{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":78,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":78,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"query_hash":"d60c9c02ae49","filters":{"venue":"Communications on Pure and Applied Mathematics"}},"results":[{"id":"W2119883478","doi":"10.1002/cpa.20303","title":"Iteratively reweighted least squares minimization for sparse recovery","year":2009,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":1319,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Army Research Office; Office of Naval Research; European Commission; Goddard Space Flight Center; York University; Princeton University; Deutscher Akademischer Austauschdienst; National Science Foundation","keywords":"Mathematics; Restricted isometry property; Combinatorics; Hyperplane; Iteratively reweighted least squares; Limit point; Norm (philosophy); Sequence (biology); Limit (mathematics); Matrix (chemical analysis); Weight; Algorithm; Element (criminal law); Compressed sensing; Discrete mathematics; Applied mathematics; Non-linear least squares; Mathematical analysis; Pure mathematics; Lie algebra; Estimation theory","retraction":null,"screen_n_in":null,"score":{"opus":0.03427797395926509,"gpt":0.2604920053561653,"spread":0.2262140313969002,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00005931901,0.0001275325,0.0001581954,0.00007538575,0.0001469093,0.00006302472,0.0002295463,0.00007138465,0.000003209738],"category_scores_gemma":[0.00001826274,0.0001215183,0.00003086148,0.00009971722,0.00003551873,0.00005156094,0.00002791338,0.00009934573,0.000005295932],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001553208,"about_ca_system_score_gemma":0.000005518226,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.336279e-7,"about_ca_topic_score_gemma":0.000001343475,"domain_scores_codex":[0.9995291,0.000007619528,0.0002018334,0.00009638553,0.00005866304,0.0001063657],"domain_scores_gemma":[0.9990156,0.0001596331,0.00005125589,0.0006962506,0.00004613029,0.00003118732],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004655243,0.0005329163,0.000002775749,0.0001322285,0.00009789452,5.768906e-7,0.00244167,0.003667379,0.02599893,0.7925877,0.04440653,0.1300848],"study_design_scores_gemma":[0.00112559,0.0003985193,0.0001778445,0.0006642333,0.000162903,0.00001636139,0.0008427805,0.3366609,0.08153596,0.5257154,0.05168048,0.001019033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05227771,0.002005025,0.7998753,0.002563172,0.000118452,0.002525912,0.0000931137,0.002438376,0.138103],"genre_scores_gemma":[0.7485808,0.0005304066,0.2504586,0.0001915568,0.00002543401,0.00006974892,0.00006341486,0.00002158612,0.00005844877],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6963031,"threshold_uncertainty_score":0.4955373,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2082936169","doi":"10.1002/cpa.20154","title":"Asymptotic speeds of spread and traveling waves for monotone semiflows with applications","year":2006,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":733,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Monotone polygon; Mathematics; Traveling wave; Mathematical analysis; Reaction–diffusion system; Lattice (music); Population model; Differential equation; Population; Geometry; Physics; Demography","retraction":null,"screen_n_in":null,"score":{"opus":0.02874017032219958,"gpt":0.2876252392961997,"spread":0.2588850689740001,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000293784,0.0001258711,0.0004098898,0.00004253823,0.000156202,0.000006438703,0.000118882,0.0001184495,0.00001032478],"category_scores_gemma":[0.00004397098,0.00008773417,0.00003639917,0.00007696832,0.0005279749,0.00001487847,0.00005490302,0.0001418012,0.000003382949],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005833615,"about_ca_system_score_gemma":0.00001557494,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001168585,"about_ca_topic_score_gemma":0.000003323588,"domain_scores_codex":[0.9992909,0.00001197068,0.0003548801,0.0001471531,0.00005679127,0.0001382441],"domain_scores_gemma":[0.9979767,0.001191203,0.0001160119,0.0006002392,0.0000523028,0.00006360479],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004435638,0.0004609219,0.00005742954,0.0004320857,0.00004570275,8.747709e-8,0.0001261425,0.00001790228,0.0008067568,0.996588,0.0000400677,0.001380532],"study_design_scores_gemma":[0.001140701,0.00026594,0.0003492395,0.0002050264,0.0003839449,0.0000367467,0.000336813,0.02605385,0.002108013,0.9682759,0.0006794724,0.0001643497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1683182,0.0007286923,0.7573677,0.00424929,0.000006670467,0.002540401,0.00003442911,0.0000778823,0.06667677],"genre_scores_gemma":[0.8205492,0.0001553575,0.1785954,0.0001517953,0.0000174356,0.0003318659,0.00003234218,0.00001344236,0.0001530718],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6522311,"threshold_uncertainty_score":0.3577695,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2145121432","doi":"10.1002/cpa.20098","title":"Hamiltonian long‐wave expansions for free surfaces and interfaces","year":2005,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Ocean Waves and Remote Sensing","field":"Earth and Planetary Sciences","cited_by":263,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Korteweg–de Vries equation; Scaling; Hamiltonian (control theory); Free surface; Nonlinear system; Mathematics; Perturbation (astronomy); Boundary value problem; Hamiltonian system; Mathematical analysis; Amplitude; Classical mechanics; Mechanics; Physics; Geometry; Mathematical optimization; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.03726634596777639,"gpt":0.2482204525960308,"spread":0.2109541066282544,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001568904,0.0001185765,0.0001582629,0.00004733257,0.0004165113,0.00009336867,0.0002604576,0.00006109882,0.00002443053],"category_scores_gemma":[0.00002777861,0.00009069601,0.00002231491,0.0000646287,0.0001831004,0.00006060684,0.00006986795,0.0001179249,0.00001470145],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000232463,"about_ca_system_score_gemma":0.00001108756,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008697869,"about_ca_topic_score_gemma":0.0006097613,"domain_scores_codex":[0.9994344,0.00001142444,0.0001886718,0.00014017,0.00007755366,0.0001477742],"domain_scores_gemma":[0.9986616,0.0004564097,0.00007374028,0.0007102515,0.00002196756,0.00007599821],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00004836927,0.0003565408,0.0005048597,0.0003803127,0.0001403241,0.000001132157,0.0105051,0.001711004,0.0009212704,0.06555277,0.005185413,0.9146929],"study_design_scores_gemma":[0.002488289,0.0004785269,0.02065557,0.0005975476,0.0002920155,0.0001198359,0.01429613,0.7640346,0.003699,0.1336045,0.05827483,0.001459159],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9572414,0.003064855,0.001290816,0.006103716,0.00005156735,0.000660754,0.0001281226,0.00008292997,0.03137589],"genre_scores_gemma":[0.8252221,0.0008459489,0.1734466,0.0001914929,0.00003039575,2.713929e-7,0.00003895054,0.000005753457,0.0002184022],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9132338,"threshold_uncertainty_score":0.3698476,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1767939975","doi":"10.1002/cpa.20029","title":"Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup>","year":2004,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":246,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Nonlinear system; Type (biology); Scattering; Nonlinear Schrödinger equation; Argument (complex analysis); Mathematical physics; Mathematical analysis; Schrödinger equation; Pure mathematics; Physics; Quantum mechanics; Chemistry","retraction":null,"screen_n_in":null,"score":{"opus":0.1180695213181774,"gpt":0.3450000186502644,"spread":0.2269304973320871,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003524021,0.0002427815,0.0004123909,0.0000671685,0.0003585007,0.00004573707,0.0004331452,0.0001059242,0.000002384318],"category_scores_gemma":[0.000319175,0.0002247918,0.00006984114,0.0002273284,0.0003216043,0.0001078299,0.0002979967,0.000171571,0.000008354978],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008034598,"about_ca_system_score_gemma":0.00003806943,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001267516,"about_ca_topic_score_gemma":0.000003131601,"domain_scores_codex":[0.9986873,0.00001575501,0.0005606961,0.0002582153,0.0002190877,0.0002590019],"domain_scores_gemma":[0.9970849,0.001102115,0.0003093776,0.00130797,0.0001111302,0.00008455577],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001303296,0.0007900164,8.320532e-7,0.0005957659,0.00003445972,9.440227e-8,0.001069833,0.0009058172,0.0003838931,0.9945017,0.00004011791,0.00166442],"study_design_scores_gemma":[0.000733033,0.0001329499,0.000002324396,0.0004766434,0.00008689163,0.000006866526,0.000578514,0.01499487,0.0007001426,0.9820049,0.00007529787,0.0002075895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1050188,0.0003013966,0.866234,0.00291461,0.00002740737,0.003144365,0.0002089322,0.0002719859,0.02187848],"genre_scores_gemma":[0.4053992,0.00005626287,0.5941415,0.00007783242,0.00001876501,0.0002416411,0.00001695828,0.00002960053,0.00001814955],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3003804,"threshold_uncertainty_score":0.9166744,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963171244","doi":"10.1002/cpa.21445","title":"Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I","year":2013,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":158,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Breather; Mathematics; Conjecture; Mathematical physics; Scaling; Catastrophe theory; Mathematical analysis; Amplitude; Plane (geometry); Nonlinear system; Physics; Quantum mechanics; Geometry; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.06502768997129241,"gpt":0.3004256899151562,"spread":0.2353979999438638,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006460561,0.0001840969,0.0002352576,0.0000349041,0.000927795,0.00006141068,0.0005920443,0.00005965477,0.00001052107],"category_scores_gemma":[0.0003276027,0.00009914846,0.00007787965,0.0001818104,0.0004617317,0.00009029196,0.0005074822,0.0001868218,0.000007155674],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008195212,"about_ca_system_score_gemma":0.00003074265,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001008389,"about_ca_topic_score_gemma":0.00005123841,"domain_scores_codex":[0.9989021,0.00006110674,0.0004246176,0.0001775092,0.0002423119,0.0001922854],"domain_scores_gemma":[0.9949359,0.00312315,0.0003002398,0.001436942,0.0001496015,0.00005421471],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001743082,0.0002849408,0.000003110028,0.0001741325,0.00006258698,8.698698e-9,0.002790972,0.0002238613,0.008100507,0.9835789,0.001033151,0.003730394],"study_design_scores_gemma":[0.0005200112,0.00006974965,0.00004963058,0.0001567647,0.0001940936,0.000004456601,0.002814168,0.03204265,0.003535946,0.9598324,0.0005927472,0.0001873999],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1773016,0.0004354485,0.7681642,0.04372674,0.00006482458,0.008004664,0.000157833,0.00009425505,0.002050409],"genre_scores_gemma":[0.7228221,0.00006963989,0.27596,0.0002695216,0.00004286576,0.000605541,0.0000233001,0.00004379582,0.0001632505],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5455204,"threshold_uncertainty_score":0.7135943,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2091052151","doi":"10.1002/cpa.20050","title":"Spectra of positive and negative energies in the linearized NLS problem","year":2004,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":145,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Eigenvalues and eigenvectors; Invertible matrix; Mathematics; Spectrum (functional analysis); Mathematical analysis; Energy (signal processing); Negative energy; Energy spectrum; Essential spectrum; Mathematical physics; Quantum mechanics; Pure mathematics; Physics; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.0411271589107814,"gpt":0.3130878497302471,"spread":0.2719606908194657,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004596796,0.0002097095,0.0004214668,0.00008160317,0.0001568863,0.0000396865,0.000543802,0.00007845813,0.000002786297],"category_scores_gemma":[0.0001810279,0.0001471243,0.00004290253,0.0002883434,0.0004533991,0.00007953666,0.0002407788,0.0003446684,0.000003956245],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002858551,"about_ca_system_score_gemma":0.00003014221,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004715202,"about_ca_topic_score_gemma":0.00002027512,"domain_scores_codex":[0.9988627,0.0000463298,0.0005144707,0.0001802908,0.000214142,0.0001821015],"domain_scores_gemma":[0.9959068,0.002580379,0.0002812502,0.001129997,0.00006122487,0.00004035742],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000953718,0.0006941325,8.213744e-7,0.0002370391,0.00002654584,3.834489e-7,0.01104685,0.00005968154,0.002230965,0.9849579,0.00002144517,0.0007146863],"study_design_scores_gemma":[0.000748004,0.00007123758,0.00001463357,0.0002655424,0.00005016918,0.000007646265,0.003396435,0.0001923999,0.007417038,0.9876608,0.00002646319,0.0001496649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4916835,0.001314923,0.1903395,0.01589522,0.00003830972,0.009727292,0.0001429114,0.0003836083,0.2904747],"genre_scores_gemma":[0.5720799,0.0002027828,0.4274215,0.00009622306,0.000007533676,0.0001492486,0.000004675134,0.00002139005,0.00001675311],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.290458,"threshold_uncertainty_score":0.5999554,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2109720664","doi":"10.1002/cpa.20189","title":"Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity","year":2007,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":116,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Compact space; Bounded function; Bifurcation; Unit sphere; Mathematical analysis; Bifurcation diagram; Nonlinear system; Domain (mathematical analysis); Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.04232084013560917,"gpt":0.2831996683959147,"spread":0.2408788282603055,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007383403,0.000124968,0.000204272,0.00004401923,0.0004015388,0.00006960343,0.0006706734,0.00004486538,2.772402e-7],"category_scores_gemma":[0.00003342096,0.00008830857,0.00001735642,0.0002037017,0.0001875641,0.0001334747,0.0002293562,0.0001541566,3.467434e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001484904,"about_ca_system_score_gemma":0.00002522015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002379829,"about_ca_topic_score_gemma":0.00001911873,"domain_scores_codex":[0.9991947,0.000008960303,0.0002834949,0.0001556638,0.0001259219,0.0002312528],"domain_scores_gemma":[0.9975675,0.0008265919,0.0001200657,0.001321871,0.00009746457,0.00006653744],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000004472967,0.0002483327,0.000002903704,0.0002677613,0.00001548734,5.111365e-8,0.001249906,0.006733284,0.001848516,0.9875014,0.000006593308,0.002121305],"study_design_scores_gemma":[0.0003989451,0.00009979366,0.00001805392,0.0002117929,0.00004451166,0.00001855345,0.0004292529,0.7687196,0.002253915,0.2272001,0.00040469,0.0002007275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01059752,0.0002349676,0.9864181,0.0002526175,0.000005535914,0.0005454282,0.000004580929,0.00007039229,0.001870856],"genre_scores_gemma":[0.4604152,0.00002245455,0.5394804,0.00002050056,0.000004372031,0.00003558003,0.000003136655,0.000009263689,0.000009072123],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.7619863,"threshold_uncertainty_score":0.3601119,"prediction_status":"machine_predicted_unvalidated"},"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,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"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","retraction":null,"screen_n_in":null,"score":{"opus":0.06115048994928707,"gpt":0.3124671787122701,"spread":0.2513166887629831,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008018881,0.0002443296,0.000571396,0.0001399234,0.0004680777,0.00006616349,0.0007258795,0.0001902637,0.00002454492],"category_scores_gemma":[0.001289224,0.000209134,0.0001614288,0.0007076709,0.0002323363,0.0000661769,0.0002329375,0.0001901199,0.00001211304],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002946645,"about_ca_system_score_gemma":0.00003894747,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002130668,"about_ca_topic_score_gemma":0.00001538765,"domain_scores_codex":[0.9985893,0.00003917041,0.0006218521,0.0002294856,0.0002491312,0.0002710113],"domain_scores_gemma":[0.9942528,0.003215502,0.0003775879,0.001807322,0.0002490591,0.00009775797],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005263303,0.000537262,0.00002365314,0.0002135195,0.0001374176,1.748908e-8,0.0004250677,0.0002181935,0.00004753322,0.9905625,0.005337067,0.002492515],"study_design_scores_gemma":[0.0006157189,0.0000784389,0.00003269026,0.0001032311,0.0006129414,0.000002905166,0.001025662,0.09883805,0.000089945,0.8906335,0.007693668,0.0002731977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004774591,0.0009445949,0.9603311,0.002081847,0.00003142998,0.001121927,0.0002318293,0.000160106,0.03032262],"genre_scores_gemma":[0.6879734,0.00006160144,0.311329,0.0001412652,0.00003507717,0.0002192193,0.000109293,0.0000243112,0.0001068705],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6831988,"threshold_uncertainty_score":0.8528236,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2139798444","doi":"10.1002/cpa.10104","title":"Purely nonlinear instability of standing waves with minimal energy","year":2003,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":109,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Instability; Eigenvalues and eigenvectors; Mathematics; Nonlinear system; Algebraic number; Hamiltonian (control theory); Standing wave; Hamiltonian system; Nonlinear Schrödinger equation; Degeneracy (biology); Essential spectrum; Energy spectrum; Classical mechanics; Mathematical analysis; Schrödinger equation; Mathematical physics; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.05584029091365605,"gpt":0.3042600667458343,"spread":0.2484197758321783,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004317245,0.0002709755,0.0005394905,0.00008183217,0.0002042832,0.00002972914,0.0004965012,0.000100282,0.00001955928],"category_scores_gemma":[0.0002761285,0.0002109869,0.0000598046,0.0002943073,0.0004505039,0.00008644477,0.00017456,0.0002554677,0.000004145868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003782382,"about_ca_system_score_gemma":0.00005465919,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.301407e-7,"about_ca_topic_score_gemma":0.000008428126,"domain_scores_codex":[0.998539,0.00004805698,0.0006201621,0.0002471881,0.0003016843,0.0002439038],"domain_scores_gemma":[0.9957021,0.001682646,0.0003913856,0.002003037,0.0001207394,0.0001000757],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001557703,0.0009976879,0.000005673739,0.0003992976,0.00004971565,2.321889e-7,0.0008223339,0.000008782928,0.001514394,0.995325,0.00006351864,0.0007978066],"study_design_scores_gemma":[0.0005093447,0.000117138,0.000002363431,0.0001693648,0.00008257219,0.00000773427,0.001218505,0.0005083336,0.01374354,0.9820693,0.001321657,0.0002501081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1630099,0.0005205775,0.4593722,0.0006602941,0.00003758432,0.001821384,0.0000980119,0.0003651849,0.3741148],"genre_scores_gemma":[0.4945044,0.00006896233,0.5052034,0.00003185914,0.000005632873,0.00007531634,0.000006054193,0.0000384643,0.0000659009],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3740489,"threshold_uncertainty_score":0.8603795,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2040648700","doi":"10.1002/cpa.20159","title":"On a micro‐macro model for polymeric fluids near equilibrium","year":2006,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":105,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"American Chemical Society Petroleum Research Fund; Chinese Academy of Sciences; National Natural Science Foundation of China; York University","keywords":"Uniqueness; Macro; Momentum (technical analysis); Statistical physics; Micro level; Macro level; Coupling (piping); Evolution equation; Classical mechanics; Mechanics; Mathematics; Physics; Thermodynamics; Mathematical analysis; Materials science; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.07398889322426841,"gpt":0.3308541789688412,"spread":0.2568652857445728,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003504791,0.0002836093,0.0003795052,0.0001249477,0.0005780792,0.000125695,0.0007190561,0.0001529842,0.00001648822],"category_scores_gemma":[0.0001401547,0.0002725502,0.0001211176,0.0002750185,0.0002626915,0.00006716721,0.0002236802,0.0002544516,0.00006712104],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006723547,"about_ca_system_score_gemma":0.00007652358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002109459,"about_ca_topic_score_gemma":0.000008906777,"domain_scores_codex":[0.998526,0.00002878029,0.0006128385,0.0002720865,0.00023617,0.0003240822],"domain_scores_gemma":[0.9957342,0.001601741,0.0002597302,0.002219875,0.0001008324,0.0000836383],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001547661,0.0008037448,9.334171e-7,0.0001227811,0.00002725994,8.667399e-8,0.0006550583,0.0003716173,0.007456763,0.9762866,0.0136085,0.0006511969],"study_design_scores_gemma":[0.0007086408,0.00005366062,0.000002513846,0.00007106578,0.0001076958,0.000004606217,0.0001530342,0.2250793,0.002171395,0.7690091,0.002342442,0.0002965484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.07958159,0.0007759589,0.834665,0.004714848,0.00008025136,0.003469868,0.0004216451,0.00064782,0.07564303],"genre_scores_gemma":[0.3899707,0.00004179297,0.6063368,0.0003897308,0.00004404936,0.0007123204,0.0001256842,0.00008945382,0.002289455],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3103891,"threshold_uncertainty_score":0.9999726,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2136408597","doi":"10.1002/cpa.20210","title":"Projection of diffusions on submanifolds: Application to mean force computation","year":2007,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Model Reduction and Neural Networks","field":"Physics and Astronomy","cited_by":103,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Centre de Recherches Mathématiques; University of Minnesota","keywords":"Submanifold; Mathematics; Ergodic theory; Context (archaeology); Stochastic differential equation; Projection (relational algebra); Computation; Distribution (mathematics); Applied mathematics; Mathematical analysis; Algorithm","retraction":null,"screen_n_in":null,"score":{"opus":0.02705972323688437,"gpt":0.2976590155134784,"spread":0.270599292276594,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001962808,0.0001132764,0.0001455127,0.0001073482,0.0002131366,0.00001840598,0.0001949234,0.00004086992,0.000008967139],"category_scores_gemma":[0.000003114824,0.0001030323,0.00003644158,0.000233222,0.00004499262,0.00002697166,0.000075287,0.0001414275,0.00001901152],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001506587,"about_ca_system_score_gemma":0.000008776584,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005978434,"about_ca_topic_score_gemma":0.000008357394,"domain_scores_codex":[0.9993085,0.0000113705,0.0002916549,0.0001471737,0.0001253017,0.0001159642],"domain_scores_gemma":[0.998959,0.0001715131,0.0001589775,0.0005876429,0.00005497374,0.00006788351],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002398756,0.0006118529,0.00003571587,0.00002422937,0.00001941885,1.608288e-8,0.001177187,0.001021214,0.007291584,0.8974489,0.0004072161,0.09193867],"study_design_scores_gemma":[0.003954887,0.001174576,0.003466539,0.0007507571,0.0004012276,0.00001028494,0.02232694,0.2732939,0.1180754,0.556976,0.01741581,0.002153756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2054316,0.00001322761,0.728256,0.0005354001,0.00003591815,0.001012593,0.00001198833,0.00006100402,0.06464228],"genre_scores_gemma":[0.9817708,0.00001166134,0.01776578,0.00009483132,0.00005089758,0.00009124068,0.00005676087,0.00001499881,0.0001430184],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7763392,"threshold_uncertainty_score":0.4201536,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2094718446","doi":"10.1002/cpa.20278","title":"Tensor products and correlation estimates with applications to nonlinear Schrödinger equations","year":2009,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":100,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Nonlinear system; Dimension (graph theory); Bilinear interpolation; Tensor (intrinsic definition); Conservation law; Diagonal; Sobolev space; Bilinear form; Commutator; Class (philosophy); Pure mathematics; Space (punctuation); Mathematical analysis; Algebra over a field; Quantum mechanics; Geometry; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.05735375285488685,"gpt":0.328548952972804,"spread":0.2711952001179171,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002653749,0.0002966761,0.0003879283,0.0001412692,0.0004959381,0.0001057287,0.0004186309,0.00008950351,0.000005168577],"category_scores_gemma":[0.0003624677,0.0002427371,0.00002490735,0.0005005692,0.0001903769,0.0001364852,0.0001648849,0.0003023193,0.00005350581],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003486545,"about_ca_system_score_gemma":0.00003350288,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.047684e-7,"about_ca_topic_score_gemma":0.000002336749,"domain_scores_codex":[0.9986441,0.00001526174,0.0004616751,0.0003662301,0.0002548074,0.0002579314],"domain_scores_gemma":[0.9962981,0.001372315,0.0002340453,0.001740032,0.0001955181,0.0001599549],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009850283,0.0006335636,0.000002914818,0.0001538394,0.00002403818,1.426988e-7,0.0008620686,0.0001064815,0.001770983,0.9886563,0.0002227672,0.007557034],"study_design_scores_gemma":[0.0003812605,0.0001620491,0.00002520919,0.0001954723,0.0001406099,0.00001143178,0.0004008233,0.008209686,0.001261364,0.9875206,0.00132236,0.0003691147],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.006755715,0.0001847636,0.9597657,0.008296981,0.00001105742,0.003643782,0.00002896434,0.0004370475,0.02087604],"genre_scores_gemma":[0.2017665,0.00004743303,0.7970968,0.0003147399,0.00003120275,0.0005209709,0.00003122213,0.00004413138,0.0001470391],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1950108,"threshold_uncertainty_score":0.9898533,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2026312458","doi":"10.1002/cpa.20091","title":"Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs","year":2005,"lang":"en","type":"preprint","venue":"Communications on Pure and Applied Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":87,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Characterization (materials science); Heat kernel; Gaussian; Kernel (algebra); Mathematics; Statistical physics; Combinatorics; Computer science; Materials science; Physics; Nanotechnology; Mathematical analysis; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.06599598363553125,"gpt":0.3128781166533093,"spread":0.246882133017778,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003988428,0.000513641,0.0008244121,0.0003369693,0.0002568197,0.0001049982,0.001279624,0.0003573761,0.00004309303],"category_scores_gemma":[0.00009487733,0.0004750532,0.0001655493,0.000249029,0.0002022919,0.00004450103,0.001028686,0.0008301684,0.00002817006],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000547379,"about_ca_system_score_gemma":0.00005433428,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001559914,"about_ca_topic_score_gemma":0.00001224211,"domain_scores_codex":[0.9979491,0.00005531533,0.0009336692,0.0004119503,0.0003772806,0.000272712],"domain_scores_gemma":[0.9950126,0.0006758195,0.0006535802,0.003429205,0.0001176141,0.0001111476],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003281621,0.002033512,0.00001292245,0.001408939,0.0001564606,3.218702e-7,0.001230704,0.00007633516,0.005081812,0.9849404,0.0002845996,0.004741151],"study_design_scores_gemma":[0.0007955882,0.0002796587,0.0006177695,0.002339629,0.0005552728,0.000009671744,0.0006000631,0.007863874,0.01721629,0.9676404,0.001068332,0.00101343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9464766,0.0004572822,0.01351533,0.001933808,0.0002026626,0.002809599,0.0005166483,0.0004006776,0.03368742],"genre_scores_gemma":[0.9211417,0.001158775,0.07641969,0.00006336675,0.00006154496,0.0003592008,0.0006147863,0.00008403762,0.00009692999],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06290436,"threshold_uncertainty_score":0.9997701,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2037470284","doi":"10.1002/(sici)1097-0312(200007)53:7<902::aid-cpa4>3.0.co;2-4","title":"Nonexistence of time‐periodic solutions of the Dirac equation in an axisymmetric black hole geometry","year":2000,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":72,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Dirac equation; Chandrasekhar limit; Rotational symmetry; Dirac (video compression format); Two-body Dirac equations; Mathematics; Geometry; Black hole (networking); Dirac spinor; Dirac algebra; Mathematical physics; Physics; Classical mechanics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.02734647120125916,"gpt":0.2575125682266392,"spread":0.23016609702538,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001784547,0.00009237647,0.0001896562,0.00005947231,0.0001195299,0.00001619503,0.0004811599,0.00003651646,0.0000994605],"category_scores_gemma":[0.000006383591,0.00007170739,0.00004949893,0.0005246212,0.0004052441,0.00004197131,0.0001225638,0.0001613418,0.00002727329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000772309,"about_ca_system_score_gemma":0.00002040828,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007769088,"about_ca_topic_score_gemma":0.000001686194,"domain_scores_codex":[0.9993415,0.00003236202,0.000298856,0.00009762354,0.0001171723,0.0001124883],"domain_scores_gemma":[0.9985365,0.0001922949,0.0001361682,0.001068654,0.00003524949,0.000031115],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003396406,0.0007169666,0.0001158469,0.00002436322,0.0000101732,5.585346e-9,0.000660618,0.0003953707,0.0004710732,0.9867717,0.00001496777,0.01081551],"study_design_scores_gemma":[0.000489689,0.00007008647,0.001472856,0.000140155,0.00006930871,1.337163e-7,0.001351661,0.02800957,0.002861954,0.9651697,0.00016786,0.0001970272],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8918569,0.00007589094,0.003742837,0.0002265466,0.000006429338,0.0003797179,0.00005839368,0.00001117349,0.1036421],"genre_scores_gemma":[0.9968129,0.00002704571,0.002997805,0.000018613,0.00001052925,0.00002052085,0.00002458939,0.000009894016,0.00007807057],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.104956,"threshold_uncertainty_score":0.2924142,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2110329595","doi":"10.1002/cpa.20233","title":"Convergence proof of the velocity field for a stokes flow immersed boundary method","year":2007,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Lattice Boltzmann Simulation Studies","field":"Engineering","cited_by":63,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Curvilinear coordinates; Immersed boundary method; Mathematics; Stokes flow; Convergence (economics); Mathematical analysis; Vector field; Boundary (topology); Domain (mathematical analysis); Cartesian coordinate system; Simple (philosophy); Flow (mathematics); Fluid–structure interaction; Applied mathematics; Geometry; Finite element method; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.03872043181617791,"gpt":0.3119208808994426,"spread":0.2732004490832647,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003617147,0.00008877583,0.0001550565,0.00002949964,0.0001942656,0.00001151512,0.0003155509,0.00005179776,0.000004387257],"category_scores_gemma":[0.00006506064,0.00006714423,0.00004004979,0.000119616,0.00008335523,0.00002467722,0.0001089384,0.0001143702,0.000001281316],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001369853,"about_ca_system_score_gemma":0.00001036244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.410063e-7,"about_ca_topic_score_gemma":0.00001068708,"domain_scores_codex":[0.9994926,0.000007865128,0.0002490188,0.00006371376,0.00008801592,0.00009874342],"domain_scores_gemma":[0.9980094,0.001110022,0.00006998346,0.0007340275,0.00005626836,0.0000203408],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00008912042,0.0007709599,0.0001761171,0.003166802,0.0007528897,2.033517e-7,0.0310428,0.02157328,0.01514524,0.7329426,0.01043587,0.1839042],"study_design_scores_gemma":[0.00172998,0.0001001764,0.0009673616,0.0003003832,0.0003518474,0.000004696145,0.007373868,0.6248981,0.2136542,0.1047813,0.04513507,0.0007029793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01347321,0.0006198738,0.9682326,0.000711179,0.0000772577,0.0009546732,0.00002669762,0.00008163981,0.01582293],"genre_scores_gemma":[0.6937149,0.00005405357,0.3059827,0.0001035078,0.00001062006,0.0000643393,0.000003625015,0.00001407931,0.0000521557],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6802417,"threshold_uncertainty_score":0.2738062,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2109846132","doi":"10.1002/cpa.20206","title":"Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor","year":2007,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Physics of Superconductivity and Magnetism","field":"Physics and Astronomy","cited_by":53,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ground state; Scaling; Type (biology); Superconductivity; Mathematics; Upper and lower bounds; State (computer science); Energy (signal processing); Bound state; Nonlinear system; Matching (statistics); Magnetic field; Scaling law; Condensed matter physics; Mathematical physics; Statistical physics; Physics; Mathematical analysis; Quantum mechanics; Geometry; Geology; Algorithm; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.0182923693037433,"gpt":0.2459665601587943,"spread":0.227674190855051,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002118999,0.00009828957,0.0001323783,0.00003879777,0.000192407,0.00003208209,0.0002804954,0.00002132601,0.000005180477],"category_scores_gemma":[0.000004834012,0.00006718752,0.00002303571,0.0001450055,0.000291182,0.0001503864,0.000230617,0.000195668,9.0586e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001054276,"about_ca_system_score_gemma":0.00001677576,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001144155,"about_ca_topic_score_gemma":0.0001735106,"domain_scores_codex":[0.9994683,0.00002473835,0.0002137674,0.00009628131,0.00007404968,0.0001229242],"domain_scores_gemma":[0.9990789,0.0002040037,0.00008334022,0.0005810511,0.00002535838,0.00002731881],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005445228,0.0007291751,0.002692269,0.0001801353,0.0001155696,3.711889e-7,0.01913727,0.00008893626,0.06672908,0.8511192,0.00002994906,0.05912365],"study_design_scores_gemma":[0.0008629638,0.0000424686,0.02196029,0.0001885232,0.00005268676,0.000006542127,0.008649719,0.000411298,0.02787469,0.9391665,0.0004750922,0.0003092354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9979181,0.00009912233,0.0005953247,0.000120872,0.00002732917,0.0001445681,0.00001781608,0.000007156431,0.001069746],"genre_scores_gemma":[0.9987885,0.0001307249,0.0009538138,0.0000225281,0.00001503852,0.00001567329,0.000006583059,0.00001057802,0.0000565584],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08804736,"threshold_uncertainty_score":0.2739828,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2095209716","doi":"10.1002/cpa.20218","title":"An inviscid regularization for the surface quasi‐geostrophic equation","year":2007,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"National Science Foundation","keywords":"Inviscid flow; Regularization (linguistics); Mathematics; Singularity; Applied mathematics; Mathematical analysis; Classical mechanics; Physics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.1211593427737133,"gpt":0.3626333820194284,"spread":0.2414740392457151,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002127659,0.0002121105,0.0002444964,0.0001015852,0.001073309,0.0001174006,0.0008176239,0.0001547772,0.00001249249],"category_scores_gemma":[0.000428279,0.0001697671,0.00006620275,0.0003921764,0.0002367954,0.0001393131,0.0001276433,0.0002618329,0.00002171458],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006781008,"about_ca_system_score_gemma":0.00004676543,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001864762,"about_ca_topic_score_gemma":0.0000490397,"domain_scores_codex":[0.998511,0.00005708665,0.0006238271,0.0002324396,0.0003066968,0.000269003],"domain_scores_gemma":[0.9930621,0.003765193,0.0003832067,0.002477372,0.0002160466,0.00009603094],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001504801,0.0005137118,0.000007352924,0.00006276522,0.00003187502,4.916558e-8,0.001716552,0.0001629076,0.002161948,0.9899595,0.0005310836,0.004837229],"study_design_scores_gemma":[0.0007817215,0.0001502428,0.00009509408,0.00006958958,0.0002380295,0.000006695929,0.003721841,0.07431776,0.002372414,0.9128774,0.005013615,0.0003555712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01490976,0.0002061801,0.976218,0.002718193,0.0000552261,0.001768237,0.00003497705,0.0001866734,0.003902692],"genre_scores_gemma":[0.6276121,0.0001207103,0.3713877,0.0002061644,0.0000600213,0.0001728261,0.0001250822,0.00004917616,0.0002663384],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6127023,"threshold_uncertainty_score":0.8255131,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1938871066","doi":"10.1002/cpa.21460","title":"Entanglement Thresholds for Random Induced States","year":2013,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":49,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Agence Nationale de la Recherche","keywords":"Quantum entanglement; Multipartite; Separable space; Multipartite entanglement; State (computer science); Separable state; W state; Random compact set","retraction":null,"screen_n_in":null,"score":{"opus":0.03337740534309057,"gpt":0.2716699289841488,"spread":0.2382925236410582,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001984129,0.0001068838,0.0001373491,0.00008959809,0.0002669571,0.000222839,0.0009188263,0.00004163184,0.00001565441],"category_scores_gemma":[0.00001001028,0.00008637275,0.00004291741,0.0001649495,0.00004749877,0.0001860544,0.000232987,0.00008729061,0.00006148953],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008788389,"about_ca_system_score_gemma":0.00001266688,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001084269,"about_ca_topic_score_gemma":0.000001790397,"domain_scores_codex":[0.9993517,0.000009167103,0.0002766876,0.0001038671,0.0001198354,0.0001386817],"domain_scores_gemma":[0.9982576,0.0002761306,0.0001156811,0.001219779,0.00006887651,0.00006188348],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000167246,0.0001241683,0.000003419375,0.00003009592,0.00001510518,9.204119e-9,0.001679438,0.000004113339,0.0003249653,0.9780464,0.003165117,0.01660557],"study_design_scores_gemma":[0.002361688,0.0001442059,0.00008278051,0.00005242458,0.00002335633,0.000003964989,0.002605835,0.114998,0.003898876,0.8490618,0.02638662,0.0003803426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03892228,0.0001696143,0.9140881,0.007597805,0.00006001053,0.002258931,0.00001179221,0.0002725536,0.03661896],"genre_scores_gemma":[0.7272211,0.0001809848,0.2704291,0.001169656,0.000008317557,0.0009235294,0.00002859784,0.000008392867,0.00003030378],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6882989,"threshold_uncertainty_score":0.3522179,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2166166211","doi":"10.1002/cpa.20261","title":"A priori estimate for convex solutions to special Lagrangian equations and its application","year":2008,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"A priori and a posteriori; Mathematics; Lagrangian; Regular polygon; Hessian matrix; Viscosity; Viscosity solution; Domain (mathematical analysis); Hessian equation; Applied mathematics; Mathematical analysis; Geometry; Partial differential equation; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.1297658317878832,"gpt":0.3579208709619673,"spread":0.2281550391740841,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002935364,0.0002194888,0.0003310233,0.0001600197,0.001110599,0.00005227409,0.000405164,0.0001158432,0.00001615561],"category_scores_gemma":[0.0005137752,0.000219845,0.00005982022,0.000279964,0.000150423,0.00007349548,0.0002482552,0.0001727636,0.00008722833],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003852757,"about_ca_system_score_gemma":0.0000589396,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002112593,"about_ca_topic_score_gemma":0.00009819975,"domain_scores_codex":[0.9987505,0.0000281953,0.000481184,0.0002718013,0.0001933034,0.0002750321],"domain_scores_gemma":[0.9970427,0.001353918,0.0001844211,0.001076217,0.0001669537,0.0001758359],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001110261,0.0004245767,0.000002657762,0.00009374866,0.00003405898,8.866827e-8,0.001991788,0.00001572946,0.002736747,0.9910716,0.001178829,0.00243911],"study_design_scores_gemma":[0.001849752,0.0002315684,0.0002299456,0.0001652069,0.0004563604,0.00002779717,0.000877314,0.09177735,0.002927128,0.8782948,0.02223904,0.0009237955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04854903,0.0001938721,0.9271305,0.006444687,0.00008762604,0.005531323,0.0003509651,0.0003439669,0.01136804],"genre_scores_gemma":[0.662859,0.0001375754,0.3342135,0.0001982479,0.0002615602,0.001743249,0.0001498743,0.00006528216,0.0003717099],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.61431,"threshold_uncertainty_score":0.8965017,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2898175050","doi":"10.1002/cpa.22041","title":"Birkhoff Normal Form and Long Time Existence for Periodic Gravity Water Waves","year":2022,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Scuola Internazionale Superiore di Studi Avanzati","keywords":"Mathematics; Integrable system; Conjecture; Stability (learning theory); Mathematical analysis; Scale (ratio); Order (exchange); Interface (matter); Gravitational wave; Pure mathematics; Mechanics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.04626641877923886,"gpt":0.3015135541798247,"spread":0.2552471354005859,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006010959,0.0002673073,0.000442945,0.00008257842,0.00119737,0.00008220576,0.0006886999,0.00006278315,0.00005396071],"category_scores_gemma":[0.00008207558,0.0002162807,0.00007715644,0.0001224882,0.0003061382,0.0001115876,0.00113763,0.0003628709,0.00002254315],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005098067,"about_ca_system_score_gemma":0.00002039636,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.821629e-7,"about_ca_topic_score_gemma":0.0000021719,"domain_scores_codex":[0.9985915,0.00003140609,0.000484204,0.0002852932,0.0002622291,0.0003453517],"domain_scores_gemma":[0.9969731,0.0011615,0.0001908512,0.001509177,0.00005931318,0.000106045],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001947654,0.0006201905,0.000002120116,0.0005858567,0.00004114673,3.921141e-7,0.003814218,0.000007665966,0.002794931,0.9887916,0.0004704447,0.00285192],"study_design_scores_gemma":[0.0005030517,0.0001141743,0.000003772277,0.00004009437,0.00008863096,0.00002345492,0.0008704347,0.003024552,0.002083977,0.9908001,0.002146491,0.0003012773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6444609,0.001057914,0.2482477,0.008943291,0.0001611138,0.01258969,0.0006092838,0.001320244,0.08260987],"genre_scores_gemma":[0.5783297,0.00008009237,0.4177292,0.0003209383,0.00003302381,0.00193199,0.000110875,0.0001118813,0.001352259],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1694815,"threshold_uncertainty_score":0.9209327,"prediction_status":"machine_predicted_unvalidated"},"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,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"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","retraction":null,"screen_n_in":null,"score":{"opus":0.04374884462397617,"gpt":0.2950123426366716,"spread":0.2512634980126955,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005056589,0.0002745673,0.0005092086,0.0002882353,0.0002462904,0.0001253013,0.0008573471,0.0001789915,0.0002405553],"category_scores_gemma":[0.0002551904,0.0002256682,0.0001215434,0.0007079432,0.0001122255,0.00008034319,0.0004202336,0.0004417259,0.000334572],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002308813,"about_ca_system_score_gemma":0.00002663936,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001593797,"about_ca_topic_score_gemma":0.00001067095,"domain_scores_codex":[0.9986117,0.00003323788,0.0005207775,0.0002618607,0.0003072817,0.0002650754],"domain_scores_gemma":[0.9945239,0.00227388,0.0002919548,0.002722132,0.00008961271,0.00009855306],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009034024,0.0005757696,0.0002418238,0.0002041682,0.0001434801,4.109065e-7,0.001308634,0.0001363279,0.0001385517,0.9894849,0.002600717,0.005156151],"study_design_scores_gemma":[0.00143643,0.0001432091,0.0005026066,0.0002323728,0.000418526,0.00001118973,0.005969163,0.03195931,0.0003608951,0.9048147,0.05316871,0.0009828905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2657346,0.001774461,0.08391133,0.003664496,0.0002084038,0.00265165,0.0001193833,0.0007035085,0.6412321],"genre_scores_gemma":[0.9464062,0.0003504728,0.05037453,0.0002948425,0.00003114829,0.0001033325,0.00004370429,0.00004403742,0.002351687],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6806716,"threshold_uncertainty_score":0.9202482,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4381848730","doi":"10.1002/cpa.22106","title":"Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation","year":2023,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":37,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Horizon 2020 Framework Programme; Natural Sciences and Engineering Research Council of Canada; European Commission; Gruppo Nazionale per la Fisica Matematica; Istituto Nazionale di Alta Matematica \"Francesco Severi\"; Simons Foundation; Division of Mathematical Sciences; National Science Foundation","keywords":"Soliton; Gas dynamics; Mathematics; TRACE (psycholinguistics); Kinetic energy; Order (exchange); Riemann–Hilbert problem; Mathematical physics; Mathematical analysis; Fredholm theory; Physics; Nonlinear system; Fredholm integral equation; Classical mechanics; Quantum mechanics; Integral equation; Mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.04213938605997114,"gpt":0.3004037727917908,"spread":0.2582643867318197,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005074365,0.0001276549,0.0001835224,0.00005877997,0.001132726,0.0001622099,0.0005069527,0.00003254584,0.00002545469],"category_scores_gemma":[0.00002475889,0.00006352042,0.00008664688,0.0004123569,0.0004248899,0.00002878628,0.0002667541,0.0002190972,0.00002458071],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005826802,"about_ca_system_score_gemma":0.00002032263,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002682261,"about_ca_topic_score_gemma":0.00005870005,"domain_scores_codex":[0.99925,0.00007634546,0.0002553524,0.0001278393,0.000137182,0.0001533148],"domain_scores_gemma":[0.9965651,0.001831188,0.0001450809,0.001390325,0.00003452571,0.00003374782],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001660108,0.00008752302,0.0001721845,0.00001169684,0.0003166874,5.026578e-8,0.004903235,0.0001834702,0.0000372516,0.9702808,0.0005000129,0.02349046],"study_design_scores_gemma":[0.003501512,0.00008017247,0.006142823,0.00006546568,0.00327278,0.000002212685,0.02949056,0.5644816,0.0003583989,0.3650968,0.02692324,0.0005844365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7743244,0.001869355,0.02001886,0.05360881,0.0003259764,0.004755436,0.0004766247,0.0002755888,0.144345],"genre_scores_gemma":[0.997667,0.0003548488,0.00140343,0.00007446274,0.00008950257,0.0001433704,0.00009335615,0.00001312067,0.0001609566],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6051841,"threshold_uncertainty_score":0.871213,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2054020862","doi":"10.1002/cpa.20143","title":"Schrödinger flow near harmonic maps","year":2006,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Equivariant map; Harmonic map; Mathematics; Harmonic; Flow (mathematics); Energy (signal processing); Schrödinger's cat; Mathematical analysis; Scale (ratio); Geometry; Pure mathematics; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.04894666719832549,"gpt":0.3020382156277476,"spread":0.2530915484294222,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003754239,0.0003402548,0.0004823357,0.00007873225,0.0005404077,0.0001517003,0.0008409451,0.0001420555,0.00003924179],"category_scores_gemma":[0.0001197256,0.0003030072,0.00009586576,0.0002864708,0.0003865712,0.0001123496,0.0004529682,0.0004603729,0.0002295133],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005409099,"about_ca_system_score_gemma":0.00003424032,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001643019,"about_ca_topic_score_gemma":0.000005093125,"domain_scores_codex":[0.9983357,0.00002869421,0.0006418773,0.0003112604,0.0003161408,0.0003662912],"domain_scores_gemma":[0.9957253,0.001280657,0.0002872064,0.002521791,0.00008290607,0.0001020898],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004284612,0.0007446565,0.000001311973,0.0002357533,0.00002728998,4.937431e-7,0.0003217983,0.00005156862,0.001119172,0.9876868,0.007477145,0.002329802],"study_design_scores_gemma":[0.0004169806,0.00002790452,0.000004980816,0.0001176289,0.00007643046,0.000007921355,0.0001424537,0.005642778,0.001534626,0.9873033,0.004394046,0.000330912],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.04821694,0.001528288,0.271753,0.00631342,0.0001487105,0.004229472,0.0001512234,0.001924362,0.6657346],"genre_scores_gemma":[0.2277913,0.00009617781,0.7708584,0.0001725588,0.00005474119,0.0002653096,0.00004548751,0.00009717618,0.0006187929],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6651158,"threshold_uncertainty_score":0.9999422,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1971415025","doi":"10.1002/cpa.21568","title":"Large Deviations from a Stationary Measure for a Class of Dissipative PDEs with Random Kicks","year":2015,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Measure (data warehouse); Dissipative system; Mathematics; Markov chain; Markov process; Bounded function; Class (philosophy); Statistical physics; Markov property; Applied mathematics; Large deviations theory; Markov model; Mathematical analysis; Computer science; Statistics; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.08519762648949253,"gpt":0.3312102070287425,"spread":0.24601258053925,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006121509,0.0002202991,0.0005292615,0.00008493281,0.000202055,0.00004277915,0.0004353601,0.0001113526,0.00001505863],"category_scores_gemma":[0.0009993505,0.0001636924,0.00006997279,0.0001833098,0.0001789275,0.00007266801,0.0001407336,0.0001758333,0.000005725898],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003133237,"about_ca_system_score_gemma":0.00008862589,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001946038,"about_ca_topic_score_gemma":0.00005603661,"domain_scores_codex":[0.998696,0.00004723599,0.0005593749,0.0001951201,0.0003139821,0.0001882971],"domain_scores_gemma":[0.9942151,0.003541109,0.0004312346,0.001193779,0.0004848316,0.0001339365],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001040644,0.001053458,0.00001815133,0.0002060859,0.0001454173,1.299185e-7,0.005446737,0.000006961475,0.00009877408,0.990817,0.00169552,0.0004076804],"study_design_scores_gemma":[0.002605957,0.0001263622,0.00002211942,0.0002546637,0.0002322851,0.000001260698,0.00549526,0.01322774,0.000220048,0.9756866,0.001902068,0.0002257143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04173014,0.0003832849,0.9240975,0.001162318,0.00002636729,0.002444515,0.001073358,0.0001113936,0.02897116],"genre_scores_gemma":[0.6861694,0.00005222274,0.3127325,0.00006907526,0.00002194419,0.0005940455,0.0001946065,0.00004321218,0.0001229813],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6444392,"threshold_uncertainty_score":0.6675181,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2095860102","doi":"10.1002/cpa.21573","title":"Universality of the Stochastic Airy Operator","year":2015,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Universality (dynamical systems); Eigenvalues and eigenvectors; Random matrix; Operator (biology); Regular polygon; Orthogonal polynomials; Polynomial","retraction":null,"screen_n_in":null,"score":{"opus":0.09549023541338607,"gpt":0.323837757490411,"spread":0.228347522077025,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004051896,0.0001328868,0.0002508184,0.00004156584,0.0002228788,0.00002840742,0.0008769175,0.00006990183,0.000007675221],"category_scores_gemma":[0.0001689308,0.00009075766,0.00005751428,0.000282578,0.0002451669,0.00003601853,0.0003820564,0.0001885251,0.00001475585],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002762814,"about_ca_system_score_gemma":0.00006781148,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003248142,"about_ca_topic_score_gemma":0.000009912123,"domain_scores_codex":[0.9991685,0.00003803562,0.0003428191,0.0001253725,0.0002090875,0.0001162087],"domain_scores_gemma":[0.9968892,0.000646747,0.0002362355,0.002035079,0.0001105173,0.00008225211],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000006719734,0.0003120086,0.000006375571,0.00005912025,0.00002262387,2.593867e-8,0.00133153,0.00003181513,0.0001061858,0.995194,0.002499584,0.0004300038],"study_design_scores_gemma":[0.001238553,0.00003489317,0.00005001612,0.000102844,0.0001838573,0.000006686532,0.004744845,0.001912863,0.000751323,0.9862148,0.004533213,0.0002261192],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5845435,0.001238174,0.1445812,0.01435996,0.0002056854,0.005816975,0.0002338248,0.0004764385,0.2485442],"genre_scores_gemma":[0.9554231,0.0000378439,0.04403317,0.00009211982,0.00001747432,0.0000894664,0.000004804117,0.00002034111,0.0002817082],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3708796,"threshold_uncertainty_score":0.370099,"prediction_status":"machine_predicted_unvalidated"},"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,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"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","retraction":null,"screen_n_in":null,"score":{"opus":0.06367979075342461,"gpt":0.3070760417212312,"spread":0.2433962509678065,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009509512,0.0005475139,0.001330442,0.0003387521,0.0002324701,0.0001025031,0.001913304,0.0006562051,0.00009871384],"category_scores_gemma":[0.00025812,0.0003960648,0.0002988757,0.0004294138,0.0003678098,0.0000482727,0.001630443,0.001035361,0.00003295018],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004525132,"about_ca_system_score_gemma":0.00008622103,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002356086,"about_ca_topic_score_gemma":0.00003033303,"domain_scores_codex":[0.9975629,0.00009057703,0.001015928,0.0004735572,0.0005582003,0.0002988792],"domain_scores_gemma":[0.9920251,0.001600413,0.001077723,0.004866494,0.0002922804,0.0001380135],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001494865,0.0009073971,0.00001642187,0.001490619,0.0008038934,5.445104e-7,0.004570662,0.00002931912,0.0004217332,0.9769183,0.008022318,0.006803782],"study_design_scores_gemma":[0.0006230721,0.0000531584,0.00001846092,0.001085108,0.001161376,0.000004823989,0.002588057,0.002460343,0.00111941,0.9813588,0.008778454,0.0007488877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1824012,0.03074835,0.1384281,0.01482306,0.001036752,0.009162658,0.002447927,0.001423251,0.6195287],"genre_scores_gemma":[0.726328,0.002225698,0.2699891,0.00012595,0.00008931912,0.0001803794,0.0001471953,0.0001026584,0.0008117686],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.618717,"threshold_uncertainty_score":0.9998491,"prediction_status":"machine_predicted_unvalidated"},"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,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"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","retraction":null,"screen_n_in":null,"score":{"opus":0.1019985915996327,"gpt":0.3367315335125212,"spread":0.2347329419128884,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004999121,0.0002120986,0.0004168534,0.0001475465,0.0009678623,0.0001305678,0.001268793,0.0001239403,0.00006077368],"category_scores_gemma":[0.0002270689,0.0001829786,0.00009950859,0.0001597378,0.0001539058,0.00007420006,0.000340752,0.0002925013,0.0001057759],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001819592,"about_ca_system_score_gemma":0.00002414709,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003441733,"about_ca_topic_score_gemma":0.00003978253,"domain_scores_codex":[0.9988225,0.00001481181,0.0004013452,0.0002492426,0.0002952541,0.0002168177],"domain_scores_gemma":[0.9956484,0.0003453734,0.0002647946,0.003487075,0.00009525049,0.0001590756],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002049088,0.002224475,0.0001047107,0.0001468138,0.000240692,0.000001500859,0.001716594,0.00008560678,0.001369453,0.9837314,0.00326717,0.007091058],"study_design_scores_gemma":[0.008611383,0.0006479224,0.0187912,0.001624573,0.003482933,0.00006501681,0.006373031,0.04026818,0.005882202,0.817942,0.0913389,0.004972723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6154006,0.000635499,0.2278841,0.01461226,0.0001741231,0.003187943,0.0001502276,0.0005029873,0.1374522],"genre_scores_gemma":[0.5475731,0.00004313423,0.4515024,0.0001619571,0.00002160981,0.00007624651,0.00001449788,0.00002311067,0.0005839054],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2236183,"threshold_uncertainty_score":0.7461651,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2060525268","doi":"10.1002/cpa.20086","title":"Vortices and pinning effects for the Ginzburg-Landau model in multiply connected domains","year":2005,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":25,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Vortex; Mathematics; Statistical physics; Condensed matter physics; Physics; Mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.0245014854944064,"gpt":0.2762293928586897,"spread":0.2517279073642833,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002688531,0.00008678781,0.0001105782,0.00005266847,0.0002453879,0.0001154642,0.0005230748,0.00003898779,2.006943e-7],"category_scores_gemma":[0.00002464334,0.00006270364,0.00001571596,0.00009902594,0.00005021542,0.000107999,0.0002045997,0.000113833,0.000002026154],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000011572,"about_ca_system_score_gemma":0.00001129747,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001754217,"about_ca_topic_score_gemma":0.00005713732,"domain_scores_codex":[0.9995202,0.00001154972,0.0001861109,0.0001041886,0.00007001383,0.0001079782],"domain_scores_gemma":[0.9982754,0.0008629501,0.00009011851,0.0007207709,0.00002341431,0.00002735955],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000004634848,0.0001573998,0.00003045469,0.0001116601,0.0000167548,6.668441e-8,0.005062435,0.003664414,0.0004736212,0.921371,0.00007315986,0.06903444],"study_design_scores_gemma":[0.0004173008,0.00001453045,0.0001338708,0.00004131184,0.00001010158,0.000001718937,0.00007515187,0.974272,0.0001265303,0.02404252,0.0007855747,0.00007942053],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06061268,0.000313569,0.9327034,0.005033633,0.00001190933,0.0006164241,0.000006309529,0.00004664642,0.0006553648],"genre_scores_gemma":[0.667621,0.000190981,0.3315727,0.0004702346,0.000009187761,0.0001082986,0.000007315424,0.000005780601,0.00001451001],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9706076,"threshold_uncertainty_score":0.2556981,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2996895848","doi":"10.1002/cpa.21881","title":"On the Global Behavior of Weak Null Quasilinear Wave Equations","year":2019,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Null (SQL); Initial value problem; Infinity; Wave equation; Cone (formal languages); Cauchy problem; Cauchy distribution; Space (punctuation); Mathematical analysis; Class (philosophy); Light cone; Applied mathematics; Mathematical physics","retraction":null,"screen_n_in":null,"score":{"opus":0.0800673883042039,"gpt":0.3348972111631618,"spread":0.2548298228589579,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004336819,0.0002564017,0.0004356807,0.00004728908,0.0002163691,0.00003720275,0.000805829,0.0001095987,0.00009127342],"category_scores_gemma":[0.0003995536,0.0001802023,0.000103998,0.0003008351,0.0002761468,0.00005489234,0.0003554144,0.0003518091,0.0002024193],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000055344,"about_ca_system_score_gemma":0.00003584396,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.055648e-7,"about_ca_topic_score_gemma":0.000003986655,"domain_scores_codex":[0.9985222,0.00004590569,0.0006173606,0.0002253952,0.0003655659,0.0002236098],"domain_scores_gemma":[0.9919087,0.00447158,0.0003993099,0.003039544,0.0001086862,0.00007214311],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007016782,0.001143925,0.000003662956,0.0001665238,0.00003443295,8.338746e-8,0.0004418359,0.00001867339,0.0006517145,0.9963627,0.0003496293,0.0008197655],"study_design_scores_gemma":[0.000314522,0.00008946067,0.000006450167,0.0001493256,0.0001017213,0.000002691256,0.0009215421,0.002837048,0.001141621,0.9939864,0.000261343,0.0001879291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2977486,0.0002116268,0.1308114,0.005142555,0.0001238588,0.007344756,0.0002749909,0.0004291017,0.5579131],"genre_scores_gemma":[0.8624952,0.00003766817,0.1365682,0.0001680586,0.00001354253,0.0003523284,0.00001714384,0.00004404221,0.0003038399],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5647466,"threshold_uncertainty_score":0.7348437,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2594713164","doi":"10.1002/cpa.20176","title":"Antisymmetric Hamiltonians: Variational resolutions for Navier‐Stokes and other nonlinear evolutions","year":2006,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":22,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Antisymmetric relation; Nonlinear system; Variational principle; Mathematical physics; Operator (biology); Banach space; Mathematical analysis; Type (biology); Antisymmetry; Function space; Quantum mechanics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.0232125463995741,"gpt":0.2456046919136362,"spread":0.2223921455140621,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001777516,0.0001382983,0.0001888903,0.0001269199,0.0004705332,0.00006491448,0.0002106452,0.00009120965,0.00001131751],"category_scores_gemma":[0.00006820209,0.0001412476,0.00004728094,0.0002327486,0.0001683158,0.00004752441,0.0000518349,0.0001337156,0.000008926055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003370847,"about_ca_system_score_gemma":0.00001935869,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000872059,"about_ca_topic_score_gemma":0.0001133779,"domain_scores_codex":[0.9992769,0.00001410836,0.000311375,0.0001394889,0.0001026674,0.0001554853],"domain_scores_gemma":[0.998442,0.0007305775,0.00004846287,0.0006742233,0.00006060645,0.00004413739],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00000401026,0.0003236724,0.00005817635,0.0001059399,0.00004118821,1.272535e-8,0.0002547428,0.0008965008,0.0006502636,0.994741,0.0004344299,0.002490042],"study_design_scores_gemma":[0.001325215,0.00005687704,0.0029027,0.00007179919,0.0002096005,0.00000462503,0.0004765658,0.5429551,0.0001677142,0.4172054,0.03417912,0.0004452503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06097212,0.005582247,0.865087,0.00466176,0.0001507076,0.003015104,0.001612767,0.0007755721,0.05814268],"genre_scores_gemma":[0.7825865,0.0001530462,0.2165173,0.00007269003,0.00005851398,0.0003914061,0.0001117811,0.00002798394,0.00008078291],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7216144,"threshold_uncertainty_score":0.5759908,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1834934550","doi":"10.1002/cpa.21685","title":"Approximate Ultrametricity for Random Measures and Applications to Spin Glasses","year":2017,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"advanced mathematical theories","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Ultrametric space; Hilbert space; Spin glass; Sequence (biology); Conjecture; Probability measure; Random field; Unit sphere; Separable space; Law of large numbers","retraction":null,"screen_n_in":null,"score":{"opus":0.11805735795029,"gpt":0.3911284316245243,"spread":0.2730710736742343,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0008357004,0.000302176,0.0005978565,0.000129933,0.001521512,0.0003226446,0.001176612,0.0001256284,0.000004297127],"category_scores_gemma":[0.00273251,0.0002565375,0.00007309442,0.0001360706,0.000500753,0.0001208402,0.0005367825,0.0002169541,0.00001362061],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002872255,"about_ca_system_score_gemma":0.00002223249,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.137515e-7,"about_ca_topic_score_gemma":0.000009383139,"domain_scores_codex":[0.9985839,0.00002512885,0.0005205133,0.0003472894,0.0002265972,0.0002966025],"domain_scores_gemma":[0.9922136,0.003700505,0.0003974041,0.003347875,0.0001531606,0.0001874351],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003444458,0.0003432415,0.000004500859,0.0004619698,0.00004688183,7.008681e-8,0.0005193861,0.000002064992,0.0005382329,0.976467,0.0002817942,0.02130046],"study_design_scores_gemma":[0.0009378968,0.00005341787,0.00001583575,0.0001191339,0.0001224991,0.000005907189,0.0006455849,0.0004466501,0.00280181,0.9841357,0.01041355,0.0003019767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.005728605,0.0002997455,0.9603216,0.002029353,0.00002505512,0.0043272,0.00009606662,0.0002302337,0.02694211],"genre_scores_gemma":[0.2443627,0.000393121,0.7517335,0.0001560798,0.00005673819,0.002981667,0.00001012304,0.00006559384,0.0002404609],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2386341,"threshold_uncertainty_score":0.9999887,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2134329938","doi":"10.1002/cpa.20120","title":"Long‐time dynamics of KdV solitary waves over a variable bottom","year":2006,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Korteweg–de Vries equation; Mathematics; Variable (mathematics); Bounded function; Function (biology); Variable coefficient; Mathematical analysis; Nonlinear system; Type (biology); Scale (ratio); Mathematical physics; Physics; Geology; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.02062018397810699,"gpt":0.2810566235591673,"spread":0.2604364395810603,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004021409,0.0003241837,0.0006473276,0.0001116293,0.0002231771,0.00004181097,0.0008194266,0.0001666958,0.00006308503],"category_scores_gemma":[0.0001074745,0.0002938913,0.000095353,0.0003238631,0.0003780387,0.000115836,0.0004747231,0.0003949551,0.00003712904],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006987571,"about_ca_system_score_gemma":0.0000432742,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005080064,"about_ca_topic_score_gemma":0.00001105642,"domain_scores_codex":[0.9982153,0.00003356928,0.0008390892,0.0002660794,0.0003280004,0.0003179664],"domain_scores_gemma":[0.9950428,0.001881058,0.0004539654,0.002453233,0.00008722185,0.0000817133],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007671759,0.001269477,0.000006946485,0.0005780599,0.00005160211,3.425222e-7,0.0002253551,0.00004022973,0.00141786,0.9943773,0.001554604,0.0004706095],"study_design_scores_gemma":[0.000418714,0.00003973372,0.000013911,0.0001989594,0.0001220457,0.000006387273,0.0001525116,0.01401396,0.000851129,0.9836857,0.0002088563,0.0002880329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.06373832,0.0006689282,0.4887269,0.001439973,0.00005864785,0.002869495,0.0002846153,0.0006685391,0.4415446],"genre_scores_gemma":[0.2138565,0.00007415998,0.7843098,0.0000869833,0.00003839617,0.0001501243,0.0001188599,0.000101816,0.001263311],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4402813,"threshold_uncertainty_score":0.9999513,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3158148806","doi":"10.1002/cpa.21993","title":"Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two","year":2021,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Liquid crystal; Bounded function; Domain (mathematical analysis); Mathematics; Dimension (graph theory); Flow (mathematics); Boundary value problem; Boundary (topology); Mathematical analysis; Geometry; Pure mathematics; Condensed matter physics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.07349009215328077,"gpt":0.3378266440355862,"spread":0.2643365518823054,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008001817,0.0002227569,0.0003826497,0.0001039111,0.0005425583,0.00008558524,0.0005875983,0.0001036007,0.00007442191],"category_scores_gemma":[0.0008634097,0.0001782881,0.0001017226,0.0004227943,0.0001664943,0.00006712609,0.0003739909,0.0003234797,0.00008495964],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005420296,"about_ca_system_score_gemma":0.00008438622,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.113141e-7,"about_ca_topic_score_gemma":0.00005491789,"domain_scores_codex":[0.9985321,0.00008255673,0.0006573469,0.0002300897,0.0002413909,0.0002565369],"domain_scores_gemma":[0.9897291,0.007502133,0.0002349839,0.002315023,0.0001515355,0.00006723818],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003164609,0.001192505,0.00000145385,0.0003390521,0.00009514033,0.000001163552,0.004532512,0.0009175875,0.004540534,0.9810588,0.004945636,0.002343926],"study_design_scores_gemma":[0.002409241,0.0001112868,0.000008814564,0.000545284,0.0003915892,0.00003109931,0.002526651,0.3122484,0.002659185,0.6649934,0.01351101,0.0005640494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0584102,0.004303684,0.819883,0.03861308,0.000287783,0.009737156,0.0004238985,0.0007425845,0.06759864],"genre_scores_gemma":[0.3821979,0.0004330327,0.6132383,0.0006649271,0.00006761285,0.001357656,0.0001717055,0.00009780751,0.001771139],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3237877,"threshold_uncertainty_score":0.727038,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2007426439","doi":"10.1002/cpa.21569","title":"Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for Semi‐invertible Matrix Cocycles","year":2015,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Australian Research Council","keywords":"Invertible matrix; Mathematics; Lyapunov exponent; Linear subspace; Stability (learning theory); Pure mathematics; Matrix (chemical analysis); Lyapunov equation; Random matrix; Applied mathematics; Eigenvalues and eigenvectors; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.1127627844802055,"gpt":0.3481616666895574,"spread":0.2353988822093519,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001048577,0.0002431225,0.0005846972,0.00008686519,0.0001720306,0.00005334427,0.0004693021,0.000138766,0.000009943427],"category_scores_gemma":[0.0008607152,0.0002081813,0.00006661827,0.000135763,0.0002858401,0.0000636175,0.0003616347,0.0001768662,0.000005175753],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003189087,"about_ca_system_score_gemma":0.00004080027,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002038536,"about_ca_topic_score_gemma":0.0000074602,"domain_scores_codex":[0.9985091,0.00003266313,0.0007243459,0.0002429773,0.0002558219,0.0002350997],"domain_scores_gemma":[0.9953688,0.002476227,0.0003939028,0.001400183,0.0001763258,0.0001845121],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003432901,0.0008404044,0.00001879413,0.001158824,0.00005410032,8.451969e-8,0.002819437,0.000004529476,0.002154645,0.9913748,0.0004081633,0.0011319],"study_design_scores_gemma":[0.0009429991,0.0001078725,0.00001527087,0.0002183899,0.0001412414,0.000006766821,0.002692527,0.03719391,0.001274837,0.9569492,0.0001968328,0.0002601219],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8135736,0.0005007061,0.1732638,0.0008050676,0.00003835055,0.002597457,0.0001688137,0.0001506838,0.008901512],"genre_scores_gemma":[0.7834865,0.0000506865,0.2161045,0.00003456309,0.00001195885,0.0001827336,0.00002134804,0.00003759606,0.00007011751],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04284073,"threshold_uncertainty_score":0.8489388,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4387343669","doi":"10.1002/cpa.22169","title":"High‐dimensional limit theorems for SGD: Effective dynamics and critical scaling","year":2023,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Adolph C. and Mary Sprague Miller Institute for Basic Research in Science, University of California Berkeley; National Science Foundation","keywords":"Mathematics; Scaling; Limit (mathematics); Bounded function; Statistical physics; Gaussian; Convergence (economics); Scaling limit; Applied mathematics; Mathematical analysis; Physics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03862254252073253,"gpt":0.338662800690719,"spread":0.3000402581699864,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006301274,0.0002082561,0.0003585455,0.000126195,0.00067227,0.00009884312,0.0003628535,0.0001271322,0.000006395116],"category_scores_gemma":[0.0004213624,0.0001777858,0.00006608196,0.0002931785,0.0002944818,0.00004684476,0.0003015142,0.0002180205,0.00002690754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000276783,"about_ca_system_score_gemma":0.00001541833,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001285284,"about_ca_topic_score_gemma":0.000007516609,"domain_scores_codex":[0.9989263,0.00003031494,0.000373095,0.000260466,0.0001656708,0.0002441605],"domain_scores_gemma":[0.9906522,0.00800126,0.0001238207,0.001029165,0.00009237001,0.0001011563],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001757906,0.0002032452,0.000002427306,0.0002605076,0.00003608291,1.666079e-7,0.0003776638,0.00001641617,0.0002022828,0.9882469,0.001152644,0.00948413],"study_design_scores_gemma":[0.0007661256,0.00004753765,0.00004124561,0.00009599025,0.0001465956,0.000007712839,0.0006993039,0.06253879,0.000265257,0.934439,0.0007311629,0.0002212956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6517357,0.001173678,0.2667455,0.04329349,0.0002673746,0.01168806,0.0009782501,0.001911335,0.02220658],"genre_scores_gemma":[0.7663046,0.0002801732,0.2315,0.0001425947,0.00005551074,0.001377894,0.0001106575,0.00005871326,0.0001698758],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1145689,"threshold_uncertainty_score":0.7249894,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3129333616","doi":"10.1002/cpa.22135","title":"Stability of the tangent bundle through conifold transitions","year":2023,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Conifold; Mathematics; Gravitational singularity; Pure mathematics; Tangent bundle; Disjoint sets; Unit tangent bundle; Tangent cone; Metric (unit); Mathematical analysis; Normal bundle; Smoothing; Hermitian manifold; Hermitian matrix; Tangent; Curvature; Geometry; Mathematical physics; Vector bundle; Tangent space; Gauge theory","retraction":null,"screen_n_in":null,"score":{"opus":0.1419778122457696,"gpt":0.3255612203024998,"spread":0.1835834080567302,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003896294,0.0001416683,0.0002573949,0.00004610892,0.0003852531,0.00002430848,0.0007614508,0.00007520849,0.00006668129],"category_scores_gemma":[0.00009573835,0.0001035188,0.00009435139,0.000610102,0.0002584665,0.00003541635,0.000314428,0.0001981225,0.00003241171],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001641909,"about_ca_system_score_gemma":0.00002662618,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001918583,"about_ca_topic_score_gemma":0.00002569269,"domain_scores_codex":[0.9990383,0.00004748775,0.0003926835,0.0001429909,0.0002150906,0.0001634343],"domain_scores_gemma":[0.996649,0.000833446,0.0001660001,0.0022542,0.00006190012,0.00003547345],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000277095,0.0005766197,0.00001401987,0.0002097511,0.00003498295,5.691792e-8,0.003095253,0.000004517105,0.001392813,0.9928749,0.001609057,0.0001852737],"study_design_scores_gemma":[0.0002818277,0.00004445935,0.0001841661,0.00008784685,0.0001052221,0.000003868935,0.005106811,0.0005261443,0.006859776,0.9828365,0.003804367,0.0001590336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7675921,0.000327584,0.01444525,0.01427791,0.0001400253,0.002706609,0.0003269143,0.0006079251,0.1995757],"genre_scores_gemma":[0.9728628,0.0001243547,0.026543,0.0001076923,0.000011221,0.000132775,0.00001491469,0.00002022493,0.000183067],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2052706,"threshold_uncertainty_score":0.4221376,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2566344843","doi":"10.1002/cpa.21791","title":"Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line","year":2018,"lang":"en","type":"preprint","venue":"Communications on Pure and Applied Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Critical line; Conjecture; Riemann hypothesis; Mathematics; Order (exchange); Riemann zeta function; Interval (graph theory); Line (geometry); Combinatorics; Real line; Function (biology); Measure (data warehouse); Mathematical physics; Physics; Mathematical analysis; Geometry; Condensed matter physics","retraction":null,"screen_n_in":null,"score":{"opus":0.126523805870953,"gpt":0.3862704317494766,"spread":0.2597466258785236,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001293237,0.0003031034,0.0006273637,0.00009360916,0.0002827062,0.00004265314,0.002742092,0.0003093902,0.00006002502],"category_scores_gemma":[0.001083156,0.0001793363,0.0002796644,0.0002416152,0.00155739,0.00001899349,0.004131233,0.001243899,0.00001535718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005145445,"about_ca_system_score_gemma":0.0001128241,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002594515,"about_ca_topic_score_gemma":0.00002051505,"domain_scores_codex":[0.9978138,0.0002134801,0.0008570279,0.0002818785,0.00062134,0.0002124351],"domain_scores_gemma":[0.990505,0.002441668,0.0004237526,0.00625401,0.0003147718,0.00006083154],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005347353,0.001169581,0.00003566487,0.001436883,0.0002174574,8.430455e-8,0.001111696,0.00001006197,0.0002001607,0.9930356,0.001992253,0.000737087],"study_design_scores_gemma":[0.0001522015,0.00008918669,0.00005686971,0.001294314,0.0004230037,0.000004194022,0.0005423865,0.001894193,0.002279038,0.992739,0.0003616911,0.0001639414],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5242719,0.0008393007,0.07590222,0.02233687,0.00111807,0.01005862,0.0008080468,0.0003210205,0.364344],"genre_scores_gemma":[0.9804599,0.00006934024,0.01862108,0.0001204747,0.00006787646,0.0001510242,0.00001279564,0.0000584203,0.0004390592],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4561881,"threshold_uncertainty_score":0.7313123,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2753189599","doi":"10.1002/cpa.21817","title":"On Concavity of the Monopolist's Problem Facing Consumers with Nonlinear Price Preferences","year":2019,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Auction Theory and Applications","field":"Decision Sciences","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Convexity; Uniqueness; Principal (computer security); Mathematical economics; Product (mathematics); Affine transformation; Earnings; Distribution (mathematics); Mathematics; Function (biology); Mathematical optimization; Economics; Microeconomics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.07051915310668,"gpt":0.3336803232553344,"spread":0.2631611701486544,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007122475,0.0001245039,0.0002345957,0.00006612469,0.0003449282,0.00007269721,0.001263994,0.00005880265,0.00006855567],"category_scores_gemma":[0.0001190797,0.00006813218,0.00004098696,0.0004431207,0.0004422766,0.00006039084,0.000247689,0.0002367427,0.0001246022],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001261656,"about_ca_system_score_gemma":0.00005122357,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000228676,"about_ca_topic_score_gemma":0.000009722704,"domain_scores_codex":[0.9987977,0.00006905619,0.0004052563,0.0002140595,0.0004052524,0.0001086472],"domain_scores_gemma":[0.9951052,0.002040291,0.000460495,0.002216782,0.0001306714,0.0000465524],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001609216,0.0002357523,0.0002973342,0.00002175719,0.00001907266,1.015206e-8,0.001055995,0.0002019635,0.0008724154,0.9936116,0.0002252189,0.003442829],"study_design_scores_gemma":[0.0007453794,0.0001689968,0.001312054,0.0002038065,0.00006601423,0.000006771098,0.01018858,0.002751585,0.008480562,0.9594669,0.01627949,0.0003298937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7955683,0.00005058763,0.004668219,0.00174688,0.0000274096,0.001300266,0.00006124957,0.00004575614,0.1965313],"genre_scores_gemma":[0.978865,0.00002626785,0.01998898,0.0001596525,0.000004192895,0.00007802124,0.000004197494,0.000008794163,0.0008648763],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1956664,"threshold_uncertainty_score":0.277835,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2609723887","doi":"10.1002/cpa.21695","title":"Long‐Range Behavior of the van der Waals Force","year":2017,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Cold Atom Physics and Bose-Einstein Condensates","field":"Physics and Astronomy","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"van der Waals force; Range (aeronautics); Hamaker constant; Mathematics; Statistical physics; Classical mechanics; Physics; Van der Waals radius; Quantum mechanics; Aerospace engineering; Engineering; Molecule","retraction":null,"screen_n_in":null,"score":{"opus":0.03504689483071892,"gpt":0.2930517490306266,"spread":0.2580048541999077,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009142244,0.0001134696,0.0001758188,0.00001450743,0.0006518818,0.00009212008,0.00101087,0.00002920703,0.000041095],"category_scores_gemma":[0.000004807884,0.0000794072,0.00007474701,0.00003664329,0.0002130843,0.00004461693,0.0004837674,0.0001367901,0.00001224046],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004719864,"about_ca_system_score_gemma":0.00001756141,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000837749,"about_ca_topic_score_gemma":0.00001201506,"domain_scores_codex":[0.9994898,0.000009133495,0.000193959,0.0001001361,0.0001031132,0.0001038553],"domain_scores_gemma":[0.997106,0.0001112225,0.000270616,0.002438277,0.00004182555,0.00003203658],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000001578792,0.000429056,0.005909345,0.00003535716,0.00004927578,4.957784e-8,0.0005214649,0.000001827976,0.002138192,0.9628162,0.000151787,0.02794589],"study_design_scores_gemma":[0.002114982,0.00008035683,0.0454803,0.0005626471,0.0009247502,0.000002664887,0.001911696,0.001415699,0.07372116,0.8597327,0.01303625,0.00101671],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8289865,0.0001651408,0.001094906,0.001107505,0.000047364,0.0008812058,0.00006968375,0.00002282932,0.1676249],"genre_scores_gemma":[0.9974003,0.00001574146,0.001785201,0.0000333203,0.00003103043,0.0001166303,0.000007504771,0.00001398558,0.0005963212],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1684138,"threshold_uncertainty_score":0.5013813,"prediction_status":"machine_predicted_unvalidated"},"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,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"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","retraction":null,"screen_n_in":null,"score":{"opus":0.1053593729137196,"gpt":0.3289256160429794,"spread":0.2235662431292598,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001296493,0.0001655103,0.0004078236,0.0003179089,0.0002151488,0.00004857496,0.0008077054,0.00009686993,0.00002467281],"category_scores_gemma":[0.0002844956,0.0001134991,0.00008834623,0.002018471,0.0001118762,0.00003517715,0.0004073042,0.0002973589,0.00004433342],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002656557,"about_ca_system_score_gemma":0.0000393229,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003302357,"about_ca_topic_score_gemma":0.00005122873,"domain_scores_codex":[0.9986811,0.00004506594,0.0005810519,0.0001733511,0.000305238,0.0002141864],"domain_scores_gemma":[0.9963884,0.001464348,0.000234005,0.001798555,0.00006567249,0.00004905104],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000120476,0.00095037,0.0001505458,0.0003947222,0.0001111351,0.000001256348,0.007056531,0.0002498961,0.002643673,0.9687659,0.009086408,0.01057749],"study_design_scores_gemma":[0.002968249,0.0002155957,0.006233199,0.0009270019,0.0004678273,0.00001701462,0.03445662,0.3168938,0.001883011,0.5971872,0.03750411,0.001246418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9403574,0.0008532152,0.001589177,0.002760998,0.00005349607,0.001209675,0.0000212858,0.0001705159,0.05298419],"genre_scores_gemma":[0.9747239,0.0003116064,0.02446152,0.0001383923,0.00001646102,0.0001526399,0.00001464853,0.00002541589,0.0001554496],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3715788,"threshold_uncertainty_score":0.462836,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963250704","doi":"10.1002/cpa.21647","title":"Systematic Measures of Biological Networks I: Invariant Measures and Entropy","year":2016,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Gene Regulatory Network Analysis","field":"Biochemistry, Genetics and Molecular Biology","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Attractor; Mathematics; Ordinary differential equation; Dissipative system; Applied mathematics; Statistical physics; Entropy (arrow of time); White noise; Differential equation; Mathematical analysis; Statistics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.03704488370634303,"gpt":0.2472580025392408,"spread":0.2102131188328978,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004276237,0.0001438354,0.0003192463,0.0000416015,0.0001082358,0.00001643424,0.0003549363,0.0001366789,0.000002743641],"category_scores_gemma":[0.0001115135,0.0000874597,0.00005691452,0.00007908553,0.0002594556,0.000001944509,0.0002588753,0.00005603382,0.000002148741],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006234462,"about_ca_system_score_gemma":0.00001463247,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.428285e-7,"about_ca_topic_score_gemma":0.000006727694,"domain_scores_codex":[0.9991464,0.00008419475,0.0003508118,0.0001821254,0.0001078521,0.0001286206],"domain_scores_gemma":[0.9983318,0.0001596317,0.0001994903,0.001179714,0.00006565447,0.00006371894],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00007504855,0.0005984904,0.0008315577,0.001588592,0.001105553,5.382144e-7,0.0003519614,0.000213585,0.6853816,0.300467,0.001015168,0.008370889],"study_design_scores_gemma":[0.01540281,0.003968078,0.008559594,0.02142129,0.006976722,0.0004572791,0.008955954,0.02576205,0.6850553,0.1920442,0.0235658,0.007830889],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7409781,0.03100624,0.2200305,0.001632197,0.00005612401,0.002043396,0.00003612051,0.00007953341,0.004137813],"genre_scores_gemma":[0.987776,0.005068881,0.006934084,0.00005380014,0.00002544301,0.00007136564,0.00001176264,0.00001355674,0.00004515014],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2467979,"threshold_uncertainty_score":0.3566503,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3198779795","doi":"10.1002/cpa.22021","title":"The <scp>Continuous‐Time</scp> Lace Expansion","year":2021,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Random walk; Continuous-time random walk; Continuous function (set theory); Function (biology); Coupling (piping); Class (philosophy); Lattice (music); Statistical physics; Combinatorics; Computer science; Physics; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.03809887515556632,"gpt":0.3000297961284579,"spread":0.2619309209728916,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004269533,0.0002037666,0.00031451,0.00002840678,0.0007431792,0.0001656672,0.0006644473,0.0001140071,0.0000149209],"category_scores_gemma":[0.002298465,0.0001470473,0.00005563377,0.0002126879,0.00021096,0.00003158096,0.0004693821,0.0003290358,0.0001161674],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002043582,"about_ca_system_score_gemma":0.00006416116,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.70179e-7,"about_ca_topic_score_gemma":0.000008599171,"domain_scores_codex":[0.9987844,0.00004137821,0.0004173144,0.0002211187,0.0002634589,0.0002723448],"domain_scores_gemma":[0.9898481,0.007813248,0.000183521,0.001882511,0.0001679902,0.0001046101],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000001226948,0.0002464433,3.221687e-7,0.00009248916,0.00003131437,0.000001272748,0.0006298623,8.394943e-7,0.0008451301,0.9835871,0.006511256,0.008052773],"study_design_scores_gemma":[0.0002671929,0.0000377288,0.000002454614,0.0001093622,0.00009538544,0.0000249546,0.003750824,0.004766531,0.002142838,0.9713161,0.01740675,0.00007985982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01568963,0.004431617,0.7359685,0.006363723,0.0002026381,0.001642812,0.0001179809,0.0005746454,0.2350084],"genre_scores_gemma":[0.1551558,0.002731438,0.8294275,0.0008756179,0.0001162762,0.0005063734,0.00006542728,0.0001480877,0.0109735],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2240349,"threshold_uncertainty_score":0.5996415,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4210787966","doi":"10.1002/cpa.22040","title":"Generalized TAP Free Energy","year":2022,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Theoretical and Computational Physics","field":"Physics and Astronomy","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Spin glass; Ansatz; Replica; Spins; Mathematical physics; Quantum mechanics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.01473551793264716,"gpt":0.2374616671484303,"spread":0.2227261492157832,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007029605,0.00009663482,0.0001255458,0.00002709168,0.0004866902,0.00003027192,0.0006110427,0.00001118631,0.000262809],"category_scores_gemma":[0.000001724382,0.00009155347,0.0000421395,0.0001178373,0.0000899755,0.00001676568,0.0006859434,0.0001521284,0.00001194032],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009180312,"about_ca_system_score_gemma":0.00001673757,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003516463,"about_ca_topic_score_gemma":2.87947e-7,"domain_scores_codex":[0.9994752,0.00002530637,0.0001559001,0.000108792,0.0001344393,0.000100325],"domain_scores_gemma":[0.9987859,0.0001802532,0.00007162031,0.0009003239,0.00001824429,0.00004373029],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003406113,0.0003754091,0.000004699389,0.000003273999,0.00002398139,5.460362e-8,0.0001676769,0.0001945626,0.0001452837,0.9887146,0.001731399,0.008635661],"study_design_scores_gemma":[0.0002900558,0.00001864057,0.000007786109,0.000002486614,0.00002207582,6.687723e-7,0.0004640124,0.002923765,0.0002202491,0.975215,0.02072349,0.000111757],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0794022,0.0003748271,0.1194463,0.005141248,0.0001124842,0.0006585596,0.0004205655,0.0002085677,0.7942352],"genre_scores_gemma":[0.9802541,0.000006531157,0.01842408,0.0003491958,0.0000488029,0.0004161312,0.0001292988,0.00001529929,0.0003565252],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.900852,"threshold_uncertainty_score":0.3743277,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3155540517","doi":"10.1002/cpa.22133","title":"Shattering versus metastability in spin glasses","year":2023,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Theoretical and Computational Physics","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Metastability; Replica; Spin glass; Work (physics); Phase (matter); Mixing (physics); Symmetry (geometry); Spin (aerodynamics); Symmetry breaking; Condensed matter physics; Boundary (topology); Phase boundary; Physics; Statistical physics; Mathematics; Thermodynamics; Quantum mechanics; Geometry; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.04323153552317933,"gpt":0.3119100390387934,"spread":0.2686785035156141,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001252518,0.00008640367,0.0001281969,0.00004149195,0.00009899945,0.00003413821,0.0002536881,0.00001611023,0.00002947914],"category_scores_gemma":[0.000006515042,0.00007854665,0.00002796849,0.0002417367,0.00009187034,0.00003030764,0.0002140455,0.0001267674,0.00009766091],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007512254,"about_ca_system_score_gemma":0.00001099119,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002298965,"about_ca_topic_score_gemma":0.000001898506,"domain_scores_codex":[0.9995254,0.00001360233,0.0001645903,0.0001082403,0.00007657513,0.0001116493],"domain_scores_gemma":[0.9989266,0.0004787406,0.00004033388,0.0005075702,0.00001470605,0.00003201416],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000006317496,0.0001548784,0.00007161331,0.00001626867,0.00001366045,5.296799e-8,0.0002772576,0.0001648719,0.0001534385,0.9861351,0.00004863919,0.01295792],"study_design_scores_gemma":[0.0004418829,0.00001547012,0.000941986,0.00002668815,0.00001580348,7.80971e-8,0.001337388,0.006697788,0.0004660525,0.9892464,0.0006796052,0.0001308865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9093221,0.00002560674,0.005761502,0.001430446,0.00004089652,0.0003167968,0.00003729885,0.000105921,0.08295941],"genre_scores_gemma":[0.9936377,0.000006914859,0.006148595,0.00002400787,0.0000219917,0.00007646908,0.00005168005,0.000009209624,0.00002344047],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08431558,"threshold_uncertainty_score":0.320304,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2037427584","doi":"10.1002/cpa.21547","title":"Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann‐Hilbert Problem Approach","year":2014,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Singular value; Riemann hypothesis; Method of steepest descent; Singular value decomposition; Mathematical analysis; Singular solution; Matrix (chemical analysis); Hilbert transform; Order (exchange); Riemann–Hilbert problem; Pure mathematics; Eigenvalues and eigenvectors; Algorithm; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.01323386917632074,"gpt":0.2429087033873063,"spread":0.2296748342109856,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001237558,0.0001737532,0.000341851,0.00008477308,0.0002820147,0.00008286997,0.001254547,0.00006209803,0.000001378557],"category_scores_gemma":[0.00002125672,0.00009958689,0.00009638796,0.0002546826,0.0004766023,0.00007873829,0.0003086145,0.0002233396,0.000001216016],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006866565,"about_ca_system_score_gemma":0.00001382771,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000493081,"about_ca_topic_score_gemma":0.000002768729,"domain_scores_codex":[0.9988595,0.000165538,0.0004807517,0.0001853361,0.0001749762,0.0001338676],"domain_scores_gemma":[0.9969604,0.001255881,0.0002857418,0.0014045,0.00005655536,0.00003689233],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003602712,0.0002309055,0.000001034323,0.0001972197,0.00004726963,2.417603e-8,0.006069663,0.0000918183,0.0001779513,0.981243,0.00002520859,0.01187988],"study_design_scores_gemma":[0.001046703,0.0002027171,0.00001447793,0.0003256478,0.00007980336,0.00001324602,0.0002959698,0.146308,0.001878185,0.8489088,0.0007551131,0.0001713428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.007981091,0.0002643545,0.9432136,0.005389782,0.00001786289,0.001525752,0.00001130781,0.00005896664,0.04153727],"genre_scores_gemma":[0.6339888,0.00007654964,0.365513,0.0002447421,0.00000725265,0.0001268176,0.000008340211,0.000009853481,0.00002462568],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6260077,"threshold_uncertainty_score":0.4061036,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2994794447","doi":"10.1002/cpa.21815","title":"Ground State of the Conformal Flow on 𝕊<sup>3</sup>","year":2019,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Conformal map; Ground state; Mathematics; Invariant (physics); Degeneracy (biology); Flow (mathematics); Conformal symmetry; State (computer science); Stability (learning theory); Nonlinear system; Mathematical physics; Energy (signal processing); Mathematical analysis; Pure mathematics; Physics; Quantum mechanics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03793345722236487,"gpt":0.2904427107151991,"spread":0.2525092534928342,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003948251,0.000274213,0.0004833753,0.00006276264,0.0002131168,0.00004056309,0.00113815,0.00008418628,0.0000344471],"category_scores_gemma":[0.0001315467,0.0001883554,0.0001108607,0.0002402625,0.0003282294,0.00008994125,0.0005503107,0.0004673914,0.0001385201],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003671813,"about_ca_system_score_gemma":0.00003545609,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.052341e-7,"about_ca_topic_score_gemma":0.000001329548,"domain_scores_codex":[0.9984754,0.00003764026,0.0006335982,0.0002075471,0.0003858056,0.0002599643],"domain_scores_gemma":[0.9943939,0.001814762,0.000406899,0.003225901,0.00008679369,0.00007170915],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001304121,0.0005854718,0.000002306298,0.0004669122,0.00004949608,6.066756e-8,0.002282589,0.0007943994,0.0004495796,0.9914732,0.0003665438,0.003516415],"study_design_scores_gemma":[0.000524834,0.00007887639,0.000009645846,0.0002637222,0.00005150993,0.000003298503,0.0006185912,0.0157708,0.002163897,0.9793437,0.0009511274,0.0002200005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6087319,0.0001413722,0.02390075,0.002011422,0.00009715549,0.005078853,0.0001510291,0.0003263158,0.3595612],"genre_scores_gemma":[0.8655583,0.00006595146,0.1329024,0.0002947052,0.00001504407,0.0001264247,0.00001072133,0.00006775292,0.000958706],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3586025,"threshold_uncertainty_score":0.7680908,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962697832","doi":"10.1002/cpa.21651","title":"Systematic Measures of Biological Networks II: Degeneracy, Complexity, and Robustness","year":2016,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Gene Regulatory Network Analysis","field":"Biochemistry, Genetics and Molecular Biology","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Robustness (evolution); Degeneracy (biology); Mathematics; Attractor; Ordinary differential equation; Statistical physics; Entropy (arrow of time); Applied mathematics; Theoretical computer science; Computer science; Differential equation; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.06082422473632187,"gpt":0.2684225099610505,"spread":0.2075982852247287,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003369189,0.0001475836,0.0003336596,0.00004016418,0.0001930358,0.00001344938,0.0003947858,0.0001322868,0.000003381459],"category_scores_gemma":[0.00005258279,0.0000936496,0.00005541967,0.00008876358,0.0003973422,0.000002081604,0.0005071159,0.00005444878,9.271768e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005854074,"about_ca_system_score_gemma":0.00001235255,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.625069e-7,"about_ca_topic_score_gemma":0.00001167531,"domain_scores_codex":[0.9991742,0.00006705587,0.0003503395,0.000186229,0.00009253161,0.0001296031],"domain_scores_gemma":[0.9983374,0.0001207997,0.0002018008,0.001209185,0.00006945481,0.00006130483],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0001165358,0.001825026,0.001571898,0.005240467,0.001789628,7.900384e-7,0.0005578556,0.003627755,0.4538207,0.5133284,0.002352488,0.01576846],"study_design_scores_gemma":[0.01832385,0.005444433,0.01096009,0.02874671,0.007381425,0.0006659409,0.00894347,0.1813889,0.5500762,0.1635833,0.01358076,0.01090492],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9007909,0.008283149,0.08857149,0.0005325754,0.00001952805,0.0006156986,0.00001546874,0.00002764245,0.001143565],"genre_scores_gemma":[0.9803736,0.002932683,0.01646462,0.00003630377,0.00002646255,0.00006550994,0.00002260116,0.00001425568,0.00006392882],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3497451,"threshold_uncertainty_score":0.381892,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964306011","doi":"10.1002/cpa.21822","title":"A Study of the Direct Spectral Transform for the Defocusing Davey‐Stewartson II Equation the Semiclassical Limit","year":2019,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Austrian Science Fund; Helsingin Yliopisto; Agence Nationale de la Recherche; National Science Foundation","keywords":"Semiclassical physics; WKB approximation; Eikonal equation; Mathematics; Limit (mathematics); Mathematical analysis; Eikonal approximation; Nonlinear system; Quantum mechanics; Physics; Quantum","retraction":null,"screen_n_in":null,"score":{"opus":0.09447403968430786,"gpt":0.3256008640429686,"spread":0.2311268243586608,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008383126,0.0002437963,0.0004088829,0.00003294806,0.0008852843,0.00005537313,0.001304773,0.0000791846,0.00000710498],"category_scores_gemma":[0.0002170714,0.0001191301,0.0001405952,0.000286508,0.0002582186,0.00007235503,0.0004160343,0.0004060511,0.000006088469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004599591,"about_ca_system_score_gemma":0.0000349431,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001524985,"about_ca_topic_score_gemma":0.00003434187,"domain_scores_codex":[0.9985017,0.00006332873,0.0006102837,0.0002152496,0.0003684398,0.0002409945],"domain_scores_gemma":[0.9909009,0.005794544,0.0003998052,0.002784053,0.00008516418,0.0000355869],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002158363,0.001689365,0.000004996251,0.000238142,0.000120746,2.425673e-8,0.01401933,0.0002745732,0.001203709,0.9791513,0.0002884298,0.002987778],"study_design_scores_gemma":[0.0008729922,0.0002257847,0.00001652876,0.0001551937,0.0003625708,0.000003295597,0.008042026,0.009229976,0.00428916,0.9756891,0.0009155447,0.000197836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7407639,0.0005299798,0.1215118,0.01939819,0.0002506167,0.02754629,0.00008199892,0.0003251326,0.08959209],"genre_scores_gemma":[0.9783574,0.00004141212,0.02051936,0.00009932666,0.00003028774,0.0005927934,0.000003283508,0.00005094801,0.000305162],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2375935,"threshold_uncertainty_score":0.680898,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3209514728","doi":"10.1002/cpa.22024","title":"<scp>Sub‐Gaussian</scp> Matrices on Sets: Optimal Tail Dependence and Applications","year":2021,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Restricted isometry property; Gaussian; Mathematics; Compressed sensing; Isometry (Riemannian geometry); Random matrix; Norm (philosophy); Gaussian process; Gaussian random field; Discrete mathematics; Algorithm; Pure mathematics; Eigenvalues and eigenvectors","retraction":null,"screen_n_in":null,"score":{"opus":0.02292612616357666,"gpt":0.2544281375069877,"spread":0.2315020113434111,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008062245,0.0001730917,0.0001956808,0.00007516744,0.0002406323,0.0001113804,0.000339114,0.0001026604,0.000002135019],"category_scores_gemma":[0.00002206079,0.0001713933,0.00002710374,0.0001997748,0.00009233526,0.00004686202,0.000192496,0.0002694227,0.00002858567],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001688864,"about_ca_system_score_gemma":0.00001423993,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.351945e-7,"about_ca_topic_score_gemma":0.000003696586,"domain_scores_codex":[0.999321,0.00001376478,0.0002135068,0.0001775715,0.00011964,0.0001545159],"domain_scores_gemma":[0.9981784,0.0004217901,0.00006048368,0.001225315,0.00004316538,0.00007081415],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.000002875487,0.0006167179,0.00002357569,0.0003681098,0.0001711871,0.000007386548,0.001646475,0.002212278,0.0265813,0.8979468,0.01263249,0.05779079],"study_design_scores_gemma":[0.00125079,0.0001764856,0.0003979789,0.001243863,0.0004826842,0.0003135182,0.007731581,0.1042109,0.4533213,0.2196424,0.2100982,0.001130275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3281079,0.0208464,0.251067,0.001467169,0.00009995423,0.00250605,0.0001517503,0.003506706,0.3922472],"genre_scores_gemma":[0.8430116,0.006941646,0.1493546,0.0001865076,0.00003156233,0.0002908941,0.00004348669,0.00004891512,0.00009082312],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6783044,"threshold_uncertainty_score":0.6989214,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3039557128","doi":"10.1002/cpa.22081","title":"Universality for the Conjugate Gradient and MINRES Algorithms on Sample Covariance Matrices","year":2022,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Krylov subspace; Conjugate gradient method; Universality (dynamical systems); Covariance; Applied mathematics; Conjugate residual method; Central limit theorem; Estimation of covariance matrices; Positive-definite matrix; Covariance matrix; Iterative method; Eigenvalues and eigenvectors; Algorithm; Gradient descent; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.07578117610682038,"gpt":0.3235498809088317,"spread":0.2477687048020113,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0006911576,0.0001681036,0.0002477443,0.00006159989,0.001855086,0.00008664082,0.0007020784,0.00003829224,0.00002116653],"category_scores_gemma":[0.00009958846,0.0001264088,0.00005698754,0.0002227755,0.0001869703,0.00002989672,0.0004090907,0.0002370058,0.000003174339],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003523124,"about_ca_system_score_gemma":0.00002169119,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001126427,"about_ca_topic_score_gemma":0.00001217383,"domain_scores_codex":[0.9990484,0.00004339403,0.0003087602,0.0002196844,0.0001898441,0.0001899248],"domain_scores_gemma":[0.9918887,0.006396027,0.0002509979,0.001366318,0.00004186736,0.00005606324],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003121729,0.0003332106,0.000002619295,0.00009029898,0.00005061529,8.510629e-8,0.001114947,0.0000615643,0.00003510076,0.9905695,0.003305211,0.004405569],"study_design_scores_gemma":[0.001459594,0.0001443071,0.00003390708,0.00002977695,0.0002576601,0.00001029311,0.006631298,0.01653448,0.0001175239,0.8319435,0.1425461,0.0002915534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.140906,0.009557717,0.6941751,0.08177306,0.0004379108,0.02368626,0.005631937,0.001139568,0.04269252],"genre_scores_gemma":[0.5885795,0.002724746,0.4032142,0.0009135702,0.00007468565,0.003735439,0.0001088131,0.00007789995,0.0005711169],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4476735,"threshold_uncertainty_score":0.9994444,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}