreement_score":0.41532308,"about_ca_system_score_codex":0.0005398325,"about_ca_system_score_gemma":0.00035081687,"threshold_uncertainty_score":0.99997795},"labels":[],"label_agreement":null},{"id":"W2972607694","doi":"10.1080/16583655.2019.1663033","title":"On the existence of an almost generalized weakly-symmetric Sasakian manifold admitting quarter symmetric metric connection","year":2019,"lang":"en","type":"article","venue":"Journal of Taibah University for Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Mathematics; Metric connection; Quarter (Canadian coin); Pure mathematics; Manifold (fluid mechanics); Metric (unit); Symmetric closure; Mathematical analysis; Ring of symmetric functions; Fundamental theorem of Riemannian geometry; Geometry","score_opus":0.029799314086610282,"score_gpt":0.2663282111711716,"score_spread":0.23652889708456132,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2972607694","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9906585,0.00007052347,0.0050514443,0.00029443187,0.0003973745,0.00026647293,0.000006811241,0.000009817848,0.0032445907],"genre_scores_gemma":[0.99065536,0.000018622215,0.008471743,0.00006845608,0.00005785341,2.249161e-7,6.1253866e-7,0.000008228494,0.0007189125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9977136,0.00012444792,0.0004685641,0.00027758378,0.0010940689,0.00032168312],"domain_scores_gemma":[0.995632,0.0014535948,0.0012593433,0.00042469168,0.0010607275,0.0001696369],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0037114748,0.0001580293,0.00044717247,0.0037232663,0.00035466655,0.00008962785,0.0011756341,0.000079290185,0.0000877189],"category_scores_gemma":[0.0027777278,0.00010923871,0.00037781664,0.012340961,0.000111344096,0.0008201762,0.00008039236,0.0002604185,0.000007747414],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005224595,0.0011893214,0.0046085664,0.0001834923,0.0003779114,0.00003753841,0.0010771503,0.0008116041,0.008029209,0.9725993,0.0029069418,0.0076564476],"study_design_scores_gemma":[0.030188896,0.046024792,0.13398136,0.001884454,0.007246078,0.0014082504,0.1583121,0.3047007,0.07010404,0.20532662,0.035155546,0.0056671766],"about_ca_topic_score_codex":0.000041793865,"about_ca_topic_score_gemma":0.000010829098,"teacher_disagreement_score":0.7672728,"about_ca_system_score_codex":0.00024891275,"about_ca_system_score_gemma":0.00019648756,"threshold_uncertainty_score":0.59294224},"labels":[],"label_agreement":null},{"id":"W2972658058","doi":"10.1007/s00526-022-02420-3","title":"A Bochner formula on path space for the Ricci flow","year":2023,"lang":"en","type":"preprint","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Ricci flow; Mathematics; Hessian matrix; Path (computing); Space (punctuation); Mathematical proof; Flow (mathematics); Pure mathematics; Mathematical analysis; Ricci curvature; Geometry; Applied mathematics","score_opus":0.10038086003284881,"score_gpt":0.33679908646337686,"score_spread":0.23641822643052807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2972658058","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0015454058,0.0001275535,0.9938126,0.0016524938,0.00082800514,0.0010406363,0.00080610573,0.00006793967,0.000119255805],"genre_scores_gemma":[0.9937988,0.000093943345,0.00267364,0.000032912238,0.00057953567,0.000716097,0.0005292249,0.000049177,0.0015267015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99814814,0.000094835246,0.000645644,0.00041425053,0.00041151818,0.00028559082],"domain_scores_gemma":[0.99563754,0.0027885376,0.00046136556,0.00068271544,0.0003331114,0.0000967124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044021913,0.00029757383,0.00053892634,0.0002753979,0.00047396688,0.00017076668,0.00028358924,0.00031086468,0.00014278796],"category_scores_gemma":[0.0021110391,0.00020369954,0.0005050114,0.0004634245,0.00006515461,0.000049480543,0.00025695347,0.00035515492,0.000012604955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028175025,0.0002816673,0.000007261059,0.00014683025,0.00060698827,3.3486077e-7,0.0006435762,0.005608363,0.000056419896,0.9857488,0.004824934,0.0020466049],"study_design_scores_gemma":[0.0004971117,0.000084729916,0.00060570316,0.00008893563,0.0013945156,2.409901e-7,0.000095615644,0.95746326,0.000061431696,0.038349736,0.0011134483,0.00024527646],"about_ca_topic_score_codex":0.00014463284,"about_ca_topic_score_gemma":0.00012339793,"teacher_disagreement_score":0.99225336,"about_ca_system_score_codex":0.000035110483,"about_ca_system_score_gemma":0.000116087285,"threshold_uncertainty_score":0.8306626},"labels":[],"label_agreement":null},{"id":"W2972794275","doi":"10.4153/s000843951900050x","title":"Hypersurfaces with Prescribed Boundary and Small Steklov Eigenvalues","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université Laval","funders":"","keywords":"Mathematics; Hypersurface; Unicode; Eigenvalues and eigenvectors; Mathematical analysis; Boundary (topology); Pure mathematics; Perturbation (astronomy); Physics","score_opus":0.018876486595281988,"score_gpt":0.214102132189434,"score_spread":0.195225645594152,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2972794275","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9421323,0.0006496889,0.0006253939,0.0022641532,0.000045393368,0.00051563507,0.00001691145,0.00006404367,0.0536865],"genre_scores_gemma":[0.9601645,0.000016430382,0.019738955,0.00057395507,0.000053872518,0.000024982677,0.000008599014,0.000061014976,0.019357713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984127,0.00006749887,0.00031633346,0.00038333546,0.00029989253,0.00052022457],"domain_scores_gemma":[0.9982955,0.00046444306,0.00008892387,0.00047835757,0.000098293,0.0005745259],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00048429798,0.00026303832,0.0005120818,0.00021762148,0.0001305966,0.00020183816,0.00023305714,0.00014777963,0.013778733],"category_scores_gemma":[0.0003888592,0.00019122548,0.000084205596,0.0003226829,0.00012815271,0.000043217235,0.000042387328,0.00023668102,0.0035160473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002290092,0.0007784142,0.023923587,0.0046105497,0.0021093623,0.00046820115,0.008039151,0.000054786837,0.00038740865,0.787254,0.16105683,0.011088714],"study_design_scores_gemma":[0.0026119617,0.00075123063,0.003957916,0.000809149,0.00087933656,0.00024646922,0.0051991805,0.0013680914,0.00022884492,0.23999895,0.7418339,0.0021149481],"about_ca_topic_score_codex":0.0006735898,"about_ca_topic_score_gemma":0.0023917733,"teacher_disagreement_score":0.5807771,"about_ca_system_score_codex":0.000072703915,"about_ca_system_score_gemma":0.00016872643,"threshold_uncertainty_score":0.99725986},"labels":[],"label_agreement":null},{"id":"W2973192169","doi":"10.1007/s10455-019-09686-5","title":"On the linear stability of nearly Kähler 6-manifolds","year":2019,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Max-Planck-Gesellschaft","keywords":"Betti number; Mathematics; Differential geometry; Manifold (fluid mechanics); Ricci flow; Pure mathematics; Hyperkähler manifold; Mathematical analysis; Ricci-flat manifold; Ricci curvature; Geometry; Scalar curvature; Curvature","score_opus":0.049424326744987576,"score_gpt":0.31869136130366527,"score_spread":0.2692670345586777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2973192169","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9946368,0.00053890806,0.0006088602,0.0007606036,0.000030654104,0.00012298956,0.00007661221,0.000009869393,0.0032147346],"genre_scores_gemma":[0.99919,0.00008269463,0.00024342682,0.00027759242,0.00002279213,0.0000018800102,0.000007667705,0.000005891629,0.00016809045],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9980596,0.000120108234,0.000615161,0.00033015473,0.0006283155,0.0002466938],"domain_scores_gemma":[0.9975926,0.0006539667,0.0004333637,0.0007762207,0.00045689926,0.000086926186],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014477365,0.00019393045,0.00084617635,0.00022635734,0.00005413434,0.000028311399,0.0002996604,0.00012409553,0.0014931238],"category_scores_gemma":[0.00057878526,0.00011499301,0.0007499845,0.0057364805,0.000098236495,0.00008325264,0.00010675066,0.00013337896,0.000024009074],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000091958806,0.0008645517,0.8387992,0.00015530072,0.00641053,0.0000013752568,0.00010154822,0.00014343444,0.00011709083,0.14720687,0.0028501356,0.0032579978],"study_design_scores_gemma":[0.00038796302,0.0005771743,0.9247047,0.000050047824,0.0030785126,9.428214e-7,0.000809885,0.0023409624,0.0020199022,0.06483476,0.00080623955,0.00038891673],"about_ca_topic_score_codex":0.00022970895,"about_ca_topic_score_gemma":0.000087371845,"teacher_disagreement_score":0.08590549,"about_ca_system_score_codex":0.000008872292,"about_ca_system_score_gemma":0.000025087837,"threshold_uncertainty_score":0.9994196},"labels":[],"label_agreement":null},{"id":"W2973332738","doi":"10.1007/s10455-020-09735-4","title":"The mean curvature of first-order submanifolds in exceptional geometries with torsion","year":2020,"lang":"en","type":"preprint","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University; Université du Québec à Montréal","funders":"","keywords":"Torsion (gastropod); Submanifold; Mathematics; Pure mathematics; Curvature; Associative property; First order; Mean curvature; Fold (higher-order function); Ambient space; Mathematical analysis; Geometry; Computer science","score_opus":0.04353876551920328,"score_gpt":0.3170518585579478,"score_spread":0.27351309303874455,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2973332738","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9766989,0.01362914,0.0041018734,0.0040697525,0.0000846708,0.00030261037,0.00040538062,0.000020030982,0.0006876531],"genre_scores_gemma":[0.994578,0.0035507127,0.0013660962,0.00012568268,0.0000936786,0.000009153695,0.0001233322,0.00001780831,0.00013554908],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9961922,0.00013074583,0.0012274462,0.00073373836,0.0012824245,0.00043341977],"domain_scores_gemma":[0.99602467,0.00054704706,0.001289932,0.00082326715,0.00113818,0.00017692265],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013877875,0.0005100303,0.0018374004,0.0008423431,0.0001319765,0.00012173957,0.00067380053,0.00048758645,0.00019018285],"category_scores_gemma":[0.0008349224,0.00031826345,0.00088289805,0.014929747,0.00027734475,0.00011222393,0.0006941377,0.0005945042,0.0000029283153],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028053878,0.0005540244,0.9651624,0.0007476507,0.011120132,0.000013160355,0.00019666483,0.0010936998,0.000004879319,0.012363357,0.006233292,0.002230234],"study_design_scores_gemma":[0.00055121904,0.00032260042,0.9263463,0.0003147454,0.0060809064,0.000003582142,0.00087621436,0.0017844009,0.00010660024,0.05978312,0.003108976,0.00072134106],"about_ca_topic_score_codex":0.0007806154,"about_ca_topic_score_gemma":0.006973089,"teacher_disagreement_score":0.04741976,"about_ca_system_score_codex":0.000036030433,"about_ca_system_score_gemma":0.000114179966,"threshold_uncertainty_score":0.9999269},"labels":[],"label_agreement":null},{"id":"W2973474489","doi":"10.48550/arxiv.1909.09575","title":"Generalized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Austrian Science Fund; Eberhard Karls Universität Tübingen","keywords":"Geodesic; Curvature; Causality (physics); Mathematics; Pure mathematics; Singularity; Sectional curvature; Metric (unit); General relativity; Space (punctuation); Differential geometry; Mathematical analysis; Geometry; Mathematical physics; Physics; Scalar curvature; Computer science","score_opus":0.10948567210219995,"score_gpt":0.23600132757515527,"score_spread":0.12651565547295532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2973474489","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9725273,0.0007676323,0.017541045,0.00015927372,0.0006356383,0.00059376337,0.00007555731,0.00017942955,0.007520328],"genre_scores_gemma":[0.9895683,0.00071824645,0.00095658033,0.00013196022,0.00017781182,0.0000011458311,0.00011093364,0.000057577745,0.008277474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972262,0.00036193733,0.00037966168,0.0012945633,0.00024040444,0.00049727666],"domain_scores_gemma":[0.9970302,0.00038389926,0.0005823935,0.001424917,0.00031535435,0.0002632634],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00076990435,0.0006308402,0.0011131394,0.0004730936,0.00019390185,0.00025489242,0.00072761485,0.00084962783,0.00032235822],"category_scores_gemma":[0.0003816014,0.00060336676,0.0004767458,0.0008521556,0.00026364185,0.00020009381,0.0012611576,0.0011115447,0.000082158076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009448913,0.00024965216,0.02063521,0.0004795032,0.0010985518,0.00016330238,0.00038937613,0.0024778547,0.000018022938,0.9723554,0.0019105873,0.00012804687],"study_design_scores_gemma":[0.0015066328,0.00008503662,0.0020910406,0.00022693916,0.00194779,0.000014488765,0.0006758178,0.016941193,0.000074034855,0.9693365,0.005886822,0.0012136854],"about_ca_topic_score_codex":0.00095339754,"about_ca_topic_score_gemma":0.00032610528,"teacher_disagreement_score":0.01854417,"about_ca_system_score_codex":0.00014628292,"about_ca_system_score_gemma":0.00016673145,"threshold_uncertainty_score":0.9996418},"labels":[],"label_agreement":null},{"id":"W2973539858","doi":"10.1007/s10455-019-09688-3","title":"Counterexamples to the $$L^p$$-Calderón–Zygmund estimate on open manifolds","year":2019,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Counterexample; Mathematics; Differential geometry; Dimension (graph theory); Riemannian manifold; Manifold (fluid mechanics); Pure mathematics; Open set; Combinatorics; Mathematical analysis","score_opus":0.07380977169493225,"score_gpt":0.3865840715428408,"score_spread":0.31277429984790855,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2973539858","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98569345,0.0006026119,0.0018997779,0.0036816925,0.00006590392,0.0003457179,0.0001524502,0.000018118813,0.007540271],"genre_scores_gemma":[0.99573857,0.00010500606,0.0010883901,0.0018642648,0.00004244958,0.000009629466,0.000021591155,0.000011075914,0.0011190262],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9978099,0.00009708468,0.0005724439,0.0005099554,0.0006229889,0.0003876376],"domain_scores_gemma":[0.9979312,0.0003487215,0.00031279778,0.000928249,0.00030153984,0.00017753795],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013427399,0.00027465908,0.0009466241,0.00032987312,0.00013796825,0.0002987642,0.00091621437,0.000112029054,0.00086608337],"category_scores_gemma":[0.0002969816,0.00016831863,0.00047114806,0.0062711625,0.000045630877,0.00015682999,0.000482174,0.0001282457,0.0001616035],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024028454,0.0010318254,0.6843008,0.00016209042,0.0124282865,0.000011876807,0.00016135591,0.0017850869,0.000037403857,0.1991261,0.06850161,0.03221333],"study_design_scores_gemma":[0.0005252334,0.00055295543,0.91907936,0.000096450545,0.0031524254,0.0000062910394,0.0006641572,0.0017814938,0.00015013193,0.03111559,0.04227234,0.0006035733],"about_ca_topic_score_codex":0.0008163386,"about_ca_topic_score_gemma":0.00079807476,"teacher_disagreement_score":0.2347786,"about_ca_system_score_codex":0.00001718259,"about_ca_system_score_gemma":0.000026345466,"threshold_uncertainty_score":0.94830054},"labels":[],"label_agreement":null},{"id":"W2974252555","doi":"10.1090/mcom/3567","title":"Unconditional convergence for discretizations of dynamical optimal transport","year":2020,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Agence Nationale de la Recherche","keywords":"Convergence (economics); Applied mathematics; Mathematical optimization; Mathematics; Mathematical economics; Computer science; Statistical physics; Economics; Physics; Macroeconomics","score_opus":0.04754930740213794,"score_gpt":0.31086554453952897,"score_spread":0.26331623713739105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2974252555","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21211603,0.000008510955,0.78706336,0.00027238057,0.000023110939,0.00021230131,0.000114616836,0.000018115852,0.00017155732],"genre_scores_gemma":[0.71588165,0.0000011329489,0.28385323,0.0000137344,0.000019868316,0.000009620686,0.00019488721,0.000009981515,0.000015894911],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.998882,0.0000128903375,0.00059277663,0.00012205153,0.00030248362,0.00008782036],"domain_scores_gemma":[0.9987278,0.000434302,0.00037416903,0.000086432774,0.00032486027,0.000052418978],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016584276,0.00009667683,0.00034341466,0.00007978398,0.000031333246,0.0000054127763,0.000117909876,0.00005385194,0.00009277451],"category_scores_gemma":[0.00035471783,0.00008793003,0.0001738872,0.00042118985,0.000053910557,0.000075126954,0.000012109812,0.00004714322,0.000002162452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005398331,0.0008292337,0.0008477449,0.0028212548,0.00035876324,8.9652036e-7,0.0049271914,0.066951,0.0016903752,0.91878057,0.0022300165,0.0005089785],"study_design_scores_gemma":[0.00051818934,0.00014906705,0.00062332954,0.000056921606,0.00025655693,0.000001269581,0.00060721213,0.80556077,0.001213617,0.1908398,0.00004230886,0.000130995],"about_ca_topic_score_codex":0.0000011104,"about_ca_topic_score_gemma":0.000001225208,"teacher_disagreement_score":0.73860973,"about_ca_system_score_codex":0.000008721384,"about_ca_system_score_gemma":0.000039879385,"threshold_uncertainty_score":0.35856822},"labels":[],"label_agreement":null},{"id":"W2974880006","doi":"10.4153/s0008439520000132","title":"Moduli Spaces of Metrics of Positive Scalar Curvature on Topological Spherical Space Forms","year":2020,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Shanghai Jiao Tong University; Karlsruhe Institute of Technology","keywords":"Scalar curvature; Mathematics; Moduli space; Covering space; Homotopy; Prescribed scalar curvature problem; Pure mathematics; Topology (electrical circuits); Zero-dimensional space; Manifold (fluid mechanics); Sectional curvature; Space (punctuation); Curvature; Homotopy sphere; Mathematical analysis; n-connected; Geometry; Topological space; Combinatorics; Topological vector space; Computer science","score_opus":0.03793567625590889,"score_gpt":0.2761527283417181,"score_spread":0.23821705208580923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2974880006","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5923334,0.0038193848,0.09292423,0.10495889,0.0009499621,0.005776268,0.0028682894,0.0003717602,0.19599785],"genre_scores_gemma":[0.9573003,0.00005036066,0.04082712,0.0004946574,0.0001744884,0.000040455885,0.0000649111,0.00008724568,0.0009604419],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99581206,0.00022434484,0.0012747633,0.0008393179,0.0011243782,0.00072511187],"domain_scores_gemma":[0.994799,0.001800653,0.0008531609,0.0010509162,0.00045866412,0.0010376008],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008226742,0.00070227945,0.0023637125,0.00061359146,0.000083326435,0.00008362883,0.0009935183,0.001277876,0.007656426],"category_scores_gemma":[0.0089638755,0.0005351028,0.0009378973,0.0014657781,0.00037897826,0.00002523816,0.00043811245,0.0017484117,0.0005290709],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009725433,0.00075290375,0.00016902604,0.0027735608,0.0010338977,0.00017931913,0.0007876651,0.00017117285,0.00007624567,0.93096334,0.06222994,0.0007656713],"study_design_scores_gemma":[0.0006599616,0.00074696634,0.00047999146,0.001372897,0.001263759,0.00002187231,0.0011024142,0.002297842,0.0017220561,0.9735162,0.015567795,0.0012482044],"about_ca_topic_score_codex":0.00082024693,"about_ca_topic_score_gemma":0.00028810743,"teacher_disagreement_score":0.36496696,"about_ca_system_score_codex":0.00028049562,"about_ca_system_score_gemma":0.00041455726,"threshold_uncertainty_score":0.99971},"labels":[],"label_agreement":null},{"id":"W2978176133","doi":"10.1090/proc/15251","title":"A note on the selfsimilarity of limit flows","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Koret Foundation; Simons Foundation; Alfred P. Sloan Foundation","keywords":"Gravitational singularity; Mathematics; Limit (mathematics); Singularity; Regular polygon; Mean curvature flow; Conjecture; Equivalence (formal languages); Mathematical analysis; Curvature; Sequence (biology); Uniform limit theorem; Pure mathematics; Mean curvature; Geometry","score_opus":0.04857089506504497,"score_gpt":0.2979905988900281,"score_spread":0.24941970382498313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2978176133","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95697165,0.00006702237,0.0035145276,0.024576964,0.00011677755,0.0015526275,0.00009456703,0.0001439919,0.012961887],"genre_scores_gemma":[0.9408476,0.00007229806,0.057460357,0.0011328417,0.00018200997,0.00008432383,0.0000016358447,0.00007090988,0.00014803775],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99647766,0.00004601648,0.0010872815,0.0005697706,0.0014234501,0.00039584216],"domain_scores_gemma":[0.99434495,0.0016564662,0.0025965238,0.00070954213,0.00056072493,0.00013178644],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015053791,0.0005197114,0.0017630204,0.000050717823,0.00015948924,0.00008188148,0.0020869607,0.00025690597,0.000111821784],"category_scores_gemma":[0.004998096,0.00026888418,0.0023794856,0.0015353075,0.0007671935,0.00004610677,0.0018822988,0.0017182498,0.0000130909875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020279,0.0030469412,0.0015381546,0.014337664,0.005005196,9.025799e-7,0.023263892,0.000073011695,0.0076211565,0.75383174,0.18921761,0.0018609517],"study_design_scores_gemma":[0.00019761288,0.00017064146,0.00070520095,0.0007765834,0.0013662447,0.0000027395602,0.003127359,0.016888442,0.004120781,0.97167313,0.00051596574,0.00045527864],"about_ca_topic_score_codex":0.000019258385,"about_ca_topic_score_gemma":7.7553796e-7,"teacher_disagreement_score":0.21784142,"about_ca_system_score_codex":0.0000960535,"about_ca_system_score_gemma":0.00009910073,"threshold_uncertainty_score":0.99997634},"labels":[],"label_agreement":null},{"id":"W2978316911","doi":"10.1007/s00222-022-01103-2","title":"Ancient asymptotically cylindrical flows and applications","year":2022,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Mean curvature flow; Uniqueness; Gravitational singularity; Regular polygon; Conjecture; Singularity; Mean curvature; Combinatorics; Mathematical analysis; Flow (mathematics); Curvature; Geometry","score_opus":0.03545349057346634,"score_gpt":0.28706723281637586,"score_spread":0.2516137422429095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2978316911","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29566205,0.0007193414,0.66830575,0.0019009346,0.00023352887,0.0016113971,0.00004632848,0.00039019014,0.031130482],"genre_scores_gemma":[0.935013,0.00000997223,0.06120893,0.00028992066,0.00015510006,0.0011653394,0.000029018809,0.00004620479,0.002082499],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981754,0.00008665983,0.00053907087,0.00032926307,0.000608778,0.00026087035],"domain_scores_gemma":[0.9987772,0.000376208,0.00017765179,0.00044580366,0.000085143685,0.00013796965],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009151704,0.00016236372,0.0003302965,0.00023090029,0.00048587887,0.00007076526,0.00025559706,0.000050140163,0.0017681173],"category_scores_gemma":[0.0002865877,0.00014521931,0.0001791123,0.0009479042,0.000059125443,0.000083257764,0.00029910117,0.0002474164,0.00009001368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000049910523,0.00072810746,0.00017331091,0.00013542247,0.00008614959,0.0000032244088,0.00028943826,0.00002895534,0.00013384518,0.99313307,0.0027195995,0.0025638808],"study_design_scores_gemma":[0.00036497007,0.0000749805,0.0006016341,0.000014903381,0.00020853065,0.000071785325,0.0008830163,0.0068293577,0.000018464063,0.9635481,0.027124545,0.00025966656],"about_ca_topic_score_codex":0.0000014661562,"about_ca_topic_score_gemma":0.000005435962,"teacher_disagreement_score":0.63935095,"about_ca_system_score_codex":0.000058298043,"about_ca_system_score_gemma":0.000031790634,"threshold_uncertainty_score":0.9991444},"labels":[],"label_agreement":null},{"id":"W2978369964","doi":"10.1007/s00205-020-01598-0","title":"Renormalized Energy Between Vortices in Some Ginzburg–Landau Models on 2-Dimensional Riemannian Manifolds","year":2021,"lang":"en","type":"preprint","venue":"Archive for Rational Mechanics and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Vorticity; Vortex; Mathematical physics; Physics; Vector field; Riemannian manifold; Harmonic map; Mathematical analysis; Tangent; Unit vector; Mathematics; Geometry","score_opus":0.04259525293282264,"score_gpt":0.2898918089707735,"score_spread":0.24729655603795087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2978369964","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09285231,0.0010055596,0.90281194,0.0011791249,0.00015955797,0.00040387752,0.0013109846,0.000041382016,0.00023528587],"genre_scores_gemma":[0.9637471,0.00026382733,0.027937619,0.0003261437,0.00030110448,0.00019682612,0.006764716,0.000043954107,0.00041870354],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968725,0.00018452926,0.00092701137,0.00091871404,0.0007307523,0.00036652514],"domain_scores_gemma":[0.99761635,0.0009211644,0.0005428624,0.00050330424,0.00024572742,0.00017056527],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007796541,0.00044931128,0.0013271599,0.0014473011,0.0002030922,0.00021411269,0.00028856177,0.00029073315,0.00009736635],"category_scores_gemma":[0.00019239134,0.0004003,0.00094473094,0.0009134972,0.000019162306,0.00017331808,0.00038022856,0.00039013577,8.162407e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067495144,0.00024034233,0.00025515497,0.00012879584,0.004815379,0.000014637727,0.0002756584,0.05088968,0.000039107643,0.94218796,0.00033560843,0.0007501539],"study_design_scores_gemma":[0.0003497712,0.000046278456,0.00020319654,0.0000656959,0.0022215692,5.586589e-7,0.00006729714,0.42061913,0.000031548145,0.5759399,0.0001775592,0.00027749056],"about_ca_topic_score_codex":0.00026532868,"about_ca_topic_score_gemma":0.0013715407,"teacher_disagreement_score":0.8748743,"about_ca_system_score_codex":0.00006145013,"about_ca_system_score_gemma":0.00015854296,"threshold_uncertainty_score":0.9998449},"labels":[],"label_agreement":null},{"id":"W2979161272","doi":"10.1142/s1793525323500486","title":"Wide short geodesic loops on closed Riemannian manifolds","year":2023,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Geodesic; Mathematics; Dimension (graph theory); Combinatorics; Pure mathematics; Mathematical analysis","score_opus":0.036382198429395315,"score_gpt":0.3204367949876369,"score_spread":0.28405459655824156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2979161272","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9925693,0.00025891294,0.0032401215,0.0022525468,0.00012798164,0.0000351684,0.0000038991525,0.000022380415,0.0014896595],"genre_scores_gemma":[0.99628645,0.0002721708,0.00076509453,0.0002937677,0.00015353473,0.0000011009108,0.0000059556305,0.000010417999,0.0022114967],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9985209,0.00012907624,0.0005968766,0.00018101731,0.00032160277,0.0002505389],"domain_scores_gemma":[0.9985718,0.00059082406,0.00031408077,0.00024097368,0.00015267891,0.00012964352],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011960932,0.00015634995,0.00077017205,0.0016590777,0.000136771,0.000036726742,0.00020059862,0.00016353218,0.00035445564],"category_scores_gemma":[0.0005121436,0.000112062,0.00060255534,0.0026901413,0.00007698782,0.000088798326,0.000039875256,0.00030781399,0.000025568464],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003988397,0.00092749286,0.7781101,0.00015390846,0.036796257,0.0021516024,0.001567837,0.002450168,0.0004192,0.06754942,0.084448256,0.025026955],"study_design_scores_gemma":[0.0017309986,0.0013181808,0.7593338,0.000091671536,0.030158544,0.00022357343,0.0034389812,0.008091766,0.0005027578,0.17860112,0.0155850975,0.0009235347],"about_ca_topic_score_codex":0.000010275759,"about_ca_topic_score_gemma":0.000058415793,"teacher_disagreement_score":0.111051686,"about_ca_system_score_codex":0.000022862165,"about_ca_system_score_gemma":0.000022752147,"threshold_uncertainty_score":0.45697558},"labels":[],"label_agreement":null},{"id":"W2981759352","doi":"10.1007/jhep10(2019)204","title":"On mirror maps for manifolds of exceptional holonomy","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Government of Canada; Ministero dello Sviluppo Economico; Innovation, Science and Economic Development Canada","keywords":"Mirror symmetry; Holonomy; Differential geometry; Torsion (gastropod); Symmetry (geometry); Reflection symmetry; Type (biology); Topology (electrical circuits)","score_opus":0.02313843339848026,"score_gpt":0.2625398739549464,"score_spread":0.23940144055646612,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2981759352","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87638175,0.000080138925,0.12064773,0.00019409439,0.0007203653,0.00008223489,0.00002999085,0.0000073242927,0.0018563714],"genre_scores_gemma":[0.9862279,0.000012812956,0.011758337,0.00009156072,0.00039962627,0.000002732052,0.000009981514,0.0000188748,0.0014781748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989006,0.00002652708,0.0004559199,0.000101127705,0.0003816275,0.00013421006],"domain_scores_gemma":[0.9982999,0.00036460898,0.00073799933,0.000195137,0.00035118643,0.00005120074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002359952,0.00012291891,0.0004499795,0.000111141606,0.000024836683,0.000013901639,0.00019725696,0.000071673065,0.0001371519],"category_scores_gemma":[0.00005051631,0.00009227109,0.00041123832,0.0002560342,0.000016389737,0.00011683259,0.00001925673,0.000109837136,0.000009029956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000099248384,0.00036277686,0.00016982957,0.000045224075,0.00025926402,0.0000018663386,0.00003216069,0.00026559806,0.00042298879,0.9853822,0.011697317,0.0012615354],"study_design_scores_gemma":[0.0011611657,0.0006149657,0.0010614077,0.00006267366,0.00018071757,0.000008687487,0.000049489445,0.00007959182,0.0030113626,0.98346543,0.010166291,0.0001382342],"about_ca_topic_score_codex":0.000008274267,"about_ca_topic_score_gemma":0.000002106118,"teacher_disagreement_score":0.10984615,"about_ca_system_score_codex":0.000035169447,"about_ca_system_score_gemma":0.00004816587,"threshold_uncertainty_score":0.3762706},"labels":[],"label_agreement":null},{"id":"W2982231294","doi":"10.1515/crelle-2022-0020","title":"Curvature measures of pseudo-Riemannian manifolds","year":2022,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Ministerio de Ciencia e Innovación; Israel Science Foundation; Deutsche Forschungsgemeinschaft","keywords":"Scalar curvature; Sectional curvature; Mathematics; Pure mathematics; Signature (topology); Curvature; Embedding; Riemann curvature tensor; Ricci-flat manifold; Riemannian manifold; Lipschitz continuity; Gaussian curvature; Riemannian geometry; Mathematical analysis; Geometry; Computer science","score_opus":0.04755993918218332,"score_gpt":0.3156675519716263,"score_spread":0.268107612789443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2982231294","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7136066,0.16686207,0.059184548,0.012456053,0.004713775,0.0016799567,0.00023783071,0.00037202035,0.04088715],"genre_scores_gemma":[0.9450485,0.008851387,0.027952258,0.00045223619,0.0024432985,0.000035600213,0.00001831717,0.00030013436,0.014898249],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9930371,0.000657926,0.0022690678,0.0004220054,0.002752428,0.0008614612],"domain_scores_gemma":[0.9942182,0.00062777725,0.0029576768,0.00075027946,0.00088121596,0.0005648803],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.005069285,0.0006563554,0.0015880474,0.0013693032,0.0017194758,0.00044734875,0.0013656914,0.00022271575,0.00266307],"category_scores_gemma":[0.0011863767,0.00048954395,0.0014636958,0.0016471286,0.0001120929,0.000500444,0.00041781814,0.0028343536,0.000023363484],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001533223,0.008416931,0.0037229632,0.0024282758,0.019917998,0.007229959,0.02307838,0.004382051,0.018999921,0.12411598,0.7419249,0.04424944],"study_design_scores_gemma":[0.004513725,0.001640366,0.0003379544,0.0009070011,0.0037694734,0.018114952,0.010536622,0.00089959614,0.0030160286,0.47016236,0.4843843,0.0017176323],"about_ca_topic_score_codex":0.000011378329,"about_ca_topic_score_gemma":0.000022571976,"teacher_disagreement_score":0.3460464,"about_ca_system_score_codex":0.00033303376,"about_ca_system_score_gemma":0.00027555675,"threshold_uncertainty_score":0.9997556},"labels":[],"label_agreement":null},{"id":"W2982576367","doi":"10.1090/proc/14840","title":"Nonpositive curvature, the variance functional, and the Wasserstein barycenter","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Mathematics; Convexity; Probability measure; Invariant (physics); Curvature; Regular polygon; Wasserstein metric; Variance (accounting); Projection (relational algebra); Measure (data warehouse); Pure mathematics; Mathematical analysis; Geometry","score_opus":0.011307007101159167,"score_gpt":0.23651120027006847,"score_spread":0.2252041931689093,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2982576367","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96915317,0.00027012138,0.0022112217,0.013010266,0.00009589839,0.0010299854,0.000007661486,0.000047192236,0.014174461],"genre_scores_gemma":[0.99133974,0.000059034795,0.00501588,0.001486703,0.00009531925,0.00004630577,4.9053625e-7,0.000025551431,0.0019309786],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983601,0.00003739773,0.00039729773,0.00027870786,0.00064710574,0.00027938644],"domain_scores_gemma":[0.9973378,0.001389439,0.0006406167,0.0003040118,0.00027483498,0.000053300046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013945457,0.00022289512,0.00058365753,0.000019108145,0.00025441038,0.00010999005,0.00060201087,0.000061382954,0.00010556625],"category_scores_gemma":[0.00067925284,0.0000877921,0.0005960134,0.0010261785,0.0010848963,0.00013922204,0.00034241512,0.00046012335,0.00002124134],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001559221,0.00023891425,0.0063960343,0.0004085691,0.0011344446,7.981976e-8,0.0037495424,0.0000034601937,0.0014610487,0.9529479,0.033164445,0.00033964092],"study_design_scores_gemma":[0.0025149242,0.00017013313,0.02924519,0.00035103108,0.0016115659,0.000047599566,0.022138396,0.011921716,0.00082211656,0.9275046,0.0030918852,0.00058086653],"about_ca_topic_score_codex":0.000012493537,"about_ca_topic_score_gemma":4.523037e-7,"teacher_disagreement_score":0.03007256,"about_ca_system_score_codex":0.00003445892,"about_ca_system_score_gemma":0.000019478466,"threshold_uncertainty_score":0.39973456},"labels":[],"label_agreement":null},{"id":"W2984120828","doi":"10.1093/imrn/rnz250","title":"On Smooth Solutions to One Phase-Free Boundary Problem in ℝ<i>n</i>","year":2019,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Fundamental Research Funds for the Central Universities; Natural Sciences and Engineering Research Council of Canada; University of British Columbia; National Natural Science Foundation of China","keywords":"Mathematics; Boundary (topology); Free boundary problem; Axial symmetry; Analogy; Mathematical analysis; Phase (matter); Construct (python library); Boundary value problem; Pure mathematics; Geometry; Physics; Quantum mechanics","score_opus":0.15511170950858383,"score_gpt":0.4297822868692332,"score_spread":0.27467057736064937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2984120828","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7621667,0.00010744134,0.008693258,0.008291038,0.00042752147,0.001817292,0.00010146724,0.00010969865,0.21828559],"genre_scores_gemma":[0.9356862,0.000017606115,0.057332553,0.00019906028,0.00016005286,0.00016287748,0.000022020497,0.00005109284,0.006368551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99565136,0.0001451239,0.0006620907,0.00044853005,0.0024589365,0.0006339835],"domain_scores_gemma":[0.99535155,0.0028682733,0.00015908711,0.00084094837,0.0006088421,0.00017132059],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.003448296,0.00020237842,0.00040101964,0.001621253,0.0001352047,0.00036618265,0.0014385247,0.00011521686,0.0018798122],"category_scores_gemma":[0.0043837638,0.0001773248,0.00013337556,0.0014721995,0.00007670352,0.00029065573,0.00052583707,0.0006416802,0.0016496893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011347308,0.005132672,0.00025343243,0.00033925232,0.0002448341,0.000018957495,0.0018046274,0.0006408105,0.0012043031,0.9612124,0.026563939,0.0024713082],"study_design_scores_gemma":[0.0018557496,0.00046165325,0.00023310109,0.0006357086,0.000024766801,0.0000026435036,0.00084634277,0.013819432,0.0002846136,0.9672379,0.0142923575,0.0003057661],"about_ca_topic_score_codex":0.00006623932,"about_ca_topic_score_gemma":0.00026863045,"teacher_disagreement_score":0.21191703,"about_ca_system_score_codex":0.00030567267,"about_ca_system_score_gemma":0.00012678414,"threshold_uncertainty_score":0.9991276},"labels":[],"label_agreement":null},{"id":"W2985234738","doi":"10.1007/s00023-019-00867-3","title":"Reverse Agmon Estimates in Forbidden Regions","year":2019,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Eigenfunction; Hypersurface; Mathematical analysis; Degenerate energy levels; Physics; Upper and lower bounds; Intersection (aeronautics); Operator (biology); Elliptic operator; Combinatorics; Mathematics; Mathematical physics; Quantum mechanics","score_opus":0.03549559535170606,"score_gpt":0.30091124027536326,"score_spread":0.2654156449236572,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2985234738","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9689248,0.0009198627,0.00047048926,0.001183746,0.00014961307,0.0003407408,0.0000074314144,0.00009719084,0.027906086],"genre_scores_gemma":[0.985718,0.00012260184,0.004962326,0.0003489287,0.00007767472,0.000016091322,0.000023143279,0.000031666077,0.0086995745],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862754,0.00004891949,0.00036110557,0.000312204,0.00029123868,0.0003589868],"domain_scores_gemma":[0.99879354,0.00035768672,0.000132554,0.00054668344,0.00008321859,0.00008631611],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041068916,0.00019104173,0.00040944814,0.0003590868,0.00004952367,0.000043254237,0.00025565457,0.00012910904,0.00049031794],"category_scores_gemma":[0.00038306744,0.00016273232,0.00020534714,0.0008997377,0.000030570598,0.00020082317,0.00008125372,0.00022793269,0.0007093644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013097574,0.0011010965,0.2691975,0.0007572285,0.00056187727,0.00025902956,0.0041646385,0.00022233583,0.0013283881,0.24605557,0.4670709,0.009150446],"study_design_scores_gemma":[0.0035975608,0.00048340313,0.076548696,0.0008610996,0.00050446007,0.00012838366,0.005293201,0.008934753,0.0010334195,0.6244491,0.27611437,0.0020515495],"about_ca_topic_score_codex":0.0001226797,"about_ca_topic_score_gemma":0.00026587478,"teacher_disagreement_score":0.37839353,"about_ca_system_score_codex":0.00004153267,"about_ca_system_score_gemma":0.000038420483,"threshold_uncertainty_score":0.91176814},"labels":[],"label_agreement":null},{"id":"W2989228849","doi":"10.1002/cpa.22009","title":"Mean Convex Mean Curvature Flow with Free Boundary","year":2021,"lang":"en","type":"preprint","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mean curvature flow; Mathematics; Mean curvature; Regular polygon; Curvature; Tangent; Mathematical analysis; Second fundamental form; Boundary (topology); Norm (philosophy); Upper and lower bounds; Convexity; Geometry","score_opus":0.04516962897343967,"score_gpt":0.2857472607153531,"score_spread":0.24057763174191343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2989228849","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1485364,0.050078448,0.29071346,0.020996142,0.00096096075,0.011034759,0.0015387846,0.0025812376,0.4735598],"genre_scores_gemma":[0.28173617,0.0020102428,0.7129915,0.0005711458,0.00015661362,0.00048642672,0.0009045403,0.00019000944,0.0009533751],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99709463,0.00011415359,0.00088832283,0.00071958627,0.0007730168,0.00041027684],"domain_scores_gemma":[0.9887068,0.0010772359,0.0007845074,0.008830713,0.00038661028,0.00021411882],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0008480882,0.00075183413,0.0014269779,0.00033509234,0.00058401405,0.0006817271,0.0026030291,0.0007363746,0.00014306312],"category_scores_gemma":[0.000256789,0.0005953334,0.00027666023,0.0007922653,0.0003969722,0.000081587044,0.0029130382,0.0023583034,0.000020512214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003782427,0.0027422043,0.000026550864,0.0030259916,0.0024154307,0.000014430931,0.015040477,0.00016622402,0.00008184778,0.9382087,0.029698925,0.008541412],"study_design_scores_gemma":[0.0018839695,0.00014893856,0.000055284647,0.0023539644,0.003719484,0.00006757419,0.014968766,0.009442829,0.00037341757,0.9319848,0.032730658,0.0022703493],"about_ca_topic_score_codex":0.0000061194364,"about_ca_topic_score_gemma":0.0003865309,"teacher_disagreement_score":0.47260642,"about_ca_system_score_codex":0.000082801875,"about_ca_system_score_gemma":0.00024514797,"threshold_uncertainty_score":0.9999433},"labels":[],"label_agreement":null},{"id":"W2990172386","doi":"10.1515/agms-2019-0010","title":"Weakly Noncollapsed RCD Spaces with Upper Curvature Bounds","year":2019,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Curvature; Bounded function; Constant (computer programming); Constant curvature; Mean curvature; Space (punctuation); Pure mathematics; Upper and lower bounds; Mathematical analysis; Sectional curvature; Scalar curvature; Geometry; Computer science","score_opus":0.17222946912225925,"score_gpt":0.5279206836244169,"score_spread":0.3556912145021577,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2990172386","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9453885,0.012075757,0.0005702414,0.00058753777,0.00069525355,0.0008940212,0.000039703198,0.00007585824,0.039673116],"genre_scores_gemma":[0.9840479,0.0018786195,0.002620088,0.0003997411,0.00032584142,0.00003931309,0.000019415931,0.0001218047,0.010547288],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99565154,0.00026901442,0.0010516094,0.00071127503,0.001649314,0.00066726387],"domain_scores_gemma":[0.9954579,0.00074582035,0.0015053907,0.0011486782,0.0007698785,0.00037233502],"candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001867421,0.00059977773,0.0016943271,0.0014203545,0.00028264584,0.0027111333,0.0031533476,0.00030784117,0.027773954],"category_scores_gemma":[0.00051753887,0.00042382895,0.0004575134,0.0040611634,0.00013005883,0.0025780988,0.00071292836,0.00087200484,0.0001332673],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004127089,0.00070394395,0.7044073,0.00031462635,0.0015102664,0.00005482675,0.00043647076,0.00013560159,0.013083204,0.001924449,0.2737071,0.0033095223],"study_design_scores_gemma":[0.003648891,0.00015015464,0.5894708,0.0018418701,0.0016200893,0.00009395067,0.0013806581,0.00038464108,0.009119415,0.04583235,0.3439779,0.002479286],"about_ca_topic_score_codex":0.0003193195,"about_ca_topic_score_gemma":0.0001568905,"teacher_disagreement_score":0.11493649,"about_ca_system_score_codex":0.00013414302,"about_ca_system_score_gemma":0.0002757815,"threshold_uncertainty_score":0.99982136},"labels":[],"label_agreement":null},{"id":"W2992033546","doi":"10.36890/iejg.548364","title":"Lorentzian para-Sasakian Manifolds Admitting a New Type of Quarter-symmetric Non-metric ξ-connection","year":2019,"lang":"en","type":"article","venue":"International Electronic Journal of Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric connection; Quarter (Canadian coin); Mathematics; Manifold (fluid mechanics); Metric (unit); Pure mathematics; Type (biology); Dimension (graph theory); Mathematical analysis; Topology (electrical circuits); Combinatorics; Geometry; Fundamental theorem of Riemannian geometry; Geology; Scalar curvature; Geography","score_opus":0.018231358725237203,"score_gpt":0.29864413292127195,"score_spread":0.2804127741960348,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2992033546","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97117585,0.0016713167,0.021534037,0.00035919313,0.001332518,0.00015166414,0.0000029798186,0.000015261054,0.0037571779],"genre_scores_gemma":[0.99539286,0.00024459593,0.0015600503,0.000059010974,0.00060079474,9.4273827e-7,0.0000074872664,0.00003116204,0.0021030938],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99679154,0.00006399884,0.0012051635,0.00025164263,0.0011792036,0.00050846435],"domain_scores_gemma":[0.99639714,0.00058931886,0.0016413609,0.00028495927,0.00093107397,0.00015615764],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014662053,0.00024345366,0.00065050204,0.004333932,0.00003846361,0.00006643764,0.0007012842,0.00017173715,0.0012577131],"category_scores_gemma":[0.0015494341,0.0002093203,0.0005041658,0.0054860045,0.000018133394,0.00040375305,0.000061544364,0.0007241623,0.00009205322],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0025990591,0.005079148,0.42207125,0.0007588232,0.018549308,0.0001517611,0.0018027938,0.0025956724,0.017228518,0.26251325,0.038105782,0.22854465],"study_design_scores_gemma":[0.030546386,0.025301535,0.35774678,0.0023661193,0.004646189,0.004662412,0.009935363,0.020689525,0.02282568,0.42234766,0.094297126,0.004635243],"about_ca_topic_score_codex":0.00008389471,"about_ca_topic_score_gemma":0.000022860779,"teacher_disagreement_score":0.22390941,"about_ca_system_score_codex":0.00044265814,"about_ca_system_score_gemma":0.00048067496,"threshold_uncertainty_score":0.99965525},"labels":[],"label_agreement":null},{"id":"W2992120299","doi":"10.1007/s00220-019-03632-z","title":"Interface Dynamics in Semilinear Wave Equations","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hypersurface; Curvature; Euclidean geometry; Motion (physics); Constructive; Mathematics; Mean curvature; Wave equation; Mathematical analysis; Character (mathematics); Mathematical physics; Dynamics (music); Pure mathematics; Physics; Geometry; Classical mechanics","score_opus":0.08818590304758006,"score_gpt":0.3606680148646585,"score_spread":0.27248211181707843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2992120299","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2085352,0.00046164135,0.5898275,0.0024935126,0.000099340534,0.0015505139,0.000029216113,0.00017673617,0.19682638],"genre_scores_gemma":[0.9320446,0.000042157073,0.06689248,0.000042720843,0.000016205326,0.000057230496,0.00003505319,0.000028141725,0.0008413577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984029,0.00016863397,0.0006820272,0.00022455961,0.00026159405,0.00026027337],"domain_scores_gemma":[0.9948455,0.0025133502,0.00015280252,0.0023369084,0.00010152228,0.00004993604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007418903,0.0001791911,0.00046074792,0.00020516636,0.000054161974,0.000048101254,0.0008489545,0.00011953154,0.00019908063],"category_scores_gemma":[0.001082588,0.00016785484,0.0001259185,0.0016532877,0.00010126036,0.00018934597,0.0004556191,0.00059780746,0.00043063491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000024925566,0.0008226421,0.0009052449,0.000083861996,0.00002168279,4.988896e-7,0.0005941676,0.00027030043,0.000025202158,0.99522567,0.00011095408,0.0019372604],"study_design_scores_gemma":[0.00021873732,0.0000109515495,0.00008427779,0.00010901824,0.000018491764,7.6964847e-7,0.0011869513,0.46410716,0.000018158386,0.5339965,0.00012109671,0.00012789405],"about_ca_topic_score_codex":0.000012914461,"about_ca_topic_score_gemma":0.00019148109,"teacher_disagreement_score":0.72350943,"about_ca_system_score_codex":0.0003108752,"about_ca_system_score_gemma":0.000041632156,"threshold_uncertainty_score":0.68449223},"labels":[],"label_agreement":null},{"id":"W2994534202","doi":"10.1007/s10915-020-01143-x","title":"No-Collision Transportation Maps","year":2020,"lang":"en","type":"article","venue":"Journal of Scientific Computing","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Air Force Office of Scientific Research; Office of Naval Research; Simons Foundation","keywords":"Metric (unit); Measure (data warehouse); Construct (python library); Connection (principal bundle); Property (philosophy); Tree (set theory); Transportation theory; Cartographic generalization","score_opus":0.04638165707334246,"score_gpt":0.2838446134824836,"score_spread":0.2374629564091411,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2994534202","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.943079,0.00010378089,0.054575883,0.0005366258,0.0009605696,0.00005208023,0.000002689807,0.000015836975,0.0006735605],"genre_scores_gemma":[0.97643286,0.0000017435649,0.022840517,0.00007039369,0.00039537047,5.5174553e-8,0.0000031608536,0.0000069532475,0.00024893784],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984846,0.00003376745,0.0006095126,0.0001393126,0.0005979462,0.0001348659],"domain_scores_gemma":[0.9984862,0.0001532844,0.00058301474,0.00009260591,0.0005570475,0.00012779697],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001249959,0.000077981036,0.000247763,0.00018812779,0.00016120353,0.00018343044,0.00022322824,0.000036478945,0.00008405832],"category_scores_gemma":[0.00058684155,0.00005943984,0.00020953269,0.0012398041,0.000028745138,0.0001746201,0.0000133593785,0.00020336173,0.000031030508],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000334254,0.0012248409,0.017541202,0.0010314723,0.00081969093,0.0004543356,0.028508227,0.022386538,0.071401894,0.019999383,0.71725386,0.119044274],"study_design_scores_gemma":[0.007154262,0.0016051491,0.02813634,0.00153634,0.0017348656,0.00017146677,0.00831868,0.3021983,0.015051734,0.046469014,0.5857651,0.0018587512],"about_ca_topic_score_codex":8.803659e-7,"about_ca_topic_score_gemma":0.0000013803466,"teacher_disagreement_score":0.27981177,"about_ca_system_score_codex":0.000019423884,"about_ca_system_score_gemma":0.000046911104,"threshold_uncertainty_score":0.24238864},"labels":[],"label_agreement":null},{"id":"W2994550866","doi":"10.2298/pim1920095k","title":"Some properties of anti-Kähler manifolds equipped with quarter-symmetric F-connections","year":2019,"lang":"en","type":"article","venue":"Publications de l Institut Mathematique","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Curvature; Pure mathematics; Torsion (gastropod); Quarter (Canadian coin); Mathematics; Metric (unit); Mathematical analysis; Geometry; Engineering; Geography","score_opus":0.03869810240475563,"score_gpt":0.2638591996736915,"score_spread":0.22516109726893585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2994550866","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94222987,0.00026878793,0.02884481,0.001954522,0.000091780275,0.0009901022,0.000014507909,0.00026050507,0.025345111],"genre_scores_gemma":[0.98170054,0.000037666698,0.014720734,0.000098302946,0.000076367076,0.00027499004,0.0000142463305,0.000036003134,0.0030411405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817914,0.00007253233,0.00062941265,0.00035456388,0.0004013208,0.00036301275],"domain_scores_gemma":[0.99769187,0.00022512725,0.00043918178,0.0009929037,0.0005341699,0.00011675162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000650995,0.0002506171,0.0005376831,0.0011809182,0.00014353856,0.00014519237,0.00046988163,0.00017485571,0.00033888457],"category_scores_gemma":[0.00067295664,0.00018299778,0.00017463857,0.0029613515,0.00008924868,0.0008607075,0.00007047444,0.00024777392,0.00015959138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006332837,0.000637476,0.0026193168,0.0004186957,0.00022142006,6.4770495e-7,0.0007355416,0.00007013504,0.0029170772,0.9905204,0.001726976,0.00012598009],"study_design_scores_gemma":[0.007762325,0.0015400838,0.04543217,0.0025164671,0.0027252694,0.00081052864,0.013307454,0.029676966,0.0655241,0.7529595,0.07266351,0.0050816177],"about_ca_topic_score_codex":0.000043906017,"about_ca_topic_score_gemma":0.000048147114,"teacher_disagreement_score":0.2375609,"about_ca_system_score_codex":0.00009820174,"about_ca_system_score_gemma":0.00026164736,"threshold_uncertainty_score":0.7462433},"labels":[],"label_agreement":null},{"id":"W2996639932","doi":"10.1016/j.indag.2020.08.001","title":"Differentiable spaces that are subcartesian","year":2020,"lang":"en","type":"preprint","venue":"Indagationes Mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Orbit (dynamics); Differentiable function; Space (punctuation); Mathematics; Pure mathematics; Differential (mechanical device); Action (physics); Manifold (fluid mechanics); Differential form; Lie group; Mathematical analysis; Physics; Computer science; Quantum mechanics","score_opus":0.13040278634845823,"score_gpt":0.3172055470857013,"score_spread":0.18680276073724308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996639932","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6963754,0.0011277159,0.25848377,0.014792184,0.0011579796,0.002748957,0.00023854189,0.0014286106,0.023646811],"genre_scores_gemma":[0.97236395,0.00003325044,0.023895677,0.00014932657,0.0004306397,0.00017457643,0.00013827841,0.000118977085,0.0026953043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99661946,0.0001483764,0.0008743926,0.0008107355,0.0010903609,0.00045666675],"domain_scores_gemma":[0.99624723,0.000635187,0.0013784352,0.001230816,0.00026786127,0.00024044723],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00048178964,0.00067229656,0.0014770938,0.00039978873,0.0001995986,0.0006454709,0.0008226453,0.0005705428,0.001308964],"category_scores_gemma":[0.0012059074,0.00055925327,0.00060048164,0.0007098748,0.00008871156,0.00016892127,0.00071823114,0.0009245634,0.0004307391],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052138526,0.0020194543,0.011081859,0.017528242,0.0039752764,0.00013364662,0.012270158,0.00014254573,0.000237946,0.7816257,0.16886266,0.0020703806],"study_design_scores_gemma":[0.00027645225,0.000023451952,0.0023063654,0.00071549957,0.0007997361,0.000008317967,0.0016340639,0.0027815616,0.0004683923,0.98895305,0.0013233828,0.0007097355],"about_ca_topic_score_codex":0.000013424195,"about_ca_topic_score_gemma":0.000029321058,"teacher_disagreement_score":0.27598852,"about_ca_system_score_codex":0.00008718353,"about_ca_system_score_gemma":0.000096061754,"threshold_uncertainty_score":0.9996859},"labels":[],"label_agreement":null},{"id":"W2999837482","doi":"10.31926/but.mif.2019.12.61.1.6","title":"Some properties of trans Sasakian manifolds admitting a quarter-symmetric non-metric connection","year":2019,"lang":"en","type":"article","venue":"Bulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Metric connection; Connection (principal bundle); Mathematics; Pure mathematics; Metric (unit); Fundamental theorem of Riemannian geometry; Mathematical analysis; Geometry; Geography; Engineering; Ricci curvature","score_opus":0.009968561716087398,"score_gpt":0.1801472691194759,"score_spread":0.1701787074033885,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2999837482","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9672317,0.00014545112,0.031280328,0.00040686925,0.00013060422,0.00034405387,0.0000054271413,0.000017296763,0.00043828698],"genre_scores_gemma":[0.96598476,0.00005960554,0.033652093,0.00001686195,0.000014801545,2.3373144e-7,2.31145e-7,0.000008467484,0.00026296946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9984738,0.000038050734,0.00041548198,0.00028245786,0.00057138683,0.00021882255],"domain_scores_gemma":[0.9985459,0.00018341397,0.00047866767,0.00045907882,0.00026845283,0.000064530126],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007609889,0.00017330344,0.00057220453,0.00048437034,0.00019516998,0.000030449633,0.0007699027,0.00007397273,0.00006122645],"category_scores_gemma":[0.000054676177,0.00013422852,0.00021680052,0.0017664309,0.0005128194,0.00017405482,0.00014177532,0.00011815339,0.000002238531],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009584926,0.007050848,0.005039436,0.026257485,0.0021357306,0.000022042645,0.13406497,0.0022756227,0.18096325,0.6115924,0.0029481798,0.026691508],"study_design_scores_gemma":[0.023710039,0.012231773,0.06552781,0.012942474,0.0054817423,0.0005661887,0.14611307,0.3809005,0.25498003,0.08265956,0.008808777,0.0060780398],"about_ca_topic_score_codex":0.00011125956,"about_ca_topic_score_gemma":0.000016658481,"teacher_disagreement_score":0.52893287,"about_ca_system_score_codex":0.000021030599,"about_ca_system_score_gemma":0.00007051531,"threshold_uncertainty_score":0.547368},"labels":[],"label_agreement":null},{"id":"W3003189065","doi":"10.1007/jhep04(2020)123","title":"Partition functions on slightly squashed spheres and flux parameters","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; KU Leuven; Consejo Nacional de Investigaciones Científicas y Técnicas; Simons Foundation","keywords":"Quartic function; Partition function (quantum field theory); Quintic function; Term (time); Charge (physics); SPHERES","score_opus":0.033953564185070395,"score_gpt":0.2431520786358484,"score_spread":0.209198514450778,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003189065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7197764,0.00022138185,0.27657133,0.0017450247,0.0003225335,0.000038270853,0.0000072361136,0.000028473962,0.0012893685],"genre_scores_gemma":[0.99529976,0.000038573748,0.00333872,0.0005539085,0.000533257,0.0000015331341,0.0000050221124,0.00001510495,0.0002141177],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903107,0.000055429453,0.00034843944,0.0001183177,0.00032308887,0.0001236407],"domain_scores_gemma":[0.99903995,0.00020526172,0.0003621097,0.0001146976,0.00013934482,0.00013865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000085796266,0.00012782209,0.00033379052,0.000055096603,0.00006822257,0.000055802204,0.00009125599,0.000054778153,0.000100394456],"category_scores_gemma":[0.0001351907,0.00009393104,0.00017665981,0.0004356732,0.000025163205,0.00016926437,0.000019137715,0.0001727954,0.000009846796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002394529,0.0006176,0.0003852312,0.000066391156,0.0009282635,0.000048192225,0.00042324007,0.0058224825,0.0010125813,0.8244424,0.1421458,0.023868386],"study_design_scores_gemma":[0.00210987,0.0021935776,0.0010363938,0.00012292182,0.0011607762,0.000030481684,0.00095448026,0.0022658072,0.014473585,0.9468389,0.028272217,0.0005409541],"about_ca_topic_score_codex":0.00001097806,"about_ca_topic_score_gemma":0.000007987042,"teacher_disagreement_score":0.2755234,"about_ca_system_score_codex":0.000019585157,"about_ca_system_score_gemma":0.000022770168,"threshold_uncertainty_score":0.38303968},"labels":[],"label_agreement":null},{"id":"W3005591030","doi":"10.1016/j.aim.2020.107048","title":"Geometrical logarithmic capacitance","year":2020,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Measure (data warehouse); Conformal map; Mathematical analysis; Convex body; Curvature; RADIUS; Regular polygon; Harmonic mean; Geometry; Convex hull","score_opus":0.04560730783930519,"score_gpt":0.31270386024492036,"score_spread":0.2670965524056152,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3005591030","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16500425,0.014009457,0.7257184,0.0029464255,0.00049389404,0.0011810245,0.000031744385,0.0005580569,0.09005679],"genre_scores_gemma":[0.7664636,0.0006933058,0.23177557,0.00045446752,0.00018226684,0.000034200428,0.0000039789925,0.000045164128,0.00034748166],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981995,0.000041985168,0.00061059406,0.0003235828,0.00047094567,0.00035337004],"domain_scores_gemma":[0.9984306,0.00080231,0.00021920675,0.00033250428,0.00007622506,0.00013912054],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038957215,0.00022098831,0.00056491705,0.00025112432,0.00004833777,0.00003907876,0.0003996275,0.00010796542,0.0003320352],"category_scores_gemma":[0.003213012,0.00018527749,0.00013511916,0.0028260585,0.0000670952,0.0003586912,0.00005114976,0.00034262254,0.00014509003],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051098134,0.0017561204,0.011488902,0.0027232913,0.00019210743,0.00022247278,0.0075854356,0.0013376864,0.00048072805,0.9126652,0.007566984,0.05392998],"study_design_scores_gemma":[0.0009856252,0.00013960707,0.00041140767,0.00013558057,0.00008273466,0.000020528403,0.0020242303,0.017990092,0.00038710466,0.9433561,0.03378376,0.0006832151],"about_ca_topic_score_codex":0.0000012570757,"about_ca_topic_score_gemma":0.000010516409,"teacher_disagreement_score":0.6014593,"about_ca_system_score_codex":0.000051259038,"about_ca_system_score_gemma":0.000018974328,"threshold_uncertainty_score":0.75553966},"labels":[],"label_agreement":null},{"id":"W3005759523","doi":"10.1016/j.geomphys.2020.104074","title":"Bryant–Salamon G2 manifolds and coassociative fibrations","year":2020,"lang":"lv","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Center of Mathematical Sciences and Applications, Harvard University; Harvard University","keywords":"Scalable Vector Graphics; Computer science; Mathematics; World Wide Web","score_opus":0.02955335810696481,"score_gpt":0.26448875293874885,"score_spread":0.23493539483178405,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3005759523","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9611844,0.0066637946,0.025229443,0.004870315,0.00034421595,0.00018985564,0.00015363813,0.000014864628,0.001349491],"genre_scores_gemma":[0.99336004,0.0020357338,0.0024973887,0.0005242778,0.0011537132,5.910372e-7,0.00000788226,0.000026975491,0.00039337462],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979832,0.00015384096,0.0007978254,0.00022384619,0.00056873675,0.00027254678],"domain_scores_gemma":[0.9970413,0.00072901574,0.0012900478,0.00014007083,0.0004325364,0.0003670732],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005935189,0.00029179422,0.0009137228,0.00013535732,0.0002350354,0.00025737082,0.00017542312,0.0002107851,0.00012490405],"category_scores_gemma":[0.00068360433,0.00024574864,0.0003111607,0.0016594614,0.00008821075,0.0005284932,0.00012198152,0.0007155243,0.000014085066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014553736,0.0063301437,0.23633434,0.0063180295,0.026641166,0.00080403,0.10118118,0.00093498064,0.006645182,0.2377731,0.17954266,0.19603981],"study_design_scores_gemma":[0.022371762,0.017556494,0.29827866,0.0031125895,0.03005347,0.0007132672,0.054492626,0.05778022,0.00736289,0.39626935,0.10544772,0.006560964],"about_ca_topic_score_codex":0.000010428573,"about_ca_topic_score_gemma":0.000003734518,"teacher_disagreement_score":0.18947886,"about_ca_system_score_codex":0.000033589142,"about_ca_system_score_gemma":0.000094176925,"threshold_uncertainty_score":0.99999946},"labels":[],"label_agreement":null},{"id":"W3007004824","doi":"10.2298/fil1911337p","title":"CR-submanifolds of (LCS)n-manifolds with respect to quarter symmetric non-metric connection","year":2019,"lang":"en","type":"article","venue":"Filomat","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Metric (unit); Pure mathematics; Quarter (Canadian coin); Metric connection; Mathematical analysis; Geometry; Topology (electrical circuits); Combinatorics; Fundamental theorem of Riemannian geometry; Scalar curvature","score_opus":0.013455746706561533,"score_gpt":0.25249884301798486,"score_spread":0.23904309631142334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3007004824","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.951984,0.00009741741,0.0061853775,0.00015172226,0.00028593763,0.00067004724,0.000014940697,0.00009449435,0.04051607],"genre_scores_gemma":[0.99122256,0.0000068408117,0.0048470623,0.00010267458,0.00011586677,0.00002849597,0.0000114449995,0.000047918795,0.003617143],"study_design_codex":"not_applicable","study_design_gemma":"observational","domain_scores_codex":[0.9977165,0.000067111054,0.00057132024,0.00047599673,0.0007679203,0.00040117127],"domain_scores_gemma":[0.9977908,0.0005608241,0.00033814154,0.00084591826,0.00031194958,0.00015233048],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00061490247,0.00029317202,0.00071725924,0.0020855537,0.00006644752,0.00006801159,0.00033253248,0.000173032,0.0016493481],"category_scores_gemma":[0.00041698207,0.00021917216,0.00022432738,0.007736473,0.000017359418,0.00018435203,0.000074036536,0.00018217984,0.0008906211],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002218547,0.0060233437,0.29157084,0.004673491,0.0056486586,0.00026065073,0.007825055,0.0014892187,0.014124147,0.21113944,0.43380874,0.02121787],"study_design_scores_gemma":[0.01573766,0.021032326,0.7932299,0.0017080428,0.004106715,0.00044990628,0.011168427,0.011301164,0.03446467,0.035900038,0.06432605,0.0065751155],"about_ca_topic_score_codex":0.00009177303,"about_ca_topic_score_gemma":0.000058453646,"teacher_disagreement_score":0.50165904,"about_ca_system_score_codex":0.00009026549,"about_ca_system_score_gemma":0.000042120188,"threshold_uncertainty_score":0.9998873},"labels":[],"label_agreement":null},{"id":"W3007018710","doi":"10.36890/iejg.655974","title":"Pseudo Cauchy Riemann and Framed Manifolds with Physical Applications","year":2020,"lang":"en","type":"article","venue":"International Electronic Journal of Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"University of Windsor","keywords":"Manifold (fluid mechanics); Mathematics; Bar (unit); Dimension (graph theory); Lambda; Pure mathematics; Riemannian manifold; Function (biology); Complex manifold; Riemann hypothesis; Field (mathematics); Mathematical analysis; Physics; Quantum mechanics","score_opus":0.011615342390715022,"score_gpt":0.26996596531423883,"score_spread":0.2583506229235238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3007018710","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80850774,0.00086770114,0.18329592,0.0056503774,0.00005755942,0.00015070412,0.0000075020325,0.000021673983,0.0014408446],"genre_scores_gemma":[0.99638057,0.00014531113,0.0021747586,0.00035375325,0.00072148186,0.0000068790896,0.0000041181124,0.00001945129,0.00019369087],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856865,0.000026668713,0.0003479099,0.00017475015,0.00062831404,0.0002537176],"domain_scores_gemma":[0.9987688,0.00019624135,0.0004010819,0.00011523882,0.00037338532,0.00014522656],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027611657,0.00014504403,0.00031181882,0.00028500677,0.000050071878,0.000068193,0.00034765236,0.000057059187,0.00008751655],"category_scores_gemma":[0.00025232483,0.00010739959,0.00014022141,0.0007513795,0.000044595676,0.00015960904,0.000049726234,0.0005320687,0.000010487429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008541192,0.0015955782,0.018247267,0.00017761256,0.0066589275,0.00010945185,0.0014952278,0.000538019,0.0028579747,0.92049307,0.011673728,0.03529905],"study_design_scores_gemma":[0.010092263,0.0067860745,0.015877552,0.00024356216,0.0024712812,0.0034968837,0.0040377867,0.01364591,0.0027939028,0.6200081,0.31853685,0.0020098446],"about_ca_topic_score_codex":0.0000027895455,"about_ca_topic_score_gemma":0.000005309114,"teacher_disagreement_score":0.3068631,"about_ca_system_score_codex":0.0000884024,"about_ca_system_score_gemma":0.00014095286,"threshold_uncertainty_score":0.4379628},"labels":[],"label_agreement":null},{"id":"W3007086125","doi":"10.4153/s0008439520000156","title":"Generalized -Einstein Real Hypersurfaces in and","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Hypersurface; Einstein; Mathematics; Scalar curvature; Constant (computer programming); Mean curvature; Mathematical physics; Scalar (mathematics); Mathematical analysis; Curvature; Combinatorics; Geometry","score_opus":0.039353844331148406,"score_gpt":0.2511473239829897,"score_spread":0.2117934796518413,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3007086125","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93872017,0.00021472936,0.00028918145,0.021386486,0.000020797353,0.0002513543,0.000011249535,0.00004740411,0.03905863],"genre_scores_gemma":[0.9878301,0.00004672193,0.009431893,0.0016503044,0.000069829606,0.00001596353,0.0000039201605,0.000029671162,0.00092161034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99860436,0.000074252275,0.0003778031,0.0002937706,0.00026514367,0.00038468093],"domain_scores_gemma":[0.9987229,0.0002615331,0.0000562577,0.00019076827,0.00005073116,0.0007177795],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00044821843,0.00017905956,0.00045801804,0.00016159711,0.000058534082,0.000070919144,0.0001737458,0.00013155164,0.0075221537],"category_scores_gemma":[0.0016601633,0.00015393767,0.000074481984,0.00048433736,0.00006161761,0.000027562124,0.00003606967,0.00020055933,0.0012388645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045767203,0.0001641652,0.0024121888,0.0007626694,0.00017556433,0.00046427452,0.0057910806,0.000028260198,0.00039059445,0.81776386,0.16758737,0.004414183],"study_design_scores_gemma":[0.005056481,0.00037612018,0.0029941255,0.00037589343,0.00033870345,0.00008186356,0.0068186573,0.016012229,0.00031347678,0.40617937,0.5590374,0.0024156934],"about_ca_topic_score_codex":0.0018170828,"about_ca_topic_score_gemma":0.0043224283,"teacher_disagreement_score":0.41158453,"about_ca_system_score_codex":0.000079908306,"about_ca_system_score_gemma":0.00009522839,"threshold_uncertainty_score":0.9995388},"labels":[],"label_agreement":null},{"id":"W3007110417","doi":"10.2298/fil1917463h","title":"On submanifolds of an almost contact metric manifold admitting a quarter-symmetric non-metric connection","year":2019,"lang":"en","type":"article","venue":"Filomat","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Anhui Normal University; Government of Jiangsu Province; National Natural Science Foundation of China","keywords":"Metric connection; Mathematics; Connection (principal bundle); Submanifold; Metric (unit); Quarter (Canadian coin); Fundamental theorem of Riemannian geometry; Manifold (fluid mechanics); Levi-Civita connection; Pure mathematics; Mathematical analysis; Topology (electrical circuits); Combinatorics; Geometry; Ricci curvature","score_opus":0.016076860864780947,"score_gpt":0.267100848065141,"score_spread":0.25102398720036007,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3007110417","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97380406,0.00016198786,0.0013745022,0.000033388733,0.00052522495,0.0006119724,0.000029086399,0.00012112984,0.023338668],"genre_scores_gemma":[0.99694437,0.000014566997,0.0016718237,0.000096409305,0.00014108351,0.000022732283,0.000052206386,0.000063099076,0.000993706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99683666,0.00016398354,0.0009059629,0.0006324555,0.0009391498,0.0005218141],"domain_scores_gemma":[0.9959584,0.0018046205,0.0007626469,0.00097432226,0.00029925574,0.0002007438],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012013165,0.00039942013,0.00096393004,0.0039848136,0.00011258294,0.0001003844,0.00044803708,0.0002915659,0.0018252854],"category_scores_gemma":[0.0016245696,0.0003424275,0.0004157567,0.010467179,0.000011876947,0.0003654937,0.00006955635,0.00033845598,0.00059597724],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001713116,0.020921502,0.19554587,0.0059073386,0.006319745,0.0004313734,0.004567773,0.0007855373,0.017069006,0.5920406,0.07139144,0.08330671],"study_design_scores_gemma":[0.02151931,0.030919993,0.7239075,0.0013363928,0.004144239,0.0004304865,0.012403926,0.102377966,0.03480921,0.053585067,0.00800503,0.0065608784],"about_ca_topic_score_codex":0.00018231134,"about_ca_topic_score_gemma":0.000028701896,"teacher_disagreement_score":0.53845555,"about_ca_system_score_codex":0.00014111021,"about_ca_system_score_gemma":0.00004646409,"threshold_uncertainty_score":0.9999028},"labels":[],"label_agreement":null},{"id":"W3010060636","doi":"10.2478/ausm-2019-0024","title":"On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection","year":2019,"lang":"en","type":"article","venue":"Acta Universitatis Sapientiae Mathematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Einstein; Mathematics; Quarter (Canadian coin); Manifold (fluid mechanics); Einstein manifold; Product (mathematics); Riemannian manifold; Dimension (graph theory); Ricci curvature; Pure mathematics; Mathematical analysis; Geometry; Mathematical physics; Curvature","score_opus":0.011623479101398689,"score_gpt":0.2315250614268528,"score_spread":0.21990158232545412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3010060636","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93469226,0.000018252029,0.014674375,0.0015044609,0.00021347946,0.001460981,0.000016029988,0.0001726471,0.04724748],"genre_scores_gemma":[0.967099,0.0000034314596,0.021663124,0.00011390919,0.00004677807,0.000015373898,0.000018012279,0.00006054891,0.010979832],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973425,0.00010257749,0.00038009192,0.00077934994,0.0008643851,0.00053103943],"domain_scores_gemma":[0.9972398,0.00080735906,0.00032862995,0.001119248,0.00027044734,0.00023446805],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005056138,0.00041590078,0.0006939514,0.001502981,0.00020395985,0.00014871558,0.0004633914,0.00011027119,0.0015662872],"category_scores_gemma":[0.0004293203,0.00033431588,0.00020815044,0.0033565883,0.000029674939,0.00037105725,0.000103985374,0.00027363424,0.0019264249],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012864007,0.002194096,0.0011027175,0.0016644069,0.0027181169,0.00028117967,0.01901757,0.00016512134,0.0066494397,0.62322944,0.33938643,0.0023050704],"study_design_scores_gemma":[0.046637777,0.04472938,0.029102517,0.010546241,0.0156001905,0.0010825763,0.14122386,0.03826507,0.028126843,0.506544,0.11906997,0.019071562],"about_ca_topic_score_codex":0.000019220939,"about_ca_topic_score_gemma":0.000054413267,"teacher_disagreement_score":0.22031645,"about_ca_system_score_codex":0.00019281868,"about_ca_system_score_gemma":0.00004864746,"threshold_uncertainty_score":0.9999109},"labels":[],"label_agreement":null},{"id":"W3016014868","doi":"10.48550/arxiv.2004.03769","title":"Bounded Diameter Under Mean Curvature Flow","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Mean curvature flow; Bounded function; Curvature; Sectional curvature; Regular polygon; Gravitational singularity; Conical surface; Conjecture; Mathematical analysis; Scalar curvature; Mean curvature; Flow (mathematics); Pure mathematics; Geometry","score_opus":0.15795578067961624,"score_gpt":0.21780147055985968,"score_spread":0.05984568988024344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3016014868","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30798966,0.0003478244,0.67034346,0.0011120694,0.0013426519,0.0008677961,0.0001633044,0.00070150977,0.01713172],"genre_scores_gemma":[0.9874163,0.00012346687,0.0058564697,0.00046233626,0.00033248475,0.0000014524402,0.00011666357,0.000077701625,0.0056130933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99734145,0.0002094771,0.00037205208,0.0013440739,0.000239458,0.00049346406],"domain_scores_gemma":[0.9972956,0.00031413225,0.00042901587,0.0013766994,0.00024899343,0.00033553757],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00031387908,0.0006075807,0.00094230607,0.00042116127,0.00017257786,0.00018304952,0.0010742606,0.0008176879,0.00076696393],"category_scores_gemma":[0.00025644182,0.0006097653,0.000881232,0.0016109763,0.00012030776,0.00018122437,0.0011172136,0.0016038798,0.0002583507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021726507,0.0008605782,0.0026991593,0.001125421,0.0055253888,0.0010929417,0.0020842827,0.05903332,0.00008116754,0.85749793,0.06894206,0.00084047916],"study_design_scores_gemma":[0.0007680235,0.000056823475,0.00054503034,0.00012304274,0.0018772669,0.000003786561,0.0005858163,0.088698946,0.000044207456,0.9006913,0.0055489843,0.0010567949],"about_ca_topic_score_codex":0.00006693312,"about_ca_topic_score_gemma":0.00020676052,"teacher_disagreement_score":0.67942667,"about_ca_system_score_codex":0.00024605426,"about_ca_system_score_gemma":0.00017179808,"threshold_uncertainty_score":0.9996354},"labels":[],"label_agreement":null},{"id":"W3017935558","doi":"10.1137/20m1333377","title":"Hidden Convexity in a Problem of Nonlinear Elasticity","year":2021,"lang":"en","type":"preprint","venue":"SIAM Journal on Mathematical Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Convexity; Nonlinear elasticity; Compressibility; Elasticity (physics); Mathematics; Regular polygon; Nonlinear system; Context (archaeology); Applied mathematics; Relaxation (psychology); Mathematical optimization; Linear elasticity; Mathematical analysis; Physics; Geometry; Economics; Mechanics; Geology","score_opus":0.042563119279607056,"score_gpt":0.3170941297456738,"score_spread":0.27453101046606676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3017935558","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8436479,0.00041395065,0.15074213,0.0007505227,0.00011220475,0.00041617273,0.0000501409,0.000041748175,0.0038252664],"genre_scores_gemma":[0.7977887,0.00017683748,0.20113716,0.000069549766,0.0002347625,0.000024009576,0.000044446497,0.000053879896,0.00047069349],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99361086,0.00058600603,0.002797101,0.0006858899,0.0017685771,0.00055155193],"domain_scores_gemma":[0.99434346,0.0015724392,0.0019168331,0.001007081,0.0008128297,0.00034737188],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0029982226,0.00062090124,0.0036086973,0.002306165,0.00008908328,0.00026988922,0.00084356824,0.0006616301,0.0036361774],"category_scores_gemma":[0.0025671285,0.00046240402,0.0028375096,0.0042636767,0.00013429702,0.00010909005,0.0005475368,0.002799409,0.000035170924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015852806,0.088554636,0.06335677,0.046272967,0.25388736,0.0074016256,0.02524552,0.13613221,0.0010364741,0.3320171,0.0066123507,0.037897702],"study_design_scores_gemma":[0.0009991919,0.00021086902,0.0027643861,0.0021891044,0.016630022,0.00006799375,0.001221487,0.06617379,0.00032389638,0.9083208,0.00007983991,0.0010186585],"about_ca_topic_score_codex":0.000022470342,"about_ca_topic_score_gemma":0.00010482402,"teacher_disagreement_score":0.57630366,"about_ca_system_score_codex":0.00021577299,"about_ca_system_score_gemma":0.00029703448,"threshold_uncertainty_score":0.99978274},"labels":[],"label_agreement":null},{"id":"W3023113686","doi":"10.1016/j.difgeo.2020.101639","title":"On the volume of orbifold quotients of symmetric spaces","year":2020,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Orbifold; Quotient; Pure mathematics; Lie group; Lie algebra; Simple Lie group; Invariant (physics); Upper and lower bounds; Mathematical analysis; Mathematical physics","score_opus":0.03534191789732321,"score_gpt":0.2619398841681099,"score_spread":0.2265979662707867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3023113686","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9862593,0.00038618114,0.010781318,0.0008037347,0.000025709813,0.00037369976,0.000072645904,0.000018264273,0.0012791858],"genre_scores_gemma":[0.9993315,0.00007741266,0.00011928396,0.000073028554,0.00005545585,0.00003797709,0.000013969497,0.000010163366,0.00028125953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989786,0.000038360013,0.00034191177,0.00020641804,0.0003070621,0.00012761119],"domain_scores_gemma":[0.9987478,0.0005115419,0.00027081138,0.00025364754,0.00013290152,0.00008329127],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001199042,0.00012513206,0.00031873563,0.00024968263,0.000089414745,0.000022746057,0.00024988176,0.00006990787,0.00050865585],"category_scores_gemma":[0.00054360926,0.00008096698,0.00012391637,0.0025801023,0.00004882427,0.00003876286,0.000080775266,0.00013469325,0.000021092472],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022492015,0.0005033343,0.0017773912,0.0002383205,0.00023405736,1.2495896e-7,0.00025746477,0.0000075383377,0.0028350542,0.9876762,0.002879362,0.0035686824],"study_design_scores_gemma":[0.008620817,0.0049736174,0.22676784,0.0006460795,0.008041343,0.000011781895,0.009662429,0.063491024,0.12807134,0.44801018,0.09733639,0.004367172],"about_ca_topic_score_codex":0.000005988773,"about_ca_topic_score_gemma":7.063432e-7,"teacher_disagreement_score":0.539666,"about_ca_system_score_codex":0.0000045626907,"about_ca_system_score_gemma":0.0000096380145,"threshold_uncertainty_score":0.55694246},"labels":[],"label_agreement":null},{"id":"W3029734768","doi":"10.1090/tran/8683","title":"Christoffel-Minkowski flows","year":2022,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Australian Research Council; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Minkowski space; Curvature; Christoffel symbols; Mean curvature flow; Mathematical analysis; Mean curvature; Geometry","score_opus":0.02124245387948525,"score_gpt":0.2731165007145965,"score_spread":0.2518740468351112,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3029734768","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5045096,0.0001087982,0.48755702,0.002441906,0.00019878728,0.0005536293,0.00008436788,0.00015616967,0.0043896907],"genre_scores_gemma":[0.9613824,0.000011909977,0.03639073,0.00025649703,0.000029245197,0.000095328054,0.0000014164706,0.000030321506,0.0018021424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981077,0.00015704644,0.00047542964,0.00022470432,0.0007610447,0.0002741265],"domain_scores_gemma":[0.9981735,0.00056485675,0.00038327635,0.0007407612,0.000062219515,0.000075394084],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006419594,0.00017577043,0.00054293114,0.000050758787,0.0005779327,0.000016482216,0.00066088117,0.000029484801,0.0026493785],"category_scores_gemma":[0.000102564634,0.00012271202,0.0012164479,0.0019348903,0.0003188372,0.00005466121,0.00007164106,0.0004946494,0.000014322805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005351054,0.029523857,0.0018207623,0.003484693,0.014030412,0.000016223377,0.061519306,0.030626277,0.025936952,0.42496315,0.28976828,0.117774986],"study_design_scores_gemma":[0.002082278,0.0009876299,0.0018487885,0.000092422015,0.0036284307,0.00017480247,0.044121753,0.07889542,0.0026185291,0.8296467,0.034229536,0.0016737154],"about_ca_topic_score_codex":0.00004381589,"about_ca_topic_score_gemma":0.0000041278654,"teacher_disagreement_score":0.4568728,"about_ca_system_score_codex":0.000109150715,"about_ca_system_score_gemma":0.00005156826,"threshold_uncertainty_score":0.99826235},"labels":[],"label_agreement":null},{"id":"W3034110505","doi":"10.1088/1742-6596/1531/1/012051","title":"Study of Hypersurface of semi-almost Hermitian manifold equipped with quarter-symmetric non-metric connection","year":2020,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric connection; Hermitian matrix; Mathematics; Hermitian manifold; Hypersurface; Manifold (fluid mechanics); Metric (unit); Mathematical analysis; Curvature; Pure mathematics; Quarter (Canadian coin); Geometry; Scalar curvature; Fundamental theorem of Riemannian geometry","score_opus":0.05075496942079641,"score_gpt":0.2729993187198381,"score_spread":0.22224434929904172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3034110505","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9792601,0.00008823013,0.019102093,0.00016769227,0.00008773809,0.00021322757,0.000009328108,0.000010171791,0.0010614062],"genre_scores_gemma":[0.9984875,0.00004184256,0.0012462679,0.000017151806,0.00013102166,0.0000019527056,0.0000016881739,0.000021272264,0.00005131302],"study_design_codex":"observational","study_design_gemma":"qualitative","domain_scores_codex":[0.99780416,0.0001048829,0.0008886293,0.0001883131,0.0008194391,0.00019455825],"domain_scores_gemma":[0.99630564,0.00027758366,0.001710164,0.000248119,0.0013283984,0.00013010985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033899758,0.00023670263,0.0010140622,0.00037422348,0.00006148092,0.000052077485,0.00033214685,0.00007322338,0.0000639165],"category_scores_gemma":[0.00033011448,0.00017608968,0.00020276268,0.0038201811,0.000055653465,0.00049313303,0.000050841958,0.000329318,0.0000025461982],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.009585461,0.040813874,0.23783927,0.008192211,0.024673915,0.0009642721,0.20656084,0.009484764,0.1526332,0.15620075,0.00881064,0.1442408],"study_design_scores_gemma":[0.016775373,0.077627756,0.04771106,0.0012581564,0.0072039445,0.00029362083,0.5618982,0.0032839025,0.259218,0.022050679,0.0003882699,0.0022910344],"about_ca_topic_score_codex":0.00003186592,"about_ca_topic_score_gemma":0.000026627367,"teacher_disagreement_score":0.35533735,"about_ca_system_score_codex":0.000027365926,"about_ca_system_score_gemma":0.00015689418,"threshold_uncertainty_score":0.7180729},"labels":[],"label_agreement":null},{"id":"W3038130544","doi":"10.1007/s12220-021-00780-4","title":"Heat Flow on Time-Dependent Manifolds","year":2021,"lang":"en","type":"preprint","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Ricci flow; Uniqueness; Gravitational singularity; Mathematics; Scalar curvature; Upper and lower bounds; Bounded function; Logarithm; Flow (mathematics); Ricci curvature; Yamabe flow; Curvature; Geometric flow; Scalar (mathematics); Mathematical analysis; Sectional curvature; Geometry","score_opus":0.02793322166478418,"score_gpt":0.2869871753304521,"score_spread":0.2590539536656679,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3038130544","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62008464,0.013468058,0.35360503,0.0011424337,0.0022205852,0.00045130908,0.00012308158,0.0001022061,0.008802639],"genre_scores_gemma":[0.9698651,0.0018437963,0.018763762,0.00022724032,0.0012084789,0.000008721861,0.000113789814,0.00010049302,0.007868611],"study_design_codex":"simulation_or_modeling","study_design_gemma":"meta_analysis","domain_scores_codex":[0.9919333,0.00047880728,0.0026993644,0.0008032702,0.003474714,0.00061054085],"domain_scores_gemma":[0.99254626,0.0014401334,0.0018037072,0.0016115007,0.0021210404,0.0004773349],"candidate_categories":["metaepi_narrow","bibliometrics","research_integrity","insufficient_payload"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.0039555524,0.00078400655,0.0039487407,0.018197073,0.00015226741,0.00061295263,0.0013840335,0.00086021464,0.006962908],"category_scores_gemma":[0.00364045,0.00061770005,0.005976517,0.02268663,0.00004370875,0.00019936566,0.0006831025,0.0023886487,0.00011094183],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039680657,0.007678208,0.014149754,0.0010909346,0.23049651,0.004463541,0.0009716973,0.58079946,0.00018028318,0.00028373982,0.112834364,0.046654716],"study_design_scores_gemma":[0.009660488,0.004192813,0.036952443,0.0030148183,0.5771594,0.0012090075,0.0063260435,0.3041587,0.0027791546,0.024581522,0.019160332,0.010805313],"about_ca_topic_score_codex":0.000074324154,"about_ca_topic_score_gemma":0.0000358707,"teacher_disagreement_score":0.34978047,"about_ca_system_score_codex":0.0006111993,"about_ca_system_score_gemma":0.0003632274,"threshold_uncertainty_score":0.99991286},"labels":[],"label_agreement":null},{"id":"W3038944322","doi":"10.1142/s1793525321500096","title":"Conjugation curvature for Cayley graphs","year":2020,"lang":"en","type":"preprint","venue":"Journal of Topology and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Directorate for Mathematical and Physical Sciences; National Science Foundation","keywords":"Mathematics; Curvature; Ricci curvature; Sign (mathematics); Cayley graph; Nilpotent; Abelian group; Group (periodic table); Pure mathematics; Combinatorics; Mathematical analysis; Geometry; Physics; Quantum mechanics","score_opus":0.05038777385707224,"score_gpt":0.34110387359334843,"score_spread":0.2907160997362762,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3038944322","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48369578,0.01488349,0.4727798,0.025482189,0.0015059125,0.0005578438,0.00023809455,0.000048981048,0.00080791005],"genre_scores_gemma":[0.977543,0.000692308,0.020582547,0.00037959643,0.00043157308,0.0000067701453,0.00006861296,0.000016387437,0.00027922573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982548,0.00013980597,0.00088605995,0.00028722186,0.0002541916,0.00017796304],"domain_scores_gemma":[0.9968225,0.00053610647,0.0016711766,0.0002484627,0.00057962275,0.00014214497],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089032296,0.00024433518,0.001501482,0.0010741398,0.00010142747,0.000065833476,0.00028764416,0.0005615271,0.00013331433],"category_scores_gemma":[0.0011276022,0.00018453585,0.0015090149,0.0009943392,0.00008855424,0.000069190864,0.0001261975,0.0008638031,7.697985e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013028977,0.0012393441,0.14063746,0.0031406977,0.22745693,0.00028781802,0.0057676216,0.0033738853,0.0006822214,0.4556556,0.14154886,0.018906673],"study_design_scores_gemma":[0.000762312,0.00025207788,0.0058293683,0.000062759806,0.047406558,0.0000324608,0.0005460665,0.004159837,0.00008673531,0.93536395,0.005115187,0.00038267748],"about_ca_topic_score_codex":0.000015353728,"about_ca_topic_score_gemma":0.000052181163,"teacher_disagreement_score":0.4938472,"about_ca_system_score_codex":0.000025474932,"about_ca_system_score_gemma":0.00008110538,"threshold_uncertainty_score":0.7525154},"labels":[],"label_agreement":null},{"id":"W3039776980","doi":"10.2140/gt.2022.26.2649","title":"The structure of submetries","year":2022,"lang":"en","type":"preprint","venue":"Geometry & Topology","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Business","score_opus":0.026332305711380965,"score_gpt":0.3063178236018652,"score_spread":0.27998551789048426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3039776980","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9775329,0.010955279,0.0013146498,0.0014878307,0.004620644,0.00060740695,0.0003789292,0.00008798187,0.0030143282],"genre_scores_gemma":[0.9943651,0.0004641376,0.0018079913,0.000081403436,0.00032086627,0.000029427449,0.00010066998,0.000041434894,0.002788946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971906,0.0003252354,0.0008207529,0.0005240167,0.000635913,0.0005034976],"domain_scores_gemma":[0.9947085,0.002566825,0.0008964881,0.0015299661,0.00022551323,0.00007270078],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008752825,0.00036024724,0.0010207188,0.00093507697,0.00035757668,0.000059581114,0.0013470284,0.00053419406,0.0058156364],"category_scores_gemma":[0.0034942536,0.00024683602,0.00051883026,0.0022511492,0.00038064126,0.00002865801,0.002105267,0.0015962701,0.000006497224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023073802,0.0005270849,0.040728483,0.0015244307,0.005736726,0.000059803762,0.0017029872,0.0010820582,0.00053156,0.82238626,0.09176486,0.033725012],"study_design_scores_gemma":[0.00035629957,0.00018613468,0.0077586765,0.000019637422,0.00082149566,0.000030396865,0.0021605226,0.000052626816,0.0010062412,0.76697594,0.22002818,0.0006038222],"about_ca_topic_score_codex":0.00020509733,"about_ca_topic_score_gemma":0.00020734766,"teacher_disagreement_score":0.12826331,"about_ca_system_score_codex":0.00009622353,"about_ca_system_score_gemma":0.00015768965,"threshold_uncertainty_score":0.9999984},"labels":[],"label_agreement":null},{"id":"W3040950448","doi":"10.3842/sigma.2020.095","title":"Covariant vs Contravariant Methods in Differential Geometry","year":2020,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Covariance and contravariance of vectors; Covariant transformation; Differential geometry; Curvature; Scalar (mathematics); Mathematics; Differential (mechanical device); Formalism (music); Scalar curvature; Geometry; Pure mathematics; Algebra over a field; Mathematical physics; Physics","score_opus":0.05243670231634332,"score_gpt":0.39625369263913124,"score_spread":0.3438169903227879,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3040950448","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035903964,0.0013631342,0.9578546,0.0026905432,0.0000871936,0.0008480544,0.00007307387,0.00010082139,0.0010785791],"genre_scores_gemma":[0.33063406,0.0002891384,0.667873,0.000582883,0.00020601883,0.00023386604,0.000026070315,0.000033583165,0.000121359895],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9956439,0.0012244391,0.001121166,0.001152291,0.000315143,0.00054306706],"domain_scores_gemma":[0.9937724,0.004501423,0.00030105948,0.00071035087,0.0001894949,0.000525273],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0046829083,0.00046680128,0.0012542738,0.000685938,0.00027767065,0.00020361986,0.00039025283,0.00039824616,0.0005257558],"category_scores_gemma":[0.0051351553,0.00037733998,0.00025286266,0.004646545,0.00034002683,0.0001927594,0.00028572188,0.0009789639,0.000009404337],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000109515655,0.00064837706,0.0070457114,0.0005099004,0.00027707347,0.0000035802946,0.0005150898,0.0000030383926,0.0041231792,0.52425224,0.00028273364,0.46222955],"study_design_scores_gemma":[0.0035605666,0.00061394833,0.055896334,0.0001155337,0.001141829,0.00006569761,0.0047662104,0.015566253,0.0050265733,0.82224864,0.08903135,0.001967038],"about_ca_topic_score_codex":0.00015984909,"about_ca_topic_score_gemma":0.000021378746,"teacher_disagreement_score":0.4602625,"about_ca_system_score_codex":0.00005388217,"about_ca_system_score_gemma":0.000055896347,"threshold_uncertainty_score":0.99986786},"labels":[],"label_agreement":null},{"id":"W3043883777","doi":"","title":"ON A QUARTER SYMMETRIC NON-METRIC CONNECTION IN AN LORENTZIAN PARA-SASAKIAN MANIFOLDS","year":2011,"lang":"en","type":"article","venue":"DergiPark (Istanbul University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Quarter (Canadian coin); Metric (unit); Connection (principal bundle); Mathematics; Pure mathematics; Mathematical analysis; Geology; Geometry; Fundamental theorem of Riemannian geometry; Geography; Economics; Curvature; Scalar curvature","score_opus":0.04169957687800082,"score_gpt":0.24154886907589665,"score_spread":0.19984929219789582,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3043883777","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8995716,0.000032706845,0.011041097,0.0000384679,0.00019401286,0.00029962268,0.000009509648,0.00011011133,0.0887029],"genre_scores_gemma":[0.9961582,0.000020554115,0.0014444374,0.000062817344,0.0000451598,0.0000022059455,0.000020389227,0.000029451883,0.0022168239],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.998008,0.0001802087,0.0003491614,0.00058108126,0.00040096513,0.00048055025],"domain_scores_gemma":[0.99846876,0.00028393167,0.00023434528,0.00063240953,0.00014914793,0.00023143382],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003850734,0.00030924272,0.00046570488,0.0050159586,0.00016068602,0.000057525805,0.0004655822,0.0002420071,0.0007291718],"category_scores_gemma":[0.00019463188,0.00031721554,0.0002159409,0.009051187,0.00004932017,0.00043813876,0.000057063684,0.00033937593,0.00014551038],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014527953,0.006774722,0.05840395,0.0002631364,0.0007320983,0.0027825404,0.009732821,0.00012194833,0.00016472714,0.9034159,0.011063863,0.0050914767],"study_design_scores_gemma":[0.02059872,0.008688117,0.6590245,0.0005788861,0.0026534533,0.00012452678,0.08253716,0.017582469,0.0011791408,0.15132509,0.04882614,0.006881802],"about_ca_topic_score_codex":0.00034078534,"about_ca_topic_score_gemma":0.0012649809,"teacher_disagreement_score":0.7520908,"about_ca_system_score_codex":0.0003248447,"about_ca_system_score_gemma":0.00004820671,"threshold_uncertainty_score":0.999928},"labels":[],"label_agreement":null},{"id":"W3044399219","doi":"10.1090/tran/8413","title":"Independence of synthetic curvature dimension conditions on transport distance exponent","year":2021,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ricci curvature; Geodesic; Convexity; Exponent; Dimension (graph theory); Upper and lower bounds; Combinatorics; Measure (data warehouse); Curvature; Metric space; Mathematical analysis; Geometry","score_opus":0.022144690489294364,"score_gpt":0.2881830719421679,"score_spread":0.26603838145287356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3044399219","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6201858,0.00014177487,0.37717292,0.0009690077,0.0001724227,0.000586871,0.0002586203,0.000059201117,0.00045337924],"genre_scores_gemma":[0.9821753,0.00015606426,0.017058682,0.00008483233,0.00002275553,0.0000783696,0.00002013153,0.000047272682,0.00035657964],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966649,0.00018622918,0.0010375886,0.0005354788,0.0012692595,0.00030659183],"domain_scores_gemma":[0.9957546,0.00092817185,0.0012239404,0.0016376481,0.000343562,0.000112102935],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005253561,0.00043175567,0.0014629617,0.00008102005,0.00017800154,0.000021773121,0.0007487907,0.00030381986,0.0004799818],"category_scores_gemma":[0.00018877853,0.0003010524,0.0023844228,0.0011636915,0.00089016923,0.000060654947,0.00006818522,0.0014417609,0.000003564643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013653216,0.08556911,0.006043319,0.06932283,0.050509494,0.00008481459,0.110388905,0.15854675,0.053118594,0.43368405,0.014952151,0.016414667],"study_design_scores_gemma":[0.0022423822,0.00095610286,0.023463713,0.015572272,0.018829228,0.00007948793,0.033930264,0.019899847,0.044885743,0.8359723,0.00030599034,0.0038626762],"about_ca_topic_score_codex":0.000068327325,"about_ca_topic_score_gemma":0.000020206231,"teacher_disagreement_score":0.40228826,"about_ca_system_score_codex":0.000113379414,"about_ca_system_score_gemma":0.00016904289,"threshold_uncertainty_score":0.99994415},"labels":[],"label_agreement":null},{"id":"W3045740077","doi":"10.1090/proc/15194","title":"The length of a shortest closed geodesic on a surface of finite area","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Geodesic; Combinatorics; Mathematics; Surface (topology); Riemannian manifold; Manifold (fluid mechanics); Geometry; Mathematical analysis","score_opus":0.040127740969256115,"score_gpt":0.2690137615548176,"score_spread":0.22888602058556148,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3045740077","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.992434,0.0000533482,0.0010177244,0.0028048062,0.000012445774,0.00035533722,0.0000152517405,0.00003184284,0.0032752433],"genre_scores_gemma":[0.9879834,0.000060145194,0.011566181,0.00022047819,0.000028596762,0.000008757915,3.490695e-7,0.000026511907,0.00010556569],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978931,0.00002000078,0.00076245336,0.00023724006,0.0008091079,0.0002781305],"domain_scores_gemma":[0.9958964,0.0020399743,0.001329613,0.00026660986,0.00037047148,0.00009695088],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008095763,0.00022131659,0.000860917,0.000018173909,0.000111909896,0.000025502608,0.0008078312,0.0000598368,0.000032281394],"category_scores_gemma":[0.0034991936,0.00011506806,0.0008321161,0.0016431331,0.0007673799,0.00005408467,0.00020751798,0.00030503323,0.0000038058831],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00092079537,0.00525548,0.019684006,0.0077111237,0.007969502,0.0000010162453,0.04954898,0.00072882,0.09023413,0.71241236,0.09683779,0.008696024],"study_design_scores_gemma":[0.002482615,0.0032446315,0.00787679,0.0015089043,0.003960611,0.000009184263,0.066027164,0.18474326,0.08873438,0.6381929,0.0016415198,0.0015780318],"about_ca_topic_score_codex":0.000007873128,"about_ca_topic_score_gemma":2.8366813e-7,"teacher_disagreement_score":0.18401444,"about_ca_system_score_codex":0.000024273506,"about_ca_system_score_gemma":0.00003512049,"threshold_uncertainty_score":0.46923393},"labels":[],"label_agreement":null},{"id":"W3048810923","doi":"10.4171/cmh/522","title":"Bounds on the Lagrangian spectral metric in cotangent bundles","year":2022,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Cotangent bundle; Lagrangian; Metric (unit); Trigonometric functions; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.059140968725260784,"score_gpt":0.2957381806879719,"score_spread":0.23659721196271113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3048810923","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95229405,0.0006806235,0.0013059715,0.014761974,0.00034329089,0.0014528594,0.000047474452,0.00013091313,0.028982868],"genre_scores_gemma":[0.9934785,0.000018657502,0.0015907491,0.0029540453,0.00007269633,0.00034952685,0.000021162896,0.00005343588,0.0014612238],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996821,0.0004080324,0.0007295306,0.00038491323,0.001064149,0.0005923874],"domain_scores_gemma":[0.9966706,0.001983406,0.00029094488,0.00090992,0.00004081186,0.00010431798],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001987636,0.0003425362,0.0005842398,0.0007074505,0.00058924314,0.00013949216,0.0008824652,0.000058529316,0.0069669415],"category_scores_gemma":[0.00048491958,0.00024072883,0.00031954114,0.0027165515,0.00008025736,0.00006759023,0.0003691558,0.00072286144,0.0001309614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068696114,0.004518151,0.0036709523,0.00014640047,0.00065018865,0.000053299384,0.005870808,0.00021152398,0.00014057402,0.8693176,0.11410739,0.0012444089],"study_design_scores_gemma":[0.003559924,0.0015404661,0.005174586,0.00019361268,0.0011164013,0.00015374825,0.03950634,0.0074225217,0.0011737162,0.8245863,0.11378177,0.0017906488],"about_ca_topic_score_codex":0.000155707,"about_ca_topic_score_gemma":0.00018480472,"teacher_disagreement_score":0.044731338,"about_ca_system_score_codex":0.0005184458,"about_ca_system_score_gemma":0.00004264276,"threshold_uncertainty_score":0.99394083},"labels":[],"label_agreement":null},{"id":"W3080111066","doi":"10.1002/cpa.22160","title":"Prescribed curvature measure problem in hyperbolic space","year":2023,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Curvature; Measure (data warehouse); Hyperbolic space; Space (punctuation); Mathematical analysis; Partial differential equation; Regular polygon; Nonlinear system; Hyperbolic partial differential equation; Mean curvature; Geometry","score_opus":0.06950743227381986,"score_gpt":0.3044342646835286,"score_spread":0.2349268324097087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3080111066","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.356977,0.0060027745,0.009078575,0.030824348,0.0001980017,0.006998239,0.0001215581,0.0025278984,0.58727163],"genre_scores_gemma":[0.8722355,0.0009207639,0.124416254,0.0001727659,0.000047127258,0.0003978946,0.000068735644,0.00007417855,0.0016668163],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985158,0.000059370745,0.000476615,0.00027640714,0.00035238903,0.00031944417],"domain_scores_gemma":[0.99686337,0.00083960406,0.00019098297,0.0019337573,0.00007989873,0.00009239031],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009269491,0.00025520078,0.00048063003,0.00044074838,0.00021695277,0.000095159296,0.00079254044,0.00021190765,0.000023385615],"category_scores_gemma":[0.00030231243,0.00021185096,0.00008595585,0.0021950386,0.00009715569,0.00006995414,0.00034560848,0.0005657224,0.00011811944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000075663315,0.00053761696,0.00007375929,0.00024074984,0.000083656654,0.0000014933051,0.0026647553,0.000045667675,0.0004923252,0.9755826,0.016123937,0.004145871],"study_design_scores_gemma":[0.0011530601,0.00005897064,0.0005452134,0.00043012443,0.00026768335,0.0000106435755,0.004492897,0.0061208257,0.00033362024,0.949272,0.036608577,0.0007064072],"about_ca_topic_score_codex":0.0000036837403,"about_ca_topic_score_gemma":0.00005044528,"teacher_disagreement_score":0.5856048,"about_ca_system_score_codex":0.00003089251,"about_ca_system_score_gemma":0.00003207821,"threshold_uncertainty_score":0.86390316},"labels":[],"label_agreement":null},{"id":"W3080139376","doi":"10.3842/sigma.2020.131","title":"Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary","year":2020,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Ricci curvature; Inscribed figure; Upper and lower bounds; Measure (data warehouse); Mathematical analysis; Scalar curvature; Bounded function; Boundary (topology); Combinatorics; Pure mathematics; Curvature; Geometry","score_opus":0.048359320884990946,"score_gpt":0.3506897866387138,"score_spread":0.30233046575372285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3080139376","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0700603,0.0046708747,0.9186391,0.0030217553,0.000084249805,0.0017107796,0.00015289578,0.00017814402,0.0014818987],"genre_scores_gemma":[0.576311,0.00017203359,0.42168647,0.0006859227,0.00024724743,0.0005358219,0.000049601334,0.00005341458,0.00025852452],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967703,0.00039285072,0.0007419393,0.0011137566,0.00046319276,0.0005179432],"domain_scores_gemma":[0.9946676,0.0031426102,0.00035419638,0.0007215779,0.0005719551,0.00054209534],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0032214012,0.0005116082,0.0011292659,0.00060717494,0.0007370666,0.00049881416,0.0003631769,0.00032542297,0.00012871828],"category_scores_gemma":[0.003146886,0.00037702397,0.00029735145,0.005668196,0.00057784596,0.00027740942,0.00012711828,0.0006351531,0.000005199905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006827299,0.0014004945,0.01096624,0.00203816,0.0019203674,0.0000035022967,0.0021124564,0.000003283571,0.001099044,0.5041716,0.0036328686,0.47196925],"study_design_scores_gemma":[0.003565193,0.0017545968,0.0037376971,0.00009930749,0.0025123886,0.00005586041,0.00943108,0.0026716404,0.002033316,0.5507458,0.4215245,0.0018686387],"about_ca_topic_score_codex":0.000060089387,"about_ca_topic_score_gemma":0.000039336817,"teacher_disagreement_score":0.5062507,"about_ca_system_score_codex":0.000070158014,"about_ca_system_score_gemma":0.00012812934,"threshold_uncertainty_score":0.99986815},"labels":[],"label_agreement":null},{"id":"W3080181912","doi":"10.1007/978-3-030-53725-8_1","title":"Extremal Eigenvalue Problems and Free Boundary Minimal Surfaces in the Ball","year":2020,"lang":"en","type":"book-chapter","venue":"Lecture notes in mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Minimal surface; Eigenvalues and eigenvectors; Ball (mathematics); Boundary (topology); Uniqueness; Pure mathematics; Euclidean geometry; Mathematical analysis; Geometry","score_opus":0.047871680628505706,"score_gpt":0.257671715355883,"score_spread":0.2098000347273773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3080181912","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03705972,0.06615483,0.11372724,0.016505478,0.001094329,0.011253717,0.0006121794,0.00064828555,0.75294423],"genre_scores_gemma":[0.5510148,0.0031707468,0.40376145,0.0035700817,0.0022415952,0.00031637223,0.00031769308,0.0012425479,0.034364738],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967156,0.00010327378,0.0011473496,0.00065102306,0.00093315094,0.0004496026],"domain_scores_gemma":[0.9952995,0.0029159717,0.00056504866,0.0010461062,0.0000828953,0.00009046991],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013037906,0.00076200813,0.0013660657,0.0004137674,0.00010756803,0.00025134438,0.00097614265,0.0008105623,0.00033435662],"category_scores_gemma":[0.0021822092,0.00051248935,0.0002897737,0.00042062913,0.00020964803,0.00008753096,0.00030466402,0.0015853274,0.000032510146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000114883565,0.001343582,0.0012254501,0.014926794,0.0015309592,0.0010476318,0.07430443,0.0012861126,0.00016486528,0.8768809,0.01049742,0.01667696],"study_design_scores_gemma":[0.00045961086,0.00010830168,0.00004816562,0.0006824959,0.00033660134,0.00005635737,0.0001379959,0.0035601158,0.000011015801,0.98155415,0.0124417795,0.0006034339],"about_ca_topic_score_codex":0.00001723986,"about_ca_topic_score_gemma":0.0010535204,"teacher_disagreement_score":0.7185795,"about_ca_system_score_codex":0.000081965016,"about_ca_system_score_gemma":0.00009326103,"threshold_uncertainty_score":0.9997327},"labels":[],"label_agreement":null},{"id":"W3080370679","doi":"10.4153/s0008439520000673","title":"Some results on Ricci-Bourguignon solitons and almost solitons","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":63,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Scalar curvature; Soliton; Euclidean geometry; Vector field; Scalar (mathematics); Constant (computer programming)","score_opus":0.04345794092468955,"score_gpt":0.261310123455678,"score_spread":0.21785218253098845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3080370679","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28592265,0.0011591952,0.0030518523,0.44978303,0.0004128353,0.0023100125,0.0009059967,0.00064281677,0.25581163],"genre_scores_gemma":[0.9820296,0.000034907956,0.004725738,0.00847882,0.0008017583,0.000039615003,0.000040757528,0.000084783154,0.0037639856],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99748814,0.000104019215,0.00065975694,0.0005740374,0.00042550432,0.00074855104],"domain_scores_gemma":[0.99650997,0.0009826702,0.00014635293,0.00051795616,0.00008811605,0.0017549513],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00054766494,0.00035106935,0.0006468264,0.00025169292,0.00024837768,0.00015975273,0.00033751503,0.00023958168,0.003723763],"category_scores_gemma":[0.0051974417,0.0002976456,0.0001899343,0.00052995444,0.00012713198,0.00004815811,0.00007329207,0.0004608354,0.0059544784],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038675964,0.00012303276,0.000026751424,0.00020160848,0.00012459088,0.00015219298,0.000898213,0.000005942264,0.000027059814,0.4445505,0.5530038,0.00084766105],"study_design_scores_gemma":[0.00148073,0.0004057309,0.00022891386,0.00020348869,0.00032217946,0.00003897213,0.0013582206,0.0018810594,0.00021400212,0.31348756,0.67935187,0.0010272716],"about_ca_topic_score_codex":0.00036982627,"about_ca_topic_score_gemma":0.00046457647,"teacher_disagreement_score":0.696107,"about_ca_system_score_codex":0.00010657723,"about_ca_system_score_gemma":0.00015499926,"threshold_uncertainty_score":0.99994755},"labels":[],"label_agreement":null},{"id":"W3080396167","doi":"10.1007/s40316-020-00144-4","title":"On the entropy norm on $${\\text {Ham}}(S^2)$$","year":2020,"lang":"fr","type":"article","venue":"Annales mathématiques du Québec","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Embedding; Entropy (arrow of time); Lipschitz continuity; Discrete mathematics; Combinatorics; Pure mathematics; Physics; Computer science; Thermodynamics; Artificial intelligence","score_opus":0.03243416547298252,"score_gpt":0.2489042237652472,"score_spread":0.21647005829226468,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3080396167","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40635064,0.0072516566,0.003541139,0.53495115,0.0005621861,0.0009855208,0.00009816248,0.00032159698,0.04593796],"genre_scores_gemma":[0.94628376,0.0011295704,0.0008366642,0.033066023,0.0014349178,0.000083806204,0.000023255057,0.00013153482,0.017010495],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99629265,0.0004944457,0.000927267,0.0006594818,0.0009164983,0.0007096325],"domain_scores_gemma":[0.9948028,0.0029765754,0.0005676171,0.0009526776,0.00030914875,0.0003912084],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00074180943,0.0006974244,0.00088083756,0.00017199095,0.00037360386,0.000382495,0.00093137345,0.00032958985,0.012086187],"category_scores_gemma":[0.0035811558,0.00047044051,0.0007510507,0.001059003,0.00029348012,0.00024475565,0.00019633984,0.0010004413,0.0125325015],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078885096,0.000527948,0.00019359874,0.00027246325,0.00037013466,0.00006199932,0.005989899,0.00008257955,0.000029347546,0.4563214,0.53120023,0.0048715593],"study_design_scores_gemma":[0.0005781788,0.0013903524,0.0008619455,0.00060055405,0.0005516116,0.000027311547,0.0014278135,0.0119213825,0.0008735142,0.04273621,0.9381512,0.00087995117],"about_ca_topic_score_codex":0.0027718893,"about_ca_topic_score_gemma":0.0036678691,"teacher_disagreement_score":0.5399331,"about_ca_system_score_codex":0.00024078276,"about_ca_system_score_gemma":0.0004645422,"threshold_uncertainty_score":0.99977475},"labels":[],"label_agreement":null},{"id":"W3081507643","doi":"","title":"Hypersurfaces of Kenmotsu manifolds endowed with a quarter-symmetric non-metric connection","year":2012,"lang":"en","type":"article","venue":"Maǧallaẗ al-Kuwayt li-l-ʿulūm wa-al-handasaẗ","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric (unit); Quarter (Canadian coin); Mathematics; Topology (electrical circuits); Pure mathematics; Geometry; Mathematical analysis; Geology; Combinatorics; Geography; Engineering; Operations management; Archaeology","score_opus":0.022159079508707418,"score_gpt":0.265352725960146,"score_spread":0.24319364645143857,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3081507643","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9591718,0.0034110225,0.012774132,0.0011493695,0.0011701344,0.0013118816,0.0000886559,0.00033057795,0.020592442],"genre_scores_gemma":[0.9884172,0.0003674602,0.007376345,0.00070392224,0.00034757244,0.00010328468,0.000072230585,0.00017485234,0.0024371408],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99344546,0.00033906207,0.0015840341,0.0010691168,0.0019456688,0.0016166689],"domain_scores_gemma":[0.9946223,0.0012295822,0.0012340529,0.001550841,0.00072418124,0.0006390482],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0023850992,0.0010305848,0.0019353353,0.0031713624,0.00040547294,0.00022621728,0.00081013195,0.0004550479,0.0013701103],"category_scores_gemma":[0.0009623632,0.00081538083,0.00072770886,0.010245475,0.00019033236,0.00078606897,0.0002216492,0.0007288582,0.00030655495],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0032939566,0.01843188,0.31193072,0.003320598,0.01396083,0.00028285064,0.014328848,0.0009133445,0.031371195,0.02316853,0.5230174,0.055979837],"study_design_scores_gemma":[0.03864529,0.013714811,0.22389671,0.0018227071,0.012666084,0.0012596115,0.022945598,0.015319088,0.048193015,0.0077394256,0.6008003,0.012997384],"about_ca_topic_score_codex":0.00042482276,"about_ca_topic_score_gemma":0.00016158757,"teacher_disagreement_score":0.08803401,"about_ca_system_score_codex":0.00027414702,"about_ca_system_score_gemma":0.00012965243,"threshold_uncertainty_score":0.9995428},"labels":[],"label_agreement":null},{"id":"W3083445404","doi":"10.1007/s12220-021-00702-4","title":"Uniqueness of Curvature Measures in Pseudo-Riemannian Geometry","year":2021,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Montréal; Natural Sciences and Engineering Research Council of Canada; Ministerio de Ciencia e Innovación; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Differential geometry; Curvature; Invariant (physics); Uniqueness; Mean curvature; Scalar curvature; Isotropy; Torsion of a curve; Fourier analysis","score_opus":0.032035603450995695,"score_gpt":0.3039640619053017,"score_spread":0.27192845845430597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3083445404","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9132143,0.010796178,0.074087925,0.00040668226,0.00019450785,0.000079883685,0.000016485512,0.000012833974,0.0011912067],"genre_scores_gemma":[0.9853575,0.0009577323,0.012530327,0.00007446337,0.00014492887,0.0000018746534,0.000009994731,0.000026973607,0.00089616165],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9947947,0.00039881162,0.0022163303,0.00035396323,0.0017985159,0.0004376651],"domain_scores_gemma":[0.99315774,0.0011907725,0.0020844955,0.0007162018,0.0026134152,0.00023738533],"candidate_categories":["metaepi_narrow","bibliometrics"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.0037656385,0.0003267359,0.002256365,0.014731083,0.00006416065,0.000080843536,0.0006495117,0.0003352164,0.00075675134],"category_scores_gemma":[0.0076395576,0.00026243937,0.0018746855,0.07869075,0.00007181075,0.00035138743,0.000117745,0.0008015631,0.0000042204315],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018870992,0.0032310407,0.91508204,0.0004679909,0.027056577,0.0012906516,0.0008543605,0.009777063,0.0013368063,0.004817494,0.0070073614,0.028889893],"study_design_scores_gemma":[0.0064756577,0.0008393136,0.8517173,0.0006752142,0.05425737,0.0006448593,0.008825312,0.0033141994,0.01361651,0.038436055,0.018793771,0.002404433],"about_ca_topic_score_codex":0.00008313723,"about_ca_topic_score_gemma":0.00024089943,"teacher_disagreement_score":0.07214324,"about_ca_system_score_codex":0.00017372103,"about_ca_system_score_gemma":0.0003118822,"threshold_uncertainty_score":0.9999828},"labels":[],"label_agreement":null},{"id":"W3087350077","doi":"10.1007/978-3-031-37913-0","title":"Geometric Analysis on Real Analytic Manifolds","year":2023,"lang":"en","type":"book","venue":"Lecture notes in mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Topology (electrical circuits); Algebraic number; Vector bundle; Manifold (fluid mechanics); Pure mathematics; Global analysis; Algebraic geometry and analytic geometry; Algebra over a field; Mathematical analysis; Ricci-flat manifold; Geometry; Combinatorics","score_opus":0.03673902672165285,"score_gpt":0.29943251692613815,"score_spread":0.2626934902044853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3087350077","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0032248264,0.0012119446,0.32930234,0.0005418958,0.0011073723,0.0025575852,0.00036746936,0.0014454644,0.6602411],"genre_scores_gemma":[0.04325539,0.0013692105,0.039997805,0.00037565376,0.0015426473,0.00016308378,0.0011082339,0.0009471438,0.9112408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99394166,0.00013784309,0.0018527299,0.0011860013,0.0019435537,0.0009382071],"domain_scores_gemma":[0.9880065,0.008003465,0.0012223454,0.0023005316,0.00025848113,0.00020872564],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0019479552,0.0011795815,0.0033300775,0.010959629,0.00013190933,0.00021558013,0.0011009411,0.0016170314,0.0010485442],"category_scores_gemma":[0.0050888727,0.0009719086,0.0018083203,0.015816469,0.00009201893,0.000069870934,0.0002392655,0.0017936367,0.00085905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002228234,0.007312293,0.0040732906,0.020170333,0.08330045,0.0039597354,0.009085088,0.085712224,0.000027269976,0.5080869,0.23884784,0.03920171],"study_design_scores_gemma":[0.0004578398,0.00017591524,0.0003013186,0.0005886761,0.010894309,0.0000092954515,0.00003727843,0.013574601,0.000019956402,0.9706516,0.0019244103,0.0013647437],"about_ca_topic_score_codex":0.000035568308,"about_ca_topic_score_gemma":0.0009984917,"teacher_disagreement_score":0.4625647,"about_ca_system_score_codex":0.000846314,"about_ca_system_score_gemma":0.00023788409,"threshold_uncertainty_score":0.9999189},"labels":[],"label_agreement":null},{"id":"W3091622969","doi":"10.1016/j.jfa.2022.109599","title":"Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel","year":2022,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"H2020 European Research Council; Institute for Pure and Applied Mathematics, University of California, Los Angeles; European Research Council; Rheinische Friedrich-Wilhelms-Universität Bonn","keywords":"Mathematics; Heat kernel; Compact space; Generator (circuit theory); Laplace operator; Pure mathematics; Flow (mathematics); Mathematical analysis; Spectrum (functional analysis); Space (punctuation); Sobolev inequality; Heat flow; Sobolev space; Geometry; Physics; Thermodynamics; Quantum mechanics","score_opus":0.03186893508531072,"score_gpt":0.25820594738949576,"score_spread":0.22633701230418504,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091622969","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8814722,0.0016313342,0.1100475,0.0024069017,0.0013301773,0.00012265744,0.000109433655,0.000037560952,0.0028422975],"genre_scores_gemma":[0.99151224,0.00007762705,0.0005540693,0.0011000381,0.00076771225,0.000011210461,0.00008544858,0.00002869329,0.005862947],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99603456,0.00036472324,0.0009982884,0.0003462542,0.001911575,0.00034460597],"domain_scores_gemma":[0.99771005,0.0010933912,0.0002849013,0.0003047821,0.00038101748,0.00022584206],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0028907221,0.00031441473,0.00085970433,0.0016846808,0.00062769256,0.00014549422,0.00020870204,0.00009240399,0.011224836],"category_scores_gemma":[0.00031847894,0.00022986565,0.0012570417,0.0028626067,0.00008090646,0.00029207542,0.00010952513,0.0007984769,0.000014595426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.005468394,0.0034147932,0.017627647,0.00007105755,0.033342272,0.00017170362,0.0006241599,0.54714084,0.0004445701,0.30639604,0.08365223,0.0016463218],"study_design_scores_gemma":[0.006175077,0.003621784,0.15475373,0.00005208372,0.02346077,0.0010331301,0.011607331,0.04157284,0.00011590053,0.7070728,0.048658844,0.0018757131],"about_ca_topic_score_codex":0.000027669288,"about_ca_topic_score_gemma":0.000032292235,"teacher_disagreement_score":0.50556797,"about_ca_system_score_codex":0.00042222103,"about_ca_system_score_gemma":0.00016755142,"threshold_uncertainty_score":0.98967904},"labels":[],"label_agreement":null},{"id":"W3096542794","doi":"10.5269/bspm.40607","title":"Certain results on Lorentzian para-Kenmotsu manifolds","year":2020,"lang":"en","type":"article","venue":"Boletim da Sociedade Paranaense de Matemática","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Manifold (fluid mechanics); Bar (unit); Metric (unit); Metric connection; Quarter (Canadian coin); Pure mathematics; Einstein; Mathematics; Mathematical analysis; Physics; Geometry; Mathematical physics; Curvature; Scalar curvature; Fundamental theorem of Riemannian geometry; Engineering","score_opus":0.0817216366325623,"score_gpt":0.31312070670013037,"score_spread":0.23139907006756807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3096542794","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7969611,0.0009463932,0.019549485,0.08577954,0.00049181277,0.0019925518,0.00064560986,0.0016489937,0.0919845],"genre_scores_gemma":[0.9874845,0.00006910266,0.0054915175,0.0048552803,0.00040696815,0.000040918945,0.00008479412,0.00009493835,0.0014719615],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9961667,0.0002855612,0.00091556745,0.00082628586,0.0008591952,0.00094670383],"domain_scores_gemma":[0.9975058,0.00061177963,0.00034377692,0.00081017497,0.00012111016,0.00060738006],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00086239283,0.00052362436,0.00081956456,0.00016429278,0.00028052478,0.00025916717,0.000612179,0.00037250321,0.0006080666],"category_scores_gemma":[0.0012643234,0.0004620654,0.0005245208,0.0011420875,0.00012681924,0.000098487195,0.00012048255,0.0005857713,0.0013316124],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011818137,0.0011590463,0.00090672687,0.00069071073,0.0012058058,0.00078163174,0.011717792,0.0007050344,0.0020369187,0.19856812,0.77836186,0.0026845478],"study_design_scores_gemma":[0.019228745,0.0032427555,0.01677318,0.0008664698,0.003708208,0.00017136568,0.01761497,0.059919853,0.009607034,0.10752822,0.75393903,0.007400139],"about_ca_topic_score_codex":0.000055064364,"about_ca_topic_score_gemma":0.000009296096,"teacher_disagreement_score":0.1905234,"about_ca_system_score_codex":0.00013491897,"about_ca_system_score_gemma":0.00009127811,"threshold_uncertainty_score":0.9997831},"labels":[],"label_agreement":null},{"id":"W3097925478","doi":"10.1515/crelle-2022-0072","title":"Hitting estimates on Einstein manifolds and applications","year":2022,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Einstein; Ricci curvature; Mathematics; Manifold (fluid mechanics); Ricci-flat manifold; Bounded function; Constant (computer programming); Limit (mathematics); Curvature; Brownian motion; Pure mathematics; Scalar curvature; Mathematical analysis; Mathematical physics; Geometry; Statistics; Computer science","score_opus":0.028345190260470495,"score_gpt":0.31045123342999303,"score_spread":0.28210604316952254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3097925478","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63060635,0.11423633,0.1734752,0.014415766,0.0018883906,0.0027723426,0.00016495347,0.00063330686,0.061807346],"genre_scores_gemma":[0.9013033,0.011783923,0.0670962,0.0010886263,0.0042204577,0.00020497778,0.000034333087,0.0004207241,0.013847473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961691,0.00025003872,0.0013167041,0.0003885898,0.0012517127,0.0006238853],"domain_scores_gemma":[0.996331,0.0010248225,0.0014537062,0.0004639989,0.00027305572,0.00045343014],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0027819274,0.00048033096,0.00087380776,0.00093565317,0.0026928696,0.00071917824,0.00062922074,0.00011388457,0.000929589],"category_scores_gemma":[0.0006067662,0.00036669555,0.0005094743,0.00087718864,0.000070935945,0.00031106046,0.00031464268,0.0017776927,0.000031747135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008018495,0.008502935,0.003030847,0.0020556059,0.010958054,0.0048625804,0.012042084,0.007536436,0.008257102,0.4911852,0.1747978,0.2759695],"study_design_scores_gemma":[0.0031254848,0.0012890277,0.00019559014,0.00062823395,0.0018747449,0.013669509,0.006802696,0.0031678313,0.0011196119,0.64994293,0.31684312,0.0013412302],"about_ca_topic_score_codex":0.0000050258027,"about_ca_topic_score_gemma":0.000006031029,"teacher_disagreement_score":0.27462825,"about_ca_system_score_codex":0.0002698346,"about_ca_system_score_gemma":0.000100410296,"threshold_uncertainty_score":0.99998367},"labels":[],"label_agreement":null},{"id":"W3098481079","doi":"","title":"2 The Ricci flow of asymptotically hyperbolic mass and applications","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ricci flow; Mathematics; Flow (mathematics); Mathematical physics; Mathematical analysis; Pure mathematics; Ricci curvature; Geometry","score_opus":0.014363704882580592,"score_gpt":0.2532931169149299,"score_spread":0.2389294120323493,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098481079","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.027704064,0.0005835931,0.90136963,0.0039948607,0.00004029052,0.0003725413,0.0000076803435,0.00006666724,0.06586067],"genre_scores_gemma":[0.9683762,0.00024328756,0.022508582,0.000058565423,0.00007865128,0.000041576935,4.971178e-7,0.000010593051,0.008682021],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941784,0.000020998146,0.00019334069,0.00010512403,0.00014942423,0.00011326013],"domain_scores_gemma":[0.99864644,0.00086093904,0.00005820394,0.00029560758,0.00009344725,0.000045345667],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002771355,0.0000616363,0.00013324156,0.00004171808,0.00007319703,0.000017334713,0.0001270438,0.000041779724,0.00013433804],"category_scores_gemma":[0.0002798222,0.000024883984,0.00005371446,0.0002867952,0.00006938069,0.00002909662,0.00003120268,0.000034370485,0.000028584094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000043282625,0.000063894746,0.0017875638,0.000018364999,0.00011136486,1.7999547e-7,0.00003462778,7.1820455e-7,0.001953921,0.8483973,0.0042138156,0.14341392],"study_design_scores_gemma":[0.0006961698,0.00007106338,0.0076772156,0.000025840278,0.00026961553,0.00000656938,0.00033359934,0.00103061,0.0017756618,0.80682826,0.18101439,0.00027099045],"about_ca_topic_score_codex":0.0000021555595,"about_ca_topic_score_gemma":0.0000088274455,"teacher_disagreement_score":0.94067216,"about_ca_system_score_codex":0.000005936031,"about_ca_system_score_gemma":0.000011307085,"threshold_uncertainty_score":0.14709075},"labels":[],"label_agreement":null},{"id":"W3099610698","doi":"10.1007/s00526-020-01855-w","title":"Index estimates for surfaces with constant mean curvature in 3-dimensional manifolds","year":2020,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mean curvature; Manifold (fluid mechanics); Euclidean space; Mathematical analysis; Constant (computer programming); Bounded function; Constant-mean-curvature surface; Genus; Surface (topology); Curvature; Index (typography); Mean curvature flow; Boundary (topology); Sectional curvature; Space (punctuation); Function (biology); Pure mathematics; Combinatorics; Geometry; Scalar curvature","score_opus":0.042845216724096,"score_gpt":0.2857767890575666,"score_spread":0.2429315723334706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099610698","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08157331,0.00014648588,0.9167312,0.00086484716,0.000049878316,0.00037974407,0.00014388446,0.000025145566,0.000085514075],"genre_scores_gemma":[0.9960099,0.0000043096816,0.003675153,0.000047150417,0.000059805236,0.000047498634,0.00011662188,0.000013992041,0.000025560434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988621,0.000043755164,0.00042238706,0.0002465108,0.00023860678,0.00018665794],"domain_scores_gemma":[0.9986711,0.00069340976,0.00019012809,0.00013147364,0.00019981159,0.00011409162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013434784,0.00015981102,0.0003710658,0.00012787565,0.00013843512,0.00005359975,0.00008912747,0.00010595644,0.00016065115],"category_scores_gemma":[0.00050895975,0.0001230488,0.00008756058,0.0005534991,0.00006649886,0.00011484465,0.00003625693,0.00011671786,0.0000014093636],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011476984,0.00028371747,0.0013878675,0.00009824659,0.00025251473,0.000001388796,0.0010080499,0.0029814546,0.0013338753,0.9919605,0.00024314658,0.00033441474],"study_design_scores_gemma":[0.0013776156,0.00018474624,0.003928085,0.000047530742,0.00043743968,0.0000010376967,0.0001812221,0.988262,0.0003962245,0.0048753214,0.000102413054,0.00020634713],"about_ca_topic_score_codex":0.000070818074,"about_ca_topic_score_gemma":0.0002689244,"teacher_disagreement_score":0.9870852,"about_ca_system_score_codex":0.000012471955,"about_ca_system_score_gemma":0.00007589922,"threshold_uncertainty_score":0.5017784},"labels":[],"label_agreement":null},{"id":"W3103125121","doi":"","title":"Static Ricci-flat 5-manifolds admitting the 2-sphere","year":2006,"lang":"en","type":"article","venue":"CERN Document Server (European Organization for Nuclear Research)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Physics; Gravitational singularity; Hypersurface; Infinity; Basis (linear algebra); String (physics); String theory; Zero (linguistics); Theoretical physics; Classical mechanics; Mathematical physics; Pure mathematics; Mathematical analysis; Geometry; Mathematics","score_opus":0.033229829506412525,"score_gpt":0.2829428338920695,"score_spread":0.24971300438565697,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103125121","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9832371,0.00016724676,0.0002761126,0.0029642044,0.0001462865,0.00086557004,0.000003278268,0.00040824455,0.011931973],"genre_scores_gemma":[0.9875555,0.00002626102,0.00013950243,0.00025127883,0.000278151,0.0000012485841,0.000110619425,0.00032803102,0.011309399],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99724275,0.0005047065,0.0004950698,0.0004060467,0.0008444142,0.0005070084],"domain_scores_gemma":[0.99809414,0.00027386815,0.00021929627,0.000676603,0.0006237527,0.00011230969],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0020129997,0.00021007058,0.0002285098,0.00018232549,0.0012904101,0.00093748333,0.0009240072,0.00006585202,0.0069472664],"category_scores_gemma":[0.0009741622,0.0001546509,0.00013414097,0.0017152956,0.00008822947,0.00036165435,0.0005394294,0.00031385708,0.0018310609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028857627,0.00024697065,0.0006978915,0.0002241679,0.00020185919,0.000022409793,0.0009961358,0.00019772774,0.00009009606,0.8338846,0.16213416,0.0012751328],"study_design_scores_gemma":[0.0023772835,0.00042486194,0.011437869,0.00016077567,0.00039129631,0.000049725066,0.004524652,0.00022689812,0.00093135826,0.53191686,0.44654998,0.0010084532],"about_ca_topic_score_codex":0.00007398633,"about_ca_topic_score_gemma":0.000016134176,"teacher_disagreement_score":0.30196774,"about_ca_system_score_codex":0.00017901194,"about_ca_system_score_gemma":0.000017177315,"threshold_uncertainty_score":0.99894613},"labels":[],"label_agreement":null},{"id":"W3103208730","doi":"","title":"ON THE GEOMETRY OF NULL CONES TO INFINITY UNDER CURVATURE FLUX BOUNDS","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Infinity; Curvature; Null (SQL); Flux (metallurgy); Geometry; Mean curvature; Mathematical physics; Classical mechanics; Mathematical analysis","score_opus":0.046711191881675676,"score_gpt":0.29492285419997866,"score_spread":0.248211662318303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103208730","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8956809,0.00006793868,0.023477348,0.008831801,0.00017795242,0.00024032596,0.000022708067,0.00006218608,0.07143883],"genre_scores_gemma":[0.96981794,0.000006024975,0.0009589435,0.001652469,0.000067764064,0.000009537637,0.0000016479585,0.000015782105,0.027469924],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99873394,0.00006852318,0.00031941416,0.00020870424,0.00043823742,0.00023118708],"domain_scores_gemma":[0.9968741,0.0020615268,0.00013030277,0.00064983784,0.00019695556,0.00008725608],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00064126734,0.0001664072,0.00032605516,0.00024567638,0.000079596306,0.000032804743,0.0003245564,0.00013333357,0.005679688],"category_scores_gemma":[0.0019353331,0.00006824294,0.00017743549,0.0012770119,0.000063997,0.000062521416,0.000089109555,0.00014386141,0.00032122617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019884328,0.00014307658,0.001148184,0.000016200054,0.00015547314,5.80128e-7,0.000087629654,0.0000032511057,0.00096505793,0.82643235,0.16982317,0.0012051342],"study_design_scores_gemma":[0.0010187285,0.0004428518,0.018759353,0.0001929305,0.00029747133,0.0000051430006,0.0010955363,0.00003162654,0.014402256,0.8395178,0.123592205,0.00064410473],"about_ca_topic_score_codex":0.000023098417,"about_ca_topic_score_gemma":0.000049970084,"teacher_disagreement_score":0.07413699,"about_ca_system_score_codex":0.00002899156,"about_ca_system_score_gemma":0.000031152624,"threshold_uncertainty_score":0.99522924},"labels":[],"label_agreement":null},{"id":"W3103397569","doi":"","title":"Singularity of mean curvature flow of Lagrangian submanifolds","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mean curvature flow; Submanifold; Tangent cone; Singularity; Tangent; Curvature; Mathematical analysis; Mean curvature; Lagrangian; Flow (mathematics); Singular point of a curve; Geometry; Isolated singularity","score_opus":0.036016003170011635,"score_gpt":0.28739810257336307,"score_spread":0.25138209940335143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103397569","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91051215,0.0015335517,0.028237838,0.00016448037,0.00030378386,0.0002410406,0.000027095524,0.0000756398,0.058904417],"genre_scores_gemma":[0.96017027,0.0000075648522,0.03848381,0.000031160176,0.0000996229,0.0000012765571,0.000008231435,0.000013142697,0.0011848981],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882525,0.000051625546,0.0003875348,0.000113148555,0.00037428073,0.00024813286],"domain_scores_gemma":[0.99894106,0.00015130172,0.00021208383,0.00040923577,0.00019301256,0.00009327322],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007432699,0.0001317388,0.00042993532,0.00017607225,0.000027412356,0.000007278893,0.00017875156,0.00016125424,0.0008689765],"category_scores_gemma":[0.0002821845,0.00009597581,0.000257616,0.00084264105,0.00003836588,0.00013462367,0.000047717138,0.00013064321,0.000010487855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046199355,0.0026469594,0.12113921,0.0009332714,0.0011180801,0.0000025196637,0.0058916667,0.000011915243,0.007233449,0.8229755,0.029175673,0.008825541],"study_design_scores_gemma":[0.006420491,0.00094177143,0.3190959,0.0006397569,0.008102552,0.000075328564,0.011741494,0.005711412,0.22062361,0.32725558,0.095349975,0.004042113],"about_ca_topic_score_codex":0.00007601317,"about_ca_topic_score_gemma":0.00011739713,"teacher_disagreement_score":0.49571994,"about_ca_system_score_codex":0.000012136119,"about_ca_system_score_gemma":0.000014708805,"threshold_uncertainty_score":0.95146835},"labels":[],"label_agreement":null},{"id":"W3103675356","doi":"10.4153/cjm-2005-039-x","title":"Deformations of<i>G</i><sub>2</sub>and Spin(7) Structures","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":89,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Harvard University","keywords":"Holonomy; Mathematics; Vector field; Manifold (fluid mechanics); Spin (aerodynamics); Product (mathematics); Metric (unit); Field (mathematics); Pure mathematics; Spin structure; Mathematical analysis; Geometry; Physics; Quantum mechanics","score_opus":0.02051496599246206,"score_gpt":0.24799624932809697,"score_spread":0.22748128333563492,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103675356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9841194,0.0009031334,0.01309499,0.0003802319,0.00010078588,0.00009139817,0.00001549866,0.0000054037155,0.0012891496],"genre_scores_gemma":[0.95567274,0.000056187182,0.043995,0.00006868471,0.00015559453,6.7068345e-7,0.0000011610298,0.000018096891,0.000031849413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853814,0.000029657043,0.00083842943,0.00007139855,0.00028655582,0.00023581453],"domain_scores_gemma":[0.99809694,0.0002051413,0.0007114304,0.00022964877,0.00034750896,0.00040933126],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006382075,0.00015012293,0.00046209406,0.00060156704,0.00010190279,0.00005972554,0.00023331933,0.00010259169,0.000079874764],"category_scores_gemma":[0.00090468605,0.00011685564,0.00018100067,0.0004261317,0.000088232475,0.00022651914,0.000013793103,0.00023156138,0.0000074954382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015991094,0.0004542695,0.0034780086,0.002078023,0.0019227269,0.00011504121,0.02855499,0.0015566096,0.0060120667,0.8066834,0.06837721,0.08075166],"study_design_scores_gemma":[0.0027036497,0.00050609605,0.005515487,0.0010920252,0.0023928098,0.0031938895,0.014640245,0.005936265,0.04216133,0.8928397,0.02762639,0.0013920862],"about_ca_topic_score_codex":0.000047659432,"about_ca_topic_score_gemma":0.0038139627,"teacher_disagreement_score":0.08615632,"about_ca_system_score_codex":0.00007073488,"about_ca_system_score_gemma":0.00034911965,"threshold_uncertainty_score":0.47652346},"labels":[],"label_agreement":null},{"id":"W3104318290","doi":"10.5539/jmr.v14n1p1","title":"Killing Tensor Fields of Third Rank on a Two-Dimensional Riemannian Torus","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Russian Foundation for Basic Research","keywords":"Mathematics; Killing vector field; Torus; Lambda; Rank (graph theory); Mathematical physics; Covariant derivative; Tensor (intrinsic definition); Field (mathematics); Vector field; Mathematical analysis; Combinatorics; Pure mathematics; Physics; Geometry; Quantum mechanics","score_opus":0.14859278158789183,"score_gpt":0.4243952126848974,"score_spread":0.27580243109700553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3104318290","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98335177,0.00078613206,0.0047594076,0.0018882848,0.00023632222,0.00017017186,0.00000650926,0.000010574679,0.008790844],"genre_scores_gemma":[0.9251796,0.00009767459,0.07081785,0.000075897304,0.0003583187,0.0000034503123,0.0000014679952,0.000035484085,0.003430235],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99531925,0.00031646472,0.0011952404,0.00018102757,0.0025927727,0.00039523776],"domain_scores_gemma":[0.9920174,0.0039036216,0.0006058393,0.00052535115,0.0027563397,0.0001914538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005653495,0.00016905532,0.00080221146,0.0007266995,0.0001369997,0.00007693206,0.0004341851,0.00016081861,0.0006511238],"category_scores_gemma":[0.0063280067,0.00011940738,0.00046670306,0.0012530534,0.00008921459,0.000106264364,0.00014326844,0.001117734,0.00003577897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012559004,0.027052175,0.002515887,0.008351035,0.007971418,0.0058607687,0.026608849,0.012581999,0.052017167,0.47084582,0.3670536,0.017885365],"study_design_scores_gemma":[0.0062727835,0.002354623,0.00053652405,0.0045498246,0.00078563247,0.0014619711,0.014389638,0.026117975,0.0583895,0.8776642,0.006563678,0.0009136593],"about_ca_topic_score_codex":0.000006413662,"about_ca_topic_score_gemma":0.000011720028,"teacher_disagreement_score":0.40681836,"about_ca_system_score_codex":0.00007529099,"about_ca_system_score_gemma":0.00030844996,"threshold_uncertainty_score":0.7575672},"labels":[],"label_agreement":null},{"id":"W3104393632","doi":"","title":"Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes","year":2017,"lang":"en","type":"article","venue":"Cronfa (Swansea University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Government of Canada; National Science Foundation","keywords":"Quadric; Hyperplane; Action (physics); Affine transformation; Euclidean geometry; Mathematics; Spacetime; Pure mathematics; Mathematical physics; Euclidean space; Scaling; Mathematical analysis; Physics; Geometry; Quantum mechanics","score_opus":0.05763715763515032,"score_gpt":0.2977311352328863,"score_spread":0.24009397759773599,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3104393632","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96161807,0.000079614525,0.00079686195,0.0006028514,0.000036673428,0.000096024334,0.0000034054256,0.000008995673,0.03675752],"genre_scores_gemma":[0.99117607,0.000084785956,0.000587335,0.000008772809,0.000026787606,1.629865e-7,0.0000010987882,0.0000051490824,0.008109851],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99941516,0.00006646896,0.000086375236,0.00015364586,0.00014080628,0.00013753213],"domain_scores_gemma":[0.9993196,0.00009836883,0.0001388046,0.00036985744,0.000041220053,0.000032114312],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022080577,0.00009440831,0.00019064252,0.00022809741,0.0002701889,0.00007110318,0.00030486454,0.00006777651,0.00013592804],"category_scores_gemma":[0.00012162292,0.00007241816,0.00008489436,0.00023875335,0.0002308788,0.00025107598,0.00006360505,0.00013236003,0.0000018246293],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039341752,0.0011511514,0.3449078,0.0003595787,0.00066134706,0.0003373855,0.030511906,0.00007325874,0.0036014747,0.5912172,0.011592361,0.015193069],"study_design_scores_gemma":[0.0022539378,0.00024173265,0.8266023,0.00010437371,0.0005585925,0.000022376002,0.04844521,0.0005542677,0.002285345,0.012335921,0.10605677,0.0005391623],"about_ca_topic_score_codex":0.00021937712,"about_ca_topic_score_gemma":0.00067668903,"teacher_disagreement_score":0.5788813,"about_ca_system_score_codex":0.000027342012,"about_ca_system_score_gemma":0.000024372046,"threshold_uncertainty_score":0.2953127},"labels":[],"label_agreement":null},{"id":"W3109565465","doi":"10.4153/s0008439520000910","title":"Prescribed <i>k</i>-symmetric curvature hypersurfaces in de Sitter space","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Consejo Nacional de Ciencia y Tecnología; Leverhulme Trust","keywords":"Mathematics; De Sitter space; Anti-de Sitter space; Curvature; Space (punctuation); Mathematical physics; Tilt (camera); Function (biology); Mathematical analysis; Mean curvature; Pure mathematics; De Sitter universe; Geometry; Physics; Universe; Quantum mechanics","score_opus":0.0349552575049274,"score_gpt":0.24523896463740008,"score_spread":0.21028370713247269,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3109565465","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6813257,0.001506157,0.0061125117,0.17479855,0.00012925605,0.0012256723,0.000069683345,0.00025966702,0.13457283],"genre_scores_gemma":[0.9732438,0.000014535737,0.017645292,0.0067158216,0.0001610848,0.0000315543,0.000008803855,0.00006073421,0.0021184005],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9977437,0.00013976905,0.0004861983,0.00043506015,0.0003835505,0.0008116988],"domain_scores_gemma":[0.9977268,0.00063408463,0.00010099632,0.00036970593,0.00007872252,0.0010896634],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006098883,0.00030272838,0.0006098247,0.0004125764,0.000079820726,0.0001271631,0.0004585915,0.00028921178,0.012011991],"category_scores_gemma":[0.0044911657,0.00026615558,0.00019128693,0.0019380962,0.000062428524,0.000053423973,0.000057774352,0.00060105283,0.003917527],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004552346,0.00029304958,0.004155145,0.00082277233,0.00023426316,0.0005748634,0.004558132,0.00009034708,0.00027818073,0.2175309,0.76988983,0.0015269661],"study_design_scores_gemma":[0.0017783041,0.00017787448,0.0018915201,0.00026595138,0.00036756776,0.00005448971,0.0020234277,0.0068693478,0.00037225697,0.14404911,0.84071404,0.0014361353],"about_ca_topic_score_codex":0.0008371284,"about_ca_topic_score_gemma":0.0013484104,"teacher_disagreement_score":0.2919181,"about_ca_system_score_codex":0.00019596267,"about_ca_system_score_gemma":0.00019593629,"threshold_uncertainty_score":0.9999791},"labels":[],"label_agreement":null},{"id":"W3110834011","doi":"10.2298/fil2003795z","title":"On a Ricci quarter-symmetric metric recurrent connection and a projective Ricci quarter-symmetric metric recurrent connection in a Riemannian manifold","year":2020,"lang":"en","type":"article","venue":"Filomat","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Fundamental theorem of Riemannian geometry; Connection (principal bundle); Levi-Civita connection; Ricci flow; Pure mathematics; Quarter (Canadian coin); Ricci curvature; Metric (unit); Metric connection; Mathematical analysis; Topology (electrical circuits); Combinatorics; Geometry","score_opus":0.03741750571555641,"score_gpt":0.28340741586710455,"score_spread":0.24598991015154814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3110834011","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9445322,0.007665262,0.0156829,0.0030247355,0.0024161185,0.0056251567,0.00022398139,0.00095742045,0.019872233],"genre_scores_gemma":[0.9969956,0.00030394277,0.001297245,0.00032037465,0.000376356,0.00036412434,0.00009015096,0.000099487916,0.00015266179],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.99338716,0.0007653724,0.0016191503,0.0017446127,0.0014404724,0.0010432267],"domain_scores_gemma":[0.9946356,0.0025927008,0.0010380872,0.0007349319,0.000446756,0.00055192574],"candidate_categories":["metaepi_narrow","bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.0015497332,0.00094304176,0.0016385857,0.010485667,0.00034111305,0.0003595007,0.0004821374,0.00050214,0.00035263438],"category_scores_gemma":[0.007616085,0.00084210664,0.000540318,0.04300922,0.000053586286,0.00054912403,0.00017709455,0.0011934349,0.0002863086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.005605792,0.019910458,0.03237461,0.0061994125,0.005028531,0.00084928854,0.023037195,0.0003182312,0.00032764734,0.2767839,0.2655634,0.3640015],"study_design_scores_gemma":[0.051235072,0.06718765,0.3334437,0.002816303,0.008670455,0.0009596746,0.04563512,0.26600084,0.0022336703,0.14938861,0.056830816,0.015598098],"about_ca_topic_score_codex":0.00028968658,"about_ca_topic_score_gemma":0.0001985537,"teacher_disagreement_score":0.34840342,"about_ca_system_score_codex":0.000746192,"about_ca_system_score_gemma":0.00010386047,"threshold_uncertainty_score":0.999403},"labels":[],"label_agreement":null},{"id":"W3114852136","doi":"10.2478/awutm-2019-0015","title":"On a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection","year":2019,"lang":"en","type":"article","venue":"Annals of West University of Timisoara - Mathematics and Computer Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Quarter (Canadian coin); Metric (unit); Manifold (fluid mechanics); Mathematics; Pure mathematics; Mathematical analysis; Fundamental theorem of Riemannian geometry; Topology (electrical circuits); Geometry; Combinatorics; Geography; Engineering; Ricci curvature","score_opus":0.029951037869880903,"score_gpt":0.242932567638013,"score_spread":0.2129815297681321,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3114852136","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9228981,0.00003968038,0.07255288,0.00019014537,0.000056107132,0.00024169937,0.000005840634,0.000023720031,0.0039918325],"genre_scores_gemma":[0.9681144,0.000030764957,0.031591054,0.00004150921,0.000009697959,1.806437e-7,0.0000011406825,0.0000068545755,0.00020441425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99850607,0.000023155202,0.0002494712,0.00034416787,0.0006311031,0.0002460618],"domain_scores_gemma":[0.998259,0.0003592569,0.00044229577,0.00044300727,0.00037149218,0.00012495939],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063995935,0.00016890217,0.00047000626,0.0012087956,0.00012507585,0.000049353494,0.0004795691,0.000056424564,0.00009636421],"category_scores_gemma":[0.00006191466,0.00014127999,0.00011732154,0.002891809,0.00018681333,0.000255964,0.0001235187,0.000104629915,0.000018166587],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002232358,0.0033652927,0.0039466857,0.0016011897,0.00064154377,0.00004003316,0.007703953,0.00094762706,0.0006065702,0.9588913,0.0029748837,0.019057726],"study_design_scores_gemma":[0.008639746,0.017196547,0.05917024,0.0026580903,0.0011128301,0.00020174167,0.014684433,0.730199,0.006542638,0.15543704,0.0012794657,0.0028782287],"about_ca_topic_score_codex":0.00006281505,"about_ca_topic_score_gemma":0.000014750326,"teacher_disagreement_score":0.8034542,"about_ca_system_score_codex":0.00001598904,"about_ca_system_score_gemma":0.000055775057,"threshold_uncertainty_score":0.57612306},"labels":[],"label_agreement":null},{"id":"W3115495599","doi":"10.1007/978-3-031-24255-7_4","title":"An Introduction to Reshetnyak’s Theory of Subharmonic Distances","year":2023,"lang":"en","type":"book-chapter","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Subharmonic; Physics; Mathematics; Quantum mechanics; Nonlinear system","score_opus":0.05095072849757491,"score_gpt":0.29320691027118295,"score_spread":0.24225618177360803,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3115495599","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0010112285,0.00051219563,0.024989797,0.0019563367,0.0011800311,0.0007188914,0.00010290083,0.00043778028,0.9690908],"genre_scores_gemma":[0.012198608,0.00011527086,0.0022217303,0.00004524192,0.0010280106,0.000009677453,0.00007112915,0.00008357262,0.98422676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99833137,0.00003579106,0.00052300224,0.0004600412,0.00047218933,0.0001776133],"domain_scores_gemma":[0.99829614,0.00023922422,0.00027673028,0.0008748843,0.00021606103,0.00009694289],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009624979,0.00026290314,0.0006157296,0.00054707594,0.000044860462,0.000031423442,0.0003073996,0.0002463792,0.003202233],"category_scores_gemma":[0.000272107,0.00020234386,0.0002541246,0.0002804127,0.000050035644,0.00007359746,0.000058691825,0.00025201697,0.00021192974],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027039086,0.000025724647,0.0000027135088,0.00007485372,0.00017504368,0.0000021575258,0.000099781246,0.0000055324326,0.000037376645,0.9357551,0.058672026,0.005122682],"study_design_scores_gemma":[0.000069661924,0.00012721618,0.000028969267,0.000043309603,0.0003053963,0.0000011879531,0.00021129959,0.000012807512,0.00010084129,0.83499366,0.16383174,0.00027392287],"about_ca_topic_score_codex":0.000006106453,"about_ca_topic_score_gemma":0.00016645709,"teacher_disagreement_score":0.105159715,"about_ca_system_score_codex":0.000045651614,"about_ca_system_score_gemma":0.00003232266,"threshold_uncertainty_score":0.997709},"labels":[],"label_agreement":null},{"id":"W3119222878","doi":"10.1515/agms-2020-0122","title":"Remarks on Manifolds with Two-Sided Curvature Bounds","year":2021,"lang":"en","type":"preprint","venue":"Analysis and Geometry in Metric Spaces","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Curvature; Mathematics; Pure mathematics; Geology; Geometry; Mathematical analysis","score_opus":0.017168829354905615,"score_gpt":0.29510697464967384,"score_spread":0.27793814529476824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3119222878","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97700214,0.010452784,0.0070003583,0.0005415171,0.00022947924,0.00038260792,0.00003871513,0.000082113474,0.004270282],"genre_scores_gemma":[0.9837152,0.002328512,0.010958565,0.00024124439,0.00023775894,0.00006139452,0.00034740756,0.00007122704,0.0020387387],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9939711,0.0004363034,0.0011440702,0.0018928854,0.0017632163,0.0007923862],"domain_scores_gemma":[0.9941598,0.002081272,0.0010626353,0.0018842644,0.00051668106,0.00029534163],"candidate_categories":["metaepi_narrow","bibliometrics","scholarly_communication"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.0024917154,0.0010143741,0.0031521646,0.015075574,0.00020336607,0.0012563898,0.0006983468,0.0009393554,0.0007757363],"category_scores_gemma":[0.0025962635,0.00075564464,0.0010948546,0.043514743,0.00011954436,0.00019736966,0.0006622156,0.0021565184,0.000007451517],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031493724,0.0029138653,0.8838819,0.001638913,0.057779443,0.0014143329,0.0017304214,0.015326539,0.00004609446,0.009343182,0.0067370706,0.018873276],"study_design_scores_gemma":[0.0064110793,0.0012319535,0.8243327,0.002770633,0.08711478,0.00008831036,0.015149182,0.01985722,0.0006396627,0.02903471,0.005407972,0.007961813],"about_ca_topic_score_codex":0.0019360586,"about_ca_topic_score_gemma":0.0064661223,"teacher_disagreement_score":0.059549242,"about_ca_system_score_codex":0.00019348667,"about_ca_system_score_gemma":0.00015558174,"threshold_uncertainty_score":0.9997804},"labels":[],"label_agreement":null},{"id":"W3119782924","doi":"10.1007/s10455-022-09853-1","title":"Deformations of $$\\mathrm {G}_2$$-instantons on nearly $$\\mathrm {G}_2$$ manifolds","year":2022,"lang":"en","type":"preprint","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Instanton; Spinor; Connection (principal bundle); Infinitesimal; Dirac operator; Mathematical physics; Space (punctuation); Homogeneous; Pure mathematics; Mathematics; Kernel (algebra); Deformation (meteorology); Physics; Operator (biology); Dirac (video compression format); Mathematical analysis; Combinatorics; Geometry; Quantum mechanics; Computer science","score_opus":0.06673900825514884,"score_gpt":0.3597645897241852,"score_spread":0.29302558146903634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3119782924","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97220874,0.00457799,0.0043669557,0.00096639997,0.00023372163,0.00042904986,0.0030062553,0.00008053721,0.014130352],"genre_scores_gemma":[0.9950199,0.0019880077,0.0016869503,0.00026815987,0.000085598236,0.000037790145,0.00044432606,0.000034840556,0.0004343965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99411154,0.0002546645,0.0021767148,0.00096141256,0.0018302331,0.0006654441],"domain_scores_gemma":[0.99424416,0.00043481003,0.0023157555,0.0018109768,0.0008810446,0.0003132328],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019177063,0.00076216494,0.0028603482,0.0018979984,0.00030487264,0.0001665465,0.0010393008,0.0005739879,0.0013978072],"category_scores_gemma":[0.0005912572,0.0006624522,0.0026355302,0.010218922,0.0002006475,0.00019674057,0.0013345769,0.0008212537,0.000016154072],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004759553,0.00908553,0.35402274,0.0047399015,0.0855681,0.000106078296,0.0017735137,0.018447993,0.00005272354,0.4614083,0.032195333,0.03212385],"study_design_scores_gemma":[0.0018893261,0.0018568358,0.62649226,0.00084265106,0.04321097,0.00003142337,0.006868214,0.009407588,0.0006000496,0.29141673,0.013443191,0.0039407467],"about_ca_topic_score_codex":0.0009766524,"about_ca_topic_score_gemma":0.00047878458,"teacher_disagreement_score":0.27246955,"about_ca_system_score_codex":0.000100649166,"about_ca_system_score_gemma":0.00020085198,"threshold_uncertainty_score":0.99958265},"labels":[],"label_agreement":null},{"id":"W3120202071","doi":"10.4171/jems/1397","title":"Solutions of the Ginzburg–Landau equations with vorticity concentrating near a nondegenerate geodesic","year":2023,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Geodesic; Vorticity; Mathematical analysis; Mathematical physics; Pure mathematics; Vortex; Physics; Mechanics","score_opus":0.06301155013450027,"score_gpt":0.2734229943535175,"score_spread":0.21041144421901725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3120202071","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8028552,0.00009659353,0.18768694,0.0045170565,0.00024387489,0.00037292673,0.000016134913,0.00005098352,0.004160322],"genre_scores_gemma":[0.98617303,0.0000097839775,0.012602643,0.00014669291,0.00016775294,0.0000015783762,4.2679576e-7,0.000028936827,0.00086912396],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975548,0.00047829334,0.00079384557,0.00011013299,0.000772146,0.00029079398],"domain_scores_gemma":[0.99729216,0.0009256983,0.0009534406,0.0004241276,0.00031844556,0.00008612141],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003289974,0.00015044921,0.0003793007,0.00002666271,0.00050669274,0.000087191576,0.00059103506,0.00004285397,0.00007686081],"category_scores_gemma":[0.0019841664,0.000066449735,0.0007711689,0.0013938512,0.00026207938,0.00009229357,0.0002051508,0.00045091257,0.000020602989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011580031,0.00406965,0.010726976,0.0024602453,0.0093289865,0.00007687126,0.06174849,0.058096282,0.023951573,0.5070345,0.31677535,0.0056152614],"study_design_scores_gemma":[0.0053875363,0.0005122724,0.034491625,0.0031131292,0.0066300863,0.00033594196,0.011459362,0.45110667,0.0031766053,0.47886375,0.0035701748,0.0013528403],"about_ca_topic_score_codex":0.0000017169384,"about_ca_topic_score_gemma":0.0000025942902,"teacher_disagreement_score":0.3930104,"about_ca_system_score_codex":0.000050513543,"about_ca_system_score_gemma":0.00012527336,"threshold_uncertainty_score":0.3897122},"labels":[],"label_agreement":null},{"id":"W3123646226","doi":"10.1090/proc/15770","title":"Self-similar curve shortening flow in hyperbolic 2-space","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Flow (mathematics); Mathematics; Curvature; Space (punctuation); Constant (computer programming); Hyperbolic space; Plane (geometry); Geometry; Mathematical analysis; Hyperbolic geometry; Computer science; Differential geometry","score_opus":0.017775079517492482,"score_gpt":0.2664691895331057,"score_spread":0.24869411001561323,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3123646226","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98489684,0.00018315275,0.0018330826,0.0021152727,0.00003900773,0.00027716855,0.000004759968,0.00010750708,0.010543231],"genre_scores_gemma":[0.656753,0.0001092252,0.34220093,0.00034125848,0.00008269665,0.00003055738,8.105518e-7,0.000045623492,0.00043587855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99791706,0.000026429101,0.0006071017,0.0003836949,0.0006139163,0.0004517769],"domain_scores_gemma":[0.9982848,0.00044248183,0.0005034258,0.00028983114,0.0003707658,0.00010867392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000893767,0.00026363682,0.0009091512,0.00005611183,0.00010829335,0.00007112853,0.00052183867,0.00009314285,0.00009286135],"category_scores_gemma":[0.0013942,0.00018226056,0.00075006403,0.002968883,0.00023877405,0.00014190482,0.00035082016,0.0004544386,0.000009950862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009310087,0.008334539,0.1299307,0.008374972,0.0041122823,0.000017325876,0.048462447,0.00010415343,0.03424931,0.67765766,0.07779236,0.010871173],"study_design_scores_gemma":[0.0015365457,0.00019130556,0.010976769,0.0008846346,0.0014603625,0.00013168009,0.044132434,0.12091319,0.017031714,0.7961285,0.0050659315,0.0015469264],"about_ca_topic_score_codex":0.000006903398,"about_ca_topic_score_gemma":0.0000022848428,"teacher_disagreement_score":0.34036785,"about_ca_system_score_codex":0.00009886905,"about_ca_system_score_gemma":0.00006201387,"threshold_uncertainty_score":0.74323696},"labels":[],"label_agreement":null},{"id":"W3125579293","doi":"10.5831/hmj.2020.42.3.601","title":"$\\eta$-Ricci solitons on trans-Sasakian manifolds with quarter-symmetric non-metric connection","year":2020,"lang":"en","type":"article","venue":"Honam Mathematical Journal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Quarter (Canadian coin); Mathematics; Metric (unit); Mathematical analysis; Pure mathematics; Topology (electrical circuits); Physics; Combinatorics; Geometry; Ricci curvature; Fundamental theorem of Riemannian geometry; Geography; Engineering","score_opus":0.03193522075800832,"score_gpt":0.27050810209273074,"score_spread":0.23857288133472243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3125579293","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19538298,0.00022582273,0.74937844,0.007273011,0.00032073658,0.00074547314,0.000018626097,0.00025637686,0.04639851],"genre_scores_gemma":[0.98058575,0.000036347392,0.017512226,0.0006880606,0.00071850506,0.000020614993,0.0000049084347,0.00008149946,0.0003520572],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960651,0.00017562465,0.0010556503,0.00049400475,0.0014899573,0.0007196835],"domain_scores_gemma":[0.99678916,0.0011595112,0.00049064937,0.0004273289,0.0003147385,0.00081860734],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008974045,0.0005128839,0.0010430674,0.0010892514,0.00036314994,0.0004136573,0.0005103468,0.00024999114,0.0017671208],"category_scores_gemma":[0.001227626,0.0003409175,0.0005606767,0.004824518,0.00007790494,0.0003154356,0.00003698837,0.0011343987,0.00052305503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0020676525,0.013971126,0.00292925,0.00396392,0.0071446127,0.0031001167,0.016826104,0.0011511046,0.0016901002,0.7018098,0.18191154,0.063434646],"study_design_scores_gemma":[0.020812452,0.020668022,0.010928767,0.0021265172,0.0077644195,0.008288959,0.018332617,0.10268541,0.0026355896,0.77700824,0.022295725,0.006453264],"about_ca_topic_score_codex":0.0000026576067,"about_ca_topic_score_gemma":0.0000037957343,"teacher_disagreement_score":0.7852028,"about_ca_system_score_codex":0.00012299746,"about_ca_system_score_gemma":0.000095041454,"threshold_uncertainty_score":0.9999043},"labels":[],"label_agreement":null},{"id":"W3126900315","doi":"10.1016/j.anihpc.2021.01.003","title":"Polyhomogénéité des métriques compatibles avec une structure de Lie à l'infini le long du flot de Ricci","year":2021,"lang":"fr","type":"article","venue":"Annales de l Institut Henri Poincaré C Analyse Non Linéaire","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Humanities; Physics; Philosophy","score_opus":0.022812528026952564,"score_gpt":0.27967697286684406,"score_spread":0.2568644448398915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3126900315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8340458,0.058846362,0.095441975,0.005796572,0.00048049187,0.00036948218,0.00029567303,0.00022112159,0.004502507],"genre_scores_gemma":[0.94422597,0.008829036,0.035442024,0.0018600057,0.0018597526,0.000030732845,0.0004486205,0.00016883221,0.00713506],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99281687,0.0009945193,0.0018096379,0.0012860032,0.000959486,0.0021334842],"domain_scores_gemma":[0.99422044,0.00085137656,0.0008615434,0.001531827,0.0014073288,0.001127465],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014615789,0.0012549857,0.0021479717,0.0010204812,0.0012468803,0.0008555985,0.0010824577,0.0012999664,0.00100117],"category_scores_gemma":[0.0022713437,0.001299939,0.0016509462,0.005629594,0.0009649745,0.0010068065,0.00047375876,0.0016847665,0.0001445491],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004314729,0.0052042278,0.6187544,0.007943239,0.012977209,0.0144212,0.046686392,0.04803699,0.0054059946,0.06513364,0.06294037,0.11206487],"study_design_scores_gemma":[0.0077688377,0.0011080895,0.33942518,0.0076338677,0.016161289,0.0076262048,0.029398082,0.24693684,0.049970005,0.16675073,0.119402625,0.007818252],"about_ca_topic_score_codex":0.0078355055,"about_ca_topic_score_gemma":0.062397785,"teacher_disagreement_score":0.27932924,"about_ca_system_score_codex":0.00093432225,"about_ca_system_score_gemma":0.0045428798,"threshold_uncertainty_score":0.99999654},"labels":[],"label_agreement":null},{"id":"W3131371812","doi":"10.4153/s0008439521000084","title":"Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Quadric; Mathematics; Pure mathematics; Mathematical analysis","score_opus":0.041614942481522636,"score_gpt":0.2663501942773022,"score_spread":0.22473525179577958,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3131371812","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8898059,0.0006105774,0.0004817271,0.016401002,0.000059409664,0.0007598602,0.0000507813,0.000028118402,0.091802634],"genre_scores_gemma":[0.99334604,0.00012406144,0.0040438515,0.0009671379,0.00004072536,0.000028802695,0.00001642674,0.000026898897,0.0014060749],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977016,0.00020932627,0.00080213696,0.00030257838,0.00044381633,0.0005405278],"domain_scores_gemma":[0.99683195,0.0017990978,0.00022164323,0.0006875431,0.00016991018,0.00028984927],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013764123,0.0002705074,0.0008507213,0.00018092792,0.00022345448,0.00012042808,0.00051751826,0.00013578768,0.0046538156],"category_scores_gemma":[0.0011211619,0.0001585858,0.00019910965,0.0009825918,0.00059944106,0.00003620517,0.000110667184,0.0003518639,0.00026379875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000072161434,0.00020998105,0.0020362174,0.0008495166,0.00035834755,0.00013447391,0.0074570645,0.000054094737,0.00034337342,0.95092815,0.03603418,0.0015224664],"study_design_scores_gemma":[0.014372123,0.00038616586,0.15636972,0.0012860525,0.0019969759,0.0010474458,0.06725429,0.08477813,0.00029870743,0.43656307,0.23226249,0.003384818],"about_ca_topic_score_codex":0.0058161123,"about_ca_topic_score_gemma":0.020046053,"teacher_disagreement_score":0.514365,"about_ca_system_score_codex":0.00007740833,"about_ca_system_score_gemma":0.0002537849,"threshold_uncertainty_score":0.9978356},"labels":[],"label_agreement":null},{"id":"W3132798415","doi":"10.4310/pamq.2022.v18.n2.a4","title":"A fully-nonlinear flow and quermassintegral inequalities in the sphere","year":2022,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Curvature; Regular polygon; Flow (mathematics); Mathematics; Nonlinear system; Focus (optics); Convergence (economics); Forcing (mathematics); Space (punctuation); Set (abstract data type); Current (fluid); Term (time); Mean curvature flow; Inequality; Mathematical analysis; Applied mathematics; Mathematical optimization; Computer science; Geometry; Physics; Mean curvature; Optics; Economics","score_opus":0.024744396435229382,"score_gpt":0.2526235268985798,"score_spread":0.22787913046335043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3132798415","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9829723,0.00063180306,0.0047701723,0.0011084425,0.000059119044,0.0006429521,0.000048701033,0.00006698351,0.009699526],"genre_scores_gemma":[0.9634291,0.0000149892285,0.035445325,0.00033172846,0.00010113006,0.00025224808,0.000022385746,0.000031132884,0.00037195766],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847126,0.00007676277,0.00046561874,0.000257276,0.00044755408,0.00028153523],"domain_scores_gemma":[0.99889493,0.0005233285,0.00016223257,0.0003412003,0.00002298018,0.000055347813],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010774306,0.00023129811,0.00043938603,0.00013764758,0.00026264883,0.0001554846,0.0002497281,0.00006565965,0.00020162592],"category_scores_gemma":[0.00003831551,0.00015481362,0.00007551002,0.0005123854,0.00006668664,0.000064759624,0.00006277393,0.0004352683,0.0000048179722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003615586,0.00086048164,0.00012324005,0.0006711937,0.00013137358,0.000029404884,0.08977708,0.000017382092,0.00015766024,0.86318123,0.0056869383,0.039327838],"study_design_scores_gemma":[0.0010237255,0.00035110718,0.00013926382,0.000038173224,0.00020079035,0.00012248714,0.22942472,0.0089309355,0.000016048383,0.7524083,0.0068651745,0.00047924515],"about_ca_topic_score_codex":0.000014209159,"about_ca_topic_score_gemma":0.0001039756,"teacher_disagreement_score":0.13964763,"about_ca_system_score_codex":0.000019647963,"about_ca_system_score_gemma":0.000024168514,"threshold_uncertainty_score":0.6313116},"labels":[],"label_agreement":null},{"id":"W3133857574","doi":"","title":"Semi-Symmetry Properties of $S$-Manifolds Admitting a Quarter-Symmetric Metric Connection","year":2020,"lang":"en","type":"article","venue":"DergiPark (Istanbul University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Connection (principal bundle); Symmetry (geometry); Mathematics; Metric (unit); Metric connection; Pure mathematics; Combinatorics; Mathematical analysis; Mathematical physics; Topology (electrical circuits); Physics; Geometry; Fundamental theorem of Riemannian geometry; Geography; Engineering; Archaeology","score_opus":0.03840674838679684,"score_gpt":0.21732481563519004,"score_spread":0.1789180672483932,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3133857574","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94167024,0.0009553332,0.022662258,0.00062947127,0.0001680731,0.00037772386,0.000018594419,0.00025756244,0.03326077],"genre_scores_gemma":[0.99698985,0.00005907857,0.0015554252,0.00009850766,0.00009820295,9.799678e-7,0.000006906671,0.000028531878,0.0011624966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9979471,0.00018652654,0.00048100154,0.0004804286,0.00054244726,0.00036251103],"domain_scores_gemma":[0.9981817,0.0003809737,0.00047253695,0.00036078502,0.00036780344,0.00023619414],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00035548315,0.00027980085,0.0006475763,0.001776413,0.00018630904,0.00005350157,0.00044628233,0.00018948999,0.00018752988],"category_scores_gemma":[0.0016506698,0.00027209305,0.00035798913,0.011803874,0.000066638546,0.00033394742,0.00013899263,0.00029587938,0.00003318316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002280991,0.00426593,0.039737217,0.006676664,0.0073832707,0.0011300481,0.020865683,0.0009906263,0.026084118,0.79575783,0.08054702,0.014280617],"study_design_scores_gemma":[0.019102832,0.005997459,0.0091837365,0.0013425157,0.010855013,0.0001664495,0.29288137,0.050982747,0.08615378,0.012804535,0.5026887,0.007840889],"about_ca_topic_score_codex":0.00007689769,"about_ca_topic_score_gemma":0.000026842286,"teacher_disagreement_score":0.78295326,"about_ca_system_score_codex":0.0001449898,"about_ca_system_score_gemma":0.00009268223,"threshold_uncertainty_score":0.9999731},"labels":[],"label_agreement":null},{"id":"W3134683289","doi":"10.4134/bkms.b190783","title":"Zero mean curvature surfaces in isotropic three-space","year":2021,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Zero (linguistics); Isotropy; Curvature; Mathematical analysis; Mean curvature; Center of curvature; Space (punctuation); Geometry; Physics; Optics","score_opus":0.033972781784678566,"score_gpt":0.2807400520599988,"score_spread":0.24676727027532025,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3134683289","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92472357,0.0028595107,0.020738296,0.0031135906,0.0002529413,0.00016491205,0.000004961411,0.00012942016,0.048012786],"genre_scores_gemma":[0.96633357,0.000067062305,0.017471952,0.0002049577,0.000053148797,0.0000049210453,0.000009831607,0.000019610105,0.015834922],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987182,0.000062869345,0.00028234214,0.00031370847,0.00033592634,0.00028692247],"domain_scores_gemma":[0.9990242,0.00022673386,0.0000756272,0.00046273982,0.00013922632,0.0000714623],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00025793584,0.00016874558,0.00037965263,0.00014911497,0.00004723268,0.000072936215,0.0001743781,0.00015514485,0.0017525356],"category_scores_gemma":[0.0004071546,0.00013017587,0.00014525668,0.0017214525,0.000020113848,0.000119733944,0.00008619335,0.00028869318,0.00008952815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021249865,0.00093735836,0.14334513,0.00022671807,0.00048318936,0.00030945838,0.0016674487,0.00036904335,0.0018118287,0.7180716,0.12753624,0.0052207713],"study_design_scores_gemma":[0.0027235448,0.00012352288,0.07810205,0.00020058516,0.0004688072,0.000045525685,0.004196758,0.0072652795,0.0064065396,0.77517676,0.12371254,0.0015780873],"about_ca_topic_score_codex":0.00010338656,"about_ca_topic_score_gemma":0.0076468834,"teacher_disagreement_score":0.06524307,"about_ca_system_score_codex":0.00003570546,"about_ca_system_score_gemma":0.000052201012,"threshold_uncertainty_score":0.99916},"labels":[],"label_agreement":null},{"id":"W3137803138","doi":"10.1090/tran/8549","title":"Some topological results of Ricci limit spaces","year":2022,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Limit (mathematics); Pure mathematics; Topological space; Ricci flow; Topology (electrical circuits); Ricci curvature; Mathematical analysis; Combinatorics; Geometry","score_opus":0.02920679790645482,"score_gpt":0.2786009239816073,"score_spread":0.2493941260751525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3137803138","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89118737,0.0016035275,0.08430331,0.015640112,0.00061904744,0.0014865752,0.0014914306,0.00014729831,0.0035213276],"genre_scores_gemma":[0.97728205,0.00031181087,0.018613474,0.00023600373,0.00008375981,0.00005299731,0.000004563286,0.00004056453,0.0033747584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99561507,0.00052329805,0.001482605,0.00045706413,0.0014102063,0.0005117495],"domain_scores_gemma":[0.9945043,0.0021362077,0.0017505744,0.0012962789,0.00016820488,0.00014444302],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0015325906,0.0003794249,0.0015046613,0.00010784716,0.0006366934,0.000033767028,0.0012191922,0.000117949014,0.0017178154],"category_scores_gemma":[0.00047932292,0.00026274504,0.0026473226,0.0031556545,0.0016397042,0.00010916262,0.00020303701,0.0010453786,0.000018779221],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0034500859,0.069072194,0.0011830904,0.009845663,0.028150821,0.00002463539,0.104434244,0.04368654,0.014122113,0.5853736,0.10778971,0.032867346],"study_design_scores_gemma":[0.006131637,0.0057626427,0.0031470251,0.0005033267,0.012931284,0.00014144431,0.19577338,0.056802966,0.0070548863,0.69644046,0.0127634695,0.0025474925],"about_ca_topic_score_codex":0.00022006095,"about_ca_topic_score_gemma":0.000004943123,"teacher_disagreement_score":0.111066885,"about_ca_system_score_codex":0.00016535315,"about_ca_system_score_gemma":0.00013502117,"threshold_uncertainty_score":0.9999825},"labels":[],"label_agreement":null},{"id":"W3143210090","doi":"","title":"The Christoffel-Minkowski Problem II: Weingarten Curvature Equations","year":2006,"lang":"en","type":"article","venue":"数学年刊B辑(英文版)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Christoffel symbols; Minkowski space; Curvature; Mathematics; Mathematical analysis; Mathematical physics; Physics; Geometry","score_opus":0.01784164585968321,"score_gpt":0.25719705779777374,"score_spread":0.23935541193809054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3143210090","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23316786,0.019806458,0.085916914,0.03238063,0.0027151364,0.004093822,0.00017280308,0.0019626715,0.6197837],"genre_scores_gemma":[0.9415863,0.000035726604,0.005954289,0.00020981453,0.00080151326,0.000114602604,0.000072679635,0.000059594375,0.051165447],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99764436,0.000105179424,0.00061279105,0.00039927982,0.00066383183,0.0005745804],"domain_scores_gemma":[0.9977156,0.0007837766,0.00031796185,0.00082686974,0.00025714262,0.000098650744],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000855328,0.0003101646,0.00038646607,0.00018165619,0.0012248007,0.0002238939,0.00054697116,0.0002310073,0.00025450927],"category_scores_gemma":[0.0005451675,0.00020167459,0.00032029586,0.0014113582,0.000105389,0.00017378079,0.00014905303,0.0004985827,0.00018513342],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001422911,0.0004352022,0.00063329656,0.000052712967,0.00023543993,0.000011755143,0.00094715954,0.00013145858,0.000295796,0.55508554,0.43257344,0.009583953],"study_design_scores_gemma":[0.00057639857,0.000113114074,0.0013428234,0.000051224768,0.00037283503,0.000011114488,0.0005072447,0.0022225613,0.00016998682,0.20075798,0.7933846,0.00049008423],"about_ca_topic_score_codex":0.000247484,"about_ca_topic_score_gemma":0.0011555509,"teacher_disagreement_score":0.7084185,"about_ca_system_score_codex":0.00007490666,"about_ca_system_score_gemma":0.00007336739,"threshold_uncertainty_score":0.9420301},"labels":[],"label_agreement":null},{"id":"W3146670181","doi":"10.1007/s00222-024-01253-5","title":"$L^{2}$-Cohomology of quasi-fibered boundary metrics","year":2024,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Cohomology; Moduli space; Fibered knot; Mathematics; Magnetic monopole; Conjecture; Pure mathematics; Compactification (mathematics); Boundary (topology); Embedding; Metric (unit); Algebra over a field; Mathematical analysis; Physics; Computer science","score_opus":0.05942781052822415,"score_gpt":0.33621407344858406,"score_spread":0.2767862629203599,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3146670181","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42641044,0.011968398,0.5014735,0.0014132158,0.0018240209,0.00096010586,0.0000631916,0.0008754016,0.05501175],"genre_scores_gemma":[0.9628923,0.000056699624,0.03164897,0.000034547367,0.00014632804,0.000040980045,0.00001763012,0.00005233641,0.0051101893],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99790686,0.00010308248,0.0008718612,0.00031516497,0.0005262837,0.00027671587],"domain_scores_gemma":[0.99800164,0.0009889943,0.00022607413,0.00052457623,0.00017408305,0.000084611325],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011434389,0.00021682691,0.00062459917,0.00088129623,0.00007700472,0.00010687463,0.0002897014,0.00016803965,0.0015113249],"category_scores_gemma":[0.0011396137,0.00017363185,0.0004909765,0.0024879496,0.00013920355,0.00018945805,0.0000909288,0.00020690329,0.00033016605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000055562564,0.0005361757,0.0001173732,0.0018802779,0.00046971216,0.000026261725,0.00058079464,0.0000010613687,0.00031620444,0.9771139,0.0143998945,0.004552809],"study_design_scores_gemma":[0.00016959621,0.000090922294,0.000084545696,0.00026177894,0.00043410275,0.000051170944,0.00029116677,0.0026230288,0.0005233645,0.98719305,0.008078758,0.00019851206],"about_ca_topic_score_codex":0.000008587875,"about_ca_topic_score_gemma":0.0000073487167,"teacher_disagreement_score":0.53648186,"about_ca_system_score_codex":0.000045763023,"about_ca_system_score_gemma":0.000073953815,"threshold_uncertainty_score":0.99940145},"labels":[],"label_agreement":null},{"id":"W3148112204","doi":"10.1007/s40627-021-00077-w","title":"A note on Schwarz’s lemma","year":2021,"lang":"en","type":"article","venue":"Complex Analysis and its Synergies","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Lemma (botany); Mathematics; Differential geometry; Maximum principle; Curvature; Differential (mechanical device); Pure mathematics; Number theory; Calculus (dental); Geometry; Mathematical optimization; Physics","score_opus":0.0638791621614932,"score_gpt":0.3155524729332234,"score_spread":0.2516733107717302,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3148112204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9628865,0.0027610725,0.011957556,0.00208825,0.000103374536,0.00010569042,0.000042242867,0.00014673066,0.019908566],"genre_scores_gemma":[0.99144775,0.00023550219,0.0030734602,0.00027536272,0.00009397964,0.000006940304,0.00005723641,0.000016342952,0.0047934563],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9983304,0.00011023958,0.00039678588,0.0004698689,0.00040935035,0.00028334695],"domain_scores_gemma":[0.9985596,0.00038839728,0.000148222,0.00049988413,0.0002855337,0.00011837042],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002827864,0.00023354805,0.0007627675,0.00058097305,0.00023077527,0.00019071157,0.00016765596,0.00009249372,0.0015891847],"category_scores_gemma":[0.00062660937,0.00018382033,0.00050266105,0.0032602397,0.000037545906,0.0001079486,0.0001272344,0.0001600693,0.000054352964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058250855,0.0010879288,0.0060480866,0.0002664054,0.0128050875,0.00024886485,0.0012615733,0.0017939333,0.009259044,0.90533227,0.03689736,0.024941208],"study_design_scores_gemma":[0.0038416965,0.0006091032,0.23368065,0.00027876467,0.036588185,0.000094689756,0.0069544497,0.22664891,0.020751296,0.13774478,0.3282838,0.0045236764],"about_ca_topic_score_codex":0.000021242024,"about_ca_topic_score_gemma":0.00024357741,"teacher_disagreement_score":0.7675875,"about_ca_system_score_codex":0.000022151327,"about_ca_system_score_gemma":0.000031283886,"threshold_uncertainty_score":0.9993235},"labels":[],"label_agreement":null},{"id":"W3155314686","doi":"10.1016/j.aim.2023.109101","title":"Monge solutions and uniqueness in multi-marginal optimal transport via graph theory","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Uniqueness; Mathematics; Graph; Combinatorics; Discrete mathematics; Mathematical analysis","score_opus":0.043023617176279866,"score_gpt":0.32371894915091115,"score_spread":0.28069533197463126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3155314686","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58498806,0.002145783,0.4105371,0.000092707065,0.00011456164,0.00047604175,0.000018702876,0.00017356296,0.0014535086],"genre_scores_gemma":[0.8914826,0.0020758344,0.105642095,0.000021151262,0.000020904827,0.00011115145,0.00001769827,0.000044061653,0.0005845185],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983541,0.00008947149,0.00057127455,0.00028811418,0.0002702169,0.00042682097],"domain_scores_gemma":[0.99864703,0.0007704139,0.00014337014,0.00032451635,0.000048877147,0.0000658083],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016430528,0.0002226196,0.0004825767,0.0006802193,0.00008265574,0.000017970131,0.00022183223,0.00010755251,0.000043348435],"category_scores_gemma":[0.00030540116,0.00019371518,0.00009713099,0.002202211,0.00012425185,0.0003384822,0.000055356122,0.0002665337,0.000014581926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000081844766,0.0025871268,0.025777675,0.0028703553,0.00020629817,0.00039017005,0.015810225,0.021658137,0.00038955727,0.89830524,0.00013232203,0.03179104],"study_design_scores_gemma":[0.0009520778,0.000039285027,0.011884715,0.0002689472,0.000098666096,0.000019164421,0.0035826752,0.054013398,0.000060587343,0.9280888,0.0005506592,0.00044106346],"about_ca_topic_score_codex":0.0000087718645,"about_ca_topic_score_gemma":0.0003296441,"teacher_disagreement_score":0.30649453,"about_ca_system_score_codex":0.000035942827,"about_ca_system_score_gemma":0.000019965457,"threshold_uncertainty_score":0.7899476},"labels":[],"label_agreement":null},{"id":"W3156033729","doi":"10.1007/s12220-021-00674-5","title":"Bounded Diameter Under Mean Curvature Flow","year":2021,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Mean curvature flow; Bounded function; Sectional curvature; Gravitational singularity; Regular polygon; Curvature; Conical surface; Conjecture; Mean curvature; Mathematical analysis; Scalar curvature; Pure mathematics; Geometry","score_opus":0.03324801937817534,"score_gpt":0.29574574370326767,"score_spread":0.26249772432509233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3156033729","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25631368,0.008327422,0.73016036,0.0013514392,0.00055378646,0.00008434281,0.000020914798,0.000037361235,0.0031507062],"genre_scores_gemma":[0.92432505,0.0005116318,0.06909423,0.0004590368,0.00050510897,0.0000017682563,0.000022385388,0.000038566774,0.0050422135],"study_design_codex":"meta_analysis","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99567103,0.00029047372,0.0014713343,0.0003861302,0.0017012125,0.0004798434],"domain_scores_gemma":[0.99424714,0.0012342534,0.0013649152,0.0007647518,0.002041538,0.0003474131],"candidate_categories":["metaepi_narrow","bibliometrics","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0020352588,0.0003444051,0.0016907793,0.0066011907,0.0001619129,0.00029553619,0.0005312393,0.00028560736,0.0033336019],"category_scores_gemma":[0.003399354,0.00025934112,0.0027627647,0.042708952,0.00005719068,0.0003945928,0.00011723225,0.0007797391,0.000034289955],"study_design_candidate":"meta_analysis","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039934617,0.009843003,0.17187609,0.0006178563,0.3343512,0.004326677,0.0040137484,0.039400563,0.001386927,0.028336298,0.278885,0.12656325],"study_design_scores_gemma":[0.011546031,0.001494561,0.18701477,0.0003627418,0.28860283,0.0019240929,0.016094629,0.03107578,0.0049363296,0.30865818,0.14263117,0.0056588757],"about_ca_topic_score_codex":0.000016546257,"about_ca_topic_score_gemma":0.00012090334,"teacher_disagreement_score":0.66801137,"about_ca_system_score_codex":0.00019815072,"about_ca_system_score_gemma":0.0002189063,"threshold_uncertainty_score":0.9999859},"labels":[],"label_agreement":null},{"id":"W3158262904","doi":"10.48550/arxiv.1906.00030","title":"Pseudo-Riemannian geometry embeds information geometry in optimal transport","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Information geometry; Geometry; Riemannian geometry; Fundamental theorem of Riemannian geometry; Mathematics; Computer science; Ricci curvature; Scalar curvature","score_opus":0.051327036504567464,"score_gpt":0.20404459487463503,"score_spread":0.15271755837006756,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3158262904","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9015581,0.00006773562,0.09066882,0.000042294494,0.00045440567,0.0005501526,0.00008349146,0.0001408837,0.006434123],"genre_scores_gemma":[0.9947507,0.00017173585,0.0015043598,0.00008924538,0.00009083878,0.000002549264,0.00027665048,0.000042277177,0.003071645],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99733055,0.000107415006,0.0007765955,0.0008298964,0.00032056228,0.00063496706],"domain_scores_gemma":[0.9972502,0.00022162589,0.0006696333,0.0013600384,0.00028403942,0.00021444856],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000870743,0.00059897185,0.0010631129,0.0029592377,0.00009493587,0.000098993456,0.0010562657,0.0009901901,0.00063640665],"category_scores_gemma":[0.00020714532,0.0006598417,0.00065108057,0.003945882,0.00008618936,0.000917166,0.0004833352,0.0015022856,0.00039245526],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028831814,0.0007969181,0.17521174,0.0021257284,0.0010641807,0.00043137372,0.001835984,0.73516655,0.000008003778,0.07873384,0.0032869575,0.0010504295],"study_design_scores_gemma":[0.009553474,0.00053220394,0.18985692,0.001692905,0.0041676834,0.000048853963,0.010365061,0.6552896,0.00014022113,0.102761626,0.018255632,0.0073358375],"about_ca_topic_score_codex":0.0002528228,"about_ca_topic_score_gemma":0.00010613861,"teacher_disagreement_score":0.09319261,"about_ca_system_score_codex":0.0003884657,"about_ca_system_score_gemma":0.0002377972,"threshold_uncertainty_score":0.9995853},"labels":[],"label_agreement":null},{"id":"W3158683342","doi":"10.1007/s00222-022-01148-3","title":"On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions","year":2022,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Canada Research Chairs; Japan Society for the Promotion of Science; Research Institute for Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Division of Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Infimum and supremum; Harnack's inequality; Hausdorff dimension; Conformal map; Dimension (graph theory); Harnack's principle; Mathematical analysis; Combinatorics; Pure mathematics","score_opus":0.06170994960427008,"score_gpt":0.29295211073429156,"score_spread":0.2312421611300215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3158683342","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66666067,0.00039744505,0.2903183,0.0056640166,0.0012282224,0.0044147167,0.00015732026,0.0004139635,0.030745378],"genre_scores_gemma":[0.98892784,0.00000989062,0.003718796,0.0005153056,0.000076223485,0.0008358426,0.00007281349,0.000043357966,0.005799946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99758536,0.0001669033,0.00070963136,0.00028602334,0.0008982741,0.00035380595],"domain_scores_gemma":[0.9954068,0.0032028256,0.0004731929,0.0006355433,0.00019435049,0.000087252825],"candidate_categories":["sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001814266,0.00023868057,0.0004023607,0.00093816296,0.0013245728,0.000093276285,0.00045139325,0.00006795027,0.0027313507],"category_scores_gemma":[0.0030397344,0.00015768352,0.00045732837,0.0040575117,0.000048405902,0.00012918763,0.00021453689,0.00027558723,0.00010856287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019786932,0.00063719,0.000023780236,0.00008867165,0.000110428824,0.0000011629905,0.00023596986,0.00009913263,0.00001875263,0.9779323,0.019799348,0.0010335167],"study_design_scores_gemma":[0.00079128623,0.00030043954,0.00015402884,0.00003775197,0.00032306078,0.000020771247,0.0019823024,0.027321508,0.000088227236,0.9608064,0.00788095,0.0002932281],"about_ca_topic_score_codex":0.0000036225829,"about_ca_topic_score_gemma":0.0000025784896,"teacher_disagreement_score":0.32226717,"about_ca_system_score_codex":0.00011397451,"about_ca_system_score_gemma":0.00003515353,"threshold_uncertainty_score":0.99997556},"labels":[],"label_agreement":null},{"id":"W3159404935","doi":"10.28924/2291-8639-19-2021-165","title":"∗−Conformal η−Ricci Solitons on α−Cosymplectic Manifolds","year":2021,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Conformal map; Mathematics; Manifold (fluid mechanics); Ricci curvature; Einstein manifold; Curvature of Riemannian manifolds; Einstein; Pure mathematics; Ricci-flat manifold; Mathematical physics; Soliton; Curvature; Mathematical analysis; Physics; Scalar curvature; Sectional curvature; Geometry; Quantum mechanics; Nonlinear system","score_opus":0.020481949725836016,"score_gpt":0.32542286884798316,"score_spread":0.30494091912214716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3159404935","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37422723,0.0009857743,0.5936591,0.006284458,0.0003323233,0.0001774898,0.000068108355,0.000034819932,0.024230724],"genre_scores_gemma":[0.99421716,0.00027315112,0.00394876,0.0002790601,0.00040830753,0.000008657696,0.00002177518,0.000007458226,0.0008356594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.998573,0.00003817924,0.00057233556,0.00015285528,0.00054690114,0.000116725794],"domain_scores_gemma":[0.99794585,0.00028352792,0.00044561425,0.00020239459,0.0010176235,0.00010496608],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034824054,0.000110151705,0.0003333752,0.00070334424,0.00009096954,0.00015473044,0.00026742683,0.00005493883,0.0004339345],"category_scores_gemma":[0.00017470885,0.00008753196,0.00045309262,0.0013415515,0.000024931824,0.00013450056,0.000050828017,0.00017657816,0.000012287491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006373732,0.0017277827,0.01948197,0.000027012726,0.021913115,0.0001313092,0.00043092252,0.0010695432,0.0013326356,0.8767881,0.006854657,0.07017926],"study_design_scores_gemma":[0.0037527354,0.00045819217,0.1291908,0.0001477298,0.022136878,0.0013199121,0.004337442,0.008511857,0.008505971,0.386491,0.43372154,0.0014259572],"about_ca_topic_score_codex":0.000009099408,"about_ca_topic_score_gemma":0.000049426515,"teacher_disagreement_score":0.61998993,"about_ca_system_score_codex":0.000047229052,"about_ca_system_score_gemma":0.00006864619,"threshold_uncertainty_score":0.47512785},"labels":[],"label_agreement":null},{"id":"W3162260223","doi":"10.48550/arxiv.2007.10980","title":"Independence of synthetic Curvature Dimension conditions on transport\\n distance exponent","year":2020,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Exponent; Curvature; Dimension (graph theory); Independence (probability theory); Mathematical analysis; Geometry; Pure mathematics; Statistics","score_opus":0.07781398199486231,"score_gpt":0.19937496669192994,"score_spread":0.12156098469706764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3162260223","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95416164,0.00003936058,0.0434603,0.00030587462,0.000051934265,0.00014977471,0.000037669026,0.0000608338,0.0017326121],"genre_scores_gemma":[0.99919844,0.000034555134,0.000106675936,0.000121692414,0.000020907073,4.020758e-7,0.000013699951,0.00001294137,0.0004907001],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990338,0.000053679065,0.00019480314,0.00038626906,0.0001598327,0.00017161643],"domain_scores_gemma":[0.99905485,0.00017563892,0.00017689807,0.00034255348,0.000109967135,0.00014011767],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010474339,0.00015761853,0.00029817777,0.0001143793,0.00008245289,0.0000060870234,0.00025700894,0.00011914466,0.00028109425],"category_scores_gemma":[0.00011795658,0.0001495949,0.00019280036,0.0011462399,0.000076710996,0.00012701789,0.000029617146,0.000255594,0.000038930375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023789199,0.0005850451,0.013416717,0.00019134322,0.00025603524,0.00028611647,0.00085719826,0.019419473,0.0013829182,0.96161497,0.0016574957,0.00009482802],"study_design_scores_gemma":[0.011459489,0.0033068382,0.114813976,0.0020015095,0.0068394677,0.000028600809,0.011813051,0.15992709,0.022980196,0.6473434,0.0141333025,0.0053530736],"about_ca_topic_score_codex":0.00001050503,"about_ca_topic_score_gemma":0.000019310895,"teacher_disagreement_score":0.31427154,"about_ca_system_score_codex":0.00003392724,"about_ca_system_score_gemma":0.000025227762,"threshold_uncertainty_score":0.6100303},"labels":[],"label_agreement":null},{"id":"W3163725645","doi":"10.2140/gt.2023.27.1635","title":"Classifying sufficiently connected PSC manifoldsin 4 and 5 dimensions","year":2023,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Scalar curvature; Mathematics; Prescribed scalar curvature problem; Manifold (fluid mechanics); Metric (unit); Cover (algebra); Homotopy; Curvature; Dimension (graph theory); Covering space; Riemannian manifold; Combinatorics; Scalar (mathematics); Closed manifold; Pure mathematics; Sectional curvature; Geometry; Invariant manifold","score_opus":0.055334217614559145,"score_gpt":0.3208154158164561,"score_spread":0.265481198201897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3163725645","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9938346,0.00044992677,0.0010559494,0.0013214429,0.0005262373,0.00017165883,0.000012425315,0.0002983098,0.002329443],"genre_scores_gemma":[0.99556065,0.000112457565,0.001234103,0.00022798017,0.000114494986,0.000019405856,0.000031857657,0.000027019825,0.0026720413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9983009,0.000108072236,0.00036727247,0.00042868717,0.00024154551,0.00055350346],"domain_scores_gemma":[0.99792576,0.0012966201,0.0001290737,0.00040759912,0.00010141463,0.00013955084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005957184,0.00019982454,0.00046290504,0.0011446989,0.00025711808,0.000045891895,0.00017744917,0.00023224262,0.00085065665],"category_scores_gemma":[0.0015809329,0.0001725841,0.00011593743,0.003777638,0.00013879284,0.00006637275,0.00022271804,0.00026004075,0.00034142967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007116254,0.00069063454,0.0715111,0.0003053082,0.0010302446,0.0004849964,0.0017690171,0.000105845436,0.0076906765,0.7695577,0.133208,0.013575306],"study_design_scores_gemma":[0.0059074904,0.0013361044,0.3539276,0.00017330513,0.0019449287,0.00075055106,0.017964315,0.015361368,0.002043877,0.32083094,0.27645606,0.00330346],"about_ca_topic_score_codex":0.00005697772,"about_ca_topic_score_gemma":0.000079400634,"teacher_disagreement_score":0.44872677,"about_ca_system_score_codex":0.00002971361,"about_ca_system_score_gemma":0.000025227386,"threshold_uncertainty_score":0.93140936},"labels":[],"label_agreement":null},{"id":"W3165724006","doi":"10.48550/arxiv.2105.10485","title":"Lectures on mean curvature flow of surfaces","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mean curvature flow; Curvature; Flow (mathematics); Mean curvature; Geometry; Geology; Mathematics","score_opus":0.09862602071645546,"score_gpt":0.21098632016460997,"score_spread":0.11236029944815451,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3165724006","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9778994,0.0005345491,0.014712034,0.00006460874,0.0004297042,0.00022912832,0.000054070577,0.00009267361,0.0059838877],"genre_scores_gemma":[0.9949976,0.00025769355,0.001617997,0.000055331235,0.000091113936,4.2920746e-7,0.00007680498,0.000035739435,0.0028672952],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980789,0.00020532594,0.00032103944,0.00086690945,0.00022422768,0.00030360618],"domain_scores_gemma":[0.997393,0.00040128868,0.00048051705,0.0012199129,0.00038089344,0.00012438127],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033338793,0.00042628954,0.0008856781,0.00043822263,0.00008960488,0.00006508594,0.0007233929,0.00063364423,0.0005373575],"category_scores_gemma":[0.00033974738,0.00040598388,0.0006770388,0.0013499596,0.00008920807,0.00008710807,0.00053145096,0.0010057634,0.000015912916],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023087785,0.0013935255,0.006421594,0.0015822198,0.003894959,0.0006996077,0.0024157844,0.83446133,0.00025150305,0.1323161,0.0153154675,0.0010170396],"study_design_scores_gemma":[0.004043319,0.0006952342,0.010034505,0.003054543,0.00920252,0.000018684419,0.007419209,0.35187474,0.007916101,0.5927001,0.0077024642,0.0053385305],"about_ca_topic_score_codex":0.00010939916,"about_ca_topic_score_gemma":0.00036686542,"teacher_disagreement_score":0.4825866,"about_ca_system_score_codex":0.000102348706,"about_ca_system_score_gemma":0.0001485991,"threshold_uncertainty_score":0.9998392},"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,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; 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","score_opus":0.02614424983202427,"score_gpt":0.22594884888543482,"score_spread":0.19980459905341055,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3168339442","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8785411,0.0026461654,0.11642503,0.00030071483,0.00011934421,0.0001381592,0.000055004068,0.00006252636,0.0017119354],"genre_scores_gemma":[0.99413675,0.000104641076,0.0018081011,0.00005923291,0.000067077155,0.000034695287,0.00008726897,0.000017572784,0.0036846464],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9977972,0.00006575931,0.0004181865,0.0004588042,0.0010160161,0.00024403472],"domain_scores_gemma":[0.9983925,0.0006792262,0.0002765876,0.0003111099,0.00023666205,0.000103878934],"candidate_categories":["bibliometrics","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00078480726,0.00021921739,0.0006661843,0.004411439,0.00030624674,0.00005689674,0.00012063302,0.000056500543,0.002101423],"category_scores_gemma":[0.0001830737,0.0001531154,0.0003994818,0.021068305,0.00007111914,0.0001012523,0.00018801523,0.00026103825,0.000012438113],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012545786,0.0034320746,0.6583751,0.00066525425,0.05968186,0.00012807667,0.0019090842,0.07342973,0.00083881663,0.05593335,0.11958046,0.024771642],"study_design_scores_gemma":[0.004913733,0.0036506483,0.668182,0.00008684007,0.06645679,0.00022269187,0.025023691,0.111862436,0.00054477475,0.03908393,0.07674336,0.003229084],"about_ca_topic_score_codex":0.000235682,"about_ca_topic_score_gemma":0.00004325374,"teacher_disagreement_score":0.11559564,"about_ca_system_score_codex":0.00005351889,"about_ca_system_score_gemma":0.000039571434,"threshold_uncertainty_score":0.99973935},"labels":[],"label_agreement":null},{"id":"W3169419792","doi":"10.30931/jetas.910481","title":"Riemannian Submersions with Quarter- Symmetric Non-Metric Connection","year":2021,"lang":"en","type":"article","venue":"Journal of Engineering Technology and Applied Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Fundamental theorem of Riemannian geometry; Levi-Civita connection; Connection (principal bundle); Mathematics; Pseudo-Riemannian manifold; Manifold (fluid mechanics); Pure mathematics; Metric connection; Riemannian manifold; Metric (unit); Mathematical analysis; Metric tensor; Quarter (Canadian coin); Ricci curvature; Geometry; Geodesic; Curvature","score_opus":0.010016086938135615,"score_gpt":0.22750711287373154,"score_spread":0.21749102593559594,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3169419792","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93281245,0.00070242793,0.064827204,0.00064495835,0.00010131705,0.00003917674,3.5785516e-7,0.000031974352,0.000840152],"genre_scores_gemma":[0.9674721,0.000044763634,0.0324012,0.000012290627,0.000036975533,0.0000020248465,1.3449625e-7,0.000004594534,0.0000259557],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921006,0.0000056942213,0.00024159519,0.00014091862,0.00022925039,0.00017246371],"domain_scores_gemma":[0.99934506,0.00019308415,0.00018375256,0.000102790225,0.00012086371,0.000054474443],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005176379,0.000097223,0.00027173603,0.002218665,0.00014046759,0.00004478928,0.00016354572,0.000107148735,0.000012307024],"category_scores_gemma":[0.00035526938,0.00006685741,0.00004520762,0.008531881,0.0000994072,0.00009320592,0.00003085597,0.00028192624,0.0000010698685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048479073,0.00068218255,0.016295219,0.00025612803,0.00078776205,0.00027669652,0.0005056315,0.010435254,0.028306874,0.9136366,0.00256388,0.026205238],"study_design_scores_gemma":[0.015483468,0.011700896,0.11326281,0.0021221316,0.005045845,0.016349193,0.08133003,0.07144909,0.23990314,0.401178,0.036035504,0.006139892],"about_ca_topic_score_codex":3.3585232e-7,"about_ca_topic_score_gemma":0.0000013218903,"teacher_disagreement_score":0.5124587,"about_ca_system_score_codex":0.000015299578,"about_ca_system_score_gemma":0.000044570126,"threshold_uncertainty_score":0.40992856},"labels":[],"label_agreement":null},{"id":"W3171542387","doi":"","title":"On Generalized Ø-recurrent Kenmotsu Manifolds with respect to Quarter-symmetric Metric Connection","year":2018,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Quarter (Canadian coin); Mathematics; Connection (principal bundle); Metric (unit); Pure mathematics; Manifold (fluid mechanics); Topology (electrical circuits); Combinatorics; Geometry; Curvature; Fundamental theorem of Riemannian geometry; Geography; Scalar curvature; Engineering","score_opus":0.0331883920997528,"score_gpt":0.2964659528238487,"score_spread":0.2632775607240959,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3171542387","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7903943,0.00018132996,0.11310988,0.00076662283,0.00061663147,0.00072994584,0.0000077674795,0.00031676426,0.093876764],"genre_scores_gemma":[0.97997713,0.0000118177095,0.0140002435,0.00050586526,0.00040400747,0.00003977594,0.000007297585,0.0000378137,0.005016022],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9976984,0.0001228882,0.00043031314,0.0005550694,0.00076261646,0.00043070564],"domain_scores_gemma":[0.99809164,0.00047974565,0.00016974327,0.00064563594,0.0003859545,0.00022727372],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00067181105,0.00030648155,0.00049090397,0.0025571736,0.00017988968,0.00013536759,0.00026005477,0.000118202726,0.0021183365],"category_scores_gemma":[0.00072231237,0.00020107487,0.00017290721,0.009645178,0.000028833947,0.00009801308,0.000046026817,0.00016702975,0.0008918689],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00086347305,0.0013661041,0.0009224456,0.00006320181,0.0007282055,0.00002458551,0.00058156525,0.00004048832,0.00023826468,0.587344,0.37470213,0.033125516],"study_design_scores_gemma":[0.02763837,0.08627872,0.04598505,0.0007530192,0.005248429,0.0003355608,0.006011846,0.02637472,0.032888144,0.31291163,0.44549146,0.01008303],"about_ca_topic_score_codex":0.00012014241,"about_ca_topic_score_gemma":0.00042789232,"teacher_disagreement_score":0.27443236,"about_ca_system_score_codex":0.00014926921,"about_ca_system_score_gemma":0.000030789673,"threshold_uncertainty_score":0.99988604},"labels":[],"label_agreement":null},{"id":"W3175755699","doi":"10.1515/agms-2020-0122","title":"Remarks on Manifolds with Two-Sided Curvature Bounds","year":2021,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Curvature; Pure mathematics; Sectional curvature; Scalar curvature; Geometry","score_opus":0.22431236554591943,"score_gpt":0.5446067175156216,"score_spread":0.3202943519697022,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3175755699","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8732724,0.020991666,0.0028998754,0.0010083684,0.00091422006,0.0007238365,0.00006534743,0.00012173094,0.10000251],"genre_scores_gemma":[0.9862342,0.002689141,0.0034034057,0.00092850096,0.00042958642,0.000036557514,0.000046529043,0.00012287212,0.0061091995],"study_design_codex":"not_applicable","study_design_gemma":"observational","domain_scores_codex":[0.9954795,0.0004173769,0.0011098216,0.0007624549,0.0016300369,0.0006008145],"domain_scores_gemma":[0.9950925,0.0010513708,0.0012207252,0.0012734577,0.0009903297,0.0003715976],"candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017797048,0.00055944175,0.0014774165,0.0010501827,0.00036618518,0.002274002,0.0023073622,0.00025444647,0.019532282],"category_scores_gemma":[0.0015686593,0.00042253395,0.00046012562,0.004177949,0.00010319908,0.001473671,0.00072066864,0.001031862,0.00003516695],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000917033,0.002752164,0.22884828,0.0005279751,0.0042048763,0.0016965902,0.00056688377,0.0004650975,0.024932956,0.021088265,0.69725436,0.016745502],"study_design_scores_gemma":[0.006474374,0.00016295484,0.5185004,0.005117815,0.0033226088,0.00051973027,0.0012255372,0.0004435611,0.05330632,0.25702408,0.15015024,0.0037524055],"about_ca_topic_score_codex":0.00020557307,"about_ca_topic_score_gemma":0.00035238996,"teacher_disagreement_score":0.5471041,"about_ca_system_score_codex":0.00013996135,"about_ca_system_score_gemma":0.00030224805,"threshold_uncertainty_score":0.9998227},"labels":[],"label_agreement":null},{"id":"W3179425264","doi":"10.1090/tran/8510","title":"Existence of curves with constant geodesic curvature in a Riemannian 2-sphere","year":2021,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Geodesic; Constant curvature; Curvature; Constant (computer programming); Sectional curvature; Mathematical analysis; Geodesic map; Scalar curvature; Ricci curvature; Geometry; Pure mathematics","score_opus":0.021759274100834215,"score_gpt":0.27527712086059375,"score_spread":0.2535178467597595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3179425264","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6691907,0.0014285719,0.32023683,0.0033063795,0.00004252812,0.0006071879,0.00007616469,0.000059874925,0.005051721],"genre_scores_gemma":[0.90190476,0.00024705828,0.09699001,0.00020811403,0.0000073756096,0.000022480172,0.0000013827006,0.000021609432,0.00059722725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983267,0.00013439667,0.0005524731,0.00023034097,0.0005183686,0.00023773157],"domain_scores_gemma":[0.9979351,0.0006763403,0.0004390936,0.00066133495,0.00022599958,0.000062102285],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040018748,0.0001837471,0.00078540266,0.000029779148,0.0000700854,0.000011020654,0.0003178296,0.000058848636,0.00036812943],"category_scores_gemma":[0.00021397306,0.00011295318,0.00055753195,0.0025408892,0.000766573,0.00007570919,0.000020440186,0.0003604125,0.000001982181],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009698292,0.03607777,0.03464275,0.062094446,0.017608522,0.00013491313,0.056722917,0.004031967,0.025959602,0.7026526,0.022611355,0.036493372],"study_design_scores_gemma":[0.005821172,0.0013459787,0.022361644,0.017888082,0.007755623,0.00047417797,0.09583809,0.014708306,0.031899855,0.7975063,0.0014595501,0.002941226],"about_ca_topic_score_codex":0.00005077423,"about_ca_topic_score_gemma":0.000090127454,"teacher_disagreement_score":0.23271401,"about_ca_system_score_codex":0.0000396768,"about_ca_system_score_gemma":0.00015177569,"threshold_uncertainty_score":0.4606097},"labels":[],"label_agreement":null},{"id":"W3186527427","doi":"10.4153/s0008439524000237","title":"Existence of singular rotationally symmetric gradient Ricci solitons in higher dimensions","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Order (exchange); Singular point of a curve; Lambda; Function (biology); Mathematical analysis; Mathematical physics; Physics; Quantum mechanics","score_opus":0.045300761724271374,"score_gpt":0.2752112380205758,"score_spread":0.2299104762963044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3186527427","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72254366,0.006165166,0.0075982013,0.023250427,0.00092708506,0.001518751,0.00011701156,0.00025619823,0.23762351],"genre_scores_gemma":[0.9812302,0.000014407546,0.013205596,0.00020711993,0.000064720116,0.000041643725,0.00001163398,0.00003762235,0.005187057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99801224,0.00007694777,0.0006627862,0.00034146616,0.00043805694,0.00046847994],"domain_scores_gemma":[0.9978159,0.0012119696,0.00007596564,0.00037536523,0.00012122998,0.00039954417],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00067706744,0.00021031291,0.00047609393,0.0012483939,0.000062979336,0.000072158495,0.00024594466,0.00014375692,0.009871571],"category_scores_gemma":[0.0015149537,0.0001747915,0.00021627166,0.0023570573,0.00009074281,0.00003751047,0.00003678445,0.00027801632,0.0015564893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000012264983,0.00011053638,0.000081939375,0.00032098856,0.00006648328,0.00012888628,0.00022564003,0.000008802841,0.00002695079,0.98659885,0.011934955,0.0004947302],"study_design_scores_gemma":[0.00027405337,0.000069309586,0.0019974648,0.00080870313,0.00023178472,0.000037697373,0.00028947162,0.0034214552,0.00006674822,0.90826744,0.08406653,0.0004693434],"about_ca_topic_score_codex":0.00070700195,"about_ca_topic_score_gemma":0.00078020035,"teacher_disagreement_score":0.25868654,"about_ca_system_score_codex":0.00023824272,"about_ca_system_score_gemma":0.00024356598,"threshold_uncertainty_score":0.9992209},"labels":[],"label_agreement":null},{"id":"W3186767008","doi":"10.82308/27266","title":"Intersections of closed geodesics on Shimura curves","year":2021,"lang":"en","type":"article","venue":"eScholarship@McGill (McGill)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; McGill University","keywords":"Geodesic; Geology; Geodesy; Mathematics; Geometry","score_opus":0.04242770948526231,"score_gpt":0.27533726019305077,"score_spread":0.23290955070778846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3186767008","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91963065,0.00033206138,0.000014320674,0.00012271521,0.00046578163,0.00023378518,0.0003381444,0.00015382741,0.07870872],"genre_scores_gemma":[0.9939135,0.00029179946,0.002085783,0.00064441847,0.0000381207,0.000027781074,0.00005241794,0.000072185314,0.0028740228],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968513,0.00036370038,0.0008714065,0.0006397786,0.0008000231,0.00047374752],"domain_scores_gemma":[0.9969679,0.0007327842,0.00041391127,0.0010173216,0.000650253,0.00021778965],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009708136,0.0003884559,0.0007521306,0.00037545591,0.00042123944,0.00004329897,0.00042415544,0.0002677284,0.0010253289],"category_scores_gemma":[0.003615574,0.00036787963,0.0005939005,0.0021882013,0.00007279593,0.00035341634,0.00019570126,0.0008548623,0.00014714929],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007774967,0.0017553596,0.0002289838,0.00080583134,0.0010169508,0.00012951081,0.0000178092,0.00008023633,0.03751109,0.9058458,0.00046726267,0.0520634],"study_design_scores_gemma":[0.003382332,0.0008029664,0.004525475,0.0026742336,0.001967722,0.00017296048,0.0015517321,0.00027250827,0.30757174,0.5528447,0.12186222,0.002371428],"about_ca_topic_score_codex":0.0000517421,"about_ca_topic_score_gemma":0.00027994887,"teacher_disagreement_score":0.35300112,"about_ca_system_score_codex":0.00021135849,"about_ca_system_score_gemma":0.000041303825,"threshold_uncertainty_score":0.9998879},"labels":[],"label_agreement":null},{"id":"W3189866561","doi":"10.4171/jems/1565","title":"Ricci limit flows and weak solutions","year":2024,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Limit (mathematics); Ricci flow; Mathematics; Mathematical analysis; Ricci curvature; Geometry; Curvature","score_opus":0.043879886187370695,"score_gpt":0.27396512343944207,"score_spread":0.23008523725207136,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3189866561","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35096872,0.014878008,0.3919323,0.02761524,0.0024616008,0.00073236966,0.000025399218,0.000334758,0.2110516],"genre_scores_gemma":[0.93338203,0.00041771136,0.056614887,0.00029706024,0.0013538703,0.0000015970344,4.1347667e-7,0.00008752287,0.007844876],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982897,0.00025065924,0.0006148908,0.00013089065,0.00048617306,0.00022770453],"domain_scores_gemma":[0.99858385,0.00069816003,0.00020991037,0.00027172384,0.000111059024,0.00012529705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031562306,0.00015438137,0.0003279622,0.000051964114,0.00019784473,0.00021697849,0.0003708613,0.000054764558,0.00018211572],"category_scores_gemma":[0.0009176852,0.00007951924,0.00086886476,0.00058031554,0.00008910791,0.00015133768,0.00023071752,0.00058022724,0.000080831494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008401762,0.0005908069,0.00009303836,0.0011091087,0.0019490726,0.000059002185,0.00572576,0.000056362118,0.0012605106,0.32854939,0.64415354,0.016445018],"study_design_scores_gemma":[0.00062841555,0.00013371481,0.001450224,0.0012125197,0.0020849407,0.0010381322,0.0023452153,0.025654687,0.00005784394,0.8485193,0.11641631,0.00045869744],"about_ca_topic_score_codex":2.5670747e-7,"about_ca_topic_score_gemma":4.0818313e-7,"teacher_disagreement_score":0.5824134,"about_ca_system_score_codex":0.00004773262,"about_ca_system_score_gemma":0.000034127825,"threshold_uncertainty_score":0.32427004},"labels":[],"label_agreement":null},{"id":"W3189884534","doi":"10.1016/j.aim.2023.109059","title":"Regularity of Hamiltonian stationary equations in symplectic manifolds","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Symplectic geometry; Submanifold; Symplectic manifold; Hamiltonian (control theory); Lagrangian; Symplectomorphism; Nonlinear system; Mathematical analysis; Pure mathematics; Manifold (fluid mechanics); Hamiltonian system; Order (exchange); Hamiltonian mechanics; Phase space; Mathematical optimization","score_opus":0.041563774052821176,"score_gpt":0.34735538758413,"score_spread":0.3057916135313088,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3189884534","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87815475,0.001756924,0.09693099,0.0004944682,0.00029874305,0.0010509719,0.000048318037,0.00024528962,0.02101955],"genre_scores_gemma":[0.9473962,0.0003916167,0.05128672,0.000014378811,0.000019602554,0.000053454576,0.000022975473,0.000024969077,0.00079008966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983404,0.00006719009,0.0007418832,0.00019544689,0.00040042104,0.00025462444],"domain_scores_gemma":[0.99761975,0.0016188471,0.0002599706,0.0003814436,0.00008729368,0.00003268422],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010324997,0.00013903383,0.00040964576,0.00075322215,0.00003873619,0.000013708218,0.0002214239,0.00008231928,0.00010855357],"category_scores_gemma":[0.0019067508,0.0001298328,0.00008208628,0.0034452975,0.000049046565,0.00028240104,0.000061624225,0.00015606834,0.000033130713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000065621216,0.0006454431,0.008701625,0.0011278724,0.000039422535,0.000027180316,0.0033789948,0.003911387,0.00010993226,0.97723824,0.0002611067,0.004552222],"study_design_scores_gemma":[0.00030276435,0.000025056475,0.006961772,0.00016841869,0.000028868792,0.000002233473,0.0017545971,0.027745416,0.00005369055,0.96250534,0.00030733243,0.0001445306],"about_ca_topic_score_codex":0.000010436131,"about_ca_topic_score_gemma":0.00054500985,"teacher_disagreement_score":0.06924145,"about_ca_system_score_codex":0.00006679325,"about_ca_system_score_gemma":0.00003984632,"threshold_uncertainty_score":0.5294428},"labels":[],"label_agreement":null},{"id":"W3192083867","doi":"10.1142/s0129167x23500246","title":"Convergence and Riemannian bounds on Lagrangian submanifolds","year":2023,"lang":"en","type":"preprint","venue":"International Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Submanifold; Pure mathematics; Metric (unit); Symplectic geometry; Lagrangian; Mathematical analysis","score_opus":0.0765296981791336,"score_gpt":0.3484574356483402,"score_spread":0.2719277374692066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3192083867","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94299906,0.0007161916,0.037620224,0.0060650995,0.0081424415,0.000452388,0.00013915582,0.00013062198,0.003734811],"genre_scores_gemma":[0.9650893,0.00084714487,0.029336441,0.00019897628,0.0012933881,0.000009140077,0.000018534125,0.00009582929,0.0031111992],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966572,0.00006592123,0.0012532163,0.0002534245,0.0015571817,0.00021305056],"domain_scores_gemma":[0.99585825,0.0008282174,0.0017457708,0.00038134985,0.0010329771,0.00015343596],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0016049037,0.0003360132,0.00076287385,0.00087654096,0.00005338827,0.0003112617,0.0010425032,0.00030011722,0.00017440894],"category_scores_gemma":[0.0016733065,0.00026820548,0.0004661354,0.0002337366,0.00007321089,0.0001138938,0.00043921586,0.0008456992,0.000060893075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033846445,0.0049450225,0.0076316963,0.0042357594,0.018630147,0.0034230063,0.018528396,0.0015914008,0.0004087134,0.7293643,0.20150527,0.009397849],"study_design_scores_gemma":[0.0009761104,0.00021876117,0.0019531153,0.002309942,0.00077572564,0.00037596334,0.0015741615,0.0037816884,0.00021868102,0.9814013,0.005800385,0.00061414414],"about_ca_topic_score_codex":0.000014071259,"about_ca_topic_score_gemma":0.000027094187,"teacher_disagreement_score":0.25203705,"about_ca_system_score_codex":0.00012750327,"about_ca_system_score_gemma":0.0001232463,"threshold_uncertainty_score":0.999977},"labels":[],"label_agreement":null},{"id":"W3194068170","doi":"10.1007/s41884-021-00053-7","title":"Pseudo-Riemannian geometry encodes information geometry in optimal transport","year":2021,"lang":"en","type":"article","venue":"Information Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; University of Southern California; Connaught Fund; National Science Foundation","keywords":"Information geometry; Mathematics; Geodesic; Statistical manifold; Geometry; Riemannian geometry; Differential geometry; Constant curvature; Geometric flow; Curvature; Parallel transport; Divergence (linguistics); Convex geometry; Scalar curvature; Regular polygon","score_opus":0.014256324354916153,"score_gpt":0.25677351463443643,"score_spread":0.2425171902795203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3194068170","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9186361,0.00026825065,0.0634358,0.000440893,0.0005554499,0.0004320663,0.00014971787,0.00026051947,0.01582123],"genre_scores_gemma":[0.9786388,0.0001574998,0.018131942,0.0011261324,0.00014709297,0.00006581883,0.0011166724,0.000031029078,0.0005849849],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9951424,0.00009424114,0.0021170524,0.0003252784,0.0014702838,0.0008507635],"domain_scores_gemma":[0.9968656,0.00039208055,0.00079870893,0.0008890858,0.0007628812,0.0002916669],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0017371253,0.0005242684,0.00086670625,0.0044436026,0.00023508776,0.00031384313,0.00054720737,0.0005563861,0.0020582965],"category_scores_gemma":[0.0019317607,0.000519884,0.00043528166,0.011145798,0.00008405632,0.008162762,0.00014952917,0.0008239105,0.00085100665],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006410738,0.002996986,0.43684387,0.0069117346,0.002317216,0.0003536894,0.03028088,0.03464978,0.0004073543,0.13665596,0.06833769,0.27960378],"study_design_scores_gemma":[0.010719782,0.00049474026,0.47884443,0.0008045979,0.00084780366,0.0006250017,0.04361499,0.025554525,0.005772065,0.011495541,0.41607982,0.0051467195],"about_ca_topic_score_codex":0.00007115927,"about_ca_topic_score_gemma":0.000050126942,"teacher_disagreement_score":0.3477421,"about_ca_system_score_codex":0.0002736504,"about_ca_system_score_gemma":0.00029249373,"threshold_uncertainty_score":0.9999269},"labels":[],"label_agreement":null},{"id":"W3197829306","doi":"10.55937/sut/1234383520","title":"Quarter-symmetric metric connection in a Kenmotsu manifold","year":2008,"lang":"en","type":"article","venue":"SUT Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Scalar curvature; Riemann curvature tensor; Connection (principal bundle); Mathematics; Manifold (fluid mechanics); Metric connection; Pure mathematics; Ricci curvature; Curvature; Metric (unit); Mathematical analysis; Ricci decomposition; Quarter (Canadian coin); Fundamental theorem of Riemannian geometry; Topology (electrical circuits); Geometry; Combinatorics","score_opus":0.046745283350753807,"score_gpt":0.28168981951510785,"score_spread":0.23494453616435404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3197829306","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95743495,0.0015285613,0.034634452,0.00019501278,0.00035130762,0.00020561051,0.0000034981988,0.000029433906,0.0056171883],"genre_scores_gemma":[0.9645417,0.00031500883,0.0344112,0.000037605976,0.00019371125,0.000003081255,0.0000010964926,0.000031408697,0.00046518818],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969988,0.0001233688,0.001480732,0.00015846526,0.00090763735,0.00033098765],"domain_scores_gemma":[0.9967329,0.0011777198,0.0011867961,0.00033379352,0.00042565627,0.00014312784],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020851155,0.00024023176,0.00088499807,0.0029489296,0.00008820968,0.000043613738,0.00036740056,0.00016292802,0.00023696407],"category_scores_gemma":[0.0030462535,0.00018526432,0.00041972336,0.004810553,0.00003169431,0.00028391986,0.0000381678,0.00049645087,0.000045996243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035018366,0.026714215,0.09354991,0.0040602824,0.004297429,0.0056806332,0.031762786,0.0008715094,0.0018204891,0.65544885,0.15881,0.016633697],"study_design_scores_gemma":[0.013930374,0.003578314,0.038115215,0.0015398881,0.0024332898,0.01863731,0.030810673,0.015724445,0.0029797927,0.8586517,0.010812226,0.0027867646],"about_ca_topic_score_codex":0.000009943819,"about_ca_topic_score_gemma":0.000016689135,"teacher_disagreement_score":0.20320284,"about_ca_system_score_codex":0.00015124513,"about_ca_system_score_gemma":0.00008887322,"threshold_uncertainty_score":0.75548595},"labels":[],"label_agreement":null},{"id":"W3198335220","doi":"10.1155/2021/6141587","title":"A New Class of Contact Pseudo Framed Manifolds with Applications","year":2021,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Mathematics; Class (philosophy); Combinatorics; Computer science; Artificial intelligence","score_opus":0.030309073965287942,"score_gpt":0.31815776949287883,"score_spread":0.2878486955275909,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3198335220","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16032241,0.0004269171,0.8252956,0.0021430517,0.0001128523,0.00018439112,0.000008194143,0.000014371616,0.011492199],"genre_scores_gemma":[0.4489192,0.00010247642,0.55047476,0.000064926055,0.00012857882,0.0000043681584,7.392693e-7,0.000010689025,0.00029424313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99760234,0.00002750077,0.0008501744,0.0001622617,0.0011963816,0.00016132637],"domain_scores_gemma":[0.9970029,0.0010461826,0.00082000915,0.0001700646,0.00080089475,0.00015995081],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009382092,0.00014927122,0.0005207349,0.00022368014,0.00006199507,0.00015561312,0.00050416176,0.00007094061,0.00045647103],"category_scores_gemma":[0.00075268315,0.0000922711,0.00016358783,0.0005151754,0.00013876175,0.00021422411,0.00009340326,0.00015730696,0.0000051479806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001041886,0.00049650104,0.00017907425,0.000138393,0.00032739047,0.000030926392,0.0005437,0.000008990396,0.0013046602,0.9925675,0.0006368598,0.0037556128],"study_design_scores_gemma":[0.00076120254,0.0002515705,0.00016732703,0.0005071562,0.00028031575,0.0010829441,0.003029202,0.001523833,0.0024488554,0.98812073,0.0016427905,0.00018403902],"about_ca_topic_score_codex":0.0000034938014,"about_ca_topic_score_gemma":0.000007153178,"teacher_disagreement_score":0.28859678,"about_ca_system_score_codex":0.000024133356,"about_ca_system_score_gemma":0.00024549253,"threshold_uncertainty_score":0.49980375},"labels":[],"label_agreement":null},{"id":"W3201339342","doi":"10.1016/j.jmaa.2023.127030","title":"A new gap for CMC biharmonic hypersurfaces in Euclidean spheres","year":2023,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ontario Ministry of Research, Innovation and Science; Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii; Ministerul Cercetării, Inovării şi Digitalizării; Corporation for National and Community Service","keywords":"Biharmonic equation; SPHERES; Mathematics; Euclidean geometry; Mathematical analysis; Pure mathematics; Geometry; Physics","score_opus":0.06641923531315673,"score_gpt":0.34557192112283663,"score_spread":0.2791526858096799,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3201339342","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29032576,0.00064987584,0.7059047,0.0017783386,0.000018210503,0.00040630545,0.000012184134,0.000034558532,0.0008700298],"genre_scores_gemma":[0.88589543,0.0002966446,0.111501664,0.000050486473,0.00020359986,0.00006919155,0.000008380217,0.000025988642,0.0019486067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99840015,0.000035381938,0.0008636122,0.00017410803,0.0003177569,0.0002090068],"domain_scores_gemma":[0.99778336,0.0012434691,0.00042498656,0.00022665951,0.00015451477,0.00016703634],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001001456,0.00013694435,0.0007199701,0.0007632159,0.000077015924,0.000082719525,0.00022037604,0.00007724315,0.00031512915],"category_scores_gemma":[0.00047762846,0.00009548447,0.00049419655,0.0039427713,0.000030187983,0.00009507123,0.000038584745,0.00014984522,0.000023303666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008591838,0.0015934982,0.018136175,0.00093438994,0.008090837,0.000021127067,0.001646865,0.0017052427,0.0017776113,0.83385843,0.04366061,0.08848928],"study_design_scores_gemma":[0.0007171234,0.00007334564,0.0028954768,0.000055043933,0.0034889139,0.000010277168,0.0021798047,0.011529189,0.000119023745,0.9726745,0.006040171,0.0002171294],"about_ca_topic_score_codex":0.00000827579,"about_ca_topic_score_gemma":0.000062437524,"teacher_disagreement_score":0.5955697,"about_ca_system_score_codex":0.000022438398,"about_ca_system_score_gemma":0.000044114564,"threshold_uncertainty_score":0.3893744},"labels":[],"label_agreement":null},{"id":"W3202408200","doi":"10.1090/proc/16108","title":"Uniqueness and stability of singular Ricci flows in higher dimensions","year":2022,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Ricci flow; Uniqueness; Gravitational singularity; Mathematics; Pure mathematics; Stability (learning theory); Ricci curvature; Mathematical analysis; Curvature; Ricci-flat manifold; Flow (mathematics); Singularity; Isotropy; Maximum principle; Scalar curvature; Geometry; Physics; Computer science; Mathematical optimization","score_opus":0.04279540744531476,"score_gpt":0.2938850917096474,"score_spread":0.25108968426433265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3202408200","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9964138,0.00017389657,0.00020804549,0.0006878749,0.000055549244,0.0006000084,0.000025758378,0.000035882316,0.0017991338],"genre_scores_gemma":[0.9492574,0.0000806488,0.050348386,0.00007344834,0.000027238624,0.00008641515,0.0000017711908,0.00004279865,0.00008189005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99720174,0.00007486764,0.0010260955,0.00052891154,0.00084271067,0.00032565638],"domain_scores_gemma":[0.9966616,0.000897106,0.001545597,0.00048814583,0.00031620116,0.00009133653],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002272321,0.0003619413,0.0015918514,0.000098830315,0.0001053679,0.00003521159,0.0007707953,0.00016481543,0.0003036857],"category_scores_gemma":[0.0014329458,0.000250868,0.0007993476,0.001575761,0.00066728523,0.000060725506,0.002473141,0.0009897609,3.9587994e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037610874,0.010307491,0.17097026,0.043453023,0.0043414664,0.0000033651977,0.04169105,0.0001515579,0.03970543,0.6779525,0.008775976,0.0022717402],"study_design_scores_gemma":[0.000355834,0.00010797248,0.012365141,0.00054398313,0.00079944136,0.0000033121653,0.0077951145,0.004344586,0.0021098051,0.9708433,0.00018093722,0.0005505801],"about_ca_topic_score_codex":0.00008631568,"about_ca_topic_score_gemma":0.0000019831127,"teacher_disagreement_score":0.29289076,"about_ca_system_score_codex":0.00016388709,"about_ca_system_score_gemma":0.00007707065,"threshold_uncertainty_score":0.99999434},"labels":[],"label_agreement":null},{"id":"W3203497934","doi":"10.1016/j.na.2021.112571","title":"Magnetic curves in the generalized Heisenberg group","year":2021,"lang":"en","type":"article","venue":"Nonlinear Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Tsukuba; Ontario Ministry of Research, Innovation and Science; Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii; Corporation for National and Community Service","keywords":"Heisenberg group; Group (periodic table); Physics; Mathematics; Mathematical physics; Pure mathematics; Quantum mechanics","score_opus":0.03238180586247238,"score_gpt":0.30323082074887914,"score_spread":0.2708490148864068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3203497934","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9366244,0.029012853,0.010580725,0.007918285,0.00014910073,0.0003730208,0.000071403636,0.00010834887,0.015161857],"genre_scores_gemma":[0.90300477,0.0038684502,0.0672354,0.00674343,0.00063373276,0.0000854956,0.00080316083,0.00006527995,0.017560309],"study_design_codex":"observational","study_design_gemma":"not_applicable","domain_scores_codex":[0.9979156,0.00039059724,0.00049097027,0.00035463512,0.00057136046,0.00027680988],"domain_scores_gemma":[0.9984796,0.0003900339,0.000114253795,0.000804343,0.00015473366,0.000057028246],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009190268,0.00018127236,0.0006065882,0.0004231289,0.00007681299,0.00008622939,0.00033706575,0.00008896162,0.0024787164],"category_scores_gemma":[0.0005491042,0.00012065248,0.0007282817,0.0087007405,0.000031392938,0.00006573319,0.000060011724,0.00023692245,0.000043068827],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021360269,0.019854637,0.46913067,0.0030822174,0.04090365,0.00446674,0.00925049,0.004737572,0.0039224965,0.11876983,0.25635785,0.06931023],"study_design_scores_gemma":[0.0069033047,0.00040113038,0.16234769,0.00042693576,0.07132592,0.00015592699,0.009335978,0.27597845,0.0010766609,0.065098554,0.4029468,0.004002629],"about_ca_topic_score_codex":0.00012555112,"about_ca_topic_score_gemma":0.003779316,"teacher_disagreement_score":0.30678296,"about_ca_system_score_codex":0.000022409795,"about_ca_system_score_gemma":0.000033111624,"threshold_uncertainty_score":0.9984332},"labels":[],"label_agreement":null},{"id":"W3203747179","doi":"10.1090/tran/8520","title":"On stability of the fibres of Hopf surfaces as harmonic maps and minimal surfaces","year":2021,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of British Columbia; China Scholarship Council","keywords":"Mathematics; Stability (learning theory); Mathematical analysis; Harmonic; Pure mathematics; Geometry; Physics; Acoustics","score_opus":0.022889372013148754,"score_gpt":0.26795273417048676,"score_spread":0.245063362157338,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3203747179","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99279684,0.000729701,0.003175745,0.002019867,0.000074143194,0.00036156992,0.0003417448,0.000013503383,0.00048690967],"genre_scores_gemma":[0.9912355,0.00044180657,0.0076583424,0.0000674539,0.000010476462,0.0000076962215,0.0000014190656,0.00002863904,0.0005486863],"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9967097,0.00047981122,0.0011086753,0.00039141675,0.00097241346,0.0003379559],"domain_scores_gemma":[0.99386346,0.0032252285,0.0011683886,0.0012784984,0.00036274942,0.00010166699],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009252056,0.0003412362,0.001345184,0.000035421726,0.00024330289,0.00003455625,0.00061145157,0.0001461487,0.0009474751],"category_scores_gemma":[0.0007860663,0.0002020068,0.0016938756,0.0019693992,0.0024364851,0.000082616956,0.000103692924,0.0005147436,0.0000058885726],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0022239143,0.062822305,0.032783203,0.068637714,0.04636337,0.000010583383,0.17222774,0.012216406,0.39362305,0.1630594,0.019202873,0.026829457],"study_design_scores_gemma":[0.0027276757,0.0019113218,0.04189807,0.0027686437,0.010932695,0.000054982367,0.12325714,0.020793833,0.52893466,0.26483777,0.00035797086,0.0015252603],"about_ca_topic_score_codex":0.00022756467,"about_ca_topic_score_gemma":0.000034030963,"teacher_disagreement_score":0.1353116,"about_ca_system_score_codex":0.00005677126,"about_ca_system_score_gemma":0.00024656113,"threshold_uncertainty_score":0.9999658},"labels":[],"label_agreement":null},{"id":"W3203951986","doi":"10.4310/mrl.2022.v29.n5.a3","title":"A note on blowup limits in 3d Ricci flow","year":2022,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Gravitational singularity; Ricci flow; Mathematics; Limit (mathematics); Flow (mathematics); Pure mathematics; Mathematical analysis; Ricci curvature; Geometry; Curvature","score_opus":0.1237039346110974,"score_gpt":0.39786742909433115,"score_spread":0.27416349448323374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3203951986","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9017397,0.000100576784,0.019073252,0.035080753,0.00020734833,0.001625046,0.00003312031,0.00019025957,0.04194992],"genre_scores_gemma":[0.9651783,0.000009504683,0.027668005,0.0024834585,0.00019101107,0.0006438771,0.000013533256,0.00009147969,0.0037208383],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9941852,0.00084195286,0.0005727282,0.00052444404,0.0028806245,0.0009950182],"domain_scores_gemma":[0.9939553,0.0048709987,0.000077462544,0.0007934868,0.00008920021,0.00021353268],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.005868793,0.00022817073,0.00051967386,0.0012295413,0.00037088932,0.00011753585,0.00074796646,0.0000793764,0.0051349048],"category_scores_gemma":[0.006348032,0.00019000236,0.00020967955,0.0032333462,0.00012309548,0.0000844304,0.00039461476,0.0018207292,0.0006441127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005864794,0.008901066,0.0006735102,0.0012129386,0.00040285758,0.0022564896,0.0090896245,0.0041685323,0.008358901,0.32501882,0.5987616,0.040569164],"study_design_scores_gemma":[0.004886353,0.0016834028,0.00140437,0.00050777366,0.0001654351,0.000107348904,0.0030650957,0.20797437,0.0010738696,0.6906574,0.08650746,0.001967122],"about_ca_topic_score_codex":0.000014628227,"about_ca_topic_score_gemma":0.000013340534,"teacher_disagreement_score":0.5122541,"about_ca_system_score_codex":0.00041618902,"about_ca_system_score_gemma":0.0000633291,"threshold_uncertainty_score":0.9957745},"labels":[],"label_agreement":null},{"id":"W3207823451","doi":"10.1007/s12220-023-01328-4","title":"Normal Covering Spaces with Maximal Bottom of Spectrum","year":2023,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Riemannian manifold; Pure mathematics; Manifold (fluid mechanics); Space (punctuation); Spectrum (functional analysis); Dimension (graph theory); Mathematical analysis; Laplace operator; Riemannian geometry; Holonomy; Euclidean space; Pseudo-Riemannian manifold; Zero (linguistics); Hermitian manifold; Topology (electrical circuits); Geometry; Ricci curvature; Combinatorics; Physics; Computer science; Quantum mechanics","score_opus":0.02122988979808392,"score_gpt":0.26616025457679454,"score_spread":0.2449303647787106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3207823451","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9322608,0.0006224712,0.06567762,0.00027375107,0.000076376455,0.000052741914,0.000008677029,0.00002494093,0.0010026335],"genre_scores_gemma":[0.9912182,0.0003469513,0.006899961,0.00001415287,0.00016339718,0.0000010430878,0.000003937623,0.000022166018,0.0013301652],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99676156,0.00007496928,0.0010881909,0.00020689484,0.0014678023,0.0004005919],"domain_scores_gemma":[0.99652773,0.00071317214,0.0016973173,0.0003753858,0.0005057763,0.00018059812],"candidate_categories":["bibliometrics"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.0019422806,0.00023034579,0.0013309025,0.012081167,0.000084861735,0.00008571873,0.00044605054,0.00011017441,0.0006192061],"category_scores_gemma":[0.00095974735,0.00015804835,0.0010569758,0.054029148,0.000061885024,0.000315319,0.00008280585,0.00039687386,0.00001870703],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004261089,0.0008284453,0.90417886,0.00031315914,0.03835718,0.00063115737,0.0006941613,0.035631225,0.00029388594,0.0022183468,0.007724852,0.008702602],"study_design_scores_gemma":[0.0048435405,0.003091885,0.87966734,0.00029975423,0.059054196,0.0003578107,0.0080561815,0.023909997,0.0032397269,0.009192736,0.006579494,0.0017073465],"about_ca_topic_score_codex":0.00007766487,"about_ca_topic_score_gemma":0.00004738622,"teacher_disagreement_score":0.058957435,"about_ca_system_score_codex":0.00007376193,"about_ca_system_score_gemma":0.00009305672,"threshold_uncertainty_score":0.99911606},"labels":[],"label_agreement":null},{"id":"W3207872663","doi":"10.1016/j.jfa.2023.110201","title":"Backward and forward Wasserstein projections in stochastic order","year":2023,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Probability measure; Regular polygon; Applied mathematics; Wasserstein metric; Projection (relational algebra); Duality (order theory); Factorization; Pure mathematics; Mathematical analysis","score_opus":0.04565879890116859,"score_gpt":0.2989803354363609,"score_spread":0.2533215365351923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3207872663","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83360666,0.00024131715,0.16355458,0.0017526373,0.0002509504,0.00010319992,0.000008882005,0.000030458026,0.0004512952],"genre_scores_gemma":[0.9959133,0.000048947757,0.0016647548,0.000041808446,0.0001849163,0.0000059481995,0.000011283329,0.0000111548425,0.0021178438],"study_design_codex":"simulation_or_modeling","study_design_gemma":"observational","domain_scores_codex":[0.9983363,0.0000707598,0.00065071764,0.00016637974,0.0005842402,0.00019156832],"domain_scores_gemma":[0.99841857,0.0004993386,0.0003644253,0.00013405837,0.00048487066,0.00009874872],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011269992,0.00013127066,0.0005432976,0.003225445,0.00009125693,0.0000533218,0.000094382194,0.00008005916,0.0003330185],"category_scores_gemma":[0.00100338,0.00009804368,0.00043196583,0.010811689,0.000029384928,0.0002053834,0.000035856705,0.0002745569,0.000020531996],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00065273634,0.0015853402,0.1946748,0.00019765741,0.033889692,0.0002459759,0.001922082,0.6643242,0.0009419572,0.020227782,0.07250831,0.008829439],"study_design_scores_gemma":[0.0040907227,0.0006651122,0.58423907,0.00013443058,0.02238643,0.00027168263,0.010311926,0.2661733,0.000033955283,0.104867615,0.0057771434,0.0010486178],"about_ca_topic_score_codex":0.000026254875,"about_ca_topic_score_gemma":0.00022312113,"teacher_disagreement_score":0.39815092,"about_ca_system_score_codex":0.000070839145,"about_ca_system_score_gemma":0.000081520586,"threshold_uncertainty_score":0.5194658},"labels":[],"label_agreement":null},{"id":"W3211763402","doi":"10.1515/crelle-2021-0065","title":"Nonnegative Ricci curvature and escape rate gap","year":2021,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Ricci curvature; Curvature; Ricci flow; Mathematics; Physics; Psychology; Geometry","score_opus":0.03923147936020108,"score_gpt":0.32861728664823725,"score_spread":0.2893858072880362,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3211763402","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6179894,0.2490876,0.0659331,0.0197475,0.0026488055,0.00087591563,0.000078807745,0.00027951415,0.04335933],"genre_scores_gemma":[0.64661956,0.13030654,0.15066794,0.0024217153,0.009222528,0.000035808655,0.00005214613,0.0006626209,0.060011126],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995162,0.00065473263,0.0016461052,0.00053946726,0.001114818,0.0008828922],"domain_scores_gemma":[0.9941241,0.0013641526,0.0016926315,0.0005815638,0.0014260893,0.0008114376],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0030819166,0.00072521303,0.0014860093,0.00070456223,0.0011911269,0.0014385473,0.0005275294,0.000368928,0.0012434508],"category_scores_gemma":[0.0032660328,0.00051222363,0.00086094387,0.0014246445,0.00013378025,0.0007954542,0.00026523034,0.0024055855,0.000062362815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011150189,0.0070598745,0.0037432967,0.00401668,0.030413797,0.03352546,0.030943424,0.00058896287,0.03842045,0.1889679,0.5743614,0.08684378],"study_design_scores_gemma":[0.004941828,0.0005312916,0.0005741858,0.0021669774,0.003522018,0.021027146,0.007663017,0.0011734295,0.00838081,0.77413446,0.1740894,0.0017954394],"about_ca_topic_score_codex":0.0000036709187,"about_ca_topic_score_gemma":0.000040022085,"teacher_disagreement_score":0.5851666,"about_ca_system_score_codex":0.0001782669,"about_ca_system_score_gemma":0.00028359954,"threshold_uncertainty_score":0.99989593},"labels":[],"label_agreement":null},{"id":"W3212829576","doi":"10.1088/1742-6596/2070/1/012075","title":"On W<sub>0</sub> and W<sub>2</sub> ø-Symmetric Contact Manifold Admitting Quarter-Symmetric Metric Connection","year":2021,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Quarter (Canadian coin); Metric (unit); Mathematics; Manifold (fluid mechanics); Curvature; Metric connection; Combinatorics; Riemann curvature tensor; Mathematical analysis; Pure mathematics; Geometry; Fundamental theorem of Riemannian geometry; Ricci curvature; Geography; Engineering","score_opus":0.026849012012683818,"score_gpt":0.252621799685951,"score_spread":0.2257727876732672,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3212829576","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9707301,0.0012068418,0.025602374,0.00033164903,0.0006245839,0.0001702785,0.000016347121,0.00004415189,0.00127366],"genre_scores_gemma":[0.99699694,0.0013639678,0.0008448543,0.00013748843,0.0005507499,0.0000068051445,0.000011035623,0.000050005558,0.00003813368],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99635935,0.00030997745,0.0012117152,0.00047509762,0.0011181803,0.0005257084],"domain_scores_gemma":[0.9940777,0.0017307914,0.0016164815,0.00043946767,0.0018316526,0.00030391774],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001069862,0.0004980532,0.0012542878,0.0016366915,0.00029107026,0.0005015182,0.00030016046,0.00023712394,0.000037565173],"category_scores_gemma":[0.0033739978,0.00043511592,0.00052507187,0.0068231956,0.000058412097,0.0010333121,0.000109998284,0.0009177311,0.000024477871],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028179048,0.001327082,0.0015819079,0.0004436138,0.0014841842,0.0003320313,0.0008377436,0.000046785364,0.15245831,0.51452893,0.0024585426,0.32421908],"study_design_scores_gemma":[0.001787573,0.0017897887,0.008314225,0.00039491136,0.0010141481,0.00040784778,0.0033028312,0.00046056995,0.8533928,0.12810835,0.00026256221,0.0007643862],"about_ca_topic_score_codex":0.0000063035477,"about_ca_topic_score_gemma":0.000026817963,"teacher_disagreement_score":0.70093447,"about_ca_system_score_codex":0.00015267507,"about_ca_system_score_gemma":0.00032727903,"threshold_uncertainty_score":0.99981004},"labels":[],"label_agreement":null},{"id":"W3212965422","doi":"10.52843/cassyni.135k55","title":"Mean curvature flow through neck-singularities","year":2021,"lang":"en","type":"preprint","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Gravitational singularity; Mean curvature flow; Conjecture; Curvature; Mathematics; Regular polygon; Singularity; Flow (mathematics); Mathematical analysis; Sectional curvature; Pure mathematics; Mean curvature; Geometry; Scalar curvature","score_opus":0.0529423074656988,"score_gpt":0.30599690456581047,"score_spread":0.2530545971001117,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3212965422","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09254592,0.03309357,0.45640564,0.0056376196,0.007046509,0.0015903661,0.000258964,0.0017161807,0.4017052],"genre_scores_gemma":[0.27947274,0.0006551551,0.6935366,0.0012689813,0.0014685054,0.00006889953,0.0009648285,0.00016273488,0.022401605],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99687254,0.00014292642,0.0007198825,0.0008956042,0.0008757332,0.0004933052],"domain_scores_gemma":[0.99712944,0.0002444393,0.00033821064,0.0016408894,0.0005337855,0.00011325889],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004288443,0.000626837,0.0012778481,0.00020959982,0.00013865094,0.0006801165,0.0006572469,0.0010933834,0.003480958],"category_scores_gemma":[0.00069780723,0.00051486876,0.0009715287,0.0008175128,0.00006656309,0.00018839927,0.0011405657,0.0017307072,0.0000332154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038484788,0.0018573923,0.001078517,0.005763635,0.007931683,0.00055559963,0.033525586,0.002215808,0.0000467819,0.43806005,0.49159977,0.017326692],"study_design_scores_gemma":[0.00078157446,0.00005629196,0.00025320664,0.0013065628,0.0027400486,0.000054890595,0.0124871805,0.008495544,0.00060204393,0.8418715,0.12877212,0.0025790567],"about_ca_topic_score_codex":0.00029157236,"about_ca_topic_score_gemma":0.0007024029,"teacher_disagreement_score":0.40381142,"about_ca_system_score_codex":0.00009718782,"about_ca_system_score_gemma":0.00022243781,"threshold_uncertainty_score":0.9997303},"labels":[],"label_agreement":null},{"id":"W3216473862","doi":"10.1016/j.spa.2023.104292","title":"Heat kernel bounds and Ricci curvature for Lipschitz manifolds","year":2024,"lang":"en","type":"article","venue":"Stochastic Processes and their Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"European Research Council; Rheinische Friedrich-Wilhelms-Universität Bonn; Austrian Science Fund","keywords":"Mathematics; Ricci curvature; Lipschitz continuity; Riemannian manifold; Lebesgue measure; Measure (data warehouse); Bounded function; Pure mathematics; Heat kernel; Lebesgue integration; Mathematical analysis; Curvature; Combinatorics; Geometry","score_opus":0.01964965891618981,"score_gpt":0.2853416441461506,"score_spread":0.2656919852299608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3216473862","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0025134736,0.016204208,0.97859406,0.000872088,0.00005107235,0.0006710228,0.00011083828,0.00014589251,0.00083734735],"genre_scores_gemma":[0.99485207,0.000094318544,0.002817254,0.00008106261,0.00028121547,0.0009913917,0.000043469296,0.000035331697,0.0008038954],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990664,0.0000062563035,0.00021511657,0.0003974772,0.0001012276,0.00021353412],"domain_scores_gemma":[0.99888396,0.0006229644,0.000029190798,0.00021934757,0.0001432172,0.00010133969],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018059135,0.00020299808,0.00025245227,0.00014159305,0.0002764854,0.00026151634,0.00012530344,0.00010763907,0.00001812361],"category_scores_gemma":[0.00013919572,0.00014212728,0.00006591318,0.00079984,0.000066111395,0.0001062162,0.00005439082,0.00014445778,0.000004928933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001710458,0.00016424894,0.000009107056,0.0030726378,0.00037522987,6.179919e-7,0.0013520584,0.0000067800074,0.00027124927,0.96980727,0.003986885,0.020936785],"study_design_scores_gemma":[0.0002266228,0.00007090211,0.000016922348,0.00013150382,0.00034317505,0.000042115833,0.00073790306,0.00890213,0.000050716415,0.9599672,0.029214406,0.0002964105],"about_ca_topic_score_codex":0.000006096257,"about_ca_topic_score_gemma":0.000023851086,"teacher_disagreement_score":0.9923386,"about_ca_system_score_codex":0.000012844035,"about_ca_system_score_gemma":0.00007320306,"threshold_uncertainty_score":0.5795782},"labels":[],"label_agreement":null},{"id":"W359612022","doi":"","title":"Noncompact problems at the intersection of geometry, analysis, and topology : proceedings of the Brezis-Browder Conference, Noncompact Variational Problems and General Relativity, October 14-18, 2001, Rutgers, the State University of New Jersey, New Brunswick, NJ","year":2004,"lang":"en","type":"book","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Sobolev space; Mathematics; Harmonic map; Mathematical physics; General relativity; Mathematical analysis; Topology (electrical circuits); Combinatorics","score_opus":0.03347755789326918,"score_gpt":0.24873004635709917,"score_spread":0.21525248846383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W359612022","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45056075,0.002821698,0.07906723,0.0049719885,0.0007033138,0.006251607,0.0004106199,0.00012795947,0.45508483],"genre_scores_gemma":[0.3392667,0.0003476843,0.0021711409,0.000052418298,0.00012282401,0.0000013822935,0.00006192611,0.000043263204,0.6579327],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99727726,0.00011298027,0.00088141416,0.0005505851,0.000815262,0.00036248312],"domain_scores_gemma":[0.9961037,0.0005329019,0.0020752156,0.00047537277,0.0006517614,0.0001610383],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001090677,0.00049987616,0.0013651896,0.0006023325,0.00022980754,0.00006670647,0.000587886,0.00042910958,0.0016867651],"category_scores_gemma":[0.00014607083,0.0002754781,0.0006103324,0.0019105086,0.0007138707,0.00022076003,0.00047460158,0.0006902662,0.0000019297115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00078349124,0.0013238683,0.16162671,0.0028262949,0.04185266,0.000005362944,0.041344456,0.013767863,0.0017385833,0.19143385,0.5396302,0.0036666659],"study_design_scores_gemma":[0.010649363,0.0018952024,0.2725558,0.0018978041,0.038214773,0.00025324192,0.0032843743,0.017871844,0.0010967703,0.5957144,0.05347585,0.0030906133],"about_ca_topic_score_codex":0.016221836,"about_ca_topic_score_gemma":0.023228163,"teacher_disagreement_score":0.48615435,"about_ca_system_score_codex":0.00041535823,"about_ca_system_score_gemma":0.0020178235,"threshold_uncertainty_score":0.9999697},"labels":[],"label_agreement":null},{"id":"W36994600","doi":"10.1111/1541-4337.13144","title":"Étude du modèle des variétés roulantes et de sa commandabilité","year":2012,"lang":"en","type":"dissertation","venue":"Comprehensive Reviews in Food Science and Food Safety","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Canada Research Chairs","keywords":"Humanities; Physics; Philosophy","score_opus":0.1135021682625994,"score_gpt":0.36225337489469667,"score_spread":0.24875120663209727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W36994600","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.822475,0.16514711,0.0018377026,0.00015529778,0.00053148385,0.0017207726,0.000048025988,0.00006581577,0.008018782],"genre_scores_gemma":[0.9621041,0.032975186,0.004262407,0.00025779594,0.00010398279,0.00009687773,0.000077053264,0.000036796366,0.000085821724],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.99642617,0.00043456277,0.0010455893,0.0006951585,0.00069584843,0.00070266484],"domain_scores_gemma":[0.9970189,0.00072093005,0.0005474806,0.00072525983,0.0007328639,0.0002546158],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004040471,0.0005159943,0.0014727222,0.0005558998,0.0004385919,0.00015218568,0.0007469421,0.0002740963,0.0000583505],"category_scores_gemma":[0.002310559,0.0003962464,0.00029992918,0.0023606052,0.0003881094,0.00045416376,0.00019135633,0.00063653983,0.000014258838],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00061477016,0.0037227287,0.03471029,0.023043059,0.0012492221,0.000023028964,0.06687579,0.00011968792,0.005202806,0.34596476,0.0050228895,0.513451],"study_design_scores_gemma":[0.0022695777,0.0020417427,0.66344285,0.006873262,0.001292829,0.0001363132,0.008783718,0.0010356549,0.0006043332,0.1433581,0.16694316,0.0032184338],"about_ca_topic_score_codex":0.000034397068,"about_ca_topic_score_gemma":0.0015115554,"teacher_disagreement_score":0.62873256,"about_ca_system_score_codex":0.00022704256,"about_ca_system_score_gemma":0.0003056148,"threshold_uncertainty_score":0.99984896},"labels":[],"label_agreement":null},{"id":"W4200599646","doi":"10.1142/s0219199721501078","title":"Determinant of Friedrichs Dirichlet Laplacians on 2-dimensional hyperbolic cones","year":2021,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dawson College","funders":"","keywords":"Mathematics; Boundary (topology); Geodesic; Orbifold; Mathematical analysis; Gaussian curvature; Dirichlet distribution; Pure mathematics; Cone (formal languages); Riemann hypothesis; Curvature; Geometry; Boundary value problem","score_opus":0.2091577038787375,"score_gpt":0.38019411063482383,"score_spread":0.17103640675608633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4200599646","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8262357,0.010313388,0.004549,0.0051033604,0.00029549078,0.001043905,0.00014239478,0.00019164232,0.15212509],"genre_scores_gemma":[0.93717366,0.00021762455,0.061249733,0.00016290972,0.00001744108,0.00004754824,0.000055503242,0.000032445678,0.001043101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978535,0.00027418332,0.0010404659,0.00024152058,0.00038975084,0.0002005347],"domain_scores_gemma":[0.9935273,0.0029285029,0.00045639346,0.0026861916,0.00033445493,0.0000671891],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008157296,0.0002241812,0.00071382173,0.00033029015,0.00012167242,0.000032054646,0.000840177,0.00014445621,0.000096989985],"category_scores_gemma":[0.0017466513,0.00019861793,0.00019491075,0.001278976,0.00017186685,0.00012187673,0.00039622132,0.00033465083,0.000033333425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037741767,0.008871683,0.006853971,0.00075027667,0.00043934732,0.000099550394,0.0052196435,0.00007153641,0.0021858134,0.9547104,0.017328916,0.0034311058],"study_design_scores_gemma":[0.006858152,0.000612474,0.0074102683,0.00469125,0.00076910335,0.00028963145,0.018065292,0.05140176,0.01718184,0.7784644,0.11127515,0.0029807263],"about_ca_topic_score_codex":0.00001405938,"about_ca_topic_score_gemma":0.000094428535,"teacher_disagreement_score":0.17624606,"about_ca_system_score_codex":0.000044586424,"about_ca_system_score_gemma":0.00021217809,"threshold_uncertainty_score":0.8099404},"labels":[],"label_agreement":null},{"id":"W4206313370","doi":"10.4153/s0008439522000078","title":"Some characterizations of -Einstein solitons on Sasakian manifolds","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Einstein; Einstein manifold; Infinitesimal; Vector field; Soliton; Mathematical physics; Invariant (physics); Field (mathematics); Mathematical analysis; Pure mathematics; Physics; Scalar curvature; Geometry; Nonlinear system; Quantum mechanics; Curvature","score_opus":0.024745395803788428,"score_gpt":0.24582166314878634,"score_spread":0.2210762673449979,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4206313370","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83613336,0.00024545286,0.002103022,0.029428585,0.0006047372,0.0015703698,0.000962847,0.00022011995,0.12873152],"genre_scores_gemma":[0.98736405,0.0000041413873,0.001389614,0.0012244408,0.0001387012,0.00010462152,0.00005389548,0.000049300015,0.009671236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980447,0.00013185025,0.00056356733,0.0002851268,0.00051041873,0.00046433613],"domain_scores_gemma":[0.99833536,0.00038468043,0.00018713274,0.0005924796,0.00006916442,0.00043120148],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005460765,0.00020647228,0.00047827675,0.0005776393,0.0003356841,0.00003850723,0.0004273583,0.00008580366,0.046039272],"category_scores_gemma":[0.0006621279,0.00019757607,0.00022537868,0.0007001682,0.00006276954,0.000030647047,0.00008494519,0.00032534247,0.0015008509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006417241,0.00027836542,0.00003370056,0.000098799785,0.00008291155,0.000038506438,0.0003305159,0.000021868858,0.00012866277,0.95667696,0.04194547,0.0003578014],"study_design_scores_gemma":[0.00078676734,0.00041897845,0.0007193395,0.00012423213,0.00029371507,0.00006521309,0.0018547667,0.000800714,0.00037090405,0.5000573,0.49367458,0.0008334885],"about_ca_topic_score_codex":0.00035517698,"about_ca_topic_score_gemma":0.0002894863,"teacher_disagreement_score":0.45661968,"about_ca_system_score_codex":0.00021636272,"about_ca_system_score_gemma":0.00019572365,"threshold_uncertainty_score":0.9992766},"labels":[],"label_agreement":null},{"id":"W4220849356","doi":"10.28924/2291-8639-20-2022-18","title":"On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Islamic University of Madinah","keywords":"Tangent; Magnetic field; Mathematics; Tangent vector; Euclidean space; Space (punctuation); Mathematical analysis; Geometry; Physics; Computer science","score_opus":0.01736204560100062,"score_gpt":0.3135910734243778,"score_spread":0.2962290278233772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4220849356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78003746,0.0012874875,0.20242062,0.014300628,0.0001913735,0.00024555708,0.0000276418,0.000012989531,0.0014762316],"genre_scores_gemma":[0.99692965,0.00021058749,0.0018559904,0.00058658706,0.000110163564,0.000034262932,0.0000068526433,0.000006278599,0.00025960334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987166,0.000054774126,0.00046118532,0.0001446908,0.00052858156,0.000094165036],"domain_scores_gemma":[0.99891305,0.0003894403,0.00028374337,0.00013633224,0.00020671502,0.00007074221],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062470994,0.00008219589,0.00027433466,0.0011921333,0.00008583529,0.00005406289,0.00034806022,0.000020093516,0.0003743019],"category_scores_gemma":[0.00018181541,0.00007284259,0.00021232464,0.001766582,0.00000932785,0.000059537375,0.000092045666,0.00023672881,0.0000026146015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003922646,0.004087025,0.16885647,0.00013339942,0.0100965565,0.00017174297,0.003152455,0.1262145,0.0016115459,0.5021078,0.030879166,0.15229705],"study_design_scores_gemma":[0.0063519897,0.0030916552,0.21894419,0.0010560064,0.013819786,0.00040222294,0.027581342,0.05720369,0.0009172306,0.43418783,0.23323397,0.0032100733],"about_ca_topic_score_codex":0.000035814268,"about_ca_topic_score_gemma":0.00006591076,"teacher_disagreement_score":0.2168922,"about_ca_system_score_codex":0.00007240108,"about_ca_system_score_gemma":0.000021809916,"threshold_uncertainty_score":0.40983433},"labels":[],"label_agreement":null},{"id":"W4221166264","doi":"10.1007/s00245-022-09937-1","title":"Transport Type Metrics on the Space of Probability Measures Involving Singular Base Measures","year":2023,"lang":"en","type":"article","venue":"Applied Mathematics & Optimization","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Mathematics; Probability measure; Measure (data warehouse); Lebesgue measure; Geodesic; Absolute continuity; Wasserstein metric; Metric space; Metric (unit); Base (topology); Type (biology); Pure mathematics; Combinatorics; Discrete mathematics; Mathematical analysis; Lebesgue integration","score_opus":0.07840090355786736,"score_gpt":0.2677687391888136,"score_spread":0.18936783563094625,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221166264","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12120102,0.00018241559,0.8660049,0.000768072,0.00020919359,0.001953243,0.000014352246,0.00045643252,0.009210368],"genre_scores_gemma":[0.7132403,0.00012380605,0.28614238,0.00005482521,0.00004305083,0.00007454459,0.00003851008,0.00007212903,0.00021044225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974319,0.0000713625,0.00073395,0.00034159623,0.001113661,0.00030753738],"domain_scores_gemma":[0.99688035,0.0012842458,0.00048211863,0.0008371837,0.00043940076,0.000076681135],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030333693,0.00028843406,0.0005508326,0.0004842787,0.00019395712,0.000049302875,0.0003568219,0.00023751681,0.00013685225],"category_scores_gemma":[0.0031566396,0.00019789753,0.00017865835,0.0048512276,0.0000861887,0.00007426552,0.000048453127,0.00030930518,0.000027425718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032619,0.00068065175,0.00017706236,0.0006499465,0.0003052612,0.000002632214,0.002736773,0.24755253,0.0020747113,0.7427772,0.0022293392,0.00078126084],"study_design_scores_gemma":[0.00090965256,0.0001798829,0.00015012667,0.0002890373,0.0013052555,0.0000033947204,0.004235322,0.37525156,0.016466012,0.5995647,0.0007159255,0.0009291944],"about_ca_topic_score_codex":0.000008325004,"about_ca_topic_score_gemma":0.0000113683445,"teacher_disagreement_score":0.5920393,"about_ca_system_score_codex":0.0000652875,"about_ca_system_score_gemma":0.00007367437,"threshold_uncertainty_score":0.8070027},"labels":[],"label_agreement":null},{"id":"W4224249612","doi":"10.1007/s00209-022-03015-6","title":"On the structure of $$\\mathrm {RCD}$$ spaces with upper curvature bounds","year":2022,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Boundary (topology); Manifold (fluid mechanics); Bounded function; Curvature; Submanifold; Metric (unit); Space (punctuation); Metric space; Algorithm; Combinatorics; Geometry; Mathematical analysis; Computer science","score_opus":0.01633339542511369,"score_gpt":0.2474235524816166,"score_spread":0.2310901570565029,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4224249612","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96101916,0.0007994361,0.0021753397,0.003149724,0.00021929634,0.0008497121,0.00022511931,0.00015207328,0.031410113],"genre_scores_gemma":[0.9908218,0.0000067529145,0.006155374,0.000382992,0.000080515514,0.000047432008,0.000022924336,0.00007694451,0.0024053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969589,0.00023522446,0.0005252307,0.0004411745,0.0014074707,0.00043198845],"domain_scores_gemma":[0.9968865,0.001126907,0.0005820769,0.0011646913,0.00015161406,0.00008821408],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007757914,0.00041465304,0.00070437643,0.00028565386,0.0005828959,0.00012074104,0.00083166326,0.00013047243,0.0066917413],"category_scores_gemma":[0.0005220746,0.00022430568,0.00027248354,0.0016513435,0.00013381138,0.00013017497,0.0002835976,0.00097073044,0.000026717022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006256241,0.00029847462,0.00043695283,0.00016108273,0.00045043835,0.000010508733,0.0023281742,0.000153933,0.0011784554,0.9470718,0.04764333,0.00020432075],"study_design_scores_gemma":[0.0037561122,0.0025553945,0.0025348829,0.0006526943,0.0023551437,0.0005258724,0.020246696,0.0021712603,0.017003644,0.490565,0.4547383,0.0028950283],"about_ca_topic_score_codex":0.000018572262,"about_ca_topic_score_gemma":0.000026654332,"teacher_disagreement_score":0.4565068,"about_ca_system_score_codex":0.0000123569325,"about_ca_system_score_gemma":0.00008044263,"threshold_uncertainty_score":0.99421626},"labels":[],"label_agreement":null},{"id":"W4225350656","doi":"10.1007/s12220-024-01598-6","title":"Positive Ricci Curvature and the Length of a Shortest Periodic Geodesic","year":2024,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Ricci curvature; Mathematics; Geodesic; Sectional curvature; Dimension (graph theory); Riemannian manifold; Bounded function; Combinatorics; Mathematical analysis; Space (punctuation); Manifold (fluid mechanics); Curvature; Pure mathematics; Scalar curvature; Geometry","score_opus":0.014294102596869229,"score_gpt":0.27673263987635116,"score_spread":0.2624385372794819,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4225350656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7841994,0.10211039,0.10872285,0.0022567424,0.00030031177,0.00026110082,0.00004771768,0.000032644533,0.0020688353],"genre_scores_gemma":[0.9952479,0.0018780818,0.001804868,0.00006377749,0.0002041961,0.0000025077454,0.0000043717914,0.000019908253,0.0007744004],"study_design_codex":"meta_analysis","study_design_gemma":"meta_analysis","domain_scores_codex":[0.99697465,0.00023897846,0.001188626,0.0002583917,0.001069907,0.0002694675],"domain_scores_gemma":[0.9947703,0.0031690337,0.00084531977,0.0003613167,0.00070920744,0.00014483233],"candidate_categories":["bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.0034151075,0.00026120074,0.0014223352,0.006238427,0.00012776705,0.00022625003,0.0004114056,0.00015664147,0.0002986247],"category_scores_gemma":[0.002466531,0.00014054662,0.0016052552,0.027665889,0.00023484188,0.00027642364,0.0000852833,0.0006932866,0.0000045141423],"study_design_candidate":"meta_analysis","study_design_consensus":"meta_analysis","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016940271,0.002916199,0.16256794,0.0015615021,0.3539026,0.0014021222,0.018153438,0.0054751835,0.00040956464,0.14109387,0.06589565,0.24492788],"study_design_scores_gemma":[0.010272453,0.0025241578,0.303646,0.0011790795,0.42511192,0.001811779,0.015148144,0.11945154,0.0005898842,0.09242331,0.024985326,0.0028563864],"about_ca_topic_score_codex":0.00006857493,"about_ca_topic_score_gemma":0.000022925598,"teacher_disagreement_score":0.24207151,"about_ca_system_score_codex":0.00007238951,"about_ca_system_score_gemma":0.000106452,"threshold_uncertainty_score":0.9930015},"labels":[],"label_agreement":null},{"id":"W4225853730","doi":"10.22215/etd/2021-14924","title":"Applications of Optimal Mass Transportation in Geometric and Functional Inequalities","year":2021,"lang":"en","type":"dissertation","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematical proof; Mass transportation; Inequality; Sobolev space; Mathematics; Work (physics); Sobolev inequality; Applied mathematics; Pure mathematics; Calculus (dental); Mathematical optimization; Mathematical analysis; Geometry; Engineering; Mechanical engineering","score_opus":0.02660485536552345,"score_gpt":0.28339909778875816,"score_spread":0.25679424242323473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4225853730","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.841528,0.0043661394,0.1386177,0.000045964593,0.00018787564,0.00067806797,0.00014101407,0.0000490717,0.01438617],"genre_scores_gemma":[0.9435999,0.00041592852,0.0158561,0.000014307345,0.00008113223,0.0002501651,0.006019,0.000036070058,0.033727437],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9985648,0.000029691098,0.00063799927,0.00026828924,0.0003771628,0.00012208943],"domain_scores_gemma":[0.99888736,0.00031664094,0.00029212807,0.00017536826,0.00029153324,0.00003695012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002645353,0.00017399546,0.0004857465,0.0012509518,0.00003057153,0.000024679728,0.00006355715,0.00025316878,0.0008798298],"category_scores_gemma":[0.00013294691,0.00016373821,0.00013033074,0.0024834918,0.000014832918,0.00007990732,0.0000028375853,0.0002008232,0.0000020783186],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003610421,0.0024194124,0.03394118,0.014337006,0.0021523233,0.000026049764,0.011121685,0.0009814178,0.002117079,0.8469495,0.0075286967,0.07806459],"study_design_scores_gemma":[0.0047907257,0.00033967968,0.5821352,0.0010678057,0.003890323,0.000008961353,0.21506783,0.0015585201,0.008672876,0.16435578,0.014748859,0.0033634142],"about_ca_topic_score_codex":0.000116102696,"about_ca_topic_score_gemma":0.0011623056,"teacher_disagreement_score":0.68259376,"about_ca_system_score_codex":0.000023721597,"about_ca_system_score_gemma":0.00008489578,"threshold_uncertainty_score":0.96335196},"labels":[],"label_agreement":null},{"id":"W4226032040","doi":"10.3929/ethz-b-000666232","title":"Hausdorff limits of submanifolds of symplectic and contact manifolds","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Symplectic geometry; Mathematics; Pure mathematics; Conjecture; Lagrangian; Hausdorff space; Mathematical analysis","score_opus":0.11311651595482983,"score_gpt":0.2231636576398822,"score_spread":0.11004714168505236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226032040","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9895078,0.00032706003,0.0041622045,0.000016411559,0.00015960816,0.00029100975,0.000059658032,0.000039592902,0.0054366807],"genre_scores_gemma":[0.99746674,0.000428834,0.00018807808,0.000011676598,0.000027515323,0.0000011003048,0.000023594963,0.000030008903,0.0018224467],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983407,0.00016903512,0.0004379181,0.00062215654,0.0001840145,0.00024616803],"domain_scores_gemma":[0.99760437,0.00044381482,0.0007942868,0.00082970335,0.0002224121,0.000105419735],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00048281823,0.00030776596,0.0009103653,0.0006351349,0.00008556614,0.000019035415,0.00055956363,0.00028096352,0.0006923071],"category_scores_gemma":[0.00019951326,0.00033580416,0.00039793664,0.001063453,0.00007605958,0.000086796565,0.0007936368,0.0004918246,0.0000029756545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016561884,0.00061129604,0.052392032,0.0018505601,0.0016994856,0.00020126534,0.0005906084,0.0043591782,0.0003231377,0.93672377,0.0009019613,0.00018106656],"study_design_scores_gemma":[0.004677345,0.001369441,0.07191137,0.0007325505,0.009628767,0.00003962862,0.005559583,0.03391155,0.0016649563,0.86629397,0.0016571294,0.0025536818],"about_ca_topic_score_codex":0.00018466833,"about_ca_topic_score_gemma":0.000128177,"teacher_disagreement_score":0.070429794,"about_ca_system_score_codex":0.00011245226,"about_ca_system_score_gemma":0.000116754905,"threshold_uncertainty_score":0.9999094},"labels":[],"label_agreement":null},{"id":"W4226052975","doi":"10.1007/s41884-022-00070-0","title":"Laplacian operator on statistical manifold","year":2022,"lang":"en","type":"article","venue":"Information Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia, Okanagan Campus; Kelowna General Hospital; University of British Columbia; Carleton University","funders":"","keywords":"Laplace operator; Vector Laplacian; Mathematics; Manifold (fluid mechanics); Manifold alignment; Operator (biology); Statistical manifold; Pure mathematics; Laplacian matrix; Kernel (algebra); Heat kernel; Computer science; Mathematical analysis; Artificial intelligence; Nonlinear dimensionality reduction; Physics; Vector potential; Information geometry; Chemistry; Geometry","score_opus":0.01980564271858374,"score_gpt":0.27252523974286563,"score_spread":0.2527195970242819,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226052975","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7274201,0.000084255975,0.08060978,0.0013897559,0.0015138905,0.00088420766,0.0010060585,0.0005206602,0.18657131],"genre_scores_gemma":[0.9940688,0.0000025764896,0.0025709884,0.0018921056,0.00006156934,0.00005748232,0.0002091555,0.000010915874,0.0011264265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984508,0.000058488982,0.0003966289,0.000109171466,0.000758776,0.00022612346],"domain_scores_gemma":[0.99913883,0.00024700642,0.00016260317,0.00029062125,0.00007008246,0.00009087989],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00062324817,0.0001292413,0.00019889294,0.00070606923,0.00032733128,0.00008537506,0.00023048275,0.0000473545,0.013249882],"category_scores_gemma":[0.00048362766,0.00011700927,0.00007682158,0.0014523152,0.000011362937,0.0004441542,0.00011962955,0.0003237267,0.0011363926],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006120364,0.0002430808,0.002113998,0.00007223761,0.00011948482,0.000011561819,0.00071926456,0.0007723084,0.000006647514,0.63142264,0.34848142,0.015976185],"study_design_scores_gemma":[0.0010989192,0.00044337212,0.0073060077,0.000009585046,0.00008276111,0.000036287896,0.004280032,0.0054432545,0.00007221185,0.011732137,0.968965,0.0005304307],"about_ca_topic_score_codex":0.0000049047526,"about_ca_topic_score_gemma":0.0000014461219,"teacher_disagreement_score":0.6204836,"about_ca_system_score_codex":0.00012417305,"about_ca_system_score_gemma":0.000039463615,"threshold_uncertainty_score":0.99964136},"labels":[],"label_agreement":null},{"id":"W4232713980","doi":"10.21275/23111705","title":"Some Results on Invariant Submanifolds in an Indefinite Trans-Sasakian Manifold-II","year":2017,"lang":"en","type":"article","venue":"International Journal of Science and Research (IJSR)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Horizon College and Seminary","funders":"","keywords":"Invariant (physics); Pure mathematics; Invariant manifold; Mathematics; Manifold (fluid mechanics); Mathematical physics; Engineering","score_opus":0.17248950439479166,"score_gpt":0.44283553991625674,"score_spread":0.2703460355214651,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4232713980","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9869111,0.000094775234,0.000033632827,0.008028347,0.00040587227,0.000090072295,0.000012367354,0.000003887405,0.0044199373],"genre_scores_gemma":[0.9981001,0.00037236762,0.00048865064,0.00012299806,0.0004955624,0.0000020871562,0.0000010451312,0.000007767882,0.00040941028],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9949907,0.000121961595,0.0005934213,0.0003012859,0.003595442,0.00039717046],"domain_scores_gemma":[0.99662006,0.00032919343,0.00039231151,0.00039025315,0.0019977712,0.00027041172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.012902462,0.0001165587,0.00024375766,0.0021466124,0.00079681556,0.00095505506,0.0022687933,0.000086342036,0.000032834338],"category_scores_gemma":[0.0049322415,0.00008108465,0.000079353864,0.0006100087,0.000687147,0.0018780557,0.00027163583,0.0007030306,0.0000074546383],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0029128182,0.0042471904,0.030963734,0.00007303706,0.00041972587,0.004004944,0.016809618,0.00013633235,0.028065676,0.8281837,0.007343016,0.07684022],"study_design_scores_gemma":[0.0076203616,0.003057923,0.5924688,0.0012198433,0.00004792958,0.00041824626,0.0047945483,0.0038981908,0.0042591733,0.37172127,0.009847415,0.00064626976],"about_ca_topic_score_codex":0.00013407822,"about_ca_topic_score_gemma":0.00019519853,"teacher_disagreement_score":0.5615051,"about_ca_system_score_codex":0.00017134247,"about_ca_system_score_gemma":0.00043120512,"threshold_uncertainty_score":0.9209618},"labels":[],"label_agreement":null},{"id":"W4233470406","doi":"10.1016/j.geomphys.2013.04.002","title":"Constant curvature solutions of Grassmannian sigma models: (2) Non-holomorphic solutions","year":2013,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Holomorphic function; Grassmannian; Mathematics; Constant (computer programming); Curvature; Constant curvature; Sigma; Pure mathematics; Mean curvature; Mathematical analysis; Mathematical physics; Geometry; Physics; Quantum mechanics; Computer science","score_opus":0.057802158143910355,"score_gpt":0.26771328131174993,"score_spread":0.20991112316783958,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4233470406","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52661383,0.0032680328,0.46532926,0.001067656,0.00037908918,0.00029520137,0.0000728283,0.000020549594,0.002953534],"genre_scores_gemma":[0.992568,0.00027399373,0.0066220695,0.000068823865,0.00026674033,0.0000034610975,0.0000048011657,0.00001727549,0.00017479049],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998219,0.00007268527,0.00074703683,0.00014933714,0.00046882834,0.00034311743],"domain_scores_gemma":[0.9974457,0.000387308,0.00085509015,0.00028403863,0.0008397071,0.0001881568],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064528966,0.00020548118,0.00066063,0.00028500578,0.00021454673,0.00006333652,0.00023766496,0.00016169509,0.00011366317],"category_scores_gemma":[0.00022248803,0.00015719466,0.00035228662,0.001522535,0.00016953543,0.0006105008,0.00008741625,0.00056236866,0.0000060443285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001418106,0.004993023,0.0068755,0.0010782279,0.0051072217,0.00005898683,0.0036994044,0.0113834785,0.009540516,0.77780575,0.13518582,0.04413028],"study_design_scores_gemma":[0.0013097262,0.0005024221,0.0036372335,0.0002811253,0.0010824202,0.00014095151,0.001523561,0.027856953,0.0002827252,0.961654,0.0012561692,0.00047267665],"about_ca_topic_score_codex":0.000025902908,"about_ca_topic_score_gemma":0.000004298732,"teacher_disagreement_score":0.46595418,"about_ca_system_score_codex":0.000029197323,"about_ca_system_score_gemma":0.00009808182,"threshold_uncertainty_score":0.6410212},"labels":[],"label_agreement":null},{"id":"W4238982196","doi":"10.1007/s00199-009-0483-8","title":"Introduction","year":2009,"lang":"en","type":"article","venue":"Economic Theory","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Center for Interuniversity Research and Analysis on Organizations; Université de Montréal","funders":"","keywords":"Public finance; Economics","score_opus":0.0115591907262405,"score_gpt":0.2499931341019204,"score_spread":0.23843394337567989,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4238982196","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8599541,0.00033767484,0.01403434,0.004932934,0.0009763384,0.00014444778,0.0000033817669,0.00019175655,0.119425],"genre_scores_gemma":[0.98761725,0.000008826249,0.001318095,0.00018059133,0.0013787945,0.0000014757694,0.0000031643606,0.0000061128185,0.009485683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99954236,0.000035959572,0.00014969282,0.00014102274,0.000027915365,0.00010305583],"domain_scores_gemma":[0.9995765,0.00008168257,0.00006309508,0.00024110278,0.000008205901,0.000029410117],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005579727,0.00006496121,0.00013356074,0.000086178385,0.00003653137,0.00002281532,0.00008787059,0.000038238762,0.0033665518],"category_scores_gemma":[0.00011154997,0.00005655105,0.00007648533,0.00006578818,0.000012115669,0.000088409084,0.0000075178455,0.0000660028,0.00070016814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008812301,0.000022371745,0.00001513068,0.0000012052619,0.000021234435,3.3629584e-7,0.000065304004,0.000020852909,0.000048696238,0.91852623,0.0579691,0.023300732],"study_design_scores_gemma":[0.000102964616,0.000024279478,0.0006175023,0.0000010549791,0.000027494903,0.0000043453433,0.00010470158,0.00007776496,0.00022299364,0.93407327,0.06466245,0.00008117586],"about_ca_topic_score_codex":7.069913e-7,"about_ca_topic_score_gemma":0.0000013712138,"teacher_disagreement_score":0.12766314,"about_ca_system_score_codex":0.00004694204,"about_ca_system_score_gemma":0.000009582675,"threshold_uncertainty_score":0.9975445},"labels":[],"label_agreement":null},{"id":"W4240542696","doi":"10.1090/s0002-9947-09-04797-7","title":"Invariant Yang-Mills connections over non-reductive pseudo-Riemannian homogeneous spaces","year":2009,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Mathematics; Invariant (physics); Connection (principal bundle); Pure mathematics; Automorphism; Principal bundle; Vector bundle; Bundle; Mathematical analysis; Mathematical physics; Geometry","score_opus":0.016159053658105212,"score_gpt":0.2782879651539671,"score_spread":0.26212891149586187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4240542696","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5408854,0.000054782457,0.452534,0.0035009207,0.00010528772,0.00053206866,0.000048920927,0.00010927303,0.002229406],"genre_scores_gemma":[0.9533391,0.00005189448,0.044981625,0.000350872,0.000073614276,0.000027155134,0.0000014652422,0.000028807915,0.001145494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980185,0.00009996618,0.00058236934,0.0003409709,0.0005615003,0.0003966801],"domain_scores_gemma":[0.99776477,0.00059775217,0.00048582768,0.000833396,0.00016889782,0.00014933033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040924095,0.0003023406,0.00079052866,0.00008677027,0.0004087522,0.00006059654,0.00049849175,0.00010465225,0.000581343],"category_scores_gemma":[0.0002079674,0.00020417302,0.0012575072,0.0019980518,0.0005984001,0.0001396232,0.000020863703,0.00041406983,0.000026555226],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00067085034,0.03879476,0.0012576762,0.0024448147,0.023444401,0.00004824547,0.12399232,0.012080375,0.13374852,0.44574067,0.14069481,0.07708257],"study_design_scores_gemma":[0.0025864963,0.001719453,0.0120185455,0.0005286104,0.0062810904,0.00035713398,0.041908763,0.04078654,0.014569145,0.87486106,0.0020359703,0.002347216],"about_ca_topic_score_codex":0.00010577802,"about_ca_topic_score_gemma":0.000016256274,"teacher_disagreement_score":0.4291204,"about_ca_system_score_codex":0.00009539659,"about_ca_system_score_gemma":0.00007400537,"threshold_uncertainty_score":0.8325934},"labels":[],"label_agreement":null},{"id":"W4242265550","doi":"10.1002/9781119517566.ch19","title":"Semi‐Riemannian Manifolds","year":2019,"lang":"en","type":"other","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Ricci-flat manifold; Geodesic; Riemannian geometry; Curvature of Riemannian manifolds; Pure mathematics; Geodesic map; Manifold (fluid mechanics); Fundamental theorem of Riemannian geometry; Vector field; Mathematical analysis; Ricci curvature; Scalar curvature; Sectional curvature; Geometry","score_opus":0.023939158109885266,"score_gpt":0.2771380827676687,"score_spread":0.25319892465778343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4242265550","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000005053326,0.0005313471,0.00317368,0.000088588255,0.00031338833,0.00022791205,0.000011964988,0.00029610578,0.99535197],"genre_scores_gemma":[0.0002870868,0.000060055332,0.0042196475,0.00017563527,0.00043187002,0.0000075736366,0.000022362658,0.00048062173,0.99431515],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9988431,0.000023349157,0.00022199652,0.00032647836,0.00034729252,0.00023782953],"domain_scores_gemma":[0.99884874,0.00006784883,0.00020311521,0.0007847121,0.000027688613,0.00006788849],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00014620478,0.0002838156,0.00057032314,0.00044501183,0.0000159505,0.000044990626,0.00029244684,0.00047919186,0.045231886],"category_scores_gemma":[0.000065851884,0.0002060854,0.00025189813,0.00044426825,0.0000128708925,0.000019188532,0.000069023605,0.0001966677,0.006261645],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[5.014893e-7,0.000035338653,0.000036215955,0.00012705389,0.00020198074,0.0000050443055,0.000012467102,8.764442e-8,6.877404e-7,0.050337236,0.9488406,0.00040278243],"study_design_scores_gemma":[0.00012778223,0.000013643765,0.000008780799,0.000074729876,0.00017636802,0.0000027440453,0.000054124426,0.000021024727,0.000002602713,0.0033585464,0.9958829,0.00027673747],"about_ca_topic_score_codex":0.000108654545,"about_ca_topic_score_gemma":0.00021110555,"teacher_disagreement_score":0.04704231,"about_ca_system_score_codex":0.00001999956,"about_ca_system_score_gemma":0.000025736223,"threshold_uncertainty_score":0.9945121},"labels":[],"label_agreement":null},{"id":"W4243372172","doi":"10.4171/owr/2008/31","title":"Calculus of Variations","year":2009,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Calculus (dental); Mathematics; Medicine; Orthodontics","score_opus":0.030293290051938506,"score_gpt":0.30213147640394306,"score_spread":0.2718381863520046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4243372172","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51192474,0.0006896355,0.21322183,0.0013303455,0.0005936428,0.0005563777,0.0000099905965,0.00025621118,0.2714172],"genre_scores_gemma":[0.98991114,0.000004430156,0.0068771592,0.000056180244,0.000055185286,0.000003259679,0.000009019234,0.000006958769,0.0030766774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987399,0.000024604615,0.0005628874,0.0001862624,0.0003295205,0.00015682555],"domain_scores_gemma":[0.99882483,0.000072648974,0.0003865604,0.0004965357,0.00015435634,0.00006504094],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046332483,0.00010029715,0.00028294927,0.00014319622,0.000049905506,0.000016756525,0.00006986021,0.00007964457,0.00034022363],"category_scores_gemma":[0.0007495839,0.000082118786,0.00016892671,0.00068024895,0.000014147224,0.000075202115,0.000014994957,0.00009146872,0.0000072337507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015102071,0.0021980626,0.011115787,0.00010364332,0.0004808411,0.0007505416,0.0010625293,0.00017981257,0.004835205,0.8340868,0.08427843,0.06089326],"study_design_scores_gemma":[0.000752276,0.00043128617,0.15598387,0.00010948493,0.001202822,0.0009545986,0.00028564222,0.003100344,0.0063132723,0.74442935,0.0853566,0.0010804754],"about_ca_topic_score_codex":0.000029294879,"about_ca_topic_score_gemma":0.000008871777,"teacher_disagreement_score":0.47798637,"about_ca_system_score_codex":0.000019963776,"about_ca_system_score_gemma":0.00003715458,"threshold_uncertainty_score":0.37252104},"labels":[],"label_agreement":null},{"id":"W4248728688","doi":"10.1090/crmm/010/01","title":"Complex manifolds","year":2016,"lang":"en","type":"book-chapter","venue":"CRM monograph series","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Pure mathematics; Mathematics; Geology","score_opus":0.061417775293125615,"score_gpt":0.2704003815150663,"score_spread":0.20898260622194068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4248728688","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00013116188,0.0011692141,0.0008666032,0.00030816125,0.0002885575,0.000241678,0.00010546821,0.00022444512,0.9966647],"genre_scores_gemma":[0.009987428,0.0010772788,0.003010245,0.0001421656,0.0005558628,0.000023875145,0.00007952643,0.00015533387,0.9849683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9981326,0.000016317998,0.0005673195,0.0004757293,0.00045242588,0.00035559264],"domain_scores_gemma":[0.9982113,0.0001508243,0.00042198185,0.0008805032,0.00019749903,0.00013784342],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00019452162,0.00056108425,0.0008950516,0.0007008166,0.00017510595,0.00011516881,0.00041565672,0.00052997883,0.005667911],"category_scores_gemma":[0.00004355503,0.00040743823,0.00077725446,0.00016818657,0.0002355302,0.00017556523,0.00013920495,0.00029333745,0.00035660775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016970625,0.000017000946,0.00004940853,0.0000961865,0.00047000634,0.000021086813,0.000070773625,4.640325e-8,0.000011473527,0.946662,0.048575327,0.004009711],"study_design_scores_gemma":[0.00010429182,0.00004895519,0.000073656236,0.00009528462,0.0002450703,0.000010659138,0.00003334695,6.200799e-7,0.000007423931,0.48719653,0.5118412,0.0003429945],"about_ca_topic_score_codex":0.0000025701843,"about_ca_topic_score_gemma":0.000045361292,"teacher_disagreement_score":0.46326584,"about_ca_system_score_codex":0.000029786537,"about_ca_system_score_gemma":0.000028945264,"threshold_uncertainty_score":0.99983776},"labels":[],"label_agreement":null},{"id":"W4250570414","doi":"10.1090/crmp/029/15","title":"Bäcklund links between different analytic descriptions of constant mean curvature surfaces","year":2001,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Constant (computer programming); Mathematics; Mean curvature; Curvature; Mathematical analysis; Pure mathematics; Geometry; Computer science; Programming language","score_opus":0.057662961184286335,"score_gpt":0.27738404688247237,"score_spread":0.21972108569818605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4250570414","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.043928523,0.00997098,0.010031504,0.0013085217,0.00046381587,0.0015194061,0.00045812517,0.00045597082,0.9318631],"genre_scores_gemma":[0.9922151,0.00055815896,0.00049165136,0.000102657636,0.0008460037,0.000013954293,0.00016774598,0.0001883912,0.0054163225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958642,0.000014877866,0.0013272493,0.0009864025,0.0011479452,0.0006593407],"domain_scores_gemma":[0.9957091,0.0007603144,0.0015055136,0.0005092815,0.0012243061,0.00029149125],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.00045616715,0.0011603262,0.0024087809,0.0010200477,0.00025304582,0.00022746297,0.0007031563,0.002387731,0.0011476509],"category_scores_gemma":[0.0009732405,0.0008799135,0.000980212,0.00066455704,0.00029809965,0.00016375555,0.00017894385,0.0026997088,0.000024818873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055592704,0.00020345666,0.0066663967,0.0016186216,0.004057559,0.000017501532,0.0020941216,0.00001853644,0.00084761356,0.97494453,0.0026280035,0.00684808],"study_design_scores_gemma":[0.00044056453,0.00023196389,0.00052752165,0.0011963472,0.005572209,0.000021893007,0.00012277639,0.000096841024,0.00087825715,0.9654337,0.024320358,0.0011575384],"about_ca_topic_score_codex":0.000019338768,"about_ca_topic_score_gemma":0.0000953481,"teacher_disagreement_score":0.9482866,"about_ca_system_score_codex":0.0001918821,"about_ca_system_score_gemma":0.0001181277,"threshold_uncertainty_score":0.99976546},"labels":[],"label_agreement":null},{"id":"W4283689644","doi":"10.48550/arxiv.2206.13005","title":"Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; University of Toronto; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Geodesic; Uniqueness; Ricci curvature; Curvature; Physics; Convexity; Dimension (graph theory); Mathematical physics; Combinatorics; Mathematics; Mathematical analysis; Geometry","score_opus":0.08251685150714017,"score_gpt":0.22532065607958793,"score_spread":0.14280380457244776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4283689644","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9721029,0.00022283288,0.0076801935,0.0004263226,0.0015010423,0.00086397195,0.00032038006,0.00043432778,0.016448047],"genre_scores_gemma":[0.9853601,0.00016353498,0.00037595638,0.00021998251,0.00017723905,0.000004815488,0.0004998804,0.00006604364,0.013132487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99722916,0.00029091747,0.0003634423,0.0012602973,0.0003455609,0.00051065226],"domain_scores_gemma":[0.99701726,0.00038309174,0.0005846612,0.0015470702,0.00020282019,0.0002650791],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00038715775,0.0005756627,0.00077513943,0.000919206,0.00044428217,0.000110479654,0.0008834094,0.0004762686,0.0059724],"category_scores_gemma":[0.00020531708,0.00060695305,0.0007474195,0.0016009895,0.000092482325,0.00013452636,0.0011360521,0.0017681263,0.0003698548],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018152659,0.0013424244,0.0043973518,0.00024090042,0.0015335917,0.0008678913,0.0004006862,0.112389565,0.0001028155,0.7801647,0.09827549,0.00010302472],"study_design_scores_gemma":[0.00403799,0.0007035915,0.0043176473,0.00057067623,0.0059589334,0.000021112992,0.0031177988,0.08700101,0.00035771824,0.7897631,0.100091,0.004059452],"about_ca_topic_score_codex":0.00013552871,"about_ca_topic_score_gemma":0.00006829004,"teacher_disagreement_score":0.025388556,"about_ca_system_score_codex":0.00054377667,"about_ca_system_score_gemma":0.00016714974,"threshold_uncertainty_score":0.9996382},"labels":[],"label_agreement":null},{"id":"W4285263547","doi":"10.55730/1300-0098.3271","title":"On properties of the Reeb vector field of $(\\alpha,\\beta)$ trans-Sasakian structure","year":2022,"lang":"en","type":"article","venue":"TURKISH JOURNAL OF MATHEMATICS","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Waterloo","keywords":"Mathematics; Submanifold; Vector field; Geodesic; Unit tangent bundle; Riemannian manifold; Pure mathematics; Mathematical analysis; Normal bundle; BETA (programming language); Tangent bundle; Manifold (fluid mechanics); Vector bundle; Tangent space; Geometry","score_opus":0.030274447215825305,"score_gpt":0.2583308629845247,"score_spread":0.22805641576869937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4285263547","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9964196,0.0005969422,0.0009265957,0.00081793993,0.00032450247,0.00021661245,0.000035444755,0.000007424179,0.0006549478],"genre_scores_gemma":[0.99582106,0.000016286052,0.003626882,0.000101948695,0.00007796337,0.0000024838926,5.6528063e-7,0.00002574879,0.00032706623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971899,0.0001680872,0.0011505977,0.000106530046,0.0012041584,0.00018072521],"domain_scores_gemma":[0.9970654,0.00049026625,0.0016012901,0.0004882894,0.00029805693,0.00005665136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095475104,0.00019036607,0.0007457117,0.00024172821,0.00012376317,0.000018849145,0.00079262495,0.00008246178,0.00078997744],"category_scores_gemma":[0.0008713509,0.00010879168,0.0005462885,0.00074087566,0.0000657931,0.00007386167,0.00009707316,0.000649777,5.6066904e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0017258757,0.015139755,0.0030819578,0.015262297,0.009752037,0.0001694674,0.11680938,0.009401126,0.22809692,0.41363108,0.17260255,0.0143275345],"study_design_scores_gemma":[0.0053929794,0.0051836893,0.0015783736,0.003252908,0.0045085824,0.0011898181,0.031889535,0.0022799198,0.41436812,0.5215514,0.007419356,0.001385338],"about_ca_topic_score_codex":0.0000049710866,"about_ca_topic_score_gemma":0.000007664292,"teacher_disagreement_score":0.1862712,"about_ca_system_score_codex":0.000045867742,"about_ca_system_score_gemma":0.0001042832,"threshold_uncertainty_score":0.8649699},"labels":[],"label_agreement":null},{"id":"W4285687726","doi":"10.48550/arxiv.2004.11754","title":"Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Research Foundation of Korea; University of Toronto; National Research Foundation; Pohang University of Science and Technology; National Science Foundation","keywords":"Cylinder; Uniqueness; Bounded function; Mathematics; Curvature; Regular polygon; Section (typography); Flow (mathematics); Gauss; Mathematical analysis; Soliton; Mean curvature flow; Geometry; Cross section (physics); Mean curvature; Physics; Computer science","score_opus":0.16463875571865946,"score_gpt":0.23447746606069,"score_spread":0.06983871034203054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4285687726","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36649716,0.00010865507,0.6287069,0.00083116465,0.00044784942,0.0008685654,0.00017657285,0.0001480161,0.0022151298],"genre_scores_gemma":[0.990137,0.000024785262,0.007772196,0.0005629157,0.00011512053,0.0000040888544,0.00004522782,0.00004470367,0.0012939647],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9975457,0.00015924696,0.00043123096,0.0010879434,0.00025668362,0.0005191828],"domain_scores_gemma":[0.9971192,0.0002024963,0.00032157547,0.0012347584,0.00058680354,0.0005351488],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00043202308,0.00044898991,0.000899293,0.00077006646,0.00013823784,0.0000511331,0.0010275111,0.00048224741,0.0001960459],"category_scores_gemma":[0.00060733646,0.0004710947,0.0005434732,0.0036491419,0.000057729605,0.00008626705,0.0015690931,0.0007595503,0.00012724657],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020049672,0.000819895,0.0023186826,0.00092189113,0.0014092082,0.00024692982,0.0020677054,0.70691943,0.0005850435,0.25032562,0.033752687,0.0004324346],"study_design_scores_gemma":[0.0036245056,0.0011376796,0.02654153,0.0026537313,0.009137047,0.000020928359,0.004365435,0.46625268,0.0016358477,0.43714842,0.040901385,0.0065807994],"about_ca_topic_score_codex":0.00009698272,"about_ca_topic_score_gemma":0.00020172955,"teacher_disagreement_score":0.6236398,"about_ca_system_score_codex":0.00027783302,"about_ca_system_score_gemma":0.00029408938,"threshold_uncertainty_score":0.9997741},"labels":[],"label_agreement":null},{"id":"W4286714348","doi":"10.55937/sut/1570358243","title":"Characterization of the Lorentzian para-Sasakian manifolds admitting a quarter-symmetric non-metric connection","year":2019,"lang":"en","type":"article","venue":"SUT Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Mathematics; Quarter (Canadian coin); Metric (unit); Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Fundamental theorem of Riemannian geometry; Ricci curvature; Topology (electrical circuits); Combinatorics; Geometry","score_opus":0.020551940134499083,"score_gpt":0.2604163460025847,"score_spread":0.2398644058680856,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4286714348","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9689831,0.00007830805,0.02882135,0.00015200117,0.0005689626,0.00031231533,0.0000075225303,0.000011204038,0.0010652138],"genre_scores_gemma":[0.9924354,0.00003619395,0.006800446,0.00003357448,0.00018542554,0.000002403771,0.0000032241799,0.000032905493,0.00047045376],"study_design_codex":"bench_or_experimental","study_design_gemma":"observational","domain_scores_codex":[0.997081,0.00012412899,0.0014569617,0.00015174004,0.0009262086,0.0002599573],"domain_scores_gemma":[0.9952322,0.00061522657,0.0029567028,0.0004981977,0.0006029943,0.000094667215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018438982,0.0002298226,0.000769211,0.0011052395,0.000082530845,0.00006862692,0.0005058682,0.00015738599,0.00024270799],"category_scores_gemma":[0.0013068434,0.0001473273,0.0005424118,0.0034789739,0.00003001049,0.0002708708,0.000065733286,0.0003676318,0.000026933174],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004254497,0.019816868,0.33468843,0.018747091,0.0092960205,0.00011931102,0.043862537,0.0007735996,0.35604918,0.16369307,0.007863201,0.044665273],"study_design_scores_gemma":[0.020212717,0.008303004,0.40993702,0.011558638,0.011387581,0.0031188417,0.05967338,0.10040335,0.15816256,0.20610096,0.006074617,0.005067318],"about_ca_topic_score_codex":0.000004033908,"about_ca_topic_score_gemma":0.0000038619282,"teacher_disagreement_score":0.1978866,"about_ca_system_score_codex":0.000081402824,"about_ca_system_score_gemma":0.00008416116,"threshold_uncertainty_score":0.6007833},"labels":[],"label_agreement":null},{"id":"W4287548920","doi":"10.1002/cpa.22114","title":"Existence of constant mean curvature 2‐Spheres in Riemannian 3‐spheres","year":2023,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"SPHERES; Mathematics; Mean curvature; Curvature; Mathematical analysis; Constant (computer programming); Mean curvature flow; Upper and lower bounds; Constant-mean-curvature surface; Geometry; Physics","score_opus":0.07681197534063065,"score_gpt":0.3246403380436467,"score_spread":0.24782836270301606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4287548920","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7709765,0.0032779733,0.004573007,0.002390515,0.00009537576,0.0020100742,0.00011979491,0.0005317669,0.21602504],"genre_scores_gemma":[0.9090302,0.0005695517,0.08974822,0.00007779866,0.000015205764,0.00009296577,0.000031342646,0.000033739183,0.00040097334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985278,0.00005136562,0.00064423453,0.00022526144,0.00030899904,0.00024233156],"domain_scores_gemma":[0.9964695,0.0012588509,0.00031878063,0.0017915831,0.00009014129,0.00007115059],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004748192,0.00021707536,0.0005437028,0.0002553838,0.00014198906,0.00004607432,0.00078516384,0.0001587058,0.00008030014],"category_scores_gemma":[0.00029548458,0.00017869871,0.0000897533,0.001715201,0.00024490574,0.000054422242,0.00031257072,0.0003621052,0.00003509027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000787936,0.0004125297,0.0002892007,0.0002986097,0.000072946015,0.0000014695436,0.0020923188,0.00001552656,0.0002940223,0.98789984,0.0048814104,0.0037342214],"study_design_scores_gemma":[0.0007271745,0.00006749826,0.0002987911,0.00047448018,0.00017942146,0.000005691413,0.038379654,0.0025454187,0.00063118455,0.95095146,0.005306316,0.0004329119],"about_ca_topic_score_codex":0.000009002171,"about_ca_topic_score_gemma":0.0006248933,"teacher_disagreement_score":0.21562406,"about_ca_system_score_codex":0.000020096353,"about_ca_system_score_gemma":0.000033751065,"threshold_uncertainty_score":0.7287122},"labels":[],"label_agreement":null},{"id":"W4289305405","doi":"10.48550/arxiv.1811.01505","title":"From the Nash--Kuiper Theorem of Isometric Embeddings to the Euler Equations for Steady Fluid Motions: Analogues, Examples, and Extensions","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Montréal; Concordia University; Centre de Recherches Mathématiques; McGill University","keywords":"Torus; Euler equations; Embedding; Isometric exercise; Compressibility; Euler's formula; Physics; Surface (topology); Mathematics; Mathematical analysis; Classical mechanics; Geometry; Mechanics; Computer science","score_opus":0.15420506823769395,"score_gpt":0.2477719821379969,"score_spread":0.09356691390030294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4289305405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50523186,0.0006413757,0.4909216,0.00052152533,0.00033058907,0.001066048,0.0008326673,0.000055212262,0.0003991428],"genre_scores_gemma":[0.99455386,0.00027294006,0.0032696002,0.0001662802,0.0002913135,0.000010627342,0.0001742745,0.000035315832,0.0012257629],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980868,0.00023573235,0.00041470403,0.00076019164,0.00019135904,0.00031119317],"domain_scores_gemma":[0.9931938,0.004032886,0.00043425814,0.0014669123,0.0007415386,0.00013059805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010736964,0.00033282264,0.00056313054,0.0006225109,0.00047391374,0.00009769745,0.00097437634,0.00028184406,0.00020207146],"category_scores_gemma":[0.0032709755,0.00021788632,0.00039214027,0.0025839524,0.00023089677,0.0001074252,0.00087022065,0.00038074923,0.000032238375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012276886,0.0007347899,0.0032432412,0.00020372646,0.0029168345,0.000013945184,0.005901638,0.018890727,0.00019527574,0.86935043,0.09660618,0.0018204476],"study_design_scores_gemma":[0.0012482535,0.0002625317,0.012839945,0.0004753588,0.005230267,0.0000036245187,0.0100712115,0.12822068,0.00006856643,0.8233084,0.017192757,0.0010783992],"about_ca_topic_score_codex":0.00056822004,"about_ca_topic_score_gemma":0.00041265733,"teacher_disagreement_score":0.48932204,"about_ca_system_score_codex":0.00008363443,"about_ca_system_score_gemma":0.000094605035,"threshold_uncertainty_score":0.88851464},"labels":[],"label_agreement":null},{"id":"W4289709057","doi":"10.48550/arxiv.1808.01536","title":"Displacement convexity of Boltzmann's entropy characterizes the strong\\n energy condition from general relativity","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Geodesic; Convexity; Mathematics; Ricci curvature; Scalar curvature; Curvature; Entropy (arrow of time); Lorentz transformation; Manifold (fluid mechanics); Hawking; Mathematical analysis; Mathematical physics; Physics; Classical mechanics; Geometry; Quantum mechanics","score_opus":0.07689370701076383,"score_gpt":0.2179438542899865,"score_spread":0.14105014727922266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4289709057","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84985346,0.000052085317,0.1481302,0.000069781396,0.00039233986,0.00020073992,0.0003226293,0.00004380461,0.0009349863],"genre_scores_gemma":[0.99586195,0.00015988496,0.00029625455,0.00004122846,0.0002786137,0.000002497463,0.00042545423,0.000023937033,0.002910203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980287,0.00037106406,0.00039391188,0.00070665556,0.00021051995,0.00028917505],"domain_scores_gemma":[0.9971981,0.00035974928,0.00096064596,0.0011170786,0.00025961644,0.0001047929],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00038056742,0.0003705212,0.0006766468,0.00019016498,0.00016684257,0.00005106794,0.0006710066,0.00036531838,0.0010425837],"category_scores_gemma":[0.000115764655,0.00030204025,0.0004727291,0.00041301176,0.00030700324,0.00015786753,0.0007284324,0.0004662263,0.000023698827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040228383,0.0009057287,0.029409472,0.00019541719,0.0032275934,0.0000625126,0.0005644236,0.003423903,0.0007927407,0.9538542,0.0068830373,0.0002786741],"study_design_scores_gemma":[0.0024862587,0.00030213027,0.04601973,0.00034388175,0.0043540173,0.0000019949307,0.000736655,0.16761859,0.003248767,0.76620907,0.0071901605,0.0014887525],"about_ca_topic_score_codex":0.0007968591,"about_ca_topic_score_gemma":0.00015696848,"teacher_disagreement_score":0.18764515,"about_ca_system_score_codex":0.00016518176,"about_ca_system_score_gemma":0.000089206886,"threshold_uncertainty_score":0.9999432},"labels":[],"label_agreement":null},{"id":"W4292463003","doi":"","title":"Fonctions de couplage et chaînage des courbes de Gray surfaciques à centre","year":2022,"lang":"fr","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Humanities; Physics; Gray (unit); Art; Medicine","score_opus":0.02281651424305797,"score_gpt":0.26311609887414117,"score_spread":0.2402995846310832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4292463003","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3948843,0.008700421,0.47542578,0.023101876,0.00050826225,0.0009993174,0.0006400479,0.0005755987,0.095164426],"genre_scores_gemma":[0.6765187,0.010088919,0.17959388,0.00036692302,0.00007106131,0.00018833087,0.001480388,0.00018199143,0.13150986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9821542,0.013583841,0.0011041481,0.0011425075,0.00093111803,0.0010841677],"domain_scores_gemma":[0.98774594,0.005287,0.0010605399,0.0028641387,0.0025107623,0.00053159567],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.017699778,0.0007475843,0.0009758136,0.0005013776,0.0014071534,0.0008901971,0.0018974097,0.00060693437,0.005839996],"category_scores_gemma":[0.0061012283,0.00083018956,0.0008548776,0.001705198,0.0005549139,0.00029667284,0.0018693476,0.0019535266,0.000113401504],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030813873,0.0043728845,0.034591842,0.0011034574,0.0010817138,0.00006212242,0.07066833,0.0022175494,0.001836324,0.85053504,0.014350457,0.019149456],"study_design_scores_gemma":[0.0020012008,0.000004504199,0.03433035,0.005086229,0.0020790931,0.00014982471,0.013097038,0.08159359,0.015429618,0.1753372,0.6679904,0.0029009522],"about_ca_topic_score_codex":0.0064503774,"about_ca_topic_score_gemma":0.016403161,"teacher_disagreement_score":0.67519784,"about_ca_system_score_codex":0.0010564153,"about_ca_system_score_gemma":0.00089481927,"threshold_uncertainty_score":0.9998929},"labels":[],"label_agreement":null},{"id":"W4292703475","doi":"10.48550/arxiv.1306.3104","title":"The Logarithmic Singularities of the Green Functions of the Conformal Powers of the Laplacian","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Seoul National University","keywords":"Conformal map; Laplace operator; Gravitational singularity; Mathematics; Logarithm; Pure mathematics; Extremal length; Conformal geometry; Einstein; Metric (unit); Function (biology); Mathematical analysis; Conformal symmetry; Mathematical physics","score_opus":0.05504985412599127,"score_gpt":0.18200339912633826,"score_spread":0.126953545000347,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4292703475","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9846524,0.00011688608,0.0015427073,0.00045913082,0.00076546933,0.00064893794,0.00010053276,0.000016747757,0.011697193],"genre_scores_gemma":[0.9816555,0.00004131137,0.000025719728,0.00003367676,0.000032324882,0.0000010189392,0.0000025360623,0.000013560025,0.018194357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986189,0.00024261608,0.00041165884,0.00024703803,0.0002563077,0.00022345879],"domain_scores_gemma":[0.9964069,0.00036709427,0.0010669593,0.0016809462,0.00044226577,0.00003580279],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000465405,0.00022894435,0.00042143327,0.00012123017,0.00037841484,0.000028087654,0.0018452916,0.00026699033,0.00010157407],"category_scores_gemma":[0.0002961967,0.00010964425,0.0008764003,0.0010494497,0.00083776633,0.00007662805,0.0014092717,0.00068273087,0.0000040614514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000102143815,0.000442777,0.05593404,0.00084180915,0.0030043272,0.000003098554,0.003348297,0.02440808,0.00019442293,0.90425557,0.006856931,0.00060850824],"study_design_scores_gemma":[0.0033569862,0.0002697846,0.19004542,0.0019616517,0.01070807,0.000021543061,0.05099788,0.046973858,0.0034934788,0.66326374,0.027005881,0.0019016875],"about_ca_topic_score_codex":0.0010885366,"about_ca_topic_score_gemma":0.0009082941,"teacher_disagreement_score":0.2409918,"about_ca_system_score_codex":0.00006868788,"about_ca_system_score_gemma":0.00022203824,"threshold_uncertainty_score":0.4471163},"labels":[],"label_agreement":null},{"id":"W4295135571","doi":"","title":"Quarter-symmetric metric connection on a Lorentzian α-Sasakian manifold","year":2017,"lang":"en","type":"article","venue":"DergiPark (Istanbul University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Metric (unit); Manifold (fluid mechanics); Mathematics; Pure mathematics; Quarter (Canadian coin); Pseudo-Riemannian manifold; Mathematical analysis; Topology (electrical circuits); Physics; Geometry; Combinatorics; Fundamental theorem of Riemannian geometry; Geography; Engineering; Ricci curvature","score_opus":0.03675282229711776,"score_gpt":0.2609824560851281,"score_spread":0.22422963378801034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4295135571","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49315408,0.00011141439,0.012289851,0.00095840474,0.0008183879,0.0004622516,0.000036055117,0.00028417935,0.4918854],"genre_scores_gemma":[0.9826191,0.000049702674,0.0007740711,0.00006244164,0.00013851964,0.0000012553588,0.000014058055,0.000029114986,0.01631175],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.998022,0.000117633754,0.00028178,0.0005734966,0.00054358965,0.00046150805],"domain_scores_gemma":[0.9973356,0.0003929733,0.0005276561,0.001304771,0.00020497217,0.00023404052],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00039076534,0.00031619318,0.00048526935,0.0026046191,0.0010395612,0.00031017774,0.00089322275,0.00021147614,0.00044800824],"category_scores_gemma":[0.0009193445,0.00031777736,0.0003625523,0.0026586864,0.00007238807,0.0004459571,0.0001376935,0.0003344731,0.00024702927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023812697,0.0008736279,0.0061432957,0.000109473134,0.00072495197,0.00072977657,0.00045879354,0.00003490984,0.00006525228,0.9431352,0.041421976,0.0060646194],"study_design_scores_gemma":[0.008153126,0.0015205131,0.08044356,0.0002449331,0.002206787,0.000067128334,0.012741302,0.0027475313,0.000871183,0.03960499,0.84885514,0.002543808],"about_ca_topic_score_codex":0.00021920216,"about_ca_topic_score_gemma":0.0003953158,"teacher_disagreement_score":0.9035302,"about_ca_system_score_codex":0.00031668344,"about_ca_system_score_gemma":0.000049962528,"threshold_uncertainty_score":0.9999274},"labels":[],"label_agreement":null},{"id":"W4295868852","doi":"10.56424/jts.v11i01.10582","title":"On Weak Concircular Symmetries of Para-Sasakian Manifold admitting Quarter-symmetric Metric Connection","year":2007,"lang":"en","type":"article","venue":"Journal of the Tensor Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Homogeneous space; Connection (principal bundle); Quarter (Canadian coin); Mathematics; Manifold (fluid mechanics); Pure mathematics; Metric (unit); Physics; Mathematical analysis; Geometry; Geography; Economics; Engineering; Archaeology","score_opus":0.032249201020182916,"score_gpt":0.29141530907112617,"score_spread":0.25916610805094326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4295868852","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97526145,0.0014658741,0.0193449,0.0007060063,0.0007441928,0.0002265948,0.0000058558935,0.000025486965,0.002219633],"genre_scores_gemma":[0.99386257,0.0000756931,0.0050070295,0.00031376362,0.0003087233,8.741559e-7,5.0697616e-7,0.000026828448,0.00040400538],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9968085,0.00015499083,0.0012678882,0.00018700823,0.0012162485,0.00036531326],"domain_scores_gemma":[0.9937796,0.0024370463,0.0022001602,0.00043845148,0.001010466,0.00013428385],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0047200522,0.0002400504,0.0007552078,0.0007227805,0.00021746792,0.000053289325,0.00051024865,0.00022794565,0.00006909627],"category_scores_gemma":[0.005928642,0.00014927724,0.0017212005,0.0057420474,0.00006739109,0.00015768118,0.000053671476,0.00070186815,0.0000064879237],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00095871504,0.0076616616,0.14509587,0.0020781502,0.019939369,0.0001493755,0.012871635,0.0013229037,0.019185275,0.39064392,0.36985573,0.030237371],"study_design_scores_gemma":[0.018707504,0.008026168,0.5551211,0.00231042,0.014150623,0.0018921262,0.12986839,0.0069984067,0.08271589,0.14164141,0.034919806,0.0036481384],"about_ca_topic_score_codex":0.000018734105,"about_ca_topic_score_gemma":0.000005035149,"teacher_disagreement_score":0.41002527,"about_ca_system_score_codex":0.00021876558,"about_ca_system_score_gemma":0.00006636639,"threshold_uncertainty_score":0.7097566},"labels":[],"label_agreement":null},{"id":"W4296251032","doi":"10.56947/gjom.v12i2.605","title":"Contact CR-submanifolds of trans-Sasakian manifolds with respect to quarter symmetric non-metric connection","year":2022,"lang":"en","type":"article","venue":"Gulf Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"University Grants Commission","keywords":"Connection (principal bundle); Metric (unit); Metric connection; Mathematics; Pure mathematics; Quarter (Canadian coin); Geodesic; Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Ricci curvature; Engineering","score_opus":0.021404415278205614,"score_gpt":0.2634640165342232,"score_spread":0.24205960125601758,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4296251032","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7636197,0.0003594566,0.23055066,0.00043957372,0.00035820174,0.0005667979,0.000030360048,0.000028818744,0.004046381],"genre_scores_gemma":[0.9618638,0.000024350878,0.037373565,0.000080996724,0.0001576762,0.000016564974,0.0000024038322,0.000060712235,0.00041993425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955535,0.0001961033,0.0017340397,0.00025144388,0.0018582935,0.00040662062],"domain_scores_gemma":[0.99560595,0.0011102516,0.0018016467,0.0005723302,0.0006713643,0.00023845874],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0031806454,0.00034341516,0.0012735223,0.0030900696,0.0002075065,0.00007619636,0.00067929586,0.00010606504,0.0008955368],"category_scores_gemma":[0.00073043373,0.00025936516,0.00053792837,0.006083501,0.000026442971,0.0002050718,0.00007789487,0.0005850725,0.000012009496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00630772,0.047714233,0.022185901,0.012270206,0.025191465,0.004147681,0.11412217,0.02221261,0.032845434,0.40294376,0.2778603,0.032198522],"study_design_scores_gemma":[0.04759286,0.09760003,0.03736926,0.004736708,0.024387987,0.024096236,0.27106962,0.01931352,0.026838787,0.3845156,0.052927345,0.009552052],"about_ca_topic_score_codex":0.000017652255,"about_ca_topic_score_gemma":0.000023657216,"teacher_disagreement_score":0.22493297,"about_ca_system_score_codex":0.0002461378,"about_ca_system_score_gemma":0.00014342912,"threshold_uncertainty_score":0.9999859},"labels":[],"label_agreement":null},{"id":"W4296608948","doi":"10.1007/s12220-022-01041-8","title":"Regularity of Critical Points of the Volume Functional for Lagrangian Submanifolds","year":2022,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lagrangian; Differential geometry; Mathematics; Hamiltonian (control theory); Mathematical analysis; Partial differential equation; Mathematical optimization","score_opus":0.03457035432352551,"score_gpt":0.28637851220321336,"score_spread":0.25180815787968786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4296608948","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6948057,0.0017095421,0.29961893,0.0024406358,0.0005465434,0.0002287483,0.0001878146,0.000008424339,0.0004536872],"genre_scores_gemma":[0.9935339,0.000011533373,0.0050514247,0.00005269354,0.000115838564,0.0000054802827,0.000006668642,0.00001346201,0.001209009],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9962321,0.00025958137,0.0013794543,0.00018048202,0.0017080071,0.00024036701],"domain_scores_gemma":[0.99485236,0.0014659414,0.0016457968,0.0004612109,0.001472125,0.000102587604],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0038631116,0.0001543092,0.0010487882,0.003923708,0.00023135434,0.00002037118,0.0006213266,0.000086129905,0.002094157],"category_scores_gemma":[0.005841687,0.00010746623,0.002650138,0.020241858,0.00011158629,0.0001223032,0.00016907064,0.00037533278,7.5449515e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001332542,0.011679335,0.6624079,0.0013735981,0.05263131,0.00004283093,0.0012578239,0.022320176,0.0013506555,0.09717823,0.13815165,0.010273949],"study_design_scores_gemma":[0.004381237,0.0022443465,0.7566139,0.00006132049,0.08074274,0.00021371957,0.0059596705,0.018416781,0.001441512,0.10947806,0.019510133,0.00093657395],"about_ca_topic_score_codex":0.000038653234,"about_ca_topic_score_gemma":0.000017065764,"teacher_disagreement_score":0.2987282,"about_ca_system_score_codex":0.00012366283,"about_ca_system_score_gemma":0.00013398584,"threshold_uncertainty_score":0.99881804},"labels":[],"label_agreement":null},{"id":"W4296730022","doi":"10.28924/2291-8639-20-2022-47","title":"Evolutes of Fronts in de Sitter and Hyperbolic Spheres","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Islamic University of Madinah","keywords":"Mathematics; SPHERES; Differential geometry; Immersion (mathematics); Front (military); Mathematical analysis; Geometry; Physics","score_opus":0.01149143958231856,"score_gpt":0.2941832029094936,"score_spread":0.28269176332717505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4296730022","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97239876,0.0011941369,0.025507368,0.0005325667,0.000017898828,0.00004487446,0.000018242126,0.000001932394,0.0002842262],"genre_scores_gemma":[0.99401647,0.00018338159,0.005549563,0.0000628021,0.000068087655,0.000011635071,0.000003919887,0.0000036439671,0.00010052072],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9991125,0.0000439402,0.0003968773,0.00008357773,0.00030100936,0.00006208833],"domain_scores_gemma":[0.99920857,0.00016041055,0.00034327296,0.000081378304,0.00016816695,0.000038219514],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036026735,0.000054169035,0.00024427718,0.000587836,0.000039959294,0.000023129138,0.00019278553,0.000018420456,0.00028710786],"category_scores_gemma":[0.000058118498,0.000046590914,0.00013360626,0.00068933936,0.000026614525,0.000062333645,0.00007396701,0.00011976324,2.3716623e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000065785105,0.0010052238,0.9126662,0.00002289541,0.004831037,0.000015090109,0.0010791564,0.0027226284,0.0025712517,0.028576514,0.0018676843,0.044576548],"study_design_scores_gemma":[0.00205728,0.00017282083,0.75530845,0.000038593596,0.0040122936,0.00021281808,0.007541721,0.013193892,0.00043878247,0.17698038,0.039645728,0.00039724348],"about_ca_topic_score_codex":0.000096424556,"about_ca_topic_score_gemma":0.00013202117,"teacher_disagreement_score":0.15735774,"about_ca_system_score_codex":0.000037871265,"about_ca_system_score_gemma":0.000024307134,"threshold_uncertainty_score":0.31436297},"labels":[],"label_agreement":null},{"id":"W4297725983","doi":"10.48550/arxiv.2209.03802","title":"Timelike Ricci bounds for low regularity spacetimes by optimal transport","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Austrian Science Fund; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Minkowski space; Uniqueness; Ricci curvature; Geodesic; Bounded function; Spacetime; Closed timelike curve; Dimension (graph theory); Pure mathematics; Mathematical physics; Physics; Mathematics; Mathematical analysis; Curvature; Geometry","score_opus":0.06697840989615549,"score_gpt":0.21206826430728273,"score_spread":0.14508985441112726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297725983","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6678892,0.0004037859,0.3223002,0.00021333813,0.00055638154,0.0011602357,0.00087143824,0.00031729575,0.0062881624],"genre_scores_gemma":[0.9389366,0.00015247882,0.004293709,0.00006387413,0.00012049243,0.000011526344,0.0007283893,0.00007833803,0.055614628],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99742043,0.0001252931,0.00040051967,0.0012562862,0.00024703125,0.000550431],"domain_scores_gemma":[0.9975495,0.00028947415,0.00047925295,0.0012366915,0.00022553853,0.00021959795],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007286038,0.00053352874,0.00093901745,0.00043585672,0.00037907105,0.00007451226,0.0010611446,0.0005267525,0.0022315441],"category_scores_gemma":[0.00011970299,0.00060738163,0.001045649,0.0011212358,0.00011971347,0.00015356381,0.0005069125,0.0009604355,0.000022042232],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012039694,0.004272653,0.013602226,0.0031707564,0.006245514,0.0007044458,0.001493792,0.23303139,0.00014872619,0.2853639,0.45004192,0.00072068506],"study_design_scores_gemma":[0.0067347963,0.0007900848,0.002017006,0.0003191948,0.010445548,0.000018460107,0.0031146829,0.2858857,0.0005127268,0.3801606,0.30419233,0.0058088843],"about_ca_topic_score_codex":0.00013915515,"about_ca_topic_score_gemma":0.000050099225,"teacher_disagreement_score":0.3180065,"about_ca_system_score_codex":0.00032192547,"about_ca_system_score_gemma":0.0002152214,"threshold_uncertainty_score":0.9996378},"labels":[],"label_agreement":null},{"id":"W4297731934","doi":"10.56424/jts.v8i01.10559","title":"Quarter-Symmetric Metric Connection in P-Sasakian Manifold","year":2007,"lang":"en","type":"article","venue":"Journal of the Tensor Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Quarter (Canadian coin); Mathematics; Metric (unit); Manifold (fluid mechanics); Mathematical analysis; Pure mathematics; Topology (electrical circuits); Geometry; Combinatorics; Fundamental theorem of Riemannian geometry; Geography; Engineering","score_opus":0.026074328996841336,"score_gpt":0.2879536288107624,"score_spread":0.2618792998139211,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297731934","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9849336,0.0008118458,0.009694746,0.0012120663,0.00076607364,0.00015101949,0.0000014442622,0.000016544609,0.002412652],"genre_scores_gemma":[0.9926144,0.000065913686,0.0060007926,0.00028180826,0.00032550594,5.842855e-7,1.9217448e-7,0.000015364461,0.000695457],"study_design_codex":"not_applicable","study_design_gemma":"observational","domain_scores_codex":[0.9980161,0.00008868528,0.00081118784,0.00012132322,0.00066895696,0.00029372307],"domain_scores_gemma":[0.9978063,0.0006972418,0.0008442811,0.00026953514,0.000298476,0.00008415886],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003736461,0.00014516086,0.00041337605,0.00055484433,0.00010459621,0.000047062906,0.0003889405,0.0001597132,0.00007503647],"category_scores_gemma":[0.0012441019,0.000086836946,0.0009578077,0.005470472,0.000023648156,0.00015286975,0.00004177162,0.0006257044,0.000007717098],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003511324,0.0036805505,0.346959,0.00049063185,0.0039198273,0.00022668472,0.012060684,0.00062142324,0.004849906,0.048896868,0.54133993,0.03660334],"study_design_scores_gemma":[0.0051581846,0.00063434563,0.8810394,0.00024181367,0.0013507016,0.00070882216,0.025394602,0.0018620752,0.0022955765,0.05802518,0.02247441,0.00081491447],"about_ca_topic_score_codex":0.000025255395,"about_ca_topic_score_gemma":0.000040698018,"teacher_disagreement_score":0.5340804,"about_ca_system_score_codex":0.00024996873,"about_ca_system_score_gemma":0.00003549404,"threshold_uncertainty_score":0.3541108},"labels":[],"label_agreement":null},{"id":"W4297731950","doi":"10.56424/jts.v8i01.10557","title":"Characterization of Quarter Symmetric Non-Metric Connection on Transversal Hypersurfaces of Lorentzian para-Sasakian Manifolds","year":2007,"lang":"en","type":"article","venue":"Journal of the Tensor Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Transversal (combinatorics); Metric connection; Connection (principal bundle); Mathematics; Metric (unit); Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Characterization (materials science); Product (mathematics); Quarter (Canadian coin); Geometry; Physics; Fundamental theorem of Riemannian geometry; Optics; Scalar curvature","score_opus":0.023659758374550477,"score_gpt":0.268068015701043,"score_spread":0.24440825732649252,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297731950","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9895919,0.00006637701,0.009214192,0.0002983002,0.0003737891,0.00013405479,0.000009570919,0.0000059817894,0.00030586316],"genre_scores_gemma":[0.9979792,0.0000810231,0.0015319372,0.00006964402,0.00015111339,4.2704977e-7,0.0000016938878,0.00001610019,0.00016885392],"study_design_codex":"bench_or_experimental","study_design_gemma":"observational","domain_scores_codex":[0.9979602,0.00007062878,0.0008929724,0.00011646187,0.00076345576,0.00019625758],"domain_scores_gemma":[0.9972968,0.00038020336,0.001542997,0.00024271596,0.0004698009,0.00006749169],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015699089,0.00015858618,0.0005252406,0.00043044004,0.000078749144,0.000017308876,0.00030163975,0.00016799965,0.00005972001],"category_scores_gemma":[0.0002665987,0.00009874884,0.0009827327,0.0027763322,0.00005679299,0.00014113341,0.000015101522,0.00030897761,0.000002196706],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013383907,0.0062826704,0.1315622,0.0016131371,0.0075985654,0.000022939963,0.025136242,0.00092931034,0.79047215,0.005088943,0.012849073,0.017106378],"study_design_scores_gemma":[0.004074736,0.00184619,0.8499437,0.0004069845,0.0022160853,0.00007502161,0.010707513,0.0020480594,0.12583241,0.0012693892,0.0011043851,0.0004755191],"about_ca_topic_score_codex":0.00001265157,"about_ca_topic_score_gemma":0.000004135352,"teacher_disagreement_score":0.7183815,"about_ca_system_score_codex":0.000087255285,"about_ca_system_score_gemma":0.00003279077,"threshold_uncertainty_score":0.40268606},"labels":[],"label_agreement":null},{"id":"W4299603563","doi":"10.48550/arxiv.1608.00051","title":"Moduli space and deformations of special Lagrangian submanifolds with\\n edge singularities","year":2016,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Gravitational singularity; Moduli space; Holomorphic function; Mathematics; Manifold (fluid mechanics); Volume form; Mathematical analysis; Lagrangian; Pure mathematics; Moduli; Space (punctuation); Differential geometry; Geometry; Physics; Curvature; Hermitian manifold; Scalar curvature","score_opus":0.04568514932968919,"score_gpt":0.17643216528563974,"score_spread":0.13074701595595056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4299603563","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70886475,0.00027191197,0.24694361,0.00018031868,0.0003881426,0.00062062417,0.00019559593,0.00006027229,0.04247478],"genre_scores_gemma":[0.9888533,0.00071699766,0.0011357344,0.000014256921,0.0005251098,9.0503096e-7,0.000027191922,0.000047323923,0.008679206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99743444,0.00018107632,0.00061328174,0.0009334349,0.0002695815,0.00056818465],"domain_scores_gemma":[0.99647117,0.00033959368,0.0010126935,0.0011658085,0.0007095418,0.00030119516],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00048349673,0.00066198164,0.0011838863,0.0009975352,0.00036450865,0.00013264945,0.00065744965,0.0006414809,0.0006758878],"category_scores_gemma":[0.0001466267,0.00057650305,0.00049825275,0.0015398362,0.00062487414,0.0005589261,0.0006793161,0.0005654274,0.000056786073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026832428,0.00052363746,0.010091165,0.0013084036,0.001707171,0.00014277687,0.0027523004,0.0035623002,0.00007174452,0.97823465,0.0006440407,0.00069347],"study_design_scores_gemma":[0.009943597,0.0012545661,0.018014105,0.0044531133,0.014943295,0.00013326875,0.026711348,0.059270754,0.0015293239,0.8450222,0.013092807,0.005631603],"about_ca_topic_score_codex":0.00014181974,"about_ca_topic_score_gemma":0.000452166,"teacher_disagreement_score":0.27998853,"about_ca_system_score_codex":0.00020783156,"about_ca_system_score_gemma":0.00023236223,"threshold_uncertainty_score":0.99966866},"labels":[],"label_agreement":null},{"id":"W4300128136","doi":"","title":"Semi-Symmetry Properties of $S$-Manifolds Admitting a Quarter-Symmetric Metric Connection","year":2020,"lang":"en","type":"article","venue":"DergiPark (Istanbul University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Connection (principal bundle); Symmetry (geometry); Mathematics; Metric (unit); Pure mathematics; Metric connection; Mathematical analysis; Theoretical physics; Topology (electrical circuits); Combinatorics; Geometry; Fundamental theorem of Riemannian geometry; Physics; Geography; Business; Archaeology; Scalar curvature","score_opus":0.03840674838679684,"score_gpt":0.21732481563519004,"score_spread":0.1789180672483932,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4300128136","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94167024,0.0009553332,0.022662258,0.00062947127,0.0001680731,0.00037772386,0.000018594419,0.00025756244,0.03326077],"genre_scores_gemma":[0.99698985,0.00005907857,0.0015554252,0.00009850766,0.00009820295,9.799678e-7,0.000006906671,0.000028531878,0.0011624966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9979471,0.00018652654,0.00048100154,0.0004804286,0.00054244726,0.00036251103],"domain_scores_gemma":[0.9981817,0.0003809737,0.00047253695,0.00036078502,0.00036780344,0.00023619414],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00035548315,0.00027980085,0.0006475763,0.001776413,0.00018630904,0.00005350157,0.00044628233,0.00018948999,0.00018752988],"category_scores_gemma":[0.0016506698,0.00027209305,0.00035798913,0.011803874,0.000066638546,0.00033394742,0.00013899263,0.00029587938,0.00003318316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002280991,0.00426593,0.039737217,0.006676664,0.0073832707,0.0011300481,0.020865683,0.0009906263,0.026084118,0.79575783,0.08054702,0.014280617],"study_design_scores_gemma":[0.019102832,0.005997459,0.0091837365,0.0013425157,0.010855013,0.0001664495,0.29288137,0.050982747,0.08615378,0.012804535,0.5026887,0.007840889],"about_ca_topic_score_codex":0.00007689769,"about_ca_topic_score_gemma":0.000026842286,"teacher_disagreement_score":0.78295326,"about_ca_system_score_codex":0.0001449898,"about_ca_system_score_gemma":0.00009268223,"threshold_uncertainty_score":0.9999731},"labels":[],"label_agreement":null},{"id":"W4300994972","doi":"","title":"Quarter Symmetric Non-Metric Connection In A Kenmotsu Manifold","year":2011,"lang":"en","type":"article","venue":"DergiPark (Istanbul University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Metric connection; Connection (principal bundle); Mathematics; Manifold (fluid mechanics); Metric (unit); Pure mathematics; Topology (electrical circuits); Geometry; Mathematical analysis; Combinatorics; Engineering; Geography; Fundamental theorem of Riemannian geometry; Mechanical engineering; Scalar curvature; Operations management; Curvature","score_opus":0.031120810995035175,"score_gpt":0.2147490062929045,"score_spread":0.18362819529786933,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4300994972","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.659707,0.00013893904,0.0170778,0.0000530298,0.00024843405,0.00032488626,0.000007948206,0.00013005249,0.3223119],"genre_scores_gemma":[0.9913832,0.000054844022,0.0022771463,0.00003901033,0.000040886833,0.0000015238334,0.000007642763,0.000022683622,0.0061730957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9983467,0.00011484488,0.0003307678,0.00045198758,0.00033038904,0.00042533388],"domain_scores_gemma":[0.9987229,0.00029781807,0.00021256629,0.0004680866,0.00015374548,0.00014485004],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00040181456,0.00024771114,0.00043323002,0.0044105477,0.00012323374,0.00003920864,0.0003885941,0.0002054993,0.00078156166],"category_scores_gemma":[0.00028160898,0.0002593565,0.00022831735,0.0110477265,0.000033601482,0.00033832176,0.00008353975,0.00029534596,0.00014079052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00055366446,0.0027949584,0.055677067,0.00030597803,0.0007892475,0.0021785824,0.006103387,0.000035008885,0.00016928386,0.8972056,0.03085222,0.0033349993],"study_design_scores_gemma":[0.020473065,0.0024643806,0.419037,0.0004948319,0.0033551785,0.00024409789,0.09325061,0.0108378455,0.0017408626,0.116451815,0.32518664,0.0064636553],"about_ca_topic_score_codex":0.0003979433,"about_ca_topic_score_gemma":0.0005089585,"teacher_disagreement_score":0.7807538,"about_ca_system_score_codex":0.0002792171,"about_ca_system_score_gemma":0.000049258,"threshold_uncertainty_score":0.9999859},"labels":[],"label_agreement":null},{"id":"W4301149602","doi":"","title":"On ɸ-Symmetric Kenmotsu Manifolds With Respect To Quarter-Symmetric Metric Connection","year":2011,"lang":"en","type":"article","venue":"DergiPark (Istanbul University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric connection; Quarter (Canadian coin); Mathematics; Pure mathematics; Metric (unit); Topology (electrical circuits); Mathematical analysis; Geometry; Geology; Combinatorics; Fundamental theorem of Riemannian geometry; Geography; Engineering; Scalar curvature; Curvature; Operations management","score_opus":0.03144023429332403,"score_gpt":0.2226504457557987,"score_spread":0.1912102114624747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4301149602","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5141155,0.000107350286,0.046607375,0.00014804368,0.00027358046,0.0006370105,0.000022076734,0.00035068582,0.4377384],"genre_scores_gemma":[0.9830845,0.000028056216,0.0064963847,0.00013840114,0.00006771817,0.0000035588291,0.000009724902,0.00005240265,0.010119234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99714965,0.00021631308,0.00037898074,0.0008160542,0.00080721924,0.00063178974],"domain_scores_gemma":[0.9971463,0.00086478365,0.0003123923,0.00088763476,0.00039032014,0.00039858278],"candidate_categories":["metaepi_narrow","bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.00054653024,0.000443531,0.000636832,0.009518484,0.00033283108,0.00009100847,0.0006367288,0.00022048916,0.0008346801],"category_scores_gemma":[0.00080949115,0.00039962505,0.00028061893,0.02850099,0.000053224805,0.00030599596,0.00010652076,0.00037143202,0.00034242735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014581089,0.0014105005,0.0025317962,0.00009056272,0.00088883034,0.00097235927,0.001436146,0.000088893954,0.000031396914,0.9567489,0.03166993,0.0026725966],"study_design_scores_gemma":[0.02388692,0.027776128,0.13432932,0.0007532949,0.008866752,0.0005079594,0.054732386,0.0021066766,0.005113805,0.124384575,0.60658807,0.010954084],"about_ca_topic_score_codex":0.00026561363,"about_ca_topic_score_gemma":0.00032238243,"teacher_disagreement_score":0.8323643,"about_ca_system_score_codex":0.000510577,"about_ca_system_score_gemma":0.000080736565,"threshold_uncertainty_score":0.99984556},"labels":[],"label_agreement":null},{"id":"W4301185109","doi":"10.36890/iejg.1130240","title":"STCR-Lightlike Product Manifolds of an Indefinite Kaehler Statistical Manifold with a Quarter Symmetric Non-Metric Connection","year":2022,"lang":"en","type":"article","venue":"International Electronic Journal of Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Pure mathematics; Mathematics; Metric (unit); Quarter (Canadian coin); Manifold (fluid mechanics); Product (mathematics); Metric connection; Kähler manifold; Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Business; Geography; Engineering; Archaeology; Ricci curvature","score_opus":0.009571695302272842,"score_gpt":0.2614093123310827,"score_spread":0.25183761702880986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4301185109","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9534681,0.0007878268,0.04251533,0.00035652137,0.00061445934,0.00022704554,0.000058506263,0.00002020708,0.0019520365],"genre_scores_gemma":[0.9964644,0.0000623682,0.0024897405,0.000086767206,0.0003231921,0.000014377089,0.000036740053,0.00004223347,0.00048018357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9956726,0.00019677782,0.0011100625,0.0003513507,0.0021384768,0.0005307357],"domain_scores_gemma":[0.99662596,0.000602419,0.0013913095,0.0003271502,0.00091317913,0.00013996556],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002300077,0.0002699423,0.00063956465,0.004605284,0.0001367813,0.00007471887,0.00074923976,0.0000729836,0.001378392],"category_scores_gemma":[0.0006487904,0.00021802305,0.00024338644,0.0050544143,0.000038780156,0.00040946036,0.00010599608,0.0011282602,0.0000073517654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0047376817,0.011879725,0.040676367,0.0003637808,0.0127051985,0.000741594,0.0012648252,0.005604289,0.0021861312,0.8628745,0.016823005,0.040142875],"study_design_scores_gemma":[0.036033258,0.07508999,0.25753552,0.0005567216,0.00809596,0.02748983,0.019326411,0.025124673,0.007601804,0.44942653,0.087901354,0.0058179335],"about_ca_topic_score_codex":0.00007237695,"about_ca_topic_score_gemma":0.000045816047,"teacher_disagreement_score":0.41344798,"about_ca_system_score_codex":0.0007019004,"about_ca_system_score_gemma":0.0004771592,"threshold_uncertainty_score":0.9995345},"labels":[],"label_agreement":null},{"id":"W4302810802","doi":"","title":"Vers un théorème de la limite centrale dans l'espace de Wasserstein ?","year":2016,"lang":"fr","type":"other","venue":"Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences","funders":"","keywords":"Humanities; Art","score_opus":0.03873626566926983,"score_gpt":0.26579508915521644,"score_spread":0.2270588234859466,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4302810802","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11224996,0.0038327598,0.57755345,0.009348071,0.00091483176,0.001992925,0.00076029927,0.0021622088,0.29118547],"genre_scores_gemma":[0.26072663,0.03977288,0.13384043,0.0009719684,0.001753616,0.000023675255,0.00034816164,0.0014502911,0.56111234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.98522466,0.006562736,0.0011068999,0.0023349032,0.0013224437,0.0034483233],"domain_scores_gemma":[0.9885099,0.0042420956,0.0017092138,0.002458933,0.0006683776,0.0024115026],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.007189525,0.0022694243,0.0025855466,0.0025120832,0.0020904236,0.00039968785,0.0031640772,0.0065801246,0.01622],"category_scores_gemma":[0.0025205642,0.0025710876,0.002174801,0.0048091,0.0016357816,0.0013176218,0.0011592726,0.0056060986,0.0023979363],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00395796,0.007702493,0.12607364,0.0034247914,0.014304175,0.019613288,0.043915916,0.019579073,0.013628964,0.3850808,0.34112856,0.021590326],"study_design_scores_gemma":[0.012902255,0.00047582222,0.013998205,0.0024853975,0.010540022,0.0010803556,0.03648034,0.031659946,0.0017031028,0.009141377,0.8741213,0.0054118442],"about_ca_topic_score_codex":0.015787875,"about_ca_topic_score_gemma":0.008337966,"teacher_disagreement_score":0.5329928,"about_ca_system_score_codex":0.019938303,"about_ca_system_score_gemma":0.0052920054,"threshold_uncertainty_score":0.99920875},"labels":[],"label_agreement":null},{"id":"W4304806462","doi":"10.1017/s0004972722001150","title":"A REMARK ON THE GEOMETRIC INTERPRETATION OF THE A3W CONDITION FROM OPTIMAL TRANSPORT","year":2022,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Division of Mathematical Sciences; Fields Institute for Research in Mathematical Sciences","keywords":"Interpretation (philosophy); Mathematics; Calculus (dental); Mathematical economics; Computer science","score_opus":0.026121027884189036,"score_gpt":0.2617508790605066,"score_spread":0.23562985117631755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4304806462","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9728667,0.000029176337,0.0042676614,0.019106664,0.00018609507,0.000858406,0.0002095563,0.000029710287,0.0024460002],"genre_scores_gemma":[0.99169487,0.0000027256615,0.003234035,0.00042509258,0.000038666596,0.00006095674,0.000009664648,0.000021620941,0.0045123827],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99742275,0.0003239978,0.00070469116,0.0002335518,0.0010898678,0.00022513694],"domain_scores_gemma":[0.9967697,0.0016311464,0.00063914014,0.0008279273,0.00009054893,0.000041490504],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014766742,0.00019641276,0.00043339896,0.00004308457,0.0003308822,0.000018441508,0.0009997954,0.00010022511,0.009340711],"category_scores_gemma":[0.0008693036,0.000096539196,0.0011724449,0.0011878666,0.00025329756,0.000016780046,0.0001941603,0.00056786917,0.000022831024],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018523025,0.0027499255,0.0018909592,0.00077443686,0.0020156032,0.0000019343572,0.011349353,0.0040206383,0.0014490255,0.15402639,0.82081276,0.00072376843],"study_design_scores_gemma":[0.0041415677,0.0009979241,0.06299642,0.0016175761,0.0059075216,0.00004958145,0.045436185,0.012861202,0.022768836,0.7531943,0.08819861,0.0018303134],"about_ca_topic_score_codex":0.000044663833,"about_ca_topic_score_gemma":0.0000010462659,"teacher_disagreement_score":0.7326141,"about_ca_system_score_codex":0.000082276376,"about_ca_system_score_gemma":0.000031248288,"threshold_uncertainty_score":0.99156487},"labels":[],"label_agreement":null},{"id":"W4308391739","doi":"10.28924/2291-8639-20-2022-59","title":"Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Totally geodesic; Invariant (physics); Pure mathematics; Product (mathematics); Geodesic; Manifold (fluid mechanics); Mathematical analysis; Geometry; Mathematical physics; Engineering","score_opus":0.02036639888076988,"score_gpt":0.30491161704474895,"score_spread":0.28454521816397904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4308391739","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9522943,0.0013055601,0.044309426,0.0014677739,0.0000534594,0.00016018891,0.00006338232,0.0000065801505,0.00033935893],"genre_scores_gemma":[0.99692225,0.00036662465,0.0021953732,0.000057715013,0.0001238553,0.000026918948,0.000021749533,0.000008836456,0.00027665208],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9979487,0.00008528051,0.0009352947,0.0002131488,0.00069671165,0.00012084965],"domain_scores_gemma":[0.99825734,0.00022230044,0.00087076356,0.00020480566,0.0003712067,0.000073558185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012050904,0.000121965015,0.00051140034,0.0017808074,0.00008608991,0.000050416125,0.00037084465,0.000033860917,0.00023933094],"category_scores_gemma":[0.00011814428,0.00010563783,0.0002489686,0.0020850345,0.000042535852,0.00011771341,0.00014363242,0.00023531586,6.601108e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033861992,0.0064382623,0.7020405,0.00019433357,0.019230545,0.00013722017,0.0030989866,0.005009214,0.00892228,0.18436937,0.0036756096,0.066545054],"study_design_scores_gemma":[0.005601867,0.000990671,0.74175966,0.00015070922,0.01253035,0.0010513738,0.013281049,0.026200488,0.0026602698,0.10691778,0.08720866,0.0016471505],"about_ca_topic_score_codex":0.00011276491,"about_ca_topic_score_gemma":0.00012601931,"teacher_disagreement_score":0.08353305,"about_ca_system_score_codex":0.00006559886,"about_ca_system_score_gemma":0.00004567664,"threshold_uncertainty_score":0.4307786},"labels":[],"label_agreement":null},{"id":"W4309346518","doi":"10.1007/s11005-022-01610-6","title":"Static near-horizon geometries and rigidity of quasi-Einstein manifolds","year":2022,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; McMaster University; Fields Institute for Research in Mathematical Sciences","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Cosmological constant; Physics; Mathematical physics; Einstein; Scalar curvature; Rigidity (electromagnetism); Manifold (fluid mechanics); Curvature; Quantum mechanics; Mathematics; Geometry","score_opus":0.02580466633597674,"score_gpt":0.26796382924777573,"score_spread":0.24215916291179898,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4309346518","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94333446,0.000049610833,0.05469451,0.00089949963,0.00006348672,0.00026626026,0.000021562804,0.00003562839,0.0006349581],"genre_scores_gemma":[0.98070556,0.000005774303,0.018725602,0.00034835862,0.000049209553,0.000045402663,0.000008535695,0.000031799816,0.00007978755],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978796,0.00014802795,0.0006249089,0.00029363247,0.0007348627,0.000318931],"domain_scores_gemma":[0.9980955,0.0010973613,0.00026259726,0.0004412768,0.00003611741,0.00006714832],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000862203,0.00021864903,0.00069070456,0.00018357082,0.0001471568,0.000052362047,0.00027672548,0.000048580554,0.00024062839],"category_scores_gemma":[0.00040705784,0.00019807629,0.00014894461,0.0015132668,0.00016959404,0.00013045657,0.0002590761,0.0004071601,0.000010290316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007395097,0.0035795656,0.0032114848,0.0024669475,0.0003531515,0.000078438614,0.004620983,0.00078500656,0.0024742214,0.96213317,0.009681855,0.010541241],"study_design_scores_gemma":[0.0007451246,0.00034077468,0.0004651035,0.0000686298,0.00016916264,0.000011218707,0.0011072125,0.010677484,0.0004716329,0.9848194,0.00073706545,0.00038717643],"about_ca_topic_score_codex":0.000019200821,"about_ca_topic_score_gemma":0.000003027878,"teacher_disagreement_score":0.03737105,"about_ca_system_score_codex":0.00007612608,"about_ca_system_score_gemma":0.000022621676,"threshold_uncertainty_score":0.8077316},"labels":[],"label_agreement":null},{"id":"W4311325422","doi":"10.21203/rs.3.rs-2365272/v1","title":"Infinite time bubbling for the SU(2) Yang-Mills heat flow on $\\mathbb{R}^4$","year":2022,"lang":"en","type":"preprint","venue":"Research Square","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Simons Foundation; National Science Foundation","keywords":"Yang–Mills existence and mass gap; Connection (principal bundle); Flow (mathematics); Mathematics; Dimension (graph theory); Tower; Smoothness; Symmetry (geometry); Bundle; Pure mathematics; Mathematical physics; Mathematical analysis; Geometry; Gauge theory","score_opus":0.16508561328776364,"score_gpt":0.4402313068597425,"score_spread":0.2751456935719788,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311325422","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5564893,0.0531747,0.05994429,0.076667964,0.009643161,0.07068806,0.01331914,0.0034391293,0.15663429],"genre_scores_gemma":[0.8829603,0.003644062,0.017067015,0.0009031667,0.0062380154,0.010988661,0.0027379887,0.0009296415,0.07453111],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99338347,0.0008100551,0.00070265814,0.0009697823,0.0030070546,0.0011269939],"domain_scores_gemma":[0.9843808,0.011990574,0.00017373924,0.002264555,0.0009659975,0.00022436304],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.008732814,0.00048536056,0.00088033814,0.0013300793,0.00120257,0.00060015754,0.0016943525,0.00045854802,0.004628584],"category_scores_gemma":[0.0070026694,0.00033243615,0.00096839643,0.002191558,0.00010472748,0.00006410783,0.0022233,0.0036084463,0.00031494765],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007981526,0.0022534064,0.00059131405,0.007948584,0.0034591332,0.000120261444,0.00568786,0.054544855,0.0002893574,0.03777362,0.85805756,0.028475875],"study_design_scores_gemma":[0.0014544616,0.0009943733,0.00049722986,0.0011789701,0.00048093864,0.000007606913,0.0029704862,0.18789364,0.00014809021,0.10480614,0.69833124,0.0012368254],"about_ca_topic_score_codex":0.00013101706,"about_ca_topic_score_gemma":0.000033935306,"teacher_disagreement_score":0.3264711,"about_ca_system_score_codex":0.00045526802,"about_ca_system_score_gemma":0.00042680293,"threshold_uncertainty_score":0.99991274},"labels":[],"label_agreement":null},{"id":"W4311730797","doi":"10.48550/arxiv.2212.08053","title":"Riemannian embeddings in codimension one as unbounded $KK$-cycles","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Codimension; Mathematics; Nabla symbol; Product (mathematics); Dirac operator; Connection (principal bundle); Operator (biology); Manifold (fluid mechanics); Combinatorics; Dirac (video compression format); Constant curvature; Pure mathematics; Curvature; Physics; Geometry; Quantum mechanics","score_opus":0.13060044146858607,"score_gpt":0.23789135516139379,"score_spread":0.10729091369280772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311730797","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98221546,0.00013128894,0.0033730972,0.00012698275,0.00028847955,0.000430894,0.000026031425,0.00015688932,0.013250879],"genre_scores_gemma":[0.9894741,0.00020863801,0.00081341714,0.00010320113,0.00005998767,0.0000030424612,0.00008480889,0.000051058752,0.009201749],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974244,0.00025557654,0.00043859304,0.0011323196,0.0002800504,0.00046900922],"domain_scores_gemma":[0.99773294,0.00032521546,0.0004960613,0.001126846,0.00014242693,0.0001765138],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007170565,0.00043871065,0.00085020496,0.001077015,0.00023451992,0.0000909357,0.0008668317,0.00043528166,0.0023562964],"category_scores_gemma":[0.00032692452,0.00052163145,0.00043939918,0.0020727816,0.00009947246,0.00016182766,0.0016943407,0.0013405554,0.00012898244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00042566203,0.0024244348,0.02480942,0.00085188966,0.0013943136,0.0023578834,0.002487419,0.09442016,0.0001386372,0.86359274,0.006554238,0.00054322585],"study_design_scores_gemma":[0.0017866803,0.00015543266,0.004974276,0.00034107952,0.0010617899,0.000008380596,0.0032577857,0.032723993,0.000083968276,0.94791,0.006250251,0.001446379],"about_ca_topic_score_codex":0.00073590333,"about_ca_topic_score_gemma":0.0004363986,"teacher_disagreement_score":0.08431727,"about_ca_system_score_codex":0.0005727653,"about_ca_system_score_gemma":0.00018061273,"threshold_uncertainty_score":0.99972355},"labels":[],"label_agreement":null},{"id":"W4313260919","doi":"10.1088/1361-6544/aca73c","title":"Shape analysis via gradient flows on diffeomorphism groups","year":2022,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Vetenskapsrådet; Knut och Alice Wallenbergs Stiftelse","keywords":"Diffeomorphism; Balanced flow; Mathematics; Flow (mathematics); Metric (unit); Geometric flow; Sobolev space; Tensor (intrinsic definition); Energy functional; Mathematical analysis; Deformation (meteorology); Geometry; Pure mathematics; Geology","score_opus":0.03811403737241479,"score_gpt":0.2850016049378936,"score_spread":0.24688756756547883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313260919","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98978776,0.000092397604,0.007307126,0.0005240103,0.00029126043,0.00021552417,0.00012924119,0.00012389173,0.0015287653],"genre_scores_gemma":[0.9936976,0.000006583522,0.004462091,0.00044350294,0.00022119399,0.000057580743,0.00021487086,0.000027000622,0.0008695867],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99746704,0.00021838777,0.0004612625,0.00051411724,0.00095875555,0.0003804543],"domain_scores_gemma":[0.99845946,0.00031584463,0.00020813104,0.00077356235,0.00008822283,0.0001547697],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000900941,0.00025162005,0.0006371734,0.00068594015,0.0004905334,0.000050623643,0.00043825814,0.00008418046,0.0055105234],"category_scores_gemma":[0.00022563357,0.0002220804,0.0006955203,0.0038251602,0.000030255625,0.000056967445,0.00026570036,0.0006686907,0.00006810387],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016647752,0.060014095,0.28503,0.00067116617,0.04326754,0.0016747235,0.010586567,0.045993987,0.0029376068,0.24197611,0.11368916,0.19249424],"study_design_scores_gemma":[0.0014263405,0.00064494275,0.04986189,0.0000073392434,0.00473584,0.000023960803,0.00047087186,0.8595749,0.000081526116,0.037966345,0.044149846,0.0010561638],"about_ca_topic_score_codex":0.000113204704,"about_ca_topic_score_gemma":0.00021920628,"teacher_disagreement_score":0.81358093,"about_ca_system_score_codex":0.00016838776,"about_ca_system_score_gemma":0.000025852285,"threshold_uncertainty_score":0.9953986},"labels":[],"label_agreement":null},{"id":"W4313442773","doi":"10.1016/j.na.2022.113205","title":"Good geodesics satisfying the timelike curvature-dimension condition","year":2022,"lang":"en","type":"article","venue":"Nonlinear Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Fields Institute for Research in Mathematical Sciences","keywords":"Geodesic; Mathematics; Curvature; Dimension (graph theory); Negative curvature; Pure mathematics; Measure (data warehouse); Contraction (grammar); Space (punctuation); Mathematical analysis; Geometry; Computer science","score_opus":0.025423940467671494,"score_gpt":0.2979450451650332,"score_spread":0.2725211046973617,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313442773","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9454242,0.0018929667,0.03905855,0.0035317584,0.00052885566,0.00075190066,0.00045548577,0.00039129032,0.007965006],"genre_scores_gemma":[0.9857682,0.000019213183,0.0083571365,0.000723994,0.00020353869,0.00004893117,0.000492257,0.00003467617,0.004352078],"study_design_codex":"not_applicable","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99741644,0.0003505637,0.0004977831,0.00040724303,0.0010032697,0.0003246845],"domain_scores_gemma":[0.998091,0.00052479573,0.00034735148,0.000788196,0.00016882154,0.0000798449],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014260084,0.00022701391,0.000530393,0.0005815674,0.00091902376,0.000094560666,0.0004066021,0.00008288121,0.00377771],"category_scores_gemma":[0.00023937116,0.00016272118,0.00076035544,0.006155412,0.000045862253,0.000103103295,0.00023310832,0.00059945765,0.000056028442],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00047665255,0.0068806796,0.16546163,0.00042898126,0.093613714,0.00038148987,0.011304304,0.22093433,0.0060523013,0.14715585,0.27414894,0.07316112],"study_design_scores_gemma":[0.0018645596,0.00034947554,0.011418953,0.000021089596,0.041163232,0.00005172329,0.0052864174,0.6269141,0.0009215338,0.035891734,0.2742982,0.0018190425],"about_ca_topic_score_codex":0.00010676232,"about_ca_topic_score_gemma":0.00019131406,"teacher_disagreement_score":0.40597972,"about_ca_system_score_codex":0.00010822826,"about_ca_system_score_gemma":0.00004700776,"threshold_uncertainty_score":0.99713296},"labels":[],"label_agreement":null},{"id":"W4313572090","doi":"10.3934/jgm.2023006","title":"A family of special case sequential warped-product manifolds","year":2023,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; Simon Fraser University","funders":"","keywords":"Product (mathematics); Mathematics; Pure mathematics; Computer science; Geometry","score_opus":0.07276558490209249,"score_gpt":0.30502299075111644,"score_spread":0.23225740584902393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313572090","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9300653,0.0011940467,0.06498839,0.00033922764,0.0020416179,0.00026187225,0.00002445053,0.000039371356,0.0010457482],"genre_scores_gemma":[0.9931761,0.000948811,0.0026770432,0.000045527744,0.0021879768,0.0000010034166,0.00000211834,0.000038010712,0.00092342444],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967153,0.00025381125,0.0012145295,0.00016168214,0.0012703475,0.00038435063],"domain_scores_gemma":[0.9962043,0.0010242434,0.0013306491,0.0005789774,0.00072414917,0.00013768792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006423697,0.00022355161,0.0007326547,0.0026669556,0.00013642112,0.000037683847,0.00069414923,0.000118483826,0.00039317648],"category_scores_gemma":[0.0031099117,0.00014049333,0.00047675273,0.01234603,0.00002985123,0.00015013956,0.0001967944,0.00049912947,0.0000701854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001340845,0.0024769849,0.0002691866,0.0012207159,0.0074415193,0.013726544,0.0066138464,0.00485676,0.023713455,0.12219041,0.65821004,0.15793972],"study_design_scores_gemma":[0.012120894,0.0065680086,0.0012560623,0.00063021336,0.017924963,0.056675036,0.036518347,0.037223045,0.03293304,0.71763444,0.07717282,0.0033431419],"about_ca_topic_score_codex":0.000037016314,"about_ca_topic_score_gemma":0.000012890884,"teacher_disagreement_score":0.595444,"about_ca_system_score_codex":0.000072558956,"about_ca_system_score_gemma":0.00012419953,"threshold_uncertainty_score":0.59318584},"labels":[],"label_agreement":null},{"id":"W4318069800","doi":"10.2140/involve.2022.15.687","title":"Elliptic Harnack inequality for ℤd","year":2022,"lang":"en","type":"preprint","venue":"Involve a Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Harnack's inequality; Harnack's principle; Mathematics; Harmonic function; Invariant (physics); Central limit theorem; Gaussian; Probabilistic logic; Pure mathematics; Limit (mathematics); Random walk; Mathematical analysis; Mathematical physics; Physics; Statistics","score_opus":0.15972160418324255,"score_gpt":0.374709497035529,"score_spread":0.21498789285228648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318069800","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41562548,0.008511469,0.5676692,0.0010290844,0.003134258,0.0018364628,0.00030346902,0.0000975058,0.0017930932],"genre_scores_gemma":[0.23650616,0.001253214,0.75556606,0.00042217062,0.0024097643,0.00019930457,0.00008548072,0.00033295,0.0032249088],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99481684,0.0002289841,0.002741076,0.00033828238,0.0014424415,0.0004323689],"domain_scores_gemma":[0.989612,0.0030274866,0.004936912,0.0010487834,0.0011585007,0.0002163614],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0059653115,0.00052807614,0.002005732,0.0007059498,0.00016285534,0.0002012565,0.0014023052,0.0003942964,0.00087173254],"category_scores_gemma":[0.0060215904,0.00042570685,0.0018058443,0.000551785,0.00006537896,0.0001362896,0.0007579289,0.0017652041,0.000010910299],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00052613945,0.017250357,0.001977711,0.051079974,0.01934963,0.0004921487,0.040328033,0.011757433,0.0005069625,0.35803512,0.49190116,0.0067953053],"study_design_scores_gemma":[0.0009182834,0.00039294641,0.000024345309,0.0006953649,0.0023890524,0.000085813066,0.0039886045,0.0046801255,0.0001356122,0.96406275,0.022023965,0.0006031164],"about_ca_topic_score_codex":0.0000044435833,"about_ca_topic_score_gemma":0.0000074624036,"teacher_disagreement_score":0.60602766,"about_ca_system_score_codex":0.0002788466,"about_ca_system_score_gemma":0.00042205848,"threshold_uncertainty_score":0.99981946},"labels":[],"label_agreement":null},{"id":"W4318202591","doi":"10.1093/imrn/rnad219","title":"Nodal Sets of Eigenfunctions of Sub-Laplacians","year":2023,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Eigenfunction; Laplace operator; Pure mathematics; Bounded function; Riemannian manifold; Mathematical analysis; Eigenvalues and eigenvectors","score_opus":0.2560861683442586,"score_gpt":0.4744536169221345,"score_spread":0.21836744857787588,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318202591","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96956867,0.000041798998,0.0030397,0.0008073249,0.00031096983,0.00026348946,0.00009937104,0.00006781552,0.025800833],"genre_scores_gemma":[0.98963165,0.000077919576,0.0077998517,0.000005370839,0.00008000881,0.00002700335,0.000027699234,0.000024711106,0.002325758],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99676895,0.000098134005,0.0006950375,0.0002066264,0.0019264036,0.00030484586],"domain_scores_gemma":[0.99488866,0.0030193452,0.00031556078,0.00039928773,0.0013014612,0.000075707074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025821263,0.00012401248,0.00035346812,0.0013896069,0.000086443186,0.000049380196,0.00067098223,0.000095999414,0.0005606788],"category_scores_gemma":[0.004817539,0.00010320326,0.00019764944,0.0020278424,0.00018275174,0.00016838707,0.00023021393,0.00025389294,0.00021138745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008822309,0.002900592,0.0046151434,0.0024276832,0.002207937,0.000046794117,0.008627942,0.0014097118,0.022714159,0.9001258,0.04921615,0.0056198887],"study_design_scores_gemma":[0.0013307701,0.00041451587,0.009822398,0.00083609,0.00027630225,0.000017006749,0.015774142,0.1195531,0.03519916,0.8097276,0.006457657,0.00059122953],"about_ca_topic_score_codex":0.000039665396,"about_ca_topic_score_gemma":0.00007146733,"teacher_disagreement_score":0.11814339,"about_ca_system_score_codex":0.000047685662,"about_ca_system_score_gemma":0.000084513886,"threshold_uncertainty_score":0.61390394},"labels":[],"label_agreement":null},{"id":"W4318775791","doi":"10.1090/proc/16419","title":"On the asymptotic Plateau problem in hyperbolic space","year":2023,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.020620220870400156,"score_gpt":0.25930711507294385,"score_spread":0.2386868942025437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318775791","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96827656,0.000068327594,0.000072444425,0.016306996,0.00006538407,0.0011121652,0.000014045475,0.00012009258,0.013963994],"genre_scores_gemma":[0.99104637,0.00021855604,0.0043522515,0.00074386667,0.00012101112,0.00011704304,0.0000011402757,0.000100943136,0.0032987911],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99579066,0.00006172291,0.0011030169,0.0005990621,0.0014709756,0.0009745905],"domain_scores_gemma":[0.9949297,0.0027196803,0.0013603661,0.0005642084,0.000270089,0.00015596962],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0029285087,0.0005576388,0.0013921219,0.00017274145,0.00031598503,0.00018477831,0.0015535424,0.00019440972,0.00020339168],"category_scores_gemma":[0.0032145218,0.00029743175,0.0012950251,0.008618127,0.0010709891,0.0001299923,0.0006899631,0.0011398019,0.00044066863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059377817,0.0013432851,0.0033620226,0.0024051757,0.000978771,0.0000017134215,0.015831538,0.0001128099,0.002034924,0.867992,0.104944125,0.00093429635],"study_design_scores_gemma":[0.00068054296,0.00034972417,0.006846195,0.0016799931,0.0007345011,0.000013108453,0.03170637,0.03144312,0.0010477625,0.9239773,0.0007785559,0.0007428081],"about_ca_topic_score_codex":0.000051431787,"about_ca_topic_score_gemma":0.0000021310111,"teacher_disagreement_score":0.10416557,"about_ca_system_score_codex":0.00019335668,"about_ca_system_score_gemma":0.00007862722,"threshold_uncertainty_score":0.9999478},"labels":[],"label_agreement":null},{"id":"W4321072545","doi":"10.1063/5.0113859","title":"Bakry–Émery Ricci curvature, <i>X</i>-minimal hypersurfaces, and near horizon geometries","year":2023,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ricci curvature; Mathematics; Curvature; Bounded function; Generalization; Mathematical analysis; Manifold (fluid mechanics); Type (biology); Pure mathematics; Upper and lower bounds; Vector field; Geometry","score_opus":0.04495639505959908,"score_gpt":0.2969025408165454,"score_spread":0.2519461457569463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4321072545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9810395,0.0010090284,0.013838527,0.00071127625,0.0002875062,0.00017820545,0.000015269476,0.000093486,0.0028271803],"genre_scores_gemma":[0.961432,0.00044246882,0.03608595,0.000110634304,0.0008589401,0.0000050340986,0.0000060706197,0.00008548588,0.0009734433],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972575,0.000077814475,0.00094972685,0.00022667313,0.0010553988,0.00043290044],"domain_scores_gemma":[0.99654776,0.0018077461,0.0006858744,0.00033237084,0.00036761243,0.0002586471],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015131544,0.00030793058,0.0010038008,0.0002941922,0.00017505333,0.00021943652,0.00033927397,0.00018000929,0.00010861658],"category_scores_gemma":[0.0021524106,0.00022011917,0.00040724612,0.0026477708,0.00017929329,0.00042008143,0.00014790978,0.00063681393,0.00012788872],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005222379,0.0041112183,0.003712997,0.004214566,0.0049568126,0.0006897254,0.00600125,0.00072474475,0.004602487,0.49703708,0.37387437,0.09955252],"study_design_scores_gemma":[0.0012756952,0.000785117,0.0011559724,0.0003048334,0.0010366888,0.0001761284,0.0012295385,0.0037092774,0.0008510238,0.97566646,0.013210417,0.0005988218],"about_ca_topic_score_codex":0.0000012154462,"about_ca_topic_score_gemma":4.122377e-7,"teacher_disagreement_score":0.4786294,"about_ca_system_score_codex":0.000037021582,"about_ca_system_score_gemma":0.00007995224,"threshold_uncertainty_score":0.8976199},"labels":[],"label_agreement":null},{"id":"W4323267872","doi":"10.1007/s00205-023-01859-8","title":"Nematic Liquid Crystal Flow with Partially Free Boundary","year":2023,"lang":"en","type":"article","venue":"Archive for Rational Mechanics and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Neumann boundary condition; Boundary value problem; Liquid crystal; No-slip condition; Mathematics; Mathematical analysis; Boundary (topology); Flow (mathematics); Robin boundary condition; Mixed boundary condition; Vector field; Mechanics; Harmonic map; Physics; Geometry; Optics","score_opus":0.02172982971716921,"score_gpt":0.26332179188623567,"score_spread":0.24159196216906645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4323267872","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.033074703,0.000058340484,0.96474653,0.0011616416,0.000035748097,0.00026173072,0.00037904675,0.00007216828,0.00021009627],"genre_scores_gemma":[0.8843486,0.00005472027,0.11236358,0.00020400865,0.00020144228,0.00021636007,0.0016044528,0.000044515917,0.00096234935],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99858224,0.00004754953,0.0003489381,0.00033560648,0.000424039,0.00026162385],"domain_scores_gemma":[0.9986851,0.00056460267,0.00015642153,0.00032682024,0.00015357214,0.000113446644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053885387,0.00017983874,0.0004385772,0.00061901985,0.00033600477,0.00012316415,0.000177829,0.000048669477,0.00012392343],"category_scores_gemma":[0.00040704288,0.0001346493,0.00032963452,0.0019686662,0.000023377333,0.000115420014,0.000087442924,0.00009148437,0.0000080362815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025178277,0.00016786675,0.00016932042,0.00017418846,0.00612424,0.000013171601,0.00078208453,0.006970295,0.0007576809,0.97455484,0.009193035,0.00084147183],"study_design_scores_gemma":[0.000372417,0.000232724,0.00013286843,0.0000134406355,0.0019340013,0.000002140576,0.00023713018,0.5007297,0.000032200816,0.49488282,0.0012617153,0.0001688586],"about_ca_topic_score_codex":0.000008929373,"about_ca_topic_score_gemma":0.00075348467,"teacher_disagreement_score":0.85238296,"about_ca_system_score_codex":0.000012452073,"about_ca_system_score_gemma":0.00007038205,"threshold_uncertainty_score":0.5490839},"labels":[],"label_agreement":null},{"id":"W4323313933","doi":"10.1007/s42985-023-00224-4","title":"On rotational surfaces with circular boundary and almost constant mean curvature","year":2023,"lang":"en","type":"article","venue":"Partial Differential Equations and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Collège Jean-de-Brébeuf","funders":"","keywords":"Boundary (topology); Mean curvature; Curvature; Constant (computer programming); Geometry; Mathematics; Mathematical analysis; Physics; Computer science","score_opus":0.030374327869641334,"score_gpt":0.2850713335258596,"score_spread":0.2546970056562183,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4323313933","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.561301,0.00028434748,0.43492317,0.0010158082,0.00005222272,0.000863694,0.00021744732,0.00019490853,0.0011474333],"genre_scores_gemma":[0.9983122,0.000059418537,0.00050530984,0.00004775947,0.00009546351,0.00033400924,0.0003060528,0.00001884787,0.00032095207],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881786,0.00004736292,0.0002563442,0.00034284778,0.00032644646,0.00020912285],"domain_scores_gemma":[0.998852,0.0005577194,0.00011389973,0.00024087101,0.00011241197,0.0001230854],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015169868,0.0001722018,0.00022552596,0.00018330668,0.0005774851,0.00018585064,0.00008256489,0.00007750279,0.0001568246],"category_scores_gemma":[0.00008990678,0.00013293479,0.000050565483,0.0008802086,0.00016017449,0.00008908644,0.000040587056,0.00015191243,0.000037535323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019689369,0.00018854387,0.00067410263,0.00004403074,0.00018459772,0.0000015454078,0.00032185932,0.00020271064,0.00062899233,0.9923582,0.0009466962,0.0044290274],"study_design_scores_gemma":[0.004116917,0.00052828656,0.050967433,0.00020956263,0.002112991,0.000028880238,0.002775613,0.15420485,0.0005907582,0.74038815,0.04210817,0.0019684134],"about_ca_topic_score_codex":0.00001717624,"about_ca_topic_score_gemma":0.000060661663,"teacher_disagreement_score":0.4370112,"about_ca_system_score_codex":0.000013225216,"about_ca_system_score_gemma":0.000045446683,"threshold_uncertainty_score":0.5420923},"labels":[],"label_agreement":null},{"id":"W4324126973","doi":"10.2298/fil2213483l","title":"Inequalities involving Casorati curvatures for submanifolds of real space forms with a quarter-symmetric connection","year":2022,"lang":"en","type":"article","venue":"Filomat","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Curvature; Space (punctuation); Quarter (Canadian coin); Pure mathematics; Mathematical analysis; Geometry; Computer science","score_opus":0.03825599150163506,"score_gpt":0.27780868305164685,"score_spread":0.2395526915500118,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4324126973","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9877807,0.00031725687,0.005188793,0.00023876067,0.00015124034,0.00061615393,0.00015782466,0.00010815282,0.0054411213],"genre_scores_gemma":[0.9943809,0.000016576776,0.0041339523,0.0000410311,0.00006552928,0.00020219736,0.00009885258,0.000032975844,0.0010279951],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984818,0.00008794018,0.00041101,0.00025349366,0.0004938241,0.0002719154],"domain_scores_gemma":[0.9983277,0.0006691281,0.0004240635,0.00033890145,0.0001880282,0.000052214604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066936726,0.00018828013,0.00046068785,0.0005575114,0.00026933628,0.00004701622,0.00018514683,0.00007007497,0.00025396177],"category_scores_gemma":[0.00033021174,0.0001443072,0.00016507828,0.0018183454,0.000026705675,0.00017681574,0.00007074548,0.00016480686,0.0000015807428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035051533,0.00049208826,0.009529307,0.0008736415,0.0004945523,0.000011760252,0.005075462,0.000202869,0.00048016978,0.94708586,0.03468614,0.0007176566],"study_design_scores_gemma":[0.0146086775,0.017167713,0.030635595,0.0004313981,0.0031556045,0.0003757971,0.23332903,0.033693824,0.0095274765,0.570856,0.081754826,0.0044640983],"about_ca_topic_score_codex":0.00029796004,"about_ca_topic_score_gemma":0.00040671148,"teacher_disagreement_score":0.37622988,"about_ca_system_score_codex":0.00009009812,"about_ca_system_score_gemma":0.000055151977,"threshold_uncertainty_score":0.5884677},"labels":[],"label_agreement":null},{"id":"W4327629449","doi":"10.1016/j.aim.2023.108979","title":"Non-degeneracy and quantitative stability of half-harmonic maps from <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:math> to <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si129.svg\"><mml:mi mathvariant=\"double-struck\">S</mml:mi></mml:math>","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Key Research and Development Program of China; China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Harmonic map; Degree (music); Degenerate energy levels; Mathematical analysis; Blaschke product; Harmonic; Harmonic mean; Stability (learning theory); Geometry; Physics; Quantum mechanics","score_opus":0.032350503104710215,"score_gpt":0.2840622629604338,"score_spread":0.2517117598557236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4327629449","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.982048,0.0017092084,0.0066852868,0.00044184484,0.0015682367,0.0004620076,0.00087607687,0.0005292418,0.005680145],"genre_scores_gemma":[0.91033626,0.0025282013,0.082857646,0.00045496752,0.0007505555,0.0011976362,0.00086277694,0.0007140337,0.00029794403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9879502,0.00033337504,0.0038225015,0.0024276024,0.0030085691,0.0024577207],"domain_scores_gemma":[0.98818594,0.0035121732,0.0033311183,0.003598486,0.00046245282,0.0009098398],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0041036266,0.0016474371,0.0016919461,0.00095702126,0.0011658727,0.00095203717,0.0024579775,0.0017195508,0.0005251573],"category_scores_gemma":[0.00232161,0.0019325189,0.0014944044,0.0030608992,0.0010941579,0.0021484308,0.0021909548,0.0018877585,0.0023349333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007999669,0.00093022425,0.000047971826,0.0033452671,0.0012873434,0.00055212365,0.0072373096,0.0015276388,0.0019387786,0.9799255,0.001156251,0.0012516378],"study_design_scores_gemma":[0.0036651695,0.0010678468,0.0001250446,0.0021367336,0.0018344374,0.00039284248,0.010378883,0.9186713,0.017524503,0.038331963,0.003822452,0.0020488373],"about_ca_topic_score_codex":0.00093468284,"about_ca_topic_score_gemma":0.0011067196,"teacher_disagreement_score":0.9415935,"about_ca_system_score_codex":0.00010578369,"about_ca_system_score_gemma":0.00089344505,"threshold_uncertainty_score":0.9996273},"labels":[],"label_agreement":null},{"id":"W4362580890","doi":"10.28924/2291-8639-21-2023-32","title":"A Note on LP-Kenmotsu Manifolds Admitting Conformal Ricci-Yamabe Solitons","year":2023,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Conformal map; Mathematics; Yamabe flow; Curvature of Riemannian manifolds; Soliton; Ricci-flat manifold; Pure mathematics; Mathematical physics; Mathematical analysis; Scalar curvature; Physics; Geometry; Curvature; Nonlinear system; Sectional curvature; Quantum mechanics","score_opus":0.02424006313652312,"score_gpt":0.3427309794921994,"score_spread":0.3184909163556763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4362580890","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63775325,0.00026723195,0.3389616,0.007665615,0.00038668964,0.0003596954,0.00013870836,0.00012830485,0.014338891],"genre_scores_gemma":[0.99573326,0.00023684636,0.002399036,0.00020524612,0.00054916064,0.000017175864,0.000036431327,0.000012031506,0.00081080635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.998129,0.000036646077,0.00075504126,0.00018083755,0.00071796577,0.0001804724],"domain_scores_gemma":[0.9978142,0.0005102558,0.00067271,0.00021394737,0.0006525362,0.00013636473],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008235739,0.0001431829,0.00039225214,0.0015170774,0.00014215529,0.00016536012,0.00041956757,0.00007657578,0.00017077052],"category_scores_gemma":[0.00025208914,0.000113193455,0.0005058259,0.0021621767,0.000036113815,0.0001695073,0.00007975551,0.00023402297,0.000051186023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022547567,0.0018552901,0.04120785,0.00008499088,0.030124158,0.000185547,0.002340825,0.0070796795,0.0021604428,0.64576644,0.031873953,0.23709534],"study_design_scores_gemma":[0.005196174,0.00073101994,0.2098872,0.0003040454,0.018528545,0.00039113912,0.0064063733,0.09218679,0.0024957748,0.20859998,0.45328358,0.0019893555],"about_ca_topic_score_codex":0.000017708237,"about_ca_topic_score_gemma":0.000027125832,"teacher_disagreement_score":0.43716645,"about_ca_system_score_codex":0.000050441733,"about_ca_system_score_gemma":0.00004775597,"threshold_uncertainty_score":0.46158952},"labels":[],"label_agreement":null},{"id":"W4367016964","doi":"10.1007/978-3-031-25409-3_6","title":"Vector Fields","year":2023,"lang":"en","type":"book-chapter","venue":"Springer undergraduate mathematics series","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Vector (molecular biology); Biology","score_opus":0.053495477070349795,"score_gpt":0.26686671176442306,"score_spread":0.21337123469407326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4367016964","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000109218476,0.0003368475,0.004270683,0.0029343073,0.0010644101,0.00062977674,0.000057408743,0.0010951319,0.9895022],"genre_scores_gemma":[0.0030592254,0.00076146115,0.01313124,0.00005281465,0.00045923764,0.00003725265,0.00004498251,0.00039519137,0.9820586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99660444,0.000020884923,0.001096281,0.0006741357,0.0010187259,0.0005855219],"domain_scores_gemma":[0.99673414,0.00067055726,0.00076130184,0.0013943258,0.0002520144,0.00018768654],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00052620535,0.00087952486,0.0014341382,0.00060040917,0.00022359617,0.00026189248,0.00062835444,0.0007502732,0.0008242235],"category_scores_gemma":[0.0005350452,0.0007740472,0.0007619846,0.0002962584,0.00016337847,0.000184981,0.00038448736,0.00086495973,0.0018806444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000061402534,0.000049458995,0.0000019013407,0.0009447086,0.000690769,0.00006315186,0.00029116942,0.000004475487,0.000008688039,0.97229755,0.025331343,0.00031065955],"study_design_scores_gemma":[0.00015269381,0.000071126866,0.0000036306858,0.00048519872,0.0006048933,0.000022955095,0.00011115108,0.00007564852,0.00005837951,0.9367504,0.06088485,0.0007790682],"about_ca_topic_score_codex":0.0000066144967,"about_ca_topic_score_gemma":0.00019795999,"teacher_disagreement_score":0.035553504,"about_ca_system_score_codex":0.00010820673,"about_ca_system_score_gemma":0.000100074045,"threshold_uncertainty_score":0.99947107},"labels":[],"label_agreement":null},{"id":"W4367369747","doi":"10.48550/arxiv.2304.14341","title":"A synthetic null energy condition","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Null (SQL); Geodesic; Mathematics; Energy condition; Ricci curvature; Curvature; General relativity; Differential geometry; Mathematical analysis; Limit (mathematics); Closed timelike curve; Pure mathematics; Convergence (economics); Dimension (graph theory); Closure (psychology); Boundary (topology); Limit of a sequence; Consistency (knowledge bases); Mathematical physics; Spacetime; Physics; Discrete mathematics; Geometry; Quantum mechanics","score_opus":0.13472195747470514,"score_gpt":0.21601159759004662,"score_spread":0.08128964011534148,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4367369747","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45648396,0.00016698311,0.5244728,0.00024760293,0.0013707259,0.00040182145,0.00016444802,0.0010563202,0.015635341],"genre_scores_gemma":[0.97477263,0.00021977417,0.00021463387,0.000044485394,0.00011510394,0.0000021765918,0.00010743692,0.000051452367,0.024472332],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982704,0.00013847424,0.00026285328,0.0008607734,0.00013753535,0.00032998124],"domain_scores_gemma":[0.9979748,0.00036772294,0.00033989587,0.0010008609,0.00017443125,0.00014227319],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030347097,0.00033136772,0.0005391018,0.00063973456,0.00012069899,0.00006675706,0.00057614275,0.00045940306,0.0004971048],"category_scores_gemma":[0.000251432,0.00035628263,0.0004899925,0.0011874954,0.000079010504,0.00008896794,0.00060224766,0.00046516093,0.00033448957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000351133,0.0002770415,0.00061945984,0.00029604445,0.0008531867,0.00060865865,0.00013539883,0.02463178,0.000020164687,0.9541318,0.017904535,0.00048685435],"study_design_scores_gemma":[0.00037058996,0.00003658357,0.00026072032,0.00018787406,0.0010101019,0.0000042965485,0.00031323492,0.071235925,0.000058577385,0.9215901,0.004312662,0.00061932777],"about_ca_topic_score_codex":0.00024189959,"about_ca_topic_score_gemma":0.00015500779,"teacher_disagreement_score":0.52425814,"about_ca_system_score_codex":0.00016908819,"about_ca_system_score_gemma":0.00008457132,"threshold_uncertainty_score":0.9998889},"labels":[],"label_agreement":null},{"id":"W4379615002","doi":"10.1016/j.matpur.2023.06.009","title":"Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions","year":2023,"lang":"fr","type":"article","venue":"Journal de Mathématiques Pures et Appliquées","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Fields Institute for Research in Mathematical Sciences","keywords":"Geodesic; Ricci curvature; Uniqueness; Mathematics; Curvature; Convexity; Mathematical physics; Pure mathematics; Combinatorics; Physics; Mathematical analysis; Geometry","score_opus":0.02415086987484271,"score_gpt":0.3255227282589158,"score_spread":0.3013718583840731,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4379615002","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8163047,0.017978149,0.016280958,0.1183804,0.0048640785,0.001981062,0.0005189693,0.0013630564,0.022328638],"genre_scores_gemma":[0.87418437,0.023112925,0.02610548,0.00676785,0.0043698824,0.0002318608,0.00044961376,0.0005237794,0.06425424],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9943756,0.0008233879,0.0013576888,0.00061440974,0.0014661988,0.0013627139],"domain_scores_gemma":[0.99553853,0.0013519499,0.0011226839,0.0007674939,0.00049758115,0.0007217541],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0029464858,0.0008426077,0.0011872344,0.0014134708,0.0006973568,0.0013169441,0.0007101405,0.0008354389,0.0029364296],"category_scores_gemma":[0.00092296064,0.00072230276,0.000939029,0.0023362564,0.00017895071,0.0005988856,0.0002444561,0.002555945,0.0029785857],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000073451556,0.00065481244,0.00029662641,0.00040799717,0.0007548895,0.000608002,0.002803438,0.0015842965,0.0015994946,0.28115338,0.70807135,0.001992229],"study_design_scores_gemma":[0.0015139525,0.00078573544,0.0050169365,0.002227751,0.0014628236,0.001238324,0.002334688,0.012822883,0.002842175,0.48503482,0.4833078,0.0014121021],"about_ca_topic_score_codex":0.00007050004,"about_ca_topic_score_gemma":0.00009477642,"teacher_disagreement_score":0.22476356,"about_ca_system_score_codex":0.0004749983,"about_ca_system_score_gemma":0.0003597942,"threshold_uncertainty_score":0.9997452},"labels":[],"label_agreement":null},{"id":"W4380244218","doi":"10.1007/s00526-023-02513-7","title":"A variational characterization of calibrated submanifolds","year":2023,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Characterization (materials science); Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.04492011527807568,"score_gpt":0.2891487618260144,"score_spread":0.24422864654793872,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380244218","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2293819,0.000006812017,0.76981837,0.00017085185,0.00012918873,0.0001561579,0.00017423574,0.000045696488,0.000116770796],"genre_scores_gemma":[0.99857247,0.000017668894,0.00026299997,0.000007795257,0.00009186493,0.00003272032,0.00070282514,0.000012835256,0.00029880606],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986818,0.00009504917,0.00058778765,0.0001772538,0.00030227652,0.00015583802],"domain_scores_gemma":[0.998748,0.00037539317,0.00033242183,0.0001959674,0.00027927192,0.000068915026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023463444,0.000118016775,0.0002990489,0.00037997044,0.00013666057,0.00003141834,0.00009339574,0.00010948433,0.00048279134],"category_scores_gemma":[0.00054169423,0.00010810028,0.00011736227,0.0014914718,0.000048365448,0.00016246375,0.0000509207,0.000066779394,0.0000099418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010679982,0.00017806899,0.00022858364,0.000041801675,0.00014080548,2.9274813e-7,0.00040833035,0.000084544656,0.04438419,0.9539208,0.000080129066,0.00052177615],"study_design_scores_gemma":[0.0006696836,0.00007341416,0.06160526,0.000030814983,0.0004414254,7.189224e-7,0.000070897884,0.9265155,0.003322951,0.006910045,0.00016560007,0.00019364714],"about_ca_topic_score_codex":0.00006339735,"about_ca_topic_score_gemma":0.000016294907,"teacher_disagreement_score":0.94701076,"about_ca_system_score_codex":0.000010275624,"about_ca_system_score_gemma":0.00006701584,"threshold_uncertainty_score":0.5286226},"labels":[],"label_agreement":null},{"id":"W4381186478","doi":"10.1016/j.jfa.2023.110062","title":"Uryson width of three dimensional mean convex domain with non-negative Ricci curvature","year":2023,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Ricci curvature; Boundary (topology); Upper and lower bounds; Mathematical analysis; Curvature; Regular polygon; Domain (mathematical analysis); Mean curvature; Manifold (fluid mechanics); Function (biology); Combinatorics; Pure mathematics; Geometry","score_opus":0.026477263971890836,"score_gpt":0.2549155030009229,"score_spread":0.22843823902903207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381186478","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9310041,0.00019937196,0.066635035,0.0010941777,0.00021837071,0.0001133592,0.000042460484,0.000025246203,0.0006678686],"genre_scores_gemma":[0.9855733,0.000017990667,0.012573193,0.00009351821,0.0003275974,0.0000042300753,0.000042066597,0.00002430271,0.0013437814],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9965035,0.00010441478,0.0009951695,0.00026779532,0.001852879,0.00027628412],"domain_scores_gemma":[0.99541,0.0010154244,0.0015043418,0.00030691232,0.0015827375,0.00018053805],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014627512,0.00027390677,0.0011743302,0.0020400533,0.00014686894,0.000037154947,0.0002551462,0.00014923282,0.00093397807],"category_scores_gemma":[0.00038403465,0.00017197648,0.0011164504,0.009261356,0.00011189699,0.00025872627,0.000058430753,0.0005362684,0.000024307363],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004621424,0.0031698814,0.4192389,0.00042614172,0.16131975,0.0006890009,0.0024696263,0.20007613,0.0061098007,0.025913307,0.17289327,0.0030727892],"study_design_scores_gemma":[0.0058427914,0.0017863221,0.6913442,0.00028584627,0.03732736,0.00023315297,0.002710407,0.03454775,0.0010918688,0.22096598,0.0026555986,0.0012087278],"about_ca_topic_score_codex":0.000038159113,"about_ca_topic_score_gemma":0.00025516548,"teacher_disagreement_score":0.2721053,"about_ca_system_score_codex":0.00008310264,"about_ca_system_score_gemma":0.00017983165,"threshold_uncertainty_score":0.9999793},"labels":[],"label_agreement":null},{"id":"W4381488496","doi":"10.1007/s13324-023-00821-x","title":"Sign equidistribution of Legendre polynomials","year":2023,"lang":"en","type":"article","venue":"Analysis and Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Legendre polynomials; Mathematics; Sign (mathematics); Conjecture; Associated Legendre polynomials; Eigenfunction; Legendre function; Degree (music); Legendre's equation; Polynomial; Interval (graph theory); Pure mathematics; Classical orthogonal polynomials; Orthogonal polynomials; Legendre wavelet; Symmetry (geometry); Combinatorics; Mathematical analysis; Gegenbauer polynomials; Eigenvalues and eigenvectors; Geometry; Physics","score_opus":0.05328048008903794,"score_gpt":0.322597625697785,"score_spread":0.26931714560874703,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381488496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6708674,0.00009010406,0.32563773,0.00017534159,0.000024026338,0.00015802971,0.000055338733,0.00010808051,0.0028839542],"genre_scores_gemma":[0.9970615,0.000052179894,0.0021710147,0.000017289982,0.000073367235,0.000010210194,0.00006547198,0.000013909866,0.00053504686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984923,0.00005918082,0.0005470744,0.00025220696,0.0003949016,0.0002543412],"domain_scores_gemma":[0.99852514,0.00061617943,0.00024160673,0.00038713156,0.0001315824,0.000098372795],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007007823,0.00017043296,0.0008201898,0.00027490233,0.00007969096,0.00003792858,0.00013740698,0.00009102661,0.00019790416],"category_scores_gemma":[0.00038234828,0.0001315802,0.0004947694,0.004214792,0.000081466154,0.00010374336,0.00009423562,0.000093381896,0.000062367],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011639251,0.00040445811,0.001018674,0.00036855062,0.0035030907,0.0000053060294,0.00050499913,0.00011849942,0.0027181734,0.97733516,0.004896687,0.009114742],"study_design_scores_gemma":[0.00025924086,0.000057421126,0.0018637584,0.00002937514,0.0050952383,0.0000011370631,0.0004774683,0.015057612,0.004038261,0.9725922,0.00025005423,0.0002782512],"about_ca_topic_score_codex":0.00001149033,"about_ca_topic_score_gemma":0.0000037790871,"teacher_disagreement_score":0.3261941,"about_ca_system_score_codex":0.000013091014,"about_ca_system_score_gemma":0.000013868606,"threshold_uncertainty_score":0.53656846},"labels":[],"label_agreement":null},{"id":"W4381785627","doi":"10.1063/5.0116102","title":"On W1 and W8 φ-symmetric K-contact manifold with respect to quarter-symmetric metric connection","year":2023,"lang":"en","type":"article","venue":"AIP conference proceedings","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Quarter (Canadian coin); Metric (unit); Manifold (fluid mechanics); Mathematics; Metric connection; Topology (electrical circuits); Geometry; Pure mathematics; Mathematical analysis; Combinatorics; Engineering; Fundamental theorem of Riemannian geometry; History; Mechanical engineering","score_opus":0.037911154237545056,"score_gpt":0.27558391276876343,"score_spread":0.2376727585312184,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381785627","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9641919,0.00010153365,0.005107437,0.0012877359,0.0001517023,0.0007514985,0.000009362971,0.00049264816,0.027906196],"genre_scores_gemma":[0.9967796,0.000075900934,0.0009961128,0.00026125714,0.00011843334,0.000106317595,0.0000072291555,0.000052436302,0.0016027149],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9971152,0.000026205484,0.00047792852,0.00084843463,0.00088501,0.0006472353],"domain_scores_gemma":[0.99764395,0.0008433032,0.0002792791,0.00027376835,0.0006384349,0.0003212669],"candidate_categories":["metaepi_narrow","bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.0010495619,0.0004262183,0.00067404675,0.0058047865,0.00024606782,0.0004647623,0.0003413461,0.00019026257,0.00014681595],"category_scores_gemma":[0.0028111846,0.00033016116,0.00012009047,0.021652786,0.00002563673,0.00035156705,0.00010933607,0.00040441094,0.00033281624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041529053,0.00040937192,0.04230009,0.0004102952,0.0005552151,0.000054509954,0.0026154614,0.0000029860093,0.0015328985,0.8821767,0.04980993,0.019717244],"study_design_scores_gemma":[0.009383429,0.02094378,0.587875,0.0014574636,0.0025347134,0.00033484714,0.027963402,0.03314581,0.0036047292,0.28736576,0.01957498,0.005816082],"about_ca_topic_score_codex":0.000100746096,"about_ca_topic_score_gemma":0.00003650379,"teacher_disagreement_score":0.59481096,"about_ca_system_score_codex":0.00013488143,"about_ca_system_score_gemma":0.00005830277,"threshold_uncertainty_score":0.99991506},"labels":[],"label_agreement":null},{"id":"W4382139981","doi":"10.1515/crelle-2023-0039","title":"A nonexistence result for rotating mean curvature flows in ℝ<sup>4</sup>","year":2023,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Tangent; Physics; Tangent bundle; Combinatorics; Uniqueness; Mathematics; Geometry; Mathematical analysis; Tangent space","score_opus":0.05353137292650846,"score_gpt":0.34550801123153124,"score_spread":0.2919766383050228,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4382139981","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8982076,0.023955474,0.055038113,0.009611414,0.001396116,0.0024034856,0.00014230369,0.00053276593,0.0087127155],"genre_scores_gemma":[0.57848954,0.022741381,0.35637718,0.0009520016,0.010284249,0.0002972687,0.0001341142,0.0010211872,0.029703071],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.993588,0.00037228267,0.002575954,0.00060245144,0.0014930452,0.0013682932],"domain_scores_gemma":[0.9938716,0.0022666818,0.001781951,0.00065880653,0.00082276895,0.0005981711],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00682809,0.0007487256,0.0016060661,0.0019746039,0.0010737495,0.0009547239,0.0010502912,0.00040915803,0.00019972869],"category_scores_gemma":[0.005250952,0.0005499862,0.0011974224,0.00299122,0.00007640052,0.0006754346,0.00020868845,0.0022489897,0.00009351856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0029885168,0.005506724,0.0039647156,0.008499257,0.012917975,0.013050511,0.1288956,0.06575439,0.0064630583,0.073781475,0.49392793,0.18424985],"study_design_scores_gemma":[0.0099301,0.0011483728,0.00025095738,0.006022355,0.0019327909,0.0047755167,0.017227113,0.20413703,0.0005993448,0.6490275,0.10251413,0.0024347724],"about_ca_topic_score_codex":0.000011718658,"about_ca_topic_score_gemma":0.00011355459,"teacher_disagreement_score":0.57524604,"about_ca_system_score_codex":0.0002723321,"about_ca_system_score_gemma":0.00022679336,"threshold_uncertainty_score":0.9996952},"labels":[],"label_agreement":null},{"id":"W4384644339","doi":"10.48550/arxiv.2307.08088","title":"Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ricci curvature; Ricci flow; Mathematics; Invertible matrix; Scalar curvature; Curvature; Riemann curvature tensor; Pure mathematics; Sectional curvature; Riemannian manifold; Curvature of Riemannian manifolds; Conjecture; Mathematical analysis; Geometry","score_opus":0.21843578660989366,"score_gpt":0.2566058059963888,"score_spread":0.03817001938649517,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384644339","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.735031,0.00021969514,0.26235464,0.00009929458,0.0004213691,0.0009135541,0.0003538819,0.00016573412,0.0004408012],"genre_scores_gemma":[0.98926055,0.00017386414,0.008651567,0.000035684505,0.00013668505,0.000005563447,0.00013499224,0.000065441716,0.0015356652],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99737805,0.00027864636,0.00053582207,0.0011591942,0.00019945187,0.00044885764],"domain_scores_gemma":[0.9954981,0.001759908,0.00078565266,0.0010157384,0.0007608243,0.00017975345],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010578062,0.0005295804,0.0012999804,0.00056860264,0.00020740635,0.000058710924,0.0006878823,0.0007140069,0.000036127025],"category_scores_gemma":[0.0012288586,0.0005310577,0.00052697654,0.0016129947,0.0001886122,0.00013173508,0.00073801796,0.0007113199,0.0000107081605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002305854,0.0034494302,0.051703904,0.018115697,0.014231888,0.0007026487,0.005380428,0.17329311,0.0007918891,0.707182,0.019200334,0.0036428182],"study_design_scores_gemma":[0.0023022816,0.00023619019,0.00936159,0.00063037354,0.003702765,0.0000056136837,0.0012902074,0.37021455,0.00024689717,0.60919744,0.0013228508,0.00148924],"about_ca_topic_score_codex":0.00018444045,"about_ca_topic_score_gemma":0.0002333168,"teacher_disagreement_score":0.25422952,"about_ca_system_score_codex":0.00012728674,"about_ca_system_score_gemma":0.00012531548,"threshold_uncertainty_score":0.9997141},"labels":[],"label_agreement":null},{"id":"W4385354193","doi":"10.58250/jnanabha.2023.53135","title":"STUDY OF RICCI SOLITONS IN f-KENMOTSU MANIFOLDS WITH THE QUARTER-SYMMETRIC METRIC CONNECTION","year":2023,"lang":"en","type":"article","venue":"jnanabha","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Manifold (fluid mechanics); Mathematics; Metric (unit); Metric connection; Quarter (Canadian coin); Pure mathematics; Mathematical analysis; Topology (electrical circuits); Ricci curvature; Geometry; Fundamental theorem of Riemannian geometry; Combinatorics; Curvature","score_opus":0.03741588428272307,"score_gpt":0.293515795671542,"score_spread":0.25609991138881893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385354193","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.993858,0.000111010275,0.0005433325,0.00032159896,0.00009865145,0.0005143711,0.0000032461928,0.00007914466,0.0044706715],"genre_scores_gemma":[0.99857026,0.00001665898,0.00012265122,0.000023651262,0.000059930222,0.0000619769,0.000004341041,0.000023433788,0.0011170759],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99815816,0.00019334051,0.00043958667,0.00029320183,0.0005980528,0.00031768877],"domain_scores_gemma":[0.9980707,0.00093907345,0.0002549848,0.0005561926,0.00012938945,0.000049664573],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011907822,0.00018213523,0.00044986396,0.0023069892,0.00010582721,0.000041540876,0.00029833944,0.00008062372,0.00005285908],"category_scores_gemma":[0.0004678133,0.00010609807,0.000113709,0.020794423,0.000024025143,0.000092586466,0.00006442374,0.00022654967,0.00005335919],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00043143524,0.0145888515,0.48796934,0.00084647763,0.004685654,0.00080171786,0.04663917,0.0037904328,0.0002858026,0.14303888,0.25500563,0.041916613],"study_design_scores_gemma":[0.004695286,0.0028240867,0.8497013,0.00006415772,0.0011133268,0.00002550015,0.12043561,0.0034570438,0.00016350189,0.012474838,0.0043084263,0.0007369609],"about_ca_topic_score_codex":0.0005401422,"about_ca_topic_score_gemma":0.0021456436,"teacher_disagreement_score":0.36173192,"about_ca_system_score_codex":0.000058228383,"about_ca_system_score_gemma":0.000029015637,"threshold_uncertainty_score":0.9991031},"labels":[],"label_agreement":null},{"id":"W4385781971","doi":"10.1142/s0219199723500402","title":"A causal characterization of Spell+(2n)","year":2023,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Invariant (physics); Symplectic geometry; Characterization (materials science); Pure mathematics; Cone (formal languages); Causality (physics); Mathematical analysis; Mathematical physics","score_opus":0.25242056829076226,"score_gpt":0.3839489779060332,"score_spread":0.13152840961527096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385781971","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9105249,0.0004885831,0.015686098,0.0021319762,0.00016518365,0.0011105954,0.000082618295,0.00035818742,0.06945185],"genre_scores_gemma":[0.97938144,0.00026810355,0.01796354,0.000025830443,0.00001934356,0.000027497425,0.00019708759,0.00003147336,0.0020856683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983229,0.00015513852,0.0009236402,0.000154024,0.0002759026,0.00016841911],"domain_scores_gemma":[0.99632674,0.0010129387,0.00045775095,0.0020024248,0.00015637575,0.000043757056],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012941867,0.0001516016,0.0004633568,0.00064248935,0.000056885525,0.000028199536,0.0009119604,0.00010931674,0.00006368736],"category_scores_gemma":[0.0008298132,0.00014255277,0.000115407594,0.0027014532,0.00011427482,0.00020368617,0.00035883588,0.00021389025,0.00014168274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024817282,0.0031984271,0.016210126,0.0014493471,0.0003948479,0.000019742196,0.017012091,0.000018565825,0.02208057,0.9208503,0.014935701,0.0038054779],"study_design_scores_gemma":[0.0030204668,0.00022427186,0.020073483,0.0017873527,0.00030624538,0.000025371435,0.0107444385,0.1328447,0.004408737,0.77410245,0.050869342,0.0015931514],"about_ca_topic_score_codex":0.000013384531,"about_ca_topic_score_gemma":0.000026439004,"teacher_disagreement_score":0.14674784,"about_ca_system_score_codex":0.00003177149,"about_ca_system_score_gemma":0.000083064966,"threshold_uncertainty_score":0.5813134},"labels":[],"label_agreement":null},{"id":"W4385810095","doi":"10.4153/s0008439523000619","title":"Nonexistence of non-Hopf Ricci-semisymmetric real hypersurfaces in and","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Mathematical analysis","score_opus":0.0296703578010695,"score_gpt":0.2803461535386361,"score_spread":0.2506757957375666,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385810095","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95213956,0.00010867052,0.00015036743,0.0014085909,0.000035723115,0.0002399638,0.000017460548,0.000038271883,0.04586137],"genre_scores_gemma":[0.99348253,0.000114453425,0.0035885773,0.0000683039,0.000024607074,0.000019531777,0.000005494523,0.000025921177,0.002670594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983277,0.000050627543,0.00052751903,0.00029294795,0.0003152607,0.00048597797],"domain_scores_gemma":[0.998078,0.0010174835,0.00011296894,0.00033963542,0.00007084847,0.00038105994],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010100302,0.00018371928,0.00055897597,0.0010670112,0.00005850479,0.000035364414,0.00024325949,0.00015915059,0.0016950635],"category_scores_gemma":[0.0019558573,0.00015995988,0.000095476076,0.0028011058,0.00010383002,0.00002511437,0.000056868634,0.00019643284,0.0012565491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092485105,0.0011087094,0.049407445,0.00724283,0.00073772535,0.0013844908,0.016682724,0.00016966926,0.0017854258,0.5893771,0.30269277,0.029318593],"study_design_scores_gemma":[0.00538483,0.00071249314,0.15918486,0.00219467,0.0006754596,0.00016433698,0.019440882,0.036518868,0.00093323673,0.70763284,0.06340554,0.0037519704],"about_ca_topic_score_codex":0.0037390892,"about_ca_topic_score_gemma":0.0031577074,"teacher_disagreement_score":0.23928724,"about_ca_system_score_codex":0.0000750254,"about_ca_system_score_gemma":0.0000980045,"threshold_uncertainty_score":0.9995211},"labels":[],"label_agreement":null},{"id":"W4386329278","doi":"10.1007/s10455-023-09920-1","title":"On the intrinsic and extrinsic boundary for metric measure spaces with lower curvature bounds","year":2023,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Disjoint sets; Boundary (topology); Subspace topology; Convexity; Bar (unit); Omega; Mathematical analysis; Curvature; Space (punctuation); Pure mathematics; Combinatorics; Geometry; Physics; Quantum mechanics","score_opus":0.042886056733620906,"score_gpt":0.31277905649645954,"score_spread":0.26989299976283865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386329278","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9874191,0.0057646153,0.0014703904,0.004199531,0.000056767047,0.0002735644,0.00013141478,0.00005178233,0.00063279615],"genre_scores_gemma":[0.99803144,0.00061873987,0.00028732241,0.00048250367,0.000072968825,0.000022040984,0.000028580971,0.000016614824,0.00043978993],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99772614,0.000093713534,0.00044106165,0.00052378414,0.0007650077,0.00045029933],"domain_scores_gemma":[0.9973435,0.0010488514,0.00035880934,0.0005480024,0.0005407133,0.00016014729],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016297998,0.00033573058,0.0009177703,0.0009864024,0.00033843843,0.00026368749,0.0002629074,0.00017973718,0.000073508694],"category_scores_gemma":[0.0012055909,0.00018861052,0.0004959617,0.020599935,0.00021932753,0.00014561697,0.000115065275,0.00021195447,0.000005283535],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011251481,0.0012173901,0.40815595,0.0006325723,0.038183387,0.000051679053,0.0003303642,0.00021791433,0.000023902936,0.3045606,0.13765495,0.10784614],"study_design_scores_gemma":[0.0016077844,0.0018189595,0.7743859,0.00019452607,0.013365451,0.00001708408,0.0019049038,0.0015461252,0.00012975666,0.18329483,0.02052949,0.0012051836],"about_ca_topic_score_codex":0.000072041905,"about_ca_topic_score_gemma":0.0002930995,"teacher_disagreement_score":0.36622995,"about_ca_system_score_codex":0.00001548901,"about_ca_system_score_gemma":0.000051647068,"threshold_uncertainty_score":0.9897586},"labels":[],"label_agreement":null},{"id":"W4386440369","doi":"10.1002/cpa.22140","title":"Hearing the shape of ancient noncollapsed flows in R4$\\mathbb {R}^{4}$","year":2023,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Flow (mathematics); Tangent; Mean curvature flow; Eigenvalues and eigenvectors; Mathematical analysis; Curvature; Cylinder; Function (biology); Combinatorics; Pure mathematics; Geometry; Mean curvature; Physics","score_opus":0.10535937291371965,"score_gpt":0.32892561604297943,"score_spread":0.22356624312925977,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386440369","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94035745,0.00085321517,0.0015891767,0.0027609975,0.000053496067,0.0012096745,0.000021285796,0.0001705159,0.052984193],"genre_scores_gemma":[0.9747239,0.0003116064,0.024461515,0.00013839226,0.000016461025,0.00015263987,0.000014648529,0.00002541589,0.00015544958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986811,0.000045065943,0.0005810519,0.00017335113,0.00030523803,0.00021418644],"domain_scores_gemma":[0.9963884,0.0014643484,0.00023400497,0.0017985548,0.00006567249,0.000049051036],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012964928,0.00016551031,0.0004078236,0.0003179089,0.00021514883,0.000048574955,0.0008077054,0.00009686993,0.000024672809],"category_scores_gemma":[0.00028449565,0.00011349912,0.00008834623,0.002018471,0.00011187618,0.000035177152,0.0004073042,0.00029735893,0.000044333425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000120476,0.00095037004,0.00015054583,0.00039472216,0.00011113506,0.0000012563476,0.0070565306,0.00024989608,0.0026436727,0.9687659,0.009086408,0.010577494],"study_design_scores_gemma":[0.0029682494,0.00021559572,0.006233199,0.0009270019,0.00046782734,0.00001701462,0.03445662,0.3168938,0.0018830106,0.59718716,0.037504114,0.0012464182],"about_ca_topic_score_codex":0.0000033023573,"about_ca_topic_score_gemma":0.000051228726,"teacher_disagreement_score":0.37157875,"about_ca_system_score_codex":0.000026565574,"about_ca_system_score_gemma":0.000039322902,"threshold_uncertainty_score":0.462836},"labels":[],"label_agreement":null},{"id":"W4386554969","doi":"10.48550/arxiv.2309.03428","title":"Extrinsic geometry of calibrated submanifolds","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Immersion (mathematics); Nabla symbol; Mathematics; Infinitesimal; Tangent; Pure mathematics; Geometry; Riemannian manifold; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.1944658046538162,"score_gpt":0.22458958436748563,"score_spread":0.030123779713669446,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386554969","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9631253,0.00011637569,0.033254724,0.000039096063,0.00044810216,0.0002851939,0.00007610272,0.00030311022,0.0023520067],"genre_scores_gemma":[0.9856992,0.00021991643,0.0003748437,0.000015422042,0.00008958173,8.45823e-7,0.000062697785,0.00006120565,0.013476333],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798965,0.00013720628,0.00046383473,0.0008383004,0.00019403298,0.0003769749],"domain_scores_gemma":[0.9972615,0.00041745405,0.00061231386,0.001243553,0.00030614785,0.00015898226],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00048703354,0.0003844505,0.0008716774,0.0012379319,0.0000739343,0.000041631018,0.0008748871,0.0006034743,0.00040990324],"category_scores_gemma":[0.00034422136,0.00040611145,0.00059952564,0.0037743598,0.000099521894,0.000121312085,0.0010398269,0.0006655418,0.00014501392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001896947,0.001178718,0.06732141,0.0026853518,0.0040039644,0.0014733609,0.00045977876,0.067999214,0.00020840189,0.8255927,0.028263263,0.00062416145],"study_design_scores_gemma":[0.0021454338,0.000202075,0.026482113,0.00068660866,0.0038953186,0.000008285028,0.0017953251,0.10680564,0.00086997706,0.85274583,0.0020083976,0.002355018],"about_ca_topic_score_codex":0.00037975633,"about_ca_topic_score_gemma":0.00014753322,"teacher_disagreement_score":0.040839303,"about_ca_system_score_codex":0.00011793529,"about_ca_system_score_gemma":0.00014585827,"threshold_uncertainty_score":0.99983907},"labels":[],"label_agreement":null},{"id":"W4386832588","doi":"10.28924/2291-8639-21-2023-102","title":"Geometry of Admissible Curves of Constant-Ratio in Pseudo-Galilean Space","year":2023,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Islamic University of Madinah","keywords":"Constant (computer programming); Mathematics; Galilean; Tangent; Space (punctuation); Function (biology); Mathematical analysis; Galilean transformation; Geometry; Constant curvature; Curvature; Mathematical physics","score_opus":0.02602420163239258,"score_gpt":0.33686408371457766,"score_spread":0.31083988208218505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386832588","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83981395,0.0019878356,0.1520394,0.0031430933,0.000079901285,0.00022776931,0.00013026346,0.000015951558,0.0025618237],"genre_scores_gemma":[0.9949154,0.0021791754,0.0023931349,0.000030603413,0.00005934662,0.0000065439162,0.000020913305,0.0000060678026,0.0003887786],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99825346,0.000041671272,0.00092547445,0.00012147589,0.0005659633,0.00009196909],"domain_scores_gemma":[0.99758404,0.00041247008,0.0009600731,0.00017505219,0.0008029733,0.00006540694],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000880258,0.000089565576,0.00050137594,0.0020722148,0.000022270486,0.00002115504,0.00030994514,0.00004798583,0.00018698019],"category_scores_gemma":[0.000376456,0.00007382107,0.0003094228,0.0041295732,0.00006463092,0.000116610514,0.00005010638,0.00012194107,0.0000021160974],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013074292,0.0021143956,0.5005409,0.0006017479,0.016866464,0.000040732855,0.0010924321,0.005298315,0.015494695,0.41328585,0.017728537,0.02680519],"study_design_scores_gemma":[0.006674264,0.00067618344,0.58369637,0.002670484,0.018000767,0.00017570531,0.0136325555,0.04343517,0.027773488,0.26813772,0.033394232,0.0017330445],"about_ca_topic_score_codex":0.000045843048,"about_ca_topic_score_gemma":0.000065979584,"teacher_disagreement_score":0.15510146,"about_ca_system_score_codex":0.000021782187,"about_ca_system_score_gemma":0.00006721539,"threshold_uncertainty_score":0.3010336},"labels":[],"label_agreement":null},{"id":"W4387016914","doi":"10.28924/2291-8639-21-2023-103","title":"Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric","year":2023,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Mathematical physics; Conformal map; Yamabe flow; Ricci curvature; Pure mathematics; Mathematical analysis; Ricci-flat manifold; Ricci flow; Harmonic function; Scalar curvature; Geometry","score_opus":0.02395078814111283,"score_gpt":0.3237357082490962,"score_spread":0.29978492010798335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387016914","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68597,0.0012142544,0.2978986,0.0029571075,0.00040030034,0.00036091913,0.000088870875,0.00012299199,0.010986951],"genre_scores_gemma":[0.99368507,0.00058753445,0.0040161307,0.00012521136,0.0005006015,0.000018459634,0.00004403506,0.000015291915,0.001007664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99757326,0.00004734376,0.0009945724,0.00021821073,0.00094690704,0.00021970464],"domain_scores_gemma":[0.9968787,0.0006789227,0.0009295366,0.00023246623,0.0011125208,0.00016789195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012875615,0.00017117587,0.0005091635,0.0047376025,0.00015085432,0.00022550413,0.0005613045,0.00009325824,0.0002709015],"category_scores_gemma":[0.00049276336,0.00013699244,0.0005851152,0.010457863,0.000037643997,0.0002840955,0.00012753141,0.0002481054,0.000052351028],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010172699,0.0014930895,0.14829585,0.00010666457,0.044002682,0.00017430112,0.00090434647,0.0043580863,0.0007668483,0.4131755,0.028794238,0.35782668],"study_design_scores_gemma":[0.004721848,0.00044114387,0.50602734,0.00015175097,0.026148986,0.0005598597,0.006956183,0.10069213,0.0010168015,0.09927532,0.25200552,0.0020031384],"about_ca_topic_score_codex":0.00002340733,"about_ca_topic_score_gemma":0.00001259975,"teacher_disagreement_score":0.3577315,"about_ca_system_score_codex":0.000061996994,"about_ca_system_score_gemma":0.000049878014,"threshold_uncertainty_score":0.558639},"labels":[],"label_agreement":null},{"id":"W4387138494","doi":"10.1007/s13163-023-00480-3","title":"Some recent developments on the Steklov eigenvalue problem","year":2023,"lang":"en","type":"article","venue":"Revista Matemática Complutense","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Mathematics; Eigenvalues and eigenvectors; Eigenfunction; Isoperimetric inequality; Metric (unit); Boundary (topology); Mathematical analysis; Spectrum (functional analysis); Minimal surface; Pure mathematics; Geometry","score_opus":0.10214167987359461,"score_gpt":0.31336539157809645,"score_spread":0.21122371170450183,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387138494","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9206063,0.0023238491,0.0012826528,0.03139306,0.0011210926,0.0045591574,0.000126408,0.0022210854,0.0363664],"genre_scores_gemma":[0.9460344,0.004265039,0.012803776,0.0039442996,0.0007716931,0.00044452414,0.00016700762,0.00029448242,0.031274784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9972906,0.00025416815,0.0006646804,0.0004550786,0.0007526933,0.00058279285],"domain_scores_gemma":[0.99767303,0.0008297775,0.00023286622,0.0009074114,0.00021310392,0.00014379957],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001696417,0.00031350984,0.0005227117,0.00027844397,0.0003412524,0.00026871677,0.00052389177,0.000094847055,0.00044728027],"category_scores_gemma":[0.0008459079,0.0001921152,0.0001843825,0.002077714,0.00006324332,0.00009707507,0.00020221491,0.00028815155,0.0032804601],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026960533,0.00017817669,0.00017847521,0.00026524556,0.00028590052,0.000056404726,0.00029574079,0.000018551224,0.000147197,0.79815733,0.19733788,0.0030521578],"study_design_scores_gemma":[0.0006438903,0.00012854014,0.0048362394,0.0005551917,0.00028796785,0.000030065728,0.0006214453,0.0012462894,0.00022570981,0.12883766,0.8617445,0.00084248465],"about_ca_topic_score_codex":0.000003147264,"about_ca_topic_score_gemma":0.0000011574049,"teacher_disagreement_score":0.6693196,"about_ca_system_score_codex":0.00011149986,"about_ca_system_score_gemma":0.00007319767,"threshold_uncertainty_score":0.9974956},"labels":[],"label_agreement":null},{"id":"W4387308170","doi":"10.1515/crelle-2023-0058","title":"RCD<sup>*</sup>(<i>K</i>,<i>N</i>) spaces are semi-locally simply~connected","year":2023,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Physics; Combinatorics; Mathematics","score_opus":0.03407788835867986,"score_gpt":0.31017880366482276,"score_spread":0.2761009153061429,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387308170","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8975718,0.028636279,0.031772833,0.024413278,0.001676171,0.0012507546,0.00013175153,0.0012532095,0.013293908],"genre_scores_gemma":[0.816795,0.07959011,0.03200305,0.0023999047,0.012842003,0.00009168128,0.000110037,0.0012256855,0.054942522],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9919406,0.0005812048,0.0026476088,0.00072121713,0.0023831422,0.0017262144],"domain_scores_gemma":[0.9915518,0.0021226695,0.0028178934,0.0009807594,0.0013247158,0.0012021317],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0045705796,0.0011043412,0.0021614518,0.002242915,0.0017000242,0.0019439374,0.0014116343,0.00053448684,0.0013415901],"category_scores_gemma":[0.0044767065,0.000794774,0.0017117508,0.0037162502,0.0001730699,0.0009571971,0.00038708374,0.0027265463,0.00065975066],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000404778,0.0016241396,0.0027076432,0.0013590957,0.007291655,0.007858315,0.008053841,0.009314756,0.002183032,0.008960323,0.9383216,0.011920802],"study_design_scores_gemma":[0.0075879586,0.0011190388,0.0005932017,0.004823917,0.0041023786,0.012793684,0.02613307,0.022196785,0.0027902331,0.45372772,0.46055645,0.0035755597],"about_ca_topic_score_codex":0.000012955519,"about_ca_topic_score_gemma":0.000041482006,"teacher_disagreement_score":0.47776517,"about_ca_system_score_codex":0.00032249768,"about_ca_system_score_gemma":0.00027864764,"threshold_uncertainty_score":0.99959964},"labels":[],"label_agreement":null},{"id":"W4387604257","doi":"10.1142/s0219199723500499","title":"Timelike Ricci bounds for low regularity spacetimes by optimal transport","year":2023,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Austrian Science Fund","keywords":"Ricci curvature; Minkowski space; Mathematics; Uniqueness; Geodesic; Bounded function; Pure mathematics; Spacetime; Mathematical physics; Dimension (graph theory); Mathematical analysis; Curvature; Physics; Geometry","score_opus":0.15650400582691507,"score_gpt":0.3758918141610662,"score_spread":0.21938780833415114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387604257","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41882846,0.015102233,0.40500078,0.027624872,0.0007220066,0.010374369,0.0017020679,0.0033637134,0.117281504],"genre_scores_gemma":[0.81068844,0.00037252996,0.17661302,0.00009711537,0.000038836068,0.00052957056,0.00086363684,0.000093926195,0.010702919],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997741,0.00013844868,0.0010428751,0.0003299355,0.00036719826,0.00038053052],"domain_scores_gemma":[0.99444336,0.0020965075,0.00037657842,0.0027668015,0.00021191388,0.00010483308],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0023214833,0.00029998898,0.00072282145,0.00048141764,0.00030189543,0.00008114156,0.0015111159,0.00023275855,0.00006608092],"category_scores_gemma":[0.00086742913,0.00028826707,0.0003009258,0.0020798906,0.00019851023,0.0002715724,0.00024231971,0.00037331384,0.00006638716],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053466978,0.0037796556,0.0032049653,0.0014789837,0.00058700936,0.000012121925,0.007334763,0.00011572108,0.00047819997,0.21156305,0.7695096,0.0018824572],"study_design_scores_gemma":[0.0042641237,0.00025921714,0.0009177621,0.0008892932,0.0004569074,0.000018372828,0.009142852,0.21825147,0.0007918338,0.4655639,0.29751685,0.0019274261],"about_ca_topic_score_codex":0.000023675631,"about_ca_topic_score_gemma":0.00005053583,"teacher_disagreement_score":0.47199276,"about_ca_system_score_codex":0.000073139534,"about_ca_system_score_gemma":0.00014563465,"threshold_uncertainty_score":0.99995697},"labels":[],"label_agreement":null},{"id":"W4388204721","doi":"10.1007/s00526-023-02598-0","title":"Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space","year":2023,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hessian equation; Hessian matrix; Curvature; Regular polygon; Space (punctuation); Hyperbolic space; Mathematical analysis; Pure mathematics; Applied mathematics; Geometry; Partial differential equation","score_opus":0.06991411757903936,"score_gpt":0.3236177314684085,"score_spread":0.25370361388936913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388204721","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020198073,0.00021206937,0.97752297,0.0008686353,0.00017566503,0.0004942916,0.0003124502,0.000054933997,0.00016092438],"genre_scores_gemma":[0.9972386,0.00002523383,0.0018597633,0.000008327712,0.000090639594,0.00018468303,0.00034991986,0.000020395582,0.00022248352],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99838376,0.00007687266,0.00070087606,0.0002587628,0.0002546347,0.0003251223],"domain_scores_gemma":[0.99713814,0.0018799101,0.00031004308,0.00030315854,0.00027410695,0.00009463802],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039210444,0.00017825843,0.000494743,0.0006246493,0.00026421502,0.00004158695,0.00014425731,0.00017478039,0.00012474129],"category_scores_gemma":[0.002665454,0.000165628,0.00020972667,0.0018167228,0.000099054014,0.00015755618,0.00006929264,0.00013607627,0.000006111288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011014633,0.00029010733,0.00021662559,0.00010070605,0.00015036314,2.5068255e-7,0.0008538679,0.0012422303,0.0032574784,0.9927959,0.0004075265,0.00067394995],"study_design_scores_gemma":[0.0008653792,0.00007199566,0.00612478,0.00007603471,0.00059463666,4.6774528e-7,0.00032157294,0.95825773,0.0007238313,0.032549586,0.00019989589,0.00021411212],"about_ca_topic_score_codex":0.00015893084,"about_ca_topic_score_gemma":0.00029075428,"teacher_disagreement_score":0.97704047,"about_ca_system_score_codex":0.000024129926,"about_ca_system_score_gemma":0.000106330655,"threshold_uncertainty_score":0.6754114},"labels":[],"label_agreement":null},{"id":"W4388469831","doi":"10.1007/978-3-031-37913-0_1","title":"Notation and Background","year":2023,"lang":"en","type":"book-chapter","venue":"Lecture notes in mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Notation; Mathematics; Algebra over a field; Calculus (dental); Pure mathematics; Arithmetic; Medicine","score_opus":0.06460155086498612,"score_gpt":0.29863430889668585,"score_spread":0.23403275803169973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388469831","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0036087483,0.0033979304,0.4251168,0.0013585867,0.0010968182,0.0023825937,0.00012056092,0.00084875047,0.56206924],"genre_scores_gemma":[0.043229893,0.0025967222,0.32763606,0.0006305145,0.0016204803,0.00011427538,0.00034793824,0.0012719994,0.62255216],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796915,0.000021332975,0.00073357543,0.00044229615,0.0005375233,0.000296126],"domain_scores_gemma":[0.9962584,0.0025511817,0.00043671782,0.0005676685,0.000111600704,0.00007447442],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006158094,0.0004984894,0.00092888897,0.00062928424,0.00006745049,0.00011130301,0.00021837864,0.0007347007,0.0003594234],"category_scores_gemma":[0.0011475331,0.00042075882,0.00019905134,0.0002957203,0.000078815276,0.00006368297,0.00011809649,0.0007301175,0.00020185624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007970317,0.000084510284,0.00002652349,0.0020186298,0.00033179988,0.0000718043,0.0017114956,0.000095653886,0.000021521022,0.9806835,0.0013415702,0.013605008],"study_design_scores_gemma":[0.00020256304,0.00003246107,0.000015513117,0.00052645506,0.0002812945,0.000016507402,0.00003134976,0.0016930943,0.000014562345,0.9942756,0.0024836594,0.0004269203],"about_ca_topic_score_codex":0.000005196595,"about_ca_topic_score_gemma":0.0002475932,"teacher_disagreement_score":0.097480744,"about_ca_system_score_codex":0.00008096885,"about_ca_system_score_gemma":0.000037911446,"threshold_uncertainty_score":0.9998244},"labels":[],"label_agreement":null},{"id":"W4388569001","doi":"10.5802/crmath.486","title":"An entropic generalization of Caffarelli’s contraction theorem via covariance inequalities","year":2023,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Defense Science and Engineering Graduate; Natural Sciences and Engineering Research Council of Canada; U.S. Department of Defense","keywords":"Mathematics; Lipschitz continuity; Gaussian measure; Probability measure; Concentration of measure; Covariance; Bounded function; Gaussian; Measure (data warehouse); Regularization (linguistics); Pure mathematics; Mathematical analysis; Applied mathematics; Combinatorics; Statistics","score_opus":0.04055209529613292,"score_gpt":0.31204977942525625,"score_spread":0.27149768412912334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388569001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6472939,0.00031084454,0.35013565,0.00022335499,0.00030146362,0.00030887383,0.000036426118,0.0003565864,0.0010328769],"genre_scores_gemma":[0.9928883,0.00021425002,0.00587625,0.000050997696,0.00014154553,0.000034170906,0.00018099937,0.00003260111,0.0005809013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983102,0.00026194903,0.0005993933,0.00024349698,0.000341769,0.00024321285],"domain_scores_gemma":[0.9983666,0.0004044566,0.00042494416,0.0004967214,0.0002352177,0.00007204466],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006113576,0.00019203055,0.00046301095,0.0003227756,0.00009327049,0.000056851328,0.00019935059,0.00015895133,0.0006516688],"category_scores_gemma":[0.0002934697,0.00016653971,0.000116415606,0.001037771,0.000049995197,0.00022310915,0.00003533264,0.00015299303,0.00008851888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035971134,0.00038527013,0.002684976,0.00048355592,0.00025434708,0.000016409767,0.0028533014,0.0042120013,0.020552518,0.9477473,0.017053252,0.003721089],"study_design_scores_gemma":[0.0015650456,0.00039599751,0.017536454,0.00029657825,0.00039693958,0.000043014188,0.0028604395,0.31126478,0.022591555,0.6345398,0.007448545,0.001060864],"about_ca_topic_score_codex":0.00007627187,"about_ca_topic_score_gemma":0.000032340347,"teacher_disagreement_score":0.34559438,"about_ca_system_score_codex":0.000043233944,"about_ca_system_score_gemma":0.000033835615,"threshold_uncertainty_score":0.7135317},"labels":[],"label_agreement":null},{"id":"W4389072477","doi":"10.4310/mrl.251215003006","title":"A special class of $k$-harmonic maps inducing calibrated fibrations","year":2025,"lang":"en","type":"preprint","venue":"Mathematical Research Letters","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Conformal map; Mathematics; Submanifold; Conjecture; Harmonic map; Class (philosophy); Type (biology); Harmonic; Holonomy; Mathematical analysis; Pure mathematics; Mathematical physics; Physics; Quantum mechanics","score_opus":0.15759541146727904,"score_gpt":0.40598196178362816,"score_spread":0.24838655031634913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389072477","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6254685,0.00041895913,0.1211802,0.04625757,0.0018972262,0.0066678138,0.0015480826,0.00041676193,0.1961449],"genre_scores_gemma":[0.75271696,0.00032729856,0.19483307,0.0022482786,0.014282184,0.0019661414,0.0010727142,0.0005103467,0.032043],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9938038,0.00086580164,0.0013844934,0.00079341535,0.002264403,0.00088808505],"domain_scores_gemma":[0.9924534,0.0047821836,0.00036920133,0.0015317042,0.00061079365,0.00025272238],"candidate_categories":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0038379598,0.0004418278,0.001306762,0.0016760795,0.00021089696,0.0003039925,0.001247374,0.0006151167,0.0024304283],"category_scores_gemma":[0.009101998,0.00037475445,0.00060084125,0.0026042007,0.00040788512,0.000092347786,0.0017827251,0.0030334098,0.00007597552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000613002,0.0007904494,0.00006398952,0.005495683,0.0009432564,0.000056628243,0.0016268779,0.00017503496,0.0020558422,0.3278077,0.6596504,0.0012728919],"study_design_scores_gemma":[0.00077508367,0.00008677179,0.00008651953,0.0027754684,0.00045942445,0.000005595407,0.00080742926,0.008347304,0.002842993,0.9679123,0.015140378,0.00076073693],"about_ca_topic_score_codex":0.00005335671,"about_ca_topic_score_gemma":0.000028515738,"teacher_disagreement_score":0.64451,"about_ca_system_score_codex":0.00028314727,"about_ca_system_score_gemma":0.0005885337,"threshold_uncertainty_score":0.9998704},"labels":[],"label_agreement":null},{"id":"W4389676040","doi":"10.4153/s0008439523000978","title":"A rigidity result for the product of spheres","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Science and Technology Council","keywords":"Rigidity (electromagnetism); Mathematics; SPHERES; Product (mathematics); Pure mathematics; Geometry; Quantum mechanics; Physics","score_opus":0.07054625024611488,"score_gpt":0.3050374338729543,"score_spread":0.2344911836268394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389676040","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6247219,0.0020593747,0.047309753,0.17465487,0.0013859203,0.010786154,0.001164014,0.00096641935,0.13695161],"genre_scores_gemma":[0.9693083,0.000018796874,0.00836883,0.0003283656,0.0003078161,0.0002264365,0.000021261474,0.000056859553,0.021363335],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.998579,0.000045989484,0.00043578175,0.00023249273,0.0002796772,0.00042705334],"domain_scores_gemma":[0.99655485,0.002324875,0.00012158021,0.00060095446,0.00017984858,0.00021790541],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011717853,0.00014768579,0.00036169225,0.00016856837,0.00016268034,0.00004164891,0.00038104263,0.000078671546,0.007130476],"category_scores_gemma":[0.007730839,0.00009237957,0.00022303304,0.00091554923,0.0001087968,0.0000152967,0.000034708315,0.00013634098,0.0016472329],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008212808,0.00003698795,0.00004281086,0.00028034212,0.00010636348,0.0000047837184,0.00018502132,0.000010918934,0.000023322349,0.17385267,0.8237515,0.0016970702],"study_design_scores_gemma":[0.00037600647,0.00005245665,0.00047872227,0.000092583636,0.00025324052,0.0000072679045,0.0011473945,0.0017084433,0.000331312,0.41929787,0.5759914,0.0002633005],"about_ca_topic_score_codex":0.0007557087,"about_ca_topic_score_gemma":0.0035708884,"teacher_disagreement_score":0.3445864,"about_ca_system_score_codex":0.000043061274,"about_ca_system_score_gemma":0.00014059273,"threshold_uncertainty_score":0.9991301},"labels":[],"label_agreement":null},{"id":"W4389882488","doi":"10.1007/s11118-023-10117-1","title":"Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds","year":2023,"lang":"en","type":"article","venue":"Potential Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conformal map; Scalar curvature; Mathematics; Uniqueness; Einstein; Diffeomorphism; Constant (computer programming); Yamabe flow; Constant curvature; Mathematical analysis; Curvature; Mathematical physics; Manifold (fluid mechanics); Dimension (graph theory); Pure mathematics; Sectional curvature; Geometry","score_opus":0.023944609760930432,"score_gpt":0.2697870194075461,"score_spread":0.2458424096466157,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389882488","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.964804,0.00010671703,0.030170023,0.00024691218,0.00009504536,0.00023279872,0.0001019817,0.00017803108,0.0040644743],"genre_scores_gemma":[0.9966984,0.00006461041,0.0016144789,0.0000663582,0.000055558783,0.000011393525,0.0001421051,0.000027447511,0.0013196939],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9973281,0.0001130157,0.00065755186,0.00039639664,0.0010872677,0.00041766203],"domain_scores_gemma":[0.99799097,0.00027666654,0.0004853705,0.00065139926,0.00045732316,0.00013825107],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008245448,0.00030210754,0.000993129,0.0028110412,0.0001357022,0.00006975854,0.00036280486,0.00020828852,0.00037826833],"category_scores_gemma":[0.00023737493,0.00021048251,0.00070791773,0.01872072,0.000093948845,0.00012597983,0.00008334056,0.0002611749,0.000043170206],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002337208,0.0036909024,0.1091049,0.0016614461,0.116693944,0.0018143003,0.002534283,0.09220165,0.0050739567,0.62083733,0.014389808,0.029660268],"study_design_scores_gemma":[0.015880542,0.004608417,0.22181524,0.0007161717,0.19180618,0.00009306732,0.013827291,0.43439138,0.035745006,0.05802673,0.0153642045,0.0077257613],"about_ca_topic_score_codex":0.00018439544,"about_ca_topic_score_gemma":0.00025942005,"teacher_disagreement_score":0.5628106,"about_ca_system_score_codex":0.000040449493,"about_ca_system_score_gemma":0.000061985134,"threshold_uncertainty_score":0.89946854},"labels":[],"label_agreement":null},{"id":"W4390298120","doi":"10.20944/preprints202312.2055.v1","title":"Existence of a Hölder Continuous extension on embedded balls of the 3-Torus for the Periodic Navier Stokes Equations","year":2023,"lang":"en","type":"preprint","venue":"Preprints.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"London Health Sciences Centre","funders":"","keywords":"Torus; Mathematics; Mathematical analysis; Navier–Stokes equations; Euler equations; Center (category theory); Cartesian coordinate system; Surface (topology); Physics; Mathematical physics; Combinatorics; Geometry; Compressibility; Crystallography","score_opus":0.309126512567912,"score_gpt":0.4047406446680793,"score_spread":0.09561413210016728,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390298120","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.985619,0.0005218417,0.008208876,0.000988043,0.0009820854,0.0025322684,0.00014078873,0.0000810629,0.00092604186],"genre_scores_gemma":[0.992066,0.000121591256,0.0010509093,0.000066773166,0.00010536082,0.00040526222,0.000017215862,0.00005439716,0.006112443],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9969163,0.00022884583,0.0010245388,0.0007018879,0.00082274614,0.00030569325],"domain_scores_gemma":[0.99255013,0.0026216784,0.0012739603,0.0027244585,0.00077226764,0.000057513218],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002045329,0.00035391498,0.00088005414,0.00020544232,0.0002159559,0.000026810627,0.0012656165,0.0003274869,0.00030144388],"category_scores_gemma":[0.0066455714,0.0002081489,0.0009628756,0.0006417526,0.00022957777,0.00003786236,0.0012966364,0.0006862627,0.00008317935],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016570104,0.009473046,0.38726807,0.01418338,0.017172424,0.00003160468,0.11400327,0.045636937,0.07673944,0.28795034,0.014833441,0.031051036],"study_design_scores_gemma":[0.0037498393,0.00036109673,0.58775836,0.0066494104,0.008317155,0.000013942173,0.019266043,0.03743372,0.041905235,0.2810785,0.010842379,0.0026243655],"about_ca_topic_score_codex":0.0001626369,"about_ca_topic_score_gemma":0.00007170328,"teacher_disagreement_score":0.20049027,"about_ca_system_score_codex":0.00006324501,"about_ca_system_score_gemma":0.00017627228,"threshold_uncertainty_score":0.8488065},"labels":[],"label_agreement":null},{"id":"W4390464158","doi":"10.48550/arxiv.2312.17158","title":"Causal convergence conditions through variable timelike Ricci curvature bounds","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Ricci curvature; Mathematical physics; Curvature; Geodesic; Energy condition; Physics; Constant curvature; Energy (signal processing); Mathematics; Mathematical analysis; General relativity; Geometry; Quantum mechanics","score_opus":0.1636348405001604,"score_gpt":0.24805350804429577,"score_spread":0.08441866754413538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390464158","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24002127,0.0004974642,0.6993155,0.00046959863,0.0052394834,0.0014137011,0.001254024,0.001833591,0.049955346],"genre_scores_gemma":[0.9419613,0.0003651376,0.002696615,0.00014124415,0.00027327842,0.000005370154,0.0004915405,0.00008373711,0.05398179],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972453,0.00017762704,0.0004413683,0.0012663583,0.0002529338,0.0006164115],"domain_scores_gemma":[0.9967735,0.0005521997,0.000518225,0.0014878769,0.00046275437,0.00020543582],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004564193,0.00056309847,0.0008481154,0.00043562183,0.00037945356,0.00014931681,0.0010535017,0.00088421366,0.0018035993],"category_scores_gemma":[0.00042922073,0.000608794,0.0005139707,0.0030345875,0.00018573937,0.0003270436,0.0010463186,0.0014064347,0.000901083],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026007676,0.00027975533,0.0027670912,0.00033372457,0.0012960233,0.00035533038,0.00028376476,0.027984107,0.00003497215,0.8313037,0.13532715,0.000008379456],"study_design_scores_gemma":[0.0005312388,0.000044585962,0.0008433712,0.000187184,0.0017190825,0.0000070705614,0.00042344083,0.028786752,0.000031441636,0.95016843,0.016328812,0.0009285665],"about_ca_topic_score_codex":0.00049588096,"about_ca_topic_score_gemma":0.00019345527,"teacher_disagreement_score":0.70194,"about_ca_system_score_codex":0.0002585291,"about_ca_system_score_gemma":0.0003386696,"threshold_uncertainty_score":0.99987686},"labels":[],"label_agreement":null},{"id":"W4390593729","doi":"10.56827/seajmms.2023.1902.27","title":"QUARTER SYMMETRIC NON-METRIC CONNECTION ON A (k, μ)−CONTACT METRIC MANIFOLD","year":2023,"lang":"en","type":"article","venue":"South East Asian J of Mathematics and Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Connection (principal bundle); Metric (unit); Manifold (fluid mechanics); Mathematics; Quarter (Canadian coin); Pure mathematics; Topology (electrical circuits); Metric dimension; Fisher information metric; Combinatorics; Fundamental theorem of Riemannian geometry; Mathematical analysis; Injective metric space; Geometry; Metric space; Ricci curvature; Engineering; Geography","score_opus":0.040357865291589176,"score_gpt":0.2866934796037409,"score_spread":0.24633561431215173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390593729","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83750355,0.0002103362,0.05066294,0.0015038829,0.00040218397,0.001575333,0.000056904322,0.00044315957,0.10764168],"genre_scores_gemma":[0.981567,0.000014371779,0.01768058,0.000036728532,0.00008403301,0.00004212207,0.0000033450965,0.000035959478,0.0005358405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960427,0.00007399878,0.0010989202,0.00062335056,0.0014662463,0.0006947617],"domain_scores_gemma":[0.9969121,0.0014541639,0.00064652966,0.0005320035,0.00016197689,0.00029318806],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003184604,0.00043264125,0.0010748236,0.003250785,0.0003401686,0.00022012525,0.00055193633,0.00020782715,0.00031874338],"category_scores_gemma":[0.0036462136,0.00029934166,0.00036031372,0.011937114,0.00020881102,0.00021203863,0.00015305146,0.0002710665,0.00040417258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011651442,0.00094854564,0.0006100239,0.001539041,0.00023934703,0.000017375842,0.007194413,0.00001598531,0.00014127254,0.9827335,0.0016653232,0.0048835594],"study_design_scores_gemma":[0.0013957439,0.0016483667,0.0038280492,0.0008477072,0.0006649497,0.00006939475,0.06062249,0.04997016,0.00038740778,0.8794288,0.0001424907,0.0009944321],"about_ca_topic_score_codex":0.0000047452386,"about_ca_topic_score_gemma":0.000002989487,"teacher_disagreement_score":0.14406344,"about_ca_system_score_codex":0.000037506798,"about_ca_system_score_gemma":0.00005452696,"threshold_uncertainty_score":0.9999459},"labels":[],"label_agreement":null},{"id":"W4390596852","doi":"10.4310/cag.2023.v31.n3.a5","title":"Deformation theory of nearly $G_2$ manifolds","year":2023,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Infinitesimal; Mathematics; Cohomology; Deformation theory; Spinor; Pure mathematics; Deformation (meteorology); Homogeneous; Space (punctuation); Order (exchange); Mathematical physics; Mathematical analysis; Combinatorics; Physics; Computer science","score_opus":0.061712234409487775,"score_gpt":0.3360439090629149,"score_spread":0.27433167465342717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390596852","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9759477,0.0014467385,0.016817559,0.00044404416,0.000021197555,0.00012794549,0.000017525965,0.00006747616,0.0051098405],"genre_scores_gemma":[0.99298614,0.0013742844,0.0049314885,0.000026335074,0.0000073481856,0.00001683492,0.000099459045,0.000008196212,0.000549916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9986943,0.0002125983,0.00055768946,0.00015307871,0.00022235449,0.00015998271],"domain_scores_gemma":[0.99720746,0.0009575454,0.00023172557,0.0014329884,0.0001268464,0.000043409178],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021672838,0.00010702291,0.000419254,0.003106504,0.00012392014,0.000042717198,0.00053681707,0.00009523943,0.00012354061],"category_scores_gemma":[0.0006175789,0.00009243302,0.00021798273,0.01529398,0.0001025424,0.00015701141,0.00031140627,0.00017357903,0.000022792517],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017939003,0.00050984987,0.3251081,0.00015528868,0.0026845692,0.0000019644776,0.0026873003,0.00037149424,0.0002088385,0.5762768,0.0010380758,0.0909398],"study_design_scores_gemma":[0.00041760693,0.00003685002,0.7668664,0.000041997362,0.0020005999,0.0000017266924,0.005478007,0.040098555,0.00009620076,0.18319744,0.0014651502,0.0002994608],"about_ca_topic_score_codex":0.00006883751,"about_ca_topic_score_gemma":0.00029001484,"teacher_disagreement_score":0.4417583,"about_ca_system_score_codex":0.000022447946,"about_ca_system_score_gemma":0.0000137767665,"threshold_uncertainty_score":0.734825},"labels":[],"label_agreement":null},{"id":"W4391212006","doi":"10.48550/arxiv.2401.12417","title":"On the existence of Monge solutions to multi-marginal optimal transport with quadratic cost and uniform discrete marginals","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Ansatz; Mathematics; Counterexample; Dimension (graph theory); Combinatorics; Quadratic equation; Regular polygon; Simple (philosophy); Computation; Discrete mathematics; Applied mathematics; Mathematical physics","score_opus":0.13141801081999815,"score_gpt":0.23426115264642516,"score_spread":0.10284314182642701,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391212006","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8508611,0.000079503276,0.14566977,0.00032854913,0.00006109889,0.00072314654,0.00014757314,0.000047722842,0.0020815362],"genre_scores_gemma":[0.9939126,0.00007557729,0.0028726605,0.00003214662,0.000019015712,0.0000064705046,0.000016498683,0.00002760065,0.0030374604],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985109,0.00007214118,0.00026879934,0.00064404024,0.00018137277,0.0003227683],"domain_scores_gemma":[0.9983888,0.00033103084,0.00021141763,0.00073485903,0.00016593383,0.00016792475],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046205756,0.00034511124,0.0005246582,0.00038542284,0.00015968387,0.000047493006,0.0004813068,0.00015936107,0.00008008523],"category_scores_gemma":[0.00008242595,0.00023800826,0.00022572302,0.0011169991,0.00020378968,0.000067869085,0.0003399467,0.00067584263,0.000021329237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000303061,0.0003320102,0.0015751591,0.00083399535,0.0009928115,0.00031464917,0.0015581499,0.114111245,0.000017219461,0.8794054,0.00043774245,0.00011858344],"study_design_scores_gemma":[0.0029242395,0.0016354306,0.021547332,0.0054120715,0.010775093,0.00004810035,0.014114471,0.67118526,0.00019717867,0.26755574,0.0011967241,0.003408374],"about_ca_topic_score_codex":0.00015304922,"about_ca_topic_score_gemma":0.00047973162,"teacher_disagreement_score":0.61184967,"about_ca_system_score_codex":0.0001002227,"about_ca_system_score_gemma":0.00012145112,"threshold_uncertainty_score":0.9705695},"labels":[],"label_agreement":null},{"id":"W4391215451","doi":"10.1007/s12220-023-01534-0","title":"A Sharp Sobolev Principle on the Graphic Submanifolds of $${\\mathbb {R}}^{n+m}$$","year":2024,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"National Natural Science Foundation of China","keywords":"Nabla symbol; Combinatorics; Unit sphere; Submanifold; Isoperimetric inequality; Ball (mathematics); Sobolev space; Unit (ring theory); Physics; Mathematics; Geometry; Omega; Mathematical analysis; Quantum mechanics","score_opus":0.04441936573476677,"score_gpt":0.32182299624671634,"score_spread":0.27740363051194955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391215451","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.912531,0.007861008,0.07372017,0.0014107698,0.0003599683,0.0001811645,0.000026491689,0.000043443106,0.0038659442],"genre_scores_gemma":[0.9963604,0.0006149878,0.0012818573,0.000079098994,0.00023683888,0.0000042186134,0.0000030465478,0.000029331266,0.0013901808],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99586266,0.00019739121,0.0015561803,0.00029558464,0.0017369728,0.000351192],"domain_scores_gemma":[0.9946524,0.0026528942,0.0011132287,0.00069454,0.00072331855,0.00016360707],"candidate_categories":["bibliometrics","insufficient_payload"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.004193594,0.00029674562,0.0012275234,0.0118671935,0.00011926422,0.00018636156,0.0008384328,0.0001623246,0.001346577],"category_scores_gemma":[0.0027011526,0.00016481015,0.0027063976,0.046156242,0.000077605044,0.00021565381,0.00009321193,0.00066942896,0.000037023747],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040755156,0.0046638343,0.05990318,0.0015792747,0.15318891,0.0010820803,0.0028051797,0.009249461,0.0013584106,0.61744124,0.10150558,0.046815295],"study_design_scores_gemma":[0.004573321,0.0064275917,0.22812851,0.0024138018,0.22945242,0.0007430303,0.009830341,0.10462116,0.0053967726,0.2428848,0.1609138,0.0046144687],"about_ca_topic_score_codex":0.000022649472,"about_ca_topic_score_gemma":0.000018903527,"teacher_disagreement_score":0.37455645,"about_ca_system_score_codex":0.0000983681,"about_ca_system_score_gemma":0.0001250555,"threshold_uncertainty_score":0.9995663},"labels":[],"label_agreement":null},{"id":"W4391540447","doi":"10.1007/s10107-023-02032-5","title":"A general framework for multi-marginal optimal transport","year":2024,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; University of Alberta","funders":"","keywords":"Mathematics; Numerical analysis; Mathematical optimization; Applied mathematics; Mathematical analysis","score_opus":0.0838021276641599,"score_gpt":0.3705421776047646,"score_spread":0.2867400499406047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391540447","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.025938159,0.00042688413,0.9716298,0.0002924263,0.00016666212,0.00071791763,0.000010456706,0.00043794842,0.00037975286],"genre_scores_gemma":[0.15304974,0.0000035373641,0.84451216,0.000037323152,0.00032672804,0.00032303893,0.0000148929985,0.00007009212,0.0016624595],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978886,0.000027455964,0.0005966173,0.0004682614,0.0004172446,0.00060180755],"domain_scores_gemma":[0.9984996,0.000829773,0.0000685217,0.00033639924,0.00008481706,0.00018092581],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089903007,0.0002992437,0.00053710694,0.00020543915,0.00013583597,0.00024578752,0.00025454146,0.00020425813,0.00034361816],"category_scores_gemma":[0.00079338945,0.00022599666,0.00057923316,0.00077874266,0.0000750887,0.00014718193,0.00003346639,0.00038704887,0.00009810157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016247357,0.00042519195,0.000027888509,0.0015565542,0.0002682277,0.000043192827,0.0009498878,0.000014284772,0.000026435957,0.94070923,0.0005042534,0.055458575],"study_design_scores_gemma":[0.0005103123,0.00021456918,0.000037685342,0.00071925984,0.0009220052,0.00006533924,0.0005409635,0.22479147,0.00016801576,0.7121964,0.05912058,0.00071340747],"about_ca_topic_score_codex":0.0000020087502,"about_ca_topic_score_gemma":0.0000019543186,"teacher_disagreement_score":0.22851287,"about_ca_system_score_codex":0.000047674228,"about_ca_system_score_gemma":0.000042444095,"threshold_uncertainty_score":0.92158765},"labels":[],"label_agreement":null},{"id":"W4391676783","doi":"10.1007/s00220-023-04908-1","title":"A Synthetic Null Energy Condition","year":2024,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Fields Institute for Research in Mathematical Sciences; Simons Foundation","keywords":"Complex system; Mathematics; Physics; Computer science; Artificial intelligence","score_opus":0.07362574837362798,"score_gpt":0.366288517279974,"score_spread":0.292662768906346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391676783","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00478448,0.002967507,0.8656591,0.0024577505,0.00013210201,0.0003119257,0.000022176928,0.00046205713,0.123202875],"genre_scores_gemma":[0.96958613,0.00017946048,0.029123586,0.00007272265,0.000054331285,0.00012299948,0.00003280799,0.000034990488,0.0007929382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987146,0.00014433436,0.00045916814,0.00022365748,0.00025100846,0.00020718008],"domain_scores_gemma":[0.9960641,0.0020284452,0.00006179296,0.0017239929,0.0000652541,0.00005635999],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047933837,0.00016194115,0.00031755626,0.00018101365,0.00009482642,0.00012885226,0.0006933345,0.00009387158,0.00026677846],"category_scores_gemma":[0.00045327624,0.00013850481,0.0001753559,0.001362466,0.0001643153,0.00018379446,0.00022758034,0.00032421885,0.00028667564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[8.228741e-7,0.00036198364,0.0000047381163,0.00012741766,0.000043841548,0.0000024781496,0.00032504252,0.000007833717,0.00004828606,0.9831661,0.0018172304,0.014094243],"study_design_scores_gemma":[0.00007046445,0.00001065595,0.0000068641507,0.00026286798,0.00008389505,0.000006004064,0.00014839295,0.07801397,0.00007069239,0.91309214,0.008091378,0.00014267552],"about_ca_topic_score_codex":0.0000056009394,"about_ca_topic_score_gemma":0.00000862261,"teacher_disagreement_score":0.96480167,"about_ca_system_score_codex":0.00008328861,"about_ca_system_score_gemma":0.000038740178,"threshold_uncertainty_score":0.5648062},"labels":[],"label_agreement":null},{"id":"W4391759910","doi":"10.4310/jdg/1707767335","title":"Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume","year":2024,"lang":"en","type":"article","venue":"Journal of Differential Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Lagrangian; Compactification (mathematics); Bounded function; Curvature; Mathematical physics; Hamiltonian (control theory); Mathematical analysis; Pure mathematics; Classical mechanics; Geometry; Physics; Mathematical optimization","score_opus":0.013202439492494972,"score_gpt":0.24949680967705568,"score_spread":0.2362943701845607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391759910","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99122655,0.0017444894,0.005906432,0.00045670036,0.0003852036,0.0001131616,0.000028762788,0.0000081729,0.00013050386],"genre_scores_gemma":[0.9978341,0.000053541302,0.0011842143,0.000006014269,0.00014248557,7.524107e-7,0.000004859576,0.00001876421,0.00075530447],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9983471,0.00008528079,0.0005801968,0.00013903639,0.0007023702,0.00014601191],"domain_scores_gemma":[0.9984317,0.00023013548,0.00066993205,0.0002392893,0.00035181915,0.000077119585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033621615,0.00016190257,0.00047022503,0.0005866953,0.00006141872,0.00008177772,0.00019372402,0.00011010678,0.00014894488],"category_scores_gemma":[0.0001488798,0.000092730246,0.00025728188,0.0015376315,0.00011164043,0.00020794847,0.000043721364,0.00037474718,9.5353823e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0028304977,0.0066978843,0.38605642,0.010134738,0.019677537,0.00020823261,0.01628498,0.00058722764,0.21583548,0.21704163,0.046097953,0.07854743],"study_design_scores_gemma":[0.001246544,0.0005986256,0.9782717,0.00082035054,0.0019389221,0.00027996098,0.0015266467,0.0013912463,0.0048092105,0.0072906297,0.00150602,0.00032014603],"about_ca_topic_score_codex":0.00001782293,"about_ca_topic_score_gemma":0.00002443051,"teacher_disagreement_score":0.5922153,"about_ca_system_score_codex":0.000037626116,"about_ca_system_score_gemma":0.00010110413,"threshold_uncertainty_score":0.37814295},"labels":[],"label_agreement":null},{"id":"W4392168587","doi":"10.1093/imrn/rnae020","title":"Simple Unbalanced Optimal Transport","year":2024,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Vetenskapsrådet; Natural Sciences and Engineering Research Council of Canada; Knut och Alice Wallenbergs Stiftelse","keywords":"Geodesic; Mathematics; Conical surface; Simple (philosophy); Buoyancy; Constant (computer programming); Geometry; Mathematical analysis; Computer science; Mechanics; Physics","score_opus":0.14517024571990364,"score_gpt":0.4592986788892061,"score_spread":0.3141284331693025,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392168587","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77156574,0.0011168157,0.07958088,0.0036805312,0.001316655,0.0007528927,0.00013732736,0.00062504865,0.14122412],"genre_scores_gemma":[0.9695394,0.000060163904,0.022295974,0.000023644447,0.00042637126,0.000055554687,0.000038944432,0.000045879813,0.007514063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996594,0.00006967532,0.0005301339,0.00039211367,0.0019649016,0.0004491365],"domain_scores_gemma":[0.9967334,0.002175002,0.00006912609,0.00036900994,0.00052148144,0.00013194235],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0024282495,0.00018615511,0.00029175563,0.0008213061,0.00012688758,0.00043748436,0.00079934864,0.000112641574,0.002524774],"category_scores_gemma":[0.0013256024,0.00014431939,0.00022022842,0.0011059806,0.00012143422,0.00040614157,0.000113799084,0.00055984117,0.0005789853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003013685,0.0007543955,0.0004822187,0.0010780233,0.0010715179,0.00028994452,0.0030281565,0.0005939342,0.001030726,0.95510525,0.032015435,0.0045202677],"study_design_scores_gemma":[0.00040492238,0.00012370473,0.000551788,0.000516688,0.00014403736,0.000032871398,0.0025587438,0.2508448,0.0012154094,0.6149093,0.12820841,0.0004893396],"about_ca_topic_score_codex":0.000028890103,"about_ca_topic_score_gemma":0.00003719533,"teacher_disagreement_score":0.34019598,"about_ca_system_score_codex":0.00012151456,"about_ca_system_score_gemma":0.000103543345,"threshold_uncertainty_score":0.99838704},"labels":[],"label_agreement":null},{"id":"W4392270811","doi":"10.48550/arxiv.2402.17075","title":"Continuous family of surfaces translating by powers of Gauss curvature","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ministry of Science and ICT, South Korea; University of Toronto; Pohang University of Science and Technology; National Research Foundation","keywords":"Curvature; Gaussian curvature; Gauss; Pure mathematics; Computer science; Mathematics; Art; Geometry; Physics; Quantum mechanics","score_opus":0.06480022678198105,"score_gpt":0.21223846158334114,"score_spread":0.1474382348013601,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392270811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9788784,0.0030757461,0.00697974,0.000050724895,0.00032521383,0.00029081147,0.00031642558,0.00008496717,0.009997964],"genre_scores_gemma":[0.9955422,0.00023707178,0.0007158641,0.000011863676,0.00002870596,3.7592733e-7,0.000044871664,0.000041751504,0.0033772406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981477,0.00011839265,0.00054210756,0.0006934406,0.00020955116,0.00028876166],"domain_scores_gemma":[0.9979392,0.0003006857,0.00066658645,0.00070185354,0.00029481557,0.00009680598],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00047539093,0.00038738592,0.0010683435,0.0004295232,0.00004115859,0.000029791549,0.0006426405,0.00057020166,0.00010526821],"category_scores_gemma":[0.00012976676,0.00038014934,0.0006778995,0.001432254,0.00014855445,0.00006831125,0.0003991801,0.0009211988,0.000009925897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008099666,0.003349238,0.036953855,0.025569076,0.021025846,0.0009527389,0.013343057,0.12824284,0.028418913,0.6062789,0.13063554,0.004420026],"study_design_scores_gemma":[0.0034688688,0.0005776387,0.0016625278,0.004557845,0.013879019,0.0000085479605,0.01691636,0.10130926,0.0061866213,0.84101045,0.006636558,0.0037863087],"about_ca_topic_score_codex":0.0002737811,"about_ca_topic_score_gemma":0.000051169478,"teacher_disagreement_score":0.23473155,"about_ca_system_score_codex":0.000056550216,"about_ca_system_score_gemma":0.00012110406,"threshold_uncertainty_score":0.99986506},"labels":[],"label_agreement":null},{"id":"W4392328912","doi":"10.1016/j.aim.2024.109579","title":"Flow by powers of the Gauss curvature in space forms","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Golder Associates (Canada)","funders":"National Key Research and Development Program of China; National Natural Science Foundation of China","keywords":"Mathematics; Mean curvature flow; Curvature; Sectional curvature; Space (punctuation); Mathematical analysis; Gaussian curvature; Flow (mathematics); Regular polygon; Euclidean space; Scalar curvature; Geodesic; Geometry; Pure mathematics","score_opus":0.009078828500605407,"score_gpt":0.2908529882591546,"score_spread":0.2817741597585492,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392328912","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53033686,0.16907834,0.11663027,0.005412217,0.003565414,0.0036553198,0.00027681948,0.00046742527,0.17057736],"genre_scores_gemma":[0.95503074,0.0013314985,0.0404205,0.000058664547,0.0000438385,0.000036694193,0.0000068549903,0.000055050637,0.0030161338],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99841267,0.000041673524,0.00058509444,0.00023234216,0.00044699237,0.0002812428],"domain_scores_gemma":[0.9985896,0.00067833916,0.00016533073,0.0004936504,0.00004037352,0.000032755266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007057466,0.00020555964,0.00044675748,0.00022680905,0.000026735226,0.00003775113,0.0004171257,0.00013408031,0.00010727229],"category_scores_gemma":[0.00069766975,0.00012184033,0.0001743121,0.0022054105,0.00007712138,0.00031920985,0.000088521316,0.0004159654,0.000011615581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018675899,0.0010703069,0.0041883644,0.0056451284,0.00019296266,0.000036483656,0.009842422,0.0024328171,0.0005575092,0.9391649,0.01968485,0.017165605],"study_design_scores_gemma":[0.00030196903,0.000029088718,0.00012791058,0.0011897316,0.000081291,0.000009251964,0.0020985084,0.026385508,0.0007490366,0.9331318,0.035613507,0.00028236097],"about_ca_topic_score_codex":0.00000435639,"about_ca_topic_score_gemma":0.000109285385,"teacher_disagreement_score":0.4246939,"about_ca_system_score_codex":0.0000688461,"about_ca_system_score_gemma":0.000032838827,"threshold_uncertainty_score":0.49685043},"labels":[],"label_agreement":null},{"id":"W4392352746","doi":"10.1515/ans-2022-0077","title":"Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces","year":2024,"lang":"en","type":"article","venue":"Advanced Nonlinear Studies","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Homogeneous; Regular polygon; Class (philosophy); Flow (mathematics); Nonlinear system; Scroll; Combinatorics; Point (geometry); Pure mathematics; Mathematical analysis; Geometry; Physics; Computer science; Theology","score_opus":0.0453670131600891,"score_gpt":0.3572085642588732,"score_spread":0.3118415510987841,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392352746","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95589185,0.03866316,0.0016574035,0.0003853919,0.0010027551,0.00038094417,0.000069629576,0.00022614082,0.001722716],"genre_scores_gemma":[0.8459363,0.0028914076,0.14890581,0.0000770896,0.00049631426,0.00003033311,0.00001976972,0.000079474215,0.0015634816],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9978492,0.000039184026,0.0007498242,0.00049176824,0.00046207305,0.00040795017],"domain_scores_gemma":[0.9973933,0.0014554549,0.00023145064,0.00040824944,0.0004329946,0.000078514866],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051924074,0.000354095,0.0010016006,0.00024746754,0.00015419605,0.000047110363,0.00023644182,0.00011566063,0.000058289424],"category_scores_gemma":[0.0013317587,0.000272298,0.0003391862,0.0011521267,0.00012588994,0.00018775719,0.00013690942,0.00032338285,0.00006490916],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013387697,0.0042252913,0.009087738,0.015288573,0.03993764,0.0024775784,0.03379333,0.018571667,0.17030124,0.015607541,0.015930051,0.6734406],"study_design_scores_gemma":[0.00648175,0.002270291,0.00064509,0.0042722793,0.0059844255,0.00026695273,0.06397113,0.36177066,0.09184787,0.019456359,0.4384536,0.0045795823],"about_ca_topic_score_codex":0.000010215286,"about_ca_topic_score_gemma":0.0000793764,"teacher_disagreement_score":0.668861,"about_ca_system_score_codex":0.000050598825,"about_ca_system_score_gemma":0.00006586054,"threshold_uncertainty_score":0.99997294},"labels":[],"label_agreement":null},{"id":"W4392455977","doi":"10.1007/s00440-024-01266-4","title":"Heat kernel for reflected diffusion and extension property on uniform domains","year":2024,"lang":"en","type":"article","venue":"Probability Theory and Related Fields","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Heat kernel; Mathematics; Dirichlet form; Isoperimetric inequality; Mathematical analysis; Poisson kernel; Gaussian measure; Gaussian; Pure mathematics; Dirichlet distribution; Boundary value problem","score_opus":0.025074303623354183,"score_gpt":0.28236526674090756,"score_spread":0.2572909631175534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392455977","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98047984,0.0013182809,0.008329426,0.0017990667,0.00026783484,0.0008495096,0.000007991439,0.00019799297,0.006750036],"genre_scores_gemma":[0.9929752,0.0002604937,0.00092993234,0.0001144004,0.000038251826,0.000027473146,0.000011615137,0.000017904253,0.0056247753],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882615,0.00015205782,0.0002880536,0.00042087954,0.00012467084,0.00018818249],"domain_scores_gemma":[0.99849045,0.0010645302,0.000022433613,0.00027663243,0.000068854606,0.00007708673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015546804,0.00017001582,0.00025859257,0.00011065093,0.00018478917,0.0000705429,0.000062268045,0.0004000951,0.0000853638],"category_scores_gemma":[0.00090501324,0.000087854176,0.0001078717,0.00035268808,0.000092889626,0.00008527074,0.000055966713,0.0004065412,0.0000045236548],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006415648,0.00034803955,0.00007446842,0.0009586331,0.00023101835,0.000011297804,0.0019737654,0.00001500553,0.0014105721,0.9565916,0.0012405013,0.036503557],"study_design_scores_gemma":[0.00040079394,0.00037315884,0.00016935407,0.00021377922,0.00018713513,0.000022407801,0.00013519388,0.0070546023,0.0002794909,0.9879208,0.0030724509,0.00017079913],"about_ca_topic_score_codex":0.0000051507645,"about_ca_topic_score_gemma":0.000008335542,"teacher_disagreement_score":0.036332756,"about_ca_system_score_codex":0.000025580883,"about_ca_system_score_gemma":0.000018591321,"threshold_uncertainty_score":0.35825893},"labels":[],"label_agreement":null},{"id":"W4393182544","doi":"10.1007/978-981-99-9750-3_11","title":"Tangent Bundles Endowed with Quarter-Symmetric Non-metric $$\\xi $$-Connection on 3-Dimensional Quasi-Sasakian Manifolds","year":2024,"lang":"en","type":"book-chapter","venue":"Infosys science foundation series","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Tangent; Mathematics; Connection (principal bundle); Tangent bundle; Pure mathematics; Metric (unit); Mathematical analysis; Quarter (Canadian coin); Geometry; Tangent space; Fundamental theorem of Riemannian geometry; Engineering; Scalar curvature; Geography; Curvature","score_opus":0.025545075724503388,"score_gpt":0.2699465346099199,"score_spread":0.24440145888541653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393182544","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016658017,0.00059596373,0.0058480464,0.0011015744,0.0037715107,0.0017606234,0.000101550664,0.0006213248,0.9695414],"genre_scores_gemma":[0.6501937,0.00013449085,0.0041530845,0.00022761723,0.0007717849,0.000108012784,0.00019025961,0.0001569435,0.34406412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9944344,0.00002633946,0.0009635424,0.0011890858,0.0027950758,0.00059152336],"domain_scores_gemma":[0.9965637,0.00046696706,0.0008095886,0.0009172223,0.0009836756,0.0002588858],"candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0013481256,0.0007550463,0.00082807237,0.0061809495,0.0007377874,0.0012157917,0.0006428852,0.00036436087,0.0014797772],"category_scores_gemma":[0.0004885249,0.000579591,0.00031877233,0.004832555,0.000574603,0.0012973039,0.0001608945,0.000635197,0.0018306243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009189764,0.00014522775,0.000041998395,0.00021379918,0.00028229793,0.00004437257,0.0003748272,0.00011876329,0.000091669805,0.9862601,0.0029423612,0.009392643],"study_design_scores_gemma":[0.0017439913,0.0077903247,0.0013453901,0.0021505067,0.0020713655,0.0005703201,0.0020055247,0.0035033694,0.0016796984,0.44431478,0.5287872,0.00403752],"about_ca_topic_score_codex":0.00006715002,"about_ca_topic_score_gemma":0.00032696224,"teacher_disagreement_score":0.6335357,"about_ca_system_score_codex":0.00070957566,"about_ca_system_score_gemma":0.00057886756,"threshold_uncertainty_score":0.99982107},"labels":[],"label_agreement":null},{"id":"W4394013209","doi":"10.1007/s13398-024-01584-1","title":"A class of the Newtonian HK-Sobolev spaces on metric measure spaces","year":2024,"lang":"es","type":"article","venue":"Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Sobolev space; Class (philosophy); Measure (data warehouse); Mathematics; Pure mathematics; Metric (unit); Metric space; Interpolation space; Mathematical analysis; Computer science; Economics; Functional analysis; Artificial intelligence; Operations management","score_opus":0.01654923088185387,"score_gpt":0.3030643483505854,"score_spread":0.2865151174687315,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394013209","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89478266,0.071556784,0.00029109328,0.009168084,0.0004901493,0.0014307351,0.00032932806,0.0004357287,0.02151545],"genre_scores_gemma":[0.9825474,0.012818672,0.0012942252,0.00048396032,0.0006515392,0.000053928685,0.000017482198,0.00018812902,0.001944665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99068755,0.0019419236,0.0017340299,0.0014253283,0.0025102664,0.0017009055],"domain_scores_gemma":[0.9910262,0.0051491666,0.0011216698,0.0015953963,0.00043648286,0.0006710468],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.0052101193,0.0012362482,0.0019925402,0.0013870276,0.00048072575,0.00248249,0.0023018955,0.002812217,0.0002677474],"category_scores_gemma":[0.0057635084,0.0008153068,0.0015305082,0.010418072,0.00096800755,0.00063866,0.0005873876,0.00595295,0.00014371712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034676417,0.00069132313,0.008798244,0.00981065,0.0022569774,0.0006077881,0.004219631,0.00020121256,0.014294029,0.9058326,0.037015833,0.015924977],"study_design_scores_gemma":[0.0020253786,0.0011648702,0.06181355,0.023454014,0.012658309,0.0018270477,0.0060443743,0.023712324,0.015825344,0.020366108,0.8264504,0.004658274],"about_ca_topic_score_codex":0.0001754551,"about_ca_topic_score_gemma":0.000013542741,"teacher_disagreement_score":0.88546646,"about_ca_system_score_codex":0.0013675034,"about_ca_system_score_gemma":0.0012228141,"threshold_uncertainty_score":0.99942976},"labels":[],"label_agreement":null},{"id":"W4394106053","doi":"10.6084/m9.figshare.1564642.v1","title":"Curvature Tensor on Para-Sasakian Manifold admitting Quarter Symmetric Metric Connection","year":2015,"lang":"en","type":"dataset","venue":"Figshare","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Riemann curvature tensor; Curvature; Mathematics; Metric (unit); Pure mathematics; Manifold (fluid mechanics); Metric connection; Tensor (intrinsic definition); Metric tensor; Quarter (Canadian coin); Geometry; Mathematical analysis; Scalar curvature; Fundamental theorem of Riemannian geometry; Geography; Engineering","score_opus":0.10936414969425902,"score_gpt":0.3296226858270008,"score_spread":0.22025853613274182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394106053","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000007940807,0.001376094,0.0000024897226,0.00007470135,0.00041007478,0.00064982387,0.9955289,0.00017169403,0.0017782784],"genre_scores_gemma":[0.00042777503,0.000020423911,0.00016930241,0.00046848046,0.0015164076,0.0002795148,0.99568665,0.000096822005,0.0013346378],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9953466,0.00025218975,0.00092665304,0.0010862554,0.001605047,0.00078324316],"domain_scores_gemma":[0.99418783,0.0017004482,0.0012335334,0.0016288115,0.0008448277,0.0004045598],"candidate_categories":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005417506,0.0009301513,0.0013591317,0.0033464455,0.0002223959,0.00036314153,0.0009939002,0.0015091235,0.11719555],"category_scores_gemma":[0.024915056,0.00076481304,0.00067003345,0.0070165023,0.000006108598,0.00020581679,0.00021469814,0.0019292919,0.014339085],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001652908,0.00027498035,0.0000033450399,0.0007830843,0.00035748872,0.00008841929,0.000014962443,0.0000040070345,1.0319466e-7,0.00003541771,0.99797684,0.0004448444],"study_design_scores_gemma":[0.00047440294,0.00032004414,0.00011099823,0.0016638193,0.00060173665,0.000032338703,0.000098082455,0.00007735095,0.0000058107794,0.00036445973,0.9953743,0.0008766303],"about_ca_topic_score_codex":0.000036761612,"about_ca_topic_score_gemma":0.00007985867,"teacher_disagreement_score":0.102856465,"about_ca_system_score_codex":0.00031772626,"about_ca_system_score_gemma":0.00017510989,"threshold_uncertainty_score":0.99978715},"labels":[],"label_agreement":null},{"id":"W4394318443","doi":"10.6084/m9.figshare.1111763","title":"CR-submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric non-metric connection","year":2014,"lang":"en","type":"dataset","venue":"Figshare","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric connection; Quarter (Canadian coin); Metric (unit); Manifold (fluid mechanics); Pure mathematics; Mathematics; Mathematical analysis; Geometry; Geography; Fundamental theorem of Riemannian geometry; Engineering; Scalar curvature; Curvature","score_opus":0.0259724337730867,"score_gpt":0.25845513237487694,"score_spread":0.23248269860179024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394318443","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00010048048,0.00045784458,0.0000837722,0.000024598517,0.00010838219,0.0007318717,0.9974727,0.00006855709,0.0009517708],"genre_scores_gemma":[0.017513705,0.000024362973,0.00023487113,0.00011161735,0.00046036352,0.00028095537,0.9809734,0.00009426385,0.00030643345],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99619675,0.00014744262,0.0009810813,0.0008281014,0.0012126237,0.0006340086],"domain_scores_gemma":[0.9956193,0.0008923148,0.0011680556,0.0014946866,0.00057988794,0.00024577236],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00031665608,0.0007906232,0.0016867731,0.0031583554,0.00013173722,0.00019320693,0.0009208499,0.0009410747,0.0803472],"category_scores_gemma":[0.0018146563,0.0006250499,0.0006327878,0.007147836,0.000013777871,0.00019035993,0.00008735724,0.0008518549,0.001519194],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029615563,0.00028841416,0.0000075601274,0.002743687,0.00047774994,0.000035216188,0.000050265375,0.0000044605085,0.0000013831527,0.000023481736,0.99588597,0.00045218805],"study_design_scores_gemma":[0.0010457956,0.0008301418,0.0006388808,0.0025863857,0.0012147106,0.00006084719,0.000100691825,0.00016232215,0.000023984756,0.000118004784,0.9923218,0.0008964543],"about_ca_topic_score_codex":0.00025751736,"about_ca_topic_score_gemma":0.0005322327,"teacher_disagreement_score":0.07882801,"about_ca_system_score_codex":0.000102978076,"about_ca_system_score_gemma":0.00015735431,"threshold_uncertainty_score":0.9996201},"labels":[],"label_agreement":null},{"id":"W4394603811","doi":"10.1007/s11587-024-00851-y","title":"On Ricci solitons with quarter-symmetric connection","year":2024,"lang":"en","type":"article","venue":"Ricerche di Matematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Connection (principal bundle); Mathematics; Pure mathematics; Physics; Geometry; History","score_opus":0.036872284363455965,"score_gpt":0.3058732423645665,"score_spread":0.2690009580011105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394603811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5685418,0.0014883208,0.17259923,0.0035066735,0.0011325077,0.0017464776,0.00005311312,0.0019621204,0.24896975],"genre_scores_gemma":[0.9936685,0.0000205737,0.0033322447,0.00009396267,0.00013690462,0.0000853436,0.000014818457,0.00005637768,0.0025912798],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979165,0.00015190276,0.00048196976,0.0004285421,0.00063043885,0.0003906485],"domain_scores_gemma":[0.99687374,0.0021962563,0.00012094959,0.0005545455,0.000119642624,0.00013486449],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00082960847,0.00030219165,0.0005201059,0.0008840984,0.00013099148,0.00032749167,0.00021024299,0.00015683594,0.0006564977],"category_scores_gemma":[0.0007255795,0.00018938155,0.00020479789,0.0035403387,0.000037077018,0.00018582077,0.000031537245,0.0003827955,0.001218896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000402127,0.0005122086,0.00006056501,0.0026537853,0.00072740973,0.00007705604,0.0009496624,0.000054156633,0.00011809759,0.95021075,0.04286904,0.0017270403],"study_design_scores_gemma":[0.0017957522,0.0022265965,0.0028480205,0.0033082047,0.0038446137,0.00034014767,0.005246983,0.0898531,0.0017500744,0.8726593,0.013710602,0.0024165704],"about_ca_topic_score_codex":0.00001995033,"about_ca_topic_score_gemma":0.000011974906,"teacher_disagreement_score":0.4251267,"about_ca_system_score_codex":0.00013476453,"about_ca_system_score_gemma":0.000052102703,"threshold_uncertainty_score":0.99955875},"labels":[],"label_agreement":null},{"id":"W4394688045","doi":"10.56754/0719-0646.2601.153","title":"Quarter-symmetric metric connection on a p-Kenmotsu manifold","year":2024,"lang":"en","type":"article","venue":"Cubo","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Quarter (Canadian coin); Connection (principal bundle); Manifold (fluid mechanics); Metric (unit); Mathematics; Topology (electrical circuits); Metric connection; Pure mathematics; Geometry; Combinatorics; Geography; Engineering; Fundamental theorem of Riemannian geometry; Operations management; Mechanical engineering; Archaeology","score_opus":0.037811065984026476,"score_gpt":0.3024892599953194,"score_spread":0.2646781940112929,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394688045","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5465983,0.012607351,0.064745545,0.0025592952,0.0056056934,0.0010590967,0.000046587793,0.0019735855,0.3648045],"genre_scores_gemma":[0.9928692,0.000056770084,0.00058391166,0.00012930113,0.0003829429,0.000022086646,0.0000098926785,0.000033629403,0.0059122737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9985384,0.000058557853,0.0003124396,0.0003857922,0.0004311949,0.0002736652],"domain_scores_gemma":[0.99863803,0.0007560541,0.00006580652,0.0003786959,0.000070267946,0.00009113614],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00052462757,0.00019637971,0.00029876723,0.0019848954,0.00008561942,0.00020112914,0.00016370617,0.00013597685,0.0007990337],"category_scores_gemma":[0.00067046843,0.00015329772,0.00027439394,0.0072213276,0.000010863911,0.00012630477,0.000027137921,0.00028193198,0.0013526449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014488,0.000363242,0.00024052105,0.00028290472,0.00043223292,0.00009662897,0.0003369041,0.000016773445,0.0001301818,0.70516384,0.2501425,0.04277976],"study_design_scores_gemma":[0.0016315788,0.0016890535,0.0074100634,0.0005168504,0.0019139743,0.0001714817,0.0020863458,0.03423712,0.0023417263,0.30633155,0.6399564,0.0017138174],"about_ca_topic_score_codex":0.000022245938,"about_ca_topic_score_gemma":0.000009534513,"teacher_disagreement_score":0.44627085,"about_ca_system_score_codex":0.00010352589,"about_ca_system_score_gemma":0.000024669574,"threshold_uncertainty_score":0.99942493},"labels":[],"label_agreement":null},{"id":"W4394765882","doi":"10.1007/s10711-024-00920-4","title":"Betti numbers of nearly $$G_2$$ and nearly Kähler 6-manifolds with Weyl curvature bounds","year":2024,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Betti number; Mathematics; Curvature; Sectional curvature; Differential geometry; Pure mathematics; Mathematical analysis; Type (biology); Harmonic; Zero (linguistics); Scalar curvature; Geometry; Physics; Quantum mechanics","score_opus":0.01994757310217523,"score_gpt":0.2815604717716166,"score_spread":0.2616128986694414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394765882","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9457273,0.026251586,0.01400556,0.0023357074,0.0008156825,0.0007109441,0.00026531113,0.00044437379,0.009443568],"genre_scores_gemma":[0.9881926,0.00035412773,0.006715932,0.00015954066,0.00041986452,0.000023672286,0.00009478319,0.000092232265,0.0039472287],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99676913,0.00007725905,0.0006777747,0.00075144245,0.001150204,0.00057418],"domain_scores_gemma":[0.9974231,0.00085203483,0.0002530828,0.0009298055,0.00023242393,0.00030954892],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013822312,0.00041639307,0.0008168421,0.001473492,0.00014717171,0.00041687963,0.0005369591,0.0003778268,0.0006652777],"category_scores_gemma":[0.000864611,0.00030212937,0.00024685348,0.00729517,0.0002650888,0.00047344953,0.00019998399,0.0006825347,0.00008957199],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005143019,0.0015168382,0.053527176,0.0047401637,0.010207345,0.0006727376,0.0056355232,0.000022325674,0.0013430438,0.1410459,0.60773045,0.1730442],"study_design_scores_gemma":[0.0054407488,0.0023119678,0.048232686,0.0021246492,0.006606573,0.0004271946,0.0023228065,0.001953317,0.0013397116,0.04644351,0.8796851,0.0031117455],"about_ca_topic_score_codex":0.00018860107,"about_ca_topic_score_gemma":0.000087065695,"teacher_disagreement_score":0.27195466,"about_ca_system_score_codex":0.0000526751,"about_ca_system_score_gemma":0.00017687677,"threshold_uncertainty_score":0.9999431},"labels":[],"label_agreement":null},{"id":"W4394779347","doi":"10.1016/j.aim.2024.109640","title":"The Allen-Cahn equation on the complete Riemannian manifolds of finite volume","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Mathematics; Hypersurface; Allen–Cahn equation; Riemannian manifold; Morse code; Finite volume method; Metric (unit); Minimal volume; Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Mathematical physics; Ricci curvature; Geometry; Hermitian manifold; Physics","score_opus":0.054080087732025155,"score_gpt":0.3126571459262434,"score_spread":0.2585770581942182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394779347","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.087472364,0.047721963,0.63659984,0.016886648,0.0028679708,0.0040232874,0.00015851903,0.00060045556,0.20366895],"genre_scores_gemma":[0.97950524,0.001826779,0.013153436,0.000109986715,0.00013594158,0.00008647484,0.00000783163,0.000052611416,0.0051216995],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981896,0.00010678051,0.00068060623,0.00020904883,0.00055826973,0.00025566856],"domain_scores_gemma":[0.9931486,0.0058553177,0.00024357387,0.0006396426,0.00008434885,0.000028502525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016681314,0.00019507267,0.0003283155,0.00015438283,0.00015126342,0.000108099455,0.00048051254,0.00007250987,0.00017918668],"category_scores_gemma":[0.0015155959,0.000100804435,0.00017100599,0.0007833637,0.00012085899,0.0001718106,0.00007037104,0.0002844755,0.0001396501],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006604515,0.00012967485,0.00005664384,0.0004374099,0.00008485404,0.000006297727,0.0021356412,0.00081830553,0.000015593389,0.98649246,0.002016081,0.007800421],"study_design_scores_gemma":[0.000097901444,0.000061559,0.000077715515,0.00037570437,0.000076273136,0.000002813137,0.0016859033,0.12622549,0.000037579095,0.793043,0.078171805,0.00014423234],"about_ca_topic_score_codex":0.000003171154,"about_ca_topic_score_gemma":0.00007386895,"teacher_disagreement_score":0.89203286,"about_ca_system_score_codex":0.000042706146,"about_ca_system_score_gemma":0.000023167782,"threshold_uncertainty_score":0.41106856},"labels":[],"label_agreement":null},{"id":"W4395050863","doi":"10.1515/crelle-2024-0022","title":"On κ-solutions and\\break canonical neighborhoods in 4d Ricci flow","year":2024,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Ricci flow; Flow (mathematics); Mathematics; Ricci curvature; Geometry","score_opus":0.03569887228153164,"score_gpt":0.33629850966790065,"score_spread":0.300599637386369,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395050863","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46358395,0.29438528,0.16350374,0.027343407,0.0042692167,0.0012953886,0.00012228932,0.0005388464,0.044957884],"genre_scores_gemma":[0.9420315,0.025288181,0.023808477,0.00039627464,0.002577688,0.000022872813,0.000010561334,0.00023034238,0.005634078],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99561375,0.00033247893,0.0016020878,0.00047033603,0.0010723204,0.0009090458],"domain_scores_gemma":[0.9965,0.0016824587,0.00050785707,0.00043146932,0.0002545598,0.00062364346],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.003209932,0.00058183714,0.0010862087,0.0016364811,0.0007866781,0.0016255149,0.00048164194,0.0003135043,0.00078184245],"category_scores_gemma":[0.0015271396,0.0003971015,0.00072533946,0.0015156902,0.00012477097,0.0005449558,0.0001604184,0.0025577017,0.000072563715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041238288,0.0031948949,0.0005153347,0.0017075121,0.0052541373,0.010618454,0.006845793,0.0030938168,0.0011971339,0.6908324,0.18086532,0.095462844],"study_design_scores_gemma":[0.0025635012,0.0008466525,0.00033735004,0.0042542573,0.0014548907,0.0103605185,0.0013601263,0.031849463,0.0001784793,0.864553,0.08102824,0.0012135553],"about_ca_topic_score_codex":0.000017583234,"about_ca_topic_score_gemma":0.000153546,"teacher_disagreement_score":0.4784476,"about_ca_system_score_codex":0.0004179928,"about_ca_system_score_gemma":0.00037016565,"threshold_uncertainty_score":0.99984807},"labels":[],"label_agreement":null},{"id":"W4395445772","doi":"10.1007/s12220-024-01660-3","title":"Correction: A Prescribed Scalar and Boundary Mean Curvature Problem and the Yamabe Classification on Asymptotically Euclidean Manifolds with Inner Boundary","year":2024,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Scalar curvature; Boundary (topology); Mathematics; Yamabe flow; Curvature; Mean curvature; Mathematical analysis; Euclidean geometry; Pure mathematics; Geometry; Sectional curvature","score_opus":0.014616821119351395,"score_gpt":0.2568966673740172,"score_spread":0.24227984625466578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395445772","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6369582,0.06340845,0.25978616,0.01958713,0.0014279226,0.0013608446,0.00004165615,0.0002408607,0.017188782],"genre_scores_gemma":[0.9921928,0.0010676485,0.0035186033,0.00020669107,0.0003266467,0.00000955479,0.00000941941,0.0000379509,0.0026307101],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.99654406,0.00033121,0.0010386059,0.0004583029,0.0013087334,0.0003190685],"domain_scores_gemma":[0.99593186,0.0020117518,0.000704545,0.00043364518,0.00069292606,0.00022527578],"candidate_categories":["scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0035956874,0.00035141225,0.0010576302,0.0042602085,0.00037973936,0.0011448037,0.00030002,0.0002226214,0.00014079644],"category_scores_gemma":[0.0011180008,0.00018476357,0.00055737223,0.016005922,0.00033557139,0.0004427083,0.00007617723,0.0010838796,0.000005936718],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.005977253,0.0031116784,0.10628693,0.0020611337,0.13947462,0.0010682481,0.010293927,0.0025343576,0.00015840936,0.15406214,0.23700571,0.3379656],"study_design_scores_gemma":[0.013289033,0.005736532,0.29010093,0.0022678645,0.16545436,0.0034905635,0.009669346,0.20573848,0.00010796021,0.11247718,0.18842858,0.0032391723],"about_ca_topic_score_codex":0.000026483734,"about_ca_topic_score_gemma":0.000086067725,"teacher_disagreement_score":0.3552346,"about_ca_system_score_codex":0.00013337354,"about_ca_system_score_gemma":0.0001711944,"threshold_uncertainty_score":0.9998921},"labels":[],"label_agreement":null},{"id":"W4395482201","doi":"10.1007/s00208-024-02869-x","title":"Flatness of anisotropic minimal graphs in $${\\mathbb {R}}^{n+1}$$","year":2024,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Office of the Provost, Johns Hopkins University","keywords":"Mathematics; Flatness (cosmology); Combinatorics; Anisotropy; Pure mathematics; Discrete mathematics; Geometry; Physics; Quantum mechanics","score_opus":0.031802076771256446,"score_gpt":0.2934292963997531,"score_spread":0.26162721962849667,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395482201","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64474857,0.3031479,0.011707084,0.002175573,0.0029020577,0.0022860859,0.00185128,0.0005525288,0.030628897],"genre_scores_gemma":[0.95602775,0.0041542607,0.024852594,0.00009044578,0.0006451017,0.00015699028,0.00019400814,0.00026097434,0.0136178695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953651,0.00023252857,0.0018116108,0.00082816905,0.00097413064,0.0007885043],"domain_scores_gemma":[0.99690354,0.0012275052,0.0004412117,0.0010244478,0.00021614629,0.0001871572],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0013326807,0.00066145894,0.0015677691,0.001617282,0.00007778948,0.0002751885,0.0007463028,0.00050775456,0.008561704],"category_scores_gemma":[0.00060292124,0.0005716145,0.00084896025,0.0041449694,0.00018882689,0.0004130349,0.0002694058,0.00076079764,0.0013599956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001435298,0.0033468108,0.0019274849,0.031995278,0.0051649357,0.0012912591,0.02156254,0.000038805585,0.0017398435,0.5304661,0.32385498,0.078468464],"study_design_scores_gemma":[0.0024701813,0.0009989744,0.00520825,0.018068137,0.0052576116,0.00014696477,0.0051469277,0.061128844,0.0021862173,0.45901585,0.43701974,0.0033523089],"about_ca_topic_score_codex":0.00004773813,"about_ca_topic_score_gemma":0.00005186705,"teacher_disagreement_score":0.31127918,"about_ca_system_score_codex":0.00006849356,"about_ca_system_score_gemma":0.00021726915,"threshold_uncertainty_score":0.99967355},"labels":[],"label_agreement":null},{"id":"W4396717536","doi":"10.1016/j.aim.2024.109702","title":"Total masses of solutions to general Toda systems with singular sources","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Taiwan University; Natural Sciences and Engineering Research Council of Canada; Department of Atomic Energy, Government of India; Simons Foundation","keywords":"Mathematics; Toda lattice; Pure mathematics; Algebra over a field; Mathematical analysis; Integrable system","score_opus":0.02173262994807799,"score_gpt":0.29837402554863834,"score_spread":0.27664139560056034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396717536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57865596,0.022507079,0.38669944,0.00014930071,0.00048575382,0.000659282,0.000028126895,0.00018640123,0.010628675],"genre_scores_gemma":[0.80029285,0.00015639156,0.1972532,0.000010456133,0.00012357943,0.00005572348,0.0000039606525,0.00004217156,0.0020616474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848735,0.00003555753,0.00052868976,0.00023515626,0.00042391632,0.00028931253],"domain_scores_gemma":[0.9988977,0.00048654363,0.00011559789,0.00034561416,0.00009159348,0.00006299806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048115468,0.00018809804,0.00047494075,0.0003692096,0.000050230734,0.00008704764,0.00018513139,0.00006465685,0.000048077018],"category_scores_gemma":[0.00028073994,0.00013274308,0.00009395145,0.0013932601,0.000053077874,0.00024852407,0.00006187007,0.00013639645,0.00001838244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010724113,0.00042295142,0.0007937761,0.0036874665,0.00022316973,0.000049060505,0.003303257,0.028338216,0.0003923589,0.9589613,0.00080358295,0.0030141308],"study_design_scores_gemma":[0.0010607202,0.0008603348,0.00037719597,0.008475095,0.0012118726,0.0003603974,0.021107623,0.22663563,0.0016090403,0.6626243,0.07361717,0.0020606047],"about_ca_topic_score_codex":0.000014945374,"about_ca_topic_score_gemma":0.000048575483,"teacher_disagreement_score":0.29633698,"about_ca_system_score_codex":0.000049601247,"about_ca_system_score_gemma":0.000040568586,"threshold_uncertainty_score":0.54131055},"labels":[],"label_agreement":null},{"id":"W4396867864","doi":"10.1007/s00209-024-03503-x","title":"Extrinsic geometry of calibrated submanifolds","year":2024,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Geometry; Pure mathematics","score_opus":0.02508393973798234,"score_gpt":0.2779387900725913,"score_spread":0.25285485033460897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396867864","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25449896,0.4814085,0.113672026,0.0021681362,0.009012584,0.0031202852,0.0010962866,0.0020210203,0.1330022],"genre_scores_gemma":[0.97313493,0.0017070957,0.0098999,0.00008139118,0.0010585223,0.000048651647,0.00010581013,0.00029105667,0.013672661],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99383414,0.00028868706,0.002250884,0.0010945433,0.001519302,0.001012439],"domain_scores_gemma":[0.99539095,0.0015895611,0.0006354692,0.0016326809,0.00037581826,0.00037550944],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0021244274,0.0009547283,0.0019752728,0.0018289518,0.0001666448,0.00061961415,0.0009488832,0.00087752106,0.0087398505],"category_scores_gemma":[0.0010674971,0.00078875996,0.0011659943,0.0068968916,0.00022129188,0.0006253007,0.00042713282,0.0011032369,0.004934093],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034364093,0.0010312184,0.00033459504,0.011818717,0.0045837583,0.00034373443,0.0026321488,0.000031512176,0.0023060846,0.871914,0.094250835,0.010718993],"study_design_scores_gemma":[0.0018917756,0.0006964275,0.0009374422,0.008338296,0.011769797,0.00019178633,0.00250771,0.042820264,0.019296953,0.026020464,0.8822193,0.0033097744],"about_ca_topic_score_codex":0.00009051113,"about_ca_topic_score_gemma":0.000013751354,"teacher_disagreement_score":0.84589356,"about_ca_system_score_codex":0.000022111499,"about_ca_system_score_gemma":0.0003461921,"threshold_uncertainty_score":0.99945635},"labels":[],"label_agreement":null},{"id":"W4397001137","doi":"10.1090/tran/9100","title":"Almost isotropy-maximal manifolds of non-negative curvature","year":2024,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fields Institute for Research in Mathematical Sciences; National Security Agency; Max-Planck-Institut für Mathematik in den Naturwissenschaften; Simons Foundation; National Science Foundation","keywords":"Mathematics; Isotropy; Curvature; Pure mathematics; Negative curvature; Mathematical analysis; Geometry; Physics","score_opus":0.01640698493779669,"score_gpt":0.29019203071538785,"score_spread":0.27378504577759116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4397001137","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2190873,0.00020148224,0.7746023,0.0014564958,0.00015614434,0.0004508793,0.000116744326,0.000112728,0.0038159483],"genre_scores_gemma":[0.92828643,0.000051164854,0.0702264,0.0000645089,0.00004358584,0.000021356489,0.0000012322126,0.00003584728,0.0012694749],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982201,0.00007045233,0.0005971384,0.00026520956,0.000579729,0.0002673678],"domain_scores_gemma":[0.9978533,0.0010230577,0.0003036227,0.0005985574,0.00014548187,0.0000760223],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041570485,0.00023764111,0.0007212516,0.00007367785,0.00012120623,0.00003156365,0.00046470395,0.00009917537,0.00063597684],"category_scores_gemma":[0.00014242194,0.00014735371,0.0014079711,0.0023375112,0.0006623399,0.000120604935,0.000031609314,0.0004747931,0.00002340006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048451484,0.0126272915,0.001082514,0.022780595,0.033706293,0.000028143284,0.0874195,0.0022140788,0.07225376,0.55117464,0.1377907,0.078437954],"study_design_scores_gemma":[0.0012948407,0.0010186689,0.0037930226,0.0018381322,0.007804227,0.00009870625,0.025165135,0.1113213,0.034455735,0.80853194,0.003157987,0.0015202829],"about_ca_topic_score_codex":0.00005921566,"about_ca_topic_score_gemma":0.0000053513872,"teacher_disagreement_score":0.70919913,"about_ca_system_score_codex":0.00005814098,"about_ca_system_score_gemma":0.00007263748,"threshold_uncertainty_score":0.69635004},"labels":[],"label_agreement":null},{"id":"W4399264334","doi":"10.1007/s11118-024-10144-6","title":"Construction of a Dirichlet form on Metric Measure Spaces of Controlled Geometry","year":2024,"lang":"lv","type":"article","venue":"Potential Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of the Fraser Valley","funders":"National Science Foundation","keywords":"Mathematics; Measure (data warehouse); Metric (unit); Potential theory; Geometry; Dirichlet distribution; Metric space; Functional analysis; Mathematical analysis; Pure mathematics; Computer science; Data mining; Engineering","score_opus":0.01261399993032859,"score_gpt":0.2551941038456105,"score_spread":0.2425801039152819,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399264334","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7260335,0.03635334,0.22868644,0.00091806945,0.0014623133,0.0009896687,0.00046978254,0.0001347781,0.004952098],"genre_scores_gemma":[0.9948412,0.0008390846,0.0021849107,0.0000164567,0.000249031,0.000016462005,0.00006855043,0.00004108536,0.0017431931],"study_design_codex":"meta_analysis","study_design_gemma":"meta_analysis","domain_scores_codex":[0.9945265,0.00029854686,0.0019542044,0.0007364195,0.0020023133,0.00048202922],"domain_scores_gemma":[0.9958332,0.0009858926,0.001265585,0.0008181689,0.00091788004,0.00017923962],"candidate_categories":["metaepi_narrow","bibliometrics","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0020293451,0.0005417841,0.0032882525,0.009642735,0.00012357681,0.00022220133,0.00041838657,0.00043868218,0.0020494205],"category_scores_gemma":[0.0015446834,0.00040822965,0.0046267463,0.030877916,0.0002212732,0.00021250913,0.00010702131,0.00048071082,0.000057530666],"study_design_candidate":"meta_analysis","study_design_consensus":"meta_analysis","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0040916875,0.0068945214,0.017453203,0.009245426,0.58009535,0.00026932114,0.0032349771,0.03418182,0.0062577236,0.17172544,0.0054842513,0.16106625],"study_design_scores_gemma":[0.00912599,0.0015768858,0.006483266,0.001212107,0.48816112,0.000034995435,0.006223457,0.4535162,0.0059359754,0.023739183,0.0019694918,0.0020213525],"about_ca_topic_score_codex":0.00037281204,"about_ca_topic_score_gemma":0.00009025113,"teacher_disagreement_score":0.41933438,"about_ca_system_score_codex":0.000112518406,"about_ca_system_score_gemma":0.0001340774,"threshold_uncertainty_score":0.999837},"labels":[],"label_agreement":null},{"id":"W4399401516","doi":"10.48550/arxiv.2406.01550","title":"Effective Field Theory of Conformal Boundaries","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"York University; National Science Foundation","keywords":"Conformal map; Boundary conformal field theory; Field (mathematics); Conformal field theory; Theoretical physics; Quantum electrodynamics; Physics; Mathematics; Geometry; Boundary (topology); Pure mathematics; Mathematical analysis","score_opus":0.054238269586347136,"score_gpt":0.2094174520433911,"score_spread":0.15517918245704396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399401516","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85890055,0.00054101256,0.09658775,0.00005370817,0.00087360124,0.0005092213,0.00006227447,0.00015227354,0.042319633],"genre_scores_gemma":[0.9938241,0.000043684133,0.00019016175,0.00003432404,0.000082081155,0.0000013533236,0.000011939144,0.00002087762,0.005791436],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988325,0.0001277243,0.00025177302,0.000463756,0.00010478569,0.000219415],"domain_scores_gemma":[0.9979818,0.0008717858,0.0002630952,0.000619214,0.00019133031,0.00007277088],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00055136625,0.00027264288,0.00057484285,0.00041529234,0.00009869898,0.0001036543,0.00043870672,0.00039717884,0.00039739374],"category_scores_gemma":[0.00042916185,0.00025280606,0.00051063945,0.00068911223,0.00021302883,0.00007312489,0.0010195927,0.00081999006,0.00006097828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000108269705,0.00007481112,0.00042734604,0.00079092983,0.0009492813,0.00008493157,0.0006436758,0.0010395568,0.000006164737,0.99221194,0.0023587737,0.00130431],"study_design_scores_gemma":[0.00022779776,0.00009482642,0.00017520727,0.0002069725,0.0011747007,0.0000019815648,0.00074377237,0.006142685,0.00043765848,0.98889,0.0016080884,0.00029629498],"about_ca_topic_score_codex":0.00008235618,"about_ca_topic_score_gemma":0.000049660073,"teacher_disagreement_score":0.1349236,"about_ca_system_score_codex":0.00007533681,"about_ca_system_score_gemma":0.00017699458,"threshold_uncertainty_score":0.99999243},"labels":[],"label_agreement":null},{"id":"W4400086721","doi":"10.1007/s00209-024-03524-6","title":"Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows","year":2024,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Ricci flow; Ricci curvature; Completeness (order theory); Curvature of Riemannian manifolds; Curvature; Pure mathematics; Scalar curvature; Mathematical analysis; Sectional curvature; Geometry","score_opus":0.056474075998917544,"score_gpt":0.3262500334260929,"score_spread":0.2697759574271753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400086721","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35038966,0.0138884755,0.61545783,0.0011404158,0.0007955653,0.0024529384,0.0004953406,0.0005917094,0.014788052],"genre_scores_gemma":[0.838721,0.00006547433,0.15986496,0.000077568824,0.00023017197,0.0001210417,0.00004632737,0.000094347764,0.00077914377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99714303,0.00018308869,0.00092596933,0.0006894089,0.00056784507,0.0004906649],"domain_scores_gemma":[0.99555457,0.0029350347,0.00031492082,0.00064564304,0.00039022777,0.00015961965],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0019734944,0.0004805806,0.0011560614,0.00038108235,0.0001912811,0.00018528,0.00035922482,0.00034820478,0.00017994708],"category_scores_gemma":[0.0020536697,0.00036280844,0.00037009383,0.0013358945,0.00013398637,0.00030294672,0.00013976752,0.00042246343,0.000029009001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010956692,0.0006460619,0.00035186976,0.008829802,0.0018153999,0.000033203887,0.0047929357,0.000045939913,0.005198696,0.9459902,0.017583314,0.01460303],"study_design_scores_gemma":[0.0049472675,0.0012224908,0.0033763133,0.0051746955,0.0069659534,0.0003612993,0.0034491527,0.26122725,0.01981304,0.44035843,0.24899448,0.004109643],"about_ca_topic_score_codex":0.000022380838,"about_ca_topic_score_gemma":0.000025512634,"teacher_disagreement_score":0.50563174,"about_ca_system_score_codex":0.000010185603,"about_ca_system_score_gemma":0.00007744121,"threshold_uncertainty_score":0.9998824},"labels":[],"label_agreement":null},{"id":"W4400462128","doi":"10.28924/2291-8639-22-2024-3303","title":"Geometrical Analysis of Spacelike and Timelike Rectifying Curves and Their Applications","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Euclidean geometry; Plane curve; Constant (computer programming); Function (biology); Mathematical analysis; Plane (geometry); Euclidean space; Family of curves; Differential geometry; Closed timelike curve; Geometry; Pure mathematics; Spacetime; Physics; Computer science","score_opus":0.022031048268602357,"score_gpt":0.330001852262607,"score_spread":0.3079708039940046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400462128","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.101195864,0.03732089,0.85797143,0.0023963903,0.000047489564,0.00023561488,0.0001543041,0.00002698455,0.00065104885],"genre_scores_gemma":[0.9859242,0.0097445855,0.003858703,0.00007551421,0.00013968805,0.000031222706,0.000036104473,0.000010600878,0.00017939627],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984164,0.000046594305,0.0007511213,0.00026972382,0.00040839383,0.00010775352],"domain_scores_gemma":[0.9976424,0.00094684283,0.00044825661,0.0002021629,0.0006353798,0.00012497502],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008316643,0.00015299776,0.00065589265,0.003634395,0.00007900268,0.00016692725,0.00023125098,0.00007083878,0.00010507325],"category_scores_gemma":[0.00014276608,0.00011144396,0.0004717702,0.0065686405,0.0001048769,0.00017468349,0.00008824917,0.00020242695,0.0000010018754],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000062876665,0.0012014649,0.068758726,0.00071678543,0.19019265,0.000018235112,0.0017302345,0.00077993865,0.0033734385,0.18868369,0.0040718094,0.54041016],"study_design_scores_gemma":[0.0018044449,0.00040806914,0.20557237,0.0010002169,0.21564004,0.00044377707,0.0062703695,0.15675014,0.0015733079,0.15021482,0.25826395,0.0020584932],"about_ca_topic_score_codex":0.000036589878,"about_ca_topic_score_gemma":0.0000428591,"teacher_disagreement_score":0.8847283,"about_ca_system_score_codex":0.000029712704,"about_ca_system_score_gemma":0.000033440945,"threshold_uncertainty_score":0.45445526},"labels":[],"label_agreement":null},{"id":"W4400519156","doi":"10.48550/arxiv.2407.06934","title":"Quantitative stability of the total $Q$-curvature near minimizing metrics","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Curvature; Stability (learning theory); Mathematics; Geometry; Computer science","score_opus":0.14549859047383337,"score_gpt":0.23698920966037515,"score_spread":0.09149061918654178,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400519156","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98731476,0.000792947,0.0067203543,0.00011818441,0.00080366305,0.00041756983,0.00016018869,0.00008475372,0.0035876043],"genre_scores_gemma":[0.9957464,0.000051478706,0.0025128508,0.00001534582,0.000051686417,9.1712536e-7,0.000012019784,0.000037062728,0.0015722358],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977901,0.00029824654,0.00045031658,0.00086895615,0.00027581668,0.00031654656],"domain_scores_gemma":[0.99655783,0.0009409696,0.00057931466,0.0013569199,0.00046121443,0.00010375254],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00080959196,0.00040246753,0.0007735231,0.00039370102,0.00015611447,0.000099118486,0.0009107512,0.0005415429,0.00017627141],"category_scores_gemma":[0.0014650148,0.0003102764,0.0010132228,0.0042620716,0.00028461975,0.000087075,0.0021584085,0.001598883,0.000032426804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020053018,0.00080766185,0.009262953,0.00335732,0.0034883106,0.00013283685,0.0037849974,0.038,0.00022296805,0.9339973,0.0064528803,0.00029225348],"study_design_scores_gemma":[0.0006691054,0.0001446965,0.0037094736,0.00069988595,0.005255776,0.000006005164,0.0049613137,0.2701767,0.00085386867,0.7116592,0.0006554987,0.0012084909],"about_ca_topic_score_codex":0.00013830914,"about_ca_topic_score_gemma":0.00007533577,"teacher_disagreement_score":0.2321767,"about_ca_system_score_codex":0.00022609088,"about_ca_system_score_gemma":0.00031394194,"threshold_uncertainty_score":0.9999349},"labels":[],"label_agreement":null},{"id":"W4400676498","doi":"10.4310/cag.2023.v31.n5.a6","title":"Scalar curvature and harmonic one-forms on three-manifolds with boundary","year":2023,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Scalar curvature; Curvature; Boundary (topology); Mathematical analysis; Scalar (mathematics); Geometry; Pure mathematics","score_opus":0.05440630470610698,"score_gpt":0.3200071358847341,"score_spread":0.26560083117862715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400676498","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98860705,0.004318872,0.0018572725,0.0022279932,0.000014043657,0.00019976356,0.000023333509,0.00010292946,0.002648755],"genre_scores_gemma":[0.9920407,0.0034907947,0.0036524623,0.00014177022,0.000015788673,0.000040262294,0.0001349001,0.000021997324,0.00046135718],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9983985,0.00010032176,0.00042592597,0.00039885184,0.0003726811,0.0003037476],"domain_scores_gemma":[0.99693865,0.0006904878,0.00017846723,0.0019721272,0.00010775198,0.00011252108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011376983,0.0002281365,0.00061548094,0.002707996,0.0004093101,0.00020306472,0.00058215234,0.00016951043,0.000073213945],"category_scores_gemma":[0.00020459898,0.00017211442,0.00016212241,0.013714104,0.00022535572,0.00017000189,0.00040920888,0.00053693284,0.000022697532],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006344893,0.0010319271,0.805975,0.00018051345,0.0060780193,0.0000165603,0.0009983686,0.00017391182,0.000055465403,0.10856284,0.001845523,0.075018406],"study_design_scores_gemma":[0.0007365797,0.00014173378,0.93326443,0.00011864002,0.0026208386,0.000004909877,0.0010797299,0.012757237,0.000023719542,0.04140906,0.0073229335,0.0005202021],"about_ca_topic_score_codex":0.00008640913,"about_ca_topic_score_gemma":0.0029633606,"teacher_disagreement_score":0.1272894,"about_ca_system_score_codex":0.000041841333,"about_ca_system_score_gemma":0.000028514363,"threshold_uncertainty_score":0.7018623},"labels":[],"label_agreement":null},{"id":"W4401209775","doi":"10.1016/j.difgeo.2024.102170","title":"Diffeological submanifolds and their friends","year":2024,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; United States-Israel Binational Science Foundation; United States - Israel Binational Science Foundation","keywords":"Mathematics; Pure mathematics","score_opus":0.026597516698583692,"score_gpt":0.28036914788719103,"score_spread":0.25377163118860735,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401209775","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.920454,0.0064576115,0.070321664,0.0003902361,0.00008752052,0.00028702867,0.000060846574,0.00018457172,0.001756519],"genre_scores_gemma":[0.9974628,0.00057788566,0.0001847028,0.000037073885,0.00021780864,0.00012524505,0.00003970391,0.000016450747,0.0013383243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989743,0.000029205787,0.00024010455,0.00040621305,0.00013129994,0.00021884478],"domain_scores_gemma":[0.99916506,0.0004072916,0.00003988114,0.00021057996,0.00004350119,0.00013368628],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014135202,0.0001964588,0.0002786143,0.00028963698,0.00019756242,0.00019792908,0.00012547005,0.00014771642,0.0005297194],"category_scores_gemma":[0.000052611038,0.00012863697,0.00009780665,0.00096159586,0.00006109629,0.0000977845,0.00012311901,0.00021533354,0.000028279037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000058022183,0.00020125014,0.00048479185,0.0002214084,0.0002602599,0.0000022711336,0.0002837902,1.9513055e-7,0.0031094393,0.95384306,0.0009858154,0.04060189],"study_design_scores_gemma":[0.0011473261,0.00037131037,0.057407334,0.00016070204,0.0016040737,0.00016606858,0.0018212404,0.022433756,0.0037622638,0.6713927,0.23783393,0.0018993058],"about_ca_topic_score_codex":0.0000025571212,"about_ca_topic_score_gemma":0.0000027564786,"teacher_disagreement_score":0.2824504,"about_ca_system_score_codex":0.0000090347885,"about_ca_system_score_gemma":0.000008156043,"threshold_uncertainty_score":0.5800056},"labels":[],"label_agreement":null},{"id":"W4401449029","doi":"10.4310/cag.2023.v31.n6.a6","title":"On gluing Alexandrov spaces with lower Ricci curvature bounds","year":2023,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Ricci curvature; Curvature; Pure mathematics; Scalar curvature; Mathematical analysis; Geometry","score_opus":0.039804818623338636,"score_gpt":0.3323144349172287,"score_spread":0.29250961629389005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401449029","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9867153,0.0019060124,0.0023102562,0.0017794635,0.000036184483,0.00014987713,0.000014792493,0.00012627407,0.006961822],"genre_scores_gemma":[0.99270767,0.0012820708,0.003395162,0.000117786774,0.000020682035,0.000032965097,0.00010904891,0.000020783313,0.0023138311],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9983946,0.00014895252,0.0003982459,0.00036707096,0.00038187124,0.000309225],"domain_scores_gemma":[0.99639624,0.0011127618,0.0001949358,0.002071434,0.00013169709,0.000092913964],"candidate_categories":["bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.0010369704,0.00022314057,0.0005832594,0.003270571,0.00033037234,0.0002122327,0.00068365084,0.00014637852,0.00017958303],"category_scores_gemma":[0.00046805243,0.00016824165,0.0002176312,0.021659827,0.00014813677,0.00014348803,0.0002991616,0.00048760633,0.000036372643],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000099111385,0.0016200136,0.80076253,0.00014444014,0.00733954,0.0000433267,0.0021340793,0.002246616,0.00004791958,0.15378472,0.016328631,0.015449042],"study_design_scores_gemma":[0.0032395734,0.00062917685,0.7285015,0.00053091045,0.010307585,0.000018156034,0.008668829,0.09365244,0.000059068272,0.097328916,0.054511752,0.00255209],"about_ca_topic_score_codex":0.00008902101,"about_ca_topic_score_gemma":0.0012406323,"teacher_disagreement_score":0.091405824,"about_ca_system_score_codex":0.000044396103,"about_ca_system_score_gemma":0.00002154753,"threshold_uncertainty_score":0.99913526},"labels":[],"label_agreement":null},{"id":"W4401646353","doi":"10.1016/j.geomphys.2024.105294","title":"Classification of superpotentials for cohomogeneity one Ricci solitons","year":2024,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Engineering and Physical Sciences Research Council","keywords":"Mathematics; Pure mathematics; Mathematical analysis; Mathematical physics","score_opus":0.07355472108456004,"score_gpt":0.3339433534631053,"score_spread":0.26038863237854526,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401646353","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7436413,0.002192958,0.25327563,0.00023837641,0.00027698677,0.000105120715,0.0000436117,0.000008172813,0.00021785192],"genre_scores_gemma":[0.990996,0.00023306007,0.007999708,0.000013136529,0.00057506893,0.0000019652512,0.0000053372532,0.000011870866,0.00016387078],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998948,0.00003804614,0.00050749595,0.00010422907,0.00028447446,0.00011774677],"domain_scores_gemma":[0.9985315,0.00061001617,0.00031310308,0.00013209427,0.0003477241,0.00006556249],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008904565,0.00009794949,0.00041520045,0.00017942,0.000052541636,0.0000543163,0.000106311454,0.00007606598,0.0000324569],"category_scores_gemma":[0.00029122186,0.000074635755,0.00030428142,0.0008615123,0.0000389416,0.00019086216,0.00001895482,0.00015862666,0.0000013343051],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029824857,0.0027181879,0.0119452635,0.005083864,0.005760136,0.000015868654,0.0016872127,0.00020225998,0.10029413,0.6257495,0.025907561,0.22033773],"study_design_scores_gemma":[0.0014622342,0.0010600704,0.025182601,0.00066149863,0.0042915693,0.00007681226,0.0010164377,0.0105746705,0.03267792,0.90318245,0.019257298,0.00055643875],"about_ca_topic_score_codex":0.0000023605064,"about_ca_topic_score_gemma":0.0000011068157,"teacher_disagreement_score":0.27743292,"about_ca_system_score_codex":0.000017180299,"about_ca_system_score_gemma":0.000055852277,"threshold_uncertainty_score":0.30435577},"labels":[],"label_agreement":null},{"id":"W4402258653","doi":"10.31926/but.mif.2024.4.66.1.13","title":"Ricci solitons on α-Sasakian manifolds with quarter symmetric metric connection","year":2024,"lang":"en","type":"article","venue":"Bulletin of the \"Transilvania\" University of Braşov. Series III, Mathematics and Computer Science","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Quarter (Canadian coin); Metric connection; Metric (unit); Mathematics; Pure mathematics; Mathematical analysis; Physics; Geometry; Geology; Topology (electrical circuits); Fundamental theorem of Riemannian geometry; Combinatorics; Ricci curvature; History; Engineering","score_opus":0.009032671732587452,"score_gpt":0.1928533862443581,"score_spread":0.18382071451177065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402258653","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5514948,0.00044109527,0.4312575,0.0042151427,0.0006448283,0.00079591415,0.000032529886,0.00016855088,0.010949672],"genre_scores_gemma":[0.95163,0.000061654806,0.047261223,0.000051160667,0.00003604866,5.237075e-7,7.595897e-7,0.000014826024,0.0009437803],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.998174,0.00004492431,0.00031900563,0.00042546287,0.00075472036,0.00028187726],"domain_scores_gemma":[0.9984124,0.00044900132,0.0002414577,0.00055435364,0.00024321646,0.00009958981],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000752922,0.00023417154,0.00047673204,0.00075500715,0.0003791073,0.00012963006,0.0007615412,0.00008392577,0.00012156931],"category_scores_gemma":[0.000055435732,0.00016395106,0.00019552288,0.003250583,0.0006435227,0.00015603084,0.00018231051,0.00019843786,0.000008015673],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001956158,0.0012042371,0.0001790229,0.0025639678,0.0007854724,0.00006638716,0.013487718,0.000867831,0.0006952281,0.9524907,0.014830396,0.012633425],"study_design_scores_gemma":[0.012283022,0.015532817,0.020537848,0.012267171,0.008625384,0.002194166,0.06659792,0.42477602,0.021100689,0.249147,0.15941072,0.007527252],"about_ca_topic_score_codex":0.00008927947,"about_ca_topic_score_gemma":0.000033552777,"teacher_disagreement_score":0.7033437,"about_ca_system_score_codex":0.0000482108,"about_ca_system_score_gemma":0.00009000466,"threshold_uncertainty_score":0.668573},"labels":[],"label_agreement":null},{"id":"W4402449860","doi":"10.1016/j.difgeo.2024.102188","title":"On a result of K. Okumura","year":2024,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics","score_opus":0.026693319456133124,"score_gpt":0.3051491931129613,"score_spread":0.27845587365682817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402449860","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93390894,0.002221428,0.055199508,0.0003587583,0.00012521709,0.00044756097,0.00013596038,0.00013136593,0.0074712452],"genre_scores_gemma":[0.99743927,0.00014326588,0.00022439144,0.00002047825,0.00010572338,0.00007182824,0.000031634318,0.00001302588,0.0019503777],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912095,0.000018576902,0.00027316564,0.00025343668,0.00020442106,0.00012942952],"domain_scores_gemma":[0.9990935,0.0004777407,0.00005949052,0.00023807223,0.00006690941,0.0000643002],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012418997,0.00011743982,0.00021688029,0.00039818554,0.00007578938,0.00005923966,0.00011784826,0.00008243668,0.00042838557],"category_scores_gemma":[0.00013862168,0.000088874265,0.000106421416,0.0013587687,0.00002733541,0.000053753938,0.000040955965,0.00015122537,0.000050425755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000835145,0.00018028873,0.000014946951,0.00021441054,0.00012267343,5.846461e-7,0.000081433835,0.0000013558229,0.0025266064,0.9787987,0.0025988352,0.015451819],"study_design_scores_gemma":[0.0011884926,0.00046815036,0.0055220234,0.00046405778,0.0014405545,0.000019573068,0.0005013927,0.011407797,0.015801223,0.84148,0.12061136,0.0010953643],"about_ca_topic_score_codex":0.0000026778216,"about_ca_topic_score_gemma":0.0000011411054,"teacher_disagreement_score":0.13731869,"about_ca_system_score_codex":0.000008603754,"about_ca_system_score_gemma":0.0000118623,"threshold_uncertainty_score":0.46905217},"labels":[],"label_agreement":null},{"id":"W4403093833","doi":"10.28924/2291-8639-22-2024-180","title":"Almost ∗-Ricci Soliton on α-paraSasakian Manifold","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Qassim University","keywords":"Mathematics; Manifold (fluid mechanics); Ricci flow; Ricci curvature; Pure mathematics; Soliton; Mathematical physics; Geometry; Physics; Nonlinear system","score_opus":0.02103340057464573,"score_gpt":0.349594940222861,"score_spread":0.3285615396482152,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403093833","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13222182,0.0037056997,0.8265485,0.009647628,0.0005480005,0.0002687344,0.00009645687,0.00008254621,0.026880592],"genre_scores_gemma":[0.995785,0.00041285192,0.0019303096,0.00012539305,0.00068296463,0.000011103737,0.00001546851,0.000010640715,0.0010262852],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9986103,0.00002675319,0.0005301917,0.00018237648,0.0005475479,0.00010278454],"domain_scores_gemma":[0.9988436,0.00029167123,0.00024204781,0.00016649398,0.00036211056,0.00009408319],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041047635,0.000117795586,0.000286603,0.0011995211,0.000059512888,0.00025541088,0.0003108445,0.00005500729,0.00028523483],"category_scores_gemma":[0.000060675527,0.00008661418,0.00044220695,0.0013495842,0.000026635447,0.00013950576,0.000025951527,0.00020209319,0.000030935305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027410671,0.0005655649,0.002487151,0.000022337048,0.010414056,0.00006145067,0.00030079184,0.00041911326,0.00031484623,0.88448066,0.013163952,0.08774268],"study_design_scores_gemma":[0.00089832477,0.00031164617,0.023623645,0.00040839787,0.013986691,0.00036345204,0.0013697771,0.0213465,0.001215861,0.43571955,0.4999244,0.0008317484],"about_ca_topic_score_codex":0.000009940595,"about_ca_topic_score_gemma":0.000013676146,"teacher_disagreement_score":0.8635632,"about_ca_system_score_codex":0.000062395724,"about_ca_system_score_gemma":0.00003595533,"threshold_uncertainty_score":0.35320237},"labels":[],"label_agreement":null},{"id":"W4403128855","doi":"10.1515/crelle-2024-0071","title":"A geometric approach to apriori estimates for optimal transport maps","year":2024,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Simons Foundation; National Science Foundation","keywords":"Apriori algorithm; A priori and a posteriori; Computer science; Data mining; Geography; Mathematics; Association rule learning","score_opus":0.04150167073401071,"score_gpt":0.33136825920479523,"score_spread":0.2898665884707845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403128855","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03949281,0.050111823,0.89932,0.0019293143,0.0011369257,0.00096752663,0.00009312947,0.00024834898,0.0067001097],"genre_scores_gemma":[0.25853026,0.00746086,0.71062315,0.0003436057,0.0050039403,0.00015697342,0.000069236885,0.00058319175,0.017228773],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99455714,0.00010496886,0.0020436132,0.00066564366,0.001449028,0.0011796132],"domain_scores_gemma":[0.9956683,0.0013707189,0.0007140806,0.0005410323,0.0007163188,0.0009895514],"candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0040361895,0.0008219582,0.0015924233,0.0031638732,0.00087359425,0.0015509779,0.0009607873,0.00033221842,0.00027474677],"category_scores_gemma":[0.0015136903,0.00056871655,0.0017317202,0.0032150375,0.00007168121,0.00071786944,0.00010316449,0.0015439048,0.00009102932],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013860789,0.007055925,0.00097464235,0.013210822,0.025766965,0.0038105906,0.019603064,0.014941817,0.004123142,0.12463463,0.66627544,0.11821685],"study_design_scores_gemma":[0.0044545014,0.0019889383,0.00016896626,0.0038705526,0.009059024,0.017979555,0.004330378,0.018963432,0.002532698,0.34507948,0.58847046,0.00310202],"about_ca_topic_score_codex":0.000005582529,"about_ca_topic_score_gemma":0.0000050854264,"teacher_disagreement_score":0.22044484,"about_ca_system_score_codex":0.0003365689,"about_ca_system_score_gemma":0.00027375124,"threshold_uncertainty_score":0.9996764},"labels":[],"label_agreement":null},{"id":"W4403322325","doi":"10.48550/arxiv.2410.03975","title":"Harmonic functions with highly intersecting zero sets","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Courtois Foundation","keywords":"Transcendental number; Counterexample; Ball (mathematics); Zero (linguistics); Mathematics; RADIUS; Harmonic function; Context (archaeology); Harmonic; Harmonic map; Mathematical analysis; Combinatorics; Pure mathematics; Physics; Computer science; Acoustics; Philosophy; Geography","score_opus":0.09391670318461243,"score_gpt":0.2113520960346753,"score_spread":0.11743539285006288,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403322325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89272386,0.00019153615,0.09260879,0.0001189488,0.0007361985,0.0002793225,0.000040933235,0.00039895062,0.012901448],"genre_scores_gemma":[0.98068786,0.00004009348,0.0006274886,0.00003309265,0.00010199469,0.0000019601355,0.000036757156,0.00005885292,0.018411884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817926,0.00008286265,0.00025785086,0.0009830453,0.00013774927,0.00035921353],"domain_scores_gemma":[0.99828583,0.00022010575,0.00026521363,0.00087618385,0.0002009505,0.00015170382],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00028670067,0.0004128141,0.00052201893,0.0007024649,0.00016397724,0.00015550923,0.0004823752,0.00033977602,0.0002565783],"category_scores_gemma":[0.00009463028,0.00036979243,0.00042801135,0.0016745992,0.00007684995,0.00010190898,0.000998057,0.0013952057,0.00035145154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005945364,0.001619057,0.0118719665,0.004939684,0.016471507,0.0056625046,0.0042679687,0.14950012,0.0001727344,0.6809222,0.11949979,0.0044779237],"study_design_scores_gemma":[0.0014761426,0.00034768868,0.00066866784,0.001713707,0.009250579,0.000054550612,0.0050993343,0.12030412,0.00014227172,0.85130334,0.0071851113,0.0024544722],"about_ca_topic_score_codex":0.0001398599,"about_ca_topic_score_gemma":0.00025278062,"teacher_disagreement_score":0.17038114,"about_ca_system_score_codex":0.00028719107,"about_ca_system_score_gemma":0.00016040746,"threshold_uncertainty_score":0.9998754},"labels":[],"label_agreement":null},{"id":"W4403573112","doi":"10.48550/arxiv.2410.10975","title":"Linear Bounds for the Lengths of Geodesics on Manifolds With Curvature Bounded Below","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; Division of Mathematical Sciences; National Security Agency; National Science Foundation","keywords":"Geodesic; Bounded function; Curvature; Mathematics; Mathematical analysis; Geometry; Combinatorics","score_opus":0.0996839942876496,"score_gpt":0.2297026733204756,"score_spread":0.130018679032826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403573112","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8159471,0.0014298767,0.16429578,0.00090771593,0.0013968145,0.0025808746,0.0004952279,0.00037640493,0.01257019],"genre_scores_gemma":[0.9867722,0.00020950199,0.0016730005,0.0000771193,0.00022709095,0.000005697163,0.000049139755,0.00007445172,0.010911846],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981784,0.00006947962,0.00032368713,0.0008257826,0.00023703619,0.00036558422],"domain_scores_gemma":[0.9968181,0.00096224854,0.0004284979,0.001305311,0.00039088345,0.00009490789],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005593551,0.00047367593,0.0006891877,0.00037634923,0.00021189413,0.00010622903,0.00089712173,0.0005461733,0.00006671967],"category_scores_gemma":[0.00017980661,0.00032665816,0.00063449226,0.0012674364,0.00017226906,0.00005978094,0.000528848,0.0011687558,0.000022612236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038831338,0.00034923045,0.0003470553,0.001374407,0.0029834986,0.00009317958,0.00034332142,0.03156574,0.000007453936,0.95398605,0.008074823,0.00048690752],"study_design_scores_gemma":[0.0012027093,0.0004793509,0.00021252561,0.00072342413,0.0063418164,0.0000063500584,0.00078167574,0.15232594,0.00018083469,0.81851757,0.018293811,0.0009340158],"about_ca_topic_score_codex":0.00007481942,"about_ca_topic_score_gemma":0.00023201437,"teacher_disagreement_score":0.17082503,"about_ca_system_score_codex":0.00015707985,"about_ca_system_score_gemma":0.000260029,"threshold_uncertainty_score":0.9999185},"labels":[],"label_agreement":null},{"id":"W4403616553","doi":"10.13108/2024-16-2-26","title":"Geometry of sub - Riemannian manifolds equipped with a semimetric quarter - symmetric connection","year":2024,"lang":"en","type":"article","venue":"Ufimskii Matematicheskii Zhurnal","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Fundamental theorem of Riemannian geometry; Quarter (Canadian coin); Geometry; Riemannian geometry; Curvature of Riemannian manifolds; Mathematics; Levi-Civita connection; Pure mathematics; Physics; Theoretical physics; Geology; Geography; Scalar curvature; Sectional curvature; Archaeology","score_opus":0.02005888060837516,"score_gpt":0.2694989928908238,"score_spread":0.24944011228244864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403616553","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9045748,0.003675697,0.078564726,0.00034266556,0.00063239,0.0008439901,0.00004236854,0.00045670808,0.01086664],"genre_scores_gemma":[0.9917189,0.00006978702,0.006215145,0.00005430372,0.00025661147,0.00005231363,0.000023191833,0.00010837487,0.0015013709],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954835,0.00020845003,0.001501077,0.0006522507,0.0014465575,0.00070815615],"domain_scores_gemma":[0.99647754,0.0014631578,0.0006175876,0.0007823287,0.00039861986,0.0002607912],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0021883233,0.000568156,0.0012406217,0.0042807884,0.00016655307,0.00038843584,0.00046476396,0.00031278253,0.0011356843],"category_scores_gemma":[0.0008266051,0.00040405866,0.00049812463,0.011709647,0.00010781522,0.0005695917,0.00009936343,0.00058932236,0.00029651492],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00080854056,0.0050352095,0.020613303,0.058262132,0.016065858,0.001807182,0.007132949,0.00041086087,0.017656831,0.73411113,0.11223604,0.02585998],"study_design_scores_gemma":[0.019554876,0.014393854,0.06479661,0.0315308,0.034650482,0.011295249,0.029547913,0.15126123,0.11782198,0.48623484,0.023002442,0.015909715],"about_ca_topic_score_codex":0.000037599097,"about_ca_topic_score_gemma":0.000020795102,"teacher_disagreement_score":0.24787626,"about_ca_system_score_codex":0.00018053036,"about_ca_system_score_gemma":0.00013359393,"threshold_uncertainty_score":0.99984115},"labels":[],"label_agreement":null},{"id":"W4403936687","doi":"10.48550/arxiv.2410.04158","title":"Weinstein exactness of nearby Lagrangians and related questions","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Courtois Foundation; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Agence Nationale de la Recherche; National Science Foundation","keywords":"Conjecture; Lagrangian; Flux (metallurgy); Mathematics; Mathematical physics; Physics; Pure mathematics; Chemistry","score_opus":0.060198831258660594,"score_gpt":0.20743783740415414,"score_spread":0.14723900614549354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403936687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97235376,0.0009301088,0.008309809,0.00012127511,0.00034399878,0.0002650081,0.00006291823,0.00017033576,0.0174428],"genre_scores_gemma":[0.98843044,0.00028578297,0.0003658384,0.000006841011,0.000031371677,5.974178e-7,0.000019619469,0.00002954623,0.010829946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874085,0.00009919286,0.00029307883,0.00057928555,0.00009364321,0.00019396319],"domain_scores_gemma":[0.99868906,0.00019270014,0.00024213069,0.000611352,0.00015718956,0.00010758105],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030635577,0.0002575172,0.0005191916,0.0005564466,0.000067171764,0.000044855005,0.00029969518,0.00043533774,0.00016874987],"category_scores_gemma":[0.00013246264,0.0002577529,0.00030329343,0.0013202118,0.00013317683,0.00006136248,0.000655694,0.0007176503,0.000041766507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032951993,0.00025816084,0.0009754306,0.0013583086,0.0012741305,0.00038118882,0.0007241736,0.012859705,0.00005882623,0.97993875,0.001381512,0.0007568511],"study_design_scores_gemma":[0.00048805017,0.00006834369,0.0006480569,0.00072793104,0.0027449096,0.000013808893,0.0007349146,0.09015493,0.000052876396,0.9028149,0.00095425756,0.00059699756],"about_ca_topic_score_codex":0.00021580655,"about_ca_topic_score_gemma":0.00010048501,"teacher_disagreement_score":0.07729522,"about_ca_system_score_codex":0.00006575265,"about_ca_system_score_gemma":0.00009240079,"threshold_uncertainty_score":0.9999875},"labels":[],"label_agreement":null},{"id":"W4403944492","doi":"10.28924/2291-8639-22-2024-200","title":"η-Ricci Soliton and Its Applications on φ-Recurrent LP Sasakian Manifold","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Manifold (fluid mechanics); Pure mathematics; Ricci curvature; Geometry","score_opus":0.023082090009850297,"score_gpt":0.34290531538202523,"score_spread":0.31982322537217495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403944492","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1488489,0.022439472,0.8036542,0.01255251,0.0005177754,0.0009847553,0.00031418644,0.00013732894,0.010550846],"genre_scores_gemma":[0.99550587,0.0016911344,0.0013587306,0.0001049258,0.00063553214,0.00006406415,0.000027884676,0.000012943948,0.0005989021],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.998499,0.000030228315,0.00058887043,0.00025297696,0.00050979643,0.000119135395],"domain_scores_gemma":[0.99858975,0.00038051518,0.00028633422,0.00016455329,0.00044397605,0.00013485605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042283232,0.00014793515,0.00031686868,0.0011540632,0.00009877573,0.0002811076,0.00028368938,0.00006476686,0.00015815107],"category_scores_gemma":[0.000059812402,0.0001139229,0.00031282005,0.001264691,0.000024453422,0.00016000772,0.000054409444,0.00023503645,0.00002165232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021433367,0.00044778307,0.000818556,0.000062454805,0.0059809657,0.000014403225,0.00022971928,0.00010667452,0.00036155648,0.85484666,0.002935732,0.13417408],"study_design_scores_gemma":[0.0007455971,0.00024651474,0.008358122,0.00023152932,0.009349328,0.00021369872,0.00085552846,0.021459823,0.0006464584,0.16704577,0.7901489,0.00069873396],"about_ca_topic_score_codex":0.000006659708,"about_ca_topic_score_gemma":0.000026210733,"teacher_disagreement_score":0.846657,"about_ca_system_score_codex":0.000055722103,"about_ca_system_score_gemma":0.000034922796,"threshold_uncertainty_score":0.4645641},"labels":[],"label_agreement":null},{"id":"W4405063893","doi":"10.1090/btran/210","title":"Sharp Hausdorff content estimates for accessible boundaries of domains in metric measure spaces of controlled geometry","year":2024,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society Series B","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Cape Breton University","funders":"Suomalainen Tiedeakatemia; Academy of Finland; University of Cincinnati; National Science Foundation","keywords":"Hausdorff measure; Measure (data warehouse); Hausdorff distance; Metric (unit); Hausdorff space; Geometry; Metric space; Content (measure theory); Mathematics; Outer measure; Computer science; Mathematical analysis; Pure mathematics; Hausdorff dimension; Fractal; Data mining; Engineering","score_opus":0.03753969393437669,"score_gpt":0.30727047353900505,"score_spread":0.2697307796046284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405063893","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38291678,0.002605112,0.6103839,0.001862423,0.0001615287,0.0013717606,0.00021417568,0.000079591955,0.0004046824],"genre_scores_gemma":[0.9345933,0.00008969802,0.06466606,0.00001947115,0.000015332342,0.00011715564,0.0000022516701,0.000031558357,0.00046517845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99773437,0.0000730278,0.001070287,0.00024681582,0.00058576517,0.00028973765],"domain_scores_gemma":[0.99585927,0.0027268166,0.00060078705,0.00046313004,0.0002929225,0.000057056746],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010588516,0.00025410933,0.0016151314,0.00028343644,0.00014727958,0.00009912132,0.00045520754,0.00009300785,0.00018042812],"category_scores_gemma":[0.0011978451,0.00015751025,0.0014780518,0.003755166,0.0013852228,0.00024776917,0.000029694087,0.00023449633,0.0000010976862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0049908077,0.009687093,0.005564562,0.04645351,0.031994566,0.000005611973,0.035616133,0.0035857104,0.049826834,0.7825357,0.007588269,0.022151235],"study_design_scores_gemma":[0.00992318,0.0021736075,0.0043465067,0.0033364184,0.011574089,0.00004029663,0.07185208,0.050992142,0.07834171,0.7644581,0.0014459862,0.0015158744],"about_ca_topic_score_codex":0.00013072713,"about_ca_topic_score_gemma":0.00004504583,"teacher_disagreement_score":0.5516765,"about_ca_system_score_codex":0.000063706895,"about_ca_system_score_gemma":0.00015585886,"threshold_uncertainty_score":0.6423082},"labels":[],"label_agreement":null},{"id":"W4405206888","doi":"10.4153/s0008414x24000725","title":"Alexandrov’s estimate revisited","year":2024,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Omega; Combinatorics; Mathematics; Bounded function; Domain (mathematical analysis); Regular polygon; Physics; Geometry; Mathematical analysis; Quantum mechanics","score_opus":0.03713062531780103,"score_gpt":0.30303900191172667,"score_spread":0.26590837659392563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405206888","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6050006,0.04439734,0.27408972,0.006022733,0.003683913,0.0007914348,0.00014824582,0.00025161804,0.06561434],"genre_scores_gemma":[0.90243095,0.000078168814,0.093456306,0.00015705159,0.000494762,0.000002252766,0.000004041085,0.00007823739,0.0032982293],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99850214,0.000035762343,0.0007223848,0.00011616245,0.00031793845,0.00030560326],"domain_scores_gemma":[0.99830747,0.00040488134,0.00023463814,0.00027088277,0.00026213584,0.0005199661],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012156516,0.00017199278,0.00046909944,0.00084374205,0.00008276818,0.00030314777,0.0003189126,0.000103239014,0.0009994367],"category_scores_gemma":[0.0013683047,0.00012779034,0.0003070682,0.0009542564,0.00004833276,0.0002017245,0.000010772166,0.00034544218,0.00011660733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000036995143,0.00011636673,0.0006979819,0.00236286,0.001185548,0.002820086,0.0037926433,0.00007373746,0.00012749867,0.4279554,0.5507272,0.01013697],"study_design_scores_gemma":[0.0006185579,0.00027818113,0.0003426416,0.004245708,0.0020536298,0.0043685744,0.0018874266,0.0153593235,0.00031494352,0.67441094,0.29522455,0.0008955401],"about_ca_topic_score_codex":0.000086236694,"about_ca_topic_score_gemma":0.0011628519,"teacher_disagreement_score":0.2974303,"about_ca_system_score_codex":0.0001222814,"about_ca_system_score_gemma":0.00062890153,"threshold_uncertainty_score":0.9999138},"labels":[],"label_agreement":null},{"id":"W4405416069","doi":"10.1214/24-aap2099","title":"Martingale transports and Monge maps","year":2024,"lang":"en","type":"article","venue":"The Annals of Applied Probability","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Martingale (probability theory); Mathematics; Geology; Calculus (dental); Geography; Applied mathematics; Medicine","score_opus":0.11479975170441778,"score_gpt":0.3299426945676944,"score_spread":0.2151429428632766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405416069","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98176795,0.0013638204,0.00042634882,0.0023422956,0.00003822489,0.00040918522,0.000020405785,0.00008279711,0.013548985],"genre_scores_gemma":[0.99819803,0.000065195374,0.0013978317,0.00011255043,0.00004331067,0.000028989267,0.0000038031562,0.00001176381,0.0001385362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989361,0.000031420957,0.00036621685,0.00025318906,0.0002306615,0.00018242052],"domain_scores_gemma":[0.99905795,0.00032989337,0.00007611507,0.00042629967,0.00006039747,0.000049355902],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019450185,0.00012439376,0.00027456504,0.000058285717,0.000059748283,0.000037800957,0.0001496406,0.00006558511,0.000114330716],"category_scores_gemma":[0.0000818042,0.0000745083,0.00012922155,0.0005044402,0.00013632934,0.00005027291,0.000039468396,0.00016902866,0.00000830677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017899091,0.0004116192,0.0014679298,0.0030195368,0.0004606616,0.0000058542682,0.005419849,0.000041056366,0.0010719765,0.9013139,0.02340909,0.063199535],"study_design_scores_gemma":[0.000058954793,0.000024811274,0.0026185978,0.000032408654,0.0000958848,0.0000013746443,0.00012776908,0.00014972799,0.0025470513,0.98625475,0.007986802,0.00010184847],"about_ca_topic_score_codex":0.000015357506,"about_ca_topic_score_gemma":0.000021052128,"teacher_disagreement_score":0.08494087,"about_ca_system_score_codex":0.000004534271,"about_ca_system_score_gemma":0.000019861194,"threshold_uncertainty_score":0.30383602},"labels":[],"label_agreement":null},{"id":"W4405585743","doi":"10.29169/1927-5129.2024.20.18","title":"Relation between Total Geodesic Submanifolds and Tachibana Operator for Lorentzian Sasakian Space Forms","year":2024,"lang":"en","type":"article","venue":"Journal of Basic & Applied Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Geodesic; Totally geodesic; Relation (database); Pure mathematics; Mathematics; Mathematical analysis; Space (punctuation); Physics; Philosophy; Computer science","score_opus":0.03783812702257544,"score_gpt":0.3044815870047094,"score_spread":0.26664345998213396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405585743","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96519804,0.0008438075,0.0304475,0.0009238586,0.00024642196,0.00021093871,0.000006000294,0.00001922287,0.00210422],"genre_scores_gemma":[0.9898815,0.000020519989,0.009380676,0.00003078108,0.00041065496,0.000005076054,0.0000016400007,0.000011905744,0.00025720743],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848276,0.000019110903,0.00049041957,0.00022485734,0.00053725607,0.00024556674],"domain_scores_gemma":[0.9990456,0.0003908088,0.000253789,0.000099693796,0.00008148277,0.00012860137],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021730035,0.00014564132,0.00035242946,0.00044378755,0.00024751812,0.00036405717,0.00020918687,0.000083549014,0.000037906004],"category_scores_gemma":[0.0001304373,0.000092572925,0.00015972323,0.00096743455,0.000115421484,0.00042737316,0.00003234803,0.00020738714,0.0000049539617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000085780404,0.00019547956,0.018678328,0.0005778466,0.0007592308,0.000023526989,0.0044096247,0.00036355856,0.004986106,0.85716075,0.016893577,0.095866166],"study_design_scores_gemma":[0.0035896392,0.003106166,0.09760303,0.0009509769,0.0032247382,0.0003947658,0.013831128,0.01842508,0.0071142493,0.8179098,0.031883556,0.001966882],"about_ca_topic_score_codex":0.0000036852746,"about_ca_topic_score_gemma":0.000011747368,"teacher_disagreement_score":0.09389928,"about_ca_system_score_codex":0.000048366346,"about_ca_system_score_gemma":0.0001296257,"threshold_uncertainty_score":0.37750143},"labels":[],"label_agreement":null},{"id":"W4405692044","doi":"10.1007/s10711-024-00973-5","title":"Projective and Carrollian geometry at time/space-like infinity on projectively compact Ricci flat Einstein manifolds","year":2024,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Projective geometry; Differential geometry; Algebraic geometry; Hyperbolic geometry; Mathematics; Einstein; Infinity; Geometry; Pure mathematics; Ricci flow; Mathematical analysis; Ricci curvature; Mathematical physics; Curvature","score_opus":0.03370191562424983,"score_gpt":0.294338958168775,"score_spread":0.26063704254452513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405692044","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95658904,0.00435206,0.00085435493,0.0013068957,0.0008084458,0.0017695645,0.0005101317,0.00074018765,0.033069316],"genre_scores_gemma":[0.9807359,0.00026661635,0.00090260414,0.000210835,0.0005214085,0.000064212,0.00017126408,0.0001335846,0.016993579],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.995242,0.00026777078,0.000788544,0.001355251,0.0014298923,0.0009165421],"domain_scores_gemma":[0.99578524,0.002126267,0.00031183823,0.0010827245,0.00022854189,0.00046540116],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0022681488,0.0007152153,0.0011501027,0.0043017245,0.00041903756,0.00040001795,0.0005951484,0.00049721217,0.0009516785],"category_scores_gemma":[0.00259569,0.00056370004,0.0004328859,0.010757907,0.00020555167,0.0003975428,0.00041300946,0.0009603758,0.0012229412],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012357741,0.0019849946,0.024181357,0.002788156,0.008179726,0.00091047504,0.0055477503,0.000045951503,0.0034251467,0.030937217,0.87742275,0.043340713],"study_design_scores_gemma":[0.008825383,0.0048825815,0.08325595,0.0019580864,0.004936229,0.0006919956,0.003103158,0.010742945,0.00916968,0.024029752,0.84256136,0.00584287],"about_ca_topic_score_codex":0.00026697948,"about_ca_topic_score_gemma":0.00008427847,"teacher_disagreement_score":0.05907459,"about_ca_system_score_codex":0.00057107775,"about_ca_system_score_gemma":0.00022265979,"threshold_uncertainty_score":0.9999616},"labels":[],"label_agreement":null},{"id":"W4405715671","doi":"10.1088/1361-6382/ae0d3f","title":"Ti and Spi, Carrollian extended boundaries at timelike and spatial infinity","year":2025,"lang":"en","type":"preprint","venue":"Classical and Quantum Gravity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneous space; Mathematics; Infinity; Invariant (physics); Pure mathematics; Spacetime; Type (biology); Boundary (topology); Symmetry (geometry); Group (periodic table); Symmetry group; Automorphism; Mathematical analysis; Mathematical physics; Geometry; Physics; Quantum mechanics","score_opus":0.03290310806848914,"score_gpt":0.29838579321174064,"score_spread":0.2654826851432515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405715671","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98990107,0.002570745,0.0021117898,0.0020910152,0.00054552476,0.00042980787,0.00034503243,0.000094128925,0.0019109078],"genre_scores_gemma":[0.9927879,0.00044436246,0.0009454344,0.00013922523,0.00021464202,0.000028747803,0.00008208711,0.000019935567,0.0053376476],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977316,0.00017237625,0.000517437,0.00084190804,0.00036728583,0.0003693418],"domain_scores_gemma":[0.9983007,0.0004836075,0.00025833075,0.0005189012,0.00013142031,0.00030708752],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051574316,0.00049363205,0.0011471364,0.00019100786,0.00057829026,0.00046139228,0.00017436534,0.00065928017,0.00006658073],"category_scores_gemma":[0.00066610664,0.00038719433,0.00020241551,0.00023501136,0.00091010425,0.000056589754,0.0015241256,0.0009976863,0.00000500422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009690595,0.0016495273,0.055728003,0.0076932176,0.0021158778,0.00016631965,0.003507252,0.0000041175695,0.00033167627,0.7223958,0.057194494,0.14824466],"study_design_scores_gemma":[0.0009742757,0.00018316734,0.08437814,0.00027254262,0.0010912737,0.000018391944,0.00012783911,0.008177593,0.00008007171,0.8078841,0.09594513,0.0008674526],"about_ca_topic_score_codex":0.00060744456,"about_ca_topic_score_gemma":0.0021788257,"teacher_disagreement_score":0.14737721,"about_ca_system_score_codex":0.000057029618,"about_ca_system_score_gemma":0.00019256263,"threshold_uncertainty_score":0.999858},"labels":[],"label_agreement":null},{"id":"W4406325760","doi":"10.3390/axioms14010056","title":"On the Work of Cartan and Münzner on Isoparametric Hypersurfaces","year":2025,"lang":"en","type":"article","venue":"Axioms","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Hypersurface; Mathematics; Space (punctuation); Constant (computer programming); Preprint; Pure mathematics; Field (mathematics); SPHERES; Philosophy; Physics; Computer science","score_opus":0.02859986227831799,"score_gpt":0.28419169974424624,"score_spread":0.25559183746592823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406325760","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9828821,0.0006171848,0.00029410227,0.00093245023,0.0000869842,0.00010505824,0.0000017759002,0.000013818569,0.015066547],"genre_scores_gemma":[0.9963697,0.000030740823,0.00012847838,0.00029298474,0.000012118592,0.000005443875,5.884335e-7,0.000005857869,0.0031540578],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99933344,0.000045920573,0.00016666188,0.00014392857,0.00019754781,0.00011247572],"domain_scores_gemma":[0.997132,0.0024114295,0.000073227704,0.0003203556,0.0000413773,0.00002158375],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031762905,0.00009539907,0.00021074968,0.00025920404,0.000062899,0.000024787805,0.00013410463,0.00005833415,0.000088889065],"category_scores_gemma":[0.0013706083,0.00005283665,0.00007562106,0.0021465372,0.000049158065,0.000016886515,0.000031706444,0.00012443622,0.000019025934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037009035,0.00017962843,0.0020529863,0.000035437704,0.00021490139,0.0000014671481,0.00034637182,0.000047522,0.000066640125,0.97135514,0.016455488,0.009207436],"study_design_scores_gemma":[0.004589388,0.0022523003,0.17446135,0.0017100547,0.00279985,0.0000064259057,0.012220662,0.0041126306,0.019863019,0.7198199,0.056046624,0.0021178015],"about_ca_topic_score_codex":0.00001949838,"about_ca_topic_score_gemma":0.000005599437,"teacher_disagreement_score":0.2515352,"about_ca_system_score_codex":0.000011205394,"about_ca_system_score_gemma":0.0000100520065,"threshold_uncertainty_score":0.21546161},"labels":[],"label_agreement":null},{"id":"W4406529136","doi":"10.1214/25-ecp654","title":"Adapted optimal transport between Gaussian processes in discrete time","year":2025,"lang":"en","type":"article","venue":"Electronic Communications in Probability","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Mathematics; Discrete time and continuous time; Gaussian; Gaussian process; Mathematical optimization; Applied mathematics; Statistical physics; Econometrics; Statistics","score_opus":0.03238523652221701,"score_gpt":0.3252022387718543,"score_spread":0.29281700224963725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406529136","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95694494,0.0033709542,0.008291708,0.006856387,0.000017469922,0.0016584733,0.000023780965,0.0001822187,0.022654071],"genre_scores_gemma":[0.990193,0.0001558613,0.0084988065,0.000020903042,0.00000730985,0.00023170839,0.00008428534,0.000012054144,0.00079603196],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979079,0.0003042901,0.0007728375,0.00036315827,0.00018671894,0.00046511414],"domain_scores_gemma":[0.99681824,0.00084278564,0.00012552367,0.0020529549,0.0001221212,0.000038367703],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017053622,0.00019158649,0.00048765648,0.00040044886,0.00012028972,0.000023807075,0.0012333943,0.00014565712,0.000099812045],"category_scores_gemma":[0.00096673856,0.00017924007,0.00010297492,0.004113887,0.0001475155,0.00016519999,0.00017500728,0.00078979897,0.000008771031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014522784,0.0036898977,0.51281404,0.00094443164,0.0004761411,0.0000022650847,0.0029198674,0.00063295255,0.00007186294,0.45805448,0.0004364471,0.019812386],"study_design_scores_gemma":[0.0014964398,0.00013101537,0.18473548,0.00035429304,0.00028311505,0.0000014877232,0.00029298666,0.0044760513,0.00016377994,0.78895694,0.018483458,0.0006249748],"about_ca_topic_score_codex":0.00014495112,"about_ca_topic_score_gemma":0.00681388,"teacher_disagreement_score":0.33090246,"about_ca_system_score_codex":0.0004822304,"about_ca_system_score_gemma":0.0006779909,"threshold_uncertainty_score":0.7309198},"labels":[],"label_agreement":null},{"id":"W4406656408","doi":"10.1016/b978-0-444-41565-3.50016-8","title":"10.1016/b978-0-444-41565-3.50016-8","year":2000,"lang":"en","type":"book-chapter","venue":"Time to knit","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Energy (signal processing); Materials science; Physics; Quantum mechanics","score_opus":0.017625167003955576,"score_gpt":0.20372031197402088,"score_spread":0.1860951449700653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406656408","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[5.683005e-7,0.0006319319,0.000012082793,0.00012060897,0.000005520086,0.00039898744,0.000097484444,0.00021145021,0.9985214],"genre_scores_gemma":[9.76555e-7,0.000002173737,0.0006538303,0.000051333758,0.0005983628,0.000021365857,0.00013391441,0.00019019336,0.9983479],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9973145,0.000028536631,0.00070925616,0.0006803538,0.00077394495,0.00049338245],"domain_scores_gemma":[0.9977756,0.0002722422,0.0003082067,0.0011450106,0.00018807773,0.00031086814],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00035002586,0.0006924142,0.0011493876,0.00072381465,0.00011471513,0.000115696734,0.0006289958,0.00067226833,0.9989663],"category_scores_gemma":[0.00015555363,0.00062447996,0.00064066256,0.00027759626,0.000054129607,0.00008044485,0.00015971727,0.0006231431,0.99571973],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029711791,0.000045515175,3.5511298e-9,0.000036145877,0.00031055528,0.000024290131,0.000010161487,0.000004765568,7.7750894e-7,0.0011043601,0.67013365,0.3283001],"study_design_scores_gemma":[0.00019911844,0.00012781077,2.6786893e-7,0.00014687705,0.00060202606,0.000014281592,6.7372713e-7,0.000026822088,0.0000024516494,0.010236389,0.98793715,0.00070612883],"about_ca_topic_score_codex":0.0000085847505,"about_ca_topic_score_gemma":9.143181e-7,"teacher_disagreement_score":0.32759395,"about_ca_system_score_codex":0.00010892061,"about_ca_system_score_gemma":0.00007586612,"threshold_uncertainty_score":0.9996207},"labels":[],"label_agreement":null},{"id":"W4406684485","doi":"10.30755/nsjom.17635","title":"Quarter-symmetric metric connection on Sasaki-Kenmotsu manifold","year":2025,"lang":"en","type":"article","venue":"Novi Sad Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Quarter (Canadian coin); Metric (unit); Connection (principal bundle); Pure mathematics; Manifold (fluid mechanics); Topology (electrical circuits); Combinatorics; Geometry; Operations management; History; Economics; Engineering","score_opus":0.030707277290505056,"score_gpt":0.3079288198694533,"score_spread":0.27722154257894827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406684485","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52344686,0.0022821343,0.40118352,0.0017648886,0.0023501087,0.00066603755,0.000013558142,0.00013639667,0.068156496],"genre_scores_gemma":[0.95909196,0.00014244061,0.038261652,0.00029763876,0.00029440006,0.000005127142,0.0000017006569,0.000038515616,0.0018665587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966478,0.00013715272,0.001593048,0.00022976486,0.0010291634,0.00036309008],"domain_scores_gemma":[0.9946488,0.0025245908,0.001415854,0.0005566711,0.00071095745,0.00014313824],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0025145484,0.0003394804,0.0010231178,0.003650711,0.00014832338,0.00014818914,0.00053961773,0.00024107608,0.00027718823],"category_scores_gemma":[0.004629252,0.00025511812,0.00061742007,0.0055887047,0.000029647963,0.00020574882,0.00005746767,0.0006489465,0.00008228873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000110122804,0.005314461,0.001352576,0.0014401689,0.0023772633,0.00013288412,0.0011515551,0.00014999074,0.0008361267,0.85870653,0.1065024,0.021925947],"study_design_scores_gemma":[0.0068802396,0.0028073909,0.0040821424,0.0022400022,0.0045839217,0.0005584558,0.010653504,0.006669233,0.0068564164,0.92803323,0.025307598,0.0013278917],"about_ca_topic_score_codex":0.000005271482,"about_ca_topic_score_gemma":0.0000080421705,"teacher_disagreement_score":0.4356451,"about_ca_system_score_codex":0.00022180026,"about_ca_system_score_gemma":0.000117564785,"threshold_uncertainty_score":0.9999901},"labels":[],"label_agreement":null},{"id":"W4406975330","doi":"10.1088/1361-6382/ae22b5","title":"Asymptotic limit of null hypersurfaces","year":2025,"lang":"en","type":"preprint","venue":"Classical and Quantum Gravity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Government of Canada; Ministry of Colleges and Universities; Innovation, Science and Economic Development Canada","keywords":"Limit (mathematics); Null (SQL); Mathematics; Physics; Mathematical analysis; Computer science; Data mining","score_opus":0.05410345006397373,"score_gpt":0.31569680912603987,"score_spread":0.26159335906206616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406975330","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98863643,0.0019163289,0.0025084454,0.0012513726,0.00057581736,0.00030360388,0.00015926136,0.00007530004,0.0045734555],"genre_scores_gemma":[0.9944447,0.0002870253,0.0019360267,0.000051008738,0.00009713466,0.000013867635,0.000027782138,0.000013571264,0.0031288266],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807966,0.00013825072,0.0005775337,0.0005505761,0.00038394023,0.00027002883],"domain_scores_gemma":[0.9979492,0.0007911642,0.0003442568,0.00059477234,0.00017913706,0.00014148082],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004615564,0.0003451907,0.0011317873,0.00021325669,0.000081558,0.00005794112,0.00033531483,0.0005383626,0.000059065453],"category_scores_gemma":[0.0007906367,0.00026107964,0.0004218229,0.00043118795,0.00023070398,0.000034419983,0.00067935133,0.0008178695,0.000006964208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015496236,0.0021607904,0.012606479,0.006124944,0.0015308411,0.000024291776,0.00060362456,0.00006583459,0.00037727726,0.92640364,0.028961254,0.02098608],"study_design_scores_gemma":[0.0005293342,0.00016166751,0.012503009,0.0006321049,0.0014175539,0.0000033211477,0.00022386089,0.010675123,0.00031813365,0.96121264,0.01167105,0.00065218424],"about_ca_topic_score_codex":0.000051008417,"about_ca_topic_score_gemma":0.000035430523,"teacher_disagreement_score":0.034809034,"about_ca_system_score_codex":0.000029155477,"about_ca_system_score_gemma":0.00010923425,"threshold_uncertainty_score":0.99998415},"labels":[],"label_agreement":null},{"id":"W4407059667","doi":"10.26713/cma.v15i2.2597","title":"Some Properties of \\(\\epsilon\\)-Kenmotsu Manifolds With Quarter-Symmetric Non-Metric Connection","year":2024,"lang":"en","type":"article","venue":"Communications in Mathematics and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Quarter (Canadian coin); Connection (principal bundle); Metric connection; Metric (unit); Pure mathematics; Combinatorics; Topology (electrical circuits); Geometry; Scalar curvature; Fundamental theorem of Riemannian geometry; Geography; Business","score_opus":0.04634041709240885,"score_gpt":0.29745941815641774,"score_spread":0.25111900106400886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407059667","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44306242,0.08146534,0.4200533,0.0049087247,0.00016780017,0.0067373514,0.000109763714,0.0007330659,0.042762216],"genre_scores_gemma":[0.9384985,0.0017921972,0.05864629,0.000013593083,0.00003255684,0.00066723785,0.000015079178,0.000030879364,0.0003036808],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863714,0.000039649658,0.0006445348,0.00025841524,0.0002424788,0.00017779748],"domain_scores_gemma":[0.9974486,0.000703706,0.00019563931,0.0014356181,0.0001595504,0.000056869154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063392014,0.00018756211,0.0003885128,0.0012177316,0.00017520055,0.00012560426,0.00055061036,0.00010141386,0.000013302616],"category_scores_gemma":[0.00013381179,0.0001422524,0.00008362446,0.0042692996,0.00017378748,0.00020737194,0.00016003608,0.0002676653,0.000018160543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000027206686,0.000783624,0.00021788484,0.0009895127,0.00013173388,5.349738e-7,0.0011000453,0.000019320367,0.0005559725,0.99032164,0.00037626963,0.0055007455],"study_design_scores_gemma":[0.0009441645,0.00027089522,0.0015410448,0.0017219218,0.00093821954,0.000080405625,0.009728506,0.16521709,0.001180712,0.8029275,0.014496747,0.0009527947],"about_ca_topic_score_codex":0.00003471284,"about_ca_topic_score_gemma":0.0000530641,"teacher_disagreement_score":0.49543607,"about_ca_system_score_codex":0.000050438946,"about_ca_system_score_gemma":0.00005331408,"threshold_uncertainty_score":0.58008844},"labels":[],"label_agreement":null},{"id":"W4407167868","doi":"10.1007/s00526-024-02910-6","title":"Sharpening a gap theorem: nonnegative Ricci and small curvature concentration","year":2025,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Sharpening; Ricci curvature; Curvature; Pure mathematics; Ricci flow; Comparison theorem; Scalar curvature; Mathematical analysis; Geometry; Artificial intelligence","score_opus":0.04279362402342434,"score_gpt":0.30311714608045276,"score_spread":0.2603235220570284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407167868","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05016722,0.0003103125,0.94683325,0.00047214856,0.0001491723,0.00029540667,0.0000509615,0.000029122162,0.0016924078],"genre_scores_gemma":[0.9978115,0.0000389579,0.0015144597,0.000044146236,0.00007474156,0.000042033,0.00008203093,0.000008320149,0.00038380155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988299,0.00012999121,0.0004433558,0.00025922508,0.00015744357,0.00018010676],"domain_scores_gemma":[0.99845594,0.0008095721,0.00021544802,0.00019660992,0.0002455952,0.00007683717],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022823739,0.0001624379,0.0003210618,0.00017419351,0.00032055745,0.00011430986,0.000090606685,0.00013833366,0.00016655546],"category_scores_gemma":[0.0011088507,0.00013874183,0.00010016223,0.0006795062,0.00010057256,0.00013533825,0.00006956296,0.0001593052,0.0000016485451],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016491927,0.00012622385,0.0002001678,0.00004413255,0.00019957635,2.7678627e-7,0.0008956354,0.000030453888,0.0013289385,0.9946386,0.00014832611,0.0023711347],"study_design_scores_gemma":[0.0021712848,0.00013547337,0.009934616,0.00021027646,0.0020938283,0.000001956762,0.0006837589,0.86980283,0.0022548563,0.11157579,0.0006620089,0.0004733416],"about_ca_topic_score_codex":0.00007437849,"about_ca_topic_score_gemma":0.00009052944,"teacher_disagreement_score":0.9476443,"about_ca_system_score_codex":0.000018878023,"about_ca_system_score_gemma":0.00006789705,"threshold_uncertainty_score":0.5657728},"labels":[],"label_agreement":null},{"id":"W4407321861","doi":"10.9734/bpi/mono/978-93-49238-47-3/ch31","title":"Ricci Solitons on LP-Sasakian Manifolds with Respect to Quarter Symmetric Non-metric Connection","year":2025,"lang":"en","type":"book-chapter","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Quarter (Canadian coin); Metric (unit); Mathematics; Metric connection; Geology; Pure mathematics; Mathematical analysis; Fundamental theorem of Riemannian geometry; Geometry; Ricci curvature; Engineering; Geography; Archaeology","score_opus":0.020895507996726383,"score_gpt":0.26634450609184407,"score_spread":0.2454489980951177,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407321861","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0001922026,0.00016360408,0.018794155,0.00060258963,0.00045370293,0.0009987947,0.00004490943,0.00022205804,0.97852796],"genre_scores_gemma":[0.057407502,0.00006329629,0.004325339,0.0008202416,0.00052193133,0.00005910002,0.000056914083,0.00013215613,0.9366135],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9960515,0.000046089233,0.00089397887,0.0011705239,0.0012268373,0.00061106373],"domain_scores_gemma":[0.99599123,0.0012713263,0.00045896694,0.0014648635,0.0004957116,0.0003178812],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00060072675,0.00092403963,0.0014542878,0.009224871,0.000225329,0.00022424768,0.0005322518,0.00077590824,0.0025780047],"category_scores_gemma":[0.00050437206,0.00066965184,0.00062421313,0.004129183,0.000034009478,0.00009366306,0.00012667103,0.0008865424,0.0012541269],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011666202,0.00019146342,0.000035075627,0.00018821482,0.0010279496,0.000070567316,0.00007463262,0.000017105718,0.0000021011797,0.6671065,0.32488236,0.006287336],"study_design_scores_gemma":[0.0027164505,0.005500231,0.0010817692,0.0018727295,0.004926057,0.00008041338,0.00062682526,0.00058243604,0.00017241355,0.13356607,0.8446985,0.004176122],"about_ca_topic_score_codex":0.00012743687,"about_ca_topic_score_gemma":0.00048244387,"teacher_disagreement_score":0.5335405,"about_ca_system_score_codex":0.0004384026,"about_ca_system_score_gemma":0.00016299773,"threshold_uncertainty_score":0.9995755},"labels":[],"label_agreement":null},{"id":"W4407706715","doi":"10.1002/cpa.22247","title":"First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet","year":2025,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Sobolev space; Order (exchange); Sierpinski carpet; Energy (signal processing); Mathematical analysis; Fractal; Sierpinski triangle; Statistics","score_opus":0.033155472452855224,"score_gpt":0.2676930087513348,"score_spread":0.23453753629847957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407706715","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08335455,0.021516103,0.08911657,0.09027847,0.0002858147,0.0023159594,0.00011419878,0.0011861601,0.71183217],"genre_scores_gemma":[0.9177785,0.005417158,0.07232184,0.0016262867,0.00003720706,0.00034030227,0.000019608407,0.000048390753,0.002410699],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987525,0.000071392125,0.00039711944,0.00026048033,0.0002941137,0.00022439353],"domain_scores_gemma":[0.99499387,0.0024628327,0.0001920025,0.002165998,0.0001216535,0.00006361836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006111511,0.00029209894,0.0004382009,0.0002312454,0.00077059097,0.0002090724,0.00076030334,0.00016323297,0.000022085793],"category_scores_gemma":[0.00034416927,0.00019292966,0.000081288716,0.00081385736,0.00019476429,0.00003966114,0.00038041454,0.00032851665,0.0000068688787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004153564,0.00036196134,0.00001193038,0.00010223331,0.00021183505,2.2781131e-7,0.0008608858,0.000043048203,0.000035329384,0.9821372,0.013603058,0.00262816],"study_design_scores_gemma":[0.00055864797,0.00006086785,0.00007591719,0.00030843806,0.000660974,0.0000038760813,0.005235497,0.0072334907,0.0005220017,0.69475985,0.29010347,0.00047695954],"about_ca_topic_score_codex":0.000006846957,"about_ca_topic_score_gemma":0.00012258673,"teacher_disagreement_score":0.83442396,"about_ca_system_score_codex":0.000028553059,"about_ca_system_score_gemma":0.000041240033,"threshold_uncertainty_score":0.7867443},"labels":[],"label_agreement":null},{"id":"W4408160643","doi":"10.1017/fms.2025.10","title":"Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems","year":2025,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation; Israel Science Foundation","keywords":"Mathematics; Overdetermined system; Boundary value problem; Value (mathematics); Pure mathematics; Boundary (topology); Elliptic curve; Algebra over a field; Mathematical analysis; Statistics","score_opus":0.014970274269402636,"score_gpt":0.28491593694670986,"score_spread":0.26994566267730724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408160643","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61001194,0.002877676,0.36059588,0.00146008,0.00041494909,0.0019227806,0.00013294426,0.0002629653,0.022320783],"genre_scores_gemma":[0.8560531,0.000082197235,0.13804802,0.00015811909,0.00003715905,0.00007393703,0.000034703244,0.000048501108,0.005464239],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99794,0.000055272278,0.0008827611,0.00033117994,0.0003980346,0.00039274796],"domain_scores_gemma":[0.99782825,0.00082809327,0.00039755495,0.0006896052,0.00015953119,0.00009694777],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00052741397,0.00030173248,0.00076017965,0.00042104817,0.00022233425,0.00011996005,0.00034143764,0.00015990256,0.00015167143],"category_scores_gemma":[0.00036323018,0.00025843238,0.00023827687,0.0007980807,0.00015263578,0.00014752545,0.00020341176,0.0001948595,0.000010305227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031222604,0.0019902412,0.0013525449,0.0046513095,0.0009604179,0.0000054727775,0.0024879405,0.00020341115,0.0047071804,0.94595176,0.035510655,0.0021478627],"study_design_scores_gemma":[0.0011593278,0.0002370692,0.00073434674,0.0008324134,0.00083888404,0.000032043892,0.000824619,0.03216446,0.0019057163,0.9483803,0.012398748,0.0004920674],"about_ca_topic_score_codex":0.000022286215,"about_ca_topic_score_gemma":0.000060947583,"teacher_disagreement_score":0.2460412,"about_ca_system_score_codex":0.000045317454,"about_ca_system_score_gemma":0.00007595315,"threshold_uncertainty_score":0.99998677},"labels":[],"label_agreement":null},{"id":"W4408276270","doi":"10.3390/axioms14030200","title":"Analysis of Screen Generic Lightlike Submanifolds in an Indefinite Kaehler Statistical Manifold Endowed with a Quarter-Symmetric Non-Metric Connection","year":2025,"lang":"en","type":"article","venue":"Axioms","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Metric connection; Metric (unit); Mathematics; Quarter (Canadian coin); Pure mathematics; Manifold (fluid mechanics); Mathematical analysis; Geometry; Fundamental theorem of Riemannian geometry; Scalar curvature; Engineering; History","score_opus":0.020578590333888563,"score_gpt":0.28338171235979936,"score_spread":0.26280312202591083,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408276270","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77932495,0.00021092007,0.21518506,0.00004846398,0.00007901809,0.00031754823,0.000055671368,0.00004840101,0.0047299936],"genre_scores_gemma":[0.99654794,0.00002513726,0.0027087734,0.000086533866,0.000031160766,0.000042509484,0.00014036093,0.000025553985,0.00039203707],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.997308,0.00018168874,0.00086142553,0.0005917123,0.0006217938,0.00043533515],"domain_scores_gemma":[0.99764353,0.00087998435,0.00035322903,0.000707121,0.0002853821,0.00013076093],"candidate_categories":["metaepi_narrow","bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.00077613874,0.00031784666,0.0010822891,0.009415471,0.00007456279,0.000084374304,0.00033050502,0.0002189063,0.0002173143],"category_scores_gemma":[0.00035231202,0.00025597523,0.00023304661,0.037547152,0.000047747806,0.00019443968,0.00006118396,0.00026868985,0.000012666048],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005806217,0.004130267,0.44492826,0.00040108382,0.010288131,0.00019092122,0.0012811384,0.0014917573,0.00064310164,0.51547223,0.0018625848,0.018729892],"study_design_scores_gemma":[0.0021579368,0.0008827909,0.9104547,0.000064444284,0.006035412,0.000005206837,0.0012547527,0.07582035,0.00024336293,0.0023279118,0.0001693147,0.000583814],"about_ca_topic_score_codex":0.0014123071,"about_ca_topic_score_gemma":0.0030316012,"teacher_disagreement_score":0.5131443,"about_ca_system_score_codex":0.00012209707,"about_ca_system_score_gemma":0.00008949945,"threshold_uncertainty_score":0.9999893},"labels":[],"label_agreement":null},{"id":"W4408694986","doi":"10.1073/pnas.2414730122","title":"Isolated steady solutions of the 3D Euler equations","year":2025,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Agencia Estatal de Investigación; Banco Bilbao Vizcaya Argentaria; Austrian Science Fund; European Commission","keywords":"Euler equations; Dimension (graph theory); Euler's formula; Euclidean space; Topology (electrical circuits); Euler method; Space (punctuation); Flow (mathematics); Euler characteristic; Mathematical analysis; Mathematics; Computer science; Geometry; Pure mathematics; Combinatorics","score_opus":0.08671535414469034,"score_gpt":0.3411312278278001,"score_spread":0.25441587368310975,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408694986","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8604265,0.00086440856,0.0019938773,0.036026698,0.00021815587,0.0009856039,0.000084046806,0.000048146663,0.09935256],"genre_scores_gemma":[0.99685264,0.000006911004,0.0016979959,0.00011844302,0.000019506113,0.00000640735,6.617808e-8,0.0000018733068,0.0012961652],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983567,0.0000105525405,0.00041911806,0.0001392134,0.000954888,0.00011952036],"domain_scores_gemma":[0.9982976,0.00052695343,0.00054778403,0.000016338698,0.0005976826,0.000013642523],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015968728,0.00007006625,0.000168121,0.00027267195,0.00030765828,0.00001692399,0.0008857354,0.00007808815,0.00003359349],"category_scores_gemma":[0.003914057,0.000037307753,0.00014580201,0.0038172007,0.00053527876,0.00020442667,0.00020042504,0.00016120484,7.539806e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000031562856,0.00010645848,0.0026117908,0.000065388,0.00006965028,3.233141e-10,0.00019135402,0.00013582788,0.021893851,0.9697181,0.0049175755,0.00028682826],"study_design_scores_gemma":[0.000251445,0.000029339893,0.049099244,0.0002810165,0.00022405246,0.0000011196239,0.0006748258,0.026852377,0.023830697,0.8979732,0.0006673827,0.00011531977],"about_ca_topic_score_codex":0.0000065779723,"about_ca_topic_score_gemma":3.7585508e-7,"teacher_disagreement_score":0.13642614,"about_ca_system_score_codex":0.000025563639,"about_ca_system_score_gemma":0.00006278448,"threshold_uncertainty_score":0.46857747},"labels":[],"label_agreement":null},{"id":"W4409217833","doi":"10.1007/s43069-025-00437-w","title":"On the Existence of Monge Solutions to Multi-marginal Optimal Transport with Quadratic Cost and Uniform Discrete Marginals","year":2025,"lang":"en","type":"article","venue":"Operations Research Forum","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quadratic equation; Mathematics; Applied mathematics; Mathematical optimization; Mathematical economics; Geometry","score_opus":0.1147092383121214,"score_gpt":0.3981596332955925,"score_spread":0.28345039498347113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409217833","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5752285,0.00019792232,0.38623032,0.028227113,0.00004264112,0.0022664377,0.00011509031,0.000024412364,0.0076675387],"genre_scores_gemma":[0.9726359,0.00004425651,0.01879613,0.00008871906,0.000009358315,0.00023147854,0.000011906827,0.000010311844,0.008171922],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99835443,0.00014791435,0.00029024563,0.00022066187,0.000556805,0.0004299284],"domain_scores_gemma":[0.9982888,0.0005634398,0.000025615662,0.00043672015,0.0005721112,0.000113308946],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016344158,0.00012386327,0.00022550058,0.00047578855,0.0009864647,0.00014114327,0.00029800922,0.00004624947,0.00010552958],"category_scores_gemma":[0.00083593035,0.00007070461,0.00006144141,0.0018524086,0.00023368762,0.00016474447,0.00007334496,0.000377205,0.0000105683375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012932827,0.00039457093,0.00090275664,0.00007549468,0.00020944794,0.000009056887,0.0012130276,0.008130265,0.00028117132,0.9816498,0.005866175,0.0011388648],"study_design_scores_gemma":[0.008581411,0.008333674,0.057884466,0.003820985,0.0012707445,0.00010758609,0.13430019,0.6726265,0.0049197604,0.051694356,0.05393417,0.0025261655],"about_ca_topic_score_codex":0.00014388142,"about_ca_topic_score_gemma":0.0028352435,"teacher_disagreement_score":0.9299555,"about_ca_system_score_codex":0.00006235121,"about_ca_system_score_gemma":0.00023004028,"threshold_uncertainty_score":0.75871885},"labels":[],"label_agreement":null},{"id":"W4409330912","doi":"10.1112/blms.70073","title":"Removing scalar curvature assumption for Ricci flow smoothing","year":2025,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Scalar curvature; Ricci flow; Smoothing; Curvature; Ricci curvature; Mean curvature flow; Scalar (mathematics); Geometry; Statistics","score_opus":0.01925017948142814,"score_gpt":0.28394988237618196,"score_spread":0.2646997028947538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409330912","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.050220847,0.001728663,0.89129007,0.035846516,0.0007114829,0.002415756,0.000045349483,0.00027863213,0.017462702],"genre_scores_gemma":[0.14625978,0.000069575595,0.8116409,0.0022626927,0.00032693904,0.00016309143,0.0000143835005,0.00009152054,0.039171103],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979892,0.000115533745,0.0007007369,0.00033135345,0.00050297094,0.00036025405],"domain_scores_gemma":[0.9966385,0.002002551,0.00035631537,0.00070557813,0.00023924308,0.000057822534],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019540528,0.00025434577,0.00062912825,0.00005293515,0.00030610277,0.00007272692,0.00059834187,0.0003326658,0.000418056],"category_scores_gemma":[0.0037219285,0.00016424854,0.0012884709,0.00066540064,0.000120688695,0.000030876872,0.00024615275,0.000415166,0.000022876602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040727962,0.00060049345,0.000326088,0.003306757,0.0008828674,4.201053e-7,0.0007762336,0.00013120097,0.0007861319,0.25354978,0.73508614,0.0045131454],"study_design_scores_gemma":[0.0013723513,0.000041088253,0.000602003,0.001039379,0.0013719092,0.0000046715813,0.0004883811,0.028352683,0.0019656545,0.7878607,0.17648645,0.00041471457],"about_ca_topic_score_codex":0.0000073320484,"about_ca_topic_score_gemma":0.0000013944438,"teacher_disagreement_score":0.5585997,"about_ca_system_score_codex":0.00009769453,"about_ca_system_score_gemma":0.000042836316,"threshold_uncertainty_score":0.6697861},"labels":[],"label_agreement":null},{"id":"W4409624438","doi":"10.4153/s0008439525000487","title":"Minimal Lagrangian submanifolds of weighted Kim–McCann metrics","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Lagrangian; Pure mathematics","score_opus":0.016516485091482555,"score_gpt":0.25722129988281084,"score_spread":0.24070481479132827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409624438","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34677652,0.0015181471,0.027161885,0.017663157,0.0004476282,0.0012609751,0.00016854459,0.00020868317,0.60479444],"genre_scores_gemma":[0.9635138,0.000015444586,0.016005948,0.00064555655,0.000067212204,0.000029537488,0.000017288954,0.00003862817,0.019666573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9976772,0.00009478587,0.00082031067,0.0003542575,0.00043926915,0.0006141753],"domain_scores_gemma":[0.9973809,0.0009893831,0.00018150671,0.00064996595,0.00029926345,0.0004989539],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008782073,0.00028881105,0.00078105106,0.0014047797,0.00012199712,0.00006671602,0.000529138,0.0002977879,0.01576964],"category_scores_gemma":[0.0026615167,0.0002498616,0.000344683,0.0028059755,0.00012467292,0.000031843163,0.00006167656,0.00027674585,0.0015440535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011265413,0.00019443726,0.00038627186,0.0005209778,0.00027993246,0.000037837784,0.00016565085,6.2898505e-7,0.00005299634,0.7697311,0.22670314,0.0019157456],"study_design_scores_gemma":[0.0011024012,0.00010732078,0.0011089048,0.00042789063,0.00096682564,0.000019538933,0.0009055663,0.001108406,0.0010630861,0.46005428,0.53235817,0.000777593],"about_ca_topic_score_codex":0.0010711277,"about_ca_topic_score_gemma":0.002010963,"teacher_disagreement_score":0.6167373,"about_ca_system_score_codex":0.00017944585,"about_ca_system_score_gemma":0.00033055135,"threshold_uncertainty_score":0.99999535},"labels":[],"label_agreement":null},{"id":"W4409717394","doi":"10.2140/gt.2025.29.863","title":"Parametric inequalities and Weyl law for the volume spectrum","year":2025,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Inequality; Volume (thermodynamics); Spectrum (functional analysis); Parametric statistics; Pure mathematics; Mathematical analysis; Calculus (dental); Algebra over a field; Statistics; Physics; Quantum mechanics","score_opus":0.0303120373986722,"score_gpt":0.3146385340654667,"score_spread":0.2843264966667945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409717394","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74596083,0.019507352,0.16988331,0.037973955,0.0031060297,0.0018754639,0.00009478596,0.00025933716,0.02133894],"genre_scores_gemma":[0.9837527,0.00010673339,0.001979768,0.0012073041,0.00018434117,0.00011017438,0.000007599749,0.000013961363,0.012637403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987141,0.00007817711,0.00036543165,0.00030110727,0.00014018637,0.000400999],"domain_scores_gemma":[0.9954238,0.0038685033,0.000119230186,0.0004635042,0.00007841007,0.000046577028],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008164796,0.00017667426,0.0004573251,0.00066039694,0.00029929949,0.00007505592,0.00028304098,0.00018116832,0.00039112932],"category_scores_gemma":[0.001880204,0.00011987622,0.00016469018,0.0022528835,0.0002702235,0.0000605197,0.00014169035,0.00021290251,0.000017280281],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019621399,0.00005895244,0.004105073,0.000093388124,0.00029341158,0.0000014028594,0.00010214618,0.000006029332,0.0000054678794,0.974805,0.015640512,0.004869023],"study_design_scores_gemma":[0.00051654194,0.00013165834,0.004654305,0.000009324213,0.00039882585,0.000010327832,0.0011035298,0.0006355441,0.00012375186,0.69152373,0.30069908,0.00019336154],"about_ca_topic_score_codex":0.00036481133,"about_ca_topic_score_gemma":0.00030884813,"teacher_disagreement_score":0.2850586,"about_ca_system_score_codex":0.00003232567,"about_ca_system_score_gemma":0.000031379815,"threshold_uncertainty_score":0.48884106},"labels":[],"label_agreement":null},{"id":"W4409813219","doi":"10.1088/1361-6544/adc968","title":"Curvatures of measure-preserving diffeomorphism groups of non-orientable surfaces","year":2025,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Diffeomorphism; Measure (data warehouse); Pure mathematics; Geometry; Data mining","score_opus":0.02717927390744726,"score_gpt":0.317243255044384,"score_spread":0.29006398113693677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409813219","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98068804,0.0008608159,0.009174145,0.00016849129,0.00026312468,0.0002130556,0.00005406461,0.00003162263,0.008546624],"genre_scores_gemma":[0.98387,0.000032704644,0.014786037,0.00003474348,0.000055568154,0.0000053511117,0.000018190889,0.000012199934,0.0011851649],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9982945,0.00008595704,0.0006079128,0.0002610799,0.0005107452,0.00023985088],"domain_scores_gemma":[0.99804425,0.00048746145,0.00031478735,0.0006430683,0.0004570709,0.00005333954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092138373,0.00018342977,0.00070201175,0.0002635652,0.00007566047,0.000020592799,0.00044593454,0.00019316043,0.00015226685],"category_scores_gemma":[0.0013289569,0.00015157503,0.0002460508,0.00151048,0.00009170415,0.00011902721,0.00021374729,0.00029592056,0.000002323004],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004244429,0.00640097,0.75817424,0.00546639,0.0027418337,0.000015123181,0.0022121891,0.00063382066,0.06157554,0.094348624,0.060066603,0.0079402095],"study_design_scores_gemma":[0.006166867,0.00045999786,0.5334594,0.0019105743,0.0026091598,0.0000059303975,0.0025322267,0.06843833,0.15400705,0.21247788,0.016266115,0.001666458],"about_ca_topic_score_codex":0.000518143,"about_ca_topic_score_gemma":0.00028625797,"teacher_disagreement_score":0.22471485,"about_ca_system_score_codex":0.000026163278,"about_ca_system_score_gemma":0.000084469335,"threshold_uncertainty_score":0.61810505},"labels":[],"label_agreement":null},{"id":"W4409829686","doi":"10.1177/10812865251326618","title":"Intrinsic structure of the cotangent bundle of a locally Euclidean differential space","year":2025,"lang":"lv","type":"article","venue":"Mathematics and Mechanics of Solids","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Cotangent bundle; Mathematics; Mathematical analysis; Space (punctuation); Differential (mechanical device); Pure mathematics; Euclidean space; Euclidean geometry; Bundle; Trigonometric functions; Geometry; Physics; Computer science","score_opus":0.010800253344302199,"score_gpt":0.2386654477047224,"score_spread":0.2278651943604202,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409829686","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88285166,0.002031004,0.1121321,0.00043699125,0.0006487006,0.0008900783,0.00026579792,0.0000141374785,0.00072950573],"genre_scores_gemma":[0.9903618,0.00041090406,0.008483592,0.00003322867,0.000041763935,0.000003349414,0.000004615251,0.000033093347,0.0006276389],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99717516,0.0000747064,0.0014166693,0.00030721314,0.0007033244,0.00032295534],"domain_scores_gemma":[0.99656135,0.0003617634,0.0013729247,0.0010252369,0.00059257523,0.000086144464],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00045434065,0.00039371283,0.0014781366,0.00033356567,0.000096737385,0.000039571165,0.0006255187,0.00036256883,0.00017850478],"category_scores_gemma":[0.00057362596,0.0002696964,0.0004935052,0.0012265091,0.00015462605,0.000044509216,0.00064328307,0.00035329763,9.069213e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003587383,0.0011765697,0.0000806006,0.007445004,0.0011075331,7.265904e-7,0.0021863084,0.000037341328,0.033450585,0.9517108,0.0004738922,0.0022947493],"study_design_scores_gemma":[0.0022076,0.0006088502,0.00023259931,0.003886523,0.005226909,0.000012526817,0.0051990426,0.043416686,0.14640322,0.79165167,0.0005625159,0.00059186335],"about_ca_topic_score_codex":0.000041940384,"about_ca_topic_score_gemma":0.000066445624,"teacher_disagreement_score":0.16005915,"about_ca_system_score_codex":0.000037280955,"about_ca_system_score_gemma":0.00017078484,"threshold_uncertainty_score":0.9999755},"labels":[],"label_agreement":null},{"id":"W4410701313","doi":"10.1007/s12220-025-02040-1","title":"A Curvature Flow for Radially Symmetric Hypersurfaces in $${\\mathbb {R}}^{n+1}$$ by Non-symmetric Speed of their Principal Curvatures","year":2025,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Principal curvature; Differential geometry; Mathematics; Curvature; Mean curvature flow; Flow (mathematics); Mathematical analysis; Fourier analysis; Principal (computer security); Geometry; Pure mathematics; Scalar curvature; Fourier transform; Computer science","score_opus":0.017341539387007138,"score_gpt":0.2883897041634574,"score_spread":0.2710481647764502,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410701313","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82966256,0.04962386,0.11540435,0.00082261034,0.00075644953,0.00095627975,0.00025699745,0.000038507344,0.0024783819],"genre_scores_gemma":[0.9746704,0.0018109878,0.021581048,0.0001318584,0.00016831687,0.000011741001,0.00004020172,0.00004654062,0.0015388741],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9937796,0.00026739802,0.0030512733,0.00062006555,0.0014854738,0.0007962146],"domain_scores_gemma":[0.9890522,0.004871274,0.0028732258,0.0008132511,0.002116583,0.0002735071],"candidate_categories":["metaresearch","metaepi_narrow","bibliometrics"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.0050176186,0.00064927666,0.0034310918,0.03705374,0.00014658408,0.00016353274,0.0014056115,0.0006014747,0.00012161014],"category_scores_gemma":[0.010938176,0.00048543134,0.002869999,0.11909431,0.000108691034,0.00042879992,0.00016481058,0.0009997655,0.0000026262464],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0028932283,0.012481018,0.46888557,0.0033089279,0.10637849,0.00015556304,0.0022112366,0.043787573,0.0030812104,0.014303056,0.18200876,0.16050537],"study_design_scores_gemma":[0.034760047,0.005017231,0.3573276,0.0015953395,0.104696065,0.00010251753,0.008101684,0.33484343,0.009782621,0.052947845,0.08490978,0.00591581],"about_ca_topic_score_codex":0.00012182883,"about_ca_topic_score_gemma":0.00009156693,"teacher_disagreement_score":0.29105586,"about_ca_system_score_codex":0.00035462368,"about_ca_system_score_gemma":0.0003882798,"threshold_uncertainty_score":0.99975973},"labels":[],"label_agreement":null},{"id":"W4411200481","doi":"10.1007/s12220-025-02003-6","title":"Linear Bounds for the Lengths of Geodesics on Manifolds with Curvature Bounded Below","year":2025,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Hausdorff Research Institute for Mathematics; Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; National Security Agency; Institute for Advanced Study; National Science Foundation","keywords":"Geodesic; Differential geometry; Bounded function; Mathematics; Curvature; Fourier analysis; Mathematical analysis; Sectional curvature; Geometry; Scalar curvature; Fourier transform","score_opus":0.024306782688632626,"score_gpt":0.3135509715694235,"score_spread":0.2892441888807909,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411200481","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19083191,0.005575844,0.7984291,0.0020779688,0.00032376236,0.0004398679,0.000042306812,0.00002258625,0.0022566447],"genre_scores_gemma":[0.9799637,0.00044545098,0.015156276,0.00023418281,0.00020267817,0.000009160851,0.000008068122,0.000025183303,0.0039552883],"study_design_codex":"meta_analysis","study_design_gemma":"meta_analysis","domain_scores_codex":[0.99681324,0.000101233636,0.00127248,0.00027047427,0.0011822219,0.00036037076],"domain_scores_gemma":[0.99173546,0.0039608334,0.00173275,0.0007138619,0.0017519369,0.0001051492],"candidate_categories":["bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.002696035,0.00031416208,0.001408018,0.0060856515,0.00027315025,0.00011672127,0.00079409935,0.00022427486,0.00012247074],"category_scores_gemma":[0.0028418025,0.00017100463,0.0016314908,0.02890597,0.00010764529,0.00016003891,0.000056108664,0.00057322206,0.0000017425666],"study_design_candidate":"meta_analysis","study_design_consensus":"meta_analysis","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004943767,0.0075447164,0.13583915,0.0017637494,0.3153262,0.00013091003,0.001249247,0.06986593,0.00016772193,0.19227025,0.14151078,0.12938757],"study_design_scores_gemma":[0.017483339,0.008820453,0.11908607,0.0011209011,0.36501515,0.0001209617,0.007611779,0.0866628,0.003230938,0.12446318,0.26339874,0.002985708],"about_ca_topic_score_codex":0.00003716352,"about_ca_topic_score_gemma":0.00008138573,"teacher_disagreement_score":0.7891318,"about_ca_system_score_codex":0.00013904662,"about_ca_system_score_gemma":0.00023792486,"threshold_uncertainty_score":0.9917351},"labels":[],"label_agreement":null},{"id":"W4411393991","doi":"10.1007/s00208-025-03197-4","title":"Fourier dimension of constant rank hypersurfaces","year":2025,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Dimension (graph theory); Constant (computer programming); Rank (graph theory); Fourier transform; Mathematical analysis; Fourier analysis; Pure mathematics; Combinatorics","score_opus":0.025656514262407143,"score_gpt":0.28731285006536145,"score_spread":0.26165633580295433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411393991","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6014046,0.16282792,0.04495753,0.0062081646,0.0026794137,0.002569466,0.00036306714,0.00028198445,0.17870785],"genre_scores_gemma":[0.9072783,0.0028679776,0.04548928,0.00042652758,0.0002216368,0.000042848216,0.00004673519,0.00009879794,0.043527894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9964074,0.00023007137,0.0014265095,0.00055974594,0.00082318,0.0005530838],"domain_scores_gemma":[0.9962251,0.001074417,0.00080233865,0.0012233983,0.00053744105,0.00013727718],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001632323,0.0005239713,0.0015405011,0.00064564357,0.0001917864,0.00010957978,0.0005614739,0.00041057033,0.0017700389],"category_scores_gemma":[0.0012923244,0.00042644172,0.00064022816,0.0019807871,0.00026320503,0.0001867353,0.00030835322,0.00043846446,0.0005408164],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034094584,0.0032036959,0.0031628555,0.009630395,0.010807816,0.00008604551,0.006680176,0.00011448231,0.006926784,0.4977808,0.43349648,0.027769523],"study_design_scores_gemma":[0.0088941585,0.0008703289,0.0017123062,0.013608963,0.021997299,0.000037401533,0.0124091115,0.032395482,0.04970806,0.34471822,0.50999016,0.003658502],"about_ca_topic_score_codex":0.00002323995,"about_ca_topic_score_gemma":0.0000088229845,"teacher_disagreement_score":0.3058737,"about_ca_system_score_codex":0.000042518048,"about_ca_system_score_gemma":0.00019934766,"threshold_uncertainty_score":0.99981874},"labels":[],"label_agreement":null},{"id":"W4411449516","doi":"10.2298/fil2429133z","title":"Geometric properties of a manifold associated with a generalized quarter-symmetric non-metric connection","year":2024,"lang":"en","type":"article","venue":"Filomat","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Invariant (physics); Metric (unit); Metric connection; Pure mathematics; Manifold (fluid mechanics); Quarter (Canadian coin); Mathematical analysis; Topology (electrical circuits); Fundamental theorem of Riemannian geometry; Combinatorics; Geometry","score_opus":0.030660409264971652,"score_gpt":0.24716830919173755,"score_spread":0.2165078999267659,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411449516","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98388654,0.0032019857,0.007847823,0.00010540378,0.00030551167,0.00046899988,0.00002849753,0.0002919694,0.0038632692],"genre_scores_gemma":[0.9958093,0.00005771852,0.0016918932,0.000027663717,0.00009663051,0.00006502097,0.00002749508,0.00005504446,0.0021692244],"study_design_codex":"not_applicable","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99772274,0.00009409379,0.0006087801,0.00042941124,0.0007634046,0.00038159025],"domain_scores_gemma":[0.9984789,0.00045476534,0.00026865944,0.00039701696,0.00030547363,0.000095180774],"candidate_categories":["bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.00073267636,0.00030017592,0.0006925571,0.0044039795,0.00009114536,0.00016263952,0.00022784069,0.00018798596,0.00041619886],"category_scores_gemma":[0.0013482625,0.00020094501,0.00028673894,0.021403795,0.00003318832,0.00023754947,0.000048452253,0.00023756541,0.000081601174],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016818369,0.015713159,0.04352017,0.021884069,0.041184206,0.0015290166,0.014302252,0.0008565158,0.038041383,0.1843358,0.5088652,0.1280864],"study_design_scores_gemma":[0.03433354,0.019699376,0.20417719,0.015916802,0.0286143,0.0012678565,0.01340449,0.39626685,0.15465228,0.06209802,0.05437211,0.015197193],"about_ca_topic_score_codex":0.00010966238,"about_ca_topic_score_gemma":0.00003802304,"teacher_disagreement_score":0.45449308,"about_ca_system_score_codex":0.00013879905,"about_ca_system_score_gemma":0.000073875366,"threshold_uncertainty_score":0.99939674},"labels":[],"label_agreement":null},{"id":"W4411557147","doi":"10.1016/j.jde.2025.113577","title":"Very weak solutions of the Dirichlet problem for 2-Hessian equation","year":2025,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Chinese Academy of Sciences; Canadian Anesthesiologists' Society","keywords":"Mathematics; Hessian equation; Hessian matrix; Dirichlet distribution; Dirichlet problem; Applied mathematics; Dirichlet's energy; Mathematical analysis; Partial differential equation; Boundary value problem","score_opus":0.05985043114211468,"score_gpt":0.31294871597933166,"score_spread":0.25309828483721697,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411557147","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.024484728,0.00015960129,0.9713376,0.0019023698,0.00049301254,0.00027821728,0.000019265404,0.0000066308316,0.0013185428],"genre_scores_gemma":[0.9935156,0.000008516798,0.0048977,0.000023499884,0.00013387969,0.000015714815,0.000005823475,0.000007620412,0.0013916077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985539,0.0000946032,0.0007668353,0.000082713435,0.0003501242,0.00015183914],"domain_scores_gemma":[0.99754095,0.00082669605,0.000804665,0.00021882086,0.00057316286,0.000035684046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048131216,0.000100058154,0.00031075595,0.0003589559,0.00022973688,0.000044400185,0.00028041593,0.00008058121,0.00007423675],"category_scores_gemma":[0.0016542402,0.00006350293,0.00048602233,0.0008838895,0.000043218803,0.00013412157,0.000052596486,0.0001728657,9.475947e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043642067,0.0008814544,0.00066254433,0.00018215642,0.00079144567,1.3369315e-7,0.00038896967,0.0006111341,0.006250258,0.96745795,0.017438497,0.0052917995],"study_design_scores_gemma":[0.0024082866,0.00022637685,0.014320675,0.00057615887,0.0034040161,0.0000033581996,0.00090239313,0.02550603,0.002340136,0.9460519,0.004008165,0.00025250536],"about_ca_topic_score_codex":0.0000058635414,"about_ca_topic_score_gemma":0.000044005672,"teacher_disagreement_score":0.9690309,"about_ca_system_score_codex":0.00006359005,"about_ca_system_score_gemma":0.00020695572,"threshold_uncertainty_score":0.25895742},"labels":[],"label_agreement":null},{"id":"W4411715553","doi":"10.29132/ijpas.1523117","title":"Analysis of Total Umbilical Fibers in Riemannian Submersions with Quarter Symmetric Non-Metric Connections","year":2025,"lang":"en","type":"article","venue":"International Journal of Pure and Applied Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Mathematics; Pure mathematics; Mathematical analysis; Geography","score_opus":0.012660413437429647,"score_gpt":0.29366708587845186,"score_spread":0.28100667244102223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411715553","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9860561,0.00013324575,0.0071013966,0.0010167453,0.00014645685,0.000059579434,0.000005159071,0.0000026368346,0.0054786727],"genre_scores_gemma":[0.9981039,0.000020478441,0.001683442,0.00005754756,0.00003665779,0.0000024504536,0.0000011418897,0.0000018935341,0.000092445596],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99862593,0.000022848284,0.0004732613,0.00015696236,0.00060212496,0.00011888954],"domain_scores_gemma":[0.9987443,0.0005421466,0.00032483498,0.00007437439,0.00026143718,0.000052870546],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078278355,0.000087714325,0.00036481273,0.0047087763,0.00006764911,0.00007178138,0.00027449647,0.000050086997,0.000057929625],"category_scores_gemma":[0.00020779921,0.00005843778,0.00015068433,0.008956901,0.00015108738,0.00013079612,0.00003611718,0.00016044486,4.4366988e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000519677,0.002808253,0.56856865,0.00009627725,0.013779745,0.00008172631,0.00392929,0.023738917,0.0018307822,0.3429658,0.008598974,0.03308191],"study_design_scores_gemma":[0.0045606797,0.0010817987,0.89535147,0.00038114228,0.0060631707,0.00013505227,0.026701849,0.021344902,0.0015261518,0.041071642,0.0010284039,0.0007537178],"about_ca_topic_score_codex":0.000023214241,"about_ca_topic_score_gemma":0.00012973355,"teacher_disagreement_score":0.32678285,"about_ca_system_score_codex":0.00003515719,"about_ca_system_score_gemma":0.00008746115,"threshold_uncertainty_score":0.4303494},"labels":[],"label_agreement":null},{"id":"W4411805975","doi":"10.1007/s40818-025-00215-1","title":"Interior $$C^2$$ Estimate for Hessian Quotient Equation in General Dimension","year":2025,"lang":"en","type":"article","venue":"Annals of PDE","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Quotient; Dimension (graph theory); Hessian matrix; Mathematics; Mathematical analysis; Pure mathematics; Applied mathematics","score_opus":0.12198925612822882,"score_gpt":0.4204497475323027,"score_spread":0.2984604914040739,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411805975","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9498756,0.0002630868,0.046383698,0.0018527417,0.00015510725,0.0002542048,0.000007156128,0.000016593294,0.0011918198],"genre_scores_gemma":[0.98726416,0.00001713468,0.011231871,0.00024715002,0.000022956028,0.00002399183,0.00001328861,0.000006749889,0.0011727066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921435,0.00003684491,0.0003500197,0.00013595402,0.00011421137,0.00014862564],"domain_scores_gemma":[0.9993777,0.00017772644,0.0001269554,0.00016884624,0.00012560392,0.000023111661],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059116626,0.00008187184,0.0002473469,0.0003050463,0.000025726153,0.000014257815,0.00009004464,0.00005617522,0.000029587256],"category_scores_gemma":[0.0006101771,0.00006810465,0.0001188084,0.00044727855,0.0000137175675,0.00006168869,0.00003508546,0.000049614122,0.0000030646638],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00086290727,0.0019258967,0.023875507,0.0021191041,0.00080276985,0.000011760531,0.0028958542,0.0029689148,0.028787373,0.62689203,0.18041903,0.12843885],"study_design_scores_gemma":[0.0027316175,0.0005784155,0.052079994,0.0013825032,0.0003326765,0.0000013265594,0.00060317427,0.19329959,0.11618071,0.61489344,0.017223693,0.00069286686],"about_ca_topic_score_codex":0.000041767493,"about_ca_topic_score_gemma":0.00007193604,"teacher_disagreement_score":0.19033067,"about_ca_system_score_codex":0.000011908534,"about_ca_system_score_gemma":0.000022681259,"threshold_uncertainty_score":0.27772272},"labels":[],"label_agreement":null},{"id":"W4411986385","doi":"10.1016/j.aim.2025.110422","title":"Spectral quantization for ancient asymptotically cylindrical flows","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quantization (signal processing); Mathematical analysis; Algorithm","score_opus":0.021276729342174106,"score_gpt":0.33678780206799025,"score_spread":0.31551107272581613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411986385","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035377167,0.0008998648,0.94462794,0.00026800158,0.00032444322,0.00058839837,0.000006555987,0.00007258172,0.017835023],"genre_scores_gemma":[0.27653372,0.00018311114,0.72179085,0.00015436078,0.00009654692,0.00011633529,0.00001464562,0.0000296375,0.0010808248],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99826705,0.000029285324,0.000738532,0.0003017159,0.00030030133,0.00036308408],"domain_scores_gemma":[0.9979697,0.0012868884,0.0001650746,0.00037744897,0.00015026856,0.000050655162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00081556605,0.00019745393,0.00048553367,0.00034455012,0.000080983955,0.00005239901,0.00028007425,0.00012565602,0.00006158065],"category_scores_gemma":[0.0026642226,0.0001644066,0.00017295999,0.0013553364,0.00004252174,0.00021181138,0.00005135674,0.00016694941,0.000013243877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015056665,0.0005582666,0.00070558785,0.00053874904,0.00003713356,0.0000016653986,0.00025935666,0.0010533779,0.00007370957,0.99138653,0.0005024725,0.0048680753],"study_design_scores_gemma":[0.0005991658,0.000050009687,0.00043938024,0.00017331073,0.000103778795,0.0000017042908,0.00039574565,0.11093679,0.0001923254,0.87959766,0.0073033078,0.00020681345],"about_ca_topic_score_codex":5.6157194e-7,"about_ca_topic_score_gemma":0.000076365264,"teacher_disagreement_score":0.24115655,"about_ca_system_score_codex":0.00009130706,"about_ca_system_score_gemma":0.00005429371,"threshold_uncertainty_score":0.67043066},"labels":[],"label_agreement":null},{"id":"W4412306017","doi":"","title":"Hitchin, Nigel. Manifolds with holonomy U^*(2m). Rev. Mat. Complut. 27 (2014), no. 2, 351--368.","year":2015,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Holonomy; Mathematics; Pure mathematics; Mathematical physics; Geology","score_opus":0.044867124262683925,"score_gpt":0.27153709235406853,"score_spread":0.22666996809138462,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412306017","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21931462,0.0009473774,0.07653615,0.0021162345,0.0011323419,0.0011473513,0.00003143112,0.00082352234,0.69795096],"genre_scores_gemma":[0.77328205,0.00004323526,0.1045784,0.0011227303,0.000672538,0.000047687117,0.00006357255,0.0001269864,0.120062806],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9975331,0.00009951614,0.0005656504,0.0005247493,0.00072770496,0.00054931676],"domain_scores_gemma":[0.99755055,0.00018583416,0.0002746669,0.0010227619,0.00057625794,0.000389951],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009036023,0.00039530243,0.0007387579,0.0002911262,0.00011073992,0.00016623306,0.00050240965,0.00019470151,0.0017661243],"category_scores_gemma":[0.00027857145,0.0002680254,0.00019681756,0.00079726824,0.000068126414,0.00025236726,0.00014862408,0.00032489983,0.004582693],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007001782,0.00038618792,0.0087744165,0.0000862197,0.00031247866,0.00005282096,0.00034137192,0.000023549926,0.00002365309,0.02624918,0.96310467,0.0005754377],"study_design_scores_gemma":[0.00367648,0.0008201062,0.0032628996,0.00012198276,0.0007734939,0.00017975776,0.0020346926,0.0019461232,0.00020326652,0.036182974,0.9491763,0.0016218905],"about_ca_topic_score_codex":0.00022669799,"about_ca_topic_score_gemma":0.00025089385,"teacher_disagreement_score":0.5778882,"about_ca_system_score_codex":0.00009512588,"about_ca_system_score_gemma":0.00010745518,"threshold_uncertainty_score":0.9999772},"labels":[],"label_agreement":null},{"id":"W4412307386","doi":"","title":"Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter. Quaternionic contact hypersurfaces in hyper-Kähler manifolds. Ann. Mat. Pura Appl. (4) 196 (2017), no. 1, 245--267.","year":2017,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Pure mathematics; Mathematical analysis; Mathematical physics","score_opus":0.06225848631404891,"score_gpt":0.31400749961124497,"score_spread":0.25174901329719607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412307386","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8989271,0.0008056371,0.0006891062,0.0009738632,0.000969254,0.0008170443,0.00004334526,0.00020190224,0.09657277],"genre_scores_gemma":[0.9486803,0.00020029389,0.0037856877,0.00016853916,0.00030518364,0.00006502317,0.000034466353,0.00009883675,0.0466617],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9954787,0.00016507243,0.0011857547,0.0010664352,0.0010059475,0.0010980866],"domain_scores_gemma":[0.99547887,0.00050707604,0.0008219657,0.0025071383,0.00035433023,0.00033059457],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011509486,0.0007632475,0.0013866794,0.00053223333,0.00056337024,0.0009156068,0.001703752,0.0004981808,0.0027201434],"category_scores_gemma":[0.00090086,0.0005894283,0.0005229443,0.0004861297,0.00013207122,0.00089965406,0.00049987173,0.00061239756,0.0024776664],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007356685,0.005965702,0.4356149,0.00169923,0.0031757648,0.0007851658,0.0053427336,0.00011750129,0.017135067,0.04280037,0.45844936,0.028178526],"study_design_scores_gemma":[0.016781408,0.0012025145,0.44402122,0.0011086927,0.0018077866,0.00022057135,0.009741427,0.012175497,0.004121907,0.019339038,0.48243093,0.0070490073],"about_ca_topic_score_codex":0.00078036875,"about_ca_topic_score_gemma":0.0012221615,"teacher_disagreement_score":0.04991107,"about_ca_system_score_codex":0.00018705026,"about_ca_system_score_gemma":0.000103531456,"threshold_uncertainty_score":0.9996557},"labels":[],"label_agreement":null},{"id":"W4412322616","doi":"","title":"Baraglia, D. Moduli of coassociative submanifolds and semi-flat G2-manifolds. J. Geom. Phys. 60 (2010), no. 12, 1903--1918.","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Moduli; Mathematics; Pure mathematics; Moduli space; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.029084722794382678,"score_gpt":0.26239193062896876,"score_spread":0.23330720783458608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412322616","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.856622,0.0017980918,0.0030652347,0.00023709744,0.00080721994,0.00059430074,0.000083561215,0.00018385219,0.13660868],"genre_scores_gemma":[0.9614027,0.00019284675,0.0042593866,0.00016484,0.00030667862,0.000019602348,0.000023963596,0.000051743722,0.03357825],"study_design_codex":"not_applicable","study_design_gemma":"observational","domain_scores_codex":[0.99741155,0.00011994099,0.0006993021,0.00040340735,0.00063290173,0.0007328827],"domain_scores_gemma":[0.9975719,0.0005856073,0.0005050764,0.0005996004,0.0004394652,0.00029835556],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010746473,0.00041151512,0.0009361265,0.00027422965,0.0001506392,0.00006232653,0.00028897836,0.00033709634,0.0014867582],"category_scores_gemma":[0.0008061828,0.0003277102,0.00031926946,0.0006611728,0.000096336764,0.00049284054,0.00020938907,0.00030013762,0.00025135986],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014290077,0.002911069,0.34631327,0.0011660467,0.0040977504,0.000022860952,0.0093152495,0.000016074491,0.008209759,0.16146305,0.46173322,0.004608745],"study_design_scores_gemma":[0.012272037,0.0017321724,0.62401474,0.00057814206,0.0072455388,0.00009429013,0.012859442,0.012303763,0.028670697,0.113979645,0.1787843,0.0074652466],"about_ca_topic_score_codex":0.0005802736,"about_ca_topic_score_gemma":0.00030101507,"teacher_disagreement_score":0.28294894,"about_ca_system_score_codex":0.00008226088,"about_ca_system_score_gemma":0.000038869268,"threshold_uncertainty_score":0.9999175},"labels":[],"label_agreement":null},{"id":"W4412330788","doi":"","title":"Lledó, María A.; Maciá, Óscar; Van Proeyen, Antoine; Varadarajan, Veeravalli S. Special geometry for arbitrary signatures. Handbook of pseudo-Riemannian geometry and supersymmetry, 85--147, IRMA Lect. Math. Theor. Phys., 16, Eur. Math. Soc., Zürich, 2010.","year":2011,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Geometry; Riemannian geometry; Supersymmetry; Physics; Mathematics; Mathematical physics; Algebra over a field; Pure mathematics","score_opus":0.031030027312997383,"score_gpt":0.25456791434766385,"score_spread":0.22353788703466645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412330788","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77303725,0.018751265,0.08309915,0.0008593918,0.0030673123,0.0071251737,0.00092125067,0.0009626446,0.11217654],"genre_scores_gemma":[0.84577096,0.0019719182,0.106858246,0.001052626,0.003811963,0.00031064358,0.00035691005,0.00060546666,0.03926129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99352825,0.00023801236,0.0018457355,0.0015350264,0.0012988241,0.0015541636],"domain_scores_gemma":[0.99531555,0.0009142039,0.0009014008,0.0015414469,0.0007491785,0.0005782229],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0018565544,0.0012918252,0.002276537,0.0020348297,0.0004681351,0.00024334942,0.0011733937,0.00095321005,0.0032508078],"category_scores_gemma":[0.0007897833,0.0010454213,0.0011196675,0.0031010092,0.00057395286,0.0006477536,0.00045276395,0.0010872883,0.00010980619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0029346596,0.008452485,0.01309712,0.006033831,0.007685449,0.00022789916,0.008276524,0.00001420728,0.011365386,0.5349366,0.35525808,0.051717788],"study_design_scores_gemma":[0.025406914,0.007223082,0.033464935,0.0019419894,0.01028601,0.0006279828,0.013646415,0.008969377,0.08889142,0.6858614,0.111395136,0.012285305],"about_ca_topic_score_codex":0.00020184631,"about_ca_topic_score_gemma":0.00012535653,"teacher_disagreement_score":0.24386294,"about_ca_system_score_codex":0.00015970082,"about_ca_system_score_gemma":0.0002159533,"threshold_uncertainty_score":0.9999834},"labels":[],"label_agreement":null},{"id":"W4412332056","doi":"","title":"Bielawski, Roger. A hyperkähler submanifold of the monopole moduli space. Ann. Mat. Pura Appl. (4) 199 (2020), no. 1, 401--407.","year":2021,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Submanifold; Moduli space; Magnetic monopole; Mathematical physics; Physics; Mathematics; Geometry; Mathematical analysis; Quantum mechanics","score_opus":0.01635624846585805,"score_gpt":0.24224399169824848,"score_spread":0.22588774323239041,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412332056","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55355775,0.0048295986,0.01408605,0.009193444,0.0019250074,0.0014134026,0.00012363654,0.0004055359,0.4144656],"genre_scores_gemma":[0.872674,0.00014799226,0.011364377,0.00039557848,0.00029546794,0.000034790697,0.000018012375,0.00006465232,0.11500513],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9974644,0.00011963386,0.00066048605,0.0005115528,0.00076730526,0.0004765908],"domain_scores_gemma":[0.99742234,0.00024700278,0.00030581167,0.0013542359,0.00052481546,0.00014578941],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004323004,0.00033976499,0.0007016848,0.00013354582,0.00015635008,0.0001069093,0.00053512084,0.00023769258,0.0046964055],"category_scores_gemma":[0.000646136,0.00022043915,0.0005924911,0.0021884316,0.00008145683,0.00014717998,0.00035633135,0.0003374052,0.00035666194],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054407563,0.0019629893,0.009499423,0.0007288381,0.0015949319,0.000075792705,0.0008323163,0.00018534795,0.011340284,0.22921765,0.7417744,0.0027336408],"study_design_scores_gemma":[0.004104619,0.0002966052,0.01239543,0.0004104404,0.002627313,0.00027120375,0.0072856806,0.025863994,0.08247118,0.110453,0.7509136,0.0029069167],"about_ca_topic_score_codex":0.00015118229,"about_ca_topic_score_gemma":0.00019668559,"teacher_disagreement_score":0.31911626,"about_ca_system_score_codex":0.000045894965,"about_ca_system_score_gemma":0.000118038246,"threshold_uncertainty_score":0.99621344},"labels":[],"label_agreement":null},{"id":"W4412336444","doi":"","title":"Carron, Gilles. On the quasi-asymptotically locally Euclidean geometry of Nakajima's metric. J. Inst. Math. Jussieu 10 (2011), no. 1, 119--147.","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Non-Euclidean geometry; Metric (unit); Euclidean geometry; Mathematics; Pure mathematics; Mathematical physics; Algebra over a field; Geometry; Engineering","score_opus":0.030054639554264177,"score_gpt":0.2703402760308835,"score_spread":0.24028563647661932,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412336444","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5441699,0.002877523,0.05738231,0.0032764757,0.0018201827,0.0017819988,0.00011759782,0.0005483964,0.3880256],"genre_scores_gemma":[0.9697147,0.00008606375,0.009318861,0.0009732716,0.00044540086,0.000029855253,0.000019852672,0.0000921409,0.019319851],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99531996,0.00027410436,0.0012699625,0.00052797113,0.001585607,0.0010223773],"domain_scores_gemma":[0.99388963,0.0027070309,0.00057140697,0.0015789423,0.00082521816,0.00042776475],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0031307656,0.0005750151,0.0010862986,0.0010050437,0.00022442691,0.0000731121,0.0009714686,0.00041074422,0.010482294],"category_scores_gemma":[0.0049958006,0.00033249243,0.00066794036,0.0028287915,0.00021363793,0.00027173813,0.0002848684,0.0006283542,0.0038261868],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015146757,0.0039403867,0.0070920433,0.0003648212,0.001293448,0.000010801953,0.00050542573,0.00003553631,0.00024485012,0.7403374,0.23466493,0.011358925],"study_design_scores_gemma":[0.0066659176,0.0043397304,0.057329606,0.00061850005,0.00502117,0.000106933905,0.0071967454,0.012574619,0.005228201,0.030810805,0.86431915,0.0057886187],"about_ca_topic_score_codex":0.00011404723,"about_ca_topic_score_gemma":0.00003645673,"teacher_disagreement_score":0.70952654,"about_ca_system_score_codex":0.00012920973,"about_ca_system_score_gemma":0.00011260918,"threshold_uncertainty_score":0.99991274},"labels":[],"label_agreement":null},{"id":"W4412337255","doi":"","title":"Gayet, Damien; Witt, Frederik. Deformations of associative submanifolds with boundary. Adv. Math. 226 (2011), no. 3, 2351--2370.","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Associative property; Mathematics; Physics; Pure mathematics","score_opus":0.02261398649833244,"score_gpt":0.26432606095615707,"score_spread":0.24171207445782464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412337255","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6660635,0.0009493351,0.076199174,0.00031370076,0.00046177438,0.0008196096,0.00012330193,0.00029779447,0.25477186],"genre_scores_gemma":[0.9607547,0.0000341678,0.025518263,0.00013799217,0.00018500932,0.000035334466,0.00005614463,0.000042829495,0.013235557],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9976693,0.000089068766,0.0006525451,0.00023007233,0.0007533636,0.00060565583],"domain_scores_gemma":[0.9976573,0.00032368005,0.0005997136,0.0005654628,0.00064631685,0.00020752213],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008739759,0.00031372378,0.00063993584,0.0002913132,0.0002359329,0.000080501086,0.0002938223,0.00018720525,0.0023406434],"category_scores_gemma":[0.00036213186,0.00021284257,0.00023276225,0.0008274234,0.00009861788,0.0007988216,0.00009568205,0.0002495649,0.0007324437],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017660004,0.0048259255,0.20153049,0.0006917482,0.004067549,0.000010390286,0.01569169,0.00003255066,0.00073102943,0.4834776,0.2860203,0.0027441154],"study_design_scores_gemma":[0.013257685,0.0042079403,0.3532146,0.0007108428,0.008527281,0.0002747112,0.052417237,0.012975498,0.007603908,0.0858537,0.4533263,0.0076302895],"about_ca_topic_score_codex":0.0001652987,"about_ca_topic_score_gemma":0.00034968235,"teacher_disagreement_score":0.3976239,"about_ca_system_score_codex":0.00013289807,"about_ca_system_score_gemma":0.00010152575,"threshold_uncertainty_score":0.99857134},"labels":[],"label_agreement":null},{"id":"W4412337311","doi":"","title":"Rellich’s theorem, limiting absorption principle and radiation condition on manifold with ends","year":2015,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Japan Society for the Promotion of Science","keywords":"Limiting; Manifold (fluid mechanics); Radiation; Absorption (acoustics); Mathematics; Physics; Pure mathematics; Optics; Engineering; Mechanical engineering","score_opus":0.043068983707402135,"score_gpt":0.29268927680432494,"score_spread":0.2496202930969228,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412337311","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91689056,0.000057535934,0.013832849,0.0002525496,0.00004390063,0.0001698939,0.0000024768271,0.0000950089,0.06865521],"genre_scores_gemma":[0.9949429,0.00001794359,0.0026100925,0.00012317489,0.00010297049,0.0000102881595,0.000029986795,0.000014226439,0.0021484394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991971,0.000042715954,0.00017300142,0.00018205371,0.00027769597,0.0001274157],"domain_scores_gemma":[0.9993799,0.00013986952,0.00013158904,0.00017147408,0.000093447445,0.000083747465],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051507825,0.00010854933,0.00014862943,0.00015398803,0.00005672364,0.00005809791,0.000044431206,0.00006892818,0.00010743131],"category_scores_gemma":[0.00021102579,0.0000737821,0.000028739765,0.00029353314,0.0000139253725,0.00014217,0.000014286767,0.000094361116,0.000037689268],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059166312,0.000118494085,0.0038778828,0.000027591052,0.00006892105,0.0000044393782,0.0005342992,0.00009490204,0.00010582202,0.98591703,0.003319801,0.005871664],"study_design_scores_gemma":[0.012671708,0.0051354123,0.09128852,0.00046463852,0.0012295244,0.000226492,0.013659202,0.06686142,0.013757036,0.7047239,0.08718132,0.002800804],"about_ca_topic_score_codex":0.0000101009855,"about_ca_topic_score_gemma":0.000024107349,"teacher_disagreement_score":0.2811931,"about_ca_system_score_codex":0.000045400804,"about_ca_system_score_gemma":0.000015194721,"threshold_uncertainty_score":0.30087468},"labels":[],"label_agreement":null},{"id":"W4412337548","doi":"","title":"Lin, Hai; Zheng, Tao. Higher dimensional generalizations of twistor spaces. J. Geom. Phys. 114 (2017), 492--505.","year":2017,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Twistor theory; Mathematical physics; Mathematics; Pure mathematics; Combinatorics; Physics","score_opus":0.08016054983270002,"score_gpt":0.3312215322973421,"score_spread":0.25106098246464204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412337548","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7116539,0.0037625004,0.0507206,0.008635587,0.0042961645,0.0012701696,0.00019824001,0.0005031054,0.21895972],"genre_scores_gemma":[0.8592004,0.00006166398,0.017538508,0.00025785965,0.00046222328,0.000016712047,0.00004252929,0.000042438267,0.12237766],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.998253,0.000047517475,0.00050271425,0.00036784375,0.00050884695,0.00032008026],"domain_scores_gemma":[0.99732715,0.00015141109,0.00059247075,0.0013415858,0.00043222576,0.00015514722],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036691347,0.0002562167,0.00055178173,0.00021521494,0.00040650688,0.00012637896,0.0005437015,0.00018623719,0.0042152526],"category_scores_gemma":[0.0005364675,0.00019542225,0.00031385408,0.00026799922,0.00014237472,0.0002470405,0.00020687144,0.00017427576,0.00017547293],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016206623,0.00073186075,0.008496687,0.00011444819,0.0005835356,0.00001075136,0.00022088233,0.00018077076,0.0011943814,0.21699274,0.7704887,0.0009690733],"study_design_scores_gemma":[0.0025040393,0.00018052674,0.0714531,0.00014254396,0.0012277572,0.000011296121,0.00016694258,0.0069436524,0.0021894246,0.053647134,0.86014307,0.0013904909],"about_ca_topic_score_codex":0.00039900685,"about_ca_topic_score_gemma":0.0002401639,"teacher_disagreement_score":0.1633456,"about_ca_system_score_codex":0.000039434675,"about_ca_system_score_gemma":0.00006800442,"threshold_uncertainty_score":0.99669504},"labels":[],"label_agreement":null},{"id":"W4412531926","doi":"10.1090/tran/9488","title":"Non-Markovian maximal couplings and a vertical reflection principle on a class of sub-Riemannian manifolds","year":2025,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Class (philosophy); Reflection (computer programming); Pure mathematics; Riemannian geometry; Mathematical analysis","score_opus":0.015386387529879416,"score_gpt":0.2975879200280007,"score_spread":0.2822015324981213,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412531926","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8184032,0.00001454761,0.17864926,0.00084470276,0.00003571773,0.00026993707,0.000006565322,0.000029946139,0.0017461249],"genre_scores_gemma":[0.9896911,0.00002948228,0.009678489,0.00015219391,0.0000117781,0.000024788145,5.486443e-7,0.000016739159,0.00039491273],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855393,0.000043656786,0.00054260227,0.00024633892,0.00038379597,0.00022966701],"domain_scores_gemma":[0.9985491,0.00054953253,0.0002113996,0.00050273066,0.000116579664,0.00007067216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044195628,0.00018783016,0.00061603397,0.00008964818,0.00017049182,0.000019578922,0.0002454133,0.00009513951,0.000051056173],"category_scores_gemma":[0.00016703684,0.00013014034,0.0005693219,0.0013880021,0.0005490201,0.00005284514,0.000030943516,0.0003143871,0.0000027975896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0025466466,0.021126745,0.011516558,0.013821986,0.013256651,0.000007762023,0.020781754,0.0019842423,0.13704559,0.7262877,0.011144722,0.040479638],"study_design_scores_gemma":[0.0052745165,0.0029295192,0.048862815,0.0026072909,0.008048964,0.000057979014,0.015816856,0.22855656,0.12100095,0.56335783,0.0015967436,0.0018899619],"about_ca_topic_score_codex":0.000034436915,"about_ca_topic_score_gemma":0.000012141035,"teacher_disagreement_score":0.2265723,"about_ca_system_score_codex":0.00007144264,"about_ca_system_score_gemma":0.000053612748,"threshold_uncertainty_score":0.53069687},"labels":[],"label_agreement":null},{"id":"W4412572885","doi":"10.1007/s00229-025-01655-6","title":"Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics","year":2025,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Austrian Science Fund","keywords":"Mathematics; Ricci curvature; Sobolev space; Riemannian manifold; Algorithm; Curvature; Pure mathematics; Geometry","score_opus":0.03245847744996214,"score_gpt":0.30046968870092,"score_spread":0.26801121125095784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412572885","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46971935,0.007892138,0.426813,0.009799526,0.001917274,0.0054982253,0.00029065777,0.0007540405,0.07731579],"genre_scores_gemma":[0.8566311,0.00022810293,0.093283504,0.0011827861,0.00022561387,0.0003580819,0.000046460238,0.00012439497,0.047919936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99720055,0.000071926,0.00082836195,0.0007741412,0.00047534815,0.0006496901],"domain_scores_gemma":[0.99727,0.00095722923,0.00033017737,0.00092650036,0.00027410363,0.00024198224],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014131052,0.0005469382,0.0011291706,0.00083184574,0.00050398364,0.0005059661,0.00042820454,0.0003868768,0.00006971498],"category_scores_gemma":[0.0019986113,0.0004474117,0.000270925,0.0019095932,0.00019441053,0.0003121311,0.000298391,0.00041752582,0.000012224349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008023786,0.0008378123,0.0024717944,0.0065515656,0.0011061704,0.000022182121,0.002550346,9.781859e-7,0.00026744607,0.5409014,0.43587023,0.00933982],"study_design_scores_gemma":[0.0018712471,0.00019485563,0.0050926274,0.00047177673,0.0017468672,0.000026714872,0.0016222048,0.011011116,0.00023517328,0.74309164,0.23371324,0.00092253205],"about_ca_topic_score_codex":0.000021500317,"about_ca_topic_score_gemma":0.000069969894,"teacher_disagreement_score":0.38691178,"about_ca_system_score_codex":0.00007356745,"about_ca_system_score_gemma":0.00006431509,"threshold_uncertainty_score":0.99979776},"labels":[],"label_agreement":null},{"id":"W4412751710","doi":"10.1515/crelle-2025-0051","title":"Anomaly flow: Shi-type estimates and long-time existence","year":2025,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Anomaly (physics); Type (biology); Flow (mathematics); Geology; Mathematics; Physics; Geometry; Condensed matter physics; Paleontology","score_opus":0.024127147762366078,"score_gpt":0.32556172651530324,"score_spread":0.30143457875293717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412751710","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6983406,0.1638496,0.09663218,0.0076267584,0.0018800647,0.0008968777,0.000024755434,0.00032576692,0.030423414],"genre_scores_gemma":[0.51828027,0.062394515,0.31514215,0.0014834593,0.0039176657,0.000031932148,0.000035162513,0.0004971111,0.098217696],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99596137,0.00021170078,0.0016435068,0.0004663832,0.0009127794,0.0008042641],"domain_scores_gemma":[0.99566317,0.0012346858,0.0011491603,0.0005701969,0.0008503267,0.0005324799],"candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0024578946,0.0006655666,0.0014043429,0.0011493507,0.00109776,0.0012617197,0.00074111595,0.00029609533,0.00076034584],"category_scores_gemma":[0.002675824,0.00047203444,0.0006030769,0.0014177032,0.00017457915,0.0006629433,0.00026655698,0.0013900733,0.00009178125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0024964022,0.007969871,0.043355923,0.008622696,0.033379752,0.01354872,0.012975244,0.0020230084,0.017123938,0.10553798,0.546618,0.20634846],"study_design_scores_gemma":[0.0052792598,0.0011606325,0.0035102565,0.0059780134,0.005900408,0.01182714,0.0016615012,0.018288929,0.0033334333,0.8781629,0.062597044,0.0023004685],"about_ca_topic_score_codex":0.000005522162,"about_ca_topic_score_gemma":0.000019313587,"teacher_disagreement_score":0.7726249,"about_ca_system_score_codex":0.00018696293,"about_ca_system_score_gemma":0.00023228298,"threshold_uncertainty_score":0.99977505},"labels":[],"label_agreement":null},{"id":"W4412826079","doi":"10.28924/2291-8639-23-2025-184","title":"Nullity Distributions Associated with Hashiguchi Connection","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Connection (principal bundle); Geometry","score_opus":0.013307020177695722,"score_gpt":0.310429252839392,"score_spread":0.29712223266169624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412826079","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14665838,0.00014633457,0.84945023,0.0019075105,0.000045874203,0.00007658085,0.0000438993,0.0000129649925,0.0016582257],"genre_scores_gemma":[0.997681,0.00007180164,0.0016181577,0.000066105335,0.00007517948,0.000013775702,0.00005743287,0.0000031423133,0.00041338094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9989754,0.00004337523,0.00045231968,0.00012712182,0.00032135463,0.00008043921],"domain_scores_gemma":[0.9978444,0.00034646963,0.00047681268,0.00013577157,0.0011439179,0.000052648273],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004648449,0.000087417124,0.00028868916,0.000670346,0.00012233887,0.00011487548,0.0002164189,0.00005202864,0.00007772331],"category_scores_gemma":[0.00033046014,0.00006401855,0.00023528938,0.002017314,0.000055627323,0.000119143435,0.000028005072,0.00015030456,0.0000010079146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013688317,0.0019035328,0.16974095,0.000016783173,0.038840167,0.0000107003,0.00014241172,0.000705629,0.00034654254,0.7511887,0.005638643,0.031329043],"study_design_scores_gemma":[0.0024270203,0.00015274086,0.63581365,0.00016581119,0.02018616,0.00004044936,0.0011047815,0.0044811307,0.0007775887,0.28370747,0.050650872,0.0004923278],"about_ca_topic_score_codex":0.000019231495,"about_ca_topic_score_gemma":0.00016049191,"teacher_disagreement_score":0.85102266,"about_ca_system_score_codex":0.000079152414,"about_ca_system_score_gemma":0.00005391789,"threshold_uncertainty_score":0.2610601},"labels":[],"label_agreement":null},{"id":"W4412935119","doi":"10.1007/s12220-025-02118-w","title":"Intrinsicality of Second Fundamentals of Hypersurfaces in Space Forms","year":2025,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Directorate for Mathematical and Physical Sciences","keywords":"Differential geometry; Mathematics; Fourier analysis; Space (punctuation); Pure mathematics; Algebra over a field; Mathematical analysis; Fourier transform; Linguistics; Philosophy","score_opus":0.020966100368720583,"score_gpt":0.311894188501857,"score_spread":0.2909280881331364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412935119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9800707,0.0023494894,0.013993218,0.00016737782,0.00006259978,0.0000768684,0.000013808167,0.0000031274947,0.0032628076],"genre_scores_gemma":[0.9945616,0.00024693835,0.0042005815,0.0000223527,0.00001777053,8.3063117e-7,0.0000019537201,0.0000063260845,0.00094164506],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9967587,0.00012797919,0.0019231207,0.00017941715,0.00078395114,0.00022682533],"domain_scores_gemma":[0.9956175,0.0012579773,0.0019845287,0.0003796978,0.00067452976,0.00008573562],"candidate_categories":["bibliometrics"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.0028649238,0.00017897013,0.001817306,0.01122687,0.000028956476,0.000024644487,0.00043087133,0.00014144335,0.0007660273],"category_scores_gemma":[0.0025148003,0.0001301518,0.0011783082,0.037026763,0.00008544193,0.00020769067,0.000095471296,0.00031286606,0.0000012857909],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002164997,0.0020457632,0.95241433,0.00061110425,0.016986873,0.000022328077,0.00043375586,0.002483358,0.0011289394,0.009313088,0.0025953592,0.011748619],"study_design_scores_gemma":[0.004469697,0.0007825136,0.89760333,0.00032736815,0.020910064,0.000013456754,0.009136007,0.001761061,0.015285364,0.04488861,0.004183393,0.0006391188],"about_ca_topic_score_codex":0.00009694527,"about_ca_topic_score_gemma":0.00017614952,"teacher_disagreement_score":0.054810964,"about_ca_system_score_codex":0.00013392862,"about_ca_system_score_gemma":0.00011079539,"threshold_uncertainty_score":0.99998003},"labels":[],"label_agreement":null},{"id":"W4412935841","doi":"10.1007/s00229-025-01656-5","title":"On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry","year":2025,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Cape Breton University","funders":"National Science Foundation","keywords":"Mathematics; Algebraic geometry; Sobolev space; Measure (data warehouse); Geometry and topology; Metric space; Metric (unit); Homogeneous; Number theory; Mathematical analysis; Interpolation space; Geometry; Sobolev inequality; Pure mathematics; Functional analysis; Combinatorics; Computer science","score_opus":0.02475568912358126,"score_gpt":0.26547505495820506,"score_spread":0.2407193658346238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412935841","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7981526,0.004397886,0.08894384,0.0016804565,0.00076721696,0.0024182193,0.00007166785,0.00016732169,0.10340077],"genre_scores_gemma":[0.97933453,0.00004249758,0.0047000535,0.00007972439,0.000027511316,0.00007866786,0.0000073579185,0.000037172467,0.015692497],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963973,0.00018514348,0.0015418108,0.00045174794,0.0009595193,0.00046447464],"domain_scores_gemma":[0.9959331,0.0016880336,0.00077049976,0.0010664741,0.00043883326,0.00010302846],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0017214534,0.000435713,0.001987655,0.0034391384,0.00009009655,0.000080354876,0.0005945856,0.000276173,0.0004158196],"category_scores_gemma":[0.004780617,0.00033240634,0.00060210895,0.006141458,0.00014108617,0.00012826452,0.00013597378,0.00035985117,0.000037220496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011266166,0.0059535205,0.0034094076,0.0044207023,0.003181378,0.00004500812,0.0012025374,0.0009979653,0.001659117,0.925379,0.047882594,0.004742195],"study_design_scores_gemma":[0.025781495,0.0021330365,0.006310587,0.0051171095,0.0063025844,0.000042043546,0.014812014,0.019947601,0.009053879,0.90171266,0.006515828,0.0022711833],"about_ca_topic_score_codex":0.00009903911,"about_ca_topic_score_gemma":0.00015245168,"teacher_disagreement_score":0.1811819,"about_ca_system_score_codex":0.00010248632,"about_ca_system_score_gemma":0.00014442929,"threshold_uncertainty_score":0.9999128},"labels":[],"label_agreement":null},{"id":"W4413272807","doi":"10.1007/s12220-025-02157-3","title":"Fourier dimension of conical and cylindrical hypersurfaces","year":2025,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Fourier analysis; Differential geometry; Dimension (graph theory); Mathematics; Conical surface; Fourier transform; Mathematical analysis; Geometry; Pure mathematics","score_opus":0.021059069455273485,"score_gpt":0.30746884739817143,"score_spread":0.28640977794289796,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413272807","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92801344,0.0054341555,0.06461429,0.00047910458,0.00009849511,0.00005125487,0.0000031166592,0.000006049618,0.0013000615],"genre_scores_gemma":[0.98354185,0.0005218678,0.014989739,0.000052261577,0.0000390885,4.824638e-7,0.0000011373899,0.000006599389,0.00084697513],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99754167,0.00012547073,0.0011913005,0.00019029855,0.0007530204,0.00019822815],"domain_scores_gemma":[0.9961489,0.0017148738,0.0009512791,0.00029414558,0.0007566498,0.00013415441],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018009073,0.0001652878,0.0013090681,0.0060330955,0.00006860905,0.000041172603,0.00025238798,0.00016299433,0.00020181637],"category_scores_gemma":[0.003744319,0.000114946924,0.0008449392,0.019045498,0.00009803718,0.00013149268,0.000098635086,0.0003199005,0.0000015738547],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00052616996,0.0026480746,0.8037633,0.00040406393,0.058394413,0.00013195771,0.00047680715,0.0033527866,0.0008088441,0.02196403,0.021375326,0.086154275],"study_design_scores_gemma":[0.01004766,0.0023168204,0.67631215,0.00046896617,0.16763094,0.0001740486,0.0057949717,0.050607614,0.0030861127,0.0565167,0.025272036,0.0017719818],"about_ca_topic_score_codex":0.000021268786,"about_ca_topic_score_gemma":0.000007710065,"teacher_disagreement_score":0.1274511,"about_ca_system_score_codex":0.00004833864,"about_ca_system_score_gemma":0.0000790967,"threshold_uncertainty_score":0.91507304},"labels":[],"label_agreement":null},{"id":"W4413328212","doi":"10.1016/j.bulsci.2025.103710","title":"Martingale and analytic dimensions coincide under Gaussian heat kernel bounds","year":2025,"lang":"en","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Martingale (probability theory); Heat kernel; Gaussian; Applied mathematics; Statistical physics; Statistics; Mathematical analysis; Physics","score_opus":0.04114913339955173,"score_gpt":0.32833799088807636,"score_spread":0.28718885748852463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413328212","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88407767,0.0024052379,0.013899148,0.0072256215,0.00011280476,0.0002573019,0.0000043644973,0.00020725175,0.09181063],"genre_scores_gemma":[0.9465569,0.00017408213,0.044343527,0.0010719359,0.000030197176,0.00001831743,0.0000017358332,0.000012169794,0.007791132],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980885,0.0001482626,0.00051185675,0.00044334307,0.00040402307,0.00040400596],"domain_scores_gemma":[0.99854,0.0007745652,0.00013336017,0.00031715818,0.00012085362,0.00011406968],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017795934,0.00022720966,0.00049404823,0.00043423992,0.00085765444,0.00042407122,0.00030936528,0.00009708585,0.00050874916],"category_scores_gemma":[0.0011074921,0.00016363747,0.00014087267,0.0013300494,0.0009876464,0.000114293805,0.00019847711,0.00016052119,0.00003842632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001506863,0.00038001238,0.024810903,0.000473497,0.00027904435,0.000020042331,0.0015408915,0.00015728208,0.0007331185,0.7761282,0.19363959,0.0018223568],"study_design_scores_gemma":[0.0003988972,0.00021443593,0.034209594,0.00070579426,0.0004371916,0.00004866049,0.0037509247,0.009201565,0.0007627114,0.91859174,0.03104019,0.00063827157],"about_ca_topic_score_codex":0.00025147063,"about_ca_topic_score_gemma":0.00014464444,"teacher_disagreement_score":0.1625994,"about_ca_system_score_codex":0.00007252858,"about_ca_system_score_gemma":0.0001039937,"threshold_uncertainty_score":0.6672942},"labels":[],"label_agreement":null},{"id":"W4413825231","doi":"10.1007/s00032-025-00425-z","title":"Extremal Structures and Uniqueness of Multimarginal Optimal Transportation Via Two-Marginal Reduction","year":2025,"lang":"en","type":"article","venue":"Milan Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; University of Ottawa","funders":"","keywords":"Mathematics; Uniqueness; Reduction (mathematics); Mathematical analysis; Applied mathematics; Geometry","score_opus":0.02049968073682036,"score_gpt":0.2993264279981312,"score_spread":0.27882674726131085,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413825231","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77789116,0.00043573472,0.22120294,0.000094603456,0.000119318225,0.00009522988,0.0000062547965,0.000008057263,0.0001467031],"genre_scores_gemma":[0.8076491,0.000042826727,0.19210875,0.0000070430624,0.00006432889,0.0000013160051,0.0000034122409,0.000012079635,0.00011117821],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830216,0.00006788691,0.00095946295,0.00012262857,0.00039191166,0.00015597195],"domain_scores_gemma":[0.9982597,0.00021475194,0.000841913,0.00018124835,0.00043354713,0.000068821886],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082205073,0.00018352763,0.00060951343,0.0004877914,0.000062408464,0.000029871553,0.0001824197,0.00009502023,0.00007172441],"category_scores_gemma":[0.00014809197,0.00014181968,0.00019010865,0.0004991623,0.00008868324,0.00016187268,0.000011815971,0.0002482607,3.2952195e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0019873055,0.0060299216,0.01968245,0.014873159,0.0068632984,0.00037601983,0.03633069,0.015167033,0.21625793,0.570877,0.009519076,0.1020361],"study_design_scores_gemma":[0.010540615,0.0013023599,0.028958097,0.0029286882,0.006629814,0.0018188909,0.02099325,0.032111406,0.07791841,0.8143242,0.0010836618,0.0013906137],"about_ca_topic_score_codex":0.000007444329,"about_ca_topic_score_gemma":0.0000070372243,"teacher_disagreement_score":0.24344718,"about_ca_system_score_codex":0.000036937872,"about_ca_system_score_gemma":0.00007660804,"threshold_uncertainty_score":0.57832384},"labels":[],"label_agreement":null},{"id":"W4414670683","doi":"10.2298/tam250408015j","title":"Rolling geodesics on symmetric semi-Riemannian spaces","year":2025,"lang":"en","type":"article","venue":"Theoretical and Applied Mechanics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Cotangent bundle; Geodesic; Tangent bundle; SPHERES; Integrable system; Manifold (fluid mechanics); Unit tangent bundle; Tangent space; Transversal (combinatorics); Trigonometric functions","score_opus":0.010909139841568658,"score_gpt":0.2538940444544448,"score_spread":0.24298490461287614,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414670683","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14266399,0.00049593265,0.65785986,0.0019806146,0.00028086698,0.00062958966,0.000012878882,0.00028380143,0.1957925],"genre_scores_gemma":[0.9936334,0.00010092446,0.0049307276,0.000719058,0.00007052527,0.000020325726,0.000004283518,0.000020082816,0.0005006945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99865514,0.00003827853,0.0002945719,0.00036814943,0.0003024617,0.00034141037],"domain_scores_gemma":[0.99863005,0.0007899017,0.000073976866,0.0003340208,0.000049829723,0.00012222547],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007292784,0.00023750328,0.0004379938,0.0003161326,0.0001697685,0.000102490216,0.0001933568,0.00019727615,0.00014133562],"category_scores_gemma":[0.00035532928,0.00017614168,0.00010039445,0.0013742407,0.000080624246,0.000023132423,0.00011226745,0.0003268021,0.000029096176],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046940477,0.000102709506,0.0000030337453,0.00006179065,0.000069647256,0.0000017988925,0.000050527535,0.000020493202,0.00014225076,0.9886279,0.00043802906,0.010434843],"study_design_scores_gemma":[0.00035530564,0.00005538732,0.0000037265356,0.000046885616,0.00020932536,0.0000011293303,0.00027864016,0.010517065,0.0022977542,0.98446804,0.0015753647,0.00019138162],"about_ca_topic_score_codex":8.355895e-7,"about_ca_topic_score_gemma":6.9758346e-7,"teacher_disagreement_score":0.8509694,"about_ca_system_score_codex":0.000024593088,"about_ca_system_score_gemma":0.000020533624,"threshold_uncertainty_score":0.7182849},"labels":[],"label_agreement":null},{"id":"W4414699152","doi":"","title":"A note on orbifold regularity of canonical metrics","year":2025,"lang":"en","type":"article","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Orbifold; Gravitational singularity; Metric (unit); Locus (genetics); Singularity; Variety (cybernetics)","score_opus":0.059339790699540214,"score_gpt":0.33273698189749573,"score_spread":0.2733971911979555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414699152","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9777944,0.00024528566,0.004793303,0.00077812397,0.00019234138,0.000132782,0.0000070067263,0.000045494002,0.016011281],"genre_scores_gemma":[0.9927121,0.00002575698,0.0020914893,0.0003142056,0.000050253897,0.0000068040085,0.000004328885,0.000011843597,0.0047832336],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99863565,0.00007124127,0.00043520078,0.00027736434,0.00035008238,0.00023044282],"domain_scores_gemma":[0.998181,0.00074566173,0.0001630063,0.00066369324,0.00018124066,0.00006539863],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005950797,0.0001541939,0.00046228847,0.0004756233,0.000065302615,0.000014919747,0.00029232533,0.00018379022,0.00014867587],"category_scores_gemma":[0.0029732392,0.00012422734,0.00024773358,0.0029862553,0.000047878253,0.00004619335,0.00010204171,0.00029139777,0.00004511491],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010172853,0.001520236,0.6549734,0.00035844633,0.0006793098,0.000029631148,0.00021359,0.000033424927,0.0016304145,0.29453894,0.039028358,0.0068925493],"study_design_scores_gemma":[0.0027506466,0.00048359312,0.80245966,0.00040656014,0.0017166137,0.0000050963636,0.00029582513,0.0015084434,0.029232962,0.06748346,0.092722744,0.0009343988],"about_ca_topic_score_codex":0.00009693865,"about_ca_topic_score_gemma":0.00009652436,"teacher_disagreement_score":0.22705549,"about_ca_system_score_codex":0.00007002807,"about_ca_system_score_gemma":0.00011287232,"threshold_uncertainty_score":0.5065844},"labels":[],"label_agreement":null},{"id":"W4414892331","doi":"10.1515/crelle-2025-0068","title":"Free boundary minimal disks in convex balls","year":2025,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Boundary (topology); Regular polygon; Curvature; Convex set; Convex function; Mean curvature; Work (physics); Type (biology)","score_opus":0.024357846753390644,"score_gpt":0.3314563262935272,"score_spread":0.3070984795401366,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414892331","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6856995,0.13105798,0.066677585,0.01934436,0.0034776137,0.0012579759,0.0000933444,0.00024663354,0.09214497],"genre_scores_gemma":[0.85575753,0.032215934,0.054624863,0.0016768603,0.0037154914,0.000051950687,0.00002348311,0.00036094608,0.051572956],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9944167,0.00039675168,0.0024550166,0.0004710994,0.0012454004,0.0010150092],"domain_scores_gemma":[0.99542964,0.0012441985,0.0014095851,0.0008478612,0.000576604,0.0004921279],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0037173345,0.00069066,0.0016713196,0.0020015417,0.0008218985,0.0012314278,0.0014029032,0.00038512098,0.0010349263],"category_scores_gemma":[0.0031264937,0.00050644594,0.0010391129,0.0017964867,0.0001752184,0.0006793388,0.0003687098,0.002418249,0.000047200287],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001238846,0.006233319,0.010593788,0.002653443,0.009639437,0.008084595,0.008301603,0.0003502388,0.0039577754,0.13483804,0.7489566,0.0651523],"study_design_scores_gemma":[0.005844879,0.00037339042,0.0010795712,0.0028067168,0.0013622354,0.0021162496,0.003393105,0.0008835409,0.0011751936,0.7259627,0.25395155,0.0010508907],"about_ca_topic_score_codex":0.000016565655,"about_ca_topic_score_gemma":0.00014599014,"teacher_disagreement_score":0.59112465,"about_ca_system_score_codex":0.0004321335,"about_ca_system_score_gemma":0.0004564789,"threshold_uncertainty_score":0.99988323},"labels":[],"label_agreement":null},{"id":"W4415275195","doi":"10.1016/j.aim.2025.110603","title":"Essential p-capacity-volume estimates for rotationally symmetric manifolds","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Upper and lower bounds; Principal (computer security); Manifold (fluid mechanics); Differential geometry","score_opus":0.018809100751348513,"score_gpt":0.3192476205819145,"score_spread":0.300438519830566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415275195","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02745035,0.0030938117,0.9409089,0.00032387543,0.00049178145,0.0009792737,0.000029060722,0.00013634416,0.026586581],"genre_scores_gemma":[0.26663634,0.00023978898,0.72833604,0.000101557736,0.000106246844,0.00029065734,0.000026444735,0.0000407104,0.0042222375],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981982,0.00002893105,0.0007483466,0.00032102523,0.00035058105,0.00035290618],"domain_scores_gemma":[0.9968438,0.002217987,0.00028065665,0.000388501,0.00022516963,0.000043897413],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074820436,0.00024833967,0.0005689839,0.0007831666,0.00011771414,0.00008445416,0.0003718054,0.00012950292,0.00012518631],"category_scores_gemma":[0.003483832,0.00022256136,0.00020183536,0.0021607578,0.0000670231,0.00035631348,0.00006492308,0.00016248392,0.000024635754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010562374,0.00048015756,0.0017571334,0.0013771013,0.000110233224,0.0000023564758,0.00019482612,0.00045880425,0.000046583424,0.988548,0.0013385037,0.005675782],"study_design_scores_gemma":[0.00055772264,0.000030200095,0.0005378048,0.00019531495,0.00019349581,0.0000029429668,0.00028994752,0.037075423,0.0002656073,0.9546658,0.005957017,0.00022876225],"about_ca_topic_score_codex":0.0000027282554,"about_ca_topic_score_gemma":0.000035563095,"teacher_disagreement_score":0.23918599,"about_ca_system_score_codex":0.00008708762,"about_ca_system_score_gemma":0.00004906187,"threshold_uncertainty_score":0.9075789},"labels":[],"label_agreement":null},{"id":"W4415914303","doi":"10.28924/2291-8639-23-2025-272","title":"Generating Ruled Surfaces by Focal Curves and Their Characterizations in Minkowski 3-Space","year":2025,"lang":"","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Northern Border University","keywords":"Frenet–Serret formulas; Minkowski space; Ruled surface; Surface (topology); Minkowski addition","score_opus":0.007714971053812138,"score_gpt":0.2810514279835421,"score_spread":0.27333645692972997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415914303","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50457495,0.036326453,0.4411365,0.016512193,0.00016631836,0.0003866662,0.00028815056,0.000010390682,0.00059833325],"genre_scores_gemma":[0.97262454,0.023408217,0.0022191724,0.00048119196,0.00017165925,0.000030562547,0.000107170716,0.0000127792,0.0009446859],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99734753,0.00015510144,0.0014963466,0.00035864563,0.00043522165,0.00020712799],"domain_scores_gemma":[0.99706936,0.0006642329,0.00087212713,0.00024474238,0.0010156909,0.00013382433],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010289942,0.00028870287,0.0009061465,0.001707993,0.00018891477,0.0004118315,0.00047208567,0.00014895893,0.00014208558],"category_scores_gemma":[0.00030887482,0.00023768238,0.0003944573,0.0031012804,0.00013325363,0.00033474874,0.00015219228,0.00038385656,0.0000014037029],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028327786,0.008818839,0.38413033,0.0013744953,0.09570161,0.000043126358,0.0058125523,0.00970174,0.08425909,0.11269301,0.029934024,0.26724792],"study_design_scores_gemma":[0.007844049,0.00040356262,0.18104605,0.00484736,0.033863068,0.00016533697,0.014549273,0.54370785,0.0066328263,0.034392174,0.16955255,0.0029958899],"about_ca_topic_score_codex":0.00007659717,"about_ca_topic_score_gemma":0.0002004259,"teacher_disagreement_score":0.5340061,"about_ca_system_score_codex":0.000079736164,"about_ca_system_score_gemma":0.00012267761,"threshold_uncertainty_score":0.96924067},"labels":[],"label_agreement":null},{"id":"W4415966258","doi":"10.48550/arxiv.2510.17729","title":"Free boundary minimal surfaces in products of balls","year":2025,"lang":"","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Minimal surface; Boundary (topology); Surface (topology); Homogeneous space; Product (mathematics); Free boundary problem; Euclidean geometry; Differential geometry; Metric (unit)","score_opus":0.050204732563733326,"score_gpt":0.2898316830203136,"score_spread":0.23962695045658028,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415966258","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9769155,0.009291101,0.00016953185,0.0014969725,0.0014508854,0.0012254991,0.00032454013,0.00005018881,0.00907583],"genre_scores_gemma":[0.97686183,0.0015148084,0.0052397656,0.000102581784,0.0003200702,0.00006712382,0.00009283086,0.000059804053,0.015741203],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99269044,0.00046581737,0.0029218995,0.0018234845,0.0011496485,0.0009487051],"domain_scores_gemma":[0.9923572,0.0009983268,0.0016968986,0.0037273318,0.0010436664,0.00017660695],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0026551608,0.0010401913,0.0028589102,0.0014280655,0.00015749747,0.0001444456,0.0023902305,0.0011383749,0.0011493507],"category_scores_gemma":[0.006805012,0.0010065659,0.0008088411,0.0043394505,0.00039115106,0.00024276793,0.0028701336,0.0019817168,0.00012025357],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002203015,0.0032423032,0.9588653,0.009911416,0.0022668606,0.00007616053,0.0039042996,0.0007683658,0.001275581,0.0019615663,0.014607272,0.0029005967],"study_design_scores_gemma":[0.0034893749,0.0004348166,0.89496297,0.0054917494,0.0033231582,0.000009835189,0.0030659174,0.0017014872,0.011783004,0.016386855,0.05655397,0.002796858],"about_ca_topic_score_codex":0.0005867287,"about_ca_topic_score_gemma":0.00060740206,"teacher_disagreement_score":0.0639023,"about_ca_system_score_codex":0.0002272711,"about_ca_system_score_gemma":0.0015248066,"threshold_uncertainty_score":0.9997637},"labels":[],"label_agreement":null},{"id":"W4416055631","doi":"10.1007/s00454-025-00751-4","title":"Rolling Spheres and the Willmore Energy","year":2025,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Crosslight Software (Canada)","funders":"National Science Foundation Graduate Research Fellowship Program; Einstein Stiftung Berlin; Deutsche Forschungsgemeinschaft","keywords":"Willmore energy; Invariant (physics); Curvature; Conformal map; SPHERES; Connection (principal bundle); Computation; Discretization","score_opus":0.010091848614762327,"score_gpt":0.2783084667362323,"score_spread":0.26821661812146996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416055631","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24841386,0.0070180064,0.71940583,0.0031268783,0.00030797438,0.00023841606,0.000026107267,0.000115954994,0.021346968],"genre_scores_gemma":[0.99041814,0.000032434153,0.006795099,0.0007761651,0.000082689534,0.00001422144,0.000040085117,0.000010735267,0.0018304568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988305,0.00008793767,0.00031782239,0.00024572274,0.00033996964,0.00017804997],"domain_scores_gemma":[0.99794924,0.0015662316,0.00011369537,0.00019374143,0.00013260984,0.00004450315],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003667817,0.0001551388,0.00030552674,0.00026512006,0.00023216126,0.00013082183,0.00019487964,0.000067205,0.00016565422],"category_scores_gemma":[0.00044377585,0.00009797201,0.0001563519,0.001487781,0.00015393476,0.00008696029,0.00011672993,0.00014101045,0.000004530674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049511644,0.000031962532,0.0034205422,0.00003724922,0.00031638637,0.0000024295082,0.00009457626,0.0072431164,0.000001659867,0.9737759,0.005688615,0.009338031],"study_design_scores_gemma":[0.0013361538,0.000013978606,0.009043326,0.000048450704,0.00019605749,0.000005337325,0.00082687614,0.08698974,0.000010391758,0.89366,0.007687269,0.0001824068],"about_ca_topic_score_codex":0.00009157225,"about_ca_topic_score_gemma":0.000039456987,"teacher_disagreement_score":0.7420043,"about_ca_system_score_codex":0.00001775756,"about_ca_system_score_gemma":0.000039409486,"threshold_uncertainty_score":0.39951825},"labels":[],"label_agreement":null},{"id":"W4416427643","doi":"10.1016/j.aim.2025.110681","title":"Continuous family of surfaces translating by powers of Gauss curvature","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Korea Institute for Advanced Study; Ministry of Science and ICT, South Korea; National Research Foundation of Korea; POSCO TJ Park Foundation; University of Toronto; Pohang University of Science and Technology; National Research Foundation","keywords":"Ansatz; Surface (topology); Regular polygon; Topology (electrical circuits); Curvature; Moduli; Infinity; Gauss","score_opus":0.011421331259836458,"score_gpt":0.3039087768382281,"score_spread":0.2924874455783916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416427643","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.770274,0.05258914,0.09300224,0.00022350147,0.00037527256,0.00080871553,0.0001013638,0.00008286317,0.082542926],"genre_scores_gemma":[0.92021346,0.0006976614,0.07814914,0.000026568741,0.0000075324965,0.000009270565,0.0000065726113,0.000019344916,0.00087046495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981171,0.000056404442,0.0010154458,0.0002082028,0.00036574874,0.00023712224],"domain_scores_gemma":[0.9978739,0.001002022,0.00055058755,0.00038868014,0.00015692455,0.00002789797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072097767,0.00020806672,0.00088045077,0.00026807605,0.000028245602,0.0000116075935,0.0003407348,0.00014340717,0.00003974011],"category_scores_gemma":[0.00076881965,0.0001724052,0.00016782605,0.001490354,0.00011382482,0.00019125892,0.000038141374,0.00021780469,0.0000011285349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001581435,0.0053579486,0.040601317,0.021534227,0.0014670196,0.000018639977,0.01834605,0.0032404913,0.042366203,0.7838174,0.014155224,0.068937324],"study_design_scores_gemma":[0.002029886,0.00016267733,0.00075241586,0.0026428704,0.0005634887,0.000002691756,0.018142378,0.006244828,0.012650532,0.94520575,0.010915575,0.00068688404],"about_ca_topic_score_codex":0.00001070271,"about_ca_topic_score_gemma":0.00003147267,"teacher_disagreement_score":0.16138837,"about_ca_system_score_codex":0.00002040491,"about_ca_system_score_gemma":0.000034144574,"threshold_uncertainty_score":0.703048},"labels":[],"label_agreement":null},{"id":"W4416434978","doi":"10.48550/arxiv.2511.01154","title":"Stability of the Kim--Milman flow map","year":2025,"lang":"","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Yale University","keywords":"Stability (learning theory); Flow (mathematics); Ode; Flow map; Fisher information","score_opus":0.06473572229102778,"score_gpt":0.28752259988498247,"score_spread":0.22278687759395469,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416434978","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9738989,0.0021134838,0.0044133044,0.0020947391,0.0036027578,0.0016354317,0.00033806346,0.000072950825,0.011830372],"genre_scores_gemma":[0.9848854,0.00032954154,0.0022235087,0.00024790302,0.00036039637,0.00008351005,0.000045588327,0.00005076608,0.011773409],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9930842,0.0008004043,0.0025032505,0.0015055478,0.0012889759,0.00081760477],"domain_scores_gemma":[0.9900755,0.0011831123,0.0017321492,0.0057083485,0.001086951,0.00021390349],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0026606917,0.0010028589,0.0022607653,0.0003839474,0.00039561043,0.00009278349,0.0027264978,0.0011575109,0.004411438],"category_scores_gemma":[0.0031079517,0.0007136052,0.0025299725,0.0025725593,0.00047675677,0.000119223325,0.0035600713,0.0024183504,0.00025084623],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009307648,0.002433992,0.9640505,0.008023158,0.003293715,0.000006648226,0.0038841583,0.0007485385,0.0004979212,0.0036697052,0.009024069,0.00427453],"study_design_scores_gemma":[0.002562731,0.0002541978,0.810518,0.0044373516,0.011200801,0.0000057283214,0.004951584,0.015322553,0.022455469,0.046977334,0.078043625,0.003270592],"about_ca_topic_score_codex":0.00026914364,"about_ca_topic_score_gemma":0.00031460545,"teacher_disagreement_score":0.15353245,"about_ca_system_score_codex":0.00028970634,"about_ca_system_score_gemma":0.00077563303,"threshold_uncertainty_score":0.9998831},"labels":[],"label_agreement":null},{"id":"W4416579110","doi":"10.4310/atmp.251120040338","title":"The spacetime Penrose inequality for cohomogeneity one initial data","year":2025,"lang":"en","type":"article","venue":"Advances in Theoretical and Mathematical Physics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Spacetime; Inequality; Space (punctuation); Space time; Stationary spacetime; Causal structure","score_opus":0.04845849676247218,"score_gpt":0.39191680186414113,"score_spread":0.34345830510166897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416579110","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.014029789,0.0019094545,0.96212095,0.0022093037,0.0001939272,0.00091681466,0.000104352184,0.00006437096,0.018451042],"genre_scores_gemma":[0.96593344,0.00057427667,0.032527957,0.0003004399,0.00023306526,0.00011088017,0.000037341484,0.00002306506,0.00025952994],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982853,0.00013395229,0.00052745093,0.0004072838,0.00027970766,0.00036632034],"domain_scores_gemma":[0.9919409,0.006859157,0.00010623682,0.00087782403,0.00013683444,0.000079029574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017029961,0.00020483499,0.0005293259,0.00003677724,0.00021737443,0.000096384894,0.00057029474,0.000098465054,0.0000648654],"category_scores_gemma":[0.006678641,0.0001277404,0.000094247756,0.0004891972,0.0008756699,0.00023978525,0.00046981793,0.0002496289,0.00001014504],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007258296,0.0003569424,0.000057225145,0.00029583057,0.000049638318,5.938464e-7,0.000047903934,0.0000019195622,0.000009115016,0.97248024,0.00038348275,0.026244532],"study_design_scores_gemma":[0.0004909347,0.00004203593,0.000029262146,0.000095301846,0.00014929552,6.436556e-7,0.00012953345,0.0096064005,0.00021647564,0.98578686,0.0032980733,0.0001551725],"about_ca_topic_score_codex":7.316472e-7,"about_ca_topic_score_gemma":0.000012799138,"teacher_disagreement_score":0.95190364,"about_ca_system_score_codex":0.000019752542,"about_ca_system_score_gemma":0.000034604796,"threshold_uncertainty_score":0.7995439},"labels":[],"label_agreement":null},{"id":"W4417147455","doi":"10.1016/j.euromechsol.2025.105991","title":"All admissible shapes of neutral inclusions with the complete Gurtin-Murdoch surface model","year":2025,"lang":"en","type":"article","venue":"European Journal of Mechanics - A/Solids","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"State Key Laboratory of Nonlinear Mechanics; Key Scientific Research Project of Colleges and Universities in Henan Province; Provincial Foundation for Excellent Young Talents of Colleges and Universities of Anhui Province; Tongling University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Surface (topology); Boundary (topology); Work (physics); Limit (mathematics)","score_opus":0.05244357532275439,"score_gpt":0.29392918966909143,"score_spread":0.24148561434633703,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417147455","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4195404,0.0009061327,0.5600213,0.0056827744,0.00021520557,0.00024376297,0.00002774792,0.00003695347,0.013325766],"genre_scores_gemma":[0.9776131,0.000113169874,0.020061703,0.000634505,0.000089352594,3.8054358e-7,0.0000018842791,0.000043492735,0.0014423949],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99753314,0.0004641687,0.0009187928,0.00019311915,0.00057006767,0.00032068687],"domain_scores_gemma":[0.99761474,0.00032873565,0.000897784,0.0004266144,0.0005738753,0.00015825027],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027384765,0.00025270475,0.0006013737,0.00022236799,0.00020810294,0.00007282293,0.0010035718,0.000047600384,0.00010063983],"category_scores_gemma":[0.00031409928,0.00014815456,0.00033553198,0.0009741313,0.0000387131,0.00013005694,0.00033614028,0.0006242006,0.000008254112],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008457618,0.0017077246,0.00016146914,0.0004465973,0.0043245023,0.0004417192,0.0073248837,0.2575769,0.04880753,0.52801883,0.14741144,0.0029326049],"study_design_scores_gemma":[0.0067245634,0.002468748,0.00057097536,0.0017767886,0.0052646236,0.00038527834,0.004994497,0.7315356,0.006715792,0.19553931,0.042643603,0.001380196],"about_ca_topic_score_codex":0.000003711454,"about_ca_topic_score_gemma":0.000013498824,"teacher_disagreement_score":0.55807275,"about_ca_system_score_codex":0.000039083272,"about_ca_system_score_gemma":0.00018240536,"threshold_uncertainty_score":0.6041568},"labels":[],"label_agreement":null},{"id":"W4417196968","doi":"10.1007/s12220-025-02245-4","title":"Stability of Positive Mass Theorem for Static Quasi-Local Energy of Compact (Locally) Hyperbolic Graphical Manifolds","year":2025,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"National Science Foundation","keywords":"Boundary (topology); Differential geometry; Stability theorem; Stability (learning theory); Energy (signal processing); Hyperbolic geometry; Stable manifold; Hyperbolic manifold","score_opus":0.018262846548649077,"score_gpt":0.28797139481665046,"score_spread":0.2697085482680014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417196968","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22585276,0.0010820584,0.7720758,0.00022164048,0.00006477703,0.0001150756,0.000063856736,0.00000648015,0.0005176122],"genre_scores_gemma":[0.9920996,0.00021464693,0.007411902,0.000057508496,0.000043793207,0.0000030953568,0.000013485805,0.00001748735,0.00013848953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953916,0.00037890743,0.0024068041,0.00030658933,0.0011363438,0.00037975406],"domain_scores_gemma":[0.99019873,0.004473091,0.002210917,0.0005616802,0.0023652557,0.00019035366],"candidate_categories":["bibliometrics"],"consensus_categories":[],"category_scores_codex":[0.0032532047,0.00031732954,0.0025401919,0.008890564,0.00008184048,0.000034670215,0.0006195298,0.00023169366,0.00022848381],"category_scores_gemma":[0.0028462934,0.00023410369,0.002746844,0.026863713,0.00024998438,0.00015719866,0.000054060256,0.00031073907,3.936017e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003410362,0.013548305,0.23851596,0.002299171,0.13505475,0.00006995669,0.0010805144,0.009110187,0.0027327773,0.52505267,0.006033162,0.06309218],"study_design_scores_gemma":[0.009677046,0.006414396,0.17797388,0.00066410075,0.12548749,0.000042412314,0.012291459,0.109665856,0.025963195,0.5288936,0.0011742539,0.0017523392],"about_ca_topic_score_codex":0.00021483832,"about_ca_topic_score_gemma":0.00007216699,"teacher_disagreement_score":0.76624686,"about_ca_system_score_codex":0.00016686536,"about_ca_system_score_gemma":0.0002283542,"threshold_uncertainty_score":0.9938208},"labels":[],"label_agreement":null},{"id":"W4417272093","doi":"10.28924/2291-8639-23-2025-325","title":"A Study on ϕ-Ricci Symmetric LP-Sasakian Manifolds","year":2025,"lang":"","type":"article","venue":"International Journal of Analysis and Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Riemann curvature tensor; Symmetry (geometry); Curvature; Ricci curvature; Curvature of Riemannian manifolds; Tensor (intrinsic definition); Class (philosophy); Construct (python library)","score_opus":0.01997860287297787,"score_gpt":0.3447412761584836,"score_spread":0.32476267328550573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417272093","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4876155,0.0052716513,0.4669829,0.00743253,0.00093210593,0.001360985,0.00014279495,0.00003507112,0.030226452],"genre_scores_gemma":[0.9946782,0.00089603214,0.0008680774,0.00034893243,0.00052618183,0.0000433669,0.000014147178,0.000017134284,0.002607934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9955644,0.00020300774,0.002039232,0.00050408795,0.0014230721,0.00026617377],"domain_scores_gemma":[0.9943969,0.00089955213,0.001732391,0.00060472224,0.0021565543,0.00020986375],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0016030356,0.000379661,0.0011579747,0.008085063,0.00026358702,0.0006208581,0.0011832813,0.00017481067,0.00032658593],"category_scores_gemma":[0.00042380713,0.00031537982,0.0011890017,0.010606648,0.00007689496,0.00022025996,0.00021304828,0.00058469624,0.00003186064],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003319246,0.021670869,0.221624,0.0000953657,0.16061658,0.00020812989,0.0018050289,0.0017888896,0.0001301047,0.385861,0.007996749,0.19787137],"study_design_scores_gemma":[0.006293495,0.001602764,0.7179076,0.0004219576,0.09224928,0.000096977135,0.023544488,0.0053674565,0.0001951872,0.07237997,0.078594215,0.0013466274],"about_ca_topic_score_codex":0.000058620197,"about_ca_topic_score_gemma":0.00007290622,"teacher_disagreement_score":0.5070627,"about_ca_system_score_codex":0.00021911987,"about_ca_system_score_gemma":0.00016730004,"threshold_uncertainty_score":0.99992985},"labels":[],"label_agreement":null},{"id":"W4417516970","doi":"10.48550/arxiv.2505.07506","title":"The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics. Part~I: Energy estimates and compactness results","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Agence Nationale de la Recherche; Università degli Studi di Verona; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Curvature; Codimension; Singular solution; Energy (signal processing); Singular point of a curve; Magnetization; Coupling (piping); Energy density","score_opus":0.08087653885414324,"score_gpt":0.3413911918087802,"score_spread":0.26051465295463694,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417516970","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9973203,0.0015145032,0.00030150855,0.000077697936,0.00008888088,0.0006148338,0.000038569466,0.0000102924505,0.000033422886],"genre_scores_gemma":[0.99848044,0.00020958814,0.0012145034,0.000008350208,0.0000132329,0.000020641492,0.000027050224,0.000011687984,0.00001452585],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99752426,0.00034943697,0.001303891,0.00030010083,0.00034052288,0.00018181516],"domain_scores_gemma":[0.9956002,0.0018528604,0.0013221917,0.0008290767,0.00035284788,0.000042785014],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009589675,0.00027406207,0.0009166523,0.00029966809,0.00017855037,0.000029347513,0.00022608334,0.000105288615,0.0000020462724],"category_scores_gemma":[0.0008399443,0.00016237088,0.00009196913,0.0004858033,0.00020144272,0.0000657202,0.00055936427,0.00030012085,6.2353195e-8],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0026321865,0.013399661,0.45879772,0.017953161,0.010771626,0.0006562372,0.20535006,0.1704768,0.006572582,0.09435841,0.0021507763,0.0168808],"study_design_scores_gemma":[0.01989985,0.0015982055,0.119648114,0.008754893,0.010282137,0.00036969088,0.13042495,0.44441846,0.020467212,0.24214527,0.00007509801,0.0019161211],"about_ca_topic_score_codex":0.0026481932,"about_ca_topic_score_gemma":0.004379951,"teacher_disagreement_score":0.3391496,"about_ca_system_score_codex":0.000027479971,"about_ca_system_score_gemma":0.000042503227,"threshold_uncertainty_score":0.6621292},"labels":[],"label_agreement":null},{"id":"W565592698","doi":"10.48550/arxiv.1410.0170","title":"Multiply Warped Products with a Quarter-symmetric Connection","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Quarter (Canadian coin); Curvature; Mathematics; Einstein; Scalar (mathematics); Pure mathematics; Geometry; Mathematical physics; History","score_opus":0.0780938778241997,"score_gpt":0.1939393241336392,"score_spread":0.1158454463094395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W565592698","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7769614,0.000058594884,0.21748625,0.00012266822,0.0003643793,0.0006161118,0.000012446636,0.0002728707,0.0041052727],"genre_scores_gemma":[0.99340606,0.000041408173,0.0025120599,0.000039688584,0.00023469285,0.0000030946844,0.00004687344,0.000048512582,0.0036676046],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99765086,0.00020919806,0.00031033764,0.0012214043,0.00019902902,0.00040915253],"domain_scores_gemma":[0.9970347,0.0003420879,0.0005891973,0.0012975257,0.0005699215,0.00016654177],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000515375,0.00047767643,0.0007602493,0.0010977212,0.00016248308,0.00009554151,0.0005568986,0.0004230331,0.00009007192],"category_scores_gemma":[0.00056398194,0.0004273165,0.00027768657,0.0030503257,0.00008440883,0.0001546063,0.00029579567,0.00077868445,0.00011065266],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0017251336,0.0049102367,0.039976027,0.0058942777,0.00836802,0.0012881171,0.0025586963,0.28194195,0.00022650085,0.6041712,0.044135973,0.0048038675],"study_design_scores_gemma":[0.008285389,0.001503152,0.008354551,0.00096284837,0.007881446,0.00006742088,0.0031021852,0.7440923,0.0006532246,0.20632353,0.013623502,0.0051504658],"about_ca_topic_score_codex":0.00017149888,"about_ca_topic_score_gemma":0.0001374541,"teacher_disagreement_score":0.46215034,"about_ca_system_score_codex":0.00019551991,"about_ca_system_score_gemma":0.00012946424,"threshold_uncertainty_score":0.99981785},"labels":[],"label_agreement":null},{"id":"W567997046","doi":"","title":"CANADIAN BIZAV GROUP ASSUMES REGULATOR ROLE","year":2003,"lang":"en","type":"article","venue":"Aviation International News","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Regulator; Group (periodic table); Political science; Chemistry","score_opus":0.014278848619265516,"score_gpt":0.2606837112333097,"score_spread":0.24640486261404418,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W567997046","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40470853,0.00049899094,0.03966761,0.0074095842,0.0036096508,0.0006362284,0.00009203455,0.00024764283,0.54312974],"genre_scores_gemma":[0.9825269,0.000013038145,0.0058295177,0.00049650425,0.00017996729,0.000019743138,0.00007614944,0.000017386808,0.010840779],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99886394,0.0000530009,0.0002971448,0.0002071189,0.00039411476,0.00018468461],"domain_scores_gemma":[0.9991998,0.00010617474,0.00014559184,0.00021120251,0.00019407176,0.00014316545],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00027390776,0.0001177673,0.00014223799,0.00041075822,0.00008988632,0.0001024396,0.00019883002,0.00009215426,0.0026858],"category_scores_gemma":[0.00076771504,0.000109270426,0.00011336255,0.00043700094,0.000009942795,0.00022092747,0.000012417672,0.000101219295,0.000252612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000029844375,0.00006488474,0.037054993,0.0000033964732,0.00013624066,0.000002678739,0.0001599876,0.000020746847,0.0001396933,0.92752415,0.031158736,0.0037315167],"study_design_scores_gemma":[0.00048040858,0.000024231309,0.017019564,0.000014827123,0.00006182243,0.0000115269795,0.00055279274,0.000986493,0.00033660352,0.2459911,0.7342252,0.00029538857],"about_ca_topic_score_codex":0.012310708,"about_ca_topic_score_gemma":0.079599105,"teacher_disagreement_score":0.7030665,"about_ca_system_score_codex":0.00025045982,"about_ca_system_score_gemma":0.00008302925,"threshold_uncertainty_score":0.99822587},"labels":[],"label_agreement":null},{"id":"W605070587","doi":"10.1007/978-3-319-10139-2_3","title":"The Compact-Open Topologies for the Spaces of Finitely Differentiable, Lipschitz, and Smooth Vector Fields","year":2014,"lang":"en","type":"book-chapter","venue":"SpringerBriefs in mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Differentiable function; Lipschitz continuity; Mathematics; Pure mathematics; Network topology; Topology (electrical circuits); Computer science; Combinatorics; Computer network","score_opus":0.0667839357616936,"score_gpt":0.30460719409556186,"score_spread":0.23782325833386825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W605070587","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.017735753,0.03545308,0.1425832,0.008806238,0.0023318839,0.012984759,0.00037076144,0.000326355,0.779408],"genre_scores_gemma":[0.19904074,0.008635381,0.037351,0.0002445038,0.00072922104,0.00022403742,0.000023859317,0.0003573348,0.75339395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979654,0.000040443636,0.0009152585,0.0003319173,0.0004009695,0.00034601716],"domain_scores_gemma":[0.9882771,0.009485561,0.0009465923,0.0010905712,0.00014629564,0.00005390734],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015351257,0.00044658888,0.0011475445,0.00015582966,0.00027159174,0.00026631993,0.0012471213,0.00038013206,0.00011223635],"category_scores_gemma":[0.0017750808,0.0002419019,0.00029111916,0.000111837435,0.00034948264,0.000048837504,0.0004897851,0.0005339069,0.000005321513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025357884,0.000051119376,0.00005555743,0.00087978225,0.00037114596,9.871815e-7,0.000509533,0.0000118738035,0.000003419298,0.9863468,0.009558788,0.0021856325],"study_design_scores_gemma":[0.00044134865,0.0001298171,0.00020030778,0.0006329385,0.0005560378,0.0000033510137,0.00050276075,0.0016160826,0.000056207035,0.85881865,0.13664858,0.00039393522],"about_ca_topic_score_codex":0.00005242207,"about_ca_topic_score_gemma":0.00045456132,"teacher_disagreement_score":0.18130499,"about_ca_system_score_codex":0.000029559546,"about_ca_system_score_gemma":0.00004913844,"threshold_uncertainty_score":0.98644733},"labels":[],"label_agreement":null},{"id":"W628296450","doi":"10.1007/978-3-319-10139-2","title":"Time-Varying Vector Fields and Their Flows","year":2014,"lang":"en","type":"book","venue":"SpringerBriefs in mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Differentiable function; Lipschitz continuity; Variety (cybernetics); Holomorphic function; Vector field; Pure mathematics; Mathematics; Geometry; Statistics","score_opus":0.021473263614091215,"score_gpt":0.2473764923705905,"score_spread":0.2259032287564993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W628296450","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008132541,0.0028734365,0.020563686,0.00028426078,0.0005463863,0.0013325008,0.000042047694,0.0003906717,0.96583444],"genre_scores_gemma":[0.0066113234,0.00030140148,0.050140828,0.00024254121,0.0011378226,0.000077444805,0.00005517888,0.00038156335,0.9410519],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971523,0.000076652344,0.0011044568,0.00063492224,0.00048764437,0.00054399803],"domain_scores_gemma":[0.99629724,0.0017072726,0.00059703237,0.0011296745,0.000111794456,0.00015698235],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014261687,0.00074760534,0.0017060983,0.00057192903,0.000105376326,0.00014426444,0.00055077916,0.00088900235,0.00064886524],"category_scores_gemma":[0.0010004549,0.00061058055,0.00035802214,0.00035176805,0.00011367611,0.00009634473,0.00034974696,0.0010775359,0.00021616295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063148844,0.0016070466,0.000115274335,0.023883395,0.0030179885,0.00022805849,0.020151598,0.0002921047,0.00030842374,0.61048424,0.31093475,0.028913982],"study_design_scores_gemma":[0.0006637964,0.00009704904,0.000014652537,0.0023340147,0.00038675359,0.000043501954,0.00010946562,0.026346693,0.00006814464,0.84699947,0.121549666,0.0013868224],"about_ca_topic_score_codex":0.0000046043097,"about_ca_topic_score_gemma":0.000055785138,"teacher_disagreement_score":0.23651522,"about_ca_system_score_codex":0.00016675914,"about_ca_system_score_gemma":0.00012348556,"threshold_uncertainty_score":0.99963456},"labels":[],"label_agreement":null},{"id":"W645595628","doi":"10.1090/surv/140","title":"Foliations in Cauchy-Riemann Geometry","year":2007,"lang":"en","type":"book","venue":"Mathematical surveys and monographs","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Foliation (geology); Holomorphic function; Orbifold; Mathematics; Pure mathematics; Differential geometry; Cauchy–Riemann equations; Curvature; Differential (mechanical device); Differential operator; Riemann surface; Cauchy distribution; Mathematical analysis; Geometry; Physics; Geology","score_opus":0.04341461402133115,"score_gpt":0.3026752970702614,"score_spread":0.25926068304893024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W645595628","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.013532262,0.004975195,0.13442878,0.00021063385,0.0003518859,0.0017480315,0.00027021,0.00030434984,0.8441786],"genre_scores_gemma":[0.04698697,0.0011835801,0.02196488,0.00026289604,0.0005213881,0.00017012857,0.00057842146,0.00036961172,0.9279621],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963628,0.0003165887,0.0012546725,0.00065174495,0.00073552015,0.0006786408],"domain_scores_gemma":[0.9961191,0.002325499,0.00038732786,0.00070399727,0.00016049683,0.00030357952],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0065903626,0.00061464193,0.0014678565,0.0018707133,0.00012563473,0.00015106957,0.000327117,0.0008710589,0.0007562455],"category_scores_gemma":[0.0009808016,0.0005087672,0.00050572073,0.0015151075,0.00020494564,0.00011470785,0.00017259072,0.0008754519,0.00009163344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013065385,0.0010767658,0.003826974,0.0020828722,0.00089991814,0.00014353618,0.0007917163,0.0000025050927,0.0000018262468,0.88445735,0.07937595,0.027327498],"study_design_scores_gemma":[0.0004844438,0.00007064621,0.003921431,0.00039086532,0.00035513012,0.000016579761,0.00011636555,0.00018323636,0.0000026248797,0.9677654,0.025936862,0.0007564238],"about_ca_topic_score_codex":0.000030923915,"about_ca_topic_score_gemma":0.00037959186,"teacher_disagreement_score":0.11246391,"about_ca_system_score_codex":0.000094435905,"about_ca_system_score_gemma":0.000086363456,"threshold_uncertainty_score":0.99973637},"labels":[],"label_agreement":null},{"id":"W6926366977","doi":"10.25316/ir-10516","title":"Nanaimo Free Press [Tuesday, June 21, 1898]","year":2019,"lang":"en","type":"other","venue":"VIURRSpace (Vancouver Island University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"","score_opus":0.014612246470530053,"score_gpt":0.2178788668932299,"score_spread":0.20326662042269986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6926366977","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0000021847811,0.00075018674,0.0037782656,0.00014936592,0.0022953993,0.0005145236,0.00028935337,0.0003284224,0.9918923],"genre_scores_gemma":[0.00013388324,0.0006591353,0.0015496487,0.00004579231,0.00045599428,0.0000013906426,0.0000027982173,0.00039166136,0.9967597],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9975419,0.00013048046,0.00023114454,0.000813629,0.0006949257,0.00058792013],"domain_scores_gemma":[0.99714595,0.0001936233,0.00057314057,0.001764618,0.00012747567,0.00019521482],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00015895118,0.0006544612,0.0010887751,0.0013871621,0.00011502782,0.00007399232,0.0012097501,0.0008246602,0.0020409275],"category_scores_gemma":[0.00015068532,0.00060788536,0.00049601396,0.0013870382,0.00009663198,0.00016621553,0.00047796255,0.0005930975,0.00034786834],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030152914,0.00013693485,0.0000026446412,0.00024402593,0.000619348,0.00011844704,0.000117111005,0.000010135761,0.0000022250517,0.0074958424,0.99104965,0.00017346226],"study_design_scores_gemma":[0.0015133696,0.000051800955,0.0000011420125,0.00023124105,0.00080588966,0.0000021933395,0.00050134986,0.000048252314,0.000008504464,0.0006713123,0.9954283,0.00073659426],"about_ca_topic_score_codex":0.00083578465,"about_ca_topic_score_gemma":0.008225811,"teacher_disagreement_score":0.007390026,"about_ca_system_score_codex":0.00016608268,"about_ca_system_score_gemma":0.00012775068,"threshold_uncertainty_score":0.99963725},"labels":[],"label_agreement":null},{"id":"W6930452339","doi":"10.5281/zenodo.14655561","title":"Figs 3–7 in Anthomyza gilviventris in Palaearctic Region: integrative taxonomy, variability and habitat associations of North European population (Diptera: Anthomyzidae)","year":2024,"lang":"en","type":"other","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Paratype; Habitat; Population; Holotype; Scale (ratio); European population","score_opus":0.05834638340167831,"score_gpt":0.27367445378832966,"score_spread":0.21532807038665136,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6930452339","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02135061,0.0009724922,0.0055121393,0.00065549335,0.00029714018,0.003272737,0.0019165145,0.0009385673,0.9650843],"genre_scores_gemma":[0.969247,0.0003481192,0.001296018,0.000027218284,0.00018271364,5.8942373e-7,0.0030968003,0.0033845035,0.022417067],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.996668,0.0013408735,0.00066698523,0.0006279932,0.0003855958,0.00031059273],"domain_scores_gemma":[0.9985192,0.00015844248,0.00044207394,0.0004981727,0.00027850547,0.00010362192],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001573468,0.00028665044,0.00057487836,0.0013139757,0.0002056278,0.00028231504,0.00047591387,0.0001568391,0.0029005627],"category_scores_gemma":[0.0033356096,0.00027150117,0.000115608986,0.0020456011,0.00012106361,0.00014564375,0.00059214694,0.00064145424,0.00047579754],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054650765,0.0009893306,0.020830723,0.0016355602,0.0004732896,0.00014148209,0.0033985013,0.000025346028,0.000013854384,0.010588605,0.8916182,0.07023045],"study_design_scores_gemma":[0.00072323077,0.0001607235,0.13516086,0.0008932974,0.00015696455,0.000027108203,0.00046733345,0.00031966474,0.0000019829265,0.002280172,0.8593242,0.00048445747],"about_ca_topic_score_codex":0.00024909596,"about_ca_topic_score_gemma":0.00023255269,"teacher_disagreement_score":0.94789636,"about_ca_system_score_codex":0.00027861778,"about_ca_system_score_gemma":0.000007094128,"threshold_uncertainty_score":0.9999737},"labels":[],"label_agreement":null},{"id":"W6930519523","doi":"10.5281/zenodo.13429402","title":"Little brown bat activity patterns and conservation implications in agricultural landscapes in boreal Yukon, Canada","year":2023,"lang":"en","type":"article","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Habitat; Wetland; Taiga; Boreal; Population; Agriculture; Occupancy; Clearing; Riparian zone; Agricultural land","score_opus":0.03822703958920908,"score_gpt":0.2526396877168985,"score_spread":0.2144126481276894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6930519523","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9892777,0.000013058943,0.00018154505,0.0031117697,0.000021168464,0.00020813715,0.00013380642,0.00014215238,0.0069106356],"genre_scores_gemma":[0.99855024,0.000047952715,0.000034748835,0.000044875138,0.000030344308,1.4277761e-7,0.0007833711,0.00014556668,0.00036275762],"study_design_codex":"not_applicable","study_design_gemma":"observational","domain_scores_codex":[0.9989786,0.00015526767,0.00019221468,0.00023545753,0.00020684175,0.00023159158],"domain_scores_gemma":[0.99939823,0.000091161084,0.00007096001,0.00018884074,0.00017622855,0.000074550044],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004225674,0.000090759226,0.00014187537,0.00026269976,0.00036338356,0.00020379674,0.00023800592,0.000045938225,0.00054309674],"category_scores_gemma":[0.00066596037,0.000081519305,0.00002057206,0.0015853966,0.000020039113,0.00016033552,0.00026672578,0.00017364712,0.00010040461],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007964958,0.0005175316,0.028809244,0.00040905143,0.00013113672,0.000049101058,0.0039739916,0.00022546716,0.0029768595,0.03149772,0.83724904,0.094081186],"study_design_scores_gemma":[0.0003869666,0.00002693993,0.9032352,0.000025173846,0.0000100375455,0.000015016809,0.00069806544,0.0009311418,0.000056263943,0.00075598934,0.09372386,0.00013531961],"about_ca_topic_score_codex":0.023489736,"about_ca_topic_score_gemma":0.030512426,"teacher_disagreement_score":0.874426,"about_ca_system_score_codex":0.00013942145,"about_ca_system_score_gemma":0.000008368301,"threshold_uncertainty_score":0.9871782},"labels":[],"label_agreement":null},{"id":"W6931071271","doi":"10.5281/zenodo.15596815","title":"Neurodegenerative diseases and verbal impairments from sexual intercourse in Canadian Teenagers","year":2025,"lang":"en","type":"article","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Neurocognitive; Amyotrophic lateral sclerosis; Disease; Sexual intercourse; Multiple sclerosis; Paralysis; Anxiety; Population","score_opus":0.024098309100826453,"score_gpt":0.2689309538078293,"score_spread":0.24483264470700283,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6931071271","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9717986,0.00021592095,0.0011456722,0.0011305017,0.0001102201,0.0003450951,0.00045790212,0.00018203477,0.024614032],"genre_scores_gemma":[0.9980807,0.000022736018,0.00010944321,0.00017318947,0.00004191806,4.7262066e-8,0.00043655693,0.00022045319,0.00091498595],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99879247,0.00022476348,0.00019094184,0.00032356102,0.00017439816,0.0002938821],"domain_scores_gemma":[0.99929315,0.000049900453,0.000045721088,0.00025451827,0.00014645343,0.0002102713],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00027233403,0.00011577161,0.00016219643,0.00050608563,0.00060813123,0.00040552326,0.00036859454,0.000049155886,0.0023488053],"category_scores_gemma":[0.00078210625,0.000112852926,0.000028735782,0.00085969403,0.000073543386,0.00014973256,0.00036513334,0.00018518673,0.00023320968],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018109032,0.0008668391,0.0038083086,0.00019177662,0.0005754655,0.0002474395,0.008196016,0.00012267721,0.0016342507,0.026149103,0.7789902,0.17903683],"study_design_scores_gemma":[0.0019218677,0.00029909465,0.044536904,0.00011247913,0.0001969369,0.000018405113,0.0057865204,0.004409726,0.00013274413,0.0060699675,0.9359957,0.0005196808],"about_ca_topic_score_codex":0.0074014864,"about_ca_topic_score_gemma":0.0012048783,"teacher_disagreement_score":0.17851713,"about_ca_system_score_codex":0.00018500873,"about_ca_system_score_gemma":0.0000122699275,"threshold_uncertainty_score":0.99920833},"labels":[],"label_agreement":null},{"id":"W6931279837","doi":"10.5281/zenodo.6209048","title":"Tetracis cervinaria Packard","year":2010,"lang":"en","type":"article","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Holotype; Bay; Terrane; Nautical mile; Specific name","score_opus":0.046361737977296744,"score_gpt":0.27574208357861496,"score_spread":0.2293803456013182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6931279837","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28095782,0.000078338424,0.017036634,0.0023153764,0.0005705796,0.0006949238,0.00018430033,0.0021370817,0.69602495],"genre_scores_gemma":[0.99262303,0.000018286126,0.0026725116,0.00009605938,0.0002841874,2.6437496e-8,0.00034105673,0.0010619487,0.0029029008],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.998445,0.00014907154,0.00026887082,0.00034696856,0.00044443333,0.00034569978],"domain_scores_gemma":[0.9983834,0.000064907304,0.00011787304,0.00067343353,0.0005708473,0.00018951068],"candidate_categories":["sts","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009760209,0.00014568793,0.000192342,0.0003130482,0.0014101253,0.0007060471,0.00093752844,0.00011318573,0.047927268],"category_scores_gemma":[0.0026491922,0.0001348499,0.000104788734,0.0011231547,0.000097277065,0.00021127718,0.0006246094,0.0005355981,0.008352756],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003259087,0.00037571232,0.000023212719,0.000077462195,0.00013087357,0.000020788855,0.0010197674,0.0000040718764,0.009099816,0.116576895,0.72792524,0.14471357],"study_design_scores_gemma":[0.00027574226,0.00008418393,0.00066206243,0.00000766004,0.000038026417,0.0000743024,0.00024585755,0.00017092242,0.0003090661,0.007882498,0.99007416,0.00017552859],"about_ca_topic_score_codex":0.000007647331,"about_ca_topic_score_gemma":0.0000013395195,"teacher_disagreement_score":0.7116652,"about_ca_system_score_codex":0.000039920462,"about_ca_system_score_gemma":0.0000025168824,"threshold_uncertainty_score":0.9998899},"labels":[],"label_agreement":null},{"id":"W6961065403","doi":"10.14288/1.0134403","title":"Land Use : Burnaby","year":2014,"lang":"en","type":"other","venue":"Open Collections","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Land use; Land-use planning; Deforestation (computer science); Recreational use; Agricultural land","score_opus":0.043993910926435814,"score_gpt":0.29851959837807657,"score_spread":0.2545256874516407,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6961065403","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0000010357212,0.0000742793,0.004052706,0.000050053408,0.00030921912,0.00044189717,0.000059504837,0.00009572156,0.9949156],"genre_scores_gemma":[0.000017012457,0.00006489826,0.005863055,0.00006971857,0.00033607747,0.000080440994,0.000028607174,0.00024364174,0.99329656],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9990966,0.00006956117,0.00020166216,0.00027352967,0.00018422697,0.00017445294],"domain_scores_gemma":[0.9989255,0.00019168589,0.00021447444,0.00053279696,0.00005754412,0.00007796282],"candidate_categories":["scholarly_communication","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00018679867,0.00019452663,0.00047005864,0.0002823385,0.0005422142,0.001677236,0.00039585689,0.0002563907,0.037812863],"category_scores_gemma":[0.00038013502,0.0001600533,0.00014222707,0.0017083504,0.000019330584,0.00006142782,0.00014963813,0.00021597977,0.0002157208],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000190127,0.00007074678,0.00002496795,0.000014433308,0.00021500762,0.000001845567,0.0000069155894,0.0000010448798,1.213411e-7,0.00060991873,0.9989364,0.00011669301],"study_design_scores_gemma":[0.00024573487,0.00002230073,0.000007823625,0.00006202188,0.00023337135,0.000006238353,0.000013577045,0.00003810655,5.34239e-7,0.004303498,0.99486583,0.00020093062],"about_ca_topic_score_codex":0.012178478,"about_ca_topic_score_gemma":0.02416806,"teacher_disagreement_score":0.037597142,"about_ca_system_score_codex":0.000037096437,"about_ca_system_score_gemma":0.000062920146,"threshold_uncertainty_score":0.99935913},"labels":[],"label_agreement":null},{"id":"W6977445251","doi":"10.6084/m9.figshare.22047985","title":"Retrospective evaluation of management guidelines for extracorporeal treatment of metformin poisoning","year":2023,"lang":"en","type":"article","venue":"Figshare","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Hôpital Charles-Le Moyne; Université de Sherbrooke","funders":"","keywords":"Extracorporeal; Retrospective cohort study; Metformin; Predictive value","score_opus":0.4194232231176695,"score_gpt":0.4510985563784563,"score_spread":0.03167533326078681,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6977445251","genre_codex":"dataset","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29836306,0.0072611063,0.002812992,0.00087911077,0.000708538,0.018587029,0.60526174,0.0008581828,0.06526823],"genre_scores_gemma":[0.89203364,0.00006549034,0.029266765,0.000015831723,0.00026004302,0.002156551,0.072218224,0.00006060922,0.0039228746],"study_design_codex":"not_applicable","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988118,0.000022066548,0.00040485943,0.0001585121,0.0004782545,0.00012453609],"domain_scores_gemma":[0.9980082,0.0001568041,0.00033528864,0.00022269349,0.0012544354,0.000022582295],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00042807034,0.000102229256,0.000288958,0.00025534813,0.00003103486,0.000007581596,0.0000882033,0.00004877124,0.008964878],"category_scores_gemma":[0.0025023432,0.00007842914,0.00020476317,0.00081002945,0.0000026782257,0.000052032738,0.000025913763,0.000016949985,0.000029809084],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004139545,0.00036385612,0.00039764197,0.0009927999,0.0011827407,0.0000048220713,0.000835443,0.0008641622,0.00008868668,0.005374857,0.74348307,0.24637051],"study_design_scores_gemma":[0.01429275,0.0031815511,0.10116186,0.006811841,0.008573586,0.00001110789,0.009524351,0.39678508,0.025264014,0.31109786,0.121565655,0.001730338],"about_ca_topic_score_codex":0.000005984995,"about_ca_topic_score_gemma":0.000014982876,"teacher_disagreement_score":0.6219174,"about_ca_system_score_codex":0.000090509544,"about_ca_system_score_gemma":0.000026336438,"threshold_uncertainty_score":0.99194103},"labels":[],"label_agreement":null},{"id":"W6990034673","doi":"","title":"Conformal geometry and Spectral theory on manifolds and graph","year":2024,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Conformal map; Spectral geometry; Graph; Differential geometry; Graph theory; Manifold (fluid mechanics)","score_opus":0.01589801077027733,"score_gpt":0.25457578704854467,"score_spread":0.23867777627826733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6990034673","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86730146,0.0023599656,5.19648e-7,0.000013312901,0.00082078774,0.00043109577,0.0004986621,0.00021886975,0.12835535],"genre_scores_gemma":[0.97371227,0.0011683461,0.00046412338,0.00021417106,0.00010977271,0.0000506838,0.000476058,0.00022124272,0.023583313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99597156,0.00021384863,0.00091457844,0.001158635,0.0010037839,0.00073761045],"domain_scores_gemma":[0.9975417,0.0007462291,0.00044309717,0.0006863512,0.00019655634,0.0003860238],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0018544913,0.00095554517,0.001133347,0.0016608957,0.000688427,0.00034794782,0.00043742283,0.0010391432,0.0004490797],"category_scores_gemma":[0.0008575883,0.00083479274,0.0004850335,0.0014288898,0.00008546467,0.00045943644,0.00015314521,0.0021246541,0.00018288416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001784002,0.00013755095,0.000015435931,0.00092684856,0.00082005025,0.00011511488,0.000032659464,0.0000010926925,0.00050757587,0.9385874,0.000054081207,0.058623787],"study_design_scores_gemma":[0.000987707,0.0004572918,0.0020044646,0.00083178136,0.0021466992,0.000088402085,0.0018368353,0.00002667075,0.0045856372,0.9565331,0.028823,0.001678425],"about_ca_topic_score_codex":0.00004959015,"about_ca_topic_score_gemma":0.00036584935,"teacher_disagreement_score":0.10641085,"about_ca_system_score_codex":0.00016517508,"about_ca_system_score_gemma":0.000030343299,"threshold_uncertainty_score":0.9994103},"labels":[],"label_agreement":null},{"id":"W6992312166","doi":"","title":"A Kümmer construction for Chern-Ricci flat balanced manifolds","year":2023,"lang":"en","type":"preprint","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Manifold (fluid mechanics); Sequence (biology); Boundary (topology); Intersection (aeronautics); Set (abstract data type)","score_opus":0.09944626761679033,"score_gpt":0.33623165705208147,"score_spread":0.23678538943529115,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6992312166","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.085709676,0.00037144785,0.8701799,0.0022687074,0.005232942,0.0028500934,0.00024558307,0.0015543083,0.03158735],"genre_scores_gemma":[0.4296078,0.00036525834,0.38670927,0.00039327398,0.0025168096,0.0012438062,0.0007756638,0.00035387007,0.17803423],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99803996,0.000034838504,0.00057965843,0.0006246911,0.00037177888,0.00034907376],"domain_scores_gemma":[0.99815345,0.00039246748,0.0003671828,0.0007181969,0.00028014035,0.000088572204],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00054086774,0.00035581694,0.00075592054,0.00036671004,0.000085629115,0.0001335683,0.00032618977,0.0006050989,0.0007389387],"category_scores_gemma":[0.00053576735,0.0002917897,0.00060591777,0.00055528333,0.000030778578,0.000047634025,0.0003277946,0.00041506256,0.00018292319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010503059,0.00025765845,0.0046522943,0.0034519867,0.0039003019,0.000019635427,0.00063547585,0.00032001967,0.00041802067,0.3401685,0.6267378,0.019333322],"study_design_scores_gemma":[0.0012227251,0.00007171031,0.0015076817,0.00023176015,0.001470936,0.000013679324,0.0010493489,0.013816224,0.00068750046,0.9499216,0.028822038,0.0011847662],"about_ca_topic_score_codex":0.000078061385,"about_ca_topic_score_gemma":0.00011176935,"teacher_disagreement_score":0.60975313,"about_ca_system_score_codex":0.00009016768,"about_ca_system_score_gemma":0.000072203584,"threshold_uncertainty_score":0.99995345},"labels":[],"label_agreement":null},{"id":"W7012007875","doi":"","title":"AMA safety survey","year":2017,"lang":"en","type":"other","venue":"Bulletin of Miscellaneous Information (Royal Gardens Kew)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Government (linguistics); Vice president; Occupational safety and health; Work (physics)","score_opus":0.01635048992928144,"score_gpt":0.22701332645331737,"score_spread":0.21066283652403595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7012007875","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000011716673,0.00033408805,0.0000044158214,0.000050401464,0.00034594856,0.00032897267,0.00036723338,0.00014196814,0.99841523],"genre_scores_gemma":[0.00035153257,0.00039844264,0.0016146087,0.00007901625,0.00022358638,0.0000075900894,0.00038592002,0.00015184132,0.9967875],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9979059,0.00014498054,0.0007467831,0.00024023911,0.00062937354,0.0003327387],"domain_scores_gemma":[0.9967185,0.00037749205,0.0014990979,0.0009978326,0.00027373145,0.00013330027],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009016467,0.000419087,0.00085944554,0.00015936277,0.00012271176,0.000105548206,0.0006776017,0.00062868994,0.4930821],"category_scores_gemma":[0.0015683005,0.00037212952,0.00032530876,0.000013805671,0.00012302832,1.7632487e-7,0.00013651956,0.00035553644,0.01103328],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037614915,0.000049323662,0.000013563881,0.00038288836,0.0002061563,0.000008600704,0.00003162731,0.000009919139,1.2272569e-8,0.00013367007,0.9970959,0.0020307233],"study_design_scores_gemma":[0.00041028307,0.00005229092,0.00009949886,0.0002551009,0.00014520035,0.00001723928,0.000021861382,0.000008417137,6.6634965e-7,0.000088257584,0.99851817,0.0003830427],"about_ca_topic_score_codex":0.008584437,"about_ca_topic_score_gemma":0.012440461,"teacher_disagreement_score":0.48204884,"about_ca_system_score_codex":0.000044019383,"about_ca_system_score_gemma":0.00003893702,"threshold_uncertainty_score":0.99987304},"labels":[],"label_agreement":null},{"id":"W7012889411","doi":"","title":"Curves on a plane","year":2012,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"","score_opus":0.03485953123710015,"score_gpt":0.27936434555267736,"score_spread":0.24450481431557722,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7012889411","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6239276,0.0027479185,2.4534563e-7,0.000029396017,0.0018878749,0.000814537,0.0010664113,0.0003993314,0.36912668],"genre_scores_gemma":[0.92839926,0.0009637822,0.000650486,0.000595697,0.00024334958,0.00020081188,0.0029930172,0.0003638132,0.06558978],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9945397,0.00037224448,0.0012272958,0.0011024963,0.0016962227,0.0010620578],"domain_scores_gemma":[0.9957023,0.00087975874,0.0010729172,0.0013994686,0.000432818,0.0005127369],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0015626504,0.0011227811,0.0015423871,0.00092897593,0.00077342597,0.00008957909,0.0009325596,0.001223664,0.0028285573],"category_scores_gemma":[0.0026650487,0.0010145239,0.00086115586,0.0015089667,0.000034870933,0.0005169477,0.00009737197,0.0023738428,0.0018767603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005233899,0.0028144692,0.00008558314,0.0063700764,0.0027979321,0.00018164712,0.00003852909,0.0000067968995,0.0056359726,0.78823936,0.003268272,0.19003798],"study_design_scores_gemma":[0.0025158862,0.00074301317,0.0045471415,0.0073501817,0.0055645336,0.000090405396,0.0008816609,0.000012357801,0.026569992,0.23254874,0.7134733,0.005702741],"about_ca_topic_score_codex":0.000115762065,"about_ca_topic_score_gemma":0.0008670037,"teacher_disagreement_score":0.7102051,"about_ca_system_score_codex":0.00040140506,"about_ca_system_score_gemma":0.000042334308,"threshold_uncertainty_score":0.9999277},"labels":[],"label_agreement":null},{"id":"W7017664269","doi":"","title":"The Bures metric: from positive linear functionals to completely positive maps","year":2024,"lang":"en","type":"dissertation","venue":"oURspace (University of Regina)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Faculty of Graduate Studies and Research, University of Alberta; University of Regina","keywords":"Degree (music); Field (mathematics); Calculus (dental); Term (time); Stability (learning theory)","score_opus":0.020679220607241568,"score_gpt":0.2596557516735295,"score_spread":0.23897653106628794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7017664269","genre_codex":"commentary","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16944413,0.00816363,0.012097438,0.7869536,0.0021648728,0.0014419123,0.0021488494,0.000233455,0.017352074],"genre_scores_gemma":[0.019523757,0.0006542295,0.011387316,0.000110165456,0.0004335001,0.0000028313002,0.0026813196,0.0001027331,0.96510416],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99817276,0.0001309346,0.00004690378,0.000535465,0.0008117722,0.00030215387],"domain_scores_gemma":[0.99696124,0.0012270766,0.00042128694,0.00047680843,0.00075890694,0.00015469283],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00035323767,0.00034287962,0.0006806564,0.00079034286,0.0004600609,0.00008609635,0.0005759752,0.0003389277,0.000051974195],"category_scores_gemma":[0.0003565776,0.00030774972,0.00055588846,0.0020383913,0.00007671829,0.00011892795,0.00011232925,0.0005374322,0.00025770196],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023092164,0.000041406493,0.000023071609,0.00007644819,0.0015782432,0.00006063425,0.001856637,0.000027403563,0.00008669018,0.02191161,0.97183,0.0022768993],"study_design_scores_gemma":[0.0003085992,0.0002071155,0.0024334404,0.00049146864,0.002173641,0.0000032142198,0.05299726,0.00017747731,0.00011385356,0.0029021662,0.937723,0.000468797],"about_ca_topic_score_codex":0.00019828927,"about_ca_topic_score_gemma":0.0027884908,"teacher_disagreement_score":0.94775206,"about_ca_system_score_codex":0.00017069395,"about_ca_system_score_gemma":0.00013511471,"threshold_uncertainty_score":0.9999375},"labels":[],"label_agreement":null},{"id":"W7022464259","doi":"","title":"Porto di Genova","year":2014,"lang":"it","type":"book-chapter","venue":"CINECA IRIS Institutial Research Information System (University of Genoa)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Life style; Research method; Research methodology","score_opus":0.09132443382948256,"score_gpt":0.2902618384479745,"score_spread":0.1989374046184919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7022464259","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.003022375,0.00022164779,0.19656141,0.00031965986,0.00070996006,0.001737787,0.00038924871,0.00014016785,0.79689777],"genre_scores_gemma":[0.91933167,0.0005994987,0.0024756847,0.000037465343,0.0006006533,0.0000029010696,0.0005906473,0.00006320056,0.0762983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9922194,0.00030612238,0.0016597558,0.0006318689,0.0041803205,0.0010025258],"domain_scores_gemma":[0.9897331,0.0004694424,0.0020463238,0.0018699899,0.0052201548,0.00066096085],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0059124064,0.00070645276,0.0018914138,0.004250203,0.0016144346,0.00026865845,0.0019264686,0.0013707717,0.00235726],"category_scores_gemma":[0.0009114053,0.0007904596,0.00091832835,0.0015287843,0.0010106157,0.0014921605,0.0010772159,0.0017045182,0.0062040254],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003745372,0.00006248492,0.00011106158,0.0062089427,0.001275556,0.000109920686,0.0041569057,0.00033867385,0.000040286584,0.94757134,0.02290483,0.016845452],"study_design_scores_gemma":[0.0019216847,0.0004013402,0.00034662153,0.0015718993,0.0005959653,0.00006500732,0.013649191,0.005382144,0.000016746708,0.00057260896,0.9746454,0.00083139114],"about_ca_topic_score_codex":0.0009379528,"about_ca_topic_score_gemma":0.00011083805,"teacher_disagreement_score":0.95174056,"about_ca_system_score_codex":0.0010929818,"about_ca_system_score_gemma":0.0011225742,"threshold_uncertainty_score":0.9999257},"labels":[],"label_agreement":null},{"id":"W7022478245","doi":"","title":"Introduction","year":2020,"lang":"fr","type":"other","venue":"OpenEdition (OpenEdition)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Nucleofection; Gestational period; TSG101; Dysgeusia; Diafiltration; Liquation; Fusible alloy; Emperipolesis; Demotion","score_opus":0.017564063269291445,"score_gpt":0.24136326957097223,"score_spread":0.2237992063016808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7022478245","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000108705295,0.0026481613,0.034373343,0.27648404,0.011156271,0.0018959445,0.00082330406,0.00041285375,0.6720974],"genre_scores_gemma":[0.005358045,0.001244965,0.015184201,0.026193906,0.035970803,0.00052309147,0.0070607895,0.0006633816,0.9078008],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9937602,0.0005257663,0.0015743726,0.0017350138,0.0015265695,0.00087806943],"domain_scores_gemma":[0.99562055,0.0003649425,0.0014649386,0.0013208026,0.00056768244,0.00066107925],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00081324775,0.0011933155,0.0017459375,0.00084573706,0.0005459585,0.00073242554,0.0009493475,0.0012309873,0.5347865],"category_scores_gemma":[0.0015858415,0.0012104827,0.00085812336,0.0025918363,0.0002977926,0.0066070496,0.00033591714,0.0013240946,0.06719268],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004097542,0.00042301297,0.000013122485,0.0003803133,0.0005492551,0.00005168273,0.0000747815,0.000058624402,0.00009312352,0.38430184,0.60327095,0.01074229],"study_design_scores_gemma":[0.0010519482,0.0003058043,0.0010698589,0.0003837141,0.0014346263,0.000077566154,0.00031631172,0.0004681089,0.0003545712,0.009593587,0.9836942,0.0012497328],"about_ca_topic_score_codex":0.00007082683,"about_ca_topic_score_gemma":0.00106426,"teacher_disagreement_score":0.46759382,"about_ca_system_score_codex":0.0004783059,"about_ca_system_score_gemma":0.0002709955,"threshold_uncertainty_score":0.9990345},"labels":[],"label_agreement":null},{"id":"W7023278282","doi":"","title":"Atlanticism","year":2019,"lang":"en","type":"other","venue":"Bilkent University Institutional Repository (Bilkent University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Toronto","keywords":"Process (computing); Identification (biology); Product (mathematics)","score_opus":0.020617459996597844,"score_gpt":0.2064710682489992,"score_spread":0.18585360825240135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7023278282","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0016412142,0.00026434156,0.0044615143,0.00009645222,0.0015159003,0.00064674707,0.00012745358,0.0005007141,0.99074566],"genre_scores_gemma":[0.011639215,0.0003944407,0.0012946972,0.000035548797,0.00039045585,2.4945047e-7,0.00014328536,0.0001466761,0.9859554],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9969948,0.00020704308,0.0003037883,0.0009807905,0.0009956547,0.00051794125],"domain_scores_gemma":[0.9976955,0.00017422644,0.0006106666,0.0009894853,0.00021476469,0.00031538043],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00016193732,0.0006147656,0.0008310676,0.0024410277,0.000582181,0.00006980941,0.0011035983,0.0007864557,0.00095362036],"category_scores_gemma":[0.000071904986,0.0006717908,0.000736017,0.001624084,0.0003879829,0.00028692963,0.00046547476,0.0005878279,0.00067209185],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012492704,0.00059277925,0.0010661519,0.00029008996,0.0011892507,0.0026392515,0.00007101818,0.00010503304,0.000053521166,0.3703574,0.6233176,0.00019298562],"study_design_scores_gemma":[0.001184296,0.000058292124,0.00017881626,0.00039027506,0.0009067128,0.00006051515,0.00056141196,0.000076291195,0.000019414278,0.0001786098,0.99563783,0.00074753945],"about_ca_topic_score_codex":0.0006193918,"about_ca_topic_score_gemma":0.0001376702,"teacher_disagreement_score":0.37232023,"about_ca_system_score_codex":0.0011086742,"about_ca_system_score_gemma":0.00073831517,"threshold_uncertainty_score":0.99995965},"labels":[],"label_agreement":null},{"id":"W7024089646","doi":"","title":"Prévention par la photothérapie des troubles d'adaptation au travail de nuit","year":2002,"lang":"fr","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Population; Economic shortage; Domestic work","score_opus":0.04707331353117862,"score_gpt":0.25803978733000626,"score_spread":0.21096647379882766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024089646","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3477677,0.024426313,0.45672116,0.0008599235,0.00043110424,0.00046499897,0.000018793224,0.0001694033,0.16914058],"genre_scores_gemma":[0.76365614,0.0017021965,0.051398274,0.000068895075,0.00024537637,0.000028042343,0.000011854527,0.000038587154,0.18285061],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99792314,0.0002941797,0.00053806935,0.0003115606,0.00038798217,0.0005450822],"domain_scores_gemma":[0.9987793,0.00035733246,0.00022473611,0.00031160025,0.00014465864,0.00018238185],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009962467,0.0002739025,0.00038537727,0.00025483602,0.00022966719,0.00019467567,0.0001757805,0.0003369752,0.016721724],"category_scores_gemma":[0.00034941846,0.00025562118,0.00038301322,0.0010728718,0.0001827214,0.0003654728,0.000024298914,0.00024149557,0.00062974717],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040106886,0.0043610577,0.0069468496,0.0015352645,0.0013268207,0.000060387996,0.029848298,0.001053673,0.0010002361,0.16575386,0.081245065,0.70682836],"study_design_scores_gemma":[0.004396804,0.00068904046,0.03035209,0.0009572153,0.0041875206,0.00022644115,0.01593242,0.45726255,0.0036012242,0.18970431,0.29085535,0.0018350085],"about_ca_topic_score_codex":0.001061064,"about_ca_topic_score_gemma":0.0033731076,"teacher_disagreement_score":0.70499337,"about_ca_system_score_codex":0.0002566236,"about_ca_system_score_gemma":0.00006001594,"threshold_uncertainty_score":0.9999896},"labels":[],"label_agreement":null},{"id":"W7024459823","doi":"","title":"The Routes of Rule: The Role of Roads in Kenyan Governance and Popular&#13;\\nEvaluations of âDevelopmentâ and Authority, 1890s-1992","year":2013,"lang":"en","type":"dissertation","venue":"Library and Archives Canada (Government of Canada)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Vision; Colonialism; Kenya; Corporate governance; Politics; State (computer science); Theme (computing)","score_opus":0.005389968593411978,"score_gpt":0.18641192434586878,"score_spread":0.1810219557524568,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024459823","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96539927,0.006151243,0.000004980448,0.000659075,0.00008618677,0.0003435625,0.00022806498,0.0000020197908,0.02712559],"genre_scores_gemma":[0.9918103,0.0016883108,0.0006148265,0.000024550369,0.000014665114,0.000016365462,0.000032934196,0.00001686068,0.0057811756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99725676,0.00010527087,0.0006778728,0.0002007148,0.0015756172,0.00018376872],"domain_scores_gemma":[0.99816215,0.000655782,0.0008416077,0.0002554725,0.000005629314,0.00007935266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000089183166,0.00021017068,0.00051263423,0.000043049415,0.0001347263,0.000021991998,0.0002817755,0.00006446876,0.000017557548],"category_scores_gemma":[0.000070445356,0.00014217505,0.000044782562,0.00023100313,0.000106484935,0.00015514318,0.00010483738,0.0001909584,7.004648e-10],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035893344,0.00015739216,0.19789454,0.0017783085,0.0008716599,0.0000049858736,0.0027744449,0.00002924632,0.008709011,0.71995836,0.0017307983,0.065732345],"study_design_scores_gemma":[0.0004871934,0.00007556047,0.8783595,0.0005937148,0.00026583698,0.0000021776377,0.018501183,0.0016057421,0.027679153,0.067308985,0.004772007,0.00034894858],"about_ca_topic_score_codex":0.012199244,"about_ca_topic_score_gemma":0.15404943,"teacher_disagreement_score":0.680465,"about_ca_system_score_codex":0.00000755809,"about_ca_system_score_gemma":0.00087313354,"threshold_uncertainty_score":0.9943786},"labels":[],"label_agreement":null},{"id":"W7024720662","doi":"","title":"Supervised Group Exercise Therapy Versus Home-based Exercise Therapy: The Effect of McGill Exercises on Pain, Disability and Trunk Stability in Middle-aged Women With Non-specific Chronic Low Back Pain","year":2023,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Low back pain; Trunk; McGill Pain Questionnaire; Rehabilitation; Inclusion and exclusion criteria; Analysis of variance; Back pain; Analysis of covariance","score_opus":0.18716823048070555,"score_gpt":0.43300143903193394,"score_spread":0.2458332085512284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024720662","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9870707,0.009245621,0.00009754623,0.000110083834,0.00017241122,0.003074839,0.00008745828,0.00005762763,0.00008373896],"genre_scores_gemma":[0.9767254,0.022300746,0.00009006133,0.00005841499,0.000061187966,0.00060577807,0.00003024735,0.00011019439,0.000017999248],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9925875,0.0027406183,0.0014565826,0.000987922,0.0013750991,0.0008522907],"domain_scores_gemma":[0.98700833,0.00981127,0.0009338031,0.0016733545,0.00025743994,0.0003157864],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.017153306,0.00080170506,0.002423233,0.0008958127,0.00037760992,0.000526176,0.0022922507,0.00024500233,0.0043808543],"category_scores_gemma":[0.0007953292,0.0004861785,0.00043078404,0.005079321,0.00060958095,0.00084675447,0.0003172929,0.00074732176,0.000008065],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.044372335,0.0033359728,0.5206104,0.00306338,0.0007847755,0.000043011452,0.0017796082,0.000775519,0.010762286,0.000021048229,0.004236106,0.4102156],"study_design_scores_gemma":[0.019331582,0.0017304467,0.94623196,0.0033056121,0.00022123508,8.9974355e-7,0.0013792041,0.001631313,0.021271883,0.0029975558,0.00053872576,0.0013595639],"about_ca_topic_score_codex":0.00032729478,"about_ca_topic_score_gemma":0.00017860818,"teacher_disagreement_score":0.4256216,"about_ca_system_score_codex":0.0004486144,"about_ca_system_score_gemma":0.00009065939,"threshold_uncertainty_score":0.99975896},"labels":[],"label_agreement":null},{"id":"W7025089831","doi":"","title":"Trois-Rivières – Chemin de Dugommier","year":2022,"lang":"fr","type":"other","venue":"Industrias Culturais (Universidade de Coimbra)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Prospection; Terrain; Base (topology); Domain (mathematical analysis)","score_opus":0.027775862260198965,"score_gpt":0.2467675645055738,"score_spread":0.21899170224537484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025089831","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.031930458,0.0027868317,0.0013147698,0.015944308,0.001036026,0.0012577554,0.0008826483,0.00042176046,0.94442546],"genre_scores_gemma":[0.022132592,0.00022330857,0.0025427076,0.0006261864,0.0015464464,0.0000632464,0.00062978914,0.00044172228,0.971794],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9945514,0.0006282346,0.0007650136,0.0012206791,0.0011874628,0.0016472011],"domain_scores_gemma":[0.9957516,0.0007863825,0.0011371278,0.0013013317,0.00024070902,0.0007828167],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["research_integrity","insufficient_payload"],"category_scores_codex":[0.0009896866,0.001202854,0.0016730058,0.0012660172,0.0006940154,0.00038603938,0.0018905243,0.0025632305,0.3241649],"category_scores_gemma":[0.0017352643,0.0012331418,0.0012409744,0.004097415,0.00033298138,0.00035985088,0.0006950154,0.0035119064,0.0011059367],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007079092,0.000654859,0.0021732391,0.0002262092,0.0023051368,0.00073585944,0.003150685,0.00031280032,0.000704629,0.025990088,0.9533529,0.010322798],"study_design_scores_gemma":[0.0022031562,0.00017283327,0.009911796,0.00027295467,0.002342177,0.00022616237,0.0147079555,0.0006380156,0.0002710766,0.0007346243,0.9670067,0.001512566],"about_ca_topic_score_codex":0.0027434116,"about_ca_topic_score_gemma":0.0012266818,"teacher_disagreement_score":0.32305896,"about_ca_system_score_codex":0.0026659695,"about_ca_system_score_gemma":0.0006800646,"threshold_uncertainty_score":0.9996718},"labels":[],"label_agreement":null},{"id":"W7025104512","doi":"","title":"Transformative Social Innovations and Multi-Level Sustainability Transitions. Making frames converge…","year":2019,"lang":"en","type":"article","venue":"DIAL (Catholic University of Leuven)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Grassroots; Transformative learning; Normative; Sustainability; Degrowth; Perspective (graphical); Sociotechnical system; Social innovation","score_opus":0.04915829530053774,"score_gpt":0.28665844705796883,"score_spread":0.2375001517574311,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025104512","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9548581,0.000015874182,0.04328817,0.0007418543,0.000037189475,0.0002545187,0.00009377605,0.00002717685,0.00068332313],"genre_scores_gemma":[0.9942613,0.000006608119,0.00516763,0.000038928512,0.000018973666,4.4796272e-7,0.000021273096,0.0000073589413,0.00047744767],"study_design_codex":"qualitative","study_design_gemma":"observational","domain_scores_codex":[0.9992072,0.00007716566,0.00018643995,0.0001806062,0.00018011742,0.0001684467],"domain_scores_gemma":[0.9992551,0.00009995783,0.00013282808,0.00014024125,0.00033705885,0.000034799235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028390126,0.00011940999,0.0003161965,0.00024496147,0.00021632611,0.000017969802,0.00013206819,0.0001325822,0.00015250657],"category_scores_gemma":[0.00009299542,0.0001336834,0.00014631628,0.0006759165,0.00016830766,0.00023486548,0.0000343189,0.00018373731,0.000006866311],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00069159723,0.0025453651,0.025842907,0.0022109493,0.0012792818,0.00004025615,0.5108981,0.00014248322,0.0015728942,0.2463703,0.0012714065,0.20713443],"study_design_scores_gemma":[0.016837476,0.000815338,0.50440764,0.00026587196,0.0018243496,0.00003365694,0.3146364,0.012133355,0.0004392119,0.05726613,0.088678576,0.0026619975],"about_ca_topic_score_codex":0.00008642945,"about_ca_topic_score_gemma":0.000097835524,"teacher_disagreement_score":0.47856474,"about_ca_system_score_codex":0.00007532814,"about_ca_system_score_gemma":0.00009667899,"threshold_uncertainty_score":0.5451451},"labels":[],"label_agreement":null},{"id":"W7025214792","doi":"","title":"We Day with Rick Hansen","year":2017,"lang":"en","type":"other","venue":"Bulletin of Miscellaneous Information (Royal Gardens Kew)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Motion (physics); Subject (documents)","score_opus":0.011201086430206625,"score_gpt":0.20956985823442786,"score_spread":0.19836877180422124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025214792","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000008860674,0.000548303,0.000009739999,0.00017373505,0.0001588303,0.0003668931,0.00007501732,0.0001540451,0.9985046],"genre_scores_gemma":[0.00027524974,0.00043983018,0.004172542,0.00007288175,0.00022622236,0.000015098165,0.00008880159,0.00015876899,0.9945506],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99818426,0.000066439345,0.00052364485,0.00023808048,0.0006641053,0.00032346268],"domain_scores_gemma":[0.997277,0.00019052597,0.001311847,0.00091249216,0.00017993996,0.00012815314],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003547718,0.0004313466,0.0007569775,0.0001720454,0.00010792425,0.000114560666,0.000575493,0.00048568973,0.3625714],"category_scores_gemma":[0.00034305823,0.00033105238,0.00023813198,0.000014623099,0.00013594447,2.359609e-7,0.00008912758,0.00034459063,0.008315957],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027640193,0.000051424762,0.000002437349,0.00056154886,0.00026025926,0.000022604032,0.00014165754,0.000017244574,3.255718e-8,0.00012815544,0.9963607,0.0024262855],"study_design_scores_gemma":[0.0004747736,0.00011016706,0.0000031678023,0.00057137647,0.00028614132,0.000038830618,0.00009329685,0.000010370883,0.0000020346106,0.000090759524,0.99791867,0.00040043468],"about_ca_topic_score_codex":0.0017924046,"about_ca_topic_score_gemma":0.002623376,"teacher_disagreement_score":0.35425544,"about_ca_system_score_codex":0.000034273075,"about_ca_system_score_gemma":0.000039929393,"threshold_uncertainty_score":0.99991417},"labels":[],"label_agreement":null},{"id":"W7025364784","doi":"","title":"Vícefaktorové metody stanovení hodnoty podniku","year":2016,"lang":"cs","type":"article","venue":"Brno University of Technology Digital Library (Brno University of Technology)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Order (exchange); Quarter (Canadian coin)","score_opus":0.007028727050399264,"score_gpt":0.1700527155267134,"score_spread":0.16302398847631414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025364784","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91815823,0.0027701985,0.011210128,0.022396486,0.00034698757,0.0011124668,0.0059533096,0.0028662803,0.035185907],"genre_scores_gemma":[0.9419488,0.0019314766,0.018707816,0.000026630407,0.000035614623,1.4900891e-7,0.00009679695,0.000093436516,0.037159286],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99575174,0.00008510076,0.00080420106,0.0014514185,0.0007425365,0.001165022],"domain_scores_gemma":[0.9946061,0.0003481316,0.0017838598,0.0024392062,0.0005203341,0.00030239893],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022395917,0.00089507084,0.0021540294,0.006054106,0.00050335744,0.000055812463,0.004697258,0.0030948205,0.0022677341],"category_scores_gemma":[0.00048046635,0.0009464407,0.0011243299,0.0072143953,0.004890563,0.0031064744,0.003933105,0.0010255907,0.00042402104],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0018712728,0.005339593,0.16811816,0.0011049325,0.00764212,0.0021728883,0.00054560526,0.0000112560965,0.0065704,0.42273307,0.09073915,0.29315153],"study_design_scores_gemma":[0.008508462,0.0024927114,0.0042444263,0.0018602638,0.002713992,0.00015161742,0.03241788,0.00008145197,0.010906253,0.08330479,0.8506502,0.0026679658],"about_ca_topic_score_codex":0.00006517112,"about_ca_topic_score_gemma":0.00005317024,"teacher_disagreement_score":0.759911,"about_ca_system_score_codex":0.00028947668,"about_ca_system_score_gemma":0.0005343819,"threshold_uncertainty_score":0.99929863},"labels":[],"label_agreement":null},{"id":"W7028969176","doi":"","title":"The influence of prenatal maternal stress on postnatal immunity in offspring","year":2014,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Canadian Institutes of Health Research","keywords":"Immunity; Offspring; Immune system; Pregnancy; Animal studies; Etiology; Epidemiology; Conceptus","score_opus":0.013560497928549745,"score_gpt":0.2557694412848227,"score_spread":0.24220894335627297,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7028969176","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98495865,0.00015204494,1.132789e-7,0.0000047802114,0.00046771776,0.0004300668,0.00050481467,0.000060674658,0.013421163],"genre_scores_gemma":[0.99680656,0.00013137094,0.00015873315,0.000023955025,0.0000303488,0.000060683135,0.00023973131,0.000109985485,0.0024386214],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99553925,0.0004942309,0.0013971425,0.00066008256,0.00126797,0.0006413559],"domain_scores_gemma":[0.99559474,0.001231484,0.0012576801,0.0012700884,0.0004898806,0.00015614054],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0018826884,0.00066692877,0.0009776052,0.00067269715,0.00066428474,0.00011690838,0.0014626497,0.0006564423,0.000065666594],"category_scores_gemma":[0.003091157,0.0005210906,0.00043866158,0.0010126643,0.000074996744,0.00039545627,0.00020828786,0.0022150583,0.00006247421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0021548604,0.0019752271,0.0036883352,0.005588976,0.0021292476,0.0002901608,0.00015591623,0.0027088623,0.018000888,0.79631317,0.000013128352,0.16698125],"study_design_scores_gemma":[0.0049350886,0.0010718296,0.33358598,0.012213901,0.0014310576,0.000077522025,0.0028736636,0.00030265463,0.48885325,0.14089224,0.009207427,0.00455538],"about_ca_topic_score_codex":0.000993822,"about_ca_topic_score_gemma":0.004484187,"teacher_disagreement_score":0.6554209,"about_ca_system_score_codex":0.00028747204,"about_ca_system_score_gemma":0.000042572934,"threshold_uncertainty_score":0.9997241},"labels":[],"label_agreement":null},{"id":"W7028982848","doi":"","title":"How Alberta became a leader in COVID-19 testing","year":2020,"lang":"en","type":"other","venue":"Internet Archive (Internet Archive)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Public health; MEDLINE; Government (linguistics); Medical practice; Closing (real estate)","score_opus":0.05428572734529909,"score_gpt":0.2859461444745274,"score_spread":0.2316604171292283,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7028982848","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00026716042,0.00072015915,0.058715705,0.00281024,0.00047907542,0.0012521887,0.00037249032,0.00046555942,0.93491745],"genre_scores_gemma":[0.017937282,0.00007031866,0.018716576,0.0016193772,0.0009598817,0.00015108939,0.00051602366,0.0009277997,0.9591017],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9946978,0.000585434,0.0010470502,0.0017548634,0.0008136531,0.0011011615],"domain_scores_gemma":[0.99349236,0.0035748405,0.0010082541,0.0010356811,0.000038122496,0.0008507326],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00035237547,0.001248298,0.0018987121,0.001994186,0.00003407068,0.0004916732,0.0019281285,0.00040542698,0.009235995],"category_scores_gemma":[0.0065220078,0.0011154246,0.00078426424,0.0009833982,0.00038658222,0.00014868361,0.0011380838,0.001900963,0.0010967971],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010158405,0.00024077427,0.0015617905,0.0007476525,0.0007500529,0.00042852605,0.0050210776,0.0000063763864,0.000060230373,0.007863835,0.9825763,0.0006418022],"study_design_scores_gemma":[0.0012837056,0.00026800978,0.00011568415,0.0017849325,0.00028454792,0.0000846983,0.0004884878,0.004576059,0.00001962579,0.016338427,0.9735687,0.0011871393],"about_ca_topic_score_codex":0.048403263,"about_ca_topic_score_gemma":0.19830379,"teacher_disagreement_score":0.14990053,"about_ca_system_score_codex":0.00015343649,"about_ca_system_score_gemma":0.00025094135,"threshold_uncertainty_score":0.99968094},"labels":[],"label_agreement":null},{"id":"W7030030815","doi":"","title":"Mean Surface and Volume Particle Tensors under Restricted L-isotropy and Associated Ellipsoids","year":2023,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Ellipsoid; Surface (topology); Particle (ecology); Volume (thermodynamics); Feature (linguistics)","score_opus":0.04282493345277259,"score_gpt":0.28090845254360575,"score_spread":0.23808351909083314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7030030815","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99702394,0.00013498864,0.00057740393,0.0009848168,0.000029403122,0.00011242527,0.0000055802666,0.00028288344,0.000848582],"genre_scores_gemma":[0.97181547,0.00015172371,0.0010542708,0.00006547809,0.000019101532,0.0000026352568,0.000010319645,0.00002179677,0.026859205],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9987667,0.00008891348,0.00026195167,0.00027419685,0.0002827394,0.00032549418],"domain_scores_gemma":[0.999099,0.0003597788,0.00008154987,0.00021827461,0.00010448566,0.00013691437],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040501024,0.00014709966,0.0002918209,0.0001083269,0.00013610099,0.00009077484,0.000075705124,0.00012088754,0.00017737539],"category_scores_gemma":[0.00054790644,0.00011549375,0.000055014723,0.0019169089,0.000053632783,0.0000972895,0.000082257335,0.00013351526,0.00009562785],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007417893,0.00071453134,0.5479012,0.00014939072,0.0016837897,0.000082752005,0.003286206,0.0021471432,0.005698784,0.13276307,0.30220285,0.0032961152],"study_design_scores_gemma":[0.0025672193,0.00029982987,0.6955527,0.000043109965,0.00068910205,0.000010581272,0.0076249735,0.21732436,0.00050887757,0.06923566,0.00517395,0.0009696024],"about_ca_topic_score_codex":0.000104671184,"about_ca_topic_score_gemma":0.00011825685,"teacher_disagreement_score":0.2970289,"about_ca_system_score_codex":0.000024521281,"about_ca_system_score_gemma":0.000014746036,"threshold_uncertainty_score":0.47096983},"labels":[],"label_agreement":null},{"id":"W7042392367","doi":"","title":"The optimal transport problem and its application to dissipative partial differential equations","year":2015,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McGill University","keywords":"Dissipative system; Partial differential equation; Regular polygon; Balanced flow; Flow (mathematics); Convection–diffusion equation; Numerical analysis; Energy transport","score_opus":0.029333658991272122,"score_gpt":0.291855620792902,"score_spread":0.2625219618016299,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7042392367","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97898835,0.0004146642,0.00026260482,0.00007373099,0.0005136346,0.0025680454,0.0010561299,0.00020941679,0.015913432],"genre_scores_gemma":[0.98823744,0.000077176686,0.0006998639,0.000029154506,0.00010679857,0.0010514319,0.0013048924,0.0001351025,0.00835812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99585646,0.00025647346,0.0010784375,0.0009789363,0.001199494,0.00063016964],"domain_scores_gemma":[0.996688,0.0005573862,0.0006913095,0.00066541624,0.0008971417,0.0005007563],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0010918243,0.00069003506,0.0008065892,0.00034713617,0.001500568,0.00013950822,0.00061381265,0.00060206983,0.000097160824],"category_scores_gemma":[0.0011964999,0.0005324813,0.00033000903,0.001147981,0.00003964875,0.00039064515,0.000082139326,0.0010200687,0.00011862346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00049686723,0.00061612466,0.000016891601,0.0003802858,0.0009843039,0.000010206394,0.000272853,0.00017830414,0.0070173237,0.838735,0.00006562671,0.15122622],"study_design_scores_gemma":[0.0063437154,0.0017173894,0.004614045,0.0013649294,0.011174452,0.000033315304,0.0077869925,0.008757971,0.036922477,0.6729807,0.23997429,0.008329666],"about_ca_topic_score_codex":0.00007012403,"about_ca_topic_score_gemma":0.001739484,"teacher_disagreement_score":0.23990867,"about_ca_system_score_codex":0.0002754755,"about_ca_system_score_gemma":0.000075580385,"threshold_uncertainty_score":0.9997994},"labels":[],"label_agreement":null},{"id":"W7043010517","doi":"","title":"The right to say no marital rape and law reform in Canada, Ghana, Kenya and Malawi","year":2017,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Law reform; Legislation; Government (linguistics); Sexual violence","score_opus":0.012577604352413797,"score_gpt":0.24346792265379735,"score_spread":0.23089031830138357,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7043010517","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48187473,0.00025833433,0.000054966924,0.006003857,0.00015397291,0.00023704043,0.000009910558,0.000010862688,0.51139635],"genre_scores_gemma":[0.9807104,0.000028728773,0.0010214972,0.0004103901,0.000042893178,0.000006839812,0.0000010271167,0.000008045397,0.01777019],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99919355,0.000016141881,0.00019338756,0.00017450431,0.0001969268,0.0002255002],"domain_scores_gemma":[0.9991569,0.000149013,0.00007155825,0.00045807904,0.00005163924,0.00011281681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037402892,0.00011050787,0.00021090056,0.00004199576,0.0003923008,0.00020446506,0.00022041472,0.00004551658,0.00015292483],"category_scores_gemma":[0.00018620263,0.000059954287,0.000026033504,0.00009383268,0.000049589835,0.00010417972,0.00015900971,0.000108268956,0.000009491234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059343944,0.00007201197,0.04675985,0.00008055773,0.0002167699,0.000080232785,0.00033879606,6.7499207e-7,0.000035511177,0.8767998,0.059583303,0.015973123],"study_design_scores_gemma":[0.001892121,0.00018915175,0.33121738,0.000101695376,0.0002067673,0.000041141353,0.003256818,0.0022996557,0.00034466476,0.052898787,0.6064631,0.0010887387],"about_ca_topic_score_codex":0.72521937,"about_ca_topic_score_gemma":0.99181974,"teacher_disagreement_score":0.82390106,"about_ca_system_score_codex":0.00011740903,"about_ca_system_score_gemma":0.0000635066,"threshold_uncertainty_score":0.30173004},"labels":[],"label_agreement":null},{"id":"W7067584249","doi":"","title":"Mean curvature flow for Lagrangian submanifolds with convex potentials","year":2008,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McGill University","keywords":"Symplectic geometry; Lagrangian; Mean curvature flow; Differential geometry; Regular polygon; Curvature; Flow (mathematics); Geometry and topology; Class (philosophy)","score_opus":0.022955608498216803,"score_gpt":0.2548959763267858,"score_spread":0.23194036782856897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7067584249","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9000681,0.003624256,0.00005331338,0.000085840846,0.002977765,0.0049889185,0.0056896857,0.001087695,0.08142443],"genre_scores_gemma":[0.9074839,0.0008065888,0.021008361,0.00042335468,0.0004069043,0.0006501563,0.0075474284,0.0008775613,0.06079576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99330187,0.00030961176,0.0015106288,0.0017618947,0.0018011258,0.0013148887],"domain_scores_gemma":[0.99411803,0.00069864065,0.0014695243,0.0015261923,0.0016320549,0.00055558217],"candidate_categories":["metaepi_narrow","sts","research_integrity"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0013124864,0.0015431083,0.0023132153,0.0010792102,0.0016469003,0.00020949251,0.0011512662,0.0020406446,0.00057614833],"category_scores_gemma":[0.0012563855,0.0013127251,0.0014067176,0.0020812093,0.00008186903,0.0007038076,0.00008452451,0.0019538736,0.00016632085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0030906962,0.0029479763,0.00010166032,0.0067675295,0.012560671,0.00080050377,0.00031987668,0.00015235848,0.014441247,0.82789433,0.0034245856,0.1274986],"study_design_scores_gemma":[0.010548981,0.0018484533,0.001159618,0.0027240722,0.013917247,0.0004185074,0.0033922342,0.00051067927,0.04279465,0.23020864,0.68296814,0.0095087625],"about_ca_topic_score_codex":0.00014225143,"about_ca_topic_score_gemma":0.004454181,"teacher_disagreement_score":0.67954355,"about_ca_system_score_codex":0.00039962513,"about_ca_system_score_gemma":0.00012500322,"threshold_uncertainty_score":0.9997317},"labels":[],"label_agreement":null},{"id":"W7070593508","doi":"","title":"ON A QUARTER SYMMETRIC NON-METRIC CONNECTIONIN AN LORENTZIAN PARA-SASAKIAN MANIFOLDS","year":2011,"lang":"en","type":"article","venue":"DergiPark (Istanbul University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Manifold (fluid mechanics); Metric connection; Sequence (biology); Quarter (Canadian coin); Topology (electrical circuits)","score_opus":0.042312385360713495,"score_gpt":0.23857682164770105,"score_spread":0.19626443628698756,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7070593508","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71765924,0.0000604048,0.035463862,0.00007281794,0.00037395794,0.00041279718,0.000025066582,0.00027700604,0.24565485],"genre_scores_gemma":[0.9897485,0.000024543318,0.002861248,0.00009770186,0.00007855273,0.0000022926515,0.00002383388,0.000040343217,0.0071230102],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9977301,0.00018120123,0.00035700278,0.0006701319,0.0005095162,0.0005520618],"domain_scores_gemma":[0.99792993,0.00034833068,0.00029231224,0.0008427241,0.00022773736,0.00035894546],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003773422,0.00037700596,0.0005184925,0.0037145934,0.00035101382,0.00008717447,0.0006171874,0.00025862528,0.0015613547],"category_scores_gemma":[0.00023691001,0.0003780323,0.00032589477,0.007988056,0.0000765484,0.0004454464,0.00007543092,0.0003532085,0.00032080978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000642811,0.0034206598,0.007147192,0.00014592828,0.0010331918,0.0012651412,0.0044915834,0.000040387058,0.00007100211,0.9561225,0.023173861,0.0024457467],"study_design_scores_gemma":[0.025868583,0.01490685,0.28912282,0.00068199687,0.008112491,0.00037684254,0.10350366,0.015888598,0.0026920936,0.25229266,0.27449784,0.012055569],"about_ca_topic_score_codex":0.0002865882,"about_ca_topic_score_gemma":0.00039161288,"teacher_disagreement_score":0.7038298,"about_ca_system_score_codex":0.0002627064,"about_ca_system_score_gemma":0.00006381459,"threshold_uncertainty_score":0.99986714},"labels":[],"label_agreement":null},{"id":"W7098026583","doi":"","title":"Hölder continuity of optimal multivalued mappings. Preprint at www.math.toronto/mccann. 33","year":2010,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Preprint; Probability measure; Measure (data warehouse); Euclidean geometry; Euclidean distance; Absolute continuity; Probability distribution","score_opus":0.02151660848530146,"score_gpt":0.2907370177187894,"score_spread":0.26922040923348795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7098026583","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91761297,0.00004850433,0.009432504,0.00009476499,0.00021943319,0.00034739327,0.0000114601835,0.000103110186,0.072129875],"genre_scores_gemma":[0.91873,0.000005298285,0.054602955,0.000038211383,0.0000905566,0.000020239077,0.0000059480103,0.000022415057,0.026484339],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99816775,0.000046100315,0.0005888448,0.00039280587,0.00047761775,0.00032686768],"domain_scores_gemma":[0.9981798,0.0002190647,0.0003310487,0.00080374733,0.00032236904,0.00014395312],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008377166,0.0002365052,0.00057703845,0.000078145385,0.000081297294,0.000036043846,0.00035066775,0.00022017107,0.00705364],"category_scores_gemma":[0.0008813984,0.00017457941,0.00033059318,0.00025024035,0.00009040428,0.00015290818,0.00030354582,0.00026813065,0.00015782798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021478556,0.0025916002,0.033913825,0.00052806793,0.0015430099,0.000017044773,0.006912652,0.000099059835,0.19031788,0.6921798,0.060803305,0.0108789755],"study_design_scores_gemma":[0.012481658,0.0007521426,0.24629024,0.0003183688,0.0022061586,0.0001180814,0.0103677865,0.10858627,0.12461519,0.044620648,0.44491926,0.0047241882],"about_ca_topic_score_codex":0.00057643396,"about_ca_topic_score_gemma":0.0021347299,"teacher_disagreement_score":0.6475591,"about_ca_system_score_codex":0.00007297941,"about_ca_system_score_gemma":0.00003629756,"threshold_uncertainty_score":0.99385405},"labels":[],"label_agreement":null},{"id":"W7099459065","doi":"","title":"Robust Automated Test Assembly.............................................................................. 4","year":2013,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Discretion; Government (linguistics); Agency (philosophy); Accreditation; Test (biology); Work (physics)","score_opus":0.04867635820897958,"score_gpt":0.27615443018899266,"score_spread":0.22747807198001307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099459065","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37871873,0.004067698,0.046689186,0.011845596,0.012340297,0.025466524,0.0010137944,0.10037558,0.41948262],"genre_scores_gemma":[0.8097823,0.0011261724,0.12226179,0.008257229,0.005290936,0.014305582,0.0010246384,0.0042774808,0.03367387],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9342063,0.0037405782,0.015708022,0.015117352,0.012736864,0.018490862],"domain_scores_gemma":[0.9373456,0.020253837,0.006777586,0.015868397,0.008258475,0.01149611],"candidate_categories":["metaresearch","metaepi_narrow","bibliometrics","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","bibliometrics","sts","scholarly_communication","research_integrity","insufficient_payload"],"category_scores_codex":[0.0092728995,0.013342833,0.011887396,0.011402289,0.00690647,0.008463298,0.015353237,0.005835445,0.032648988],"category_scores_gemma":[0.01799951,0.013006693,0.008163199,0.021985775,0.0058887983,0.022783406,0.00497218,0.009764305,0.031016598],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005208254,0.008521735,0.031431556,0.0010217965,0.0030500146,0.0012442002,0.0009838757,0.0011925622,0.02127844,0.14405783,0.7507196,0.035977554],"study_design_scores_gemma":[0.045552827,0.007687202,0.054511953,0.0024229225,0.0052004666,0.01352146,0.014976649,0.117302924,0.021667602,0.43598416,0.22737975,0.053792063],"about_ca_topic_score_codex":0.0035367433,"about_ca_topic_score_gemma":0.00047907283,"teacher_disagreement_score":0.52333987,"about_ca_system_score_codex":0.0064742016,"about_ca_system_score_gemma":0.0035392656,"threshold_uncertainty_score":0.99980265},"labels":[],"label_agreement":null},{"id":"W7099559022","doi":"","title":"IT Process Conformance Measurement: A Sarbanes-","year":2013,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Conformance checking; Process (computing); Conformance testing; Audit; Software; Work in process","score_opus":0.06669983406319192,"score_gpt":0.2939238388443554,"score_spread":0.2272240047811635,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099559022","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18500005,0.00035678918,0.023479238,0.0036290449,0.0001729257,0.0009137463,0.0000013977809,0.00031425979,0.7861326],"genre_scores_gemma":[0.99133354,0.000005830502,0.0014422468,0.0006813084,0.000047616537,0.000050170718,0.0000011342528,0.000009985673,0.0064281817],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99887323,0.0000112345915,0.0002442571,0.00013751422,0.0005284633,0.00020532603],"domain_scores_gemma":[0.99913335,0.000037527123,0.00008372443,0.0002363361,0.00044068645,0.000068398054],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00032715118,0.0001114349,0.00019246484,0.000098204626,0.000052696807,0.0000744107,0.00017046696,0.000052650972,0.0047574257],"category_scores_gemma":[0.0002819423,0.00007457156,0.00007418434,0.0005393236,0.000016033426,0.00023941477,0.00001770895,0.00008418561,0.0009161756],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000112626685,0.000564515,0.0051874714,0.0006010508,0.00051614083,0.0000042019356,0.0022905825,0.000021995533,0.00059937296,0.05961338,0.91012084,0.020469172],"study_design_scores_gemma":[0.0046352767,0.00047261425,0.019043325,0.00044404675,0.0009481852,0.00006311522,0.0110290535,0.031345025,0.011700906,0.45487475,0.46205258,0.0033911418],"about_ca_topic_score_codex":0.000030256988,"about_ca_topic_score_gemma":0.00003396318,"teacher_disagreement_score":0.8063335,"about_ca_system_score_codex":0.000020861844,"about_ca_system_score_gemma":0.000027535636,"threshold_uncertainty_score":0.9998617},"labels":[],"label_agreement":null},{"id":"W7115560530","doi":"10.1515/crelle-2025-0090","title":"Existence of closed embedded curves of constant curvature via min-max","year":2025,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Constant curvature; Gaussian curvature; Constant (computer programming); Curvature; Geodesic; Metric (unit); Torsion of a curve","score_opus":0.025627840142955813,"score_gpt":0.34337701250359903,"score_spread":0.3177491723606432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7115560530","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32295048,0.43187854,0.17070603,0.0072189877,0.002391499,0.0016688431,0.00015225548,0.00015913424,0.06287423],"genre_scores_gemma":[0.82048506,0.07324654,0.090068065,0.0006671906,0.0009337707,0.000017971226,0.000019392266,0.00019060465,0.01437143],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9942883,0.00037642222,0.002948072,0.0003590604,0.0013919402,0.0006361896],"domain_scores_gemma":[0.99228895,0.0013693861,0.0035394004,0.00074885006,0.0017127787,0.00034064168],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0031228617,0.0005990461,0.002120066,0.0012314268,0.0003913405,0.00017296623,0.0010130147,0.00032272513,0.00054595334],"category_scores_gemma":[0.0027165764,0.00041718694,0.0013001193,0.0018756175,0.00028262465,0.00039839162,0.00018783812,0.0014867951,0.000008152892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0023065808,0.011239094,0.003892989,0.034167424,0.033926032,0.0026885606,0.012638828,0.00038308252,0.10424639,0.29663625,0.43253338,0.06534135],"study_design_scores_gemma":[0.00583365,0.0009902787,0.00031625203,0.024857165,0.0066308207,0.0028348172,0.0049520424,0.0011015371,0.0436769,0.8736217,0.033746306,0.0014385025],"about_ca_topic_score_codex":0.000008148844,"about_ca_topic_score_gemma":0.000020493859,"teacher_disagreement_score":0.5769855,"about_ca_system_score_codex":0.00013701954,"about_ca_system_score_gemma":0.00038669704,"threshold_uncertainty_score":0.999828},"labels":[],"label_agreement":null},{"id":"W7117321694","doi":"10.4208/jms.v58n4.25.06","title":"On a Flow Reducing Volume Within Hamiltonian Isotopy Class","year":2025,"lang":"en","type":"article","venue":"Journal of Mathematical Study","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Isotopy; Class (philosophy); Flow (mathematics); Hamiltonian (control theory); Hamiltonian system","score_opus":0.026315019871110176,"score_gpt":0.3145540672781885,"score_spread":0.28823904740707834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7117321694","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9227754,0.00012472189,0.059476547,0.0016698082,0.0005030174,0.00061879714,0.0000027207714,0.000044026896,0.014784993],"genre_scores_gemma":[0.9658865,0.000003674024,0.028609792,0.00020402971,0.0001287321,0.000010529689,2.9463223e-7,0.000024628123,0.005131833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99697936,0.00020256205,0.0014063847,0.00022189497,0.0009099138,0.0002799183],"domain_scores_gemma":[0.99746096,0.00097056356,0.0006327959,0.00046913186,0.0003208588,0.00014566524],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002816456,0.0002512065,0.00095699594,0.0005195628,0.00014875762,0.00013414757,0.00045780602,0.00011673971,0.0005235365],"category_scores_gemma":[0.004588903,0.00016552431,0.00039143467,0.0010738004,0.000043348136,0.0001167219,0.00009199729,0.00066249614,0.000081451515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011209248,0.047230233,0.008284315,0.0014381655,0.008827775,0.0008542915,0.022385532,0.003124859,0.00040341707,0.53589016,0.3437261,0.026714237],"study_design_scores_gemma":[0.0040054144,0.0027198996,0.0030283167,0.0012240869,0.00194524,0.00010698605,0.007581579,0.026019115,0.00019025554,0.94935673,0.0032653527,0.000557043],"about_ca_topic_score_codex":0.0000031020172,"about_ca_topic_score_gemma":0.0000060794805,"teacher_disagreement_score":0.41346657,"about_ca_system_score_codex":0.00012627536,"about_ca_system_score_gemma":0.00009232515,"threshold_uncertainty_score":0.67498857},"labels":[],"label_agreement":null},{"id":"W7117678650","doi":"10.58517/itmsc.2025.18204","title":"Hypersurfaces of a Riemannian Manifold with a Certain Connection","year":2025,"lang":"","type":"article","venue":"International Transactions in Mathematical Sciences and Computer","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Hypersurface; Riemannian manifold; Manifold (fluid mechanics); Quarter (Canadian coin); Fundamental theorem of Riemannian geometry; Levi-Civita connection; Metric connection; Pseudo-Riemannian manifold","score_opus":0.022127108312390467,"score_gpt":0.2939479876307657,"score_spread":0.27182087931837523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7117678650","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13853222,0.00020484987,0.84455794,0.0021996617,0.00036187706,0.0002863384,0.000011144369,0.000017332763,0.013828647],"genre_scores_gemma":[0.9567047,0.00011207508,0.041724507,0.00009297609,0.000036071404,0.000018870178,9.418392e-7,0.000006785529,0.0013031136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9979163,0.00007758509,0.00072678213,0.00044872653,0.00057794934,0.00025267783],"domain_scores_gemma":[0.99861294,0.0007855191,0.00018989753,0.00017208731,0.00017733731,0.00006220319],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00079456915,0.00023015657,0.00048565073,0.0007201326,0.00018100346,0.00021859782,0.00038441282,0.00012772689,0.0011428808],"category_scores_gemma":[0.00004560489,0.00016900085,0.00013828202,0.0016753467,0.00040939005,0.00029642848,0.00003262929,0.00024141869,0.0000064801325],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016494708,0.0025606398,0.0032705432,0.0009217131,0.001009237,0.000017434199,0.0029135742,0.011211219,0.000052064635,0.9302914,0.00015028684,0.047436956],"study_design_scores_gemma":[0.0013763022,0.0004575994,0.002953879,0.0016751759,0.00032300953,0.00005396029,0.003801461,0.84967023,0.00015084515,0.13796782,0.0012030175,0.0003666781],"about_ca_topic_score_codex":0.000081665465,"about_ca_topic_score_gemma":0.00015695168,"teacher_disagreement_score":0.838459,"about_ca_system_score_codex":0.0000582632,"about_ca_system_score_gemma":0.000089169866,"threshold_uncertainty_score":0.9997702},"labels":[],"label_agreement":null},{"id":"W7128140751","doi":"","title":"Quarter - symmetric metric connection on a Sasakian manifold","year":2000,"lang":"","type":"article","venue":"DergiPark (Istanbul University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Metric connection; Metric (unit); Connection (principal bundle); Manifold (fluid mechanics); Topology (electrical circuits); Quarter (Canadian coin)","score_opus":0.01398804200760636,"score_gpt":0.21004177971915935,"score_spread":0.196053737711553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7128140751","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3242104,0.0011098605,0.0037373407,0.0007999899,0.0008122737,0.00092471973,0.0001151015,0.0003172727,0.66797304],"genre_scores_gemma":[0.86840236,0.0010854941,0.00053306477,0.000267779,0.0002909172,0.00000197101,0.000046470148,0.00008141376,0.1292905],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9944939,0.0006020732,0.00091048866,0.0014523983,0.0013142906,0.0012268417],"domain_scores_gemma":[0.99567485,0.0012165491,0.0005876973,0.0014965765,0.00039721746,0.0006271083],"candidate_categories":["metaepi_narrow","bibliometrics","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007475145,0.0009362046,0.0012943306,0.007377528,0.0009050763,0.0004016172,0.001006161,0.00075398805,0.0246903],"category_scores_gemma":[0.00040766172,0.0010329997,0.0010897423,0.025102852,0.00012934902,0.0006728356,0.000105094034,0.0010284678,0.0036617948],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0028617952,0.008381985,0.0014783306,0.0009297988,0.0062940964,0.0042102626,0.004135889,0.0021178208,0.00007520315,0.7046815,0.18510726,0.07972601],"study_design_scores_gemma":[0.004434818,0.00152426,0.002849412,0.0002500803,0.003242741,0.00007111762,0.009636059,0.005025667,0.00010951089,0.0031619153,0.9678863,0.0018080923],"about_ca_topic_score_codex":0.00025913122,"about_ca_topic_score_gemma":0.00020147818,"teacher_disagreement_score":0.78277904,"about_ca_system_score_codex":0.0011200242,"about_ca_system_score_gemma":0.00018685234,"threshold_uncertainty_score":0.999212},"labels":[],"label_agreement":null},{"id":"W7132867989","doi":"","title":"Geodesic Envelopes in Teichmuller Space Equipped with the Thurston Metric","year":2022,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Geodesic; Metric (unit); Bounded function; Conjecture; Metric space; Space (punctuation); Teichmüller space","score_opus":0.024210274769098553,"score_gpt":0.33307330158889475,"score_spread":0.3088630268197962,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7132867989","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8691806,0.024827702,0.0032955175,0.0077646915,0.0012777426,0.0042002,0.000028886006,0.00019288718,0.08923176],"genre_scores_gemma":[0.7528332,0.0011796108,0.0015090492,0.00022573677,0.00019841267,0.00048825887,0.00039398563,0.00024894052,0.24292283],"study_design_codex":"qualitative","study_design_gemma":"qualitative","domain_scores_codex":[0.9927706,0.00083283446,0.0010774051,0.0014121868,0.0025834881,0.0013234847],"domain_scores_gemma":[0.9937873,0.0021440976,0.0016417752,0.0017831405,0.000416612,0.00022709639],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0027311165,0.0013142107,0.0019283794,0.0028432652,0.00087360066,0.0004055682,0.0015842592,0.0006340371,0.015905676],"category_scores_gemma":[0.0011307218,0.00087170536,0.00061175425,0.01674393,0.00014890335,0.00022223612,0.00029580778,0.002859945,0.00027496222],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.006195,0.009355132,0.012885255,0.0077087963,0.014281309,0.0013216095,0.6090809,0.030896574,0.0016585682,0.07806681,0.1768583,0.051691722],"study_design_scores_gemma":[0.005626624,0.0017083817,0.024049772,0.0010306297,0.0075792107,0.00006266319,0.61566263,0.0057788347,0.0009045117,0.0021706773,0.33022535,0.0052007325],"about_ca_topic_score_codex":0.0019810002,"about_ca_topic_score_gemma":0.0050369557,"teacher_disagreement_score":0.15369107,"about_ca_system_score_codex":0.0006030283,"about_ca_system_score_gemma":0.0007044507,"threshold_uncertainty_score":0.99996096},"labels":[],"label_agreement":null},{"id":"W7132936686","doi":"","title":"Lattice Point Counts in Teichmuller Space and Negative Curvature","year":2023,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Ball (mathematics); Bounded function; Curvature; Teichmüller space; Manifold (fluid mechanics); Lattice (music); Covering space; Homeomorphism (graph theory); Differential geometry","score_opus":0.02973977262120327,"score_gpt":0.35247988972831107,"score_spread":0.3227401171071078,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7132936686","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6408906,0.016155582,0.0005478898,0.00549121,0.004416763,0.0030514677,0.00009436001,0.00038453098,0.3289676],"genre_scores_gemma":[0.33008778,0.003577161,0.003487417,0.00022670923,0.0004724018,0.00008345831,0.00037395948,0.00027694117,0.66141415],"study_design_codex":"not_applicable","study_design_gemma":"qualitative","domain_scores_codex":[0.9973136,0.00015805937,0.00057604635,0.00073894084,0.0006782598,0.0005350649],"domain_scores_gemma":[0.99743026,0.0010027288,0.0005376367,0.00053266523,0.0003290483,0.00016766605],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00072439347,0.0006124803,0.0010161485,0.0007796828,0.0001344194,0.00017575569,0.00025412656,0.00088534044,0.0022181468],"category_scores_gemma":[0.0018626956,0.0005738351,0.000211124,0.002838378,0.00006564522,0.00012790905,0.00008902353,0.0013036004,0.0014666195],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007902448,0.0017173426,0.005592083,0.0086093005,0.0045546894,0.0006544792,0.3734019,0.00021167775,0.00046945622,0.10973461,0.47737464,0.016889563],"study_design_scores_gemma":[0.007799478,0.00073757616,0.09344938,0.0088122655,0.007255035,0.00005122458,0.52616715,0.018372351,0.0008602024,0.11483039,0.21371168,0.007953297],"about_ca_topic_score_codex":0.00047725375,"about_ca_topic_score_gemma":0.0010890707,"teacher_disagreement_score":0.33244655,"about_ca_system_score_codex":0.00012222404,"about_ca_system_score_gemma":0.00015319051,"threshold_uncertainty_score":0.9996713},"labels":[],"label_agreement":null},{"id":"W7133010832","doi":"","title":"Existence of Static Vacuum Extensions for Near-Schwarzschild Spheres: A New Approach to the Bartnik Extension Problem","year":2025,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Geodesic; Extension (predicate logic); Uniqueness; Mean curvature; Metric (unit); Curvature; Solving the geodesic equations; Boundary (topology); Boundary value problem","score_opus":0.06809579241574444,"score_gpt":0.363793480298762,"score_spread":0.2956976878830176,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133010832","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0945558,0.010812125,0.81812906,0.006489283,0.0019707647,0.022248,0.00028193995,0.00025111338,0.04526191],"genre_scores_gemma":[0.047794476,0.00043110803,0.61718416,0.0008257508,0.0003911173,0.00086598896,0.0009970064,0.0002459576,0.33126444],"study_design_codex":"not_applicable","study_design_gemma":"qualitative","domain_scores_codex":[0.9937739,0.00032480576,0.0019283745,0.0016059292,0.001359845,0.0010071725],"domain_scores_gemma":[0.9914504,0.0020244624,0.0015562839,0.0025240656,0.0019584468,0.00048632664],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014275305,0.0010972512,0.0022122236,0.0005219779,0.00089847436,0.00035495058,0.0013716138,0.0007224652,0.0005960332],"category_scores_gemma":[0.0038397396,0.00078940595,0.0012146416,0.004765668,0.00009210708,0.00015213442,0.0002630112,0.0009801578,0.00011961449],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0023621554,0.005146897,0.0000502898,0.020617982,0.0044433973,0.000012102093,0.14203595,0.01351575,0.0020167986,0.12955925,0.6239045,0.056334883],"study_design_scores_gemma":[0.0063630524,0.0022733954,0.0014344741,0.015275681,0.021940282,0.000046853023,0.44145128,0.22143292,0.0016837612,0.09511469,0.18790711,0.0050764857],"about_ca_topic_score_codex":0.00089790643,"about_ca_topic_score_gemma":0.00090315455,"teacher_disagreement_score":0.43599743,"about_ca_system_score_codex":0.00011480805,"about_ca_system_score_gemma":0.0017303037,"threshold_uncertainty_score":0.9994557},"labels":[],"label_agreement":null},{"id":"W7133026566","doi":"","title":"A Geometric Framework for Conservation Laws Along Null Hypersurfaces and their Relation to Huygens Principle","year":2023,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Conservation law; Null (SQL); Huygens–Fresnel principle; Operator (biology); Differential operator; Relation (database); Work (physics)","score_opus":0.06021642886669786,"score_gpt":0.3690116859646524,"score_spread":0.3087952570979545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133026566","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8807024,0.0018695402,0.11123546,0.0015101597,0.0010727015,0.002862653,0.000088023466,0.00019730948,0.0004617879],"genre_scores_gemma":[0.8848501,0.0010179849,0.06752731,0.00034103857,0.00054726296,0.00064267346,0.0017540462,0.00037243043,0.04294719],"study_design_codex":"qualitative","study_design_gemma":"qualitative","domain_scores_codex":[0.99574643,0.0001669435,0.0012644043,0.0012495508,0.00074962183,0.00082305685],"domain_scores_gemma":[0.99123365,0.005244833,0.001267841,0.00083528605,0.0010565296,0.0003618739],"candidate_categories":["metaresearch","metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.001855155,0.0009110719,0.0014786904,0.0021636782,0.00070765504,0.0004471215,0.00040248834,0.0013904378,0.00021709963],"category_scores_gemma":[0.011285779,0.00083970005,0.0005106136,0.008192746,0.000052319083,0.00023300394,0.00012523391,0.00080120476,0.00023824794],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0037266791,0.0029395027,0.04080312,0.021524673,0.012739805,0.000042257034,0.51059306,0.008876782,0.007766957,0.263042,0.049213927,0.07873124],"study_design_scores_gemma":[0.005278446,0.0030905232,0.24729465,0.0063225413,0.008260989,0.000025947531,0.38715577,0.072466075,0.005947674,0.14050505,0.115550466,0.008101857],"about_ca_topic_score_codex":0.00045115847,"about_ca_topic_score_gemma":0.0009872396,"teacher_disagreement_score":0.20649154,"about_ca_system_score_codex":0.00020509501,"about_ca_system_score_gemma":0.0002194382,"threshold_uncertainty_score":0.99990594},"labels":[],"label_agreement":null},{"id":"W7133077081","doi":"","title":"On Density and Equidistribution of Stationary Geodesic Nets","year":2025,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Equidistributed sequence; Geodesic; Riemannian manifold; Manifold (fluid mechanics); Distribution (mathematics); Sequence (biology); Stationary distribution","score_opus":0.028111927682170565,"score_gpt":0.34736603737465016,"score_spread":0.3192541096924796,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133077081","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9737804,0.0018893508,0.017146917,0.0002483868,0.00037515585,0.0005349403,0.000073367504,0.00002713409,0.005924341],"genre_scores_gemma":[0.974602,0.00061928557,0.0008992808,0.0000530586,0.000039826566,0.000016203914,0.0020128952,0.000023986137,0.021733457],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99746364,0.00017195333,0.0007582264,0.00058096956,0.00070250203,0.00032269655],"domain_scores_gemma":[0.9965902,0.0010686321,0.0009411025,0.00053036504,0.00075567147,0.00011401919],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00059446035,0.00046649802,0.00096558867,0.00057913945,0.00021493305,0.000060106213,0.00018501727,0.0005561428,0.00047489503],"category_scores_gemma":[0.0015467004,0.0004665655,0.0002711695,0.0013297758,0.00005682221,0.000084890264,0.000061022583,0.00047154195,0.000023544133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003740486,0.0048377183,0.0027971112,0.019446589,0.005851676,0.000085593485,0.03764606,0.0019422703,0.008875775,0.76257837,0.06567341,0.08652493],"study_design_scores_gemma":[0.011203553,0.0051203184,0.17889254,0.015478558,0.024643406,0.000039051247,0.11539913,0.08387865,0.0706854,0.47463062,0.0122709125,0.0077578425],"about_ca_topic_score_codex":0.00020503522,"about_ca_topic_score_gemma":0.00012354362,"teacher_disagreement_score":0.28794774,"about_ca_system_score_codex":0.00012558003,"about_ca_system_score_gemma":0.00025464004,"threshold_uncertainty_score":0.9997786},"labels":[],"label_agreement":null},{"id":"W7140840194","doi":"10.5802/jolt.1174","title":"The Smoothness of Convolutions of Singular Orbital Measures on Complex Grassmannians","year":2021,"lang":"en","type":"article","venue":"Journal of Lie theory","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Sultan Qaboos University; Acadia University","keywords":"Smoothness; Convolution (computer science); Symplectic geometry; Algebra over a field; Action (physics)","score_opus":0.06583886316132977,"score_gpt":0.31227185783264216,"score_spread":0.2464329946713124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7140840194","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96162033,0.0035975073,0.026437823,0.00071783573,0.00029916607,0.00008429507,0.0000125678025,0.000007775727,0.007222698],"genre_scores_gemma":[0.99803615,0.000064506676,0.000991555,0.000030789008,0.00009929961,5.3642816e-7,6.222844e-7,0.000011507059,0.0007650473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981564,0.0003452856,0.00072332885,0.00007108162,0.00055600284,0.00014785178],"domain_scores_gemma":[0.9962913,0.0015365514,0.0008493874,0.0002965869,0.0009733104,0.000052909454],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002213045,0.00010180935,0.00046113683,0.00015965731,0.00012004431,0.000022551352,0.0002671737,0.0000585852,0.000119139964],"category_scores_gemma":[0.0023220328,0.00006122709,0.0004008126,0.00053207646,0.00016775017,0.000055434968,0.000039196897,0.00023440545,0.0000022230488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018018969,0.0007045249,0.0005250798,0.00008420494,0.0010102559,0.000068090805,0.00087292504,0.00011008036,0.008165298,0.98039293,0.0051860865,0.00270033],"study_design_scores_gemma":[0.001123991,0.00045697825,0.006996236,0.00030452732,0.0010460138,0.00021068602,0.010423911,0.00008205857,0.01522317,0.95251507,0.0113975005,0.00021983674],"about_ca_topic_score_codex":0.0000024305393,"about_ca_topic_score_gemma":0.0000072902567,"teacher_disagreement_score":0.036415804,"about_ca_system_score_codex":0.00002707876,"about_ca_system_score_gemma":0.00012564892,"threshold_uncertainty_score":0.27798578},"labels":[],"label_agreement":null},{"id":"W7156787543","doi":"10.17654/0973563114015","title":"PLANE AND SPACE CURVES SATISFYING SERRET-FRENET FORMULAS AND A DIFFERENTIAL EQUATION","year":2014,"lang":"","type":"article","venue":"Far East Journal of Mathematical Education","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Differential geometry of curves; Torsion of a curve; Differential equation; First-order partial differential equation; Exact differential equation; Universal differential equation; Curvature; Plane curve; Homogeneous differential equation","score_opus":0.02736966812523649,"score_gpt":0.2813802877498102,"score_spread":0.2540106196245737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7156787543","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6618812,0.0093732895,0.32124907,0.005066553,0.00084700255,0.00050831493,0.000009880234,0.000016283295,0.0010483953],"genre_scores_gemma":[0.9752199,0.0016566128,0.02164354,0.00016268258,0.00073738355,0.0000074368654,0.000014443178,0.00004210289,0.00051590713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99656546,0.00032396184,0.0015305092,0.00030290737,0.0009155912,0.00036159376],"domain_scores_gemma":[0.99601066,0.0009504578,0.0016982757,0.0003531768,0.00054529635,0.0004421325],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0018839482,0.0004100253,0.0010762617,0.00050258276,0.00020109462,0.00032981046,0.00023301045,0.00024751108,0.0006873286],"category_scores_gemma":[0.004479079,0.00032735534,0.0002108954,0.00046046972,0.00013058707,0.0005130031,0.000106132364,0.000544614,0.000025574434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004071444,0.0063841133,0.005705577,0.029320084,0.0022491922,0.000007082821,0.023772437,0.000062062434,0.0019395346,0.5316448,0.018926922,0.379581],"study_design_scores_gemma":[0.0054652733,0.0023756037,0.031914018,0.02238387,0.0095925545,0.0021082838,0.0125481365,0.12357605,0.00044754668,0.7794205,0.007984357,0.0021838027],"about_ca_topic_score_codex":0.000007667176,"about_ca_topic_score_gemma":0.0000068533604,"teacher_disagreement_score":0.3773972,"about_ca_system_score_codex":0.00007414065,"about_ca_system_score_gemma":0.00023116419,"threshold_uncertainty_score":0.99991786},"labels":[],"label_agreement":null},{"id":"W774369265","doi":"10.71781/15314","title":"Propriétés géométriques des surfaces associées aux solutions des modèles sigma grassmanniens en deux dimensions","year":2014,"lang":"fr","type":"dissertation","venue":"Papyrus : Institutional Repository (Université de Montréal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Physics; Humanities; Philosophy","score_opus":0.020537475074124928,"score_gpt":0.2255420456295128,"score_spread":0.20500457055538787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W774369265","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92971593,0.047841374,0.008064599,0.00030857135,0.00096781447,0.0007317085,0.00016273533,0.00030390947,0.011903367],"genre_scores_gemma":[0.91306245,0.0036743802,0.012136155,0.000043596232,0.0002760821,0.00006777819,0.00070367754,0.00009733819,0.06993856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99431133,0.0007899977,0.0010813357,0.0011440389,0.0014118458,0.001261432],"domain_scores_gemma":[0.99439496,0.0012155805,0.0010666173,0.00084829907,0.0017885303,0.00068598555],"candidate_categories":["metaepi_narrow","sts","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0010633116,0.0010695735,0.0013168646,0.000989253,0.019643662,0.0002851773,0.0008833506,0.0013372516,0.00015684118],"category_scores_gemma":[0.0015211587,0.0010957717,0.0011917,0.0016052008,0.0012064574,0.000869756,0.00041543363,0.0010658165,0.00013845964],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011066771,0.0049234247,0.1684792,0.003946195,0.011036797,0.0025085502,0.22686552,0.065958366,0.051139627,0.43917137,0.008040395,0.016823875],"study_design_scores_gemma":[0.005095308,0.0013511388,0.34361914,0.0056152744,0.017137337,0.0017567243,0.33153862,0.07827862,0.020440534,0.094586596,0.09348222,0.007098478],"about_ca_topic_score_codex":0.032278888,"about_ca_topic_score_gemma":0.057980806,"teacher_disagreement_score":0.3445848,"about_ca_system_score_codex":0.0069723907,"about_ca_system_score_gemma":0.0022045067,"threshold_uncertainty_score":0.99995923},"labels":[],"label_agreement":null},{"id":"W798955533","doi":"10.4171/owr/2012/36","title":"Calculus of Variations","year":2013,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Calculus (dental); Curvature; Differential calculus; Field (mathematics); Differential geometry of curves; Mathematics; Vector calculus; Geometry; Pure mathematics; Differential equation; Mathematical analysis; Ordinary differential equation","score_opus":0.02687688536051533,"score_gpt":0.2738061176099577,"score_spread":0.24692923224944238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W798955533","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75995666,0.00029747194,0.09606808,0.00056440686,0.0005021161,0.00066638127,0.000005311101,0.00014701967,0.14179255],"genre_scores_gemma":[0.9861569,0.0000031307238,0.007537781,0.000028263168,0.00004815605,0.00003128043,0.000008640598,0.000012477296,0.006173366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987244,0.000027831717,0.00058264384,0.00018371221,0.00031620162,0.00016518764],"domain_scores_gemma":[0.99863416,0.00011473893,0.00039901654,0.0005203051,0.0002563369,0.000075452954],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00034494017,0.000100735764,0.0002723514,0.00013361525,0.00004829054,0.000027675198,0.00007338217,0.00008062161,0.0023705834],"category_scores_gemma":[0.0008040164,0.00007908704,0.00015524178,0.0005816939,0.000022815972,0.00012573507,0.000037927453,0.00008912851,0.000055294775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005821002,0.0022385793,0.07193996,0.00039381874,0.0013312096,0.00033649858,0.0016441328,0.0001527428,0.008369714,0.4854839,0.3825408,0.045562796],"study_design_scores_gemma":[0.0008327981,0.00022702923,0.22518353,0.00012916201,0.0012674665,0.0008561431,0.0008477098,0.008644037,0.006541169,0.66087556,0.0931393,0.001456104],"about_ca_topic_score_codex":0.000348062,"about_ca_topic_score_gemma":0.000018751523,"teacher_disagreement_score":0.2894015,"about_ca_system_score_codex":0.000018663348,"about_ca_system_score_gemma":0.00003414408,"threshold_uncertainty_score":0.9985414},"labels":[],"label_agreement":null},{"id":"W915002722","doi":"10.48550/arxiv.1505.02806","title":"Non-compactness and infinite number of conformal initial data sets in high dimensions","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Compact space; Conformal map; Mathematics; Dimension (graph theory); Riemannian manifold; Pure mathematics; Manifold (fluid mechanics); Construct (python library); Set (abstract data type); Mathematical analysis; Computer science","score_opus":0.18212770628771108,"score_gpt":0.2798065879963608,"score_spread":0.09767888170864975,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W915002722","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99286467,0.000026526744,0.0023242785,0.000015538431,0.00017130582,0.00021149505,0.00025655312,0.000024071962,0.004105547],"genre_scores_gemma":[0.99865323,0.000075371405,0.00062532484,0.000018423607,0.000037269467,3.494032e-7,0.00030173393,0.00001836877,0.0002699285],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985599,0.00008174702,0.00038356284,0.0005730838,0.00014204702,0.00025969069],"domain_scores_gemma":[0.9976345,0.00025704937,0.00040964276,0.00128182,0.00025217998,0.00016484622],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00060403196,0.00028130334,0.00075956155,0.00042609553,0.00004499316,0.000033625645,0.0007338376,0.00036148712,0.00013627867],"category_scores_gemma":[0.00022145374,0.00028383138,0.00009202675,0.00084503466,0.00013678816,0.00030678467,0.0022762585,0.00060323026,0.000021860338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010334795,0.0028807556,0.56675065,0.0028329499,0.003243398,0.0018844897,0.0048685325,0.059665512,0.00003168412,0.33655414,0.018992053,0.0012623671],"study_design_scores_gemma":[0.009034498,0.00017273673,0.06193502,0.0012400233,0.0032299904,0.00005126905,0.003909332,0.46339887,0.000084020765,0.45278493,0.001481773,0.0026775335],"about_ca_topic_score_codex":0.00082445913,"about_ca_topic_score_gemma":0.0003617406,"teacher_disagreement_score":0.50481564,"about_ca_system_score_codex":0.000058759888,"about_ca_system_score_gemma":0.00020860054,"threshold_uncertainty_score":0.9999614},"labels":[],"label_agreement":null},{"id":"W949427182","doi":"10.1007/978-0-387-69469-6_7","title":"Hypersurfaces, Submanifolds, and Extrinsic Curvature","year":2007,"lang":"en","type":"book-chapter","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; Simon Fraser University","funders":"","keywords":"Curvature; Pure mathematics; Mathematics; Geometry","score_opus":0.09093811747172958,"score_gpt":0.29628494336895295,"score_spread":0.20534682589722336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W949427182","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00025043424,0.009873883,0.0007746812,0.000113901166,0.00019431612,0.00025599945,0.00001839253,0.00014134085,0.98837703],"genre_scores_gemma":[0.0026371176,0.0011645182,0.00906572,0.00026682302,0.00033204615,0.00000209978,0.000040506806,0.00010672628,0.98638445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9979858,0.000010214103,0.0005065904,0.0005655471,0.0005928437,0.0003390376],"domain_scores_gemma":[0.9984295,0.00031273076,0.00029282947,0.0006083229,0.00016885555,0.00018780862],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004888221,0.0005423164,0.0008403573,0.0004815655,0.00009338265,0.00009179626,0.00022983078,0.00096557854,0.0036144184],"category_scores_gemma":[0.00009991061,0.00042232033,0.00029350357,0.00015478636,0.00007610942,0.00008372319,0.00013153521,0.000748328,0.00019823456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009123231,0.000023455077,0.000047833953,0.00011532413,0.0003756555,0.00005169604,0.000038225575,1.4518858e-7,0.0000034653374,0.9302142,0.05675492,0.012365903],"study_design_scores_gemma":[0.00023658236,0.000039650513,0.000045718763,0.000079646314,0.0005874903,0.00003522517,0.000039575276,0.00001182707,0.0000072816442,0.14055857,0.8578047,0.0005537376],"about_ca_topic_score_codex":0.000017389992,"about_ca_topic_score_gemma":0.0002152405,"teacher_disagreement_score":0.80104977,"about_ca_system_score_codex":0.00004751386,"about_ca_system_score_gemma":0.0000375558,"threshold_uncertainty_score":0.99982285},"labels":[],"label_agreement":null}]}