{"meta":{"query_hash":"9924c8ac3d8a","filters":{"topic":"Advanced Differential Equations and Dynamical Systems"},"cohort_total":518,"direct_labels_cover":0,"predictions_cover":518,"exported":518,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/9924c8ac3d8a","api":"https://metacan.xera.ac/api/v1/cohort?topic=Advanced+Differential+Equations+and+Dynamical+Systems"},"results":[{"id":"W102778813","doi":"","title":"On regular cayley maps with alternating power functions","year":2007,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics","score_opus":0.015813496468458782,"score_gpt":0.27424119799893215,"score_spread":0.25842770153047334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W102778813","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6166609,0.0023072022,0.20213653,0.0023754085,0.0010451573,0.000097746815,0.0003213969,0.0006246751,0.1744309],"genre_scores_gemma":[0.9086631,0.0018636348,0.025408998,0.0006757792,0.0011205032,0.00011615272,0.00031813176,0.00024358695,0.06159016],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994667,0.00015859507,0.000027778491,0.00010442592,0.00014500911,0.00009755739],"domain_scores_gemma":[0.9982603,0.00076608965,0.00025479167,0.00016091469,0.00023921952,0.00031865394],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094132626,0.0014442751,0.0010575379,0.003281526,0.0019832775,0.0033826625,0.0011885212,0.001558208,0.006918569],"category_scores_gemma":[0.0035654285,0.0006664606,0.00089194905,0.0020814836,0.003908271,0.0054409727,0.0021403723,0.0024526978,0.0010425434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011554573,0.000008634059,0.00006854798,0.000012273906,0.0000035454655,0.000059757942,0.00012592798,0.0005577973,0.00030953964,0.9966372,0.00037854566,0.0018265896],"study_design_scores_gemma":[0.000008260252,0.000009145628,0.00006941665,0.000004876436,0.0000041394574,0.00006524207,0.00004128216,0.003515963,0.0001568734,0.9947784,0.0013385629,0.000007866135],"about_ca_topic_score_codex":0.001411258,"about_ca_topic_score_gemma":0.001593199,"teacher_disagreement_score":0.006918569,"about_ca_system_score_codex":0.0014973874,"about_ca_system_score_gemma":0.00055507396,"threshold_uncertainty_score":0.02314496},"labels":[],"label_agreement":null},{"id":"W1055287694","doi":"10.1007/s10474-015-0530-9","title":"Addendum to: Unimodularity of zeros of self-inversive polynomials","year":2015,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Addendum; Mathematics; Combinatorics; Pure mathematics; Linguistics","score_opus":0.07950749261612437,"score_gpt":0.34107093245373926,"score_spread":0.2615634398376149,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1055287694","genre_codex":"editorial","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019069796,0.010104076,0.029855508,0.05330451,0.45690358,0.00032379772,0.005443838,0.0029443456,0.42205048],"genre_scores_gemma":[0.18733655,0.011868611,0.013207074,0.0072429865,0.25158754,0.00048476027,0.007515439,0.0024769949,0.5182801],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979929,0.00027968688,0.00016316668,0.00058608456,0.0007305611,0.0002476802],"domain_scores_gemma":[0.98625386,0.0062390096,0.00089351065,0.0010886942,0.003641937,0.0018828923],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017662336,0.0030729147,0.0025426622,0.0045396034,0.0017187946,0.00466013,0.004342718,0.0021589294,0.25089076],"category_scores_gemma":[0.019136438,0.00071173516,0.0019203018,0.0041586957,0.0018348589,0.0039882776,0.0038867781,0.0026453526,0.04769975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005947479,0.00023804588,0.0010829351,0.001585946,0.00018454273,0.0010293885,0.0002523846,0.0018490518,0.0030345232,0.12385402,0.75288844,0.113405965],"study_design_scores_gemma":[0.00022141135,0.00039801607,0.009610942,0.00037029845,0.00037200062,0.0026434262,0.00031421246,0.011158529,0.006126013,0.24032636,0.7280819,0.00037685072],"about_ca_topic_score_codex":0.0014538303,"about_ca_topic_score_gemma":0.0019518704,"teacher_disagreement_score":0.25089076,"about_ca_system_score_codex":0.002373437,"about_ca_system_score_gemma":0.0018539593,"threshold_uncertainty_score":0.8393132},"labels":[],"label_agreement":null},{"id":"W108036156","doi":"10.1007/978-0-387-21690-4_6","title":"Integral Basis, Discriminant","year":2001,"lang":"en","type":"book-chapter","venue":"Universitext","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Discriminant; Mathematics; Algebraic number field; Cyclotomic field; Ring of integers; Abelian group; Algebraic number; Basis (linear algebra); Ring (chemistry); Field (mathematics); Quadratic equation; Pure mathematics; Root (linguistics); Root of unity; Algebra over a field; Discrete mathematics; Computer science; Mathematical analysis; Geometry; Physics; Artificial intelligence; Philosophy","score_opus":0.04743443204804296,"score_gpt":0.2685995640447632,"score_spread":0.22116513199672025,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W108036156","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008382038,0.032292116,0.023174597,0.0041973433,0.0031190251,0.000028615505,0.00035521985,0.00038671348,0.9280643],"genre_scores_gemma":[0.28812712,0.032172725,0.025444964,0.002293185,0.010279464,0.00015443558,0.00090777525,0.00063404604,0.6399863],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9997876,0.000035573325,0.000008366832,0.000055259752,0.000093016846,0.000020237472],"domain_scores_gemma":[0.99987626,0.00003609846,0.000010944484,0.000022377119,0.000037880574,0.000016384176],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042456778,0.0011210527,0.000858321,0.0027840554,0.0015879733,0.003937367,0.0009077784,0.00088086014,0.015469994],"category_scores_gemma":[0.00095663016,0.0004177815,0.0002809525,0.0026231494,0.0025574276,0.0052116094,0.0011071248,0.004111007,0.0050483975],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000083404375,0.000025832112,0.000042373613,0.00007419635,0.0000028147167,0.00001849024,0.0001835635,0.00012160017,0.00036692328,0.93294585,0.034273215,0.031936828],"study_design_scores_gemma":[0.0000074130626,0.0000073989013,0.00021209533,0.000033858865,0.000005198648,0.00013858416,0.00007020954,0.00044705343,0.00016618271,0.8734879,0.12541744,0.0000067356395],"about_ca_topic_score_codex":0.0014155781,"about_ca_topic_score_gemma":0.001623348,"teacher_disagreement_score":0.015469994,"about_ca_system_score_codex":0.0020294597,"about_ca_system_score_gemma":0.0007776779,"threshold_uncertainty_score":0.05175233},"labels":[],"label_agreement":null},{"id":"W1481130024","doi":"10.1109/iscas.1998.704021","title":"On stability robustness of discrete-time systems: the complex-variable approach of Mastorakis","year":2002,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Robustness (evolution); Mathematics; Polynomial; Transfer function; Stability theorem; Unit disk; Variable (mathematics); Discrete time and continuous time; Boundary (topology); Discrete mathematics; Mathematical analysis; Combinatorics","score_opus":0.08971704097992154,"score_gpt":0.2793580735634313,"score_spread":0.18964103258350973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1481130024","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02194233,0.0037608778,0.96296936,0.00064601906,0.00015406382,0.000027150709,0.000057749425,0.00009371448,0.010348759],"genre_scores_gemma":[0.93869025,0.004679261,0.051984005,0.00031582767,0.0005070873,0.000112420224,0.000060777944,0.00007301503,0.0035773169],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986426,0.0005204671,0.00006294528,0.0002421002,0.0004351927,0.0000965944],"domain_scores_gemma":[0.99476826,0.003788896,0.0004605524,0.00038493422,0.000485144,0.000112163514],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033142383,0.0011846799,0.0010314987,0.0016867057,0.00046867327,0.0015050948,0.001034792,0.00097619125,0.0015803485],"category_scores_gemma":[0.009529657,0.0002660065,0.0010474115,0.0009423223,0.0024664763,0.0023643607,0.0018393875,0.0020165865,0.0003321464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028887813,0.000045175904,0.00088161306,0.00036171408,0.00012209678,0.00029574728,0.00036672864,0.23469023,0.0138710495,0.7061207,0.0015663372,0.041389808],"study_design_scores_gemma":[0.00002357155,0.00018139803,0.00063139095,0.00006938683,0.000044391734,0.00012292208,0.00004558848,0.8116602,0.004420676,0.17805533,0.0047013573,0.00004378243],"about_ca_topic_score_codex":0.0007781675,"about_ca_topic_score_gemma":0.0003390732,"teacher_disagreement_score":0.0033142383,"about_ca_system_score_codex":0.0009964159,"about_ca_system_score_gemma":0.00030644928,"threshold_uncertainty_score":0.01752758},"labels":[],"label_agreement":null},{"id":"W1488158465","doi":"10.1016/s0022-4049(02)00334-1","title":"On locally nilpotent derivations of k[X1,X2,Y]/(ϕ(Y)−X1X2)","year":2003,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Locally nilpotent; Nilpotent; Polynomial; Zero (linguistics); Pure mathematics; Nilpotent group; Combinatorics; Set (abstract data type); Discrete mathematics; Mathematical analysis","score_opus":0.019948074144457144,"score_gpt":0.26637522370479627,"score_spread":0.24642714956033912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1488158465","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85582715,0.0010725941,0.03994689,0.0012328781,0.0004992878,0.00009681526,0.0002773514,0.00033567092,0.10071133],"genre_scores_gemma":[0.9627136,0.0004878824,0.0049121683,0.0002498368,0.000215078,0.000033895125,0.00016334333,0.0001943585,0.031029835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936384,0.0001231363,0.000040562656,0.00011215357,0.00017816074,0.00018222316],"domain_scores_gemma":[0.9987739,0.0002673525,0.00021150876,0.000111201305,0.00026178165,0.00037428108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007667884,0.0009319285,0.0009157896,0.002631834,0.004271062,0.0030608212,0.001215814,0.0011663124,0.007965574],"category_scores_gemma":[0.0021097702,0.0005503894,0.0007769505,0.0014322945,0.0035810613,0.0052331416,0.0037781387,0.002412867,0.0017764905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011231629,0.00005480304,0.0005236981,0.000052497395,0.000019195306,0.0006584417,0.0013441737,0.00066061824,0.0034566848,0.986821,0.0007347942,0.0055618756],"study_design_scores_gemma":[0.000030850973,0.00005215646,0.00066551985,0.00002499918,0.000013698042,0.0004274397,0.00038822187,0.001845244,0.0020939845,0.9915623,0.0028615124,0.000034181565],"about_ca_topic_score_codex":0.000988856,"about_ca_topic_score_gemma":0.0012579561,"teacher_disagreement_score":0.007965574,"about_ca_system_score_codex":0.0017894973,"about_ca_system_score_gemma":0.0010608551,"threshold_uncertainty_score":0.026647449},"labels":[],"label_agreement":null},{"id":"W1499489219","doi":"10.1023/a:1024643521094","title":"Normalizable, Integrable, and Linearizable Saddle Points for Complex Quadratic Systems in $$\\mathbb{C}^2 $$","year":2003,"lang":"en","type":"article","venue":"Journal of Dynamical and Control Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":101,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Integrable system; Context (archaeology); Pure mathematics; Eigenvalues and eigenvectors; Dynamical systems theory; Polynomial; Linearizability; Bifurcation; Saddle point; Mathematical analysis; Geometry","score_opus":0.030526530291617553,"score_gpt":0.2868043811387312,"score_spread":0.25627785084711363,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1499489219","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68034744,0.0007718536,0.24775721,0.0036057106,0.00036831107,0.00012066479,0.00031675634,0.00037468274,0.06633739],"genre_scores_gemma":[0.9708985,0.00027252454,0.009810623,0.00025768098,0.00018154118,0.00009703577,0.0001910827,0.00014202212,0.01814903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997415,0.00006638046,0.000012468368,0.000048420185,0.00007807006,0.000053147633],"domain_scores_gemma":[0.9993753,0.00017978685,0.00012164336,0.00005388459,0.000118023636,0.0001513355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068916706,0.00085625757,0.0010072542,0.0012968236,0.0013140329,0.0028513882,0.0013591277,0.001549368,0.0065473677],"category_scores_gemma":[0.0024238764,0.00047328396,0.00074790674,0.0004882868,0.0029158776,0.0024508366,0.0018755391,0.00172129,0.00053961744],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055034154,0.00006351596,0.0004063467,0.000033322394,0.000024419463,0.0001397469,0.00016254766,0.018929409,0.0017679292,0.97374856,0.0016913337,0.0029778704],"study_design_scores_gemma":[0.00004380627,0.000026021695,0.00039449983,0.000009152289,0.0000075514413,0.00007566021,0.00010287678,0.201447,0.00023461599,0.7969713,0.00066290464,0.000024550534],"about_ca_topic_score_codex":0.0024693673,"about_ca_topic_score_gemma":0.0023603353,"teacher_disagreement_score":0.0065473677,"about_ca_system_score_codex":0.0011441926,"about_ca_system_score_gemma":0.00085467857,"threshold_uncertainty_score":0.021903098},"labels":[],"label_agreement":null},{"id":"W1519865716","doi":"10.1109/cdc.1992.371161","title":"Second order necessity and sufficiency theory for the free final time problem","year":2005,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Order (exchange); Computer science; Point (geometry); Riccati equation; Control (management); Conjugate; Mathematical optimization; Mathematics; Applied mathematics; Mathematical economics; Artificial intelligence; Partial differential equation","score_opus":0.02962376029648437,"score_gpt":0.2931414395614551,"score_spread":0.2635176792649707,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1519865716","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.049089015,0.0015491608,0.8420418,0.00460085,0.0004315159,0.00015363957,0.00040502616,0.00020304615,0.10152593],"genre_scores_gemma":[0.8552105,0.0020831893,0.106990136,0.0012546567,0.00073079905,0.0004858619,0.0008491375,0.00024420224,0.032151695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99803036,0.0006383505,0.00013283732,0.00030476617,0.00055049115,0.00034314278],"domain_scores_gemma":[0.99171525,0.005251697,0.00056216243,0.0004801815,0.0015580137,0.00043265696],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004341168,0.0010242527,0.0009246877,0.002546529,0.0013530956,0.0024775467,0.0015494131,0.0018794825,0.012642305],"category_scores_gemma":[0.009630751,0.0005703024,0.0021839652,0.0010513439,0.003999374,0.0053891335,0.0025237459,0.004047072,0.0011942948],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008435443,0.000014166387,0.00012358648,0.000039941882,0.000007716541,0.000074976364,0.000080759724,0.0022436127,0.00027464237,0.9942451,0.001210165,0.0016767551],"study_design_scores_gemma":[0.000013544377,0.00002584887,0.00024612335,0.00004101191,0.000012425084,0.00010272293,0.00008769616,0.027995722,0.0005369326,0.96619916,0.004721874,0.000016911912],"about_ca_topic_score_codex":0.0012868508,"about_ca_topic_score_gemma":0.0011051418,"teacher_disagreement_score":0.012642305,"about_ca_system_score_codex":0.0019293076,"about_ca_system_score_gemma":0.0023327088,"threshold_uncertainty_score":0.042292714},"labels":[],"label_agreement":null},{"id":"W1527711299","doi":"10.1023/a:1016309403447","title":"The Applications of a Modified Normal Form Approach","year":2001,"lang":"en","type":"article","venue":"Applied Mathematics and Mechanics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Maple; Chen; Zhàng; Computer science; Mathematics; Algebra over a field; Pure mathematics; Calculus (dental); Medicine","score_opus":0.028385171821591653,"score_gpt":0.26763787074691087,"score_spread":0.23925269892531922,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1527711299","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.028122192,0.0034033533,0.80946213,0.004338928,0.0027779045,0.00006814845,0.0001251607,0.00028731287,0.15141492],"genre_scores_gemma":[0.57431895,0.0063818833,0.26154462,0.0015401278,0.0050647445,0.00015983637,0.0002572966,0.0006599331,0.15007257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999005,0.00039274464,0.00005371519,0.00015148718,0.00033088,0.000066237815],"domain_scores_gemma":[0.9987451,0.00035699128,0.00012491088,0.00026541913,0.00037422392,0.000133353],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012987896,0.0008823268,0.00086893514,0.00218959,0.0010777618,0.0019030754,0.0016188063,0.001611131,0.008760427],"category_scores_gemma":[0.004516001,0.00037206034,0.0012589296,0.0013691853,0.0028743506,0.004714911,0.0026758322,0.002117877,0.0016043184],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005745615,0.000008152905,0.000049370214,0.000019030738,0.000004886966,0.000038630875,0.00006359401,0.0014769301,0.00033174802,0.9888364,0.0010644778,0.008101037],"study_design_scores_gemma":[0.0000032608766,0.000009973268,0.000058438876,0.0000072176585,0.000002526738,0.00009179209,0.00001725795,0.017375179,0.00013208912,0.9741761,0.008117444,0.0000087315275],"about_ca_topic_score_codex":0.0012844232,"about_ca_topic_score_gemma":0.0011678665,"teacher_disagreement_score":0.008760427,"about_ca_system_score_codex":0.0010039313,"about_ca_system_score_gemma":0.0006488959,"threshold_uncertainty_score":0.029306531},"labels":[],"label_agreement":null},{"id":"W1528767778","doi":"","title":"Jacobian loops dynamics","year":2002,"lang":"es","type":"article","venue":"Revista Mexicana de Física","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Jacobian matrix and determinant; Dynamics (music); Permutation (music); Differential (mechanical device); Order (exchange); Mathematics; Control theory (sociology); Pure mathematics; Computer science; Applied mathematics; Physics; Artificial intelligence","score_opus":0.030427697133292346,"score_gpt":0.2836944303061431,"score_spread":0.25326673317285076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1528767778","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1051723,0.0011890214,0.55617595,0.0014028058,0.0006480832,0.00015938283,0.00045391434,0.00059846166,0.33420014],"genre_scores_gemma":[0.90662575,0.0010229462,0.035382412,0.00024577323,0.00033476297,0.00013677358,0.00020294815,0.00020403824,0.055844627],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997992,0.000023394528,0.000008731415,0.00005581919,0.000081241385,0.00003164033],"domain_scores_gemma":[0.9997725,0.000044201355,0.00005623285,0.000024230281,0.00006261728,0.000040214527],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019197656,0.0005415025,0.00026444122,0.0008269969,0.0005944807,0.0013890829,0.00051056687,0.0004710291,0.01319391],"category_scores_gemma":[0.0010097558,0.00013220626,0.00044539289,0.000365821,0.0012607151,0.0019505407,0.0008427416,0.0006108301,0.0014561628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000792584,0.000012001252,0.00017173523,0.000029066376,0.000005970324,0.000112753,0.00014831677,0.00779066,0.00439689,0.9803741,0.0011891924,0.0057613538],"study_design_scores_gemma":[0.000014054337,0.000059668047,0.00053385337,0.000019654472,0.0000121268085,0.0003413156,0.00014887317,0.0808787,0.0034368206,0.88561916,0.028909842,0.000025943556],"about_ca_topic_score_codex":0.001075388,"about_ca_topic_score_gemma":0.0005956049,"teacher_disagreement_score":0.01319391,"about_ca_system_score_codex":0.000550167,"about_ca_system_score_gemma":0.00039809788,"threshold_uncertainty_score":0.044138014},"labels":[],"label_agreement":null},{"id":"W1535604086","doi":"10.1090/s0002-9939-00-05558-1","title":"A note on triangular derivations of 𝐤[𝐗₁,𝐗₂,𝐗₃,𝐗₄]","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Integer (computer science); Zero (linguistics); Mathematics; Field (mathematics); Combinatorics; Ring (chemistry); Finitely-generated abelian group; Physics; Pure mathematics; Chemistry","score_opus":0.021575947345365037,"score_gpt":0.30208080182432584,"score_spread":0.2805048544789608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1535604086","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006114251,0.0024533102,0.51453346,0.00775088,0.0062803836,0.00012191247,0.0012507241,0.0024717276,0.45902342],"genre_scores_gemma":[0.2730164,0.005361281,0.4428289,0.01008959,0.0031219136,0.0004472344,0.0030277302,0.0065146955,0.25559232],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9979923,0.0007956839,0.00018179615,0.0004113702,0.00045929354,0.00015955047],"domain_scores_gemma":[0.9975674,0.0010459964,0.00007835388,0.00056726596,0.0006458982,0.00009514551],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024012146,0.00083419913,0.0006673847,0.0007591766,0.0022649912,0.0025949737,0.002141718,0.0010197422,0.04966571],"category_scores_gemma":[0.007881314,0.0006592102,0.0012268504,0.001717548,0.0023134549,0.008226837,0.003340485,0.004142343,0.021389578],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044259865,0.000010847526,0.00007936224,0.00008609778,0.0000069348794,0.00013964604,0.0004951718,0.00028847958,0.00054411247,0.93379164,0.04043773,0.024075737],"study_design_scores_gemma":[0.0000192559,0.000025752794,0.00012068647,0.000064923675,0.000013585374,0.00021806675,0.00017659635,0.0017265297,0.0017670105,0.7754817,0.22035275,0.000033103148],"about_ca_topic_score_codex":0.00575326,"about_ca_topic_score_gemma":0.0062359436,"teacher_disagreement_score":0.04966571,"about_ca_system_score_codex":0.0016827559,"about_ca_system_score_gemma":0.0012585507,"threshold_uncertainty_score":0.16614836},"labels":[],"label_agreement":null},{"id":"W1544761092","doi":"10.1090/crmp/054/15","title":"Automorphism groups of Koras–Russell threefolds of the first kind","year":2011,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Automorphism; Mathematics; Pure mathematics","score_opus":0.03643398779294715,"score_gpt":0.24647803447555583,"score_spread":0.21004404668260868,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1544761092","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55477923,0.0046839076,0.04886584,0.0013074696,0.00065340725,0.000075033335,0.00027922515,0.0006842153,0.38867167],"genre_scores_gemma":[0.95873797,0.0018305302,0.009629397,0.00010594765,0.00023035516,0.000041578423,0.00020353698,0.00007314757,0.029147502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99969375,0.000058704532,0.000016404558,0.00005450833,0.000118896125,0.000057678222],"domain_scores_gemma":[0.99976224,0.0000606951,0.00004275295,0.00005197308,0.000037340924,0.0000449681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028688007,0.00030864953,0.00035078553,0.0010384163,0.0007187116,0.0012963796,0.00027463134,0.00026219158,0.0022688424],"category_scores_gemma":[0.00056832965,0.00019768672,0.0007077388,0.0004079117,0.0022476623,0.001041906,0.0008678789,0.000798596,0.0005757548],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020769754,0.0000080336895,0.00041588818,0.000050215494,0.000006327842,0.00017181913,0.000651442,0.00089853443,0.0031930192,0.9785826,0.0014017018,0.014599496],"study_design_scores_gemma":[0.000015214468,0.00007471688,0.0023697626,0.00004139943,0.000011954141,0.0010830273,0.0003411235,0.0024968663,0.002535075,0.95433766,0.036664188,0.000029005505],"about_ca_topic_score_codex":0.0006155716,"about_ca_topic_score_gemma":0.0003433486,"teacher_disagreement_score":0.0022688424,"about_ca_system_score_codex":0.0007067904,"about_ca_system_score_gemma":0.00037036013,"threshold_uncertainty_score":0.0075900555},"labels":[],"label_agreement":null},{"id":"W1547166788","doi":"10.1007/s00023-003-0127-7","title":"The Jacobian Conjecture as a Problem of Perturbative Quantum Field Theory","year":2003,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of British Columbia; Centre National de la Recherche Scientifique","keywords":"Conjecture; Jacobian matrix and determinant; Mathematics; Quantum field theory; Field (mathematics); Point (geometry); Field theory (psychology); Theoretical physics; Quantum; Non-perturbative; Quantum gravity; Pure mathematics; Mathematical physics; Quantum mechanics; Physics; Applied mathematics; Geometry","score_opus":0.020525718204035804,"score_gpt":0.30286744131272864,"score_spread":0.2823417231086928,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1547166788","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47383624,0.004887407,0.071913585,0.086221896,0.0024694318,0.00006493363,0.00039141846,0.00059162936,0.3596234],"genre_scores_gemma":[0.9630045,0.0013817218,0.0062235557,0.0015110541,0.002741418,0.00003338426,0.00014997346,0.00010596362,0.02484844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999119,0.0002722642,0.00003548992,0.00015070512,0.0002936405,0.00012896603],"domain_scores_gemma":[0.99792296,0.0011808372,0.00016544855,0.00028151262,0.00022737702,0.00022196268],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001906689,0.00047626815,0.0013513789,0.0016512367,0.0033354992,0.0038499779,0.0016658732,0.0037455452,0.006386378],"category_scores_gemma":[0.005720843,0.000460724,0.00072320946,0.0014132283,0.007792394,0.011494347,0.0024652083,0.0042060628,0.0005498897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010500047,0.00001273507,0.00005134074,0.000015178118,0.0000022241993,0.00006052205,0.00013986546,0.0004837402,0.00011354824,0.9970458,0.0011556658,0.00090889324],"study_design_scores_gemma":[0.000007425085,0.0000018986177,0.000042643784,0.000002274822,0.0000011356437,0.000025510799,0.00002663454,0.001213158,0.000023392573,0.99803144,0.00062131166,0.0000031742752],"about_ca_topic_score_codex":0.0029380205,"about_ca_topic_score_gemma":0.0019301387,"teacher_disagreement_score":0.006386378,"about_ca_system_score_codex":0.0020901433,"about_ca_system_score_gemma":0.0011815312,"threshold_uncertainty_score":0.02136451},"labels":[],"label_agreement":null},{"id":"W156562375","doi":"10.1007/978-3-319-11707-2_2","title":"Local Dynamics of a Parabolic Germ","year":2014,"lang":"en","type":"book-chapter","venue":"SpringerBriefs in mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Germ; Infinity; Simple (philosophy); Mathematics; Dynamics (music); Parabolic partial differential equation; Mathematical analysis; Physics; Partial differential equation","score_opus":0.028093960473195227,"score_gpt":0.28222296470382124,"score_spread":0.254129004230626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W156562375","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37143594,0.0045195837,0.18064675,0.0071633384,0.0012433367,0.000079194826,0.0005268258,0.00053237285,0.4338526],"genre_scores_gemma":[0.82733506,0.0023126027,0.008499055,0.00046384215,0.00081100635,0.000068068344,0.00022352065,0.00021623535,0.16007061],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998555,0.000036772588,0.0000053377485,0.000032288943,0.00004698395,0.0000230337],"domain_scores_gemma":[0.9998746,0.000024194862,0.000016281612,0.000017390132,0.000025794328,0.000041712578],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031920878,0.00063779793,0.00047240034,0.00093708467,0.0009437954,0.0019113236,0.0006546411,0.0007079911,0.0073132524],"category_scores_gemma":[0.0005515213,0.00030770962,0.00049204443,0.0006201545,0.0020564378,0.0024575186,0.0021067876,0.0019553485,0.0009842499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010125613,0.000009514673,0.000055601136,0.000021034812,0.0000061692667,0.00005573253,0.00019531212,0.00077643624,0.001046943,0.9937039,0.0014688048,0.0026504768],"study_design_scores_gemma":[0.00001948865,0.00002738631,0.00024297507,0.000015950041,0.0000072763373,0.00016170077,0.0001427293,0.006293096,0.00042425527,0.98233575,0.010318683,0.000010685562],"about_ca_topic_score_codex":0.00076982495,"about_ca_topic_score_gemma":0.0003886301,"teacher_disagreement_score":0.0073132524,"about_ca_system_score_codex":0.0011536228,"about_ca_system_score_gemma":0.0003849561,"threshold_uncertainty_score":0.024465263},"labels":[],"label_agreement":null},{"id":"W1566433950","doi":"10.1090/s0002-9947-04-03615-3","title":"Graphs of zeros of analytic families","year":2004,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Discrete mathematics","score_opus":0.018669186743117544,"score_gpt":0.2815853694274084,"score_spread":0.26291618268429084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1566433950","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4191589,0.0018041746,0.22034715,0.003297166,0.0005631825,0.00015182554,0.0043799547,0.0028438165,0.34745386],"genre_scores_gemma":[0.90468514,0.00086363644,0.015975693,0.00047149352,0.00023222301,0.00014871133,0.0026660594,0.0008184422,0.07413861],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994624,0.000120448065,0.000023193414,0.00014574203,0.00013237604,0.000115795774],"domain_scores_gemma":[0.9978219,0.00091496436,0.00031062184,0.00020430905,0.00047329994,0.00027489982],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043060514,0.0007248797,0.0005483828,0.0041178237,0.001840341,0.0029727533,0.00081583194,0.0008246609,0.031733017],"category_scores_gemma":[0.0042929384,0.00047001502,0.00063246256,0.0017978067,0.0020597402,0.0033451603,0.0017302617,0.0011877583,0.0056855213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007207428,0.000014280627,0.00075503706,0.00010172278,0.000010930494,0.0002427761,0.00038276578,0.0010627197,0.0008615212,0.975195,0.00937483,0.011926343],"study_design_scores_gemma":[0.000024220613,0.000017948081,0.0010512897,0.000051068026,0.000014465492,0.0003149048,0.000469171,0.0035942327,0.0010054947,0.96750903,0.025922367,0.000025902287],"about_ca_topic_score_codex":0.0018977209,"about_ca_topic_score_gemma":0.0015659052,"teacher_disagreement_score":0.031733017,"about_ca_system_score_codex":0.0016095479,"about_ca_system_score_gemma":0.0003723836,"threshold_uncertainty_score":0.10615748},"labels":[],"label_agreement":null},{"id":"W1637302308","doi":"10.1090/s0002-9939-05-08006-8","title":"Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monotonic function; Hilbert space; Mathematics; Periodic orbits; Dynamical systems theory; Context (archaeology); Dimension (graph theory); Fixed point; Mathematical analysis; Pure mathematics; Nonlinear system; Space (punctuation); Dynamical system (definition); Physics; Computer science; Quantum mechanics","score_opus":0.02498069828446242,"score_gpt":0.29974161636362956,"score_spread":0.27476091807916714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1637302308","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6629185,0.0012347178,0.30660287,0.0006967177,0.000095022995,0.000091086535,0.0002783914,0.000097079086,0.027985536],"genre_scores_gemma":[0.9605401,0.0008641678,0.035018746,0.00006979332,0.000115492556,0.00011233234,0.00025839306,0.00003062946,0.002990327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946123,0.00014571795,0.00003834109,0.00010561639,0.00014802383,0.0001011524],"domain_scores_gemma":[0.99745125,0.0013232826,0.00034751138,0.00022898302,0.00042550178,0.000223478],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012213663,0.00038739192,0.00052566,0.0010064207,0.0008511798,0.00116271,0.00051804096,0.00049679563,0.002769751],"category_scores_gemma":[0.004431562,0.00029453562,0.0005435753,0.00045182504,0.0023111326,0.0038046986,0.0016474827,0.0013431732,0.00023927813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000714802,0.000030558396,0.0020292648,0.0001619491,0.000025184305,0.00044282063,0.00046173958,0.0053431457,0.009755167,0.9664542,0.0005561416,0.01466836],"study_design_scores_gemma":[0.000024237865,0.00012025334,0.0021170483,0.00004677428,0.00001704407,0.00080392836,0.00024897,0.06977762,0.0056922934,0.9184778,0.0026420904,0.00003206115],"about_ca_topic_score_codex":0.00030110052,"about_ca_topic_score_gemma":0.00021865196,"teacher_disagreement_score":0.002769751,"about_ca_system_score_codex":0.00035226948,"about_ca_system_score_gemma":0.00040024996,"threshold_uncertainty_score":0.009265721},"labels":[],"label_agreement":null},{"id":"W1673563564","doi":"10.48550/arxiv.1312.6473","title":"Mathematical models for geometric control theory","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Control (management); Computer science; Mathematical economics; Mathematics; Calculus (dental); Artificial intelligence","score_opus":0.12940481350045974,"score_gpt":0.23044082602893518,"score_spread":0.10103601252847544,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1673563564","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008517753,0.014756856,0.78823817,0.011242433,0.0008843102,0.00012300174,0.0005989229,0.00050484604,0.17513368],"genre_scores_gemma":[0.61035734,0.018887341,0.26536497,0.0037724013,0.0037648284,0.0010934819,0.0016094634,0.00049510394,0.09465506],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900764,0.0003848941,0.00004943366,0.00018431844,0.00030433753,0.00006934416],"domain_scores_gemma":[0.9991547,0.00038400348,0.000095272364,0.00016495028,0.0001476863,0.000053413805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012963649,0.0009517011,0.0008472396,0.0017485498,0.0011114294,0.0035586401,0.001298669,0.0016985954,0.010956115],"category_scores_gemma":[0.002293635,0.00030609392,0.001134398,0.0012557954,0.0054864585,0.0041235765,0.00195282,0.0033443242,0.0023484027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[8.20071e-7,0.0000017366402,0.000014109397,0.00001452214,0.0000019193399,0.0000082731885,0.00003718714,0.0011533715,0.000043076172,0.99650735,0.0006972985,0.0015202493],"study_design_scores_gemma":[0.0000021762087,0.0000053135063,0.000031051502,0.000016605412,0.0000014980174,0.000015808107,0.000027675173,0.004468121,0.00002920835,0.9720375,0.02336207,0.0000030836268],"about_ca_topic_score_codex":0.0022353013,"about_ca_topic_score_gemma":0.0014257786,"teacher_disagreement_score":0.010956115,"about_ca_system_score_codex":0.0029598032,"about_ca_system_score_gemma":0.0011665301,"threshold_uncertainty_score":0.03665185},"labels":[],"label_agreement":null},{"id":"W1689999126","doi":"10.1007/978-1-4614-6403-7_18","title":"Dynamics of Special Points on Intermediate Jacobians","year":2013,"lang":"en","type":"book-chapter","venue":"Fields Institute communications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Dynamics (music); Computer science; Psychology; Pedagogy","score_opus":0.07650140002479644,"score_gpt":0.3206310584679669,"score_spread":0.24412965844317047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1689999126","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33785397,0.0017451865,0.23611635,0.0015383412,0.00087013055,0.000108795735,0.00031930752,0.00047600194,0.42097184],"genre_scores_gemma":[0.8718399,0.0013949875,0.023520958,0.00018903351,0.00045132617,0.00008149381,0.00029180408,0.0002938788,0.10193651],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99982244,0.000027873897,0.000006587339,0.00003417276,0.000068305024,0.00004073602],"domain_scores_gemma":[0.99972254,0.00006697457,0.000038385326,0.00004663377,0.00006341569,0.000062106024],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029532716,0.0004899979,0.0004917943,0.0012943785,0.0009370923,0.0021144222,0.0008576575,0.0007457802,0.010765498],"category_scores_gemma":[0.0011118943,0.00031342483,0.0005975813,0.0005979414,0.0017360275,0.0024342362,0.0016021271,0.0017111347,0.0012398763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011661415,0.000012970548,0.000099295736,0.000020428277,0.000003720571,0.00007895104,0.00019052395,0.002334288,0.0011879741,0.9894336,0.0017795302,0.004847098],"study_design_scores_gemma":[0.000012267369,0.000022593162,0.0003359548,0.000017036007,0.0000036144195,0.00014824994,0.000121684745,0.015357782,0.0006223267,0.9753711,0.00797666,0.000010819022],"about_ca_topic_score_codex":0.0008394212,"about_ca_topic_score_gemma":0.0008543281,"teacher_disagreement_score":0.010765498,"about_ca_system_score_codex":0.00088213687,"about_ca_system_score_gemma":0.00034998235,"threshold_uncertainty_score":0.03601414},"labels":[],"label_agreement":null},{"id":"W173798632","doi":"","title":"Lectures on algebraic cycles","year":2001,"lang":"es","type":"article","venue":"Boletín de la Sociedad Matemática Mexicana","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Transcendental number; Algebraic number; Mathematics education; Algebra over a field; Point (geometry); Subject (documents); Pure mathematics; Library science; Computer science; Geometry","score_opus":0.01656893003296697,"score_gpt":0.3284913048539592,"score_spread":0.3119223748209923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W173798632","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.022464411,0.08331384,0.012916747,0.02497915,0.014426145,0.000037888432,0.0008406505,0.00022582279,0.84079546],"genre_scores_gemma":[0.3095012,0.050496567,0.00804373,0.0028782566,0.021254137,0.00011661687,0.0007743857,0.00025735883,0.6066778],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99974495,0.00006063926,0.000010403432,0.000067712266,0.00008028166,0.00003599366],"domain_scores_gemma":[0.99979895,0.0000557245,0.000014958308,0.000021069081,0.00004317236,0.00006612181],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046015982,0.00092314323,0.0005564423,0.0021029706,0.0016257765,0.0025887005,0.00039204085,0.0007157561,0.015983125],"category_scores_gemma":[0.000991012,0.00027546787,0.00039656577,0.002378453,0.0013328119,0.0020074197,0.001406913,0.0019275564,0.0028751378],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013804563,0.000015770058,0.00017444989,0.00007327925,0.0000089026,0.000034642766,0.00029340558,0.0002574897,0.00032968223,0.91515076,0.060441446,0.023206204],"study_design_scores_gemma":[0.0000102940785,0.00001885241,0.00094701647,0.0000897301,0.000013045664,0.00013943858,0.00010026014,0.00049357396,0.00020064508,0.49452645,0.50344884,0.00001190476],"about_ca_topic_score_codex":0.001955908,"about_ca_topic_score_gemma":0.0024615466,"teacher_disagreement_score":0.015983125,"about_ca_system_score_codex":0.0034378802,"about_ca_system_score_gemma":0.00096688,"threshold_uncertainty_score":0.053468883},"labels":[],"label_agreement":null},{"id":"W1852951723","doi":"","title":"以Bellman-Gronwall Inequality判斷雙線性回授控制系統穩定極限循環的存在性","year":2003,"lang":"zh","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"PID controller; Bilinear interpolation; Mathematics; Controller (irrigation); Chen; Mathematical economics; Pure mathematics; Discrete mathematics; Calculus (dental); Engineering; Mechanical engineering","score_opus":0.05799235829812695,"score_gpt":0.32615177083914915,"score_spread":0.2681594125410222,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1852951723","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0197066,0.06732478,0.63624465,0.025023317,0.0062643187,0.0003852526,0.0021948512,0.00042178048,0.24243443],"genre_scores_gemma":[0.5493599,0.08958048,0.19524983,0.0061781676,0.0054992153,0.0018828372,0.0033772872,0.0007124369,0.14815985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984529,0.00041871905,0.00007031829,0.0003174789,0.000535415,0.00020513489],"domain_scores_gemma":[0.9978465,0.0010357389,0.00020607625,0.00011660109,0.00067003025,0.00012512466],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029274945,0.001379398,0.0016313982,0.001372087,0.0010773846,0.002970828,0.0018816359,0.0016830427,0.016980598],"category_scores_gemma":[0.007350947,0.00044666862,0.0011192631,0.0016932269,0.0018093471,0.0046371864,0.002297466,0.0049264967,0.0045164144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022896075,0.000047944242,0.000806377,0.001165703,0.000064564585,0.0005085084,0.00027929823,0.009778033,0.0024096905,0.8386711,0.06473999,0.08129976],"study_design_scores_gemma":[0.00007840927,0.00021990907,0.001990601,0.0005555108,0.0001249677,0.0013854165,0.00029687653,0.14179754,0.0034277088,0.7089136,0.1410663,0.00014311954],"about_ca_topic_score_codex":0.0044240765,"about_ca_topic_score_gemma":0.0023211595,"teacher_disagreement_score":0.016980598,"about_ca_system_score_codex":0.0025447952,"about_ca_system_score_gemma":0.0022691502,"threshold_uncertainty_score":0.05680573},"labels":[],"label_agreement":null},{"id":"W1874825722","doi":"10.1090/tran/7205","title":"Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal","year":2017,"lang":"lv","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Ministerio de Ciencia y Tecnología","keywords":"Iterated function; Tangent; Vector field; Bounded function; Mathematics; Pencil (optics); Field (mathematics); Trajectory; Pure mathematics; Mathematical analysis; Geometry; Physics","score_opus":0.03485792288262574,"score_gpt":0.314548284763184,"score_spread":0.2796903618805583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1874825722","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43427446,0.0007455921,0.26354578,0.0013286875,0.00081003364,0.00018922433,0.0014773308,0.0026792162,0.29494962],"genre_scores_gemma":[0.845889,0.0006879884,0.055288542,0.00045404097,0.00017245338,0.00022600962,0.0020284841,0.002223149,0.093030475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939406,0.00007379898,0.000036450947,0.000121658064,0.00019811772,0.00017592292],"domain_scores_gemma":[0.9990963,0.00017613286,0.00016010641,0.000099371675,0.00027864825,0.00018946317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051591906,0.0010809797,0.000661432,0.0025359627,0.0018708202,0.0038674232,0.0011185708,0.0012136503,0.020249164],"category_scores_gemma":[0.0032671231,0.00049083045,0.0007321862,0.00097606063,0.0022257247,0.004338084,0.0024196059,0.0016533793,0.0047480855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000106281805,0.000048296894,0.0006804718,0.000075080214,0.0000123313675,0.00023534895,0.0004250802,0.0030420714,0.0025122403,0.97332144,0.0043611373,0.015180245],"study_design_scores_gemma":[0.000038942984,0.00006500828,0.0010576276,0.00009629239,0.000010467108,0.00027058148,0.0006266505,0.023821883,0.0045966846,0.9510216,0.018342461,0.00005178075],"about_ca_topic_score_codex":0.0029663157,"about_ca_topic_score_gemma":0.0029839906,"teacher_disagreement_score":0.020249164,"about_ca_system_score_codex":0.0020529833,"about_ca_system_score_gemma":0.0008609388,"threshold_uncertainty_score":0.0677402},"labels":[],"label_agreement":null},{"id":"W188845496","doi":"10.1007/978-3-642-23568-9_9","title":"Semi-algebraic Description of the Equilibria of Dynamical Systems","year":2011,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Algebraic number; Dynamical systems theory; Parametric statistics; Ordinary differential equation; Univariate; Sign (mathematics); Decomposition; Mathematics; Polynomial; Applied mathematics; Dynamical system (definition); Differential (mechanical device); Computer science; Pure mathematics; Differential equation; Mathematical analysis; Multivariate statistics","score_opus":0.042371583906536246,"score_gpt":0.2644864252922315,"score_spread":0.22211484138569523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W188845496","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05390964,0.0062014335,0.70971525,0.0023778693,0.0007260766,0.00010629739,0.00054378057,0.00021745135,0.2262023],"genre_scores_gemma":[0.837749,0.0046923347,0.09575633,0.00047927926,0.0013882319,0.00023320879,0.0005200448,0.0001531131,0.059028387],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996182,0.00010880739,0.000032134092,0.000049984592,0.00014731202,0.0000435623],"domain_scores_gemma":[0.99961203,0.00013550102,0.000043626267,0.000049661994,0.00011233441,0.00004689722],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007265121,0.00070006505,0.0006105222,0.001448554,0.0007830809,0.0026385766,0.0011170438,0.0007864464,0.006725136],"category_scores_gemma":[0.0011757464,0.0003621351,0.00084291614,0.0008374813,0.002105642,0.004129032,0.0012468529,0.0021898835,0.0008316602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000025230822,0.000003330135,0.00001869875,0.000013971315,0.0000019570898,0.000015999747,0.000048207174,0.0008489355,0.00024104299,0.9973264,0.00027978333,0.0011991049],"study_design_scores_gemma":[0.000004611114,0.0000080517175,0.000044728073,0.000008842348,0.0000028011007,0.000048984675,0.000034450593,0.010087513,0.0001224878,0.98436654,0.0052672257,0.000003872618],"about_ca_topic_score_codex":0.0007520972,"about_ca_topic_score_gemma":0.00070080796,"teacher_disagreement_score":0.006725136,"about_ca_system_score_codex":0.000919548,"about_ca_system_score_gemma":0.00052386406,"threshold_uncertainty_score":0.022497833},"labels":[],"label_agreement":null},{"id":"W1901651598","doi":"10.1007/978-3-319-02297-0_28","title":"Applications of Symbolic Calculations and Polynomial Invariants to the Classification of Singularities of Differential Systems","year":2013,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Gravitational singularity; Quadratic differential; Mathematics; Polynomial; Singularity; Pure mathematics; Bifurcation diagram; Singularity theory; Bifurcation; Invariant theory; Quadratic equation; Algebra over a field; Mathematical analysis; Geometry; Nonlinear system","score_opus":0.029975154347967263,"score_gpt":0.2792647954516076,"score_spread":0.24928964110364032,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1901651598","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10215594,0.026264044,0.6411831,0.004178509,0.0015724573,0.00010726381,0.0003037943,0.00072850555,0.22350632],"genre_scores_gemma":[0.7617543,0.015501543,0.18316752,0.0004174289,0.002644194,0.000106057036,0.00056017825,0.00033183797,0.035517037],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950767,0.00014111062,0.000040652267,0.000074251024,0.00019227428,0.000044079712],"domain_scores_gemma":[0.99911135,0.0004897754,0.00008393132,0.00012920954,0.00011735214,0.00006832834],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068926957,0.00096990855,0.0010772608,0.0037731149,0.0012313307,0.002987123,0.0012893951,0.00070851925,0.0047667297],"category_scores_gemma":[0.0037144208,0.00039822885,0.0009762257,0.0026037833,0.0036836085,0.0036873417,0.0022172146,0.003239421,0.0009266575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018098028,0.00003203454,0.0002516352,0.00011330542,0.000011952056,0.00007661504,0.00026737782,0.004152682,0.00093909266,0.93500304,0.003187914,0.055946354],"study_design_scores_gemma":[0.000003668,0.000006644684,0.0001271248,0.000019138179,0.000002834254,0.00006128465,0.000038607348,0.006440489,0.0002687403,0.988042,0.004981366,0.000008275116],"about_ca_topic_score_codex":0.0006176158,"about_ca_topic_score_gemma":0.00061511504,"teacher_disagreement_score":0.0047667297,"about_ca_system_score_codex":0.0013474508,"about_ca_system_score_gemma":0.0005757633,"threshold_uncertainty_score":0.015946329},"labels":[],"label_agreement":null},{"id":"W1908064275","doi":"10.1090/surv/210","title":"The Dynamical Mordell–Lang Conjecture","year":2016,"lang":"en","type":"book","venue":"Mathematical surveys and monographs","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":82,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Waterloo","funders":"","keywords":"Conjecture; Mathematics; Pure mathematics; Computer science","score_opus":0.02686500059738045,"score_gpt":0.2857077875341953,"score_spread":0.25884278693681484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1908064275","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08846382,0.014318202,0.05007543,0.012021978,0.001990711,0.00003938146,0.00062823185,0.00036346752,0.8320987],"genre_scores_gemma":[0.6960847,0.013840292,0.011254095,0.002531517,0.0023725699,0.00011488496,0.00076629606,0.00016317143,0.27287248],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998293,0.0000229658,0.000006939454,0.000054824006,0.0000622475,0.000023729595],"domain_scores_gemma":[0.9998266,0.000057018286,0.000016090877,0.00003838592,0.000038018137,0.000023925819],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027967585,0.0002446031,0.00024078654,0.00045163793,0.00077806786,0.0021021233,0.00030286858,0.0005197087,0.004105392],"category_scores_gemma":[0.00080964057,0.00018127683,0.0003364206,0.000428374,0.0014068607,0.0033856363,0.001005333,0.0011864128,0.0013233747],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000087447215,0.000006308927,0.00016507995,0.000026144913,0.0000022755867,0.00003875345,0.00016752725,0.00048704675,0.00046028037,0.9747823,0.010191672,0.0136639485],"study_design_scores_gemma":[0.0000054298853,0.000013962379,0.00046308097,0.00004430934,0.0000041446974,0.00011873207,0.000088416215,0.0025384536,0.0004544495,0.88432676,0.11193311,0.000009196554],"about_ca_topic_score_codex":0.0006940455,"about_ca_topic_score_gemma":0.00056565535,"teacher_disagreement_score":0.004105392,"about_ca_system_score_codex":0.0011657776,"about_ca_system_score_gemma":0.000617393,"threshold_uncertainty_score":0.013733923},"labels":[],"label_agreement":null},{"id":"W1918819982","doi":"10.1007/s00332-011-9111-4","title":"Dynamics of Simple Balancing Models with Time-Delayed Switching Feedback Control","year":2011,"lang":"en","type":"article","venue":"Journal of Nonlinear Science","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Aperiodic graph; Control theory (sociology); Inverted pendulum; Periodic orbits; Simple (philosophy); Pendulum; Dynamics (music); Coincidence; Function (biology)","score_opus":0.028514725677658073,"score_gpt":0.2794866600597936,"score_spread":0.25097193438213555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1918819982","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72265196,0.0006626289,0.22612368,0.0010964803,0.00032605382,0.000107654676,0.0002745964,0.00042543627,0.048331562],"genre_scores_gemma":[0.99281013,0.00010087407,0.0014223333,0.000037086356,0.000020230918,0.000024699562,0.000038742273,0.000010144088,0.0055358172],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99990296,0.00002192439,0.000005502655,0.000020551148,0.000025496704,0.000023568546],"domain_scores_gemma":[0.9997464,0.00006304671,0.000075986936,0.00001758,0.000050985058,0.000045967077],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003182103,0.0004971381,0.00083887856,0.00046445185,0.0006191438,0.0013321539,0.00074694667,0.0009794786,0.0047042156],"category_scores_gemma":[0.000727377,0.00022784226,0.000491754,0.0003072318,0.00085659296,0.0010001212,0.0009228631,0.0005380199,0.00038211522],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025511015,0.0001011912,0.0012218201,0.00012225151,0.00010040613,0.00033723612,0.0002744706,0.8543899,0.012321683,0.12028986,0.0014584373,0.009127529],"study_design_scores_gemma":[0.00002583962,0.000059562277,0.00035164578,0.000005212924,0.000014399935,0.000035369132,0.000033316435,0.9833704,0.00034434136,0.015257741,0.0004901617,0.000012035429],"about_ca_topic_score_codex":0.004013921,"about_ca_topic_score_gemma":0.0032359571,"teacher_disagreement_score":0.0047042156,"about_ca_system_score_codex":0.00050857663,"about_ca_system_score_gemma":0.00040785666,"threshold_uncertainty_score":0.015737116},"labels":[],"label_agreement":null},{"id":"W1923956842","doi":"10.37236/393","title":"Characteristic Points of Recursive Systems","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Rogers Communications (Canada); University of Waterloo; Simon Fraser University","funders":"","keywords":"Mathematics; Antichain; Power series; Radius of convergence; Combinatorics; Series (stratigraphy); Jacobian matrix and determinant; Generating function; Mathematical analysis; Mathematical physics; Partially ordered set; Applied mathematics","score_opus":0.013013189347920402,"score_gpt":0.28182065584329,"score_spread":0.26880746649536963,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1923956842","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6076196,0.0015224642,0.3233715,0.000673995,0.00012742999,0.00009752569,0.00028886567,0.00051983277,0.065778814],"genre_scores_gemma":[0.96928465,0.00050419144,0.022367617,0.000088202265,0.00016601832,0.00008965039,0.00016221736,0.00013556611,0.007201847],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990852,0.0002561465,0.0000436306,0.0002087738,0.00024380586,0.00016244194],"domain_scores_gemma":[0.99697375,0.0014822788,0.0005083142,0.0002858087,0.00043098288,0.00031883415],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010822816,0.0004547037,0.00084371056,0.0024828564,0.0012592694,0.0020906257,0.0006636907,0.00066249183,0.0048270044],"category_scores_gemma":[0.007160422,0.00036651897,0.0008900898,0.00090507214,0.0029243953,0.0027383375,0.0018426654,0.0016668084,0.00074611825],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012163706,0.000005865633,0.00059284084,0.00002500834,0.000006603537,0.00005232815,0.00025282256,0.0029009394,0.00074177363,0.9907759,0.00034370995,0.00429011],"study_design_scores_gemma":[0.000016340819,0.000041799514,0.00091618556,0.00002644721,0.0000109960665,0.00016666364,0.00013062915,0.034783,0.00103667,0.9586621,0.0041882438,0.000020858331],"about_ca_topic_score_codex":0.0008379957,"about_ca_topic_score_gemma":0.0005263577,"teacher_disagreement_score":0.0048270044,"about_ca_system_score_codex":0.0013458655,"about_ca_system_score_gemma":0.00052638527,"threshold_uncertainty_score":0.016147912},"labels":[],"label_agreement":null},{"id":"W1960050943","doi":"10.1016/j.jde.2015.09.016","title":"Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials","year":2015,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Bifurcation; Quadratic equation; Amplitude; Limit (mathematics); Hamiltonian (control theory); Mathematical analysis; Limit cycle; Singular point of a curve; Cubic function; Computation; Vector field; Infinite-period bifurcation; Bifurcation theory; Geometry; Physics; Quantum mechanics","score_opus":0.06543773984126545,"score_gpt":0.29852886664923395,"score_spread":0.2330911268079685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1960050943","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.984148,0.000049307473,0.0060861437,0.0001654353,0.000040021183,0.00003625045,0.000026901615,0.000056958863,0.009391006],"genre_scores_gemma":[0.9973781,0.000016897076,0.001241483,0.000021021413,0.0000043624996,0.000013732407,0.000020700185,0.0000137388515,0.0012899252],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99988043,0.000024987758,0.000006644153,0.000018200524,0.000035268476,0.000034466437],"domain_scores_gemma":[0.99967825,0.00008162465,0.000048166356,0.00003665166,0.000041537758,0.00011369982],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033849746,0.00032576424,0.00044205916,0.00076129026,0.0012561836,0.00086837227,0.0005836939,0.00089775625,0.004268054],"category_scores_gemma":[0.0011563303,0.0002583195,0.00043282576,0.0002954446,0.0012286538,0.0005500045,0.0009383775,0.0004948086,0.00018991706],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0016308763,0.00086783443,0.015771715,0.000443826,0.00042116683,0.0052186097,0.0038888266,0.37543175,0.20147046,0.34996328,0.0039898558,0.04090183],"study_design_scores_gemma":[0.00011491451,0.00046556318,0.007704757,0.000042944965,0.0000687816,0.000458018,0.00087808346,0.9007883,0.015106483,0.07192059,0.0023771648,0.0000744355],"about_ca_topic_score_codex":0.0012541884,"about_ca_topic_score_gemma":0.0013190875,"teacher_disagreement_score":0.004268054,"about_ca_system_score_codex":0.0008776605,"about_ca_system_score_gemma":0.00045330083,"threshold_uncertainty_score":0.014278054},"labels":[],"label_agreement":null},{"id":"W1963778686","doi":"10.1016/j.jde.2011.06.009","title":"The modulus of unfoldings of cusps in conformal geometry","year":2011,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Conformal map; Geometry; Modulus; Mathematical analysis; Pure mathematics","score_opus":0.06766049405435433,"score_gpt":0.3049105367127248,"score_spread":0.23725004265837046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963778686","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9181479,0.0005136414,0.048847813,0.0025809577,0.0002919944,0.000034391225,0.00013959444,0.00025715242,0.02918655],"genre_scores_gemma":[0.9906945,0.00023601521,0.003692556,0.00014016243,0.00033328173,0.000015414244,0.00007466922,0.0000644512,0.004748927],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952555,0.000090187874,0.000025126974,0.00010564626,0.00013803608,0.000115551455],"domain_scores_gemma":[0.99734336,0.0009254946,0.00039922883,0.00028454073,0.00024747767,0.0007997871],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001371136,0.000622906,0.0008360847,0.002339321,0.0020221851,0.0029638265,0.0010608879,0.0017100533,0.0061784447],"category_scores_gemma":[0.007774546,0.0006644172,0.0005983881,0.00090301305,0.0043137763,0.0059536085,0.0029833706,0.002374232,0.00039875341],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004371158,0.000014915423,0.00059501315,0.000019126559,0.0000048325946,0.00011903101,0.00033506044,0.00068996014,0.0009833352,0.9939214,0.00043188775,0.002841642],"study_design_scores_gemma":[0.00001732273,0.000020715459,0.0008848434,0.000009243037,0.000005352195,0.0001364183,0.000108765584,0.004244465,0.0002529937,0.9936427,0.0006641397,0.000013074811],"about_ca_topic_score_codex":0.00075915386,"about_ca_topic_score_gemma":0.00060470187,"teacher_disagreement_score":0.0061784447,"about_ca_system_score_codex":0.0010613161,"about_ca_system_score_gemma":0.00046860785,"threshold_uncertainty_score":0.020668924},"labels":[],"label_agreement":null},{"id":"W1964684963","doi":"10.1216/rmjm/1020171683","title":"Cubic Fields with a Power Basis","year":2001,"lang":"en","type":"article","venue":"Rocky Mountain Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Basis (linear algebra); Power (physics); Geometry","score_opus":0.0250641087845289,"score_gpt":0.291724831416957,"score_spread":0.26666072263242807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964684963","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6938888,0.00078167923,0.10202725,0.0015393719,0.00020456115,0.00009144422,0.00030835747,0.00043893862,0.20071957],"genre_scores_gemma":[0.9577116,0.00040211674,0.020272668,0.00018380333,0.0001116788,0.00004520717,0.0002088768,0.00006558981,0.020998536],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998037,0.0000395801,0.0000065070894,0.000025135812,0.00005891645,0.0000661714],"domain_scores_gemma":[0.9996137,0.000101012134,0.00006323619,0.000081061335,0.00007750713,0.00006353797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035720164,0.0002970896,0.00022734751,0.0008886335,0.00097178674,0.0009026952,0.0002655929,0.0003489542,0.0068637193],"category_scores_gemma":[0.0010395527,0.00020068954,0.00031760658,0.00068516383,0.0014021464,0.0018700216,0.0012215531,0.0010670089,0.0010529371],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000707987,0.000028939194,0.0004809358,0.000050040224,0.0000037141635,0.00015970276,0.00025891728,0.0016939614,0.003849123,0.9789258,0.0021225782,0.012355482],"study_design_scores_gemma":[0.000052219424,0.00005267277,0.0004662592,0.00003108343,0.000009178566,0.00030752734,0.00021750832,0.01459148,0.0039071194,0.9680397,0.01230814,0.000017144073],"about_ca_topic_score_codex":0.0015100116,"about_ca_topic_score_gemma":0.0013989479,"teacher_disagreement_score":0.0068637193,"about_ca_system_score_codex":0.0006935661,"about_ca_system_score_gemma":0.00072309753,"threshold_uncertainty_score":0.022961438},"labels":[],"label_agreement":null},{"id":"W1965045620","doi":"10.1109/acc.2012.6315603","title":"Motion planning by the homotopy continuation method for control-affine systems","year":2012,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Sublinear function; Affine transformation; Continuation; Mathematics; Homotopy; Homotopy analysis method; Motion (physics); Constraint (computer-aided design); Class (philosophy); Control theory (sociology); Set (abstract data type); Process (computing); Simple (philosophy); Applied mathematics; Computer science; Control (management); Calculus (dental); Mathematical optimization; Mathematical analysis; Artificial intelligence; Pure mathematics; Geometry","score_opus":0.0522389870141269,"score_gpt":0.3717533016654606,"score_spread":0.31951431465133373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965045620","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0122826025,0.00035205684,0.98516,0.00012718992,0.000021983395,0.00004038625,0.000009022449,0.000052363972,0.001954294],"genre_scores_gemma":[0.46746418,0.001107087,0.5257581,0.00008229828,0.0000677504,0.0004268746,0.000064275584,0.00008677349,0.0049426607],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99977905,0.00011654827,0.000009788153,0.000026899805,0.000054686792,0.000013073037],"domain_scores_gemma":[0.9996673,0.00022594545,0.000025875823,0.000023969596,0.000036516587,0.000020426072],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013867068,0.00062277727,0.0006292903,0.0007263034,0.00050927105,0.000542761,0.0007284137,0.000858377,0.0011768703],"category_scores_gemma":[0.0017875095,0.0003512619,0.00076864666,0.0003809678,0.0012199346,0.0007595012,0.0011610659,0.000983359,0.00016202944],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000074463875,0.00005470296,0.00048810788,0.00018355159,0.00006756466,0.00018198912,0.00027152905,0.692015,0.012109912,0.21918863,0.0006456621,0.07471894],"study_design_scores_gemma":[0.000010575713,0.00004667995,0.00004897128,0.00001547434,0.000005061123,0.000016675325,0.000014676946,0.9619565,0.00072422886,0.035958506,0.001194437,0.000008171265],"about_ca_topic_score_codex":0.0021762631,"about_ca_topic_score_gemma":0.0014723361,"teacher_disagreement_score":0.0021762631,"about_ca_system_score_codex":0.0006529276,"about_ca_system_score_gemma":0.0010461012,"threshold_uncertainty_score":0.007333696},"labels":[],"label_agreement":null},{"id":"W1965888997","doi":"10.4153/cmb-2003-034-4","title":"Characterizing Two-Dimensional Maps Whose Jacobians Have Constant Eigenvalues","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Jacobian matrix and determinant; Affine transformation; Constant (computer programming); Polynomial; Pure mathematics; Function (biology); Nonlinear system; Mathematical analysis; Applied mathematics","score_opus":0.031233252418869376,"score_gpt":0.2762630240232856,"score_spread":0.24502977160441625,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965888997","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87867874,0.00022908491,0.102154195,0.00030275824,0.00004424092,0.000043181306,0.00006973268,0.00011266737,0.018365411],"genre_scores_gemma":[0.9914145,0.00007543426,0.0061051077,0.00001790742,0.000019131372,0.000015187743,0.000033222856,0.000013873881,0.0023055656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997676,0.00004122035,0.000012579821,0.000048052465,0.00007339392,0.00005705593],"domain_scores_gemma":[0.9990289,0.0003053936,0.00026072742,0.00008128322,0.00017623777,0.0001474607],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004352128,0.00040760342,0.00028632864,0.0012915503,0.0005881374,0.0015187205,0.00032849188,0.0006458686,0.0015858149],"category_scores_gemma":[0.0021459248,0.00019917934,0.0002181992,0.0005082374,0.0018900584,0.0011994758,0.0009610155,0.00045012374,0.00019366413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013117633,0.000100914585,0.0036518427,0.0000978875,0.000020052186,0.0007443463,0.0009773234,0.03214143,0.040243633,0.903179,0.001365838,0.017346686],"study_design_scores_gemma":[0.00005177179,0.00010715084,0.003235273,0.000021397209,0.000011989554,0.0005391165,0.0006295185,0.21715051,0.010187372,0.7644491,0.0035444899,0.00007234021],"about_ca_topic_score_codex":0.0008750578,"about_ca_topic_score_gemma":0.0003972222,"teacher_disagreement_score":0.0015858149,"about_ca_system_score_codex":0.0006678769,"about_ca_system_score_gemma":0.00028073508,"threshold_uncertainty_score":0.005305052},"labels":[],"label_agreement":null},{"id":"W1967532903","doi":"10.1007/s10884-008-9117-2","title":"The Full Study of Planar Quadratic Differential Systems Possessing a Line of Singularities at Infinity","year":2008,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Quadratic differential; Pure mathematics; Moduli space; Invariant (physics); Integrable system; Gravitational singularity; Phase portrait; Ordinary differential equation; Mathematical analysis; Affine transformation; Invariant theory; Quadratic equation; Differential equation; Bifurcation; Algebra over a field; Mathematical physics; Geometry; Nonlinear system","score_opus":0.05022990085084186,"score_gpt":0.304276863577557,"score_spread":0.2540469627267151,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967532903","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6740764,0.005771451,0.19806023,0.005745168,0.0005969095,0.00011313678,0.00037699356,0.00021982875,0.11503999],"genre_scores_gemma":[0.9652138,0.001937348,0.011724796,0.00035378712,0.00052440685,0.000036883717,0.00019686393,0.00005996475,0.019952198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978834,0.000058647187,0.000011503446,0.000026919815,0.000080635815,0.000033874418],"domain_scores_gemma":[0.99956447,0.00015714648,0.00007157311,0.00004693118,0.00008055413,0.00007922013],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048067028,0.00087703485,0.001055479,0.0010825152,0.00093316747,0.0016359051,0.0011482692,0.001516514,0.00318175],"category_scores_gemma":[0.0022066452,0.00041883285,0.0009599439,0.0007667643,0.0018214155,0.0025695113,0.0014586715,0.0014659984,0.00023899383],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040647166,0.00004591485,0.00044898957,0.00015985317,0.000028007638,0.0003887456,0.0002994427,0.041856706,0.0022464995,0.94371784,0.0021929166,0.008574483],"study_design_scores_gemma":[0.000025337476,0.00004928474,0.0005593842,0.000023897474,0.000013887339,0.00028068383,0.00016573619,0.18015699,0.0002762429,0.8153292,0.0030952718,0.000024096806],"about_ca_topic_score_codex":0.0015210464,"about_ca_topic_score_gemma":0.0008433529,"teacher_disagreement_score":0.00318175,"about_ca_system_score_codex":0.0005155133,"about_ca_system_score_gemma":0.0005294505,"threshold_uncertainty_score":0.010644019},"labels":[],"label_agreement":null},{"id":"W1969975546","doi":"10.1142/s0218127409025250","title":"HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS","year":2009,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":96,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Hamiltonian system; Mathematics; Quadratic equation; Bifurcation; Limit cycle; Limit (mathematics); Hamiltonian (control theory); Mathematical analysis; Hopf bifurcation; Applied mathematics; Control theory (sociology); Physics; Mathematical optimization; Computer science; Nonlinear system; Geometry; Quantum mechanics","score_opus":0.03772972604244877,"score_gpt":0.3639002716211857,"score_spread":0.3261705455787369,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969975546","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6194929,0.0008842352,0.36913162,0.00020717397,0.00005567839,0.00005873031,0.000039546823,0.00012238347,0.010007781],"genre_scores_gemma":[0.9729127,0.00024419048,0.024504397,0.000030414829,0.00002038964,0.000030557927,0.00003414394,0.0000187771,0.0022044482],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999094,0.000025429117,0.000004877592,0.000015751397,0.0000331277,0.00001135767],"domain_scores_gemma":[0.9998336,0.00006644712,0.00003734309,0.000012805216,0.000029376888,0.000020542138],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002221364,0.00021716578,0.0003312139,0.00059835386,0.00054025947,0.00040656378,0.00031735384,0.000383901,0.0016628372],"category_scores_gemma":[0.0009498721,0.00013434583,0.00027594814,0.00019252172,0.00056757097,0.00068961544,0.0005930643,0.0003568997,0.00017135328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000967857,0.00006523739,0.0040346016,0.0002177697,0.00008646846,0.0010427511,0.0008504188,0.392457,0.05064504,0.51257366,0.00073995144,0.03719033],"study_design_scores_gemma":[0.000010327183,0.000029872637,0.0005953654,0.000009604143,0.0000075835096,0.00013159629,0.00006492575,0.87756723,0.0022116753,0.11842367,0.00093520153,0.000012911812],"about_ca_topic_score_codex":0.0009781244,"about_ca_topic_score_gemma":0.00074096903,"teacher_disagreement_score":0.0016628372,"about_ca_system_score_codex":0.00035645594,"about_ca_system_score_gemma":0.00021281754,"threshold_uncertainty_score":0.0055627823},"labels":[],"label_agreement":null},{"id":"W1970130938","doi":"10.1016/j.jpaa.2009.10.004","title":"Triangular derivations of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:mstyle mathvariant=\"bold\"><mml:mi>k</mml:mi></mml:mstyle><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:mo>,</mml:mo><mml:mi>Y</mml:mi><mml:mo>,</mml:mo><mml:mi>Z</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math>","year":2009,"lang":"lv","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Zero (linguistics); Polynomial ring; Characterization (materials science); Ring (chemistry); Scroll; Field (mathematics); Combinatorics; Polynomial; Discrete mathematics; Mathematical analysis; Pure mathematics; Theology; Physics; Philosophy","score_opus":0.01595652277948562,"score_gpt":0.2449402164934157,"score_spread":0.2289836937139301,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970130938","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015601439,0.0005924433,0.33900955,0.001979691,0.0019620075,0.0001452367,0.0035440314,0.0024257833,0.63473976],"genre_scores_gemma":[0.34208488,0.001231251,0.15472265,0.0019212482,0.00086863944,0.00028982482,0.006289593,0.004026128,0.48856577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991184,0.00018761714,0.00006776664,0.00019812031,0.00028207546,0.00014603198],"domain_scores_gemma":[0.9986721,0.00031337352,0.00007040325,0.00026046784,0.00058312184,0.000100538025],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000728202,0.00061764463,0.00041123,0.0010942275,0.0015607629,0.0035812452,0.0009816417,0.000773319,0.1252008],"category_scores_gemma":[0.0032407779,0.0004167127,0.0008531753,0.0010995017,0.0012207296,0.0036824048,0.0017254411,0.0020976877,0.046214405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002544039,0.00002111765,0.00007745872,0.00004535698,0.0000056968224,0.000105950174,0.00028455918,0.00033882077,0.0009977904,0.9443549,0.034673516,0.019069409],"study_design_scores_gemma":[0.000031344374,0.000019637382,0.0001865908,0.000044855606,0.00001237853,0.00023321804,0.00023067689,0.0048614326,0.0039692842,0.8009719,0.18940303,0.000035531622],"about_ca_topic_score_codex":0.0034588482,"about_ca_topic_score_gemma":0.004708824,"teacher_disagreement_score":0.1252008,"about_ca_system_score_codex":0.0014536268,"about_ca_system_score_gemma":0.0010556048,"threshold_uncertainty_score":0.41883838},"labels":[],"label_agreement":null},{"id":"W1970305544","doi":"10.1093/imamat/64.2.109","title":"An algebraic approach for obtaining nilpotent normal forms in dimension 4","year":2000,"lang":"en","type":"article","venue":"IMA Journal of Applied Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dimension (graph theory); Zhàng; Algebraic number; Mathematics; Library science; Algebra over a field; Computer science; Pure mathematics; Political science; Law; China; Mathematical analysis","score_opus":0.026287834670774817,"score_gpt":0.29698140274523005,"score_spread":0.2706935680744552,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970305544","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17731902,0.001313738,0.6261997,0.0030741324,0.0016145981,0.0004584873,0.00029879867,0.0006631465,0.18905835],"genre_scores_gemma":[0.6961038,0.0022488832,0.2644245,0.0009782921,0.0010679082,0.00034306975,0.00036709436,0.00033453407,0.034131814],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991448,0.00022538888,0.000093977025,0.00010706516,0.0003334483,0.000095239986],"domain_scores_gemma":[0.99910164,0.0002588246,0.0000804028,0.00010823786,0.00033656997,0.0001143417],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010394804,0.0006692653,0.00071809895,0.0042212545,0.0018827486,0.0025546022,0.0010636962,0.0005798701,0.007820994],"category_scores_gemma":[0.0034946266,0.00038759637,0.001146094,0.0015424598,0.0028442915,0.0040403525,0.0037088892,0.0023108677,0.0017070473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023245933,0.000043629585,0.00034399342,0.00008816613,0.000013604606,0.00021358793,0.0005404762,0.0017022173,0.001393875,0.9671907,0.0021994645,0.026247261],"study_design_scores_gemma":[0.000009728292,0.0000361831,0.00009011002,0.000016858716,0.000005823605,0.00015371166,0.00013439383,0.0050824503,0.0006506886,0.986899,0.006900221,0.000020727994],"about_ca_topic_score_codex":0.000839988,"about_ca_topic_score_gemma":0.0011660514,"teacher_disagreement_score":0.007820994,"about_ca_system_score_codex":0.0009677362,"about_ca_system_score_gemma":0.0011321278,"threshold_uncertainty_score":0.026163816},"labels":[],"label_agreement":null},{"id":"W1970689640","doi":"10.1016/j.bulsci.2004.05.006","title":"An algebraic model for the center problem","year":2004,"lang":"en","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Center (category theory); Construct (python library); Polynomial; Algebraic number; Mathematics; Focus (optics); Dimension of an algebraic variety; Algebra over a field; Pure mathematics; Computer science; Mathematical analysis; Physics","score_opus":0.086617141021484,"score_gpt":0.3601757597353717,"score_spread":0.2735586187138877,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970689640","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28430206,0.0014790149,0.40932757,0.016566843,0.0006085567,0.00019511279,0.0005964965,0.00030869283,0.28661567],"genre_scores_gemma":[0.93705183,0.00070516067,0.021660656,0.00055159366,0.0004916083,0.0001092182,0.0002644161,0.00009806702,0.039067436],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997118,0.00006869089,0.000011167121,0.000050454044,0.00007652229,0.00008127644],"domain_scores_gemma":[0.9993236,0.00023020929,0.00009879748,0.00006166272,0.00013004952,0.00015570666],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051329774,0.0003889526,0.0007887017,0.00097633695,0.0014444408,0.0023988239,0.0013579128,0.0016757621,0.011117682],"category_scores_gemma":[0.0018083544,0.00020336571,0.0006682981,0.0008395811,0.002098709,0.003576559,0.0021717004,0.002067735,0.0006987599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008421624,0.000012655383,0.00004568105,0.00000885494,0.0000021429526,0.000037313024,0.000037674126,0.0011653738,0.000120367644,0.9966543,0.0010301218,0.0008770615],"study_design_scores_gemma":[0.000023902297,0.000009535408,0.000043264507,0.0000044713347,0.0000029096946,0.000047513277,0.000068492955,0.020542992,0.00007530145,0.97680044,0.0023764265,0.0000047685394],"about_ca_topic_score_codex":0.0020598911,"about_ca_topic_score_gemma":0.0013407072,"teacher_disagreement_score":0.011117682,"about_ca_system_score_codex":0.0014257494,"about_ca_system_score_gemma":0.0014210937,"threshold_uncertainty_score":0.037192285},"labels":[],"label_agreement":null},{"id":"W1970842889","doi":"10.48550/arxiv.1009.4408","title":"Polynomial estimates, exponential curves and Diophantine approximation","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Combinatorics; Polynomial; Order (exchange); Mathematics; Degree (music); Exponential function; Unit (ring theory); Diophantine approximation; Diophantine equation; Physics; Mathematical analysis","score_opus":0.08477507728208812,"score_gpt":0.22843387375012011,"score_spread":0.14365879646803198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970842889","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26358128,0.0146248555,0.54131204,0.01137156,0.0006641062,0.000066754044,0.00097352924,0.000717273,0.16668867],"genre_scores_gemma":[0.92635566,0.006103219,0.031681936,0.00056498754,0.0006426521,0.000110796245,0.0007357413,0.00029799552,0.033506896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926215,0.00016321677,0.000024749465,0.00014609616,0.00024489357,0.00015883714],"domain_scores_gemma":[0.99614054,0.0021544772,0.00041938174,0.00041433534,0.0005408512,0.00033030967],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019713487,0.0012545234,0.00095020386,0.002529886,0.0011351093,0.002257929,0.0017114573,0.0010588529,0.005430321],"category_scores_gemma":[0.010339486,0.00034359746,0.00070315273,0.0019761184,0.00281752,0.004863271,0.0026710925,0.0041624834,0.001212168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032402088,0.00001588065,0.0005467641,0.000071535454,0.0000120849345,0.000040686074,0.00015641432,0.006693788,0.0009710074,0.98241085,0.002088951,0.0069596115],"study_design_scores_gemma":[0.000010490569,0.00001900403,0.0009008041,0.000039734576,0.00001560942,0.0000690742,0.000081287835,0.07292785,0.00100711,0.9186539,0.0062541654,0.000020943922],"about_ca_topic_score_codex":0.0038730833,"about_ca_topic_score_gemma":0.0023852559,"teacher_disagreement_score":0.005430321,"about_ca_system_score_codex":0.0038245672,"about_ca_system_score_gemma":0.0008646342,"threshold_uncertainty_score":0.02774924},"labels":[],"label_agreement":null},{"id":"W1971251869","doi":"10.1216/rmj-2015-45-1-29","title":"From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields","year":2015,"lang":"en","type":"article","venue":"Rocky Mountain Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"FP7 People: Marie-Curie Actions","keywords":"Mathematics; Gravitational singularity; Equivalence relation; Pure mathematics; Infinity; Invariant (physics); Topology (electrical circuits); Combinatorics; Mathematical analysis","score_opus":0.17332257917755642,"score_gpt":0.3792537920367094,"score_spread":0.20593121285915297,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971251869","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44165072,0.0008893586,0.5083975,0.0014856148,0.00022338149,0.00018771693,0.0003140031,0.0004267097,0.046425045],"genre_scores_gemma":[0.9227385,0.00037404348,0.07149624,0.00014212166,0.00017319321,0.00010132596,0.00046992986,0.00009299621,0.00441175],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989236,0.00027644413,0.00009344758,0.00023684518,0.0003034735,0.00016623504],"domain_scores_gemma":[0.9985415,0.0006812632,0.00018462836,0.00023672747,0.00020412519,0.00015181726],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015297346,0.0003773887,0.0004770724,0.0027898212,0.0016073441,0.0034522323,0.0011034107,0.00093957636,0.005754891],"category_scores_gemma":[0.0052691083,0.00019420129,0.0007437203,0.0013855894,0.0051006675,0.0052838465,0.0024812345,0.002226262,0.00081087434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041882973,0.000026848158,0.0011938412,0.00006301251,0.0000045814713,0.000075077674,0.00080877845,0.0029392487,0.0010157007,0.9675867,0.0007661476,0.025478063],"study_design_scores_gemma":[0.0000123877435,0.000048086535,0.0008608936,0.000040801715,0.0000059006907,0.000119105694,0.0003629058,0.024360394,0.0011152654,0.9697347,0.0033116706,0.000027885344],"about_ca_topic_score_codex":0.0010619259,"about_ca_topic_score_gemma":0.0005172707,"teacher_disagreement_score":0.005754891,"about_ca_system_score_codex":0.0012678191,"about_ca_system_score_gemma":0.00048277885,"threshold_uncertainty_score":0.019252002},"labels":[],"label_agreement":null},{"id":"W1971606922","doi":"10.1145/1940475.1940505","title":"Invariants and symbolic calculations in the theory of quadratic differential systems","year":2011,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Symbolic computation; Quadratic equation; Quadratic differential; Algebra over a field; Class (philosophy); Differential (mechanical device); Computation; Mathematics; Polynomial; Space (punctuation); Computer science; Theoretical computer science; Applied mathematics; Pure mathematics; Algorithm; Mathematical analysis; Artificial intelligence","score_opus":0.1364744079541299,"score_gpt":0.33107745551630896,"score_spread":0.19460304756217905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971606922","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32466695,0.0031833602,0.51859874,0.0033580235,0.00041354116,0.000068388596,0.00024677403,0.0007017298,0.14876252],"genre_scores_gemma":[0.9418829,0.0009074231,0.04706774,0.00013503688,0.00032232283,0.00004595354,0.00015672624,0.000105811094,0.009376011],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993445,0.00017538386,0.000029683682,0.000054738877,0.00031713638,0.00007851884],"domain_scores_gemma":[0.9990828,0.00050410617,0.00009885962,0.00012133542,0.00011851236,0.000074346266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084109773,0.00047898485,0.00056736544,0.0023558785,0.0012871504,0.002229676,0.0009621219,0.0004785214,0.0066211806],"category_scores_gemma":[0.0035073245,0.00022666702,0.00060464774,0.001463478,0.0035038048,0.003979296,0.0014424223,0.001620083,0.00077255623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008907618,0.000014310391,0.00013840277,0.000024378387,0.0000022694906,0.000028292992,0.000109895365,0.006044122,0.0002855538,0.9882472,0.0003619782,0.0047347676],"study_design_scores_gemma":[0.0000044430462,0.000008312871,0.00011520643,0.000009510242,0.0000016361724,0.000022270975,0.00003809837,0.034436118,0.0003672986,0.96362567,0.0013646818,0.0000067261985],"about_ca_topic_score_codex":0.0010457968,"about_ca_topic_score_gemma":0.0008953072,"teacher_disagreement_score":0.0066211806,"about_ca_system_score_codex":0.0014649649,"about_ca_system_score_gemma":0.0008231767,"threshold_uncertainty_score":0.02215004},"labels":[],"label_agreement":null},{"id":"W1972909096","doi":"10.1016/j.jmaa.2006.05.056","title":"Bifurcation of small limit cycles in<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mi>Z</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:math>-equivariant planar vector fields of order 5","year":2006,"lang":"lv","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Equivariant map; Limit (mathematics); Polynomial; Hopf bifurcation; Bifurcation; Vector field; Discrete mathematics; Combinatorics; Mathematical analysis; Pure mathematics; Geometry; Physics; Quantum mechanics","score_opus":0.020080324476619213,"score_gpt":0.255697511820446,"score_spread":0.23561718734382675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972909096","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84233266,0.0010477526,0.058842156,0.0014283257,0.00018121289,0.00009541938,0.00023182012,0.00053031347,0.09531034],"genre_scores_gemma":[0.9832234,0.00024236758,0.0037655947,0.00008459634,0.00003538223,0.000047145608,0.00010662369,0.00006810237,0.012426801],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998996,0.00001793764,0.0000053895146,0.000023293309,0.000025352061,0.000028334776],"domain_scores_gemma":[0.9996711,0.00008296514,0.00006868023,0.00002581169,0.00005511932,0.00009631811],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021726232,0.00030650332,0.00035238688,0.0012235321,0.0008844782,0.0017575551,0.0003888475,0.00065437844,0.007399392],"category_scores_gemma":[0.0012506013,0.0002668198,0.00040719562,0.00035183318,0.00095633767,0.0012042266,0.0010440502,0.0006465935,0.0008847551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015605491,0.00006249675,0.0012742474,0.000089659254,0.00004699245,0.00044974923,0.00040445133,0.017491182,0.012830242,0.9453655,0.0044227997,0.017406583],"study_design_scores_gemma":[0.00010004343,0.00009906383,0.0030855436,0.000064260865,0.000040300492,0.00037420972,0.00038230701,0.15776452,0.007377022,0.8216082,0.009055207,0.00004939302],"about_ca_topic_score_codex":0.0011533678,"about_ca_topic_score_gemma":0.0010937576,"teacher_disagreement_score":0.007399392,"about_ca_system_score_codex":0.0010311877,"about_ca_system_score_gemma":0.0005280718,"threshold_uncertainty_score":0.024753392},"labels":[],"label_agreement":null},{"id":"W1972976775","doi":"10.1023/a:1019752327311","title":"A Transient-State Analysis of Tyson's Model for the Cell Division Cycle by Means of KCC-Theory","year":2002,"lang":"en","type":"article","venue":"Open Systems & Information Dynamics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Limit cycle; Mathematics; Division (mathematics); Limit (mathematics); Stability (learning theory); Lyapunov function; Transient (computer programming); Differential equation; Exponential stability; Mathematical analysis; Steady state (chemistry); Applied mathematics; Nonlinear system; Physics; Computer science","score_opus":0.027392375780742863,"score_gpt":0.28193815914862025,"score_spread":0.25454578336787737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972976775","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32532945,0.0009833251,0.62578905,0.0006874753,0.00007628116,0.00006485979,0.000304502,0.00023395767,0.046531174],"genre_scores_gemma":[0.98633635,0.0003689875,0.00535334,0.000030957453,0.00001750363,0.00005644198,0.00009834376,0.000024192746,0.007713917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9999424,0.0000102344775,0.0000026363641,0.00001502683,0.000015756275,0.0000139518725],"domain_scores_gemma":[0.99989057,0.00003345472,0.000026447704,0.000009479342,0.000024862147,0.000015131125],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018435762,0.000302829,0.0003874039,0.00038451247,0.00043982867,0.00079075276,0.00052304304,0.00048734792,0.0028963583],"category_scores_gemma":[0.0006660504,0.00011279921,0.00048550323,0.00023841618,0.00078225636,0.00066364923,0.0005215016,0.00048084627,0.00026935022],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006147599,0.000019610941,0.0013849984,0.000080941165,0.000028356179,0.00028989743,0.00036445193,0.4634685,0.012324779,0.5140864,0.0010241114,0.0068665356],"study_design_scores_gemma":[0.0000059546605,0.000023168108,0.00033954091,0.000010319409,0.000009183281,0.00004874565,0.000042486394,0.9552387,0.0006606063,0.042463884,0.0011452776,0.0000122289175],"about_ca_topic_score_codex":0.006748636,"about_ca_topic_score_gemma":0.002786711,"teacher_disagreement_score":0.006748636,"about_ca_system_score_codex":0.0009311612,"about_ca_system_score_gemma":0.00062194385,"threshold_uncertainty_score":0.013418734},"labels":[],"label_agreement":null},{"id":"W1973010592","doi":"10.1016/j.jde.2015.01.009","title":"Vector fields with homogeneous nonlinearities and many limit cycles","year":2015,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"FP7 People: Marie-Curie Actions; Federación Española de Enfermedades Raras; Shanghai Municipal Education Commission; National Natural Science Foundation of China","keywords":"Mathematics; Limit (mathematics); Vector field; Bifurcation; Homogeneous polynomial; Mathematical analysis; Infinity; Singularity; Focus (optics); Pure mathematics; Limit cycle; Polynomial; Matrix (chemical analysis); Combinatorics; Geometry; Matrix polynomial; Nonlinear system; Physics","score_opus":0.06464196004194125,"score_gpt":0.30831221829409994,"score_spread":0.24367025825215868,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973010592","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81148267,0.0018153134,0.0894121,0.0025957918,0.0005078326,0.000100987156,0.00025412755,0.00032653988,0.09350464],"genre_scores_gemma":[0.9518599,0.0007360029,0.010071089,0.0003402936,0.00047619635,0.0000896035,0.00020234601,0.00012675514,0.036097802],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965596,0.000087615714,0.000024047675,0.00006914264,0.00007995423,0.0000832801],"domain_scores_gemma":[0.99872607,0.00030711683,0.0002860384,0.000104106395,0.00021347377,0.00036310757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008239167,0.0009793558,0.0012132487,0.0037121398,0.0021108266,0.0031040127,0.0012263405,0.001642363,0.005344995],"category_scores_gemma":[0.003356304,0.00072759925,0.0008544653,0.0013457752,0.0031755932,0.006234942,0.0026619341,0.0018664605,0.0006172686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002341526,0.000032539763,0.00019138676,0.000018820594,0.000010395653,0.000091011185,0.00009551827,0.0014758261,0.00055665075,0.995135,0.00045309344,0.0019164538],"study_design_scores_gemma":[0.000015607644,0.000019282867,0.00020692658,0.000008410269,0.000007332022,0.00011896502,0.000070403694,0.013207992,0.0002821067,0.9852095,0.00083835283,0.000015024159],"about_ca_topic_score_codex":0.0014542483,"about_ca_topic_score_gemma":0.0014020569,"teacher_disagreement_score":0.005344995,"about_ca_system_score_codex":0.0015228695,"about_ca_system_score_gemma":0.00086118374,"threshold_uncertainty_score":0.017880738},"labels":[],"label_agreement":null},{"id":"W1973842768","doi":"10.4153/cjm-2001-001-x","title":"The Equivariant Grothendieck Groups of the Russell-Koras Threefolds","year":2001,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Equivariant map; Pure mathematics; Contractible space; Affine transformation; Quotient; Action (physics); Algebra over a field","score_opus":0.03884715471553309,"score_gpt":0.2751374594769675,"score_spread":0.2362903047614344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973842768","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9661841,0.00020710027,0.008693616,0.00020916376,0.00003184453,0.00003387338,0.000118900454,0.000077017234,0.0244445],"genre_scores_gemma":[0.99330103,0.00013195327,0.0024390859,0.000031459458,0.000040655497,0.00002198504,0.00013033129,0.000021014095,0.0038825693],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995659,0.00006995577,0.000022024864,0.00006562906,0.00017498028,0.00010158315],"domain_scores_gemma":[0.99956423,0.00006342839,0.000129694,0.00003983012,0.00005787565,0.00014496918],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005170464,0.00044323684,0.0004885433,0.0025206795,0.0008422097,0.0017378399,0.00049886224,0.00036200637,0.0037939996],"category_scores_gemma":[0.0010103696,0.0002657454,0.0004095019,0.00053206243,0.0019599202,0.0015208805,0.0014258376,0.00076720095,0.0003569582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009183847,0.000040208208,0.0015493206,0.000028491122,0.000015450049,0.0002660294,0.00056482863,0.0028937696,0.0054715713,0.98130715,0.00040356666,0.007367766],"study_design_scores_gemma":[0.0000506964,0.00014156703,0.00891359,0.000037600636,0.000031047417,0.0005986844,0.00077887863,0.014212132,0.0061778263,0.96275187,0.0062328745,0.000073273375],"about_ca_topic_score_codex":0.0010775026,"about_ca_topic_score_gemma":0.0006857054,"teacher_disagreement_score":0.0037939996,"about_ca_system_score_codex":0.00079238054,"about_ca_system_score_gemma":0.0003968891,"threshold_uncertainty_score":0.012692153},"labels":[],"label_agreement":null},{"id":"W1974491064","doi":"10.1142/s021819670400189x","title":"ON TORSION IN FACTORS OF POLYNILPOTENT SERIES OF A GROUP WITH A SINGLE RELATION","year":2004,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Central series; Modulo; Torsion (gastropod); Free group; Nilpotent; Combinatorics; Series (stratigraphy); Group (periodic table); Power series; Pure mathematics; Nilpotent group; Mathematical analysis; Physics","score_opus":0.021119230757869124,"score_gpt":0.27765703927321606,"score_spread":0.2565378085153469,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974491064","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8293754,0.001720315,0.10099037,0.0007317511,0.00035756183,0.00007669545,0.0002566088,0.00044338615,0.06604794],"genre_scores_gemma":[0.9764199,0.0005175931,0.012116354,0.00010762334,0.00040513408,0.00005808624,0.00018304099,0.00016228478,0.010029929],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999331,0.00013129518,0.000040092902,0.00014214059,0.00016840734,0.00018704512],"domain_scores_gemma":[0.9991115,0.0003613677,0.00013917583,0.00007871883,0.00011891746,0.0001903753],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008615346,0.0008181347,0.00080263865,0.0020719415,0.0015326403,0.0020455671,0.00077659264,0.0005630691,0.0071968534],"category_scores_gemma":[0.003258921,0.0003615044,0.0007938808,0.0010921956,0.0032436978,0.004185295,0.0017163303,0.001270936,0.0010493192],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016759818,0.000048754646,0.0013118255,0.000093891475,0.000016904165,0.000758195,0.0012685775,0.0020181104,0.004493877,0.97891366,0.0008501047,0.01005836],"study_design_scores_gemma":[0.000039649658,0.00012838516,0.00068200263,0.000043541233,0.000023787492,0.00062139257,0.00028474693,0.007892007,0.0036483495,0.98025835,0.006346384,0.00003132905],"about_ca_topic_score_codex":0.00061376137,"about_ca_topic_score_gemma":0.0006544246,"teacher_disagreement_score":0.0071968534,"about_ca_system_score_codex":0.0009770255,"about_ca_system_score_gemma":0.00041211888,"threshold_uncertainty_score":0.024075866},"labels":[],"label_agreement":null},{"id":"W1974643014","doi":"10.1088/0951-7715/16/5/319","title":"A note on the relation between period and energy of periodic orbits near equilibrium points","year":2003,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Institut National de la Recherche Scientifique","funders":"","keywords":"Mathematics; Equilibrium point; Degenerate energy levels; Infinity; Periodic orbits; Zero (linguistics); Ordinary differential equation; Mathematical analysis; Period (music); Amplitude; Differential equation; Physics; Quantum mechanics","score_opus":0.04056282872217386,"score_gpt":0.3023872870141836,"score_spread":0.26182445829200973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974643014","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7232705,0.008635337,0.21567263,0.0027982348,0.00048737408,0.000048773793,0.00033394678,0.00031696606,0.048436332],"genre_scores_gemma":[0.9617595,0.0032452028,0.02852664,0.00016815904,0.00035823704,0.000040325544,0.0001316387,0.00014541298,0.005624775],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997242,0.000051352006,0.000019152076,0.00007942238,0.000087725035,0.00003805135],"domain_scores_gemma":[0.9934597,0.004825279,0.00069982145,0.0004885846,0.0003111825,0.00021533099],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089864037,0.00035926537,0.00037535667,0.0011683356,0.0005514147,0.0010499631,0.0007876494,0.0007432296,0.0015284605],"category_scores_gemma":[0.008736019,0.00033738033,0.00038388418,0.0007019222,0.0015429447,0.0022179119,0.0012450098,0.0013917595,0.00029046088],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005713684,0.00010295773,0.05828166,0.0009243654,0.00014141928,0.0034082583,0.001973144,0.116167605,0.14462322,0.5731867,0.0044035004,0.09621579],"study_design_scores_gemma":[0.00004171579,0.00036771863,0.048065096,0.00026656306,0.00011007839,0.0045618396,0.0005391908,0.38483912,0.036936916,0.5094197,0.014656394,0.0001956939],"about_ca_topic_score_codex":0.00029312933,"about_ca_topic_score_gemma":0.00031647977,"teacher_disagreement_score":0.0015284605,"about_ca_system_score_codex":0.00027458815,"about_ca_system_score_gemma":0.00014494569,"threshold_uncertainty_score":0.005113244},"labels":[],"label_agreement":null},{"id":"W1975354331","doi":"10.1090/s0002-9939-09-10016-3","title":"Polynomials non-negative on a strip","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Polynomial; Mathematics; Physics; Mathematical analysis","score_opus":0.021893783008606008,"score_gpt":0.3060904154103593,"score_spread":0.2841966324017533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975354331","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37637672,0.0016151874,0.34984162,0.004470125,0.0015202824,0.00012631553,0.0016544702,0.0019626052,0.26243266],"genre_scores_gemma":[0.92189205,0.0006844294,0.021890173,0.0005114454,0.00062238326,0.000110108645,0.00091432256,0.0007074763,0.05266772],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99843305,0.00021902444,0.000055078835,0.00043157666,0.00049781875,0.00036340527],"domain_scores_gemma":[0.9973188,0.0011394452,0.00028835124,0.00028260608,0.00072194764,0.00024890382],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013703979,0.0016041778,0.0010138863,0.0019277269,0.0012862503,0.0027227183,0.0015389718,0.00078621414,0.020872274],"category_scores_gemma":[0.0057809507,0.0006234317,0.0013136187,0.0011873704,0.0031533286,0.0043435283,0.0027679182,0.0034659258,0.0070729787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00102584,0.0001234107,0.0028119371,0.0004850418,0.0001069377,0.0018221441,0.00083293335,0.005354744,0.015312941,0.9202806,0.019582834,0.032260705],"study_design_scores_gemma":[0.0003057509,0.00044527755,0.003808557,0.00017340273,0.00018732739,0.0019475056,0.00075732055,0.04879551,0.023361212,0.8659252,0.054163653,0.00012921824],"about_ca_topic_score_codex":0.00156597,"about_ca_topic_score_gemma":0.0010361737,"teacher_disagreement_score":0.020872274,"about_ca_system_score_codex":0.0011600151,"about_ca_system_score_gemma":0.00074150943,"threshold_uncertainty_score":0.069824696},"labels":[],"label_agreement":null},{"id":"W1977507299","doi":"10.4153/cmb-2002-045-2","title":"Criteria for Simultaneous Solutions of <i>X</i><sup>2</sup> − <i>DY</i><sup>2</sup> = <i>c</i> and <i>x</i><sup>2</sup> − <i>Dy</i><sup>2</sup> = −<i>c</i>","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Diophantine equation; Pure mathematics; Square (algebra); Discrete mathematics; Algebra over a field; Geometry","score_opus":0.03571964801635275,"score_gpt":0.2664953362472899,"score_spread":0.23077568823093714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977507299","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5915586,0.0016284033,0.32417423,0.0038373005,0.00050803204,0.0008163106,0.0006839919,0.00056685583,0.07622622],"genre_scores_gemma":[0.9356588,0.0003397904,0.053327873,0.00020651077,0.0002525871,0.0005439054,0.00046466716,0.00013129892,0.009074455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99681145,0.0006133605,0.00045223607,0.0005466591,0.0010815605,0.0004947336],"domain_scores_gemma":[0.97508776,0.014464415,0.002943242,0.0006199337,0.004576954,0.0023077142],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003730678,0.0015380225,0.0015584223,0.0034518368,0.00273112,0.0032123725,0.0019597756,0.0031592157,0.012974196],"category_scores_gemma":[0.027891446,0.00094119087,0.0015011658,0.0010966402,0.0041279793,0.00458818,0.0057683275,0.0033176409,0.0013907029],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012738348,0.00025331404,0.0077156504,0.0008752935,0.00018558356,0.0041436963,0.003775322,0.019675622,0.042596668,0.884269,0.0051796003,0.030056419],"study_design_scores_gemma":[0.0006693965,0.0014205831,0.0039098095,0.00035419397,0.00019304616,0.0030673023,0.0038841565,0.1521384,0.04011948,0.776169,0.017773291,0.0003013577],"about_ca_topic_score_codex":0.0007609381,"about_ca_topic_score_gemma":0.0009356322,"teacher_disagreement_score":0.012974196,"about_ca_system_score_codex":0.0010316666,"about_ca_system_score_gemma":0.0014793756,"threshold_uncertainty_score":0.04340303},"labels":[],"label_agreement":null},{"id":"W1977702354","doi":"10.1016/j.jde.2004.11.001","title":"Geometry of quadratic differential systems in the neighborhood of infinity","year":2005,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Quadratic differential; Infinity; Quadratic equation; Differential (mechanical device); Pure mathematics; Affine transformation; Class (philosophy); Algebra over a field; Topology (electrical circuits); Discrete mathematics; Combinatorics; Mathematical analysis; Geometry","score_opus":0.04514543745726301,"score_gpt":0.3208898679269281,"score_spread":0.27574443046966507,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977702354","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75987643,0.0021542213,0.10489971,0.0049235383,0.00037052596,0.00008356631,0.00050960877,0.0001847617,0.12699771],"genre_scores_gemma":[0.97577614,0.0006693947,0.006134091,0.00021833355,0.00037129517,0.000028858298,0.00023369551,0.000045948,0.016522173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959177,0.00008914791,0.000018384504,0.000093796334,0.00014501852,0.0000618859],"domain_scores_gemma":[0.9991035,0.00020976613,0.00016606532,0.000048447928,0.00021427684,0.00025796975],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057854125,0.00054264016,0.0008515311,0.0018816969,0.0017599259,0.0025290812,0.0010026122,0.00076282694,0.0047509368],"category_scores_gemma":[0.0014317278,0.00036028356,0.0004975186,0.00062756415,0.002359278,0.0040115314,0.0014992944,0.0015201647,0.0004108705],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017585362,0.000008811372,0.00013339744,0.000014168505,0.0000040170826,0.000047423193,0.000114466,0.00089745544,0.0005274762,0.9970317,0.00040909485,0.0007943773],"study_design_scores_gemma":[0.000023179362,0.000035426005,0.0005483145,0.000006509396,0.0000060030134,0.00013673627,0.00013388098,0.008484933,0.00023269164,0.98783964,0.0025402426,0.000012455567],"about_ca_topic_score_codex":0.0022620847,"about_ca_topic_score_gemma":0.0012394228,"teacher_disagreement_score":0.0047509368,"about_ca_system_score_codex":0.001744541,"about_ca_system_score_gemma":0.0005511196,"threshold_uncertainty_score":0.01589346},"labels":[],"label_agreement":null},{"id":"W1978168485","doi":"10.1016/j.chaos.2012.05.002","title":"Using impulses to control the convergence toward invariant surfaces of continuous dynamical systems","year":2012,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"University of Waterloo; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior","keywords":"Invariant (physics); Ordinary differential equation; Dynamical systems theory; Control theory (sociology); Mathematics; LTI system theory; Surface (topology); Differential equation; Convergence (economics); Mathematical analysis; Applied mathematics; Linear system; Computer science; Control (management); Physics; Geometry; Artificial intelligence","score_opus":0.089586223591162,"score_gpt":0.3556074742318326,"score_spread":0.2660212506406706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978168485","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6606487,0.00025511076,0.32986394,0.00034695523,0.00017923352,0.000034654633,0.000017405464,0.00049205456,0.008161909],"genre_scores_gemma":[0.9920568,0.00006885577,0.0068415194,0.000020345635,0.000016791737,0.000013561298,0.000007282221,0.000026628722,0.0009482177],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99985886,0.000044229764,0.000008008475,0.00001873751,0.000043836833,0.000026294914],"domain_scores_gemma":[0.9984864,0.0010212783,0.00013796124,0.00008078249,0.0001487933,0.00012473046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057917077,0.00029353987,0.00026414415,0.00054813013,0.000287721,0.0008737069,0.00035220484,0.00047965505,0.0011214259],"category_scores_gemma":[0.0032102435,0.0001627046,0.00019860377,0.00015645695,0.0011681592,0.0006759411,0.00076696527,0.0006525363,0.00008544398],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00076507434,0.00027478096,0.0027906743,0.00014984794,0.000078978774,0.00024402472,0.00048232047,0.6763762,0.113691576,0.14012264,0.000878556,0.064145245],"study_design_scores_gemma":[0.000021196192,0.000080849284,0.00029524098,0.000006651061,0.0000066706198,0.00001807365,0.000024671683,0.97828877,0.005608666,0.0153573,0.00027925064,0.000012628396],"about_ca_topic_score_codex":0.00061568717,"about_ca_topic_score_gemma":0.0004699935,"teacher_disagreement_score":0.0011214259,"about_ca_system_score_codex":0.0004994379,"about_ca_system_score_gemma":0.0002335706,"threshold_uncertainty_score":0.003751576},"labels":[],"label_agreement":null},{"id":"W1978623774","doi":"10.1063/1.4723817","title":"Lagrange-Pizzetti theorem for the quasihomogeneous N-body problem","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Ministry of Advanced Education","keywords":"Homothetic transformation; Mathematics; Lagrange multiplier; n-body problem; Planar; Pure mathematics; Constant (computer programming); Mathematical analysis; Applied mathematics; Mathematical optimization; Geometry; Computer science","score_opus":0.05003190081928203,"score_gpt":0.3296259768360052,"score_spread":0.27959407601672315,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978623774","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20514181,0.0010882338,0.6721559,0.006160553,0.0004583711,0.000131977,0.0003975066,0.0001336494,0.11433198],"genre_scores_gemma":[0.84579265,0.0015100732,0.09682807,0.001025604,0.00048496068,0.0002809718,0.00039343003,0.000118688986,0.053565525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976116,0.00005874064,0.000007723811,0.000039258994,0.00007431237,0.00005867821],"domain_scores_gemma":[0.9997358,0.00009031694,0.000048033755,0.000023620314,0.00003898683,0.0000633234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008148487,0.0006106834,0.00056874123,0.00088807143,0.0012559801,0.0010971653,0.0011357134,0.0011551473,0.0070538726],"category_scores_gemma":[0.0016317035,0.00026863263,0.0006967411,0.00041135115,0.0020353545,0.0025415774,0.0026726285,0.0016470145,0.00067889725],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000049404275,0.000006408405,0.00008036267,0.00001949614,0.0000037621585,0.000036766403,0.000043690256,0.005925682,0.00036486963,0.9910103,0.0006484805,0.0018552906],"study_design_scores_gemma":[0.000015708405,0.000025042016,0.00022029864,0.000016003887,0.000003919256,0.0000900975,0.00009180024,0.1110109,0.00029922463,0.8851681,0.0030443529,0.000014566801],"about_ca_topic_score_codex":0.0019910631,"about_ca_topic_score_gemma":0.0013786941,"teacher_disagreement_score":0.0070538726,"about_ca_system_score_codex":0.00081122515,"about_ca_system_score_gemma":0.0010052851,"threshold_uncertainty_score":0.023597598},"labels":[],"label_agreement":null},{"id":"W1978933280","doi":"10.1142/s021812741350154x","title":"AN APPLICATION OF REGULAR CHAIN THEORY TO THE STUDY OF LIMIT CYCLES","year":2013,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Limit (mathematics); Computation; Limit cycle; Polynomial; Quadratic equation; Modular design; Planar; Focus (optics); Applied mathematics; Singular point of a curve; Mathematical analysis; Computer science; Algorithm; Geometry","score_opus":0.020034318741049127,"score_gpt":0.3272834146492058,"score_spread":0.3072490959081567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978933280","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06605096,0.00049532834,0.91762614,0.000224198,0.00006530728,0.000039919403,0.00003484603,0.00014073464,0.015322557],"genre_scores_gemma":[0.72972304,0.001047654,0.2604482,0.00009913806,0.00013121928,0.00008855377,0.00007933359,0.00012701978,0.008255898],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998492,0.000034152203,0.00000804732,0.00002632763,0.000060999642,0.00002121139],"domain_scores_gemma":[0.99970824,0.00010836649,0.000033772227,0.00005625981,0.000065335815,0.000028122004],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033894827,0.0003151342,0.0003855463,0.0008869755,0.0005300536,0.00057574763,0.0005274357,0.00036945188,0.0038077629],"category_scores_gemma":[0.0013098302,0.0001890008,0.00054318534,0.0004401804,0.0011472059,0.0012137954,0.0010363591,0.0007800998,0.00045148275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019992374,0.000021399648,0.0005394789,0.00008472746,0.0000150621345,0.00014353466,0.0002203701,0.052478,0.0077641816,0.91406465,0.00046112225,0.02418752],"study_design_scores_gemma":[0.000010905055,0.0000490187,0.00015609564,0.000023838827,0.000007994783,0.0001229039,0.00005797287,0.41695476,0.0035369094,0.57317317,0.005890783,0.00001571967],"about_ca_topic_score_codex":0.00094048947,"about_ca_topic_score_gemma":0.0007193355,"teacher_disagreement_score":0.0038077629,"about_ca_system_score_codex":0.00040708543,"about_ca_system_score_gemma":0.00046471486,"threshold_uncertainty_score":0.012738228},"labels":[],"label_agreement":null},{"id":"W1980780036","doi":"10.1007/s10450-006-0003-0","title":"Attraction Region of Planar Linear Systems with One Unstable Pole and Saturated Feedback","year":2006,"lang":"en","type":"article","venue":"Journal of Dynamical and Control Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Mathematics; Attraction; Saddle; Bounded function; Planar; Mathematical analysis; Boundary (topology); Saddle point; Bifurcation; Limit cycle; Stable manifold; Saturation (graph theory); Limit (mathematics); Control theory (sociology); Geometry; Nonlinear system; Combinatorics; Physics","score_opus":0.016299115625816714,"score_gpt":0.23478319980526266,"score_spread":0.21848408417944595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980780036","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8850341,0.0009866061,0.07533992,0.0005947293,0.000035624456,0.00013204031,0.00033827793,0.00036917513,0.037169512],"genre_scores_gemma":[0.9960712,0.00012001809,0.0012978115,0.000020979438,0.000009388162,0.000042936597,0.000051214014,0.000012414849,0.0023739946],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99986637,0.000035130346,0.0000040904765,0.000021868147,0.00003420083,0.000038301874],"domain_scores_gemma":[0.99882334,0.00073506264,0.00018999014,0.00002449057,0.00012910971,0.00009799806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042868327,0.0004840354,0.0007234756,0.0008829314,0.0007897414,0.001007045,0.0006679622,0.0006210148,0.0040441845],"category_scores_gemma":[0.0017178457,0.00033347742,0.0003867436,0.0002464903,0.00092640246,0.00060896267,0.0013716174,0.00037461967,0.00032956593],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004003194,0.00024797086,0.00583708,0.0012134883,0.0004641422,0.002738072,0.0023315921,0.68289495,0.09223571,0.17903636,0.00521129,0.023786107],"study_design_scores_gemma":[0.00011281115,0.0004279377,0.0026961796,0.000050293787,0.00007208094,0.0003533698,0.00036590992,0.96135944,0.0039769257,0.029394457,0.0011420774,0.00004852197],"about_ca_topic_score_codex":0.0031803045,"about_ca_topic_score_gemma":0.0011702769,"teacher_disagreement_score":0.0040441845,"about_ca_system_score_codex":0.00062750163,"about_ca_system_score_gemma":0.0007536738,"threshold_uncertainty_score":0.013529122},"labels":[],"label_agreement":null},{"id":"W1981268590","doi":"10.1090/s0002-9939-2014-12438-5","title":"Algebraic independence of local conjugacies and related questions in polynomial dynamics","year":2014,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Mathematics; Transcendental number; Algebraically closed field; Conjugacy class; Polynomial; Algebraic number; Degree (music); Independence (probability theory); Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis; Physics","score_opus":0.012310692812376211,"score_gpt":0.2782199367487868,"score_spread":0.2659092439364106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981268590","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78624904,0.0017340966,0.08645862,0.005309828,0.0002017161,0.00004476076,0.0002417299,0.00009334176,0.119666904],"genre_scores_gemma":[0.98892725,0.0006606152,0.003337809,0.00014577962,0.00038312827,0.000029582487,0.00011267651,0.000019940433,0.0063832887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989071,0.00022655982,0.000045443994,0.00027172323,0.0003250309,0.00022410597],"domain_scores_gemma":[0.99661654,0.0018959462,0.0004953487,0.00027180405,0.00025864464,0.00046177392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013613929,0.00038292308,0.0007251052,0.0016138401,0.001981207,0.002546947,0.00079342886,0.00072952587,0.0047248406],"category_scores_gemma":[0.0056175697,0.000447036,0.000647447,0.001374701,0.0057513155,0.006313742,0.003473073,0.003442863,0.00040132873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023378543,0.000016542052,0.00068261125,0.00002327248,0.000004284509,0.000061405866,0.00022170116,0.00074360974,0.0003460569,0.99403137,0.00032909235,0.0035166447],"study_design_scores_gemma":[0.000019870904,0.000026077993,0.001295949,0.000011495944,0.000008644011,0.00014701189,0.0001992169,0.0056886,0.00057448325,0.9894605,0.0025512544,0.00001688182],"about_ca_topic_score_codex":0.000781852,"about_ca_topic_score_gemma":0.0005266374,"teacher_disagreement_score":0.0047248406,"about_ca_system_score_codex":0.0017073676,"about_ca_system_score_gemma":0.0005212377,"threshold_uncertainty_score":0.015806139},"labels":[],"label_agreement":null},{"id":"W1982088565","doi":"10.1142/s0218127405013289","title":"TWELVE LIMIT CYCLES IN A CUBIC CASE OF THE 16th HILBERT PROBLEM","year":2005,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":76,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Limit (mathematics); Focus (optics); Saddle point; Mathematics; Limit cycle; Cubic function; Planar; Perturbation (astronomy); Saddle; Polynomial; Infinite-period bifurcation; Mathematical analysis; Applied mathematics; Bifurcation; Mathematical optimization; Computer science; Geometry; Hopf bifurcation; Physics","score_opus":0.024793153789520454,"score_gpt":0.3272674869929472,"score_spread":0.30247433320342676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982088565","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81378245,0.00048403785,0.14871326,0.0008006682,0.00004079591,0.00008393375,0.00009340316,0.00008764872,0.03591368],"genre_scores_gemma":[0.9740795,0.00014534709,0.018467385,0.000052344873,0.00001883756,0.000051238225,0.000047986505,0.00002152505,0.007115851],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99983656,0.00003391406,0.00000833745,0.000023585462,0.00005135141,0.00004618166],"domain_scores_gemma":[0.9995727,0.00016528595,0.00008160063,0.000040105428,0.000055062043,0.00008524492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003427483,0.00026260735,0.0003676705,0.0003967406,0.00084548746,0.00077399827,0.0004918036,0.00065066485,0.005048223],"category_scores_gemma":[0.0016265636,0.00019933094,0.00038257663,0.00020734782,0.0014686722,0.0009194082,0.0012728634,0.00077482814,0.0002770432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012937031,0.00004171505,0.0019102442,0.00015354595,0.000029432947,0.00082881487,0.0005564644,0.08756216,0.0069846716,0.88188416,0.001497933,0.018421471],"study_design_scores_gemma":[0.00006900326,0.000088327164,0.0011634144,0.000023907754,0.000012205892,0.000410594,0.00036318687,0.47835907,0.0041936515,0.50879145,0.006480959,0.000044309734],"about_ca_topic_score_codex":0.0018154286,"about_ca_topic_score_gemma":0.0014442729,"teacher_disagreement_score":0.005048223,"about_ca_system_score_codex":0.00061189116,"about_ca_system_score_gemma":0.0006854522,"threshold_uncertainty_score":0.016887963},"labels":[],"label_agreement":null},{"id":"W1983263567","doi":"10.1006/jsvi.1999.2673","title":"A STUDY OF THE LIMIT CYCLES ASSOCIATED WITH A GENERALIZED CODIMENSION-3 LIENARD OSCILLATOR","year":2000,"lang":"en","type":"article","venue":"Journal of Sound and Vibration","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Limit (mathematics); Codimension; Degenerate energy levels; Mathematics; Limit cycle; Periodic orbits; Liénard equation; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.036879622937771146,"score_gpt":0.28715820811947823,"score_spread":0.2502785851817071,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983263567","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9359886,0.00058620295,0.04088216,0.0005084226,0.00011182365,0.000041434694,0.000040184288,0.00006319482,0.02177797],"genre_scores_gemma":[0.9911549,0.00021596183,0.0042994753,0.00004500377,0.000040802828,0.00002219025,0.00002874418,0.000023614752,0.004169363],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999928,0.000020287756,0.000003994367,0.000013536888,0.000017084609,0.00001710267],"domain_scores_gemma":[0.9997193,0.00007442898,0.000049782506,0.000025529342,0.0000398022,0.0000910324],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029068446,0.00036338408,0.000593576,0.00083136256,0.0010842066,0.0014298782,0.00082147977,0.0009891494,0.003986535],"category_scores_gemma":[0.001406039,0.00025279605,0.0005681918,0.00050087104,0.0015308347,0.00095093966,0.00094986625,0.00055832905,0.00018707932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006921814,0.000060133283,0.0018958183,0.000071761904,0.00004411692,0.0008671857,0.00048041227,0.06333319,0.004828971,0.92247,0.00079190277,0.005087347],"study_design_scores_gemma":[0.000031815965,0.00006182603,0.0010689795,0.000025205394,0.00002093009,0.00030458346,0.0002697082,0.5285045,0.0007112726,0.4670625,0.0019116616,0.00002702123],"about_ca_topic_score_codex":0.0020269444,"about_ca_topic_score_gemma":0.0013895399,"teacher_disagreement_score":0.003986535,"about_ca_system_score_codex":0.00058178464,"about_ca_system_score_gemma":0.0005324191,"threshold_uncertainty_score":0.013336301},"labels":[],"label_agreement":null},{"id":"W1985305869","doi":"10.1007/s11425-013-4618-9","title":"Small-amplitude limit cycles of polynomial Liénard systems","year":2013,"lang":"fr","type":"article","venue":"Science China Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Hopf bifurcation; Limit (mathematics); Polynomial; Bifurcation; Limit cycle; Amplitude; Combinatorics; Mathematical analysis; Physics; Quantum mechanics; Nonlinear system","score_opus":0.04805591149242072,"score_gpt":0.293199457000829,"score_spread":0.24514354550840828,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1985305869","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86164266,0.00064953807,0.07530241,0.0013611631,0.00023236964,0.00007595539,0.000082461615,0.00024295527,0.060410526],"genre_scores_gemma":[0.99050903,0.00016337847,0.0026802863,0.0000657223,0.00007750563,0.0000320858,0.000039826984,0.000038669063,0.006393572],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99983084,0.000049338927,0.000007073594,0.000026762022,0.000048154554,0.000037791495],"domain_scores_gemma":[0.9995047,0.00011136494,0.00007751125,0.000042067328,0.000086699685,0.00017751878],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031474957,0.00042837992,0.00067534164,0.0012800363,0.0012327008,0.0018812589,0.0009156504,0.0010380924,0.004237444],"category_scores_gemma":[0.0025427844,0.00033059492,0.0004607563,0.00044496532,0.001745315,0.0017646386,0.0012713143,0.00096881646,0.0003443422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004435941,0.000039274368,0.0005565326,0.000027715392,0.000017969287,0.00013300459,0.00024500408,0.017329806,0.0027907714,0.97361904,0.0010424746,0.004154087],"study_design_scores_gemma":[0.000019811176,0.000027743747,0.0006026814,0.000007850015,0.000008515441,0.00009224732,0.00012088618,0.19080107,0.0004597369,0.8064985,0.0013425408,0.000018369317],"about_ca_topic_score_codex":0.0018308155,"about_ca_topic_score_gemma":0.0011329326,"teacher_disagreement_score":0.004237444,"about_ca_system_score_codex":0.0009922354,"about_ca_system_score_gemma":0.0005948554,"threshold_uncertainty_score":0.014175653},"labels":[],"label_agreement":null},{"id":"W1985488393","doi":"10.1142/s0218127409022981","title":"CRITICAL PERIODS OF PLANAR REVERTIBLE VECTOR FIELD WITH THIRD-DEGREE POLYNOMIAL FUNCTIONS","year":2009,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Degree (music); Planar; Polynomial; Vector field; Computation; Mathematics; Mathematical analysis; Physics; Computer science; Geometry; Algorithm","score_opus":0.03225457143269193,"score_gpt":0.33064226505740385,"score_spread":0.2983876936247119,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1985488393","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93192434,0.00074663473,0.045274742,0.00020084709,0.000050768835,0.000038102433,0.00008255194,0.00013258203,0.021549417],"genre_scores_gemma":[0.99611306,0.00019082833,0.0016968878,0.000012708095,0.000017757962,0.000014279786,0.000041258583,0.000014670711,0.0018983564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998857,0.000015019874,0.0000049199,0.000017926375,0.000024209185,0.00005222307],"domain_scores_gemma":[0.9996847,0.000052808136,0.000093104805,0.000027038408,0.0000733225,0.000069122085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019342164,0.00031724706,0.0002722745,0.0009680787,0.0006412147,0.0007941244,0.00030297253,0.0003048867,0.0035881856],"category_scores_gemma":[0.0009801189,0.00012796096,0.0003227213,0.00027841478,0.0009484257,0.0010777694,0.00063931575,0.00045019967,0.0002569692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004226821,0.00008469264,0.0060059973,0.0002471764,0.000059615086,0.0009409944,0.00052422745,0.1334789,0.041170914,0.78443176,0.002481371,0.03015159],"study_design_scores_gemma":[0.00008898445,0.0003922047,0.008636497,0.000051612948,0.0000509547,0.0010465941,0.0006857271,0.54693544,0.021206085,0.41450527,0.0063115023,0.00008906554],"about_ca_topic_score_codex":0.0008397472,"about_ca_topic_score_gemma":0.00040354,"teacher_disagreement_score":0.0035881856,"about_ca_system_score_codex":0.00064188574,"about_ca_system_score_gemma":0.00033313708,"threshold_uncertainty_score":0.01200372},"labels":[],"label_agreement":null},{"id":"W1986508368","doi":"10.1007/bf02969388","title":"Finite cyclicity of finite codimension nondegerate homoclinic loops with real eigenvalues in ℝ3","year":2001,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Homoclinic orbit; Codimension; Mathematics; Eigenvalues and eigenvectors; Tangent; Mathematical analysis; Pure mathematics; Upper and lower bounds; Computation; Bifurcation; Geometry; Nonlinear system; Physics","score_opus":0.0814150251659622,"score_gpt":0.38678167262577723,"score_spread":0.305366647459815,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986508368","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9546176,0.00021281175,0.021901999,0.00030291942,0.00006311875,0.000023704386,0.0000714606,0.00013212548,0.022674166],"genre_scores_gemma":[0.9951828,0.000068254216,0.0020672577,0.00004905751,0.000041484946,0.000025448808,0.000048005077,0.000023953613,0.0024937445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976903,0.000045530818,0.00001094737,0.000049670405,0.00006636666,0.00005845648],"domain_scores_gemma":[0.99845624,0.0005986504,0.0003202069,0.00013788276,0.00020115887,0.0002859532],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044814553,0.00039902265,0.00033680443,0.0015766241,0.0010943026,0.0021601017,0.0007136332,0.0007521334,0.0034888878],"category_scores_gemma":[0.0026136108,0.0003321388,0.0003576937,0.00061112794,0.0028965839,0.0015754611,0.0011027455,0.0008007796,0.00022345706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008031769,0.000037867238,0.001036998,0.000041008534,0.0000113435435,0.00018867002,0.0004626718,0.003579459,0.004759297,0.9855495,0.00058265036,0.0036702626],"study_design_scores_gemma":[0.00003063689,0.00004384131,0.001222541,0.00001635996,0.000008948793,0.00019628067,0.00021276542,0.02547738,0.0019222551,0.9699407,0.0009028583,0.000025415568],"about_ca_topic_score_codex":0.0010033346,"about_ca_topic_score_gemma":0.00088200654,"teacher_disagreement_score":0.0034888878,"about_ca_system_score_codex":0.0009529115,"about_ca_system_score_gemma":0.0005282895,"threshold_uncertainty_score":0.011671543},"labels":[],"label_agreement":null},{"id":"W1987871125","doi":"10.1090/s0002-9939-08-09111-9","title":"A cancellation conjecture for free associative algebras","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Bulgarian National Science Fund; Centre de Recherches Mathématiques","keywords":"Conjecture; Associative property; Mathematics; Rank (graph theory); Zero (linguistics); Polynomial; Collatz conjecture; Free probability; Associative algebra; Combinatorics; Pure mathematics; Algebra over a field; Discrete mathematics; Subalgebra; Division algebra; Mathematical analysis; Philosophy","score_opus":0.030178356374526132,"score_gpt":0.29313825464758936,"score_spread":0.2629598982730632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987871125","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15468495,0.0011810861,0.65299535,0.0067214705,0.0018728442,0.00017314545,0.00034165086,0.0012922717,0.18073727],"genre_scores_gemma":[0.8578723,0.0007497187,0.08976459,0.0022924081,0.0014845564,0.00015795078,0.00066811,0.00030796678,0.046702415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969215,0.0006237429,0.00019792255,0.00042460265,0.0014094224,0.0004227731],"domain_scores_gemma":[0.9954869,0.0019549686,0.00025881335,0.00083181064,0.0010183465,0.00044919446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031732966,0.00058896455,0.00078471267,0.0018470293,0.0031991652,0.0033586544,0.0016796059,0.0017120448,0.009399376],"category_scores_gemma":[0.009946509,0.00049016887,0.0013675224,0.0009609574,0.0038163138,0.010073269,0.004486968,0.0027497998,0.0018017053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042160642,0.000028049923,0.0006182275,0.000059256778,0.000008071446,0.00025289657,0.00031879244,0.0007583215,0.0018769711,0.9846719,0.0035690449,0.007796336],"study_design_scores_gemma":[0.000018463545,0.000015813912,0.00016829977,0.000018074907,0.000008601279,0.00027388628,0.000076817,0.0068942034,0.0020276974,0.9813828,0.009089715,0.000025744195],"about_ca_topic_score_codex":0.0012139527,"about_ca_topic_score_gemma":0.0011198854,"teacher_disagreement_score":0.009399376,"about_ca_system_score_codex":0.0010660986,"about_ca_system_score_gemma":0.0013796989,"threshold_uncertainty_score":0.031444073},"labels":[],"label_agreement":null},{"id":"W1987997039","doi":"10.1016/j.jde.2004.04.002","title":"An explicit expression for the first return map in the center problem","year":2004,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Center (category theory); Mathematics; Planar; Focus (optics); Expression (computer science); Polynomial; Point (geometry); Characterization (materials science); Mathematical analysis; Geometry; Computer science; Computer graphics (images)","score_opus":0.046112654765336776,"score_gpt":0.33013328936745073,"score_spread":0.28402063460211396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987997039","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.113542825,0.0029115137,0.67289644,0.0092351,0.0017403233,0.00017717875,0.00027177943,0.00057899154,0.1986459],"genre_scores_gemma":[0.7477616,0.0025590677,0.121009685,0.0013181542,0.001688967,0.00026736569,0.00029215353,0.0010030493,0.12409993],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996693,0.000098838915,0.000017140334,0.000060929084,0.000084999876,0.000068799294],"domain_scores_gemma":[0.9987858,0.00051036896,0.00011489145,0.00009234033,0.00024677877,0.0002497675],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001423788,0.0010840337,0.0012361805,0.0021375765,0.0013803961,0.0027691189,0.0018555745,0.0027614068,0.013074575],"category_scores_gemma":[0.006411168,0.0003930467,0.0009312038,0.000977052,0.0026040385,0.0052692383,0.0029426366,0.0032023964,0.0016073848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012375164,0.000018079973,0.00005948157,0.000033197153,0.00000386659,0.000054856857,0.000081348655,0.0014650463,0.0006211524,0.9935503,0.0014338066,0.002666524],"study_design_scores_gemma":[0.000026036623,0.000019597383,0.0001848725,0.000036630787,0.000012070869,0.00020997641,0.00012227555,0.06011585,0.00087120046,0.93374413,0.004630352,0.000026983125],"about_ca_topic_score_codex":0.001381776,"about_ca_topic_score_gemma":0.0012846502,"teacher_disagreement_score":0.013074575,"about_ca_system_score_codex":0.0015454581,"about_ca_system_score_gemma":0.0017314851,"threshold_uncertainty_score":0.043738842},"labels":[],"label_agreement":null},{"id":"W1988583185","doi":"10.1007/s10884-006-9063-9","title":"Singularity Analysis on a Planar System with Multiple Delays","year":2006,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"National Natural Science Foundation of China; National Science Foundation","keywords":"Singularity; Mathematics; Partial differential equation; Ordinary differential equation; Planar; Applied mathematics; Calculus (dental); Topology (electrical circuits); Control theory (sociology); Mathematical analysis; Computer science; Differential equation; Combinatorics; Control (management); Artificial intelligence; Medicine","score_opus":0.014689503789396447,"score_gpt":0.25627285221358886,"score_spread":0.2415833484241924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988583185","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4285069,0.0008891374,0.55600995,0.0009960611,0.0001749098,0.00006621483,0.00012897962,0.00019360342,0.013034185],"genre_scores_gemma":[0.9861649,0.000357544,0.008919892,0.000055839966,0.000059998216,0.000014716242,0.00005003047,0.000028878336,0.0043482156],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998473,0.000030882617,0.0000084203875,0.00003238366,0.00004929689,0.000031665913],"domain_scores_gemma":[0.99931896,0.00023761437,0.00016536932,0.000034564,0.00015208928,0.000091400725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003693237,0.00072679017,0.0010904046,0.0013420761,0.0005674831,0.0009902121,0.00095131755,0.0011332813,0.00181558],"category_scores_gemma":[0.0016725337,0.00028506125,0.0006640658,0.00072722003,0.0011245747,0.0011313575,0.0013873593,0.00080085365,0.00013997481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031074963,0.00007920606,0.0018928357,0.0002072935,0.00014575492,0.0021307627,0.0003182035,0.5992603,0.023667663,0.35237828,0.0017634513,0.017845515],"study_design_scores_gemma":[0.000014585876,0.000050867486,0.00033771736,0.0000054621923,0.000019218189,0.0001525871,0.00004865906,0.96181095,0.0005329888,0.036668725,0.0003395776,0.000018688686],"about_ca_topic_score_codex":0.0020683035,"about_ca_topic_score_gemma":0.0008171051,"teacher_disagreement_score":0.0020683035,"about_ca_system_score_codex":0.0006884348,"about_ca_system_score_gemma":0.0005231056,"threshold_uncertainty_score":0.006073773},"labels":[],"label_agreement":null},{"id":"W1990715765","doi":"10.4153/cmb-2010-044-6","title":"Invariant Theory of Abelian Transvection Groups","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Surjective function; Abelian group; Invariant (physics); Pure mathematics; Algebraically closed field; Homogeneous; Discrete mathematics; Combinatorics; Mathematical physics","score_opus":0.02035252743642177,"score_gpt":0.2512011898094889,"score_spread":0.23084866237306714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990715765","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80897474,0.001090147,0.062381085,0.0010884115,0.00026310325,0.000033474495,0.00013011036,0.00025475465,0.12578422],"genre_scores_gemma":[0.9893925,0.00017023094,0.001960081,0.0000635556,0.00015561169,0.000011502194,0.000072130235,0.000015292422,0.008159129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996728,0.0000639799,0.000013134653,0.000061207444,0.00010113908,0.0000877966],"domain_scores_gemma":[0.99951065,0.0001068325,0.00007886648,0.000052066003,0.00010868327,0.00014292673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033440514,0.00028407044,0.00027738625,0.001097872,0.00060996384,0.001233324,0.00039438534,0.00027207498,0.004468327],"category_scores_gemma":[0.0005704024,0.0001156076,0.00030527762,0.00037267056,0.0015910903,0.0015161082,0.0011755857,0.00060014334,0.00040876667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001773437,0.000011723303,0.00025962212,0.000012327075,0.0000041975773,0.000075288925,0.00018359102,0.0006135385,0.0011149634,0.9944825,0.0003944523,0.0028299883],"study_design_scores_gemma":[0.000018671684,0.000058204263,0.00060438877,0.0000090335225,0.000007742043,0.00017763618,0.00019383519,0.009296941,0.0016230876,0.9816274,0.006373955,0.000009045083],"about_ca_topic_score_codex":0.0005827278,"about_ca_topic_score_gemma":0.00032856484,"teacher_disagreement_score":0.004468327,"about_ca_system_score_codex":0.0006687272,"about_ca_system_score_gemma":0.00032169497,"threshold_uncertainty_score":0.01494801},"labels":[],"label_agreement":null},{"id":"W1990739877","doi":"10.1007/s00332-015-9248-7","title":"Stochastic Perturbations of Periodic Orbits with Sliding","year":2015,"lang":"en","type":"article","venue":"Journal of Nonlinear Science","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Periodic orbits; Mathematics; Mathematical analysis","score_opus":0.07221782252554954,"score_gpt":0.3390196008210615,"score_spread":0.26680177829551194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990739877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8377033,0.0005736521,0.1435647,0.0012668207,0.00037171433,0.000063414926,0.00015768589,0.00019818137,0.01610056],"genre_scores_gemma":[0.9943402,0.00013810706,0.0014151424,0.000039324674,0.000067778805,0.000013926612,0.00004007891,0.000018386057,0.0039270525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997856,0.000052573665,0.00001566997,0.000034672932,0.000071100214,0.000040408697],"domain_scores_gemma":[0.9989299,0.0003298624,0.0002719335,0.00008191653,0.00013954073,0.00024678168],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005545576,0.00065922184,0.00072086934,0.000972613,0.0006394391,0.0010597117,0.0008838619,0.001155374,0.0026690022],"category_scores_gemma":[0.0035933398,0.00043744617,0.0007615816,0.00036749511,0.0016223607,0.0012162849,0.0015165032,0.00079234206,0.00016231474],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005793819,0.00013353438,0.0033693083,0.00012724927,0.00019935485,0.0012593806,0.00030182113,0.48156324,0.0177071,0.48409984,0.0020245232,0.008635165],"study_design_scores_gemma":[0.00002621938,0.00008344638,0.0018154605,0.000011749036,0.00001830296,0.00011330332,0.00007855047,0.9147521,0.0006136439,0.081969365,0.00049254,0.000025280087],"about_ca_topic_score_codex":0.0035233332,"about_ca_topic_score_gemma":0.0017233226,"teacher_disagreement_score":0.0035233332,"about_ca_system_score_codex":0.0010392417,"about_ca_system_score_gemma":0.0005856022,"threshold_uncertainty_score":0.008928716},"labels":[],"label_agreement":null},{"id":"W1993408116","doi":"10.1115/imece2004-61239","title":"On Control of a Two-Link Non-Fixed-Base Inverted Pendulum With Guaranteed Uniqueness","year":2004,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Uniqueness; Mathematics; Lyapunov function; Inverted pendulum; Lipschitz continuity; Control theory (sociology); Nonlinear system; Ordinary differential equation; Fixed point; Discontinuity (linguistics); Stability theory; Controller (irrigation); Equilibrium point; Differential equation; Function (biology); Mathematical analysis; Computer science; Control (management); Physics","score_opus":0.019511942975277648,"score_gpt":0.2839508951375637,"score_spread":0.2644389521622861,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993408116","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13057888,0.00059778226,0.85952735,0.00023685774,0.00014767658,0.0001360655,0.000030240515,0.00038380595,0.008361424],"genre_scores_gemma":[0.97971183,0.00022382448,0.017572677,0.000044418015,0.000021347838,0.000116773816,0.000019123292,0.0000122713955,0.0022776164],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979883,0.000032795502,0.000012058682,0.000040336152,0.000071290866,0.000044777895],"domain_scores_gemma":[0.99978894,0.00007026025,0.000052708834,0.000014449081,0.000056752815,0.000017010474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052382436,0.0009363707,0.0007997966,0.00049260195,0.00068139506,0.0008537173,0.0008865277,0.0008730112,0.0008173337],"category_scores_gemma":[0.0005978813,0.0002336334,0.0005073117,0.00033246257,0.0007208267,0.00041663746,0.00089257734,0.00050324877,0.00017050107],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003492525,0.00012676156,0.001126134,0.0005658034,0.00014776687,0.0015887291,0.00054281834,0.75676346,0.08676297,0.03662908,0.0012849967,0.11411218],"study_design_scores_gemma":[0.00003416452,0.00035301739,0.00035216747,0.000016316064,0.000020385767,0.000106316715,0.000023267292,0.98922753,0.006461184,0.0022164322,0.0011709029,0.000018355653],"about_ca_topic_score_codex":0.0028056535,"about_ca_topic_score_gemma":0.0018597929,"teacher_disagreement_score":0.0028056535,"about_ca_system_score_codex":0.0003891341,"about_ca_system_score_gemma":0.00052218005,"threshold_uncertainty_score":0.005578637},"labels":[],"label_agreement":null},{"id":"W1993656094","doi":"10.1016/j.bulsci.2006.04.005","title":"On the number of limit cycles of some systems on the cylinder","year":2006,"lang":"en","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Polar Knowledge Canada","keywords":"Mathematics; Limit (mathematics); Bounding overwatch; Pure mathematics; Mathematical analysis; Mathematical physics; Geography","score_opus":0.06636460503063496,"score_gpt":0.32375524959111657,"score_spread":0.2573906445604816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993656094","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9407908,0.00096133206,0.02862304,0.0012277603,0.00012986067,0.000054963817,0.00023537548,0.00011936521,0.027857391],"genre_scores_gemma":[0.98772717,0.00045141787,0.0058085495,0.00006627289,0.00012318078,0.00009137403,0.00018917653,0.00005122721,0.0054915287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991997,0.0002024847,0.00005599071,0.00014251974,0.00024783736,0.00015144331],"domain_scores_gemma":[0.9917923,0.004312335,0.0011135339,0.0004077086,0.00086187746,0.0015123147],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015982434,0.0006228473,0.0013042899,0.004732417,0.0034094884,0.0041432027,0.0016825149,0.0015825628,0.0057653175],"category_scores_gemma":[0.011924035,0.00058363687,0.0008777923,0.0016113634,0.004050687,0.004461873,0.002049771,0.0014886885,0.00030612366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028865028,0.00006892752,0.0035908176,0.00011916992,0.000051800092,0.0002404098,0.0005421942,0.014896171,0.003173549,0.96822226,0.0012879757,0.007518107],"study_design_scores_gemma":[0.000047734215,0.00009308634,0.002770869,0.000052831063,0.000045419823,0.00032533114,0.00034103807,0.10551705,0.0024394067,0.8858507,0.0024608849,0.00005565409],"about_ca_topic_score_codex":0.0017995874,"about_ca_topic_score_gemma":0.0014409758,"teacher_disagreement_score":0.0057653175,"about_ca_system_score_codex":0.0020800468,"about_ca_system_score_gemma":0.0011300698,"threshold_uncertainty_score":0.01928693},"labels":[],"label_agreement":null},{"id":"W1993890568","doi":"10.1155/2012/264526","title":"New Bifurcation Critical Criterion of Flip‐Neimark‐Sacker Bifurcations for Two‐Parameterized Family of <i>n</i>‐Dimensional Discrete Systems","year":2012,"lang":"en","type":"article","venue":"Discrete Dynamics in Nature and Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Parameterized complexity; Mathematics; Bifurcation; Flip; Applied mathematics; Pure mathematics; Mathematical analysis; Control theory (sociology); Computer science; Combinatorics; Physics; Nonlinear system; Quantum mechanics; Artificial intelligence","score_opus":0.021205246886266134,"score_gpt":0.35067678984253847,"score_spread":0.32947154295627235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993890568","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26442114,0.00068880786,0.71149606,0.00033845598,0.000082931205,0.00015365073,0.00016636468,0.00023446864,0.022418132],"genre_scores_gemma":[0.96953267,0.00018125089,0.02877927,0.000042305033,0.000029138697,0.000115750256,0.000109702654,0.000032144464,0.0011777326],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995365,0.00008264933,0.000039290582,0.00010107988,0.00016692215,0.000073478644],"domain_scores_gemma":[0.99876595,0.00039512973,0.00019575091,0.00006131765,0.0004487942,0.00013310877],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086856505,0.0005533108,0.00054963346,0.0017633699,0.00082107243,0.000987455,0.00056626607,0.0006673065,0.0019452132],"category_scores_gemma":[0.002780195,0.00016515676,0.00045467442,0.00038798086,0.0011548206,0.0011478831,0.0009512569,0.00064981123,0.00015200333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029249678,0.000078048506,0.0096927695,0.00038276246,0.00008334822,0.0012040898,0.0006829477,0.16864546,0.099446125,0.6647712,0.0037334154,0.05098744],"study_design_scores_gemma":[0.000021065514,0.00007750712,0.0018915657,0.000036665686,0.000013918782,0.0003754219,0.00012223341,0.89602727,0.012038336,0.08664577,0.002701302,0.00004902959],"about_ca_topic_score_codex":0.0010211685,"about_ca_topic_score_gemma":0.0004479973,"teacher_disagreement_score":0.0019452132,"about_ca_system_score_codex":0.0012204336,"about_ca_system_score_gemma":0.0006503267,"threshold_uncertainty_score":0.008854926},"labels":[],"label_agreement":null},{"id":"W1995383096","doi":"10.1016/j.cnsns.2013.11.019","title":"An explicit recursive formula for computing the normal forms associated with semisimple cases","year":2013,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Maple; Gravitational singularity; Computer science; Nonlinear system; Algebra over a field; Symbolic computation; Mathematics; Algorithm; Pure mathematics; Mathematical analysis","score_opus":0.0759245407042667,"score_gpt":0.39373527582221574,"score_spread":0.31781073511794905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995383096","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.049484804,0.0005091301,0.9223101,0.0003736647,0.0002776526,0.000096196534,0.0001415043,0.0008614942,0.025945362],"genre_scores_gemma":[0.45658967,0.00072429434,0.52311635,0.00025221045,0.0003126941,0.00022454995,0.0003797426,0.0008592145,0.017541341],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993876,0.00015447904,0.000053266205,0.000082307226,0.00024089268,0.00008146532],"domain_scores_gemma":[0.99800247,0.0010016548,0.000113487025,0.00033302928,0.0004145018,0.00013483873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016253385,0.001141557,0.00087028864,0.0023834559,0.0010145574,0.0030834957,0.0022484784,0.0010738786,0.009258876],"category_scores_gemma":[0.011226994,0.0005114214,0.0007692119,0.0016407697,0.0020151006,0.0044765878,0.002767268,0.0026508877,0.0026275706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060755036,0.000080990925,0.00081061624,0.00012660433,0.00002018074,0.00018133002,0.00040022892,0.014541273,0.0040008775,0.88944525,0.0032876674,0.087044284],"study_design_scores_gemma":[0.000023939552,0.000034017114,0.00031538747,0.000065415246,0.000022083805,0.00016638434,0.000107756605,0.19473834,0.0029013115,0.7961283,0.0054567945,0.00004028675],"about_ca_topic_score_codex":0.001219683,"about_ca_topic_score_gemma":0.0035859835,"teacher_disagreement_score":0.009258876,"about_ca_system_score_codex":0.001263042,"about_ca_system_score_gemma":0.0010089845,"threshold_uncertainty_score":0.03097397},"labels":[],"label_agreement":null},{"id":"W1995597815","doi":"10.1016/j.na.2007.03.040","title":"Intersection with the vertical isocline in the Liénard plane","year":2007,"lang":"en","type":"article","venue":"Nonlinear Analysis","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Intersection (aeronautics); Conjecture; Plane (geometry); Mathematics; Oscillation (cell signaling); Sense (electronics); Combinatorics; Physics; Geometry; Pure mathematics; Chemistry; Engineering; Electrical engineering","score_opus":0.024846008168268527,"score_gpt":0.3263420928344621,"score_spread":0.30149608466619354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995597815","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85800356,0.00045112148,0.03084895,0.00090301555,0.00014534748,0.00004379132,0.00016395713,0.00019825783,0.10924199],"genre_scores_gemma":[0.98799485,0.00019724149,0.0030474768,0.00006109831,0.00007455641,0.000023068455,0.00015681733,0.00003803222,0.008406933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997925,0.000039740327,0.000005795734,0.000027753966,0.000072813615,0.00006136008],"domain_scores_gemma":[0.9997948,0.00002298942,0.00004855974,0.000009956721,0.000040995266,0.00008275674],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019928267,0.00042843955,0.0007739563,0.0017603432,0.002041421,0.002193162,0.0006200525,0.0011180494,0.0043684775],"category_scores_gemma":[0.0006785063,0.00030241095,0.00039687473,0.0008634256,0.0015561025,0.0011421862,0.001684172,0.0013163,0.0006669864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012211931,0.000050637926,0.0014831872,0.000027425911,0.00002654152,0.00035284008,0.00022110924,0.01572624,0.0021881144,0.97356534,0.0017284254,0.004508106],"study_design_scores_gemma":[0.00008486971,0.00011566742,0.0034725768,0.000043982025,0.000024750132,0.00043257076,0.0005795919,0.13380702,0.0014935931,0.8530475,0.0068584923,0.000039337276],"about_ca_topic_score_codex":0.005440338,"about_ca_topic_score_gemma":0.002699322,"teacher_disagreement_score":0.005440338,"about_ca_system_score_codex":0.0014510597,"about_ca_system_score_gemma":0.0007066083,"threshold_uncertainty_score":0.014614046},"labels":[],"label_agreement":null},{"id":"W1995731991","doi":"10.1142/s0218127408022226","title":"LIMIT CYCLE BIFURCATIONS IN NEAR-HAMILTONIAN SYSTEMS BY PERTURBING A NILPOTENT CENTER","year":2008,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Nilpotent; Mathematics; Bifurcation; Limit cycle; Infinite-period bifurcation; Saddle-node bifurcation; Transcritical bifurcation; Bifurcation diagram; Limit (mathematics); Hamiltonian system; Hamiltonian (control theory); Mathematical analysis; Hopf bifurcation; Bifurcation theory; Center (category theory); Pitchfork bifurcation; Pure mathematics; Physics; Nonlinear system; Quantum mechanics","score_opus":0.029885942034568937,"score_gpt":0.29553834014595654,"score_spread":0.2656523981113876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995731991","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9715053,0.00015600298,0.02316768,0.0000930565,0.00001350555,0.000019539531,0.00001878957,0.000055429387,0.0049707177],"genre_scores_gemma":[0.9961281,0.00006732179,0.0030084688,0.000013020901,0.000005806227,0.0000111486515,0.000011628972,0.000007599719,0.0007469036],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999474,0.000013590651,0.0000028956485,0.00000820586,0.000016414371,0.000011484405],"domain_scores_gemma":[0.99987364,0.00003369198,0.000042594143,0.000011987483,0.00001389174,0.000024175255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014352362,0.00016942724,0.00027763285,0.00043185704,0.00045436484,0.00037293887,0.00024728096,0.00026270302,0.0013164431],"category_scores_gemma":[0.000527155,0.00012147468,0.00022702517,0.0001586633,0.0007596532,0.00038685495,0.0006030765,0.00021739554,0.000080011436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002740598,0.00014883245,0.007700145,0.0002307235,0.00014872554,0.0028933345,0.002355414,0.43059433,0.21295501,0.31952074,0.0010500818,0.022128649],"study_design_scores_gemma":[0.000027645594,0.000110961206,0.0029571545,0.000014483757,0.000023196464,0.00035366724,0.00027685,0.9137446,0.010735025,0.07034723,0.001382754,0.000026428916],"about_ca_topic_score_codex":0.00088443526,"about_ca_topic_score_gemma":0.00065859256,"teacher_disagreement_score":0.0013164431,"about_ca_system_score_codex":0.00032194995,"about_ca_system_score_gemma":0.00019008009,"threshold_uncertainty_score":0.0044040084},"labels":[],"label_agreement":null},{"id":"W1996019049","doi":"10.1016/j.jalgebra.2008.05.007","title":"Derivations of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi>R</mml:mi><mml:mo stretchy=\"false\">[</mml:mo><mml:mi>X</mml:mi><mml:mo>,</mml:mo><mml:mi>Y</mml:mi><mml:mo>,</mml:mo><mml:mi>Z</mml:mi><mml:mo stretchy=\"false\">]</mml:mo></mml:math> with a slice","year":2008,"lang":"lv","type":"article","venue":"Journal of Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Ottawa","keywords":"Mathematics; Locally nilpotent; Fibration; Kernel (algebra); Polynomial ring; Section (typography); Polynomial; Discrete mathematics; Combinatorics; Nilpotent; Pure mathematics; Mathematical analysis; Homotopy; Computer science; Nilpotent group","score_opus":0.021473975628535827,"score_gpt":0.25033021892614515,"score_spread":0.22885624329760934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996019049","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.007498369,0.0011361593,0.34252402,0.003763767,0.004269593,0.00019543743,0.009221529,0.0056400727,0.62575096],"genre_scores_gemma":[0.19879662,0.0027091566,0.25375867,0.0024603882,0.0021094377,0.00039279732,0.014524738,0.020880772,0.50436735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998711,0.00037931197,0.00011763358,0.00026368644,0.00039914937,0.00012919286],"domain_scores_gemma":[0.9980666,0.00042201203,0.00007685029,0.00039389156,0.0009280437,0.000112648806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012698832,0.0012063881,0.0006270494,0.0017370022,0.0020725243,0.0041377232,0.0015307035,0.0009750931,0.13094291],"category_scores_gemma":[0.004434085,0.0008303065,0.001365608,0.0013585874,0.0014313816,0.005488853,0.002923511,0.0032050721,0.093014106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042361404,0.000024635683,0.00012579767,0.00011408363,0.000014805654,0.00020958133,0.00039379427,0.00035874255,0.0016983068,0.8578829,0.11804532,0.021089736],"study_design_scores_gemma":[0.000032046963,0.000014705382,0.00023133215,0.000084518375,0.000018579045,0.0003729293,0.00017788535,0.0023263246,0.00531928,0.43877432,0.5525994,0.000048621732],"about_ca_topic_score_codex":0.0027198587,"about_ca_topic_score_gemma":0.0030118907,"teacher_disagreement_score":0.13094291,"about_ca_system_score_codex":0.0018073983,"about_ca_system_score_gemma":0.0013853817,"threshold_uncertainty_score":0.43804765},"labels":[],"label_agreement":null},{"id":"W1996946574","doi":"10.1016/j.anihpc.2010.01.005","title":"Multiple homoclinic solutions for singular differential equations","year":2010,"lang":"en","type":"article","venue":"Annales de l Institut Henri Poincaré C Analyse Non Linéaire","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Science Foundation Project of Chongqing, Chongqing Science and Technology Commission; Chongqing Science and Technology Commission; National Natural Science Foundation of China","keywords":"Homoclinic orbit; Mathematics; Exponential dichotomy; Codimension; Mathematical analysis; Homoclinic bifurcation; Bifurcation; Banach space; Ordinary differential equation; Differential equation; Pure mathematics; Nonlinear system; Physics","score_opus":0.06320060964259919,"score_gpt":0.3426522756127245,"score_spread":0.2794516659701253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996946574","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8759679,0.0010371474,0.11211864,0.0003611736,0.00006520687,0.000024914465,0.000043202068,0.00012834319,0.010253463],"genre_scores_gemma":[0.99121726,0.00031385876,0.006081259,0.000017885424,0.00003236125,0.000016028416,0.000024144807,0.00000886393,0.0022883478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998766,0.000030675114,0.00001049435,0.00001953287,0.00004763254,0.000015024108],"domain_scores_gemma":[0.9998481,0.000039974944,0.00004529271,0.000011786431,0.000027008913,0.00002772625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025040607,0.00035462462,0.0003913057,0.0010933278,0.00051104376,0.0007073831,0.00029091677,0.00049605605,0.0010560156],"category_scores_gemma":[0.0007578575,0.00018543002,0.00027618898,0.00036756342,0.000789802,0.0007415946,0.00075368566,0.0004896319,0.0001283547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012145313,0.000077137156,0.0027492289,0.00020380384,0.0000959077,0.0015900508,0.00076828996,0.07362028,0.0682747,0.8233464,0.0010607422,0.02809198],"study_design_scores_gemma":[0.0000387155,0.000083131614,0.0022171284,0.000033538017,0.000025486754,0.0006756687,0.00026909326,0.5699735,0.0072413944,0.41777554,0.0016327716,0.000034033757],"about_ca_topic_score_codex":0.00043822476,"about_ca_topic_score_gemma":0.00034412084,"teacher_disagreement_score":0.0010933278,"about_ca_system_score_codex":0.00051456457,"about_ca_system_score_gemma":0.00021461029,"threshold_uncertainty_score":0.0037334561},"labels":[],"label_agreement":null},{"id":"W1997429782","doi":"10.2298/aadm0901003i","title":"Some solvability theorems for nonlinear equations with applications to projected dynamical systems","year":2009,"lang":"en","type":"article","venue":"Applicable Analysis and Discrete Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Nonlinear system; Applied mathematics; Dynamical systems theory","score_opus":0.024033104635809377,"score_gpt":0.3187802926504087,"score_spread":0.2947471880145993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997429782","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.047479775,0.0019208676,0.92736584,0.0014425499,0.0002576463,0.00011620882,0.00020411845,0.00017024881,0.021042883],"genre_scores_gemma":[0.7669519,0.004963865,0.20956914,0.00063555466,0.0012869645,0.0006249382,0.0005458489,0.00018920895,0.01523264],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997155,0.00008297596,0.000023285667,0.000053181848,0.000089579116,0.00003547651],"domain_scores_gemma":[0.99845326,0.00106397,0.0001505164,0.000061427905,0.00019364103,0.000077108576],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013131796,0.00090737245,0.0005656263,0.0010949892,0.00082082365,0.0009627081,0.00062016933,0.0009161583,0.0052324715],"category_scores_gemma":[0.00440999,0.0002688399,0.0014501226,0.00048473952,0.0014550027,0.002430522,0.0019130919,0.0016517901,0.00044472874],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005139059,0.000055409106,0.00068637345,0.0004387445,0.000058157468,0.0006766056,0.00065910164,0.029123247,0.009751449,0.920368,0.0031722605,0.034959204],"study_design_scores_gemma":[0.000034763867,0.000097657634,0.0004824265,0.00007414601,0.000033609667,0.0005229264,0.00016162422,0.21063,0.004559638,0.7757302,0.0076384624,0.000034541263],"about_ca_topic_score_codex":0.00043585527,"about_ca_topic_score_gemma":0.00026366985,"teacher_disagreement_score":0.0052324715,"about_ca_system_score_codex":0.0004177333,"about_ca_system_score_gemma":0.00043802845,"threshold_uncertainty_score":0.017504394},"labels":[],"label_agreement":null},{"id":"W1997943184","doi":"10.4153/cjm-2008-032-x","title":"Uniform Linear Bound in Chevalley’s Lemma","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lemma (botany); Function (biology); Point (geometry); Upper and lower bounds; Pure mathematics; Set (abstract data type); Mathematical analysis; Geometry; Agronomy","score_opus":0.07547785983107205,"score_gpt":0.296349865611562,"score_spread":0.22087200578048996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997943184","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.219072,0.0032045261,0.5548433,0.007013126,0.00037003605,0.00013177343,0.00052776246,0.0010630653,0.21377452],"genre_scores_gemma":[0.95279413,0.00081415335,0.020550339,0.0008551181,0.00028279392,0.00017424705,0.00019810906,0.00030034606,0.024030803],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99659604,0.00078230083,0.00013025732,0.00078701065,0.0008463006,0.0008581175],"domain_scores_gemma":[0.9879367,0.0073347646,0.00061920466,0.0010988375,0.0021947685,0.00081564486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004328807,0.0011647147,0.0011612738,0.0032055473,0.0021717811,0.00416502,0.0022992066,0.0016061105,0.012998651],"category_scores_gemma":[0.016022244,0.00056088954,0.001412567,0.0015489248,0.0059688636,0.010061607,0.006177915,0.0060081445,0.0017456524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007300916,0.000023468341,0.000759768,0.000074942436,0.000019861936,0.000115362316,0.00029400084,0.0028244574,0.0016464781,0.9878395,0.0011557766,0.005173253],"study_design_scores_gemma":[0.000027086251,0.0000702067,0.0011172266,0.000066539935,0.00003622703,0.00017409732,0.00019453508,0.047694363,0.005463252,0.9409329,0.0041705547,0.00005299206],"about_ca_topic_score_codex":0.003486819,"about_ca_topic_score_gemma":0.0016910811,"teacher_disagreement_score":0.012998651,"about_ca_system_score_codex":0.0045216056,"about_ca_system_score_gemma":0.00093506277,"threshold_uncertainty_score":0.043484807},"labels":[],"label_agreement":null},{"id":"W1998107461","doi":"10.1142/s0218127413501046","title":"AN EXPLICIT RECURSIVE FORMULA FOR COMPUTING THE NORMAL FORM AND CENTER MANIFOLD OF GENERAL n-DIMENSIONAL DIFFERENTIAL SYSTEMS ASSOCIATED WITH HOPF BIFURCATION","year":2013,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Center manifold; Hopf bifurcation; Mathematics; Maple; Manifold (fluid mechanics); Center (category theory); Differential (mechanical device); Bifurcation; Applied mathematics","score_opus":0.018956742497931337,"score_gpt":0.28957474646960085,"score_spread":0.2706180039716695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998107461","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01683643,0.00010426223,0.97725874,0.00008916882,0.00003331398,0.00004451199,0.000053548432,0.00072870014,0.0048513366],"genre_scores_gemma":[0.24862416,0.00025763005,0.74638903,0.000054821754,0.00004623248,0.00020044339,0.00018874662,0.0002772597,0.0039617647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998479,0.000025333444,0.000011530405,0.00002070977,0.00007263607,0.000021946089],"domain_scores_gemma":[0.99946886,0.0002828825,0.000036581692,0.000063353065,0.00012584921,0.00002247635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044125144,0.00064547604,0.00055026327,0.0009241583,0.0006255419,0.00097015436,0.0010306746,0.00048583932,0.005386547],"category_scores_gemma":[0.003982317,0.00021846878,0.0003872147,0.0006603587,0.0006361624,0.0016801521,0.0009578664,0.000860826,0.0012024805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000825925,0.00009965446,0.0016765067,0.000299597,0.000028897903,0.0005084654,0.0003853524,0.22183101,0.020811785,0.39433193,0.0055004987,0.35444373],"study_design_scores_gemma":[0.000022570988,0.0000422001,0.0003382426,0.000028627197,0.000013854487,0.00021234412,0.00006785321,0.8852632,0.006227181,0.10260453,0.0051501202,0.0000291833],"about_ca_topic_score_codex":0.0022334473,"about_ca_topic_score_gemma":0.0051127663,"teacher_disagreement_score":0.005386547,"about_ca_system_score_codex":0.0007546232,"about_ca_system_score_gemma":0.0009240981,"threshold_uncertainty_score":0.018019855},"labels":[],"label_agreement":null},{"id":"W1998519015","doi":"10.4153/cjm-2011-093-8","title":"Cubic Polynomials with Periodic Cycles of a Specified Multiplier","year":2011,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Multiplier (economics); Cubic function; Pure mathematics; Combinatorics; Discrete mathematics; Mathematical analysis","score_opus":0.0865651848086271,"score_gpt":0.26883620117106605,"score_spread":0.18227101636243895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998519015","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9278984,0.00037029377,0.03325835,0.00036653757,0.00012718634,0.000052389314,0.0001791348,0.000112601025,0.03763517],"genre_scores_gemma":[0.98694545,0.00011107418,0.0065948567,0.000045974495,0.00005786899,0.000023797405,0.000058017307,0.000017874327,0.006145031],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984014,0.000022844859,0.000005330016,0.00002254024,0.000053014726,0.0000560251],"domain_scores_gemma":[0.99978477,0.000037864324,0.0000617574,0.000023958746,0.000036015626,0.000055677974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025753674,0.00029741268,0.00029839284,0.00077177,0.0008663136,0.0006731042,0.0003750122,0.00045389755,0.0034855832],"category_scores_gemma":[0.00069900404,0.00014425932,0.00029328448,0.00067592243,0.0011744084,0.0006678349,0.0007076491,0.00062107516,0.00026264493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024494558,0.00004253878,0.0010070389,0.00009765597,0.000012061818,0.0006832566,0.0004195537,0.011200589,0.01214408,0.96020013,0.0016557953,0.012292323],"study_design_scores_gemma":[0.00014009242,0.00021323138,0.0033064764,0.00006405512,0.000021976699,0.0010403388,0.00037967387,0.089999326,0.00939133,0.874959,0.020384423,0.000100154975],"about_ca_topic_score_codex":0.002205984,"about_ca_topic_score_gemma":0.0026276482,"teacher_disagreement_score":0.0034855832,"about_ca_system_score_codex":0.0010810874,"about_ca_system_score_gemma":0.0006944613,"threshold_uncertainty_score":0.011660457},"labels":[],"label_agreement":null},{"id":"W2000774266","doi":"10.4153/cmb-2008-023-8","title":"A Multivalued Nonlinear System with the Vector <i>p</i>-Laplacian on the Semi-Infinity Interval","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Interval (graph theory); Nonlinear system; Infinity; Degree (music); Laplace operator; Order (exchange); Boundary value problem; Applied mathematics; Pure mathematics; Mathematical analysis; Combinatorics","score_opus":0.036172998427240956,"score_gpt":0.24455733554364004,"score_spread":0.2083843371163991,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000774266","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6565899,0.00023238536,0.32187447,0.0009755707,0.00010680397,0.000045277247,0.00008436208,0.000119920194,0.01997121],"genre_scores_gemma":[0.98588693,0.00004856202,0.008258725,0.00005108571,0.000026171248,0.000029740113,0.000019601417,0.000011598447,0.0056674946],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998733,0.00003445193,0.0000043721125,0.000028548442,0.00003932673,0.000019937666],"domain_scores_gemma":[0.9998355,0.0000428119,0.00003752287,0.000010379358,0.000028670658,0.000045071913],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002744832,0.00035244736,0.0005491527,0.00027394565,0.00039419666,0.0010083229,0.0006773762,0.0007844518,0.0016500988],"category_scores_gemma":[0.00040288558,0.00015005989,0.00031021453,0.00020003787,0.0015285973,0.0007469591,0.0008884671,0.0007539888,0.00009550485],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022213791,0.00012224479,0.0015586003,0.00012920282,0.00005956815,0.0010300555,0.0004553775,0.54433095,0.06335421,0.3821823,0.0009438399,0.005611427],"study_design_scores_gemma":[0.00001986992,0.000052673724,0.00025332434,0.0000053655,0.0000056018484,0.000057748795,0.000078811994,0.979673,0.001731316,0.0176409,0.00046313845,0.000018244084],"about_ca_topic_score_codex":0.0034621614,"about_ca_topic_score_gemma":0.0016346922,"teacher_disagreement_score":0.0034621614,"about_ca_system_score_codex":0.00085137377,"about_ca_system_score_gemma":0.0006708672,"threshold_uncertainty_score":0.0068840384},"labels":[],"label_agreement":null},{"id":"W2000803234","doi":"10.1016/j.aml.2014.12.010","title":"Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation","year":2014,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Singular point of a curve; Quadratic equation; Limit (mathematics); Infinite-period bifurcation; Singular perturbation; Mathematical analysis; Limit cycle; Perturbation (astronomy); Planar; Center (category theory); Limit point; Bifurcation; Hopf bifurcation; Geometry; Physics; Quantum mechanics","score_opus":0.01743159268502968,"score_gpt":0.2416721357306284,"score_spread":0.2242405430455987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000803234","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92688286,0.00020062887,0.04302448,0.00047272793,0.00013398008,0.00008741153,0.00006365513,0.00023926981,0.028894912],"genre_scores_gemma":[0.9855871,0.000052473024,0.0071922885,0.00006858245,0.000023294471,0.000040683695,0.00006248744,0.00006859135,0.0069046034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979204,0.00003880677,0.00001256169,0.000042736658,0.00006414541,0.00004983962],"domain_scores_gemma":[0.9995285,0.000055646615,0.00006522751,0.0000392209,0.000095253585,0.0002162775],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037741422,0.00054075534,0.0008685783,0.0012471706,0.0022810162,0.0017722861,0.0010804783,0.0015748814,0.005783286],"category_scores_gemma":[0.0011041017,0.00041229508,0.0006772472,0.00051649206,0.0022691719,0.0011813556,0.002327046,0.00072988233,0.00048082313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00095894793,0.00042982184,0.0060010087,0.0002956161,0.00018471085,0.0039155064,0.0028303375,0.15830997,0.040068686,0.7607417,0.0038902005,0.022373443],"study_design_scores_gemma":[0.00010917253,0.00035750816,0.0037490895,0.000061148385,0.00006680129,0.00063607213,0.001356021,0.70630425,0.006287933,0.27612278,0.004822965,0.00012628103],"about_ca_topic_score_codex":0.0027248426,"about_ca_topic_score_gemma":0.002286008,"teacher_disagreement_score":0.005783286,"about_ca_system_score_codex":0.0012983023,"about_ca_system_score_gemma":0.0008575284,"threshold_uncertainty_score":0.019347012},"labels":[],"label_agreement":null},{"id":"W2000913406","doi":"10.4153/cmb-2010-057-8","title":"Smooth Mappings with Higher Dimensional Critical Sets","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Critical point (mathematics); Dimension (graph theory); Differential (mechanical device); Point (geometry); Pure mathematics; Mathematical analysis; Geometry","score_opus":0.019941548057215378,"score_gpt":0.2745790626156159,"score_spread":0.2546375145584005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000913406","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76156294,0.0048242933,0.1585223,0.0023558682,0.00034271696,0.00011360787,0.0003188172,0.00031185354,0.07164768],"genre_scores_gemma":[0.98137444,0.000801648,0.013532895,0.00016703834,0.00026135184,0.00007625892,0.00014511187,0.00003711544,0.0036042435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999321,0.00015220234,0.000041872732,0.00016317626,0.00018224331,0.0001396028],"domain_scores_gemma":[0.99434584,0.0029153887,0.00077635265,0.0003339481,0.0006912878,0.00093709974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013787781,0.0010058542,0.0010780832,0.006994261,0.0023858154,0.0037085614,0.00082835223,0.0010968847,0.0044830823],"category_scores_gemma":[0.007782105,0.00053570827,0.00088435475,0.0012239103,0.0044243103,0.0040482236,0.0033798248,0.0028157106,0.00025654398],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051636714,0.000024543873,0.001321729,0.000085436055,0.000029051136,0.00015827257,0.00016595081,0.0033887576,0.0024550408,0.98886466,0.0006903772,0.0027645414],"study_design_scores_gemma":[0.000022063386,0.00004009278,0.0023614555,0.00008328819,0.00003161067,0.00033486908,0.00021510248,0.030907385,0.002901976,0.9596687,0.0033854265,0.000048145575],"about_ca_topic_score_codex":0.0006553936,"about_ca_topic_score_gemma":0.00055192446,"teacher_disagreement_score":0.006994261,"about_ca_system_score_codex":0.0022826598,"about_ca_system_score_gemma":0.0005149873,"threshold_uncertainty_score":0.016561985},"labels":[],"label_agreement":null},{"id":"W2002880815","doi":"10.1007/s12346-014-0119-7","title":"Global Configurations of Singularities for Quadratic Differential Systems with Total Finite Multiplicity Three and at Most Two Real Singularities","year":2014,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"FP7 People: Marie-Curie Actions; Natural Sciences and Engineering Research Council of Canada; Agència de Gestió d'Ajuts Universitaris i de Recerca; Institució Catalana de Recerca i Estudis Avançats","keywords":"Mathematics; Gravitational singularity; Singularity; Quadratic differential; Equivalence relation; Pure mathematics; Multiplicity (mathematics); Quadratic equation; Equivalence (formal languages); Finite set; Mathematical analysis; Geometry","score_opus":0.041826054488528254,"score_gpt":0.3453182507212756,"score_spread":0.3034921962327473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002880815","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85598904,0.00095830695,0.11835384,0.00039601326,0.00007401717,0.000064660155,0.0001853846,0.00015797617,0.023820763],"genre_scores_gemma":[0.98531586,0.00023211441,0.011070202,0.00004156743,0.00004524197,0.00003885567,0.00023598925,0.000030905085,0.0029892197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935836,0.000083429455,0.000059599213,0.00019379013,0.00018864013,0.00011630275],"domain_scores_gemma":[0.99912924,0.00019907494,0.00024494788,0.00010678899,0.0001453009,0.00017465715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005152048,0.0005966164,0.00061809807,0.0019219422,0.0011532492,0.0021073632,0.00066036877,0.00066613674,0.0038780721],"category_scores_gemma":[0.001911933,0.00024520297,0.00068466447,0.0006467988,0.0029979327,0.0025669532,0.002099585,0.0012898798,0.00030432997],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011040581,0.000041484152,0.006979916,0.0001826924,0.000031124706,0.00087369804,0.0015263744,0.0127239,0.0062131323,0.949504,0.00076177216,0.021051466],"study_design_scores_gemma":[0.000033157703,0.00013034427,0.004533284,0.000077908386,0.000027831118,0.0007299636,0.0010560309,0.043113947,0.0031353335,0.9427349,0.004372391,0.00005490748],"about_ca_topic_score_codex":0.0006272894,"about_ca_topic_score_gemma":0.00031858584,"teacher_disagreement_score":0.0038780721,"about_ca_system_score_codex":0.0011829822,"about_ca_system_score_gemma":0.00027888687,"threshold_uncertainty_score":0.012973487},"labels":[],"label_agreement":null},{"id":"W2003728720","doi":"10.1017/s0305004112000114","title":"On the set of zero coefficients of a function satisfying a linear differential equation","year":2012,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Simon Fraser University","funders":"","keywords":"Homogeneous differential equation; Zero (linguistics); Constant coefficients; Linear differential equation; Differential equation; Power series; Constant (computer programming); Function (biology); Linear equation; Riccati equation","score_opus":0.07357298192883396,"score_gpt":0.29770793885989616,"score_spread":0.2241349569310622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003728720","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9483441,0.00048818262,0.033801317,0.0005291168,0.00005314266,0.000025669086,0.0003639807,0.00012256108,0.016271973],"genre_scores_gemma":[0.9901343,0.0002895742,0.0047820187,0.00006968796,0.00008841223,0.000056009572,0.00042623514,0.000057259444,0.004096609],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988525,0.00026083534,0.000082514896,0.00017994917,0.00033247416,0.00029176616],"domain_scores_gemma":[0.9964902,0.0017922295,0.0004756541,0.00019280947,0.0005608398,0.0004882974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014388771,0.00064324745,0.0017547004,0.003235754,0.0018983994,0.003824718,0.0014655092,0.0007884661,0.0031155373],"category_scores_gemma":[0.006802282,0.0005271495,0.00081751007,0.0013733989,0.0034813015,0.002365999,0.0026653023,0.0015055599,0.0004938073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016831454,0.000059810878,0.0034588063,0.00009919587,0.000044086468,0.00075348647,0.00065169216,0.005105672,0.0058391104,0.9784016,0.0011372245,0.004280998],"study_design_scores_gemma":[0.00014251468,0.000109216875,0.0026352059,0.00011746864,0.00006565357,0.0010044267,0.00080244517,0.07010414,0.005606064,0.9147806,0.004545,0.000087240114],"about_ca_topic_score_codex":0.0013149275,"about_ca_topic_score_gemma":0.0005990926,"teacher_disagreement_score":0.003824718,"about_ca_system_score_codex":0.0017532804,"about_ca_system_score_gemma":0.00091520697,"threshold_uncertainty_score":0.012721062},"labels":[],"label_agreement":null},{"id":"W2005008289","doi":"10.1142/s0218127406014691","title":"PLANE MAPS, SINGULARITIES AND QUASI-FIXED POINTS","year":2006,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Singularity; Gravitational singularity; Fixed point; Plane (geometry); Mathematics; Essential singularity; Singularity theory; Point (geometry); Mathematical analysis; Geometry","score_opus":0.01721650120431273,"score_gpt":0.2889797333963048,"score_spread":0.27176323219199205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005008289","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79842275,0.0033721945,0.15450788,0.00071955135,0.000104081126,0.00005849691,0.00012453849,0.00011181821,0.042578682],"genre_scores_gemma":[0.97861725,0.0016126776,0.013051689,0.000048307113,0.000056533318,0.00003253831,0.000071025075,0.00002966305,0.00648023],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99981457,0.000042556057,0.000011728536,0.000034887347,0.000061439896,0.000034972796],"domain_scores_gemma":[0.9995541,0.00013212244,0.000112139096,0.00005486529,0.000068437745,0.00007837855],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034867853,0.00043656674,0.00027012895,0.0011930276,0.0008018929,0.0014059587,0.00027273674,0.00058162387,0.0016616099],"category_scores_gemma":[0.0011638148,0.00020860664,0.00035931094,0.00056664506,0.0016891115,0.0019285457,0.00089855684,0.0007730942,0.00026030082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045812823,0.000021503183,0.0014180772,0.000079201855,0.000017529981,0.0006834245,0.0006010149,0.008439617,0.007799242,0.9694988,0.00055717415,0.010838694],"study_design_scores_gemma":[0.00001734801,0.00012579099,0.0020543425,0.00003836551,0.000017026103,0.0011686947,0.0006910497,0.03315518,0.0048655835,0.94741106,0.010428679,0.000026815569],"about_ca_topic_score_codex":0.0008296114,"about_ca_topic_score_gemma":0.00036104978,"teacher_disagreement_score":0.0016616099,"about_ca_system_score_codex":0.00053026713,"about_ca_system_score_gemma":0.00021752865,"threshold_uncertainty_score":0.00555861},"labels":[],"label_agreement":null},{"id":"W2006798731","doi":"10.1016/j.jde.2009.12.003","title":"The moduli space of germs of generic families of analytic diffeomorphisms unfolding of a codimension one resonant diffeomorphism or resonant saddle","year":2009,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Codimension; Diffeomorphism; Mathematics; Saddle; Pure mathematics; Moduli space; Space (punctuation); Mathematical analysis; Mathematical optimization; Computer science","score_opus":0.07054918782029812,"score_gpt":0.3146684781742413,"score_spread":0.2441192903539432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006798731","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9529528,0.00040077782,0.019570062,0.0007920065,0.00011520351,0.000041300547,0.00022359933,0.00016900616,0.025735263],"genre_scores_gemma":[0.9911186,0.00025640076,0.002439811,0.0000968644,0.00009911269,0.00003296692,0.00021775233,0.000044676442,0.005693735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997738,0.000028230585,0.000015008572,0.00006157065,0.000053630152,0.000067737674],"domain_scores_gemma":[0.9995553,0.00007993947,0.000116142655,0.000046213558,0.00004589636,0.00015653344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006379557,0.0008245882,0.0006916311,0.0025887645,0.0019147835,0.003069802,0.00075973285,0.0013012326,0.00676537],"category_scores_gemma":[0.001159645,0.00039200982,0.00065599603,0.0008223542,0.0018101705,0.003944935,0.0018712467,0.0011317348,0.00046270702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017447502,0.000064461936,0.0016395765,0.00007196669,0.00004645043,0.0005022398,0.0006245146,0.0013625026,0.007524924,0.9796417,0.0011333039,0.0072138375],"study_design_scores_gemma":[0.00011044715,0.00016957086,0.005633759,0.00006875206,0.00007866406,0.0019279877,0.0009911538,0.021803482,0.0040829573,0.95990294,0.005169591,0.000060693616],"about_ca_topic_score_codex":0.00025357548,"about_ca_topic_score_gemma":0.00015676144,"teacher_disagreement_score":0.00676537,"about_ca_system_score_codex":0.00092139764,"about_ca_system_score_gemma":0.00028342847,"threshold_uncertainty_score":0.02263242},"labels":[],"label_agreement":null},{"id":"W2007016375","doi":"10.1016/j.jmaa.2013.06.072","title":"Center conditions and integrable forms for the Poincaré problem","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Cape Breton University","funders":"","keywords":"Integrable system; Mathematics; Center (category theory); Poincaré conjecture; Parity (physics); Homogeneous; Degree (music); Differential equation; Polynomial; Pure mathematics; Class (philosophy); Homogeneous polynomial; Mathematical analysis; Combinatorics; Matrix polynomial; Quantum mechanics","score_opus":0.018544284702460934,"score_gpt":0.30464790578651507,"score_spread":0.2861036210840541,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007016375","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6069339,0.0018834603,0.22860554,0.0069098095,0.0006397865,0.00011623721,0.0004068127,0.00017542827,0.15432894],"genre_scores_gemma":[0.97104466,0.0007793095,0.009856427,0.00038134272,0.0005727679,0.00007519524,0.00030203798,0.00009484318,0.016893545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996679,0.000098960074,0.000018934345,0.00005786455,0.00008253211,0.00007373259],"domain_scores_gemma":[0.9984932,0.0005720615,0.00022334926,0.00008921663,0.0003485404,0.00027366835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010395601,0.00058367,0.000765715,0.0019296968,0.001433821,0.002513305,0.0008997502,0.0014027721,0.008280557],"category_scores_gemma":[0.0043910583,0.0003065498,0.00063865376,0.0008687948,0.0023746307,0.0042062025,0.0022109982,0.0020163946,0.0005424217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014747253,0.0000137462275,0.00009823747,0.00000920776,0.0000048025304,0.000040493673,0.00007145334,0.00045339976,0.0003991345,0.9970108,0.00056875526,0.0013150724],"study_design_scores_gemma":[0.00002573148,0.000009102072,0.00014405072,0.0000055149185,0.000003568504,0.00003521715,0.00008102459,0.0066061835,0.00020472331,0.9921021,0.00077438477,0.000008341601],"about_ca_topic_score_codex":0.0018554406,"about_ca_topic_score_gemma":0.0013684494,"teacher_disagreement_score":0.008280557,"about_ca_system_score_codex":0.0013940167,"about_ca_system_score_gemma":0.0012772572,"threshold_uncertainty_score":0.027701199},"labels":[],"label_agreement":null},{"id":"W2007708146","doi":"10.1007/s11784-008-0077-2","title":"On general algebraic mechanisms for producing centers in polynomial differential systems","year":2008,"lang":"en","type":"article","venue":"Journal of Fixed Point Theory and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Algebraic number; Polynomial; Differential (mechanical device); Pure mathematics; Combinatorics; Discrete mathematics; Algebra over a field; Mathematical analysis; Physics","score_opus":0.021854928075042405,"score_gpt":0.282517820310563,"score_spread":0.2606628922355206,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007708146","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18319084,0.0012956173,0.7251901,0.0029076245,0.00034985904,0.00036235995,0.00027189968,0.00070802995,0.08572361],"genre_scores_gemma":[0.9237688,0.0009649185,0.06319639,0.00034151992,0.00027175757,0.00019151265,0.00014816447,0.00022320743,0.010893669],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884486,0.00031574923,0.00008688249,0.00021095166,0.00028346528,0.0002580127],"domain_scores_gemma":[0.9936212,0.003313798,0.0006236744,0.0012968421,0.00068090117,0.00046368726],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025783682,0.0007575809,0.0013098009,0.0022461165,0.002359189,0.0042434544,0.0027577246,0.002298381,0.0122738015],"category_scores_gemma":[0.01107849,0.0006950261,0.0018110098,0.0014411192,0.0056082783,0.009293069,0.0045863013,0.0023132106,0.0009459024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000111158,0.000010668441,0.000067784196,0.00001602462,0.0000027077315,0.000026982778,0.00006915237,0.0013408561,0.00031513485,0.9964013,0.00026930118,0.0014689281],"study_design_scores_gemma":[0.000023371646,0.00001755288,0.000067804656,0.000009389924,0.000007759424,0.000056414872,0.000055222295,0.013602554,0.00061023777,0.98437923,0.0011550878,0.000015397427],"about_ca_topic_score_codex":0.000810524,"about_ca_topic_score_gemma":0.0007736275,"teacher_disagreement_score":0.0122738015,"about_ca_system_score_codex":0.0018495709,"about_ca_system_score_gemma":0.0009941335,"threshold_uncertainty_score":0.04105991},"labels":[],"label_agreement":null},{"id":"W2007726652","doi":"10.1016/j.jmaa.2007.01.015","title":"Intersection with the vertical isocline in the generalized Liénard equations","year":2007,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Intersection (aeronautics); Oscillation (cell signaling); Stability (learning theory); Mathematical analysis; Mathematical physics; Pure mathematics; Combinatorics","score_opus":0.02748996925509844,"score_gpt":0.3288141553897406,"score_spread":0.3013241861346422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007726652","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.894055,0.0005527677,0.031263657,0.0011401934,0.00020170599,0.000035882054,0.00012803545,0.0001629822,0.07245983],"genre_scores_gemma":[0.9877527,0.00020764935,0.0029615876,0.00006639429,0.00010839032,0.000024910545,0.000120830184,0.000043868007,0.008713723],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997341,0.0000598745,0.000009512849,0.00003582943,0.00008661833,0.00007401204],"domain_scores_gemma":[0.99963343,0.000047859845,0.000082796345,0.000020915239,0.00007584775,0.00013922599],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003044655,0.00051805674,0.0011902303,0.0020106798,0.0022348706,0.0031358849,0.0008401457,0.0013732048,0.003888872],"category_scores_gemma":[0.0011028491,0.0003693385,0.0006776546,0.0010066063,0.0021582248,0.0017741717,0.0018823248,0.001730919,0.00041630314],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056360954,0.000028338962,0.00071696274,0.000019615414,0.000015367741,0.00019121749,0.0001501121,0.008104662,0.00097420305,0.9865534,0.00088328065,0.0023064069],"study_design_scores_gemma":[0.000044401186,0.00004889681,0.0015676756,0.000026282883,0.000015281857,0.00024183861,0.00029576593,0.10435818,0.0006303653,0.89029604,0.0024441227,0.000031019703],"about_ca_topic_score_codex":0.00615447,"about_ca_topic_score_gemma":0.0035477828,"teacher_disagreement_score":0.00615447,"about_ca_system_score_codex":0.0016183979,"about_ca_system_score_gemma":0.0010110245,"threshold_uncertainty_score":0.013009608},"labels":[],"label_agreement":null},{"id":"W2009730448","doi":"10.4153/cmb-2011-010-7","title":"A Note about Analytic Solvability of Complex Planar Vector Fields with Degeneracies","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Tangent; Vector field; Planar; Plane (geometry); Class (philosophy); Complex plane; Mathematical analysis; Pure mathematics; Tangent vector; Geometry","score_opus":0.0648784875367712,"score_gpt":0.27696065641632356,"score_spread":0.21208216887955236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009730448","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7929518,0.00088510907,0.106483996,0.0040926426,0.0001754532,0.0000644399,0.0002483421,0.00025766814,0.09484047],"genre_scores_gemma":[0.9899671,0.00027348753,0.004997261,0.00014960919,0.00014638495,0.000029847875,0.000084786254,0.000045983765,0.0043055937],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993261,0.00015757313,0.000036330963,0.00012385372,0.00022917507,0.0001270025],"domain_scores_gemma":[0.99847144,0.0008066269,0.00022986167,0.00014011661,0.00015247012,0.00019943625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012202064,0.00056258467,0.0007773475,0.0017339454,0.0017820335,0.0028714617,0.000916442,0.0016232381,0.006044407],"category_scores_gemma":[0.005723936,0.00026727453,0.00076005503,0.0006788831,0.004574357,0.0039557302,0.0034784754,0.002053469,0.0003492105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003228433,0.000021549977,0.00049608166,0.00004084318,0.000012501845,0.00039789025,0.0004029686,0.0029250348,0.0015400817,0.99069047,0.00070508634,0.002735227],"study_design_scores_gemma":[0.000028488257,0.000026742748,0.00025528736,0.000018057503,0.0000061208893,0.000421278,0.00025322195,0.017136337,0.0006818802,0.9796265,0.0015314714,0.0000146511065],"about_ca_topic_score_codex":0.00070106983,"about_ca_topic_score_gemma":0.00025273697,"teacher_disagreement_score":0.006044407,"about_ca_system_score_codex":0.0008547878,"about_ca_system_score_gemma":0.00048156362,"threshold_uncertainty_score":0.020220578},"labels":[],"label_agreement":null},{"id":"W2011800405","doi":"10.4007/annals.2009.170.883","title":"The zero locus of an admissible normal function","year":2009,"lang":"en","type":"article","venue":"Annals of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Locus (genetics); Zero (linguistics); Algebraic curve; Pure mathematics; Algebraic number; Algebraic function; Mathematical analysis","score_opus":0.08656374780131464,"score_gpt":0.3657090480388216,"score_spread":0.27914530023750694,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011800405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86406285,0.0005822653,0.053010505,0.00090997614,0.000227612,0.000047453363,0.00023342378,0.00029300636,0.08063288],"genre_scores_gemma":[0.9830236,0.0003235538,0.0042135287,0.000060515024,0.00013137494,0.00002351558,0.0001687227,0.00007130025,0.011983805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992539,0.00010339648,0.000038875794,0.00015930549,0.000244099,0.00020045688],"domain_scores_gemma":[0.99865305,0.0002405988,0.00020912358,0.00013213759,0.00031558296,0.0004494073],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000721754,0.0009680262,0.0008411185,0.0040827324,0.001999592,0.0041596713,0.0009592916,0.0015213599,0.004193611],"category_scores_gemma":[0.0023246373,0.00033406608,0.00053671823,0.0014761391,0.006018602,0.004435689,0.0025781721,0.0021872262,0.001234197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009107365,0.00005383568,0.0010016329,0.000045232788,0.000011378024,0.00040997192,0.0005540568,0.0011203884,0.005018748,0.98315525,0.0005894664,0.007949008],"study_design_scores_gemma":[0.000052827727,0.00013584133,0.0017595377,0.00005941145,0.00002071994,0.0013257359,0.00078293757,0.008804366,0.0068515656,0.9708043,0.009327815,0.000074933836],"about_ca_topic_score_codex":0.0008686876,"about_ca_topic_score_gemma":0.00039068764,"teacher_disagreement_score":0.004193611,"about_ca_system_score_codex":0.0017031182,"about_ca_system_score_gemma":0.0008092418,"threshold_uncertainty_score":0.014029026},"labels":[],"label_agreement":null},{"id":"W2012361288","doi":"10.1007/bf02969379","title":"On the geometry in the neighborhood of infinity of quadratic differential systems with a weak focus","year":2001,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; Université de Montréal","funders":"","keywords":"Mathematics; Quadratic differential; Quadratic equation; Focus (optics); Invariant (physics); Divisor (algebraic geometry); Affine transformation; Pure mathematics; Invariant theory; Differential (mechanical device); Infinity; Differential algebraic geometry; Algebraic geometry; Differential geometry; Quadratic field; Algebra over a field; Quadratic function; Mathematical analysis; Geometry; Differential equation; Ordinary differential equation; Differential algebraic equation","score_opus":0.057748012983382044,"score_gpt":0.34381896409221296,"score_spread":0.2860709511088309,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012361288","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67098266,0.003977124,0.20769088,0.0068220613,0.00032970446,0.00012469215,0.0005569451,0.00016633795,0.109349556],"genre_scores_gemma":[0.97667104,0.0011089507,0.010866667,0.00032926732,0.00035574014,0.00006308477,0.00020898908,0.000053432286,0.010342791],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994605,0.00019386059,0.000024254274,0.00011083081,0.00013618909,0.000074336785],"domain_scores_gemma":[0.9982621,0.0006466489,0.00026863383,0.00009420075,0.00032348436,0.00040500922],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011942612,0.0006076669,0.0010727834,0.0019768614,0.0022413437,0.0023957528,0.0012790089,0.0011546885,0.0041290694],"category_scores_gemma":[0.00318744,0.00047492486,0.00074256095,0.00068732596,0.004448635,0.005969528,0.0026566782,0.0016513625,0.00024203151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014365716,0.000005823025,0.0001124014,0.000021765001,0.0000051046686,0.000042981585,0.00014803532,0.0012523001,0.00040010535,0.99726415,0.00023435068,0.0004985899],"study_design_scores_gemma":[0.000014512439,0.000028557248,0.00034946305,0.00000957583,0.0000066137436,0.000057592515,0.00013122559,0.009580613,0.00013884199,0.98848397,0.0011883426,0.000010652111],"about_ca_topic_score_codex":0.0026485552,"about_ca_topic_score_gemma":0.0013049844,"teacher_disagreement_score":0.0041290694,"about_ca_system_score_codex":0.0018629194,"about_ca_system_score_gemma":0.0006863094,"threshold_uncertainty_score":0.013813138},"labels":[],"label_agreement":null},{"id":"W2012598480","doi":"10.1007/s11856-012-0029-9","title":"Rings of differential operators on curves","year":2012,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Algebraically closed field; Pure mathematics; Nilpotent; Locally nilpotent; Ring (chemistry); Affine transformation; Dimension (graph theory); Polynomial ring; Subalgebra; Domain (mathematical analysis); Differential operator; Field (mathematics); Polynomial; Identity (music); Differential (mechanical device); Algebra over a field; Nilpotent group; Mathematical analysis","score_opus":0.05162397699218965,"score_gpt":0.33414798796282424,"score_spread":0.2825240109706346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012598480","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70896184,0.0064655077,0.12651323,0.0034518738,0.0007809181,0.00012384255,0.00083262345,0.00055914564,0.15231106],"genre_scores_gemma":[0.96243674,0.0022787391,0.01388932,0.00024691323,0.0010376755,0.000074426105,0.00033134897,0.00009683546,0.019608172],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878246,0.00029697205,0.00006847549,0.00028399253,0.00034665456,0.0002215274],"domain_scores_gemma":[0.99787223,0.0007269016,0.00034461488,0.0001641713,0.00032557297,0.00056649605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016336216,0.0011622793,0.0012202337,0.0043377583,0.0023625125,0.0049872813,0.0012340377,0.00088897947,0.0061603533],"category_scores_gemma":[0.0027934362,0.00065956183,0.0008686354,0.0026006685,0.004241968,0.0076819384,0.0027270503,0.0022296305,0.0007218661],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044355715,0.000021235941,0.00022770815,0.000028877901,0.0000106696325,0.00007370146,0.00031561247,0.00040295834,0.0006292257,0.99474746,0.00042572574,0.0030724425],"study_design_scores_gemma":[0.00004968935,0.000051645056,0.0007255359,0.000017602037,0.000021847256,0.00021209878,0.00019485028,0.0021411567,0.00063519564,0.9894574,0.0064709675,0.00002206199],"about_ca_topic_score_codex":0.0008402658,"about_ca_topic_score_gemma":0.00050381944,"teacher_disagreement_score":0.0061603533,"about_ca_system_score_codex":0.0019132219,"about_ca_system_score_gemma":0.0007351342,"threshold_uncertainty_score":0.020608425},"labels":[],"label_agreement":null},{"id":"W2013111265","doi":"10.1109/cdc.2014.7040268","title":"Real analytic control systems","year":2014,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Analytic function; Context (archaeology); Analytic element method; Topology (electrical circuits); Differentiable function; Vector field; Computer science; Global analytic function; Mathematics; Control theory (sociology); Pure mathematics; Control (management); Artificial intelligence; Engineering; Geometry; Combinatorics","score_opus":0.02426701303553811,"score_gpt":0.29784917918667725,"score_spread":0.2735821661511391,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013111265","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0072642313,0.0021423579,0.9328588,0.0018866643,0.00049716124,0.000094613846,0.00032359123,0.00040468547,0.054527853],"genre_scores_gemma":[0.63885057,0.005129283,0.2647172,0.0015839706,0.0012099989,0.0007720215,0.001175542,0.00020287605,0.08635859],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986731,0.000291384,0.000097807715,0.00038743566,0.00043796978,0.0001122519],"domain_scores_gemma":[0.99906415,0.00027361733,0.00016007287,0.00015361852,0.00027154162,0.000076971424],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010280655,0.0009348286,0.0007526453,0.00097050436,0.00065062055,0.0030235872,0.00090808247,0.0011062757,0.008646475],"category_scores_gemma":[0.0027389212,0.00024871575,0.00069059845,0.00073456625,0.0020279372,0.00227406,0.0027026846,0.0020595256,0.0017037424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010957743,0.000010525124,0.0000715851,0.00006434784,0.000012542309,0.00008320212,0.00009501445,0.012233682,0.0018446958,0.9672008,0.0020866096,0.016286083],"study_design_scores_gemma":[0.000033042805,0.00008567595,0.00025230314,0.00005327179,0.000013869065,0.00021971899,0.00010434337,0.14482942,0.0016880246,0.7782013,0.074482284,0.000036772803],"about_ca_topic_score_codex":0.001299305,"about_ca_topic_score_gemma":0.00066116353,"teacher_disagreement_score":0.008646475,"about_ca_system_score_codex":0.0012308564,"about_ca_system_score_gemma":0.0008637926,"threshold_uncertainty_score":0.02892536},"labels":[],"label_agreement":null},{"id":"W2014760113","doi":"10.1016/s0022-0396(03)00119-0","title":"PP-graphics with a nilpotent elliptic singularity in quadratic systems and Hilbert's 16th problem","year":2003,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; York University","keywords":"Mathematics; Nilpotent; Pure mathematics; Saddle; Quadratic equation; Singularity; Mathematical analysis; Algebra over a field; Geometry","score_opus":0.02987853682954377,"score_gpt":0.27802225039585293,"score_spread":0.24814371356630915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014760113","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55404097,0.0010493604,0.21130762,0.010788676,0.001214695,0.00017133562,0.00033725105,0.0006440135,0.22044617],"genre_scores_gemma":[0.9328721,0.0002928085,0.02093455,0.00068151084,0.00040206092,0.0000505065,0.00015376028,0.000213028,0.044399697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994821,0.00014034421,0.000031514646,0.00008613033,0.00013502564,0.0001249107],"domain_scores_gemma":[0.99925464,0.00021372654,0.00009449371,0.00009093735,0.00015036394,0.00019591636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008021011,0.0006040314,0.00093269954,0.0015954913,0.003027458,0.0036412901,0.0011576153,0.002404813,0.011973739],"category_scores_gemma":[0.0031580792,0.0005621012,0.00091708754,0.00085555937,0.0038581903,0.0054103886,0.0032200299,0.0035586907,0.0010338121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002753569,0.000012870444,0.000087897,0.000016360194,0.0000034201776,0.000097919205,0.00021468669,0.0007294837,0.00040623147,0.9948513,0.0012589205,0.0022933427],"study_design_scores_gemma":[0.000016592887,0.000012013939,0.000094523806,0.000006324251,0.0000025106951,0.000094051284,0.00012745627,0.0033220607,0.00021434501,0.9939341,0.002167018,0.000008989688],"about_ca_topic_score_codex":0.0013095913,"about_ca_topic_score_gemma":0.0008310478,"teacher_disagreement_score":0.011973739,"about_ca_system_score_codex":0.0014512761,"about_ca_system_score_gemma":0.000779121,"threshold_uncertainty_score":0.04005617},"labels":[],"label_agreement":null},{"id":"W2018148506","doi":"10.1142/s0129167x01000721","title":"STABILITY THEOREMS FOR SPACES OF RATIONAL CURVES","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Stability (learning theory); Pure mathematics","score_opus":0.07581988414961242,"score_gpt":0.37185645690848496,"score_spread":0.2960365727588725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018148506","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3427456,0.0052736113,0.5273388,0.0048543187,0.0005757014,0.0001831046,0.0007785638,0.00064278423,0.11760755],"genre_scores_gemma":[0.94647247,0.0022312836,0.025536431,0.00042754464,0.00075249973,0.00022260785,0.00048479924,0.0001612702,0.023711063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941134,0.00013487991,0.000030206424,0.00014178646,0.00018587617,0.000095882635],"domain_scores_gemma":[0.9965534,0.0019189045,0.00031371595,0.00018269803,0.0007092997,0.00032190798],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015093546,0.001132938,0.00091272674,0.0037018606,0.0017626407,0.0024807293,0.0011518307,0.0011141633,0.0072985175],"category_scores_gemma":[0.005363749,0.00046377364,0.001358687,0.0013094273,0.0025251436,0.0052700033,0.002806625,0.0026107808,0.00090734655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056340286,0.0000145853155,0.00025041812,0.00005942786,0.000026336445,0.00005806035,0.00030584206,0.003413381,0.001500207,0.98719937,0.0013663144,0.0057497765],"study_design_scores_gemma":[0.000024553714,0.000026464719,0.00023682482,0.000016639213,0.000012838574,0.000069585876,0.000097600096,0.021500563,0.00088898116,0.97484493,0.0022668003,0.000014218868],"about_ca_topic_score_codex":0.0012053376,"about_ca_topic_score_gemma":0.0005515689,"teacher_disagreement_score":0.0072985175,"about_ca_system_score_codex":0.0015366736,"about_ca_system_score_gemma":0.0005727559,"threshold_uncertainty_score":0.02441603},"labels":[],"label_agreement":null},{"id":"W2018836752","doi":"10.1016/j.jmaa.2014.12.050","title":"Some geometric properties of the solutions of complex multi-affine polynomials of degree three","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"University of British Columbia","keywords":"Mathematics; Variety (cybernetics); Degree (music); Affine transformation; Pure mathematics; Equivalence (formal languages); Transformation (genetics); Algebra over a field; Combinatorics; Physics","score_opus":0.23629777855044232,"score_gpt":0.33301908835565985,"score_spread":0.09672130980521754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018836752","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8209211,0.001464717,0.115936756,0.0019652788,0.00032237757,0.00008397396,0.00036798,0.0001248118,0.058812942],"genre_scores_gemma":[0.98065764,0.0006542441,0.00964305,0.00016541897,0.00024800826,0.00003889545,0.00021341372,0.000057073677,0.0083223665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997247,0.00006383974,0.000015537844,0.00006102306,0.00006878283,0.00006615569],"domain_scores_gemma":[0.9990631,0.0002792487,0.00027462273,0.00006138002,0.00016670377,0.00015493442],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066222233,0.0008924851,0.0006061329,0.0024851582,0.0010956676,0.0023204233,0.0012099376,0.001048272,0.0069062677],"category_scores_gemma":[0.002730701,0.0004315363,0.00085625995,0.0015042144,0.0025801335,0.0024625924,0.0014171043,0.0018869702,0.00059512904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049846993,0.000022412543,0.0004405901,0.000040289713,0.000011415179,0.00016665894,0.00027778198,0.0024514606,0.0033541287,0.987207,0.00073448004,0.0052440315],"study_design_scores_gemma":[0.000043296608,0.00009518884,0.0013766808,0.0000256297,0.00001843058,0.00054125336,0.00047365506,0.032259412,0.0019169205,0.9594788,0.0037223946,0.00004834768],"about_ca_topic_score_codex":0.0007857022,"about_ca_topic_score_gemma":0.00045123833,"teacher_disagreement_score":0.0069062677,"about_ca_system_score_codex":0.001109427,"about_ca_system_score_gemma":0.0005675766,"threshold_uncertainty_score":0.023103774},"labels":[],"label_agreement":null},{"id":"W2019399828","doi":"10.1115/detc2005-85170","title":"Transition Curves for Nonhomogeneous Mathieu Equation","year":2005,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University; Ontario Tech University","funders":"","keywords":"Mathieu function; Differential equation; Homogeneous differential equation; Pendulum; Mathematics; Mathematical analysis; Double pendulum; Plane (geometry); Type (biology); Inverted pendulum; Physics; Geometry; Ordinary differential equation; Differential algebraic equation; Nonlinear system","score_opus":0.07365227082110479,"score_gpt":0.3380725678372147,"score_spread":0.2644202970161099,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019399828","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8238014,0.0010720429,0.10887369,0.001028485,0.000142804,0.000099189696,0.00015071649,0.0002826677,0.06454903],"genre_scores_gemma":[0.989369,0.00028054643,0.0037457617,0.00004567913,0.000035655303,0.000029655854,0.00006262406,0.000029615268,0.0064014997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998882,0.000020124986,0.000006192955,0.000019744468,0.000032182405,0.000033583015],"domain_scores_gemma":[0.9998254,0.00004590123,0.00003831547,0.000014543646,0.000037222322,0.00003866757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001992439,0.00030847627,0.00028724762,0.0009263165,0.000603994,0.0010803688,0.0003974042,0.0007502607,0.003880766],"category_scores_gemma":[0.0010922077,0.00013299006,0.0004954859,0.00030223659,0.0007984392,0.0011156868,0.0006290975,0.000659641,0.00030564805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018175709,0.000084034364,0.0026245809,0.00014716077,0.000027171947,0.0014774895,0.0010664267,0.05490022,0.03728945,0.8862343,0.0025311504,0.013436283],"study_design_scores_gemma":[0.00008817419,0.000106252526,0.0028906653,0.000042736116,0.000014794468,0.0010051574,0.00045163181,0.73017114,0.0076521602,0.25112543,0.0063977507,0.000054016353],"about_ca_topic_score_codex":0.0018566295,"about_ca_topic_score_gemma":0.00061067205,"teacher_disagreement_score":0.003880766,"about_ca_system_score_codex":0.0006919302,"about_ca_system_score_gemma":0.0004093083,"threshold_uncertainty_score":0.012982488},"labels":[],"label_agreement":null},{"id":"W2020079471","doi":"10.1023/b:jods.0000045362.42314.60","title":"Normalizability, Synchronicity, and Relative Exactness for Vector Fields in C<sup>2</sup>","year":2004,"lang":"en","type":"article","venue":"Journal of Dynamical and Control Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Vector field; Foliation (geology); Fundamental vector field; Multiplicative function; Pure mathematics; Generalization; Topological conjugacy; Mathematical analysis; Conjugate; Field (mathematics); Transformation (genetics); Solenoidal vector field; Center (category theory); Geometry; Algebra over a field","score_opus":0.01563470205364637,"score_gpt":0.27796336163682583,"score_spread":0.26232865958317947,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020079471","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6571252,0.000707115,0.30125797,0.0015788224,0.00030200506,0.00007463756,0.00023070515,0.00022814731,0.03849544],"genre_scores_gemma":[0.9793799,0.00034676126,0.01244728,0.00014132014,0.00021616837,0.000073715826,0.00024063724,0.00006977138,0.0070842993],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989625,0.00023472201,0.00007280195,0.00031353283,0.00027252806,0.00014385715],"domain_scores_gemma":[0.9960741,0.0016326795,0.00089577603,0.00031926113,0.0006341943,0.00044406758],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001852316,0.00076665863,0.000850003,0.002090385,0.0012763172,0.0025833345,0.0009813682,0.0009049799,0.0048160814],"category_scores_gemma":[0.006345443,0.00031107164,0.00077638915,0.0011238583,0.0042993412,0.0059774793,0.0021971716,0.002207793,0.00035678915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053052525,0.000024588493,0.00038167398,0.000017738268,0.000010079382,0.000054695738,0.00026442608,0.002927857,0.00084578426,0.99180144,0.00026079547,0.0033578356],"study_design_scores_gemma":[0.000014217791,0.000032626613,0.00021588692,0.000005321979,0.000004778487,0.000057694633,0.0001018214,0.014887315,0.00036317072,0.98381144,0.00049307186,0.000012619785],"about_ca_topic_score_codex":0.0017072505,"about_ca_topic_score_gemma":0.0010797442,"teacher_disagreement_score":0.0048160814,"about_ca_system_score_codex":0.001250578,"about_ca_system_score_gemma":0.0008077664,"threshold_uncertainty_score":0.016111434},"labels":[],"label_agreement":null},{"id":"W2020278866","doi":"10.1016/j.na.2006.02.016","title":"Limit cycles of cubic polynomial vector fields via the averaging theory","year":2006,"lang":"en","type":"article","venue":"Nonlinear Analysis","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Annulus (botany); Conic section; Cubic function; Polynomial; Mathematics; Limit (mathematics); Mathematical analysis; Differential (mechanical device); Limit cycle; Geometry; Physics; Materials science","score_opus":0.016508019687144344,"score_gpt":0.28382633965284726,"score_spread":0.26731831996570293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020278866","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71055686,0.001273618,0.19209868,0.0013088883,0.0003751609,0.00010471106,0.00027070523,0.00037933834,0.093632005],"genre_scores_gemma":[0.96329963,0.0005739885,0.01576606,0.0001876461,0.000320572,0.000070647955,0.0001621246,0.00014448748,0.019474728],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972266,0.00006373395,0.000013984302,0.000051648185,0.00008622183,0.00006185806],"domain_scores_gemma":[0.99929667,0.00015881052,0.00013604501,0.00007295505,0.00017999177,0.00015551533],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048188667,0.00048961927,0.00065614673,0.0022018168,0.0012575064,0.0019271739,0.00082212273,0.00077729044,0.004058761],"category_scores_gemma":[0.0024300492,0.00033308374,0.0006446329,0.0009510779,0.0014851431,0.0031756489,0.0013501131,0.0012867936,0.00042033274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012457594,0.000009922005,0.00010951246,0.000013732279,0.0000043700875,0.000031526473,0.00008844113,0.0016180804,0.0006188065,0.9931044,0.0005227438,0.0038659773],"study_design_scores_gemma":[0.000005852963,0.000010914084,0.00018034906,0.0000057225943,0.0000039418123,0.000059717535,0.00003564856,0.024323598,0.000324567,0.97370493,0.0013348128,0.0000099839335],"about_ca_topic_score_codex":0.0020899028,"about_ca_topic_score_gemma":0.0014193328,"teacher_disagreement_score":0.004058761,"about_ca_system_score_codex":0.0013073562,"about_ca_system_score_gemma":0.0006819989,"threshold_uncertainty_score":0.0135778785},"labels":[],"label_agreement":null},{"id":"W2020485272","doi":"10.1002/1521-4001(200110)81:10<675::aid-zamm675>3.0.co;2-r","title":"Stabilization of Gyroscopic Systems","year":2001,"lang":"en","type":"article","venue":"ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Gyroscope; Perturbation (astronomy); Physics; Mathematics; Control theory (sociology); Computer science; Quantum mechanics","score_opus":0.027810418143291844,"score_gpt":0.30245548936716127,"score_spread":0.27464507122386944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020485272","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29748717,0.006234991,0.6409189,0.0010889387,0.00039287852,0.00013591614,0.00023062032,0.0011481971,0.052362468],"genre_scores_gemma":[0.9839792,0.0010129822,0.006454705,0.000052733838,0.00006352519,0.000054366297,0.00005526227,0.000025857467,0.008301258],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998896,0.000022587838,0.000004871666,0.000033952303,0.0000309459,0.000017974946],"domain_scores_gemma":[0.9998418,0.000037230035,0.00005233045,0.000015687314,0.000037100206,0.000015846577],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017026353,0.00049899466,0.00034660616,0.0003682842,0.000424412,0.00076757395,0.00019716736,0.00044784124,0.002814681],"category_scores_gemma":[0.00083871477,0.00011187711,0.00019022694,0.00016520717,0.00066218985,0.00040230108,0.00067325664,0.00025657823,0.00032293765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004024638,0.000031392272,0.0019247279,0.0003961067,0.00009547573,0.00034990566,0.0007808061,0.54130715,0.15771037,0.20475537,0.0034630965,0.08878312],"study_design_scores_gemma":[0.00006591809,0.00022889161,0.0020601447,0.00007371303,0.000027096235,0.00018505707,0.00013238013,0.88262606,0.021126866,0.070305236,0.023132518,0.000036059657],"about_ca_topic_score_codex":0.0020200077,"about_ca_topic_score_gemma":0.0011151698,"teacher_disagreement_score":0.002814681,"about_ca_system_score_codex":0.00041914394,"about_ca_system_score_gemma":0.00021009152,"threshold_uncertainty_score":0.009416044},"labels":[],"label_agreement":null},{"id":"W2021003175","doi":"10.1115/imece2010-37041","title":"Investigation of the Transition Character for Duffing System by Employing Periodicity Ratio and Lyapunov Exponents","year":2010,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Lyapunov exponent; Duffing equation; Divergence (linguistics); Nonlinear system; Character (mathematics); Mathematics; Transition (genetics); Statistical physics; CHAOS (operating system); Convergence (economics); Mathematical analysis; Applied mathematics; Physics; Computer science; Quantum mechanics; Geometry","score_opus":0.03042818747528342,"score_gpt":0.26093727395493677,"score_spread":0.23050908647965335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021003175","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92972744,0.00042252187,0.06499396,0.00009212261,0.000021197477,0.000032252883,0.00007319803,0.00010690364,0.004530494],"genre_scores_gemma":[0.993342,0.00008944967,0.0061068125,0.0000044318676,0.0000030980254,0.000010016516,0.00002427445,0.0000045618694,0.0004153834],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99989724,0.000015748818,0.000010656875,0.000023557714,0.00003471141,0.000018199165],"domain_scores_gemma":[0.99973875,0.00010145799,0.000062430205,0.000022489216,0.000050966002,0.000023850955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026205112,0.00020185036,0.0002429575,0.0009767323,0.00026540182,0.00032470847,0.00014977642,0.00020761925,0.00066696416],"category_scores_gemma":[0.00091162644,0.00009452046,0.00018668835,0.000302251,0.000404051,0.00044020452,0.00020117941,0.00027208612,0.00005322861],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00057439157,0.00015283117,0.068134524,0.00053380616,0.00015034342,0.0027133024,0.0025029152,0.16456366,0.51246506,0.114037454,0.001236114,0.13293557],"study_design_scores_gemma":[0.000013957568,0.00012741343,0.025198745,0.000018977313,0.000024407474,0.00041240265,0.00017326853,0.94032156,0.022928968,0.009713721,0.0010022584,0.00006432843],"about_ca_topic_score_codex":0.0015967139,"about_ca_topic_score_gemma":0.0008832727,"teacher_disagreement_score":0.0015967139,"about_ca_system_score_codex":0.00022326688,"about_ca_system_score_gemma":0.00017602934,"threshold_uncertainty_score":0.0031747818},"labels":[],"label_agreement":null},{"id":"W2021377296","doi":"10.1016/j.jde.2011.04.017","title":"Organizing center for the bifurcation analysis of a generalized Gause model with prey harvesting and Holling response function of type III","year":2011,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Codimension; Bifurcation diagram; Pitchfork bifurcation; Bogdanov–Takens bifurcation; Bifurcation; Pure mathematics; Transcritical bifurcation; Hopf bifurcation; Conjecture; Center manifold; Saddle-node bifurcation; Bifurcation theory; Mathematical analysis; Nonlinear system","score_opus":0.11277649094645398,"score_gpt":0.31338925795476347,"score_spread":0.2006127670083095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021377296","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44832498,0.0011535508,0.531195,0.0010634278,0.00017592528,0.00010384512,0.00026694481,0.0002814674,0.017434867],"genre_scores_gemma":[0.98341906,0.0003386128,0.009798012,0.000093970484,0.000099534234,0.00010529235,0.00013477696,0.0000798301,0.0059308796],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998419,0.000058322083,0.0000057593843,0.000032471875,0.000021581334,0.000039907125],"domain_scores_gemma":[0.99916005,0.00034717942,0.00016345196,0.000058388625,0.00014055893,0.00013040005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007742632,0.0005451753,0.0009233443,0.0012986208,0.0010130072,0.0015248758,0.001093057,0.0010208762,0.0034162628],"category_scores_gemma":[0.0016708912,0.00030205856,0.0011910752,0.00035641008,0.0013117209,0.0011383313,0.00088017975,0.00084019615,0.00034355224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015154944,0.0000811195,0.0014748479,0.00010690937,0.00014926236,0.00019832444,0.00025636688,0.20008954,0.0072354656,0.7781393,0.003742347,0.008374969],"study_design_scores_gemma":[0.000011069154,0.000016296864,0.0004586423,0.000007173865,0.000016566704,0.000033704597,0.000040867057,0.915842,0.00018779922,0.083016604,0.0003528594,0.000016551163],"about_ca_topic_score_codex":0.0025126964,"about_ca_topic_score_gemma":0.0015511129,"teacher_disagreement_score":0.0034162628,"about_ca_system_score_codex":0.0012015799,"about_ca_system_score_gemma":0.0008776017,"threshold_uncertainty_score":0.011428535},"labels":[],"label_agreement":null},{"id":"W2022135041","doi":"10.1016/j.jde.2005.12.003","title":"Toroidal normal forms for bifurcations in retarded functional differential equations I: Multiple Hopf and transcritical/multiple Hopf interaction","year":2006,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Ministero dello Sviluppo Economico","keywords":"Mathematics; Hopf bifurcation; Differential equation; Mathematical analysis; Nonlinear system; Pitchfork bifurcation; Applied mathematics; Bifurcation; Physics","score_opus":0.04278563304938942,"score_gpt":0.29907636316340036,"score_spread":0.25629073011401093,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022135041","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41576105,0.00193661,0.46640918,0.003009882,0.00096824544,0.00031144882,0.0002759127,0.0006152418,0.11071239],"genre_scores_gemma":[0.9471459,0.00094078685,0.029161355,0.0002554739,0.00035873958,0.00015754908,0.00012752716,0.00015714887,0.021695511],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997336,0.0000947832,0.000023306638,0.00003932904,0.00006537587,0.00004341366],"domain_scores_gemma":[0.99902725,0.00024740002,0.00019703957,0.00009310145,0.00020315977,0.00023210469],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012095158,0.0009976104,0.00070510816,0.0023708865,0.0015925788,0.003041825,0.000813741,0.0012839626,0.0056189257],"category_scores_gemma":[0.0037211871,0.00038846675,0.00086231687,0.0008354847,0.0025921147,0.0030469235,0.0017091094,0.0017081577,0.0006858122],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024214876,0.000013989752,0.00016233513,0.00002640555,0.000004968392,0.00007745339,0.00021345103,0.0037946869,0.0012896964,0.99045724,0.0007100931,0.0032255051],"study_design_scores_gemma":[0.000014542632,0.000016775286,0.00019700619,0.000015188502,0.0000054085094,0.00009776287,0.0001483548,0.08010343,0.00037985962,0.91772324,0.0012729232,0.000025538237],"about_ca_topic_score_codex":0.0022420804,"about_ca_topic_score_gemma":0.0016563509,"teacher_disagreement_score":0.0056189257,"about_ca_system_score_codex":0.0023050453,"about_ca_system_score_gemma":0.0010134726,"threshold_uncertainty_score":0.018797219},"labels":[],"label_agreement":null},{"id":"W2022850134","doi":"10.1090/s0002-9947-2010-05007-x","title":"A Chebyshev criterion for Abelian integrals","year":2010,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":173,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Ministerio de Economía y Competitividad","keywords":"Mathematics; Abelian group; Chebyshev filter; Algebraic number; Order (exchange); Property (philosophy); Pure mathematics; Applied mathematics; Algebra over a field; Mathematical analysis","score_opus":0.027039215376510526,"score_gpt":0.3324417058808602,"score_spread":0.30540249050434964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022850134","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21723574,0.0013282713,0.6937224,0.0010940462,0.00023011837,0.00013014974,0.00041805103,0.0003041496,0.085537106],"genre_scores_gemma":[0.86295855,0.00089999195,0.115729846,0.00065092044,0.00092871796,0.0002643825,0.00066057534,0.00032477375,0.017582146],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982096,0.0003610639,0.00013653563,0.00024078846,0.00077971764,0.00027244398],"domain_scores_gemma":[0.9953726,0.001815637,0.00039821427,0.00046124286,0.0014889535,0.00046338871],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025771887,0.0006647469,0.0008616216,0.0034601253,0.001942376,0.002182463,0.0010480393,0.0010148422,0.0045332992],"category_scores_gemma":[0.008473156,0.00027576534,0.00069970347,0.0014575031,0.0026596552,0.003475052,0.0024979333,0.002013517,0.0009929365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034434095,0.000022464272,0.00059621973,0.000043351924,0.000016806713,0.00013134377,0.00011157552,0.0025157304,0.0040798234,0.98427516,0.0012243286,0.0069488906],"study_design_scores_gemma":[0.000019349125,0.00005319374,0.00092495244,0.000037115882,0.000017570264,0.00044798513,0.00007830517,0.04664551,0.004071955,0.94019115,0.0074773887,0.000035437035],"about_ca_topic_score_codex":0.00082949,"about_ca_topic_score_gemma":0.00050004694,"teacher_disagreement_score":0.0045332992,"about_ca_system_score_codex":0.0010144361,"about_ca_system_score_gemma":0.0010073386,"threshold_uncertainty_score":0.015165389},"labels":[],"label_agreement":null},{"id":"W2023354629","doi":"10.1016/j.jde.2010.03.020","title":"Global Hopf bifurcation for differential equations with state-dependent delay","year":2010,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Hopf bifurcation; Linearization; Equivariant map; Mathematical analysis; Delay differential equation; Homotopy; Saddle-node bifurcation; Bifurcation theory; Pitchfork bifurcation; State (computer science); Homoclinic bifurcation; Differential equation; Bifurcation; Applied mathematics; Pure mathematics; Nonlinear system","score_opus":0.02719045344393319,"score_gpt":0.31778492283342497,"score_spread":0.2905944693894918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023354629","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50795794,0.0025264435,0.45719057,0.0015649141,0.00029240546,0.00008323817,0.00018092192,0.00023453374,0.029969059],"genre_scores_gemma":[0.9854161,0.000689262,0.0064734183,0.00006823329,0.00006379615,0.00004026947,0.00006144866,0.00003198088,0.007155454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998796,0.00003358964,0.0000074953273,0.000025015705,0.00002988907,0.00002429818],"domain_scores_gemma":[0.9994342,0.00030130913,0.000097490694,0.000029819648,0.00007589572,0.00006129493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007062976,0.0006696928,0.0006291826,0.00095533865,0.0006202517,0.001302937,0.00051667524,0.0008101931,0.0020330565],"category_scores_gemma":[0.0020164577,0.00025698487,0.0006461143,0.00043389012,0.001339688,0.00146979,0.0014762726,0.00080779684,0.00022406914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002744072,0.00008252418,0.0018668065,0.00019144767,0.000119318815,0.0006319301,0.0004059127,0.14814317,0.024279745,0.8041903,0.0013641908,0.018450255],"study_design_scores_gemma":[0.000055880166,0.00006323399,0.0006268822,0.000020480962,0.00003023561,0.00018178999,0.000083680556,0.63137347,0.0017198235,0.36466905,0.0011441294,0.000031315158],"about_ca_topic_score_codex":0.00095265993,"about_ca_topic_score_gemma":0.00067202677,"teacher_disagreement_score":0.0020330565,"about_ca_system_score_codex":0.0011903226,"about_ca_system_score_gemma":0.0007163324,"threshold_uncertainty_score":0.008636415},"labels":[],"label_agreement":null},{"id":"W2024569618","doi":"10.1142/s0218127403006418","title":"AN EFFICIENT METHOD FOR COMPUTING THE SIMPLEST NORMAL FORMS OF VECTOR FIELDS","year":2003,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Computation; Nonlinear system; Applied mathematics; Algebraic equation; Transformation (genetics); Simple (philosophy); Differential equation; Symbolic computation; Algebraic number; Algebra over a field; Mathematical analysis; Algorithm; Pure mathematics","score_opus":0.032020721809544954,"score_gpt":0.38311047842309837,"score_spread":0.3510897566135534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024569618","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0025183805,0.000052318566,0.99579924,0.000051359068,0.000037063663,0.00004513916,0.00002178659,0.00028332177,0.0011913376],"genre_scores_gemma":[0.054181244,0.00019351863,0.9415216,0.000053096974,0.00005258368,0.00019913274,0.00014038423,0.0002577156,0.0034007188],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943036,0.000103536695,0.000040645984,0.000080449194,0.00029842425,0.00004658232],"domain_scores_gemma":[0.99926597,0.0002071548,0.00006242698,0.00014657147,0.00026600316,0.000051889994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008009113,0.00084756094,0.0009146943,0.0019640985,0.00081778434,0.0012400481,0.001515821,0.0008281561,0.005088001],"category_scores_gemma":[0.0028891347,0.00049705285,0.0009891994,0.0010093229,0.0012025486,0.0024573058,0.0018406013,0.0015562575,0.0020784352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007047414,0.00007819211,0.0009463172,0.00031174847,0.000058127724,0.00027724946,0.00030547217,0.05946618,0.021302462,0.4994331,0.005809727,0.41194105],"study_design_scores_gemma":[0.000063909756,0.00007979057,0.00032272187,0.000040255283,0.000017894223,0.00041272055,0.00005252192,0.69329345,0.009716371,0.27877364,0.017149348,0.00007737093],"about_ca_topic_score_codex":0.0011276975,"about_ca_topic_score_gemma":0.0016070404,"teacher_disagreement_score":0.005088001,"about_ca_system_score_codex":0.0006079418,"about_ca_system_score_gemma":0.0017219294,"threshold_uncertainty_score":0.01702106},"labels":[],"label_agreement":null},{"id":"W2025366367","doi":"10.3934/dcds.2010.27.963","title":"Cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial Lienard systems","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Saddle; Mathematics; Polynomial; Pure mathematics; Type (biology); Liénard equation; Mathematical analysis; Partial differential equation; Mathematical optimization","score_opus":0.013492398580185316,"score_gpt":0.27902504576624654,"score_spread":0.26553264718606123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2025366367","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9364193,0.00033713787,0.04215307,0.00036007803,0.000052373984,0.000033576907,0.00007217704,0.0000536734,0.020518672],"genre_scores_gemma":[0.9960006,0.0000950712,0.0020941454,0.000031503318,0.000022434182,0.0000161976,0.000034052784,0.000012454761,0.0016936593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99986875,0.000031857184,0.000007175796,0.0000215133,0.000038033482,0.000032678094],"domain_scores_gemma":[0.99959093,0.00008929453,0.00010383518,0.000044380522,0.00006294355,0.000108723514],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002368357,0.00023136723,0.00032041923,0.00057603774,0.00081438414,0.00083695713,0.0005145128,0.00050136016,0.0030534444],"category_scores_gemma":[0.0012090747,0.00020832398,0.0003611124,0.00030910096,0.0017999928,0.0010350908,0.0009967573,0.00058362546,0.0001418907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067466804,0.000017989285,0.001859798,0.000055884437,0.000011920188,0.00031668207,0.0003257089,0.038559187,0.0044161417,0.9490974,0.0007628789,0.0045089424],"study_design_scores_gemma":[0.000025134279,0.0000540591,0.0015094209,0.000016194424,0.0000067362157,0.00021165842,0.00018115815,0.24970944,0.0016006242,0.74484134,0.0018133038,0.00003090001],"about_ca_topic_score_codex":0.0020559416,"about_ca_topic_score_gemma":0.0015239605,"teacher_disagreement_score":0.0030534444,"about_ca_system_score_codex":0.00065006735,"about_ca_system_score_gemma":0.00043111833,"threshold_uncertainty_score":0.010214806},"labels":[],"label_agreement":null},{"id":"W2026824308","doi":"10.1016/j.jalgebra.2014.05.006","title":"How fast do polynomials grow on semialgebraic sets?","year":2014,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation","keywords":"Counterexample; Mathematics; Bounded function; Modulo; Degree (music); Polynomial; Discrete mathematics; Set (abstract data type); Combinatorics; Algebra over a field; Pure mathematics; Computer science","score_opus":0.03466839297742994,"score_gpt":0.30803960477379544,"score_spread":0.2733712117963655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2026824308","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8199668,0.0020661105,0.1367753,0.006269512,0.00057533564,0.00005290035,0.0009570236,0.0011862073,0.032150805],"genre_scores_gemma":[0.98218775,0.00085828896,0.010610681,0.0003045548,0.0002640142,0.000033628537,0.00032079837,0.0002844806,0.0051358812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989102,0.00021288061,0.00003126098,0.00022232236,0.0003717696,0.0002514761],"domain_scores_gemma":[0.98076344,0.01275819,0.0013846572,0.0018814275,0.0018014319,0.0014108486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016181752,0.00046341677,0.0008424622,0.0018693444,0.0011029836,0.0028767202,0.0013350899,0.0014475369,0.009879184],"category_scores_gemma":[0.039324082,0.00063320296,0.00049835606,0.0014001216,0.0024205304,0.018090673,0.0024020644,0.00297101,0.0016051687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005169107,0.0001469882,0.013577744,0.00033553137,0.00006867891,0.00039225045,0.0018051653,0.020152465,0.011284872,0.8535957,0.010838112,0.087285645],"study_design_scores_gemma":[0.000044590404,0.00007437367,0.0057086744,0.000060877337,0.000034807512,0.00037821668,0.0011102457,0.07015223,0.0045922245,0.9110161,0.0067779417,0.000049570295],"about_ca_topic_score_codex":0.0011935732,"about_ca_topic_score_gemma":0.00067504717,"teacher_disagreement_score":0.009879184,"about_ca_system_score_codex":0.0008559456,"about_ca_system_score_gemma":0.00053906324,"threshold_uncertainty_score":0.033049107},"labels":[],"label_agreement":null},{"id":"W2028967496","doi":"10.1007/s10659-013-9458-x","title":"Stability and Bifurcation of a Soap Film Spanning a Flexible Loop","year":2013,"lang":"en","type":"article","venue":"Journal of Elasticity","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Bifurcation; Mathematics; Loop (graph theory); Rigidity (electromagnetism); Mathematical analysis; Flexural rigidity; Soap film; Bounding overwatch; Geometry; Physics; Combinatorics; Nonlinear system; Thermodynamics; Computer science","score_opus":0.05113895587579082,"score_gpt":0.30565093878060384,"score_spread":0.25451198290481303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028967496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9803972,0.00013055795,0.006867453,0.00033773863,0.000051351963,0.000016340276,0.000058715115,0.00007554695,0.012065107],"genre_scores_gemma":[0.99779874,0.00003364365,0.0007671249,0.000014135688,0.0000063380426,0.0000046831196,0.000013372555,0.0000057950588,0.0013560945],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99996674,0.0000035418739,0.0000012863073,0.000009082835,0.000010143144,0.00000921132],"domain_scores_gemma":[0.9998908,0.000034086595,0.000018874485,0.000010278687,0.00001665261,0.000029304108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008200616,0.00016343914,0.00023561563,0.00034101336,0.00065572944,0.000650588,0.00034883365,0.0005904419,0.0021248073],"category_scores_gemma":[0.00039871712,0.00015336777,0.00017592027,0.00011877937,0.00059865194,0.00050167256,0.0004940783,0.00034032456,0.00017678879],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008320984,0.00018645881,0.0033849655,0.00016031732,0.000071131624,0.0021533342,0.0008477429,0.05738502,0.7847138,0.13380073,0.0015972345,0.0148672005],"study_design_scores_gemma":[0.00011085633,0.0002795475,0.0047608693,0.000028210878,0.000034731027,0.00048564203,0.00037052415,0.9114039,0.051498253,0.02906149,0.0019198868,0.000046067864],"about_ca_topic_score_codex":0.0011747556,"about_ca_topic_score_gemma":0.0006381931,"teacher_disagreement_score":0.0021248073,"about_ca_system_score_codex":0.00039153587,"about_ca_system_score_gemma":0.00021807608,"threshold_uncertainty_score":0.0071082115},"labels":[],"label_agreement":null},{"id":"W2030201940","doi":"10.1007/s11228-009-0113-4","title":"Clarke Generalized Jacobian of the Projection onto Symmetric Cones","year":2009,"lang":"en","type":"article","venue":"Set-Valued and Variational Analysis","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Jacobian matrix and determinant; Projection (relational algebra); Rank (graph theory); Mathematics; Pure mathematics; Connection (principal bundle); Order (exchange); Combinatorics; Geometry; Applied mathematics; Algorithm","score_opus":0.03342346534523686,"score_gpt":0.3108755328615045,"score_spread":0.2774520675162676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2030201940","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24410167,0.0019134681,0.6232946,0.0024334674,0.00085918594,0.000113218295,0.0006997834,0.0002830348,0.12630166],"genre_scores_gemma":[0.8919734,0.0015450657,0.028312959,0.0004067252,0.0005118829,0.000064243846,0.00028908698,0.00018811086,0.07670859],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965763,0.00009099624,0.00001205499,0.00007020447,0.00013128162,0.000037788017],"domain_scores_gemma":[0.999342,0.00014539035,0.000096347845,0.000047826732,0.00022914988,0.00013912395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006336666,0.0007264332,0.0005362015,0.0014251249,0.0005550645,0.0022020095,0.0006822047,0.0006153188,0.007195886],"category_scores_gemma":[0.0013986562,0.00029441543,0.000578755,0.0005770788,0.0016986714,0.0019473493,0.0011711507,0.0018325618,0.0007123941],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010734509,0.000008531356,0.000082875646,0.000023955661,0.000010985047,0.00006980819,0.0000716762,0.0023291358,0.001704701,0.99156934,0.00080101204,0.0033172367],"study_design_scores_gemma":[0.000014092796,0.000060032336,0.0006378515,0.000020184552,0.00001085528,0.00031554504,0.00011086079,0.043451022,0.0013807899,0.94729733,0.0066783945,0.000022965598],"about_ca_topic_score_codex":0.0022832442,"about_ca_topic_score_gemma":0.0014480264,"teacher_disagreement_score":0.007195886,"about_ca_system_score_codex":0.0010505284,"about_ca_system_score_gemma":0.0012986857,"threshold_uncertainty_score":0.024072647},"labels":[],"label_agreement":null},{"id":"W2032072564","doi":"10.3934/dcds.2011.31.709","title":"An example of rapid evolution of complex limit cycles","year":2011,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Holomorphic function; Limit cycle; Mathematics; Multiplicity (mathematics); Complex plane; Perturbation (astronomy); Mathematical analysis; Pure mathematics; Limit (mathematics); Physics; Quantum mechanics","score_opus":0.06739402452553406,"score_gpt":0.2995828862957386,"score_spread":0.23218886177020454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032072564","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8843733,0.0011625126,0.07731592,0.0008178958,0.00008307996,0.0000503307,0.00017392125,0.00027330357,0.035749733],"genre_scores_gemma":[0.9847602,0.00019949846,0.009505983,0.00004700696,0.00002511508,0.000031589396,0.00006814718,0.00004410508,0.0053182165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999816,0.000040408693,0.000007585982,0.00004524756,0.00005151575,0.000039308987],"domain_scores_gemma":[0.9995828,0.000086582106,0.000070449445,0.000061518986,0.00007180106,0.00012679341],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027397962,0.0003460457,0.00034686268,0.0012794543,0.0014568336,0.0012303308,0.0004964796,0.0009182964,0.004771138],"category_scores_gemma":[0.001287148,0.00020495353,0.00037749627,0.0005682952,0.0012266774,0.0011754032,0.0012471641,0.00063475285,0.00024910946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068598,0.00004566249,0.0035185504,0.0000729601,0.000037681708,0.001482886,0.0009134223,0.021757273,0.012638945,0.94855493,0.0016279586,0.0092810495],"study_design_scores_gemma":[0.00006777547,0.00008585371,0.0062644654,0.000053736123,0.000027283926,0.0019956133,0.00058833376,0.2241184,0.0073038316,0.7337172,0.02570165,0.000075711745],"about_ca_topic_score_codex":0.0015336382,"about_ca_topic_score_gemma":0.0009808816,"teacher_disagreement_score":0.004771138,"about_ca_system_score_codex":0.0009907496,"about_ca_system_score_gemma":0.00029937277,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W2034821539","doi":"10.1142/s0218127407019895","title":"BIFURCATION OF LIMIT CYCLES IN A FOURTH-ORDER NEAR-HAMILTONIAN SYSTEM","year":2007,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Quartic function; Bifurcation; Infinite-period bifurcation; Limit (mathematics); Hamiltonian system; Limit cycle; Hamiltonian (control theory); Bifurcation theory; Planar; Mathematical analysis; Mathematical physics; Pure mathematics; Physics; Nonlinear system; Quantum mechanics; Computer science; Mathematical optimization","score_opus":0.024942124037219623,"score_gpt":0.32990481807804267,"score_spread":0.30496269404082305,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034821539","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96947527,0.0001336752,0.023753954,0.00012474784,0.000013997147,0.000017705363,0.00001646049,0.00004008176,0.0064241365],"genre_scores_gemma":[0.9937708,0.00006821258,0.0047842036,0.000021035243,0.0000068977333,0.000013944399,0.000016578615,0.0000064384326,0.0013120543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99988973,0.00002592691,0.00000684351,0.00001678211,0.000036581816,0.000024185147],"domain_scores_gemma":[0.99974567,0.00006827522,0.00007146576,0.00002666762,0.000027078097,0.000060766608],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024817258,0.00017105356,0.0003837927,0.00058590836,0.0007156197,0.0004934208,0.00032430442,0.0004534333,0.0014386579],"category_scores_gemma":[0.00071723305,0.00014458928,0.00029026542,0.0002196164,0.00088576984,0.0006201997,0.00083567254,0.00030618673,0.00011293568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002758052,0.000109828536,0.010394262,0.00015979986,0.00009252698,0.0024531756,0.0017750616,0.25395086,0.10221697,0.5927451,0.0011592204,0.034667373],"study_design_scores_gemma":[0.00004500209,0.00016702167,0.0033329034,0.000020405683,0.000026380336,0.00058348966,0.00029513796,0.75185007,0.013033255,0.22777723,0.002822445,0.000046624158],"about_ca_topic_score_codex":0.0008318508,"about_ca_topic_score_gemma":0.0006798273,"teacher_disagreement_score":0.0014386579,"about_ca_system_score_codex":0.0005613618,"about_ca_system_score_gemma":0.0003151342,"threshold_uncertainty_score":0.004812777},"labels":[],"label_agreement":null},{"id":"W2034854922","doi":"10.1007/s00407-013-0132-2","title":"Integral equations between theory and practice: the cases of Italy and France to 1920","year":2013,"lang":"en","type":"article","venue":"Archive for History of Exact Sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Unification; Integral equation; Mathematics; Partial differential equation; Volterra integral equation; Boundary value problem; Philosophy of science; Calculus (dental); Algebra over a field; Applied mathematics; Mathematical analysis; Epistemology; Computer science; Pure mathematics; Philosophy","score_opus":0.07235616230222314,"score_gpt":0.3520272826949194,"score_spread":0.27967112039269626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034854922","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19309679,0.0070332475,0.0024077778,0.027589828,0.00021039048,0.000026227943,0.00015497666,0.00008214861,0.7693986],"genre_scores_gemma":[0.93790853,0.0013584531,0.0012453394,0.0012791464,0.00033585003,0.000044575696,0.000062467196,0.000044733217,0.057720914],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99830306,0.00047259632,0.000040278883,0.00020228719,0.0003031375,0.0006786627],"domain_scores_gemma":[0.9987791,0.00055033073,0.00016181414,0.00013225237,0.0001999949,0.00017651543],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0019447856,0.00040843774,0.0005010159,0.0025223668,0.0073960023,0.006614268,0.0010348404,0.0035543377,0.007944926],"category_scores_gemma":[0.00586369,0.00025007062,0.00060901087,0.0032421798,0.015245635,0.005589376,0.0040119733,0.0041875257,0.0004571457],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018060864,0.0000174742,0.00043364803,0.000008471901,0.000004500054,0.00012473483,0.0053003305,0.00021019203,0.000016232012,0.9869343,0.0035469877,0.0033850044],"study_design_scores_gemma":[0.00006881669,0.00004250308,0.011566739,0.0002069483,0.0000331176,0.00035488603,0.006543224,0.0014498596,0.00012444834,0.5696575,0.40990838,0.00004360211],"about_ca_topic_score_codex":0.11314765,"about_ca_topic_score_gemma":0.1014521,"teacher_disagreement_score":0.992604,"about_ca_system_score_codex":0.026213385,"about_ca_system_score_gemma":0.006182343,"threshold_uncertainty_score":0.22497809},"labels":[],"label_agreement":null},{"id":"W2036406095","doi":"10.1007/s11784-014-0175-2","title":"Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities","year":2013,"lang":"en","type":"article","venue":"Journal of Fixed Point Theory and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"FP7 People: Marie-Curie Actions; Natural Sciences and Engineering Research Council of Canada; Agència de Gestió d'Ajuts Universitaris i de Recerca; Institució Catalana de Recerca i Estudis Avançats","keywords":"Gravitational singularity; Mathematics; Simple (philosophy); Quadratic differential; Pure mathematics; Quadratic equation; Differential (mechanical device); Mathematical analysis; Geometry","score_opus":0.021114909914627503,"score_gpt":0.2757496280958307,"score_spread":0.2546347181812032,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036406095","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87436324,0.00045098132,0.06458214,0.0010772325,0.00036104216,0.000110053996,0.00021959569,0.00025184598,0.05858382],"genre_scores_gemma":[0.9873115,0.000100244986,0.007644554,0.0000948524,0.000062861065,0.00003747475,0.00014098559,0.00005871658,0.004548827],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995042,0.00008156197,0.00003786211,0.00008863606,0.00015962908,0.00012799638],"domain_scores_gemma":[0.99927264,0.00011353549,0.00016025109,0.000076748656,0.00012808855,0.00024883883],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066074217,0.00086487154,0.00088725693,0.0027761026,0.002178956,0.0037267106,0.0013903308,0.0017701868,0.006236216],"category_scores_gemma":[0.0023270617,0.0005963171,0.0009211808,0.00094421057,0.0049239774,0.002526881,0.0027734493,0.0019096014,0.00065374735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009549989,0.000037207614,0.0007183568,0.000040605762,0.000012677544,0.00080243265,0.00045266096,0.0036440452,0.0027917195,0.9878826,0.0006543115,0.0028678887],"study_design_scores_gemma":[0.000077046345,0.000067089146,0.0010909232,0.00002607032,0.000014843545,0.0006257697,0.0005795159,0.013135493,0.0009350741,0.9811272,0.0022624459,0.000058494545],"about_ca_topic_score_codex":0.00089601474,"about_ca_topic_score_gemma":0.0006589913,"teacher_disagreement_score":0.006236216,"about_ca_system_score_codex":0.0018645729,"about_ca_system_score_gemma":0.0006824362,"threshold_uncertainty_score":0.020862281},"labels":[],"label_agreement":null},{"id":"W2036603354","doi":"10.2748/tmj/1113247602","title":"Boundedness of solutions for a class of nonlinear planar systems","year":2002,"lang":"en","type":"article","venue":"Tohoku Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; Wilfrid Laurier University","funders":"","keywords":"Mathematics; Generalization; Planar; Nonlinear system; Class (philosophy); Pure mathematics; Mathematical analysis; Applied mathematics; Computer science","score_opus":0.10367239171749823,"score_gpt":0.32615350927899867,"score_spread":0.22248111756150044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036603354","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21856076,0.0013163938,0.74665266,0.0011142005,0.00008537845,0.00008581052,0.00018238908,0.00023519718,0.03176724],"genre_scores_gemma":[0.9599753,0.0011916888,0.03299999,0.00018420829,0.00006952667,0.00010750308,0.00018623717,0.000038815215,0.005246625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997986,0.000027216074,0.0000118056905,0.00004103227,0.000078688354,0.00004270483],"domain_scores_gemma":[0.9993894,0.00020006749,0.0001825167,0.000037692767,0.00013669152,0.000053634692],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041568116,0.0006063545,0.00050521863,0.00073138764,0.00045276122,0.00070761034,0.00071488257,0.00077880407,0.002174126],"category_scores_gemma":[0.0022211368,0.00020040058,0.00042131037,0.0002986937,0.0012600241,0.0012321485,0.0014207081,0.0010855162,0.00017439877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042100633,0.00002963698,0.0012139308,0.00031939577,0.000042693537,0.00080842,0.00038621522,0.183426,0.040969852,0.74568796,0.0019304906,0.02514335],"study_design_scores_gemma":[0.000014708402,0.000042371088,0.0005655203,0.000028887325,0.0000146295715,0.00018070685,0.00013449822,0.79847926,0.0071908575,0.1905461,0.0027717662,0.00003082918],"about_ca_topic_score_codex":0.0016414423,"about_ca_topic_score_gemma":0.0009901688,"teacher_disagreement_score":0.002174126,"about_ca_system_score_codex":0.00047067404,"about_ca_system_score_gemma":0.0005373355,"threshold_uncertainty_score":0.007273197},"labels":[],"label_agreement":null},{"id":"W2036649601","doi":"10.1016/j.jnt.2009.04.006","title":"Limits of characteristic sequences of integer-valued polynomials on homogeneous sets","year":2009,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Homogeneous; Combinatorics; Integer (computer science); Discrete mathematics; Sequence (biology); Degree (music); Real number; Valuation ring; Limit (mathematics); Ring of integers; Field (mathematics); Algebraic number field; Mathematical analysis; Pure mathematics","score_opus":0.0442217523966685,"score_gpt":0.35074961657907483,"score_spread":0.30652786418240635,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036649601","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84338117,0.0010028123,0.12167159,0.00069742766,0.00015701844,0.000054149725,0.00017937594,0.0001979961,0.03265844],"genre_scores_gemma":[0.9809069,0.000654318,0.010906294,0.00009447017,0.00015960424,0.00006757179,0.00013218868,0.00007115059,0.0070074843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867284,0.00030251266,0.00007542835,0.00021572194,0.000424168,0.0003092565],"domain_scores_gemma":[0.98887956,0.0062460313,0.0014867272,0.00047063958,0.0011915115,0.0017254746],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002505356,0.0008542048,0.000998899,0.0039735925,0.0022489373,0.0050068884,0.0018800407,0.0008167151,0.0037818197],"category_scores_gemma":[0.016318988,0.0006753577,0.0008166085,0.0021855086,0.004591383,0.007251572,0.0032208534,0.002541933,0.0003995129],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009168504,0.000035547047,0.0007085756,0.000037958765,0.000012537281,0.00018895476,0.0005865848,0.001448439,0.0013172965,0.99219936,0.00022048049,0.0031524943],"study_design_scores_gemma":[0.00003778011,0.000052920175,0.0008722471,0.000028362432,0.000020027835,0.00034368574,0.00029217647,0.017601022,0.0014668329,0.9781556,0.0011024254,0.00002685639],"about_ca_topic_score_codex":0.0011493093,"about_ca_topic_score_gemma":0.0009797347,"teacher_disagreement_score":0.0050068884,"about_ca_system_score_codex":0.0030893777,"about_ca_system_score_gemma":0.0012001735,"threshold_uncertainty_score":0.022415161},"labels":[],"label_agreement":null},{"id":"W2039214402","doi":"10.1007/s10444-004-1838-0","title":"On the finite sum representations of the Lauricella functions FD","year":2005,"lang":"en","type":"article","venue":"Advances in Computational Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Integer (computer science); Function (biology); Combinatorics; Rational function; Discrete mathematics; Pure mathematics","score_opus":0.03123095920115458,"score_gpt":0.32747992678286336,"score_spread":0.29624896758170877,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039214402","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20801507,0.0051530674,0.54309314,0.0033831159,0.0016038351,0.00006634781,0.00033920343,0.00045860052,0.23788768],"genre_scores_gemma":[0.8488697,0.0036192313,0.08301368,0.0012035593,0.0015442501,0.00013361215,0.0004622765,0.0004936786,0.060660157],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994048,0.00020801925,0.000030902294,0.000076816366,0.00017628775,0.000103253915],"domain_scores_gemma":[0.99838924,0.00076260895,0.00013899582,0.0002507103,0.0002524854,0.00020599671],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015800627,0.001108511,0.0009529347,0.0029856593,0.0017629443,0.0032619655,0.0016213638,0.0015146299,0.007355756],"category_scores_gemma":[0.0062007424,0.0003980121,0.0009527567,0.0016351327,0.003623715,0.005315517,0.002435619,0.0034064564,0.0018481737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012298395,0.000007041862,0.000038027665,0.000015425598,0.0000025972104,0.000024192426,0.00010348394,0.00076987053,0.00024255669,0.9928048,0.0008297852,0.00515006],"study_design_scores_gemma":[0.0000043848513,0.000006270984,0.000046622783,0.000015404767,0.0000025530067,0.000045826615,0.00003532268,0.007970151,0.00019465809,0.98951715,0.002151166,0.000010574231],"about_ca_topic_score_codex":0.001089401,"about_ca_topic_score_gemma":0.00070248294,"teacher_disagreement_score":0.007355756,"about_ca_system_score_codex":0.0010879915,"about_ca_system_score_gemma":0.00052570435,"threshold_uncertainty_score":0.02460742},"labels":[],"label_agreement":null},{"id":"W2039390804","doi":"10.1142/s0219498815400058","title":"Field generators in two variables and birational endomorphisms of 𝔸<sup>2</sup>","year":2015,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Endomorphism; Mathematics; Field (mathematics); Affine plane (incidence geometry); Pure mathematics; Affine transformation; Plane (geometry); Algebra over a field; Geometry; Plane curve","score_opus":0.03767390886934942,"score_gpt":0.31621003173428003,"score_spread":0.2785361228649306,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039390804","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5363032,0.011579686,0.19961242,0.004929126,0.0016644011,0.00015460333,0.000694626,0.00038877502,0.24467325],"genre_scores_gemma":[0.93596625,0.0034029628,0.031319946,0.0006762983,0.0010730899,0.00013133993,0.00040509945,0.00013227412,0.026892684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995734,0.00011423151,0.00003493303,0.00008474955,0.000115368464,0.000077387755],"domain_scores_gemma":[0.9993356,0.00029603823,0.00013211585,0.00004547342,0.000100344376,0.00009047783],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010070801,0.0003546635,0.00035857863,0.0013488348,0.00083927315,0.001872699,0.00034024863,0.000438109,0.007952513],"category_scores_gemma":[0.0011734539,0.00018846238,0.00043584846,0.00096069375,0.0020535258,0.0040129395,0.0009214226,0.0013324096,0.0011000464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011230192,0.000014280563,0.0003001556,0.00002459001,0.000001981933,0.00007333069,0.00021507568,0.00017979382,0.00059175777,0.9884792,0.0009214617,0.009187232],"study_design_scores_gemma":[0.000013070131,0.00004485518,0.0009296776,0.000020797164,0.000003550972,0.00040033623,0.00020856663,0.0009877805,0.0009613811,0.9767095,0.019705249,0.000015340296],"about_ca_topic_score_codex":0.0002586872,"about_ca_topic_score_gemma":0.00014791334,"teacher_disagreement_score":0.007952513,"about_ca_system_score_codex":0.00065059104,"about_ca_system_score_gemma":0.0004035069,"threshold_uncertainty_score":0.026603818},"labels":[],"label_agreement":null},{"id":"W2039641161","doi":"10.1109/cdc.2012.6425942","title":"Motion planning by the homotopy continuation method for control-affine systems: Sublinear growth conditions","year":2012,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Sublinear function; Homotopy analysis method; Continuation; Mathematics; Homotopy; Affine transformation; Constraint (computer-aided design); Class (philosophy); Motion (physics); Control theory (sociology); Process (computing); Control (management); Computer science; Calculus (dental); Applied mathematics; Mathematical optimization; Discrete mathematics; Artificial intelligence; Pure mathematics; Geometry","score_opus":0.04633770244211825,"score_gpt":0.3695698840625243,"score_spread":0.323232181620406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039641161","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019168109,0.00036322555,0.9760621,0.00035532174,0.000039688046,0.00007240787,0.000027114396,0.00006616192,0.0038458449],"genre_scores_gemma":[0.57975703,0.0014753857,0.40821323,0.0001803415,0.00010766897,0.000700463,0.00014984967,0.00019934667,0.00921669],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995958,0.00018745242,0.000022155002,0.000056928413,0.00010510005,0.000032594577],"domain_scores_gemma":[0.9982728,0.0012373845,0.00013711581,0.0000875333,0.00017828509,0.000086894026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025041944,0.0009643271,0.0008203447,0.0009891377,0.0007042143,0.0009862164,0.0009432534,0.0013983812,0.0019903735],"category_scores_gemma":[0.005551122,0.00044594155,0.0011040058,0.00038149205,0.002090186,0.0017416178,0.0024753688,0.0023918198,0.00024099578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013607398,0.000060671657,0.0009065194,0.0003578626,0.000053988584,0.00036779154,0.0005263842,0.45186433,0.016467195,0.48259288,0.0011425912,0.045523692],"study_design_scores_gemma":[0.000009543658,0.000047206908,0.000062410894,0.000020760828,0.0000045917745,0.000028091115,0.000027043754,0.95572996,0.0012334897,0.04199806,0.0008299645,0.000008818128],"about_ca_topic_score_codex":0.002682932,"about_ca_topic_score_gemma":0.0017003162,"teacher_disagreement_score":0.002682932,"about_ca_system_score_codex":0.0010244885,"about_ca_system_score_gemma":0.0015844052,"threshold_uncertainty_score":0.013243616},"labels":[],"label_agreement":null},{"id":"W2040831324","doi":"10.1016/j.jde.2015.02.044","title":"Center conditions in a switching Bautin system","year":2015,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Limit (mathematics); Singular point of a curve; Center (category theory); Planar; Bifurcation; Quadratic equation; Limit cycle; Control theory (sociology); Point (geometry); Amplitude; Mathematical analysis; Infinite-period bifurcation; Hopf bifurcation; Geometry; Control (management); Computer science; Nonlinear system; Physics","score_opus":0.07202120471990922,"score_gpt":0.34452245466193504,"score_spread":0.27250124994202585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040831324","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62569267,0.000823804,0.26295272,0.002369269,0.0006015927,0.00019428771,0.00042961366,0.0004906845,0.10644536],"genre_scores_gemma":[0.9734056,0.00022160236,0.0071756244,0.0001979462,0.00011839515,0.00007379539,0.00014538749,0.00011507087,0.018546635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996357,0.00008560387,0.000018802812,0.00006060471,0.00008626334,0.000112996786],"domain_scores_gemma":[0.99856985,0.00048012225,0.00019201841,0.000059007547,0.00036538526,0.00033364788],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080785766,0.0006521639,0.0015572328,0.001803187,0.0024604332,0.003587422,0.0011535491,0.0015447262,0.011676809],"category_scores_gemma":[0.0026151836,0.00035123833,0.0006924978,0.00075430615,0.0020183683,0.0018833749,0.0024024828,0.0016372817,0.0008730578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022331563,0.00007245165,0.00037853894,0.000055853085,0.000026730655,0.0002178446,0.00027976284,0.01585065,0.004311734,0.9727835,0.0018839975,0.0039154836],"study_design_scores_gemma":[0.00014499285,0.00015167022,0.00043937567,0.000030638792,0.000030178515,0.0001222379,0.00035527506,0.3739186,0.0019218411,0.62035435,0.0024720517,0.000058670754],"about_ca_topic_score_codex":0.004455603,"about_ca_topic_score_gemma":0.0023461573,"teacher_disagreement_score":0.011676809,"about_ca_system_score_codex":0.0019948408,"about_ca_system_score_gemma":0.0015000942,"threshold_uncertainty_score":0.039062858},"labels":[],"label_agreement":null},{"id":"W2042871625","doi":"10.1016/j.geomphys.2013.01.001","title":"Integrability in nonlinear biomathematical models","year":2013,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Integrable system; Mathematics; Quadratic equation; Nonlinear system; Quadratic differential; Differential (mechanical device); Polynomial; Plane (geometry); Complex plane; Mathematical analysis; Pure mathematics; Differential equation; Applied mathematics; Geometry; Physics","score_opus":0.04591352800593986,"score_gpt":0.3119568865737562,"score_spread":0.26604335856781636,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042871625","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32226026,0.0018173944,0.6202702,0.0057309256,0.0002256984,0.000054917153,0.00018442694,0.00021068205,0.04924556],"genre_scores_gemma":[0.97440875,0.0007719723,0.01224487,0.0002619719,0.00031159548,0.00004891552,0.0001252837,0.00006588407,0.011760709],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950266,0.00019471983,0.000027272394,0.00007049689,0.00014651031,0.000058220565],"domain_scores_gemma":[0.99775785,0.0013409208,0.00034193377,0.00018383101,0.00015733499,0.00021814219],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015422587,0.000709988,0.0010470499,0.0012366534,0.0008008258,0.0023441191,0.0011962787,0.0014191408,0.0032132294],"category_scores_gemma":[0.0050935266,0.00041867516,0.0010596229,0.00059238577,0.0029442192,0.003591462,0.002430204,0.0017952208,0.00023466304],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000066881375,0.00002052737,0.0003503428,0.00002137487,0.000015195289,0.00007055743,0.00008712771,0.02086198,0.00029865568,0.976488,0.00025078532,0.001528816],"study_design_scores_gemma":[0.0000057364455,0.000006465967,0.00013907124,0.0000049677856,0.0000047530957,0.00003450863,0.00002406457,0.12523666,0.000043106716,0.8742071,0.00028825382,0.0000052709],"about_ca_topic_score_codex":0.0026311234,"about_ca_topic_score_gemma":0.0014313835,"teacher_disagreement_score":0.0032132294,"about_ca_system_score_codex":0.0010999469,"about_ca_system_score_gemma":0.000656402,"threshold_uncertainty_score":0.01074934},"labels":[],"label_agreement":null},{"id":"W2045616469","doi":"10.1007/bf02969336","title":"Finite cyclicity of elementary graphics surrounding a focus or center in quadratic systems","year":2002,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Center (category theory); Mathematics; Quadratic equation; Focus (optics); Graphics; Algebra over a field; Calculus (dental); Computer graphics (images); Geometry; Pure mathematics; Computer science","score_opus":0.11100179715740209,"score_gpt":0.37675346317326985,"score_spread":0.26575166601586775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045616469","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7755867,0.00019712192,0.18822184,0.00036961312,0.00007674738,0.00006737693,0.0001334781,0.00042988994,0.0349172],"genre_scores_gemma":[0.97870123,0.00007862089,0.014815799,0.00007496779,0.000040133033,0.000057414716,0.000108990884,0.000118570184,0.006004151],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950933,0.00010242594,0.000021243712,0.00011722961,0.00011761909,0.00013219139],"domain_scores_gemma":[0.9970822,0.0012898137,0.00042469683,0.00030289157,0.00044439198,0.00045604137],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048485416,0.0003191969,0.0005365044,0.0013324294,0.0019164243,0.001957301,0.0009941553,0.00096360885,0.0074057686],"category_scores_gemma":[0.004232524,0.0005464835,0.00056748523,0.0007861677,0.004005019,0.0024792335,0.0019087374,0.0011460717,0.00042789956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000850079,0.00002224265,0.0005319503,0.000041121326,0.000005180295,0.00013840856,0.0009923325,0.0059447912,0.004578113,0.9815772,0.00055009755,0.005533559],"study_design_scores_gemma":[0.000033989785,0.0000551411,0.00066654437,0.00001644407,0.0000089193145,0.00008419319,0.0003431711,0.03199055,0.0018835221,0.9625524,0.002335441,0.000029525092],"about_ca_topic_score_codex":0.0038261206,"about_ca_topic_score_gemma":0.0030084779,"teacher_disagreement_score":0.0074057686,"about_ca_system_score_codex":0.0011459356,"about_ca_system_score_gemma":0.0005974777,"threshold_uncertainty_score":0.02477473},"labels":[],"label_agreement":null},{"id":"W2046226709","doi":"10.1006/jmaa.2000.7408","title":"Poincaré's Reversibility Condition","year":2001,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Linearization; Hamiltonian (control theory); Vector field; Pure mathematics; Quadratic equation; Line (geometry); Planar; Mathematical analysis; Nonlinear system; Quantum mechanics; Physics; Geometry","score_opus":0.0254401613601272,"score_gpt":0.3324293144236136,"score_spread":0.3069891530634864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046226709","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1107465,0.0026107775,0.13584937,0.01987557,0.005052058,0.00012657487,0.00085652806,0.0007178053,0.7241649],"genre_scores_gemma":[0.8668486,0.0024466154,0.016084038,0.0030384108,0.0029264241,0.00015159787,0.0005550299,0.00035134392,0.10759811],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995109,0.00006622928,0.000037853843,0.00015230663,0.00013136816,0.00010121725],"domain_scores_gemma":[0.9987966,0.00045898408,0.00008084428,0.00029031266,0.00027816935,0.00009511704],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008696297,0.00051277597,0.00069690874,0.0011986055,0.0017426137,0.0016390948,0.0007326761,0.0016944718,0.021386556],"category_scores_gemma":[0.0036224907,0.00035699684,0.0008589276,0.00058980746,0.0029711935,0.0070375195,0.0019673973,0.0033643062,0.0023139138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011767004,0.000008811466,0.000057688023,0.000018999814,0.0000028965549,0.000060434282,0.00008325413,0.0000720591,0.00046998516,0.99221134,0.0022954417,0.0047073364],"study_design_scores_gemma":[0.000012631138,0.000011820903,0.00016199419,0.000007999476,0.000005028965,0.00022360485,0.00004053599,0.00044321438,0.0010245986,0.9831933,0.014865891,0.000009456786],"about_ca_topic_score_codex":0.00069494394,"about_ca_topic_score_gemma":0.00052479166,"teacher_disagreement_score":0.021386556,"about_ca_system_score_codex":0.00048207803,"about_ca_system_score_gemma":0.00087276753,"threshold_uncertainty_score":0.07154518},"labels":[],"label_agreement":null},{"id":"W2046238971","doi":"10.1142/s0218127408021439","title":"CONTINUATION OF CONNECTING ORBITS IN 3D-ODEs (I): POINT-TO-CYCLE CONNECTIONS","year":2008,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Ode; Eigenfunction; Mathematics; Projection (relational algebra); Monodromy matrix; Boundary value problem; Mathematical analysis; Monodromy; Ordinary differential equation; Computation; Continuation; Applied mathematics; Computer science; Eigenvalues and eigenvectors; Differential equation; Pure mathematics; Algorithm","score_opus":0.03652630871184237,"score_gpt":0.3312446077787058,"score_spread":0.2947182990668634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046238971","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.038797967,0.000075797805,0.9575056,0.000054211592,0.00003540058,0.00004330476,0.000023217264,0.00018297722,0.003281574],"genre_scores_gemma":[0.36398605,0.00028507857,0.6316906,0.00004861461,0.000025247638,0.00025371884,0.00007330513,0.00015553975,0.0034817993],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999114,0.000026570617,0.000007443713,0.0000124962025,0.000035398796,0.0000067148244],"domain_scores_gemma":[0.99967957,0.00013796007,0.000043435997,0.000056568188,0.000052235708,0.000030308353],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005526477,0.00033138192,0.0003534981,0.0006258299,0.00039289106,0.0005715981,0.00060939725,0.00066404406,0.0016433994],"category_scores_gemma":[0.001463712,0.00025201053,0.0006060127,0.00030830075,0.0008030048,0.0007470706,0.0013294498,0.00065794296,0.00041535895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000062054416,0.00007171769,0.0017112651,0.00019005072,0.000038903978,0.00025786995,0.0007364602,0.5215728,0.024348956,0.33697155,0.0010525543,0.11298571],"study_design_scores_gemma":[0.000009870672,0.000022927687,0.00011655194,0.000014654419,0.000003878616,0.000049611634,0.000027431533,0.9577196,0.002495604,0.037592575,0.001932207,0.000015090646],"about_ca_topic_score_codex":0.00071449537,"about_ca_topic_score_gemma":0.00078024407,"teacher_disagreement_score":0.0016433994,"about_ca_system_score_codex":0.00035510198,"about_ca_system_score_gemma":0.00044386764,"threshold_uncertainty_score":0.005497694},"labels":[],"label_agreement":null},{"id":"W2046388559","doi":"10.1016/j.bulsci.2013.06.002","title":"On multi-dimensional Fatou bifurcation","year":2013,"lang":"fr","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Holomorphic function; Iterated function; Combinatorics; Coprime integers; Eigenvalues and eigenvectors; Fixed point; Zero (linguistics); Prime number; Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.06377132791916161,"score_gpt":0.3266983013717639,"score_spread":0.2629269734526023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046388559","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57661885,0.0058902083,0.25459412,0.004184003,0.0017172663,0.00013603765,0.00015947441,0.00042180656,0.15627821],"genre_scores_gemma":[0.9682169,0.0014332075,0.01255308,0.0003045242,0.000434349,0.00006216901,0.00007691013,0.000053327312,0.016865576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971503,0.00010091097,0.000017757331,0.000044902597,0.000060727725,0.00006058993],"domain_scores_gemma":[0.9991997,0.000293878,0.00010743918,0.000086487526,0.0001480294,0.00016451438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008843573,0.0006003106,0.0011219126,0.0026509431,0.0017698067,0.0021358563,0.00076274114,0.0020102924,0.0050975205],"category_scores_gemma":[0.0035632323,0.00035259486,0.00096131134,0.0008072778,0.0016725584,0.002505106,0.002507868,0.0013834238,0.0006121385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000095171636,0.000023981918,0.00049336057,0.000053257085,0.000023110679,0.00028381127,0.00024339737,0.0065361466,0.0024791884,0.9820743,0.0007768712,0.006917314],"study_design_scores_gemma":[0.000036594683,0.000053329768,0.0005891996,0.000042818378,0.000020773514,0.00030635882,0.00015822834,0.104263924,0.0007436803,0.8904294,0.0033258619,0.000029913006],"about_ca_topic_score_codex":0.0007968943,"about_ca_topic_score_gemma":0.000502302,"teacher_disagreement_score":0.0050975205,"about_ca_system_score_codex":0.0013442156,"about_ca_system_score_gemma":0.0004430873,"threshold_uncertainty_score":0.017052889},"labels":[],"label_agreement":null},{"id":"W2046421274","doi":"10.1088/0951-7715/23/7/007","title":"Tree composition condition and moments vanishing","year":2010,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Composition (language); Tree (set theory); Moment (physics); Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.028145833969910234,"score_gpt":0.3396407207018762,"score_spread":0.31149488673196596,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046421274","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6593757,0.0006232721,0.2842715,0.0018793278,0.00024045497,0.00007552565,0.00018513433,0.00043969674,0.05290937],"genre_scores_gemma":[0.98082626,0.00022493186,0.013088138,0.000116002404,0.00012059178,0.000042118634,0.00011605143,0.00013357501,0.005332316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896395,0.00017078499,0.000058483154,0.00016834821,0.00027095666,0.00036753205],"domain_scores_gemma":[0.9972007,0.001063922,0.00046575797,0.0002100318,0.00048709087,0.00057249964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014726999,0.00039326953,0.00070938707,0.0016267534,0.0025855876,0.0018773645,0.00092821853,0.0013439385,0.008432643],"category_scores_gemma":[0.0067938045,0.00033084245,0.00074138504,0.0007038118,0.0039561214,0.0049639596,0.0031156156,0.0017926592,0.00092430366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000118103,0.000021921473,0.0013394201,0.00007774216,0.0000077486175,0.00065571844,0.0005101578,0.0019522769,0.008306792,0.9800362,0.0005594068,0.0064144144],"study_design_scores_gemma":[0.00004987968,0.00014085918,0.0016926902,0.000044216744,0.000026179621,0.0014767519,0.0007190713,0.044463933,0.019803554,0.92700547,0.004522793,0.000054576547],"about_ca_topic_score_codex":0.0009386225,"about_ca_topic_score_gemma":0.0005851734,"teacher_disagreement_score":0.008432643,"about_ca_system_score_codex":0.0010477324,"about_ca_system_score_gemma":0.00095667766,"threshold_uncertainty_score":0.028210044},"labels":[],"label_agreement":null},{"id":"W2047647860","doi":"10.1155/ijmms/2006/17641","title":"Explicit decomposition of a rational prime in a cubic field","year":2006,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Prime (order theory); Decomposition; Field (mathematics); Cubic form; Pure mathematics; Arithmetic; Discrete mathematics; Combinatorics; Chemistry","score_opus":0.02866110772794359,"score_gpt":0.3618213347576977,"score_spread":0.33316022702975406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047647860","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43282932,0.0012910912,0.31698564,0.0028795137,0.0012250157,0.0002705882,0.00086453976,0.0012179599,0.24243627],"genre_scores_gemma":[0.90478945,0.00065585546,0.055268984,0.0003477835,0.00038744547,0.000060619906,0.0003999537,0.000283201,0.037806723],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996532,0.00003845341,0.000013838015,0.000048673126,0.00013072508,0.00011512785],"domain_scores_gemma":[0.99970216,0.00004666881,0.000041359763,0.000034480014,0.00009147667,0.00008383828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005700877,0.00070002966,0.00059433805,0.0018249204,0.0014028744,0.0017111176,0.00056873984,0.0005850206,0.009085196],"category_scores_gemma":[0.0007690104,0.00031083298,0.00054515555,0.0010269564,0.0024690842,0.0025269925,0.0013543352,0.002319868,0.0018641842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000079273465,0.00003541182,0.00026338518,0.00011964708,0.000005299313,0.00044249144,0.0005335855,0.00090978655,0.0055809924,0.9754013,0.0031120635,0.013516808],"study_design_scores_gemma":[0.000057589048,0.00008395875,0.00048736186,0.000045539746,0.000015796459,0.00082843687,0.00031294787,0.007922271,0.0051415744,0.95618194,0.028876875,0.000045568682],"about_ca_topic_score_codex":0.0012781073,"about_ca_topic_score_gemma":0.0012121542,"teacher_disagreement_score":0.009085196,"about_ca_system_score_codex":0.001010958,"about_ca_system_score_gemma":0.00079015654,"threshold_uncertainty_score":0.030393064},"labels":[],"label_agreement":null},{"id":"W2048667371","doi":"10.1007/s10801-010-0247-3","title":"Metric properties of the tropical Abel–Jacobi map","year":2010,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":79,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Centre de Recherches Mathématiques; National Science Foundation","keywords":"Mathematics; Combinatorics; Jacobian matrix and determinant; Graph; Tropical geometry; Metric space; Discrete mathematics","score_opus":0.022503369732882684,"score_gpt":0.26323520333283595,"score_spread":0.24073183359995326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048667371","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7973204,0.0015949996,0.059426095,0.002364432,0.00045971942,0.00005712327,0.0003983122,0.00018478873,0.13819411],"genre_scores_gemma":[0.9735431,0.000708993,0.0061671883,0.00022857444,0.00051810377,0.00003299972,0.00022486488,0.000108883665,0.01846735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995802,0.000080754995,0.000026751766,0.00007347618,0.00016010914,0.00007863036],"domain_scores_gemma":[0.9988626,0.00019507471,0.00024160084,0.00008566486,0.00030327446,0.00031174574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006540546,0.0005093584,0.0007618255,0.002677729,0.0017871949,0.0021002744,0.0007178779,0.00067396695,0.0053928094],"category_scores_gemma":[0.0016304431,0.00029290695,0.00042640293,0.0011036095,0.0020142032,0.0032979334,0.0015256978,0.0014427747,0.00072639994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016547658,0.000011032961,0.00021355374,0.000013714043,0.000003981833,0.000073586365,0.00016104932,0.0005364561,0.001540673,0.9948473,0.00048868696,0.0020935244],"study_design_scores_gemma":[0.000012233099,0.00004168961,0.00088051986,0.000007798586,0.000006991914,0.0003633461,0.00015297349,0.0072211884,0.0010151407,0.9855354,0.0047370517,0.000025581798],"about_ca_topic_score_codex":0.0012731896,"about_ca_topic_score_gemma":0.00063713477,"teacher_disagreement_score":0.0053928094,"about_ca_system_score_codex":0.0010868959,"about_ca_system_score_gemma":0.0006130344,"threshold_uncertainty_score":0.018040776},"labels":[],"label_agreement":null},{"id":"W2049095833","doi":"10.1016/j.nonrwa.2008.04.006","title":"New central configurations for the planar 7-body problem","year":2008,"lang":"en","type":"article","venue":"Nonlinear Analysis Real World Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Ministerio de Economía y Competitividad","keywords":"Pentagon; Planar; Geometry; Mathematics; Physics; Combinatorics; Computer science; Computer graphics (images)","score_opus":0.03844583187398773,"score_gpt":0.33115763011353316,"score_spread":0.2927117982395454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049095833","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35175458,0.0010627361,0.51086515,0.0030981884,0.0011595471,0.00021259386,0.00047759322,0.0005263018,0.13084322],"genre_scores_gemma":[0.82637715,0.00058884296,0.12715825,0.0007640439,0.00047207906,0.00037163513,0.0008279986,0.00053274346,0.042907268],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996358,0.00012267372,0.000015255674,0.000059176087,0.00008601157,0.00008099705],"domain_scores_gemma":[0.9992686,0.0001867018,0.00010971907,0.00007026428,0.00012452627,0.0002402652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072911236,0.0008036371,0.0010850328,0.0017126716,0.0017671258,0.0024014474,0.0018040144,0.0024416987,0.015373689],"category_scores_gemma":[0.0029463798,0.0006370136,0.0008978097,0.0007201092,0.0029889613,0.002182107,0.0047984086,0.0027109177,0.002191934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000156854,0.000043104796,0.00023135846,0.000078037585,0.00001739624,0.00018046075,0.00013903347,0.01403576,0.0019738267,0.9700542,0.0038230747,0.009266716],"study_design_scores_gemma":[0.00009374947,0.000061505976,0.00027619195,0.00003942852,0.000010764006,0.00016938898,0.0002123672,0.087116666,0.00064538844,0.90740854,0.0039311363,0.000034856657],"about_ca_topic_score_codex":0.0005140045,"about_ca_topic_score_gemma":0.0008119824,"teacher_disagreement_score":0.015373689,"about_ca_system_score_codex":0.0007785959,"about_ca_system_score_gemma":0.0008188211,"threshold_uncertainty_score":0.051430047},"labels":[],"label_agreement":null},{"id":"W2050285462","doi":"10.1017/s0308210511000023","title":"Analytic obstructions to isochronicity in codimension 1<sup>*</sup>","year":2013,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Comisión Nacional de Investigación Científica y Tecnológica; Dirección de Investigación, Universidad Austral de Chile; Universidad de Chile; University of Calgary","keywords":"Normalization (sociology); Codimension; Mathematics; Arithmetic function; Ordinary differential equation; Pure mathematics; Context (archaeology); Invariant (physics); Mathematical analysis; Applied mathematics; Differential equation; Algebra over a field; Mathematical physics","score_opus":0.020249404685664323,"score_gpt":0.26518876764538274,"score_spread":0.2449393629597184,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050285462","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8575897,0.00084782514,0.07751796,0.0011555662,0.00023097663,0.0000388495,0.000059804574,0.00019718644,0.06236227],"genre_scores_gemma":[0.9858407,0.000358004,0.0069719306,0.00013024964,0.00015237617,0.00003209933,0.000051583535,0.0000801206,0.0063829944],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993272,0.00013037809,0.000050429535,0.00011914339,0.00020020122,0.00017265868],"domain_scores_gemma":[0.9988582,0.00026491206,0.000295595,0.00016028303,0.00019657008,0.00022440938],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012773357,0.0004744412,0.0005671754,0.0012850766,0.0021148107,0.0024363687,0.00069056713,0.00065020804,0.0028568984],"category_scores_gemma":[0.0036790646,0.0002600875,0.0007083498,0.000609641,0.004218373,0.0038076,0.0027904941,0.0016701126,0.00040105413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014071604,0.0000094581,0.0002893799,0.000017010994,0.0000027982683,0.00012267954,0.0002906749,0.0005898386,0.0008487028,0.9958039,0.0001867563,0.0018247394],"study_design_scores_gemma":[0.00001263199,0.000034996356,0.0004359508,0.000012772776,0.0000057864686,0.00031383027,0.00025131693,0.0035285726,0.00090635277,0.99085605,0.0036267892,0.000014932433],"about_ca_topic_score_codex":0.0005257444,"about_ca_topic_score_gemma":0.00038559426,"teacher_disagreement_score":0.0028568984,"about_ca_system_score_codex":0.0012774062,"about_ca_system_score_gemma":0.00071797404,"threshold_uncertainty_score":0.009557307},"labels":[],"label_agreement":null},{"id":"W2051702433","doi":"10.1016/j.jmaa.2006.09.008","title":"The third order Melnikov function of a quadratic center under quadratic perturbations","year":2006,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Comissió Interdepartamental de Recerca i Innovació Tecnològica; Agence Universitaire de la Francophonie; National Natural Science Foundation of China","keywords":"Mathematics; Quadratic equation; Integrable system; Center (category theory); Limit (mathematics); Quadratic function; Mathematical analysis; Order (exchange); Perturbation (astronomy); Function (biology); Third order; Pure mathematics; Geometry; Physics","score_opus":0.015535731729253243,"score_gpt":0.280461928695511,"score_spread":0.26492619696625774,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051702433","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7224824,0.0006256956,0.21659179,0.0019377887,0.00084606686,0.000097536635,0.00018374903,0.00053248246,0.056702457],"genre_scores_gemma":[0.9713994,0.00034013786,0.006333476,0.000244312,0.00056483416,0.000048285074,0.000097625634,0.00024961506,0.02072228],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994085,0.00012965487,0.00001862899,0.00011487617,0.00018206645,0.00014637041],"domain_scores_gemma":[0.9979448,0.00038018049,0.0003602923,0.00016051075,0.00045009056,0.0007041343],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011325679,0.0011717253,0.0012259854,0.0024906169,0.0018648694,0.0025061104,0.0014848674,0.0018696452,0.00513577],"category_scores_gemma":[0.0040978272,0.0004002841,0.00093149964,0.00080371666,0.0038553323,0.0043820534,0.0024265598,0.0022724723,0.00068924326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023799509,0.00004202782,0.00027635784,0.00004975136,0.000022097864,0.00022398673,0.00039899882,0.005101221,0.015947543,0.97166294,0.00092435826,0.005112696],"study_design_scores_gemma":[0.0000516598,0.00020598892,0.0015265186,0.000025503507,0.000026649259,0.0006743041,0.00028391657,0.09798547,0.006786009,0.88918096,0.0031360907,0.00011700283],"about_ca_topic_score_codex":0.0015116682,"about_ca_topic_score_gemma":0.0005534603,"teacher_disagreement_score":0.00513577,"about_ca_system_score_codex":0.0019965873,"about_ca_system_score_gemma":0.001161703,"threshold_uncertainty_score":0.01718086},"labels":[],"label_agreement":null},{"id":"W2053511179","doi":"10.1016/j.jde.2011.09.043","title":"Spectral sequences and parametric normal forms","year":2011,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Parametric statistics; Singularity; Spectral properties; Pure mathematics; Foundation (evidence); Applied mathematics; Mathematical analysis; Statistics; Law","score_opus":0.07420482900999616,"score_gpt":0.30688625418248816,"score_spread":0.23268142517249202,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053511179","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36260653,0.006148096,0.37236843,0.009022651,0.0016544306,0.00008313468,0.00047757608,0.0003988186,0.2472403],"genre_scores_gemma":[0.92114097,0.00317557,0.020469585,0.0005565191,0.0010615818,0.00008555113,0.0003248124,0.00012805004,0.05305728],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994301,0.00016091378,0.000036029538,0.00010496494,0.00018103707,0.000086868255],"domain_scores_gemma":[0.99761665,0.0010067506,0.00029028681,0.00016907768,0.0005667497,0.00035042348],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012229752,0.0010877734,0.00073285244,0.0037935814,0.0018200479,0.0036921129,0.0010166323,0.0013887872,0.008969859],"category_scores_gemma":[0.005368088,0.00049141754,0.0006677525,0.0022139403,0.004047362,0.0077476627,0.0024218778,0.0029323185,0.0010710525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000066900634,0.000006951352,0.00004949623,0.000007661079,0.0000016046707,0.000020747739,0.000113861686,0.00024863868,0.00013307945,0.9968258,0.00032317545,0.0022623024],"study_design_scores_gemma":[0.000003647514,0.000004454279,0.000053570544,0.0000048292454,0.000001505142,0.00004755556,0.00006024,0.0013615247,0.000067270346,0.9968413,0.001549119,0.0000051365832],"about_ca_topic_score_codex":0.00082307705,"about_ca_topic_score_gemma":0.00064960535,"teacher_disagreement_score":0.008969859,"about_ca_system_score_codex":0.0012357762,"about_ca_system_score_gemma":0.00065032265,"threshold_uncertainty_score":0.030007243},"labels":[],"label_agreement":null},{"id":"W2054407665","doi":"10.1016/j.bulsci.2005.06.003","title":"On center sets of ODEs determined by moments of their coefficients","year":2005,"lang":"en","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Center (category theory); Mathematics; Mathematical analysis; Ordinary differential equation; Polynomial; Focus (optics); Vector field; Differential equation; Ode; Planar; Field (mathematics); Pure mathematics; Geometry; Physics","score_opus":0.04296709362221074,"score_gpt":0.32748316988122494,"score_spread":0.2845160762590142,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054407665","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.541913,0.0017512416,0.41289544,0.0008428082,0.00024313547,0.00014976728,0.0008928317,0.00042545775,0.040886346],"genre_scores_gemma":[0.955749,0.00095819694,0.029814646,0.00022708136,0.0003387742,0.000163269,0.00082139374,0.00045258526,0.01147503],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988992,0.00026736234,0.000052559324,0.00024444747,0.0002940565,0.00024245819],"domain_scores_gemma":[0.9928213,0.0038243479,0.001094695,0.00043253723,0.00082297943,0.0010041257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015708272,0.0014633413,0.0031785923,0.004601257,0.0024767998,0.0044196537,0.0029714804,0.0014924947,0.0066856463],"category_scores_gemma":[0.009826167,0.0010489373,0.002159187,0.0017353516,0.003556649,0.004293395,0.0039590816,0.003019271,0.0006020227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013399996,0.0000446315,0.0005510942,0.000059071102,0.000033743865,0.00010383222,0.000339945,0.0074917967,0.0018950694,0.9846393,0.0011004191,0.0036070552],"study_design_scores_gemma":[0.00006238353,0.000060593324,0.0011179008,0.000062973384,0.000044072072,0.00016849738,0.0002294197,0.11434148,0.0018364686,0.88020885,0.0018043107,0.000063037376],"about_ca_topic_score_codex":0.0026554454,"about_ca_topic_score_gemma":0.0018438929,"teacher_disagreement_score":0.0066856463,"about_ca_system_score_codex":0.003107272,"about_ca_system_score_gemma":0.001017788,"threshold_uncertainty_score":0.02254486},"labels":[],"label_agreement":null},{"id":"W2054519530","doi":"10.1142/s0218127404010709","title":"EXACT COMPUTATION OF THE BIFURCATION POINT B<sub>4</sub> OF THE LOGISTIC MAP AND THE BAILEY–BROADHURST CONJECTURES","year":2004,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; Western University","funders":"","keywords":"Mathematics; Logistic map; Bifurcation; Polynomial; Bifurcation theory; Computation; Point (geometry); Combinatorics; Pure mathematics; Discrete mathematics; Mathematical analysis; Nonlinear system; Algorithm; Geometry; Computer science; Artificial intelligence","score_opus":0.020448923056624626,"score_gpt":0.29268170451613,"score_spread":0.2722327814595054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054519530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84773606,0.00055693655,0.09747532,0.001504235,0.00017787084,0.00004363662,0.00016868584,0.0004382684,0.051898967],"genre_scores_gemma":[0.9841218,0.00015050793,0.010802027,0.00007424035,0.00005553128,0.0000232956,0.000099345896,0.00006763465,0.004605637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978167,0.00004318533,0.000011245256,0.000028729248,0.000086360975,0.00004881848],"domain_scores_gemma":[0.99940026,0.00024320246,0.00009267176,0.000106902844,0.00007661497,0.00008030328],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065549294,0.0005104503,0.0006845669,0.001276581,0.0010909494,0.0017908299,0.000984967,0.0009773048,0.0071294266],"category_scores_gemma":[0.0042364504,0.00030977651,0.00048787013,0.0006339309,0.001953667,0.0032162394,0.001965245,0.0015806825,0.0009385886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012556107,0.00006331117,0.0019545404,0.00012797907,0.000014642379,0.00038383692,0.00050440436,0.04853255,0.003267714,0.91994846,0.002571253,0.022505885],"study_design_scores_gemma":[0.000041647443,0.000030152409,0.0009840649,0.000033875414,0.0000109679795,0.00013328656,0.00017898963,0.27210668,0.0020715646,0.7224737,0.0018993851,0.0000356345],"about_ca_topic_score_codex":0.001778997,"about_ca_topic_score_gemma":0.002180769,"teacher_disagreement_score":0.0071294266,"about_ca_system_score_codex":0.0013277106,"about_ca_system_score_gemma":0.0007562948,"threshold_uncertainty_score":0.023850322},"labels":[],"label_agreement":null},{"id":"W2054967352","doi":"10.1016/j.physd.2010.01.007","title":"The Michelson system is neither global analytic, nor Darboux integrable","year":2010,"lang":"en","type":"article","venue":"Physica D Nonlinear Phenomena","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Fundação para a Ciência e a Tecnologia","keywords":"Integrable system; Differential (mechanical device); Nothing; Mathematics; Physics; Mathematical analysis; Mathematical physics; Philosophy","score_opus":0.017678523156456197,"score_gpt":0.3029455310737831,"score_spread":0.2852670079173269,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054967352","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66978776,0.0012821936,0.097274244,0.005612598,0.0008386078,0.000058828828,0.00060111826,0.00078772556,0.2237569],"genre_scores_gemma":[0.9692675,0.00037753116,0.006585762,0.00042955432,0.0002674498,0.000023697097,0.00022871829,0.000079359255,0.022740267],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958664,0.000054578115,0.000017915258,0.000116808,0.00013376046,0.000090302354],"domain_scores_gemma":[0.99933475,0.00013378494,0.00016044104,0.00010956186,0.00011201391,0.00014947577],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053021836,0.0005009875,0.00079687947,0.00081273826,0.0014468995,0.003283453,0.0005002691,0.0016170108,0.0052349223],"category_scores_gemma":[0.0016088318,0.0002951726,0.0004441064,0.00039750384,0.0021410976,0.0026220744,0.0017767485,0.0011263207,0.0009368338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038886377,0.000010201512,0.00038743883,0.0000499481,0.000018514156,0.00010463697,0.0001144184,0.0008642386,0.0031345545,0.98883116,0.0019877686,0.0044580437],"study_design_scores_gemma":[0.000029886965,0.000062529994,0.0011771398,0.000014564257,0.000014972804,0.00056752475,0.00019556594,0.014746733,0.0029353923,0.9646574,0.015556363,0.00004191413],"about_ca_topic_score_codex":0.00071205606,"about_ca_topic_score_gemma":0.00055498246,"teacher_disagreement_score":0.0052349223,"about_ca_system_score_codex":0.0010088985,"about_ca_system_score_gemma":0.00080534,"threshold_uncertainty_score":0.01751256},"labels":[],"label_agreement":null},{"id":"W2056692039","doi":"10.1007/s10958-015-2342-4","title":"On Tame and Wild Automorphisms of Algebras","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Automorphism; Mathematics; Monic polynomial; Ideal (ethics); Subalgebra; Modulo; Rank (graph theory); Associative algebra; Polynomial; Combinatorics; Pure mathematics; Integer (computer science); Discrete mathematics; Division algebra; Algebra over a field","score_opus":0.09829951931583164,"score_gpt":0.3552622006914223,"score_spread":0.25696268137559064,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056692039","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75027126,0.004883155,0.13863546,0.0046973834,0.0011800405,0.000078450976,0.00035323028,0.00026806034,0.09963299],"genre_scores_gemma":[0.97512543,0.0014601074,0.008396671,0.00043467485,0.0007364778,0.000043387776,0.00018977516,0.00008048118,0.01353284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984994,0.00048204648,0.00011157669,0.000268165,0.00030561213,0.00033322308],"domain_scores_gemma":[0.99471766,0.0024901875,0.0007384915,0.0006701622,0.0005299039,0.00085354585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003035146,0.0010946279,0.0014670513,0.0034464968,0.003115343,0.0038766207,0.001551206,0.0018264775,0.0056683407],"category_scores_gemma":[0.007594009,0.0008393184,0.0014852111,0.002000168,0.01034171,0.0111331735,0.0051587056,0.0038703247,0.0005406152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027620497,0.00001644458,0.00020318713,0.000012814234,0.0000045108877,0.00006531231,0.0003027771,0.00023179794,0.00019569763,0.9973007,0.00020522083,0.001434033],"study_design_scores_gemma":[0.000011184124,0.00001244307,0.0001017616,0.0000056851018,0.0000030932895,0.00005420659,0.00008071815,0.00065637066,0.000064756314,0.99835736,0.0006458421,0.000006578408],"about_ca_topic_score_codex":0.001226947,"about_ca_topic_score_gemma":0.0010176813,"teacher_disagreement_score":0.0056683407,"about_ca_system_score_codex":0.0018136383,"about_ca_system_score_gemma":0.0008974308,"threshold_uncertainty_score":0.018962502},"labels":[],"label_agreement":null},{"id":"W2057221583","doi":"10.1142/s021812740100233x","title":"DEGENERATE BIFURCATION ANALYSIS ON A PARAMETRICALLY AND EXTERNALLY EXCITED MECHANICAL SYSTEM","year":2001,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Homoclinic orbit; Degenerate energy levels; Bifurcation; Heteroclinic bifurcation; Eigenvalues and eigenvectors; Homoclinic bifurcation; Excited state; Amplitude; Mathematics; Classical mechanics; Codimension; Mathematical analysis; Mechanical system; Zero (linguistics); Heteroclinic cycle; Symmetry (geometry); Bifurcation theory; Physics; Nonlinear system; Geometry; Quantum mechanics","score_opus":0.03106305030305656,"score_gpt":0.3266971311260416,"score_spread":0.29563408082298503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057221583","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.815298,0.00038121847,0.16516472,0.00021423117,0.00004375727,0.000041060935,0.00007224861,0.000117295225,0.018667461],"genre_scores_gemma":[0.99541616,0.000070837974,0.0032131074,0.000015014365,0.0000074151476,0.000013045738,0.000018085635,0.000004281792,0.0012420695],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99984396,0.000031733223,0.000008662615,0.000033320004,0.00005873099,0.00002351435],"domain_scores_gemma":[0.9998671,0.00003472255,0.0000381201,0.000015727706,0.00002309877,0.000021167616],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021550574,0.00030347815,0.0006466145,0.00038787434,0.000557125,0.0004982316,0.0003847356,0.00068196194,0.0010384163],"category_scores_gemma":[0.00061317615,0.00018453824,0.0004446312,0.00020601369,0.0008973851,0.00041484626,0.00083738635,0.00035672143,0.000099476994],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022457488,0.000078348115,0.0046770466,0.0002711777,0.00011048298,0.0038602988,0.00076366303,0.61111116,0.14904417,0.21080469,0.00070790306,0.01834642],"study_design_scores_gemma":[0.000010621662,0.000048614096,0.0011822012,0.000006439225,0.000013960501,0.00024718596,0.000047725265,0.9821322,0.002311721,0.013432081,0.0005506769,0.000016586664],"about_ca_topic_score_codex":0.0011993662,"about_ca_topic_score_gemma":0.00051590876,"teacher_disagreement_score":0.0011993662,"about_ca_system_score_codex":0.00041896838,"about_ca_system_score_gemma":0.00024873353,"threshold_uncertainty_score":0.0034738183},"labels":[],"label_agreement":null},{"id":"W2057720700","doi":"10.2140/pjm.2007.229.63","title":"Multiplicity of invariant algebraic curves in polynomial vector fields","year":2007,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":206,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Montréal; Centre de Recherches Mathématiques","keywords":"Mathematics; Multiplicity (mathematics); Algebraic curve; Pure mathematics; Invariant (physics); Equivalence (formal languages); Algebraic cycle; Invariant theory; Algebraic number; Algebra over a field; Mathematical analysis","score_opus":0.035012359317024816,"score_gpt":0.30977019450046517,"score_spread":0.2747578351834403,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057720700","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62413746,0.0019109688,0.31964985,0.0007095075,0.00036547033,0.00013939972,0.0002597708,0.00026156902,0.052566033],"genre_scores_gemma":[0.9601419,0.0006663064,0.03146497,0.00007133643,0.00034135784,0.00008273813,0.00015135661,0.0000768133,0.007003246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99823606,0.00033978492,0.00016349558,0.00033664188,0.00059840485,0.00032549974],"domain_scores_gemma":[0.9971865,0.000609571,0.00076470856,0.00031087198,0.00052009546,0.00060830405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014724791,0.0008598361,0.00080878544,0.0049000457,0.001788232,0.0032790767,0.0013093675,0.00087021274,0.0040176096],"category_scores_gemma":[0.0039193206,0.00033828776,0.0008351806,0.0018093833,0.0044185463,0.006839141,0.0036043616,0.0021516155,0.0006218638],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027609667,0.000018990131,0.00096448127,0.000044353757,0.000006779714,0.00019256567,0.0004037892,0.0017092358,0.0021962777,0.98815036,0.00025519737,0.0060303165],"study_design_scores_gemma":[0.00001627503,0.00011160428,0.0013529365,0.00005597523,0.000017672175,0.00083226187,0.00036825796,0.014440449,0.0044090725,0.9678907,0.010448799,0.00005608231],"about_ca_topic_score_codex":0.00032371844,"about_ca_topic_score_gemma":0.00014226069,"teacher_disagreement_score":0.0049000457,"about_ca_system_score_codex":0.0017401238,"about_ca_system_score_gemma":0.00053788995,"threshold_uncertainty_score":0.013440311},"labels":[],"label_agreement":null},{"id":"W2057943974","doi":"10.1080/10236190903325144","title":"Patterns of boundedness of a rational system in the plane","year":2010,"lang":"en","type":"article","venue":"The Journal of Difference Equations and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Plane (geometry); Pure mathematics; Mathematical analysis; Geometry","score_opus":0.03080669452048361,"score_gpt":0.30030379862732504,"score_spread":0.2694971041068414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057943974","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9088746,0.00033056724,0.077533916,0.0004119523,0.000020751266,0.000038617913,0.00010140058,0.00012240463,0.01256576],"genre_scores_gemma":[0.9931433,0.00010734649,0.005480558,0.000023386812,0.00000798799,0.000024102257,0.000063791435,0.000018472918,0.001131128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990933,0.00025607314,0.00007039896,0.00017333188,0.00019707177,0.0002097574],"domain_scores_gemma":[0.99646926,0.0014525616,0.0009764596,0.00030674326,0.0005059822,0.0002889906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010654726,0.0005092934,0.0008694113,0.001300164,0.00069289457,0.0024321077,0.00096608856,0.0010276884,0.0040306817],"category_scores_gemma":[0.0067302855,0.00033720137,0.00054803246,0.00063628337,0.002708879,0.0019673551,0.0013257962,0.0009632646,0.00040608598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004702369,0.00007515622,0.007503415,0.00020018431,0.00008118517,0.0011894176,0.0016432505,0.059285607,0.042480707,0.8731023,0.00096319115,0.013005233],"study_design_scores_gemma":[0.00015512141,0.00022603474,0.0041347924,0.00006967355,0.000039203853,0.00086784054,0.0010576067,0.3946435,0.012422919,0.5837327,0.002537744,0.00011287078],"about_ca_topic_score_codex":0.0013292935,"about_ca_topic_score_gemma":0.00045546197,"teacher_disagreement_score":0.0040306817,"about_ca_system_score_codex":0.00089063606,"about_ca_system_score_gemma":0.00036574638,"threshold_uncertainty_score":0.013483942},"labels":[],"label_agreement":null},{"id":"W2058335669","doi":"10.4153/cjm-2004-015-2","title":"The Geometry of Quadratic Differential Systems with a Weak Focus of Third Order","year":2004,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Mathematical Society","keywords":"Mathematics; Quadratic differential; Focus (optics); Context (archaeology); Limit cycle; Phase portrait; Quadratic equation; Limit (mathematics); Differential geometry; Topology (electrical circuits); Pure mathematics; Mathematical analysis; Geometry; Combinatorics","score_opus":0.018554681450239398,"score_gpt":0.2489121354580084,"score_spread":0.230357454007769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058335669","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95540655,0.00022953567,0.027995644,0.00017781109,0.00001564992,0.00003370137,0.00007699429,0.0000445359,0.016019713],"genre_scores_gemma":[0.9952689,0.00008966516,0.0019705954,0.000015222179,0.000012520325,0.000019246692,0.000056753765,0.000009530477,0.0025575014],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998252,0.00001983517,0.0000073370265,0.000036745532,0.00006775355,0.00004315452],"domain_scores_gemma":[0.9997639,0.000035468893,0.000060128063,0.000025440382,0.00005729362,0.000057694044],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001713845,0.0002683605,0.00035964302,0.00083846226,0.00079401734,0.00105948,0.00039751484,0.00030082796,0.0036871275],"category_scores_gemma":[0.00056404,0.00020774895,0.0002714601,0.00023008602,0.0015090974,0.0010869581,0.001451612,0.00045914875,0.00020971305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009547823,0.0000264055,0.004115083,0.00008797284,0.00002997916,0.00060298276,0.0010670266,0.01830109,0.031136584,0.9336795,0.0006229369,0.010235025],"study_design_scores_gemma":[0.000103716084,0.0006014881,0.023179688,0.0000650614,0.00006640146,0.0020820969,0.0027498899,0.16254313,0.023730105,0.7620812,0.022701623,0.00009561628],"about_ca_topic_score_codex":0.0010053929,"about_ca_topic_score_gemma":0.0004930435,"teacher_disagreement_score":0.0036871275,"about_ca_system_score_codex":0.00090576534,"about_ca_system_score_gemma":0.00017507387,"threshold_uncertainty_score":0.012334645},"labels":[],"label_agreement":null},{"id":"W2059495963","doi":"10.1007/s11071-007-9220-7","title":"Computation of focus values with applications","year":2007,"lang":"en","type":"article","venue":"Nonlinear Dynamics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Focus (optics); Computation; Nonlinear system; Computer science; Singular value; Computational complexity theory; Algorithm; Dynamical systems theory; Theoretical computer science; Applied mathematics; Point (geometry); Value (mathematics); Mathematical optimization; Mathematics; Machine learning; Geometry; Physics","score_opus":0.02007685812131852,"score_gpt":0.32297350110020245,"score_spread":0.3028966429788839,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059495963","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03898233,0.00029563488,0.9532229,0.00017216179,0.00006689741,0.000028515688,0.000043908392,0.00032992344,0.0068578254],"genre_scores_gemma":[0.6548414,0.00039403577,0.33496532,0.00009150564,0.00009954,0.000113221875,0.00016495962,0.00037376,0.008956221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99975175,0.0000743837,0.000014090093,0.00005399513,0.00007331203,0.00003250668],"domain_scores_gemma":[0.99892527,0.0006127576,0.00005032971,0.00012525335,0.00020114976,0.00008518792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093491276,0.0008594446,0.0006859021,0.0014971358,0.0006902303,0.0013949889,0.001181211,0.0010684762,0.00643298],"category_scores_gemma":[0.006587731,0.00042264708,0.00054328324,0.00095825206,0.0009798561,0.0019470766,0.0025134508,0.0010262858,0.00085720693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048756317,0.00010158884,0.0026705675,0.00034807203,0.00007970332,0.0004060228,0.00062134786,0.16945864,0.016619394,0.50934887,0.0058515924,0.29400653],"study_design_scores_gemma":[0.000023831011,0.00004584003,0.0004439345,0.000031979227,0.000019346393,0.0001099448,0.000074506475,0.7956895,0.007189284,0.19235781,0.004000176,0.000013711935],"about_ca_topic_score_codex":0.0007086756,"about_ca_topic_score_gemma":0.00070755504,"teacher_disagreement_score":0.00643298,"about_ca_system_score_codex":0.00051684567,"about_ca_system_score_gemma":0.00034622112,"threshold_uncertainty_score":0.021520436},"labels":[],"label_agreement":null},{"id":"W2059983606","doi":"10.2140/pjm.2005.218.343","title":"A family of isochronous foci with Darboux first integral","year":2005,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Integrable system; Mathematics; Focus (optics); Center (category theory); Homogeneous; Class (philosophy); Polynomial; Pure mathematics; Algebraic number; Differential (mechanical device); Mathematical physics; Mathematical analysis; Combinatorics; Physics","score_opus":0.027988691285826723,"score_gpt":0.278500290415817,"score_spread":0.25051159912999027,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059983606","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86655843,0.0016706837,0.07795935,0.00083822187,0.00013470116,0.000060285078,0.0001667947,0.00024803067,0.052363496],"genre_scores_gemma":[0.98316103,0.00044410545,0.008299832,0.0001009168,0.0000697073,0.00004715809,0.00008412419,0.000040463052,0.0077527054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997837,0.000031364918,0.00001157998,0.000053940857,0.00006231927,0.000057065772],"domain_scores_gemma":[0.99956447,0.00008785627,0.00009537273,0.000035081714,0.00008503563,0.00013220422],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004090417,0.00053475733,0.000665689,0.001295641,0.0015131955,0.0014882308,0.0006939281,0.0009172156,0.0036492033],"category_scores_gemma":[0.0014218687,0.00035622207,0.00060656114,0.00043005048,0.0016298464,0.0013967062,0.0011336802,0.00082372787,0.00032212463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005865887,0.000029802597,0.0018098704,0.000068787725,0.000025269752,0.0010174037,0.0006911127,0.0082234,0.005051235,0.97450405,0.0010021182,0.007518238],"study_design_scores_gemma":[0.00014273392,0.00017755596,0.0032926565,0.000059032813,0.000027405906,0.0020485183,0.00059506454,0.10953713,0.0036192052,0.86597127,0.014461732,0.000067712055],"about_ca_topic_score_codex":0.0021694966,"about_ca_topic_score_gemma":0.001142929,"teacher_disagreement_score":0.0036492033,"about_ca_system_score_codex":0.0013655566,"about_ca_system_score_gemma":0.00063925603,"threshold_uncertainty_score":0.012207806},"labels":[],"label_agreement":null},{"id":"W2060340463","doi":"10.1007/bf03321852","title":"Local Behavior of Entire Functions of Exponential Type","year":2004,"lang":"en","type":"article","venue":"Computational Methods and Function Theory","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Exponential type; Entire function; Exponential function; Bounded function; Type (biology); Trigonometry; Pure mathematics; Order (exchange); Constant (computer programming); Combinatorics; Mathematical analysis","score_opus":0.04947639276587441,"score_gpt":0.37959590924085496,"score_spread":0.33011951647498056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060340463","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5809466,0.0014201009,0.37347516,0.0017900061,0.00019087255,0.000041537227,0.00023553568,0.0007437807,0.041156434],"genre_scores_gemma":[0.9632001,0.00077107927,0.014563532,0.000229729,0.00023305714,0.00007612058,0.0002274236,0.0004676877,0.020231295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951136,0.00015320451,0.000017103304,0.00010281908,0.00011736374,0.000098043405],"domain_scores_gemma":[0.9945799,0.0028847994,0.00058174686,0.000504533,0.0008022798,0.0006466569],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018871435,0.00094174786,0.0009785034,0.0019976613,0.00087787467,0.002289638,0.00139429,0.0011243679,0.0060365973],"category_scores_gemma":[0.013035126,0.00046451716,0.00066181604,0.0007144548,0.0030728797,0.004694022,0.0022193252,0.0018597657,0.00069244043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011107095,0.00007407534,0.00128624,0.00015084974,0.00003309336,0.00021150232,0.00047644784,0.019200686,0.005736326,0.96372294,0.0020956483,0.0069011445],"study_design_scores_gemma":[0.000034001587,0.00005080824,0.0018456575,0.00004972175,0.000035969668,0.00032221773,0.00029915205,0.22121951,0.0028971098,0.7713112,0.0018902648,0.00004433273],"about_ca_topic_score_codex":0.0007179647,"about_ca_topic_score_gemma":0.00053476373,"teacher_disagreement_score":0.0060365973,"about_ca_system_score_codex":0.0012941043,"about_ca_system_score_gemma":0.00052381214,"threshold_uncertainty_score":0.02019447},"labels":[],"label_agreement":null},{"id":"W2062439271","doi":"10.1016/j.bulsci.2006.11.005","title":"Vanishing of higher-order moments on Lipschitz curves","year":2006,"lang":"fr","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Lipschitz continuity; Mathematics; Ordinary differential equation; Center (category theory); Order (exchange); Mathematical analysis; Differential equation; Pure mathematics","score_opus":0.047282947701026486,"score_gpt":0.3259415874076555,"score_spread":0.278658639706629,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062439271","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79944956,0.0018698424,0.15350388,0.0028007275,0.00063025625,0.000052522602,0.00030984895,0.0007367869,0.040646676],"genre_scores_gemma":[0.9699634,0.00085844,0.009864526,0.00023876922,0.00085590093,0.000034691107,0.00020432036,0.00030862135,0.017671444],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991229,0.00018484495,0.000049594775,0.00016481815,0.00024178207,0.00023613863],"domain_scores_gemma":[0.9913304,0.0035216182,0.0014949859,0.0005599761,0.0009718748,0.0021210974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015664971,0.0015384114,0.0021395313,0.007440762,0.0019657388,0.004528647,0.0021563054,0.002359781,0.0077403523],"category_scores_gemma":[0.012812351,0.0010090085,0.0015157554,0.0020469849,0.004300268,0.0072542806,0.0033930696,0.0036036372,0.0007775671],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013488073,0.00006253119,0.00090230594,0.00009923539,0.000031947493,0.00042605514,0.00030546394,0.0036344675,0.0043186704,0.983043,0.0011342644,0.005907084],"study_design_scores_gemma":[0.000034317294,0.00006925373,0.0025991893,0.000035809317,0.000033750443,0.0006530311,0.00013910956,0.043846652,0.0017289096,0.9491917,0.0015959649,0.00007233675],"about_ca_topic_score_codex":0.0013100036,"about_ca_topic_score_gemma":0.0012026087,"teacher_disagreement_score":0.0077403523,"about_ca_system_score_codex":0.0028846995,"about_ca_system_score_gemma":0.0009029825,"threshold_uncertainty_score":0.025894046},"labels":[],"label_agreement":null},{"id":"W2062592254","doi":"10.1063/1.1509087","title":"The maximum dimension of the inheriting algebra in perfect fluid space–times","year":2002,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick; Dalhousie University","funders":"","keywords":"Dimension (graph theory); Mathematics; Conformal map; Space (punctuation); Algebra over a field; Pure mathematics; Lie algebra; Mathematical analysis; Computer science","score_opus":0.03227244341553542,"score_gpt":0.27500457335079115,"score_spread":0.24273212993525572,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062592254","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97310513,0.00026514445,0.014242294,0.00027548714,0.000028401677,0.000008983658,0.00007524909,0.000056939567,0.011942271],"genre_scores_gemma":[0.99656725,0.00017084187,0.002476703,0.000014926232,0.000031960157,0.000008885194,0.000045404744,0.000008328039,0.00067565544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996445,0.00006302363,0.000028592476,0.00005946002,0.00008276119,0.00012168171],"domain_scores_gemma":[0.9992601,0.00018950872,0.00015539564,0.00006975134,0.00008543538,0.00023977493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062169554,0.00038331153,0.00043605457,0.0014310163,0.0011702926,0.0016219969,0.0006066299,0.00045869686,0.002541065],"category_scores_gemma":[0.0012276471,0.00025017053,0.00047524413,0.00059148704,0.0030531746,0.002794411,0.0012046415,0.0007487076,0.0002270055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007241854,0.000034367175,0.0014119011,0.00006454757,0.00001235623,0.00024666145,0.0004718199,0.005167291,0.005059596,0.98268557,0.0004087909,0.0043646926],"study_design_scores_gemma":[0.000021968237,0.00009099625,0.00203477,0.000024780195,0.000012106308,0.0003944819,0.00029027832,0.018754203,0.004235728,0.97281253,0.0012759566,0.000052133848],"about_ca_topic_score_codex":0.0006541278,"about_ca_topic_score_gemma":0.00055538886,"teacher_disagreement_score":0.002541065,"about_ca_system_score_codex":0.00065306074,"about_ca_system_score_gemma":0.0005644019,"threshold_uncertainty_score":0.008500695},"labels":[],"label_agreement":null},{"id":"W2063395873","doi":"10.1007/s10884-005-5812-4","title":"Structural Stability of Planar Polynomial Foliations","year":2005,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Planar; Polynomial; Degree (music); Perturbation (astronomy); Pure mathematics; Structural stability; Stability (learning theory); Mathematical analysis; Kharitonov's theorem; Set (abstract data type); Stable polynomial; Matrix polynomial; Alternating polynomial; Square-free polynomial; Computer science; Physics","score_opus":0.03451676185486306,"score_gpt":0.30114341842310477,"score_spread":0.2666266565682417,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063395873","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90264535,0.00038607276,0.06022064,0.0010798598,0.00009397785,0.000044181703,0.00018789539,0.00014986313,0.035192262],"genre_scores_gemma":[0.9932214,0.00016854465,0.0018342494,0.000042504405,0.000050160965,0.000014023953,0.00009935793,0.000024910769,0.0045448877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997004,0.00004094795,0.000009206091,0.00005855865,0.000102305516,0.00008861246],"domain_scores_gemma":[0.9989483,0.0003443836,0.00024605956,0.00008557087,0.00020149403,0.00017429159],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003665438,0.00039044974,0.0005932856,0.0016369778,0.0016090071,0.002092918,0.0006539882,0.00094452634,0.0056872796],"category_scores_gemma":[0.0028022407,0.00035057243,0.00047755602,0.0006373218,0.00234965,0.002170523,0.0017015274,0.0011700835,0.00045613977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000079346224,0.000024073504,0.00056545954,0.000026709246,0.000010663701,0.00009583567,0.00031241958,0.0131416395,0.002917209,0.9759344,0.00088370807,0.006008561],"study_design_scores_gemma":[0.000029438324,0.00004366148,0.0007867746,0.000008492819,0.0000074382347,0.00011724579,0.00022534034,0.05111234,0.001079659,0.94495803,0.0016135811,0.000017895733],"about_ca_topic_score_codex":0.0018545884,"about_ca_topic_score_gemma":0.0009831946,"teacher_disagreement_score":0.0056872796,"about_ca_system_score_codex":0.0011542834,"about_ca_system_score_gemma":0.00048591717,"threshold_uncertainty_score":0.019025803},"labels":[],"label_agreement":null},{"id":"W2064089235","doi":"10.1142/s0218127406016720","title":"THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER","year":2006,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":69,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Quadratic differential; Mathematics; Focus (optics); Closure (psychology); Quadratic equation; Pure mathematics; Dynamical systems theory; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.01047172852068918,"score_gpt":0.2673286296758281,"score_spread":0.25685690115513893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064089235","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8601376,0.0014423335,0.06466585,0.0011254811,0.000106397616,0.00007346803,0.00025375313,0.0001000689,0.07209512],"genre_scores_gemma":[0.988357,0.0004166689,0.0043624886,0.00008142874,0.00010041835,0.000030197905,0.0001277801,0.000022927676,0.006501105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973553,0.00004260581,0.000010118493,0.000053098276,0.00011335272,0.000045341712],"domain_scores_gemma":[0.9997008,0.00007535895,0.000067625515,0.000024659515,0.00007397048,0.00005767456],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025286086,0.0002819381,0.00026303635,0.0011601091,0.00078899827,0.0015126739,0.00044264592,0.00035612442,0.0037527243],"category_scores_gemma":[0.0007557167,0.0002326032,0.00031657482,0.00041604807,0.0017235006,0.0017910472,0.0013802161,0.00073792174,0.00041054765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020289588,0.000007612835,0.000591478,0.00004301578,0.0000058286746,0.00014883484,0.0005251699,0.0033861713,0.0049711876,0.9846206,0.0006846493,0.004995105],"study_design_scores_gemma":[0.000029548448,0.00009088049,0.0037468367,0.00002175589,0.000011231627,0.0005657563,0.00040096516,0.04265067,0.0027612483,0.9352495,0.014440433,0.000031357595],"about_ca_topic_score_codex":0.0013922481,"about_ca_topic_score_gemma":0.00041822638,"teacher_disagreement_score":0.0037527243,"about_ca_system_score_codex":0.0011920757,"about_ca_system_score_gemma":0.0002693615,"threshold_uncertainty_score":0.012554169},"labels":[],"label_agreement":null},{"id":"W2064688029","doi":"10.1007/s10688-006-0019-y","title":"An analog of determinant related to Parshin—Kato theory and integer polytopes","year":2006,"lang":"en","type":"article","venue":"Functional Analysis and Its Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Polytope; Mathematics; Multilinear map; Integer (computer science); Polynomial; Function (biology); Vector space; Product (mathematics); Combinatorics; Computation; Discrete mathematics; Algebra over a field; Pure mathematics; Mathematical analysis; Geometry; Algorithm","score_opus":0.012994261958771873,"score_gpt":0.29012429356572167,"score_spread":0.2771300316069498,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064688029","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46589142,0.0035406018,0.25422105,0.007192702,0.0033229454,0.00008918984,0.0004778766,0.00048080474,0.2647834],"genre_scores_gemma":[0.9532792,0.0009573153,0.013556531,0.0009458104,0.0017158064,0.000048605543,0.00018919926,0.00013414994,0.029173369],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953806,0.00012262723,0.000022636255,0.000111032394,0.00012423018,0.00008141947],"domain_scores_gemma":[0.99907315,0.00025274462,0.0001850901,0.00009587094,0.00017925233,0.00021387161],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006703441,0.0006939096,0.0009726356,0.0027321358,0.001730013,0.002672176,0.0011683956,0.0013894532,0.0070789885],"category_scores_gemma":[0.002473697,0.00037219588,0.0009446682,0.0013986776,0.0034782207,0.0040961867,0.0017436302,0.0021713637,0.00061301165],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007942735,0.000009935145,0.000076543765,0.000015808026,0.0000040714262,0.000045983386,0.00006882717,0.00045582137,0.0003683649,0.9970727,0.000593971,0.0012799576],"study_design_scores_gemma":[0.0000067696424,0.000011757846,0.00021013917,0.0000064873943,0.0000039903425,0.000112115275,0.000042612308,0.004138279,0.00013164718,0.99358773,0.0017369533,0.0000114802415],"about_ca_topic_score_codex":0.0011901276,"about_ca_topic_score_gemma":0.0008239218,"teacher_disagreement_score":0.0070789885,"about_ca_system_score_codex":0.0013252761,"about_ca_system_score_gemma":0.0007871583,"threshold_uncertainty_score":0.023681521},"labels":[],"label_agreement":null},{"id":"W2065982121","doi":"10.4153/cjm-2008-005-8","title":"Affine Lines on Affine Surfaces and the Makar–Limanov Invariant","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Université de Montréal; Centre de Recherches Mathématiques; McGill University","keywords":"Mathematics; Fibration; Affine transformation; Pure mathematics; Invariant (physics); Descent (aeronautics); Geometry; Topology (electrical circuits); Combinatorics; Mathematical physics","score_opus":0.05104836763826085,"score_gpt":0.2639796559953771,"score_spread":0.21293128835711625,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2065982121","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9716456,0.00041892598,0.0072547602,0.00029581683,0.000029807312,0.000011700016,0.000056875368,0.00004685683,0.020239737],"genre_scores_gemma":[0.9974685,0.00009354168,0.00070294866,0.000019980724,0.000028246079,0.000004623375,0.00003488105,0.000003817984,0.0016433705],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997682,0.000041591957,0.000013939361,0.000048465692,0.00007974107,0.000048056205],"domain_scores_gemma":[0.9994956,0.00009543767,0.0001738781,0.00002974939,0.000081852304,0.00012343393],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026556128,0.00025502173,0.00025074268,0.0019550733,0.00079016143,0.0015730776,0.00030980163,0.00046826465,0.0028708146],"category_scores_gemma":[0.0010735855,0.00014289096,0.0001741711,0.00061407033,0.0018088252,0.0016339871,0.0011143639,0.0004677222,0.00030067225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009686939,0.000030574003,0.0068660043,0.00005343487,0.0000107224905,0.0005559239,0.00070344296,0.0026381246,0.010522873,0.9686027,0.00049336767,0.009425859],"study_design_scores_gemma":[0.000027993183,0.00019558809,0.020597069,0.000053636482,0.000015632018,0.0012551286,0.0011405783,0.017034095,0.0063404664,0.94323516,0.01006219,0.000042479423],"about_ca_topic_score_codex":0.0005820409,"about_ca_topic_score_gemma":0.0003586118,"teacher_disagreement_score":0.0028708146,"about_ca_system_score_codex":0.00060330733,"about_ca_system_score_gemma":0.00016177578,"threshold_uncertainty_score":0.009603858},"labels":[],"label_agreement":null},{"id":"W2066015014","doi":"10.1016/j.jde.2014.05.057","title":"Corrigendum to “Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions” [J. Differential Equations 251 (9) (2011) 2466–2493]","year":2014,"lang":"en","type":"erratum","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Type (biology); Differential equation; Mathematical analysis; Differential (mechanical device); Applied mathematics; Physics; Thermodynamics; Biology","score_opus":0.05934421255785071,"score_gpt":0.287686514159461,"score_spread":0.2283423016016103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066015014","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00014451773,0.0028226564,0.0009963618,0.04289452,0.9424968,0.00004267957,0.000639968,0.00025355667,0.00970895],"genre_scores_gemma":[0.0108139925,0.016498968,0.0052770367,0.092962444,0.312713,0.00035492517,0.0031962555,0.0010827978,0.55710053],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99540365,0.00061790476,0.00071787013,0.00076548423,0.0020665207,0.00042852352],"domain_scores_gemma":[0.98589826,0.002677869,0.00061159936,0.0009805753,0.009247089,0.00058451114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028588644,0.0028686107,0.0031717587,0.0054260427,0.0045106127,0.0035014616,0.0051009916,0.007191275,0.08624579],"category_scores_gemma":[0.029554512,0.0015305993,0.0030109647,0.003548713,0.0029930482,0.004552205,0.0028294404,0.008376602,0.04224351],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002187473,0.000010562003,0.000038106176,0.00013001396,0.000011781686,0.00011434093,0.000018516344,0.00006220037,0.000045263077,0.0020389396,0.99356306,0.0039453832],"study_design_scores_gemma":[0.000036547386,0.000039828188,0.0012134593,0.00030738162,0.00004573515,0.00034412276,0.000069781425,0.00049703236,0.00036889646,0.0068072593,0.9902064,0.000063576954],"about_ca_topic_score_codex":0.026615132,"about_ca_topic_score_gemma":0.03858527,"teacher_disagreement_score":0.08624579,"about_ca_system_score_codex":0.0068061845,"about_ca_system_score_gemma":0.00417757,"threshold_uncertainty_score":0.28852093},"labels":[],"label_agreement":null},{"id":"W2066671655","doi":"10.4172/1736-4337.1000124","title":"An algebraic approach to the center problem for ODEs 1","year":2008,"lang":"en","type":"article","venue":"Journal of Generalized Lie Theory and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Center (category theory); Mathematics; Algebra over a field; Algebraic number; Ode; Pure mathematics; Applied mathematics; Mathematical analysis","score_opus":0.043072273165156126,"score_gpt":0.3248459611791897,"score_spread":0.2817736880140336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066671655","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06536514,0.0017955335,0.8695507,0.0027619754,0.0002571405,0.00011459342,0.00044669176,0.00017270035,0.059535507],"genre_scores_gemma":[0.8001599,0.003772589,0.1568064,0.00084955286,0.0014697602,0.0002676137,0.00086904946,0.00024807669,0.035557184],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993893,0.00015462581,0.000032204647,0.00015541351,0.0001920036,0.00007643366],"domain_scores_gemma":[0.99905175,0.0003840113,0.00013341695,0.00008775194,0.00024019749,0.00010290716],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00091965706,0.0007706261,0.00080707396,0.00202415,0.0013143991,0.001981189,0.0011077874,0.0014760821,0.0058691096],"category_scores_gemma":[0.0032917573,0.000321329,0.0010480793,0.0011828148,0.003120124,0.0056085656,0.0033757172,0.0023761583,0.00071992463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000045756665,0.0000058940946,0.0000676189,0.000022136092,0.000003317924,0.000024578341,0.00006613931,0.0019798027,0.00035554994,0.99421245,0.00060063,0.0026572507],"study_design_scores_gemma":[0.000007995288,0.000022073507,0.00008849602,0.000013968267,0.00000546017,0.000059149115,0.000072292365,0.022202663,0.00035688886,0.9710744,0.0060862056,0.000010350343],"about_ca_topic_score_codex":0.0013383497,"about_ca_topic_score_gemma":0.00077694276,"teacher_disagreement_score":0.0058691096,"about_ca_system_score_codex":0.0014885666,"about_ca_system_score_gemma":0.0009515116,"threshold_uncertainty_score":0.019634187},"labels":[],"label_agreement":null},{"id":"W2066699693","doi":"10.1007/bf02968134","title":"Planar quadratic vector fields with invariant lines of total multiplicity at least five","year":2004,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Invariant (physics); Invariant theory; Multiplicity (mathematics); Pure mathematics; Quadratic equation; Line at infinity; Quadratic differential; Orbit (dynamics); Projective plane; Planar; Mathematical analysis; Projective line; Algebra over a field; Projective space; Geometry; Mathematical physics; Computer science","score_opus":0.044828513685787164,"score_gpt":0.3350166329130108,"score_spread":0.29018811922722365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066699693","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9316501,0.0001859445,0.04677889,0.0001469809,0.000031683405,0.00003926496,0.00008715908,0.00010501207,0.020975018],"genre_scores_gemma":[0.9898346,0.00008422066,0.006395827,0.000012008008,0.000019299187,0.000017371363,0.00006659016,0.000012569483,0.0035574806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971,0.00003482573,0.00001787458,0.000061397855,0.000087654465,0.00008814477],"domain_scores_gemma":[0.9995876,0.000050667833,0.00017194785,0.00005195781,0.00005517509,0.000082677914],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002589466,0.00037029604,0.00027258828,0.0007675659,0.000858148,0.0010382319,0.00034668235,0.00026627217,0.0049454626],"category_scores_gemma":[0.0007280684,0.00013013378,0.00040851053,0.00048050264,0.0016722017,0.0011478476,0.0009140252,0.00046861992,0.0003132967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012825562,0.000046639896,0.003064727,0.000085136126,0.000026445598,0.0007011186,0.0006687049,0.016435653,0.015442156,0.9454093,0.00042272863,0.017569166],"study_design_scores_gemma":[0.00013452352,0.0005609039,0.008587646,0.00005835886,0.000056675384,0.0012782165,0.0016815368,0.1055988,0.021460623,0.83957225,0.020876158,0.00013434864],"about_ca_topic_score_codex":0.0012402484,"about_ca_topic_score_gemma":0.00082547066,"teacher_disagreement_score":0.0049454626,"about_ca_system_score_codex":0.0010274868,"about_ca_system_score_gemma":0.0003427483,"threshold_uncertainty_score":0.016544223},"labels":[],"label_agreement":null},{"id":"W2067656436","doi":"10.4153/cmb-2007-036-0","title":"Global Injectivity of<i>C</i><sup>1</sup>Maps of the Real Plane, Inseparable Leaves and the Palais–Smale Condition","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; Ministerio de Educación, Cultura y Deporte; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Fundação de Amparo à Pesquisa do Estado de São Paulo; Canadian Mathematical Society","keywords":"Mathematics; Converse; Jacobian matrix and determinant; Pure mathematics; Point (geometry); Plane (geometry); Component (thermodynamics); Mathematical analysis; Applied mathematics; Geometry","score_opus":0.012852671066784675,"score_gpt":0.25787486670220916,"score_spread":0.2450221956354245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067656436","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85240847,0.00073589134,0.09665878,0.0005010775,0.00005370481,0.000042414817,0.00012610629,0.00020326345,0.049270265],"genre_scores_gemma":[0.9901163,0.0001654239,0.0056019933,0.000060114373,0.0000374513,0.000026956515,0.00007798602,0.0000387327,0.0038751157],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995616,0.000053523792,0.00003051969,0.00012212616,0.0001247781,0.00010744038],"domain_scores_gemma":[0.99834216,0.0005099358,0.00031340448,0.00018449136,0.0002916641,0.00035834403],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089177524,0.0004750838,0.0005662927,0.001391574,0.00083551614,0.002351882,0.000443634,0.0006347011,0.004049579],"category_scores_gemma":[0.0018362008,0.00031441246,0.0006824987,0.00036957447,0.0029056075,0.0032030267,0.0017816628,0.0014232668,0.00048110026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014448796,0.00006444866,0.0026997472,0.0001075223,0.000033289674,0.00073737645,0.00086134695,0.003319628,0.025427835,0.9558219,0.00053774257,0.010244744],"study_design_scores_gemma":[0.00009730172,0.00029512687,0.0059491494,0.000058586476,0.000051590483,0.0020662057,0.0013524108,0.025181344,0.039181888,0.9135459,0.012152409,0.00006812607],"about_ca_topic_score_codex":0.0004447406,"about_ca_topic_score_gemma":0.00041229845,"teacher_disagreement_score":0.004049579,"about_ca_system_score_codex":0.0006220793,"about_ca_system_score_gemma":0.00038869478,"threshold_uncertainty_score":0.013547182},"labels":[],"label_agreement":null},{"id":"W2069773303","doi":"10.1016/j.jde.2012.10.003","title":"Canard cycles for predator–prey systems with Holling types of functional response","year":2012,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":112,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Ontario Ministry of Research and Innovation; Natural Sciences and Engineering Research Council of Canada; York University","keywords":"Mathematics; Functional response; Limit cycle; Singular perturbation; Perturbation (astronomy); Limit (mathematics); Predation; Divergence (linguistics); Mathematical analysis; Limiting; Applied mathematics; Predator; Physics","score_opus":0.07078889781295065,"score_gpt":0.3202658551943849,"score_spread":0.24947695738143422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069773303","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7110236,0.0016092359,0.23961847,0.0021407523,0.00031771293,0.00020316074,0.0005048402,0.00032482445,0.044257406],"genre_scores_gemma":[0.9735955,0.000417382,0.009036186,0.00019976955,0.00007439429,0.00013997595,0.0001764467,0.00006491222,0.01629538],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9995307,0.00015017255,0.000033513108,0.00009860868,0.000069350244,0.00011778729],"domain_scores_gemma":[0.9967175,0.0016444575,0.00044869885,0.00023491279,0.00041877612,0.00053565425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016012882,0.0007746927,0.001518644,0.0017172063,0.0015897584,0.0024320462,0.0018874598,0.0024467607,0.009168959],"category_scores_gemma":[0.008111685,0.00061828364,0.0016140776,0.00072570116,0.0021375916,0.002095172,0.001867252,0.0011478136,0.00044706606],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016933685,0.000095328505,0.00372255,0.00017398276,0.00017864486,0.0006232895,0.00050091173,0.109785296,0.0028515353,0.8658117,0.0036710482,0.012416356],"study_design_scores_gemma":[0.000041367668,0.000046778307,0.00191009,0.000022409766,0.00004117284,0.0002693719,0.0001784679,0.6571665,0.0002374962,0.3387728,0.0012454786,0.000068077294],"about_ca_topic_score_codex":0.006733059,"about_ca_topic_score_gemma":0.007037773,"teacher_disagreement_score":0.009168959,"about_ca_system_score_codex":0.0015428014,"about_ca_system_score_gemma":0.0012401184,"threshold_uncertainty_score":0.030673206},"labels":[],"label_agreement":null},{"id":"W2071479141","doi":"10.1142/s0218127407018208","title":"ON THE NUMBER OF LIMIT CYCLES IN NEAR-HAMILTONIAN POLYNOMIAL SYSTEMS","year":2007,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Hamiltonian system; Mathematics; Periodic orbits; Limit cycle; Hamiltonian (control theory); Center (category theory); Polynomial; Limit (mathematics); Mathematical analysis; Pure mathematics; Discrete mathematics; Mathematical optimization","score_opus":0.030373952348659188,"score_gpt":0.3460151514081207,"score_spread":0.31564119905946153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071479141","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95224154,0.00077452086,0.03512705,0.00046103055,0.000032384665,0.000034475863,0.00006776891,0.000063781015,0.0111974515],"genre_scores_gemma":[0.99401903,0.0002551081,0.004279699,0.000023214734,0.000026942716,0.000032016756,0.000050062547,0.000015189007,0.0012988688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996617,0.0000914755,0.000016946364,0.00008262082,0.00009430763,0.00005301689],"domain_scores_gemma":[0.99667823,0.001664403,0.00065797067,0.00018650662,0.0002948914,0.00051804556],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006466429,0.00026969402,0.00063275924,0.0011718057,0.0015563687,0.0011679232,0.0007062942,0.0006741645,0.0031382067],"category_scores_gemma":[0.0057430677,0.00027104243,0.00030746713,0.00046936318,0.002204083,0.0019653721,0.0011864732,0.00066612946,0.00013695106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00042416112,0.00013737704,0.0127412705,0.00027033052,0.00008964017,0.00095525675,0.00097483455,0.11880956,0.019992566,0.8184296,0.0016088068,0.025566595],"study_design_scores_gemma":[0.0000676956,0.00021105737,0.0050786887,0.00005592181,0.00004843628,0.00075595017,0.00042090937,0.5121652,0.008143799,0.46990067,0.003090146,0.00006148789],"about_ca_topic_score_codex":0.00072111486,"about_ca_topic_score_gemma":0.0005455506,"teacher_disagreement_score":0.0031382067,"about_ca_system_score_codex":0.00078959693,"about_ca_system_score_gemma":0.0004263174,"threshold_uncertainty_score":0.010498345},"labels":[],"label_agreement":null},{"id":"W2072754428","doi":"10.1007/s00222-007-0087-5","title":"Intersections of polynomial orbits, and a dynamical Mordell–Lang conjecture","year":2007,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Conjecture; Polynomial; Degree (music); Complex quadratic polynomial; Dynamical systems theory; Nonlinear system","score_opus":0.034426723747934006,"score_gpt":0.32975802509003077,"score_spread":0.2953313013420968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072754428","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7217886,0.002103462,0.081374474,0.013646431,0.0007320221,0.000058098747,0.00057429244,0.0003142185,0.17940839],"genre_scores_gemma":[0.9793625,0.00054468436,0.0059115994,0.00041380536,0.0005767274,0.00004514104,0.00027423995,0.000048333848,0.012823017],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943846,0.00012294356,0.000025982647,0.00014832935,0.00013508143,0.0001291428],"domain_scores_gemma":[0.99811816,0.0009845473,0.00025393016,0.00019507325,0.00018999404,0.0002582687],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012477,0.00047404697,0.00087316305,0.0015713696,0.0046350365,0.0033800786,0.0009786395,0.0016923251,0.0065305973],"category_scores_gemma":[0.0057065836,0.0004932852,0.0010679195,0.0011906067,0.004561365,0.008388033,0.003363996,0.0033295427,0.00039701586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002186301,0.000010236867,0.00020760838,0.000009543448,0.0000026278215,0.000046169414,0.0002042502,0.00036109885,0.00012856579,0.9974669,0.0006043053,0.00093691534],"study_design_scores_gemma":[0.00002037218,0.000008196357,0.00020632234,0.0000051311645,0.0000040606574,0.000049409948,0.00011315531,0.0023865672,0.00012163676,0.9956416,0.0014369445,0.00000666888],"about_ca_topic_score_codex":0.0024426964,"about_ca_topic_score_gemma":0.0015249758,"teacher_disagreement_score":0.0065305973,"about_ca_system_score_codex":0.002134765,"about_ca_system_score_gemma":0.00090129685,"threshold_uncertainty_score":0.02184695},"labels":[],"label_agreement":null},{"id":"W2075534361","doi":"10.4153/cmb-2001-032-9","title":"Une classe d’hamiltoniens polynomiaux isochrones","year":2001,"lang":"fr","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Humanities; Combinatorics; Philosophy","score_opus":0.026348186472222205,"score_gpt":0.27224506456241027,"score_spread":0.24589687809018806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075534361","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75012857,0.0009890196,0.15886818,0.0008401829,0.000082882834,0.00007482457,0.00054475636,0.00039346935,0.088078134],"genre_scores_gemma":[0.9617316,0.00035249602,0.012602552,0.00009736565,0.000045671804,0.000040217532,0.00033548314,0.000048252936,0.02474625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997954,0.000021189142,0.0000068910117,0.000069304,0.00005044152,0.000056827157],"domain_scores_gemma":[0.9997013,0.000083597326,0.000047121674,0.00004119416,0.000075722506,0.00005114239],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023921383,0.00024104449,0.0002973441,0.00051008555,0.00095435244,0.0009907783,0.00035254128,0.00031775679,0.010355996],"category_scores_gemma":[0.0006214778,0.00023265246,0.00033967788,0.0004398985,0.0013577156,0.00089660735,0.0005362659,0.0009204219,0.00058145646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009246749,0.000016754233,0.0025993567,0.000050583225,0.000019511504,0.00024188863,0.00048272722,0.0047333944,0.01062001,0.9623136,0.0016293505,0.01720029],"study_design_scores_gemma":[0.000090982925,0.00013518009,0.011361121,0.000025487547,0.000034857083,0.0008313266,0.00047916,0.049955845,0.0074553755,0.89671016,0.032866098,0.00005434559],"about_ca_topic_score_codex":0.009164179,"about_ca_topic_score_gemma":0.0063430164,"teacher_disagreement_score":0.010355996,"about_ca_system_score_codex":0.0011015534,"about_ca_system_score_gemma":0.0006780997,"threshold_uncertainty_score":0.034644306},"labels":[],"label_agreement":null},{"id":"W2076875425","doi":"10.1115/imece2004-59824","title":"On Uniqueness of Filippov’s Solutions for Non-Smooth Systems Having Multiple Discontinuity Surfaces With Applications to Control Engineering","year":2004,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Discontinuity (linguistics); Uniqueness; Tangent; Mathematics; Differential inclusion; Surface (topology); Mathematical analysis; Geometry","score_opus":0.02405725890238786,"score_gpt":0.27660044840365333,"score_spread":0.2525431895012655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076875425","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10794452,0.0008895428,0.8664885,0.0011410621,0.00009614633,0.00009142101,0.00005032298,0.00007824584,0.02322021],"genre_scores_gemma":[0.912243,0.0010288863,0.07774639,0.00014563731,0.000089942834,0.00022918762,0.00007816217,0.00007816888,0.008360695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912995,0.00030224986,0.000050459897,0.00012082025,0.00027394423,0.00012251965],"domain_scores_gemma":[0.99691486,0.0021051203,0.0003136164,0.00013728901,0.00041289153,0.000116237214],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024340937,0.0008258259,0.0011444248,0.0020044155,0.0015870708,0.0016163174,0.00087155704,0.0017223195,0.0021729511],"category_scores_gemma":[0.009501146,0.00038094146,0.0012588,0.00060236536,0.0047347443,0.0026003455,0.0029656584,0.0021752974,0.000278989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007590384,0.000041435367,0.00085181085,0.0001608505,0.00003391911,0.0003054335,0.0006188598,0.10116094,0.003654088,0.8724457,0.00058695767,0.02006415],"study_design_scores_gemma":[0.000020375031,0.00007520355,0.00038760068,0.00006271632,0.000013884192,0.00016133534,0.00023978778,0.52951944,0.0039591654,0.4633155,0.0021955408,0.000049454913],"about_ca_topic_score_codex":0.0015493347,"about_ca_topic_score_gemma":0.0006572627,"teacher_disagreement_score":0.0024340937,"about_ca_system_score_codex":0.0011332883,"about_ca_system_score_gemma":0.0011163083,"threshold_uncertainty_score":0.012872875},"labels":[],"label_agreement":null},{"id":"W2076949420","doi":"10.1007/s11005-011-0527-4","title":"On Integrability of the Kontsevich Non-Abelian ODE System","year":2011,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"","keywords":"Ode; Complex system; Integrable system; Operator (biology); Laurent series; Algebra over a field","score_opus":0.04563838229141566,"score_gpt":0.27398731430199635,"score_spread":0.2283489320105807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076949420","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7490617,0.0025823703,0.13745634,0.0036553238,0.0004642939,0.00007073883,0.00018425271,0.00019829377,0.10632665],"genre_scores_gemma":[0.98582643,0.00054985075,0.0033267054,0.00018423438,0.00025049207,0.000026226784,0.00008540032,0.000051874733,0.009698855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995272,0.0001314519,0.000022907028,0.00006637731,0.00015208009,0.00010009502],"domain_scores_gemma":[0.9986039,0.00064957986,0.00022536032,0.00010223258,0.00015510281,0.00026387096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008724931,0.0007043922,0.0012293239,0.0015151975,0.0012288082,0.0027434914,0.001049799,0.0013518339,0.0038359168],"category_scores_gemma":[0.0038427648,0.00032623264,0.0009453817,0.00054020924,0.003333317,0.0030308678,0.0022165396,0.0024571444,0.00028587665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059479473,0.00006405617,0.00041499274,0.0000551676,0.000030144194,0.00024859264,0.00026205435,0.007748632,0.0025664887,0.9851136,0.0005863187,0.0028504806],"study_design_scores_gemma":[0.000038989754,0.000036694473,0.000693664,0.000016889802,0.0000125112565,0.00020487742,0.00008185594,0.12254891,0.00042195563,0.8751447,0.0007722125,0.000026666712],"about_ca_topic_score_codex":0.0025370775,"about_ca_topic_score_gemma":0.001242905,"teacher_disagreement_score":0.0038359168,"about_ca_system_score_codex":0.0011590486,"about_ca_system_score_gemma":0.00085208094,"threshold_uncertainty_score":0.012832403},"labels":[],"label_agreement":null},{"id":"W2077011938","doi":"10.1142/s0218127405012533","title":"A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS","year":2005,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":268,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Invariant manifold; Vector field; Manifold (fluid mechanics); Computation; Center manifold; Stable manifold; Invariant (physics); Mathematics; Lorenz system; Pure mathematics; Computer science; Mathematical analysis; Algorithm; Physics; Attractor; Nonlinear system; Geometry; Bifurcation; Mathematical physics; Engineering","score_opus":0.07807128320344263,"score_gpt":0.4275881969745171,"score_spread":0.34951691377107447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077011938","genre_codex":"methods","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0023766784,0.01633638,0.97701025,0.00017973683,0.00012309373,0.00003814979,0.000112212336,0.0006183329,0.0032052163],"genre_scores_gemma":[0.0439994,0.03465095,0.9163132,0.00016979474,0.0004898974,0.00024974855,0.00053858734,0.0005151634,0.003073265],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924636,0.0001838291,0.0000874512,0.0001557019,0.0002881216,0.00003861346],"domain_scores_gemma":[0.9989023,0.00046656004,0.00007762901,0.00024128004,0.000271878,0.000040383857],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009271075,0.0012775365,0.0016891662,0.002768957,0.0007708171,0.0016718673,0.0022008931,0.0010325271,0.0035326],"category_scores_gemma":[0.0031715883,0.00082235894,0.0013022294,0.0039910763,0.0009323539,0.0028247314,0.0013361062,0.0015210594,0.0018824959],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000083357925,0.000106366984,0.0014326483,0.0027094793,0.00017710401,0.000095477866,0.0002653691,0.049372226,0.0053685443,0.17218933,0.008974047,0.75922596],"study_design_scores_gemma":[0.00007299314,0.0001757985,0.0016797183,0.0006254742,0.00010863672,0.0006181604,0.00017141443,0.56490546,0.009383103,0.31808904,0.10401337,0.00015683332],"about_ca_topic_score_codex":0.0015355772,"about_ca_topic_score_gemma":0.0020615777,"teacher_disagreement_score":0.0035326,"about_ca_system_score_codex":0.0005711894,"about_ca_system_score_gemma":0.0007325002,"threshold_uncertainty_score":0.011817694},"labels":[],"label_agreement":null},{"id":"W2078822373","doi":"10.1155/s1048953301000211","title":"Invariant measures for Chebyshev maps","year":2000,"lang":"en","type":"article","venue":"International Journal of Stochastic Analysis","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.03456920502997332,"score_gpt":0.3309341570899149,"score_spread":0.2963649520599416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078822373","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52569187,0.0011143677,0.4347845,0.0008263067,0.00013341891,0.00007865863,0.00037080966,0.00035988292,0.036640204],"genre_scores_gemma":[0.97111166,0.0007210129,0.014989598,0.0001413394,0.00021367396,0.000101222,0.00023544318,0.00011090229,0.012375202],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990108,0.00021236103,0.000032809865,0.00018243973,0.00032341253,0.00023809426],"domain_scores_gemma":[0.9958222,0.0021181854,0.0005067545,0.00031313288,0.0005947649,0.0006449626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001630343,0.0007436437,0.00079484546,0.0031231379,0.0015193122,0.0025921874,0.0010978616,0.0010077908,0.006007638],"category_scores_gemma":[0.008592795,0.00049111503,0.0008024758,0.0012900967,0.0033428608,0.0028231363,0.0015457049,0.0017733789,0.00071627914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018652032,0.000014202471,0.0003102,0.000012016019,0.0000072555245,0.000032909815,0.00010435513,0.0048215557,0.0008988548,0.99084455,0.00026869905,0.0026666818],"study_design_scores_gemma":[0.000016050097,0.000034252844,0.0008913669,0.00001579361,0.000007095963,0.00009167289,0.00006965372,0.099418856,0.0011878704,0.89690673,0.0013317589,0.000029064247],"about_ca_topic_score_codex":0.0033780844,"about_ca_topic_score_gemma":0.0013712759,"teacher_disagreement_score":0.006007638,"about_ca_system_score_codex":0.0030204828,"about_ca_system_score_gemma":0.0010265572,"threshold_uncertainty_score":0.021915197},"labels":[],"label_agreement":null},{"id":"W2079569562","doi":"10.3934/dcds.2013.33.3915","title":"Piecewise linear perturbations of a linear center","year":2013,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":154,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Piecewise linear function; Perturbation (astronomy); Upper and lower bounds; Monotone polygon; Singular perturbation; Mathematics; Mathematical analysis; Sigma; Annulus (botany); Center (category theory); Physics; Geometry","score_opus":0.01686417291648531,"score_gpt":0.27330078944076786,"score_spread":0.25643661652428257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079569562","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83384347,0.00053162046,0.14674573,0.00021560476,0.000053052263,0.000044753462,0.000077420395,0.00031606093,0.018172298],"genre_scores_gemma":[0.99170107,0.0001226966,0.005080521,0.000018493809,0.000011763242,0.000016680013,0.000025118523,0.000019151581,0.0030044864],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998461,0.000022696371,0.000006673504,0.0000269757,0.000054306114,0.000043144886],"domain_scores_gemma":[0.9996432,0.00009628125,0.00009684733,0.00005081641,0.00004919681,0.000063642394],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001711415,0.0004640854,0.00032409487,0.0005119936,0.00050246506,0.0006559054,0.00039263009,0.00040476053,0.0026373244],"category_scores_gemma":[0.00094649155,0.00021778121,0.00031034145,0.0002240777,0.0007645196,0.00073638675,0.0011369556,0.00057576987,0.00022140014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00073533464,0.00017399454,0.0037791461,0.00022901763,0.000098394376,0.0014774204,0.00060259755,0.41385016,0.26637352,0.27097693,0.0013691364,0.04033434],"study_design_scores_gemma":[0.00003317829,0.00030734413,0.0020098402,0.000022137538,0.000029032326,0.00033359168,0.00019404631,0.8975466,0.03825974,0.058018923,0.003210529,0.000034959543],"about_ca_topic_score_codex":0.0009277544,"about_ca_topic_score_gemma":0.00051634904,"teacher_disagreement_score":0.0026373244,"about_ca_system_score_codex":0.00071962515,"about_ca_system_score_gemma":0.00025726337,"threshold_uncertainty_score":0.008822739},"labels":[],"label_agreement":null},{"id":"W2081879691","doi":"10.1142/s0218127405012582","title":"CLOSED-FORM CONDITIONS OF BIFURCATION POINTS FOR GENERAL DIFFERENTIAL EQUATIONS","year":2005,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":90,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Jacobian matrix and determinant; Mathematics; Hopf bifurcation; Eigenvalues and eigenvectors; Differential equation; Differential (mechanical device); Bifurcation; Mathematical analysis; Applied mathematics; Nonlinear system; Physics","score_opus":0.03673676040150029,"score_gpt":0.3636167298257075,"score_spread":0.32687996942420716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081879691","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11057039,0.0014836226,0.84613085,0.00047479817,0.00019441835,0.00017582065,0.0003215744,0.00045394237,0.040194668],"genre_scores_gemma":[0.90824175,0.001295329,0.08239117,0.0001465796,0.00021388312,0.00037754077,0.000387907,0.00019985574,0.0067460295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953556,0.00010127228,0.00003829267,0.000094505136,0.00016977829,0.000060697832],"domain_scores_gemma":[0.9979697,0.0009971039,0.0002445113,0.00007403531,0.000638772,0.0000759121],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001209421,0.0009871963,0.0009567027,0.0027100346,0.00081032555,0.0018889048,0.0008373516,0.0012141446,0.009042463],"category_scores_gemma":[0.008283376,0.00039694906,0.00066112226,0.00059917883,0.0012602828,0.0021992058,0.0010658741,0.0013957887,0.0013781866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000878694,0.000074676194,0.0011585401,0.00031355352,0.00002801108,0.00079326436,0.000678165,0.05763328,0.014263584,0.8838983,0.0040173987,0.03705333],"study_design_scores_gemma":[0.00006900614,0.00007797808,0.00063801097,0.00015374747,0.000019403156,0.00053435116,0.0002366435,0.42319408,0.005534903,0.56445444,0.005022643,0.0000648129],"about_ca_topic_score_codex":0.00071620545,"about_ca_topic_score_gemma":0.0008498957,"teacher_disagreement_score":0.009042463,"about_ca_system_score_codex":0.0008092368,"about_ca_system_score_gemma":0.00069275394,"threshold_uncertainty_score":0.030250072},"labels":[],"label_agreement":null},{"id":"W2082055506","doi":"10.1007/s11784-010-0031-y","title":"Global classification of the planar Lotka–Volterra differential systems according to their configurations of invariant straight lines","year":2010,"lang":"en","type":"article","venue":"Journal of Fixed Point Theory and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Subvariety; Mathematics; Invariant (physics); Affine transformation; Gröbner basis; Pure mathematics; Quadratic differential; Gravitational singularity; Multiplicity (mathematics); Algebraic number; Polynomial; Discrete mathematics; Quadratic equation; Topology (electrical circuits); Mathematical analysis; Combinatorics; Geometry","score_opus":0.02524410283057112,"score_gpt":0.2964609306889149,"score_spread":0.2712168278583438,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082055506","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87159866,0.00047664493,0.10059768,0.00040799822,0.0000844307,0.000064741624,0.00036447516,0.00022958108,0.026175769],"genre_scores_gemma":[0.986265,0.00023769969,0.007343102,0.000062646934,0.00007349652,0.000051297295,0.0005258361,0.00005093461,0.0053899814],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998215,0.00002856788,0.000012367728,0.000044646342,0.00004573008,0.000047210426],"domain_scores_gemma":[0.9992976,0.00014395868,0.00022418461,0.000051405732,0.00014889943,0.0001338818],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021476546,0.00042998348,0.0005158743,0.002116937,0.0008499855,0.002064407,0.00066930073,0.00068739214,0.005383227],"category_scores_gemma":[0.001052189,0.00033651636,0.0005584885,0.0007931001,0.0014879466,0.0012771842,0.00082221325,0.0009138836,0.0005472111],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016150673,0.000048602196,0.0039572874,0.00006934735,0.000038920305,0.00026524527,0.00044139847,0.014988017,0.009351195,0.94716674,0.0015267597,0.02198509],"study_design_scores_gemma":[0.00009587706,0.00017308077,0.0078802835,0.000050603514,0.00004891101,0.0005815141,0.00065003755,0.14272414,0.0036230292,0.8385052,0.0055997847,0.000067480585],"about_ca_topic_score_codex":0.00052423595,"about_ca_topic_score_gemma":0.00036377888,"teacher_disagreement_score":0.005383227,"about_ca_system_score_codex":0.0006680055,"about_ca_system_score_gemma":0.00033021034,"threshold_uncertainty_score":0.01800865},"labels":[],"label_agreement":null},{"id":"W2082236754","doi":"10.1016/j.jalgebra.2006.12.005","title":"On polynomials in three variables annihilated by two locally nilpotent derivations","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Algebraically closed field; Locally nilpotent; Zero (linguistics); Nilpotent; Polynomial; Field (mathematics); Ring (chemistry); Polynomial ring; Combinatorics; Pure mathematics; Discrete mathematics; Nilpotent group; Mathematical analysis","score_opus":0.01644020380411958,"score_gpt":0.27867972865265406,"score_spread":0.26223952484853447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082236754","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8563346,0.00070255424,0.07490326,0.0014098951,0.00074024283,0.000072509734,0.00015850576,0.00018349345,0.06549491],"genre_scores_gemma":[0.97762644,0.00044103307,0.005819025,0.00018735684,0.00031228267,0.000021650598,0.00008539328,0.00009775162,0.015409098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991604,0.00019128511,0.000030516143,0.0001060841,0.00019961403,0.00031211565],"domain_scores_gemma":[0.9987612,0.00041374558,0.00025352207,0.000097510005,0.0001855428,0.00028857143],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00091516593,0.001423067,0.001364827,0.0020084956,0.00315822,0.002818887,0.0015668336,0.0015106429,0.005019414],"category_scores_gemma":[0.0021819575,0.00052949105,0.00103584,0.0020099175,0.0061997464,0.0037938897,0.0029051683,0.0026535743,0.0009264364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011457093,0.000038568603,0.00017028386,0.000037952406,0.000010313635,0.00072510506,0.0005616059,0.0018283712,0.0025191763,0.99050355,0.00041500202,0.0030754923],"study_design_scores_gemma":[0.00004033442,0.000049515005,0.0003200741,0.000014395924,0.000015274525,0.00035565754,0.00018602947,0.006300226,0.0013717889,0.98991174,0.0013956369,0.000039334864],"about_ca_topic_score_codex":0.0015242579,"about_ca_topic_score_gemma":0.0013581857,"teacher_disagreement_score":0.005019414,"about_ca_system_score_codex":0.0015887015,"about_ca_system_score_gemma":0.0013299526,"threshold_uncertainty_score":0.016791642},"labels":[],"label_agreement":null},{"id":"W2082412309","doi":"10.3934/dcds.2007.17.529","title":"3-dimensional Hopf bifurcation via averaging theory","year":2007,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Hopf bifurcation; Limit (mathematics); Bifurcation; Physics; Attractor; Lorenz system; Singular point of a curve; Invariant (physics); Infinite-period bifurcation; Bifurcation theory; Pitchfork bifurcation; Combinatorics; Mathematical analysis; Mathematics; Mathematical physics; Quantum mechanics; Nonlinear system","score_opus":0.011719744949288761,"score_gpt":0.27620880444069273,"score_spread":0.264489059491404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082412309","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5074166,0.0013335856,0.42196795,0.0006888138,0.00014188417,0.000079371515,0.00021962379,0.00039936756,0.06775275],"genre_scores_gemma":[0.9852835,0.00033441582,0.010100998,0.00007477562,0.000058713664,0.000040014584,0.000071686285,0.000021485446,0.0040145116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998858,0.00003022794,0.0000066402795,0.000014693126,0.000039572667,0.000023069922],"domain_scores_gemma":[0.99988306,0.00003097498,0.000030472116,0.00000918652,0.000024208752,0.000022025028],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034257388,0.00032387525,0.00041765187,0.0008467811,0.0005025585,0.00063173607,0.0004145518,0.00045404662,0.0016166129],"category_scores_gemma":[0.0005655869,0.00011954931,0.0007082215,0.00037480975,0.00054233434,0.00068249734,0.0008230049,0.00033243818,0.00018606604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002494415,0.000024715619,0.001138862,0.000059835736,0.000051361425,0.00022544524,0.0001634138,0.22292715,0.0065313987,0.75787497,0.00075427425,0.010223669],"study_design_scores_gemma":[0.0000063089346,0.000012250898,0.0004533084,0.0000068291224,0.000009862413,0.000040328483,0.000019664883,0.75987494,0.0004992035,0.238124,0.0009378478,0.000015435216],"about_ca_topic_score_codex":0.0035008427,"about_ca_topic_score_gemma":0.0018514566,"teacher_disagreement_score":0.0035008427,"about_ca_system_score_codex":0.00094451156,"about_ca_system_score_gemma":0.00038790557,"threshold_uncertainty_score":0.0069609284},"labels":[],"label_agreement":null},{"id":"W2084558804","doi":"10.1016/s0022-460x(02)00954-9","title":"A perturbation method for computing the simplest normal forms of dynamical systems","year":2003,"lang":"en","type":"article","venue":"Journal of Sound and Vibration","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Symbolic computation; Eigenvalues and eigenvectors; Jacobian matrix and determinant; Mathematics; Singularity; Gravitational singularity; Center manifold; Computation; Algebra over a field; Applied mathematics; Mathematical analysis; Pure mathematics; Hopf bifurcation; Algorithm","score_opus":0.03807066927894565,"score_gpt":0.3395424715689077,"score_spread":0.30147180228996207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084558804","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012969474,0.00016104992,0.9836565,0.000118250246,0.00010328518,0.0000379787,0.000032981905,0.00036981425,0.0025505992],"genre_scores_gemma":[0.32303655,0.0004922525,0.6686159,0.0001320553,0.00016588264,0.00016573322,0.00014452543,0.0004729258,0.0067741717],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995565,0.00018362136,0.000020193005,0.00005013609,0.00015643066,0.00003316221],"domain_scores_gemma":[0.99895823,0.0006025151,0.00004857847,0.00014680202,0.00015815347,0.00008565689],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008733036,0.000671251,0.00082584476,0.0014645451,0.0007777776,0.0010173473,0.0012655878,0.00081419636,0.0030948604],"category_scores_gemma":[0.0040405905,0.00056930474,0.0006855505,0.0009477075,0.0010970372,0.0021863752,0.0016333092,0.0019404108,0.0008364652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037534992,0.00016642659,0.00088005373,0.00027922995,0.00011323474,0.00023968617,0.000272232,0.27901983,0.020043584,0.4727788,0.0048253834,0.2210061],"study_design_scores_gemma":[0.000017383749,0.000027432245,0.00008428632,0.000008026057,0.000009573092,0.00003712411,0.000015417532,0.86553895,0.0014784806,0.13124059,0.0015258652,0.000016842834],"about_ca_topic_score_codex":0.0009597199,"about_ca_topic_score_gemma":0.0012788787,"teacher_disagreement_score":0.0030948604,"about_ca_system_score_codex":0.00040611307,"about_ca_system_score_gemma":0.00055490684,"threshold_uncertainty_score":0.010353327},"labels":[],"label_agreement":null},{"id":"W2085163933","doi":"10.1016/j.jalgebra.2005.07.004","title":"Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"University of Manitoba","keywords":"Subalgebra; Mathematics; Pure mathematics; Universal enveloping algebra; Algebra representation; Non-associative algebra; Cellular algebra; Structure constants; Lie conformal algebra; Associative algebra; Free probability; Division algebra; Quadratic algebra; Unipotent; Symmetric algebra; Algebra over a field","score_opus":0.040629017735837346,"score_gpt":0.299404141181435,"score_spread":0.25877512344559767,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085163933","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8362324,0.0017449291,0.10001845,0.00085942296,0.00042702665,0.0001192637,0.00038215352,0.00042183817,0.05979443],"genre_scores_gemma":[0.9765842,0.0008286315,0.008888749,0.00015065109,0.00039585316,0.00006586644,0.0002202263,0.00011641413,0.012749363],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998917,0.00016868436,0.00009863474,0.00023096053,0.00033658027,0.00024815506],"domain_scores_gemma":[0.9972609,0.0010515829,0.0005973444,0.00023032403,0.00031074724,0.0005489932],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024796957,0.0013663755,0.001042173,0.00795882,0.0029366754,0.006446474,0.0022434336,0.0016646137,0.00799329],"category_scores_gemma":[0.0054763467,0.0011032646,0.0009027064,0.00467995,0.004980438,0.012230578,0.0025211112,0.0033577606,0.0010264154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005543517,0.00004266916,0.00036536113,0.000024598878,0.000012427171,0.00007549874,0.00054045225,0.00037196995,0.0015284503,0.9922639,0.00031559917,0.0044036224],"study_design_scores_gemma":[0.000038078462,0.00003435463,0.0006290726,0.000012762524,0.000021581962,0.00015537828,0.00018406827,0.0020355,0.0013896396,0.99424285,0.0012204432,0.000036215715],"about_ca_topic_score_codex":0.00090697734,"about_ca_topic_score_gemma":0.001158601,"teacher_disagreement_score":0.00799329,"about_ca_system_score_codex":0.0024173593,"about_ca_system_score_gemma":0.0011587567,"threshold_uncertainty_score":0.026740193},"labels":[],"label_agreement":null},{"id":"W2085197107","doi":"10.1007/bf02969335","title":"On the geometric structure of the class of planar quadratic differential systems","year":2002,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Planar; Class (philosophy); Quadratic differential; Quadratic equation; Differential (mechanical device); Pure mathematics; Mathematical analysis; Geometry; Computer science; Physics; Artificial intelligence","score_opus":0.057458515638976686,"score_gpt":0.32021503891290654,"score_spread":0.26275652327392984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085197107","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63612056,0.0019355025,0.2253948,0.0037194937,0.00019625119,0.00009134156,0.0005633058,0.00016465786,0.13181403],"genre_scores_gemma":[0.9810204,0.0007318564,0.008102658,0.00019630502,0.0002115922,0.000032597687,0.0002361407,0.000034347177,0.009434221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973184,0.000046170615,0.000007809085,0.00004997712,0.00011457477,0.00004956588],"domain_scores_gemma":[0.9993104,0.00023827881,0.00014356757,0.000045111396,0.0001599083,0.000102844504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004108824,0.00033347265,0.0004914611,0.001581964,0.0012519343,0.0019016739,0.00072553824,0.00062917726,0.0055886367],"category_scores_gemma":[0.0017063032,0.00026037206,0.00039609498,0.00093497144,0.0025039348,0.0026926284,0.0014973889,0.0012269615,0.0003119388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004988448,0.000004024525,0.00013386157,0.000013171404,0.0000019821564,0.000015542502,0.000073927564,0.001948097,0.00032464473,0.99502254,0.00037694932,0.0020803364],"study_design_scores_gemma":[0.0000075112694,0.000012551784,0.0004064271,0.000006107714,0.0000025187112,0.000051907944,0.00007634974,0.013211933,0.00012244562,0.9834132,0.0026810332,0.000007957099],"about_ca_topic_score_codex":0.0019566799,"about_ca_topic_score_gemma":0.00086835155,"teacher_disagreement_score":0.0055886367,"about_ca_system_score_codex":0.0012470619,"about_ca_system_score_gemma":0.00045661678,"threshold_uncertainty_score":0.01869589},"labels":[],"label_agreement":null},{"id":"W2085949571","doi":"10.4153/cmb-2009-025-9","title":"Equations and Complexity for the Dubois–Efroymson Dimension Theorem","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Codimension; Algebraically closed field; Degree (music); Dimension (graph theory); Polynomial; Combinatorics; Algebraic number; Irreducible polynomial; Irreducible component; Field (mathematics); Integer (computer science); Algebraic closure; Discrete mathematics; Pure mathematics; Mathematical analysis; Ordinary differential equation; Differential equation; Matrix polynomial","score_opus":0.06659871534064002,"score_gpt":0.30218731296856055,"score_spread":0.23558859762792053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085949571","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71543854,0.0026249348,0.08452008,0.005999466,0.00023253934,0.00009199114,0.0012181704,0.00014427795,0.18973],"genre_scores_gemma":[0.9869366,0.0003749582,0.0073690396,0.00021039289,0.00017880401,0.000052097894,0.00022537359,0.000016295427,0.0046363333],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99907506,0.00020328656,0.000060436047,0.00019561271,0.0002810276,0.00018456625],"domain_scores_gemma":[0.997531,0.001486362,0.0002742769,0.00022281379,0.00023761942,0.00024802162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011738423,0.0002791492,0.0006223865,0.001824572,0.0013549183,0.002550819,0.0006248477,0.0006714973,0.0050352653],"category_scores_gemma":[0.0033822914,0.00026382023,0.0007747828,0.0010432628,0.0034762728,0.004591732,0.0029519307,0.001526816,0.00032727525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019799398,0.000007798673,0.0008611891,0.000022731163,0.0000057975444,0.000029981198,0.00010633911,0.00094395014,0.00022900743,0.99490875,0.0009829523,0.0018817034],"study_design_scores_gemma":[0.000025500494,0.0000112100615,0.001468138,0.000014136102,0.000006899525,0.000082108985,0.000057302346,0.009600479,0.00029828696,0.98286796,0.0055520968,0.000015839083],"about_ca_topic_score_codex":0.0016718842,"about_ca_topic_score_gemma":0.0010101537,"teacher_disagreement_score":0.0050352653,"about_ca_system_score_codex":0.0024172626,"about_ca_system_score_gemma":0.0005792224,"threshold_uncertainty_score":0.017538548},"labels":[],"label_agreement":null},{"id":"W2086508425","doi":"10.1016/j.jalgebra.2011.09.032","title":"Complete intersection surfaces with trivial Makar-Limanov invariant","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hypersurface; Fibration; Complete intersection; Invariant (physics); Pure mathematics; Affine transformation; Affine space; Homotopy; Mathematical physics","score_opus":0.07876856869365752,"score_gpt":0.277026227102863,"score_spread":0.1982576584092055,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086508425","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7407458,0.0007585173,0.04191977,0.0021533135,0.00053669163,0.00009721997,0.0007110334,0.0007301477,0.21234752],"genre_scores_gemma":[0.97097105,0.00025548687,0.0050607272,0.00019907358,0.00024268035,0.00005543463,0.0005520748,0.00017282375,0.022490727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917334,0.000084613086,0.000037644928,0.00015914021,0.0003095954,0.00023568615],"domain_scores_gemma":[0.9993376,0.00014176911,0.00013738898,0.000080537066,0.0001282525,0.00017440609],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005592854,0.0012089164,0.0015617105,0.0054153996,0.0047596633,0.0060335565,0.001691072,0.0023377312,0.010122593],"category_scores_gemma":[0.0017961798,0.0009605908,0.0012004108,0.0020137047,0.003530878,0.006679487,0.004546919,0.003867524,0.0016710382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004729856,0.000022354894,0.0002686503,0.000021446602,0.000011500117,0.0001701619,0.00019627697,0.00040078993,0.00073146087,0.9953412,0.0009002346,0.0018887082],"study_design_scores_gemma":[0.000046018424,0.000034612225,0.0009216614,0.000020400093,0.000027255861,0.0007447928,0.0004424418,0.0037729149,0.0013468673,0.9877029,0.0049061533,0.00003387983],"about_ca_topic_score_codex":0.0011866604,"about_ca_topic_score_gemma":0.00065307977,"teacher_disagreement_score":0.010122593,"about_ca_system_score_codex":0.0018052756,"about_ca_system_score_gemma":0.0008322729,"threshold_uncertainty_score":0.033863485},"labels":[],"label_agreement":null},{"id":"W2086840144","doi":"10.1023/b:cele.0000043569.25307.ab","title":"Central Configurations of the Planar Coorbitalsatellite Problem","year":2004,"lang":"en","type":"article","venue":"Celestial Mechanics and Dynamical Astronomy","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Planar; Infinitesimal; Symmetry (geometry); Physics; Three-body problem; Geometry; Mathematics; Classical mechanics; Mathematical analysis; Computer science","score_opus":0.014368317944845613,"score_gpt":0.24019341168833025,"score_spread":0.22582509374348464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086840144","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7047724,0.00068610505,0.105646215,0.0053558704,0.00040740226,0.00007653945,0.0006869342,0.00024931552,0.18211913],"genre_scores_gemma":[0.9642822,0.00020012827,0.011163259,0.00028892493,0.00020154138,0.000083392304,0.0005540203,0.00013615828,0.023090499],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996848,0.00009295248,0.0000096803205,0.00004725618,0.00007461908,0.0000907319],"domain_scores_gemma":[0.9993125,0.00020423954,0.00010119678,0.00005628347,0.000112241745,0.00021361174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057843345,0.0005382059,0.0008931881,0.0011406341,0.0021287024,0.0036753663,0.0012193274,0.0019362109,0.014475186],"category_scores_gemma":[0.002608817,0.00036000353,0.00040509156,0.000579264,0.0024673997,0.0028913484,0.003068791,0.0025132082,0.0011911336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010270241,0.000023698767,0.00015203495,0.000020189407,0.0000059260424,0.0000663533,0.000052861174,0.003749917,0.00034922033,0.9916408,0.0018341383,0.0020022036],"study_design_scores_gemma":[0.00006168303,0.000016705375,0.0001727373,0.000010209493,0.0000038995468,0.00006288048,0.00012166588,0.025602864,0.00021638237,0.9722186,0.0015006798,0.000011731705],"about_ca_topic_score_codex":0.0014827746,"about_ca_topic_score_gemma":0.0014829279,"teacher_disagreement_score":0.014475186,"about_ca_system_score_codex":0.0010645782,"about_ca_system_score_gemma":0.0009192449,"threshold_uncertainty_score":0.048424363},"labels":[],"label_agreement":null},{"id":"W2087288593","doi":"10.1023/b:lima.0000009688.42121.b9","title":"Some Remarks on a Paper of Ramachandra","year":2003,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Multiplicative function; Omega; Mathematics; Number theory; Combinatorics; Ordinary differential equation; Mathematical analysis; Differential equation; Physics; Quantum mechanics","score_opus":0.02773304844172502,"score_gpt":0.3028699369720713,"score_spread":0.2751368885303463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087288593","genre_codex":"commentary","genre_gemma":"commentary","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"commentary","genre_consensus":"commentary","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0042238217,0.05177188,0.002406016,0.75962484,0.107534416,0.000028679131,0.0005527049,0.00014479543,0.07371286],"genre_scores_gemma":[0.12336342,0.049094733,0.0033813934,0.53727597,0.17218086,0.00013906334,0.00065076107,0.00048556956,0.11342831],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99722844,0.0011385876,0.00018023611,0.00046055464,0.0006201082,0.0003720931],"domain_scores_gemma":[0.99281186,0.0038959607,0.00050612295,0.0003792897,0.0019093368,0.0004974157],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003947778,0.0011271703,0.0011914904,0.0029871645,0.0062749875,0.006534233,0.0025887094,0.0076166345,0.01743434],"category_scores_gemma":[0.013868207,0.00030015758,0.001878285,0.0042905784,0.003767441,0.007977622,0.003326291,0.007607076,0.0050717606],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014896943,0.000041328592,0.00044453325,0.0003515555,0.000059817085,0.0010127211,0.0016034361,0.00019852375,0.00021700429,0.15663841,0.831353,0.0079307705],"study_design_scores_gemma":[0.000042259886,0.000025579511,0.0010711193,0.0005035805,0.000045718763,0.0002936138,0.0010984963,0.00023184248,0.00033493873,0.066093706,0.9301882,0.00007098586],"about_ca_topic_score_codex":0.0098718265,"about_ca_topic_score_gemma":0.006285251,"teacher_disagreement_score":0.01743434,"about_ca_system_score_codex":0.0036408165,"about_ca_system_score_gemma":0.0014197303,"threshold_uncertainty_score":0.05832362},"labels":[],"label_agreement":null},{"id":"W2088665395","doi":"10.4171/jems/121","title":"Degree estimate for subalgebras generated by two elements","year":2008,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Science and Technology of China; Centre de Recherches Mathématiques","keywords":"Mathematics; Degree (music); Conjecture; Polynomial; Zero (linguistics); Associative property; Field (mathematics); Associative algebra; Pure mathematics; Algebra over a field; Combinatorics; Division algebra; Algebra representation; Mathematical analysis","score_opus":0.07869595659952178,"score_gpt":0.3324807323495498,"score_spread":0.253784775750028,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088665395","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36858374,0.0012875688,0.5587427,0.0026484735,0.00040170274,0.00010265887,0.00043522907,0.00034075102,0.067457125],"genre_scores_gemma":[0.9382288,0.0006561348,0.045962576,0.00033621676,0.0006145972,0.00011343087,0.00041329645,0.00019061934,0.013484329],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821043,0.00037636617,0.00008686473,0.00037848673,0.000597574,0.00035031472],"domain_scores_gemma":[0.99559313,0.0019095123,0.00033987148,0.00066601,0.0006540778,0.00083735416],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020262944,0.00085011317,0.0008664911,0.003107754,0.0014627359,0.0020030674,0.0017880762,0.00078362395,0.0063436804],"category_scores_gemma":[0.00540468,0.00042167396,0.0014809305,0.0009361767,0.0032484776,0.0075255814,0.0051843342,0.0040171575,0.0014288424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000665555,0.000029932187,0.0013461009,0.0000817372,0.000017989902,0.00013328153,0.0004752968,0.0028453765,0.006298651,0.98107105,0.0011404057,0.0064935023],"study_design_scores_gemma":[0.000011239556,0.000040853458,0.0009014011,0.000020735613,0.000021790172,0.00019696401,0.00010147515,0.028023634,0.0057599153,0.96055156,0.004330721,0.000039790877],"about_ca_topic_score_codex":0.00069516053,"about_ca_topic_score_gemma":0.00055103505,"teacher_disagreement_score":0.0063436804,"about_ca_system_score_codex":0.0010695134,"about_ca_system_score_gemma":0.00044646984,"threshold_uncertainty_score":0.021221757},"labels":[],"label_agreement":null},{"id":"W2090645465","doi":"10.1016/j.crma.2004.12.001","title":"Équations aux différences dans les vecteurs de Witt","year":2005,"lang":"fr","type":"article","venue":"Comptes Rendus Mathématique","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.049070959072321944,"score_gpt":0.3265311419364866,"score_spread":0.27746018286416463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090645465","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5181103,0.0030557746,0.37757245,0.0023493608,0.0009767076,0.00010731858,0.00045973164,0.00023189349,0.0971365],"genre_scores_gemma":[0.85784966,0.0025687267,0.059411928,0.0004230682,0.00066696387,0.0001296064,0.00042666233,0.0001424249,0.07838102],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950135,0.00010631753,0.000020194626,0.00009166447,0.00020186474,0.00007871089],"domain_scores_gemma":[0.9995776,0.000121858306,0.00008382199,0.000039957416,0.00010784646,0.00006894811],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075978565,0.00062454917,0.00050180743,0.0011539025,0.0005623938,0.0017255545,0.00072112936,0.00087137514,0.0037195347],"category_scores_gemma":[0.0027488754,0.0002757375,0.0011069003,0.0009927063,0.0021534336,0.0032028288,0.0013194015,0.0027031088,0.0010002733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025859104,0.000015215447,0.0002975001,0.000043725784,0.0000125761035,0.000111133544,0.00029571666,0.004554201,0.004139981,0.9824128,0.00073684496,0.007354346],"study_design_scores_gemma":[0.00003905714,0.00006130083,0.0008476966,0.000029020819,0.000012021449,0.00062789343,0.00014910263,0.04621958,0.004117243,0.9386316,0.009228926,0.000036495156],"about_ca_topic_score_codex":0.0025321108,"about_ca_topic_score_gemma":0.002064458,"teacher_disagreement_score":0.0037195347,"about_ca_system_score_codex":0.0012338837,"about_ca_system_score_gemma":0.00069224444,"threshold_uncertainty_score":0.012443125},"labels":[],"label_agreement":null},{"id":"W2090774386","doi":"10.1063/1.4768704","title":"Central configurations and homographic solutions for the quasihomogeneous N-body problem","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Ministry of Advanced Education; University of Victoria","keywords":"Connection (principal bundle); Mathematics; Focus (optics); Mathematical analysis; Pure mathematics; Applied mathematics; Physics; Geometry","score_opus":0.05775293184430022,"score_gpt":0.3125606954418699,"score_spread":0.2548077635975696,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090774386","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6631072,0.0003953652,0.3000923,0.0020676705,0.00014103112,0.00009832038,0.000121412115,0.00008784909,0.033888787],"genre_scores_gemma":[0.9532014,0.00023477491,0.032906014,0.0002152048,0.000075850505,0.00012690485,0.00011128747,0.00004428809,0.01308422],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997571,0.000075770295,0.00000909492,0.000045396388,0.000048796614,0.00006388663],"domain_scores_gemma":[0.9993882,0.00020225579,0.0001451463,0.00004022979,0.00006718102,0.00015703324],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084023696,0.0005698688,0.00043912846,0.0008820162,0.0011705585,0.0011388612,0.00085140695,0.0014517357,0.004284276],"category_scores_gemma":[0.0024662637,0.00038694363,0.0005321707,0.0003485102,0.0027396127,0.0017235571,0.002824788,0.0013942649,0.00026811374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005559335,0.000055786513,0.0005511421,0.00005238584,0.00001698353,0.00024735753,0.00019898133,0.040255453,0.0017576218,0.9508441,0.00095937867,0.0050052847],"study_design_scores_gemma":[0.00006495767,0.00006168583,0.0006198875,0.00003104392,0.0000067001783,0.00016747268,0.00039303684,0.25596187,0.0007259708,0.7408276,0.0011115248,0.000028264682],"about_ca_topic_score_codex":0.0009556919,"about_ca_topic_score_gemma":0.0011184254,"teacher_disagreement_score":0.004284276,"about_ca_system_score_codex":0.0006894912,"about_ca_system_score_gemma":0.00081006496,"threshold_uncertainty_score":0.014332294},"labels":[],"label_agreement":null},{"id":"W2090971091","doi":"10.1088/0951-7715/27/7/1611","title":"The moment finiteness problem and characterization of universal centres of ordinary differential equations with analytic coefficients","year":2014,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Characterization (materials science); Ordinary differential equation; Neighbourhood (mathematics); Moment (physics); Mathematical analysis; Differential equation; Pure mathematics; Applied mathematics","score_opus":0.018034762122319924,"score_gpt":0.26369218252915566,"score_spread":0.24565742040683575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090971091","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41082022,0.0016752149,0.56105053,0.0012330574,0.00011995243,0.00007324417,0.00023693753,0.0002707712,0.024520038],"genre_scores_gemma":[0.97315264,0.0004604246,0.021967312,0.00009165439,0.00015480853,0.00006385079,0.00012112164,0.00008823433,0.0039000171],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993568,0.00018729772,0.00003398227,0.000109659086,0.00015474058,0.0001575936],"domain_scores_gemma":[0.99575657,0.0021814879,0.0006318692,0.00034911843,0.00048247128,0.00059840665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016159281,0.0006542029,0.0011972653,0.002074474,0.0009936562,0.0017043906,0.0017878857,0.00094151916,0.0029535014],"category_scores_gemma":[0.009747949,0.00035604398,0.0012954047,0.00059243717,0.0036488166,0.0033450364,0.0037527995,0.0021350475,0.0002690453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047181275,0.00001381989,0.00043052447,0.000076957025,0.000017097575,0.00010976075,0.0002651724,0.005133988,0.0031369284,0.9875715,0.00040417272,0.002793017],"study_design_scores_gemma":[0.000023365947,0.000048876922,0.00062279846,0.00003399317,0.000024019218,0.00019584883,0.00017865481,0.075012796,0.003535123,0.91823775,0.0020457087,0.000041014697],"about_ca_topic_score_codex":0.0011062067,"about_ca_topic_score_gemma":0.000594619,"teacher_disagreement_score":0.0029535014,"about_ca_system_score_codex":0.0012396093,"about_ca_system_score_gemma":0.000617967,"threshold_uncertainty_score":0.009880424},"labels":[],"label_agreement":null},{"id":"W2091235853","doi":"10.1090/s1056-3911-05-00406-6","title":"Correction to: “Regular differentials and equidimensional scheme-maps”","year":2005,"lang":"en","type":"article","venue":"Journal of Algebraic Geometry","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Scheme (mathematics); Sign (mathematics); Principal (computer security); Arithmetic; Mathematical analysis; Computer science","score_opus":0.020312071537859234,"score_gpt":0.30067706517999154,"score_spread":0.2803649936421323,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091235853","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00024581482,0.0008909949,0.002119117,0.056700442,0.9371985,0.000016718612,0.00044596507,0.00058781705,0.0017946564],"genre_scores_gemma":[0.039060507,0.0066217934,0.010173664,0.10805733,0.6748393,0.0002557115,0.0020635559,0.0019004286,0.15702769],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99384636,0.0011699258,0.0009774951,0.00091513625,0.0022569068,0.00083404436],"domain_scores_gemma":[0.9697308,0.005367827,0.0014932168,0.0026179892,0.01902796,0.0017622681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004081269,0.0031140253,0.00316973,0.004179661,0.00469077,0.0041085966,0.004900394,0.008100498,0.045344137],"category_scores_gemma":[0.056524374,0.0014139769,0.0025706224,0.0032591948,0.004317383,0.0052666795,0.0031597444,0.011215017,0.024550946],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056342877,0.000010916097,0.000057852652,0.0001746116,0.00002290585,0.00019520374,0.000040393938,0.00007114111,0.000093447525,0.003805078,0.9912949,0.004177152],"study_design_scores_gemma":[0.0000891104,0.00004376121,0.0009194942,0.00017821511,0.00006357923,0.0007971812,0.00009096532,0.0009826643,0.0008974291,0.009461043,0.9863963,0.000080078804],"about_ca_topic_score_codex":0.008417681,"about_ca_topic_score_gemma":0.010689325,"teacher_disagreement_score":0.045344137,"about_ca_system_score_codex":0.005383265,"about_ca_system_score_gemma":0.0042621307,"threshold_uncertainty_score":0.15169126},"labels":[],"label_agreement":null},{"id":"W2093171343","doi":"10.3934/dcds.2002.8.55","title":"On the dynamics of a class of quadratic polynomial automorphisms of $\\mathbb C^3$","year":2002,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Automorphism; Quadratic equation; Mathematics; Class (philosophy); Polynomial; Quadratic function; Dynamics (music); Pure mathematics; Automorphisms of the symmetric and alternating groups; Combinatorics; Discrete mathematics; Mathematical analysis; Physics; Computer science; Geometry","score_opus":0.02195491408473884,"score_gpt":0.2504269023060528,"score_spread":0.22847198822131395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093171343","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94614214,0.00020812373,0.029239513,0.0004996837,0.00008600953,0.000053579974,0.00009969339,0.0001063496,0.023564914],"genre_scores_gemma":[0.9878896,0.00019460665,0.0048850076,0.000059370355,0.00006558019,0.000034014578,0.00011701877,0.000031732357,0.006723086],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997762,0.000024128058,0.000006920561,0.000042055006,0.000052741652,0.00009795357],"domain_scores_gemma":[0.9993781,0.00016476263,0.00012221138,0.00007121895,0.00008486788,0.00017885446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028112024,0.00033581644,0.0003761904,0.0010160718,0.0017979215,0.0013891706,0.0004312922,0.0005982561,0.0028227712],"category_scores_gemma":[0.0011801478,0.00018263336,0.0006948092,0.0005167713,0.0019718045,0.0023020608,0.0011418136,0.0012608658,0.00028748543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000133818,0.00006469516,0.0025362382,0.000033694898,0.000013130314,0.0003406365,0.0014734518,0.007710652,0.008022495,0.96504074,0.0013640614,0.013266462],"study_design_scores_gemma":[0.00007562694,0.000156504,0.004952256,0.000020186952,0.000017947199,0.000376431,0.000721777,0.08074425,0.0060847746,0.8921644,0.014612221,0.000073698546],"about_ca_topic_score_codex":0.0027613095,"about_ca_topic_score_gemma":0.0015877427,"teacher_disagreement_score":0.0028227712,"about_ca_system_score_codex":0.001581244,"about_ca_system_score_gemma":0.00040074438,"threshold_uncertainty_score":0.011472702},"labels":[],"label_agreement":null},{"id":"W2093867243","doi":"10.1007/s12346-010-0028-3","title":"Bifurcation Diagrams and Moduli Spaces of Planar Quadratic Vector Fields with Invariant Lines of Total Multiplicity Four and Having Exactly Three Real Singularities at Infinity","year":2010,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Moduli space; Mathematics; Gravitational singularity; Phase portrait; Invariant (physics); Multiplicity (mathematics); Homogeneous space; Combinatorics; Pure mathematics; Mathematical physics; Mathematical analysis; Physics; Bifurcation; Geometry","score_opus":0.05058741802103888,"score_gpt":0.3199052573443824,"score_spread":0.2693178393233435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093867243","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96857643,0.0002172714,0.015596491,0.00023120084,0.000039080758,0.000021983178,0.000051098385,0.00008532685,0.015181253],"genre_scores_gemma":[0.9918001,0.0001266387,0.0036550362,0.000037830072,0.000032915832,0.000030908737,0.00007727122,0.000026680851,0.004212626],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99985456,0.000023202381,0.000010558507,0.00002853408,0.0000439976,0.000039036295],"domain_scores_gemma":[0.9998338,0.000025706566,0.000060853854,0.000013124934,0.000021359796,0.000045113375],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022806853,0.00045353035,0.00031114696,0.001956419,0.00080555066,0.0014940546,0.00038222194,0.0006824606,0.003151388],"category_scores_gemma":[0.00060300436,0.0002195044,0.00048765418,0.00051858067,0.0012137416,0.0015925742,0.00078625156,0.00070471986,0.00026531098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009437884,0.0000659235,0.0015149657,0.000047217352,0.000024658704,0.00061942125,0.0006360249,0.010475688,0.019077456,0.95899856,0.00039299284,0.008052608],"study_design_scores_gemma":[0.00012546708,0.00016579134,0.0048352433,0.000057203135,0.00004084558,0.00089968066,0.0007405443,0.11357377,0.010676125,0.863652,0.005151038,0.00008233466],"about_ca_topic_score_codex":0.00057001,"about_ca_topic_score_gemma":0.000383493,"teacher_disagreement_score":0.003151388,"about_ca_system_score_codex":0.0010388518,"about_ca_system_score_gemma":0.00030390522,"threshold_uncertainty_score":0.010542452},"labels":[],"label_agreement":null},{"id":"W2094167518","doi":"10.1142/s0218127407017252","title":"LOCAL AND GLOBAL BIFURCATIONS TO LIMIT CYCLES IN A CLASS OF LIÉNARD EQUATION","year":2007,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Limit (mathematics); Limit cycle; Liénard equation; Infinite-period bifurcation; Saddle point; Polynomial; Degree (music); Mathematical analysis; Function (biology); Saddle; Bifurcation; Phase space; Fixed point; Hopf bifurcation; Physics; Geometry; Differential equation; Nonlinear system; Mathematical optimization; Quantum mechanics","score_opus":0.04008030774284951,"score_gpt":0.3613236109413685,"score_spread":0.321243303198519,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094167518","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93507046,0.00071674597,0.053986914,0.00032505282,0.00003053551,0.000039704497,0.000028489108,0.0000637271,0.009738416],"genre_scores_gemma":[0.993501,0.00023179204,0.004155466,0.00004196705,0.000021679729,0.000035527213,0.000032806263,0.000017682703,0.0019620198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99987566,0.000033998163,0.0000060489638,0.00002437521,0.000031300868,0.000028532178],"domain_scores_gemma":[0.9997503,0.000072025374,0.00006485477,0.000018036299,0.0000358202,0.00005894415],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030280417,0.00035236805,0.0006418769,0.00086708576,0.0010560885,0.0008663686,0.0004672679,0.00086049555,0.0011636551],"category_scores_gemma":[0.0011744692,0.00027877575,0.00064146897,0.00030965137,0.0014039536,0.0010124728,0.0009591047,0.00053298724,0.00011039401],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014868607,0.00017053005,0.019060008,0.00019201865,0.0002050945,0.0026892002,0.0017570081,0.41822106,0.018969065,0.5170356,0.0022635306,0.01928821],"study_design_scores_gemma":[0.000035022887,0.00006544159,0.0024352702,0.00001545218,0.000025142052,0.00037587495,0.00024087951,0.86977124,0.0011828304,0.12403174,0.0017932865,0.000027846707],"about_ca_topic_score_codex":0.0031031144,"about_ca_topic_score_gemma":0.0016140805,"teacher_disagreement_score":0.0031031144,"about_ca_system_score_codex":0.0007037974,"about_ca_system_score_gemma":0.00043007816,"threshold_uncertainty_score":0.006170094},"labels":[],"label_agreement":null},{"id":"W2095532129","doi":"10.1006/jsco.2000.0387","title":"Generic Extensions and Generic Polynomials","year":2000,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Algebra over a field; Field (mathematics); Pure mathematics; Discrete mathematics","score_opus":0.04472600271828662,"score_gpt":0.3167375862524572,"score_spread":0.27201158353417054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095532129","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39125583,0.0052362275,0.21798539,0.011943839,0.0016165558,0.00010083187,0.00067419535,0.0006146468,0.37057248],"genre_scores_gemma":[0.9592243,0.001672477,0.013921594,0.0006642422,0.0010852648,0.00005415328,0.00030114793,0.00010220065,0.022974694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989544,0.00024531735,0.000058471996,0.00028308816,0.00023389803,0.00022479364],"domain_scores_gemma":[0.9981914,0.00073772663,0.0002367691,0.0003255895,0.0002466305,0.00026183616],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016406516,0.0009809331,0.001493485,0.0025454052,0.0034519716,0.0038249216,0.0010952845,0.0017551933,0.0070834244],"category_scores_gemma":[0.0044940836,0.0006745729,0.0014332604,0.002692677,0.0068490203,0.010776055,0.0043437947,0.005751223,0.0007738881],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006951003,0.0000043739783,0.000028415223,0.0000059185454,0.000001833326,0.000020563915,0.00007920724,0.00009922287,0.000049380258,0.99866056,0.0002481581,0.0007953872],"study_design_scores_gemma":[0.000005592341,0.000002817471,0.000035469857,0.000003243452,0.000002894569,0.000040113846,0.00002710772,0.00040591322,0.000038455928,0.9977689,0.0016655239,0.0000040364453],"about_ca_topic_score_codex":0.000859332,"about_ca_topic_score_gemma":0.0007479549,"teacher_disagreement_score":0.0070834244,"about_ca_system_score_codex":0.0017476119,"about_ca_system_score_gemma":0.0007364282,"threshold_uncertainty_score":0.023696363},"labels":[],"label_agreement":null},{"id":"W2096571350","doi":"10.1142/s0218127410027209","title":"EXISTENCE CONDITIONS OF THIRTEEN LIMIT CYCLES IN A CUBIC SYSTEM","year":2010,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Limit (mathematics); Cubic crystal system; Cubic function; Limit cycle; Mathematics; Cubic form; Mathematical analysis; Physics; Condensed matter physics","score_opus":0.025804449648920327,"score_gpt":0.34729218239162324,"score_spread":0.3214877327427029,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096571350","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93410283,0.000342957,0.044459067,0.00024752613,0.00003188896,0.00007891254,0.00015075902,0.00013552581,0.020450419],"genre_scores_gemma":[0.9895124,0.00009553345,0.008733215,0.000022296736,0.000009136557,0.00005028041,0.00012072794,0.000018248675,0.0014383243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997063,0.00003693868,0.000032060885,0.000054152533,0.000075800854,0.000094702285],"domain_scores_gemma":[0.9991505,0.00017802049,0.0001618388,0.00006273368,0.00025355365,0.00019326908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033183402,0.00023543688,0.0005303467,0.0010078077,0.002145302,0.0010275283,0.00051367,0.00061290356,0.0040352517],"category_scores_gemma":[0.0017487977,0.00030992483,0.0005302694,0.00046970372,0.0013807847,0.0011131263,0.0012471089,0.0006724185,0.00026164093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00052592857,0.00014043372,0.021099899,0.0005733863,0.00009977938,0.0040613413,0.0031413916,0.0639591,0.06479566,0.8043701,0.0033561266,0.033876773],"study_design_scores_gemma":[0.00022833714,0.00032651715,0.011240097,0.00015541598,0.00010741261,0.0019927404,0.0026274866,0.41229355,0.036280032,0.51779133,0.016705662,0.00025133547],"about_ca_topic_score_codex":0.0032014681,"about_ca_topic_score_gemma":0.002958793,"teacher_disagreement_score":0.0040352517,"about_ca_system_score_codex":0.0010244465,"about_ca_system_score_gemma":0.0015934911,"threshold_uncertainty_score":0.01349932},"labels":[],"label_agreement":null},{"id":"W2102398650","doi":"10.1016/j.jalgebra.2007.10.037","title":"Affine surfaces with trivial Makar-Limanov invariant","year":2007,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Polynomial ring; Zero (linguistics); Invariant (physics); Affine transformation; Finitely-generated abelian group; Field (mathematics); Combinatorics; Degree (music); Polynomial; Pure mathematics; Discrete mathematics; Mathematical analysis; Mathematical physics; Physics","score_opus":0.04708365874058963,"score_gpt":0.3219814518397607,"score_spread":0.27489779309917106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102398650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80620444,0.0007681848,0.03272515,0.0019804614,0.00092937367,0.00010472414,0.00043656744,0.0006421096,0.15620895],"genre_scores_gemma":[0.9657896,0.00027362243,0.0040015415,0.00027562733,0.00053187716,0.000041679188,0.00032980784,0.00013090455,0.028625237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995622,0.00005575989,0.00002286106,0.00009810647,0.00015947415,0.000101613296],"domain_scores_gemma":[0.9995732,0.00007034297,0.000099601035,0.00005473177,0.00007741911,0.00012467736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038844845,0.00112247,0.0010876174,0.0035465152,0.0023734719,0.0036163467,0.0010720663,0.0015972636,0.007503199],"category_scores_gemma":[0.0012355178,0.0005649043,0.00077928544,0.0012257338,0.0023156141,0.0033110804,0.0022094767,0.0021522748,0.0011926555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006328765,0.00003043434,0.00031166134,0.000020481111,0.000011759036,0.00023824429,0.00014084512,0.00073934795,0.0019070134,0.992265,0.0011009262,0.0031711196],"study_design_scores_gemma":[0.0000542541,0.000058217865,0.0013275597,0.000012796319,0.000021883603,0.0007126726,0.0002505669,0.006917777,0.001360868,0.9838148,0.0054406147,0.000027939896],"about_ca_topic_score_codex":0.0008043472,"about_ca_topic_score_gemma":0.0005723649,"teacher_disagreement_score":0.007503199,"about_ca_system_score_codex":0.0011690798,"about_ca_system_score_gemma":0.0005627445,"threshold_uncertainty_score":0.025100768},"labels":[],"label_agreement":null},{"id":"W2102413579","doi":"10.4064/aa102-4-6","title":"The genera representing a positive integer","year":2002,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Integer (computer science); Combinatorics; Discrete mathematics; Computer science","score_opus":0.05188986403763801,"score_gpt":0.3015290036975978,"score_spread":0.24963913965995976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102413579","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38684437,0.0020530953,0.09140912,0.004977988,0.003494488,0.00015477349,0.0005545866,0.00083866273,0.5096729],"genre_scores_gemma":[0.90199196,0.0018564368,0.025080372,0.00087958307,0.0014370629,0.00026593258,0.00032306588,0.00038924356,0.06777646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931824,0.00015789396,0.000038762013,0.00013199441,0.00015018361,0.00020289961],"domain_scores_gemma":[0.99904066,0.0003335328,0.00017773562,0.00013860677,0.00016232506,0.0001471145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078754814,0.0014588619,0.00095177494,0.0041353265,0.003958478,0.0046199937,0.0012041149,0.0018603491,0.008370612],"category_scores_gemma":[0.0031558073,0.0005549396,0.0009375598,0.0023534815,0.004769807,0.005369631,0.002256986,0.0036765346,0.001963238],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036263733,0.0000076412525,0.00008683047,0.000024406345,0.000004168669,0.00010394695,0.0003172588,0.00014254714,0.00088338094,0.9899204,0.001402877,0.0070702094],"study_design_scores_gemma":[0.000015911444,0.000028591698,0.00018479169,0.000039256865,0.00001642674,0.00033185838,0.00021639492,0.0008538702,0.0008931167,0.9804335,0.016964199,0.000021978452],"about_ca_topic_score_codex":0.00030660708,"about_ca_topic_score_gemma":0.00035333872,"teacher_disagreement_score":0.008370612,"about_ca_system_score_codex":0.0011147998,"about_ca_system_score_gemma":0.000571627,"threshold_uncertainty_score":0.0280025},"labels":[],"label_agreement":null},{"id":"W2103282672","doi":"10.1016/j.jmaa.2005.08.068","title":"Analysis on limit cycles of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mi>Z</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:math>-equivariant polynomial vector fields with degree 3 or 4","year":2005,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland; Western University","funders":"","keywords":"Limit (mathematics); Mathematics; Equivariant map; Limit cycle; Order (exchange); Central limit theorem; Combinatorics; Mathematical physics; Pure mathematics; Mathematical analysis; Statistics","score_opus":0.02766165073034902,"score_gpt":0.27367651064190074,"score_spread":0.24601485991155173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2103282672","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.663004,0.0026267725,0.18412592,0.0022916265,0.0002601259,0.00013058739,0.00048043093,0.00041013627,0.14667048],"genre_scores_gemma":[0.94007313,0.0008015646,0.009528257,0.00017482245,0.00016154823,0.00008738643,0.00029411132,0.00025579822,0.048623383],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965453,0.00006108434,0.000015863703,0.00007842958,0.000090349575,0.00009982253],"domain_scores_gemma":[0.99886596,0.00028305987,0.00017393849,0.0000738191,0.00030034882,0.00030293092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063547556,0.0007094087,0.0005870753,0.0030178132,0.0018926995,0.0022313655,0.0010498421,0.0007879865,0.012335763],"category_scores_gemma":[0.003079482,0.00037268762,0.0008271147,0.0010593054,0.0021348058,0.0036573417,0.0016784541,0.0014887815,0.0012368602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002710181,0.000020979336,0.00054419093,0.000031411735,0.000008585018,0.00011902766,0.00024703474,0.0016425543,0.00064331235,0.99077046,0.0013554156,0.004589798],"study_design_scores_gemma":[0.000008511333,0.000017007485,0.0004095475,0.000021876396,0.000008572878,0.00012339643,0.00012651473,0.015401918,0.00090053247,0.97936136,0.0036072142,0.00001350872],"about_ca_topic_score_codex":0.0024423248,"about_ca_topic_score_gemma":0.002065199,"teacher_disagreement_score":0.012335763,"about_ca_system_score_codex":0.0019780037,"about_ca_system_score_gemma":0.0009518856,"threshold_uncertainty_score":0.041267276},"labels":[],"label_agreement":null},{"id":"W2105923827","doi":"10.1016/j.cam.2004.11.033","title":"Dynamics in numerics: on two different finite difference schemes for ODEs","year":2005,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Ode; Ordinary differential equation; Dynamical systems theory; Nonlinear system; Stability (learning theory); Scheme (mathematics); Applied mathematics; Mathematical analysis; Finite difference; Euler's formula; Backward Euler method; Euler method; Dynamical system (definition); Differential equation; Euler equations","score_opus":0.0300808361207067,"score_gpt":0.3137786498822168,"score_spread":0.2836978137615101,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105923827","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.042468518,0.0018035783,0.9389371,0.0014801143,0.001093995,0.00013964194,0.000075043354,0.0002573648,0.013744637],"genre_scores_gemma":[0.47126216,0.0019131722,0.50888234,0.0008283004,0.00037147754,0.00034520664,0.00016923009,0.0006003746,0.015627712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99904996,0.00038020808,0.00008593985,0.00009649015,0.00032931517,0.000058050686],"domain_scores_gemma":[0.99796486,0.0009431682,0.00012695196,0.00041094556,0.00038328275,0.00017077436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017889778,0.0006661869,0.00084622897,0.0008257378,0.00095121615,0.0019237212,0.001671214,0.0017829558,0.0028990626],"category_scores_gemma":[0.0075165904,0.0005023834,0.0008631871,0.0005896296,0.0025298921,0.0034317968,0.004091154,0.002108935,0.0005702442],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004063036,0.00024592344,0.0013683088,0.00038646115,0.00007076154,0.00014569882,0.00082234794,0.12873141,0.013098853,0.7398927,0.0023328327,0.112498306],"study_design_scores_gemma":[0.00006755326,0.00010884782,0.00032738523,0.00006560637,0.000020828524,0.00006113506,0.000074764015,0.8977674,0.0032325124,0.09067234,0.007555292,0.00004636071],"about_ca_topic_score_codex":0.0023231714,"about_ca_topic_score_gemma":0.0020076758,"teacher_disagreement_score":0.0028990626,"about_ca_system_score_codex":0.0010808263,"about_ca_system_score_gemma":0.0009170234,"threshold_uncertainty_score":0.009698272},"labels":[],"label_agreement":null},{"id":"W2107889385","doi":"10.1007/978-0-387-48807-3_64","title":"The Jacobian Elliptic Functions","year":2008,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Trent University","funders":"","keywords":"Jacobian matrix and determinant; Elliptic function; Mathematics; Computer science; Applied mathematics; Mathematical analysis","score_opus":0.05414926628127583,"score_gpt":0.275771908538502,"score_spread":0.22162264225722614,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107889385","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004553606,0.0072398707,0.032983415,0.0019959875,0.00139355,0.000022978646,0.00009529218,0.00011201553,0.95160335],"genre_scores_gemma":[0.14024428,0.010493998,0.017834077,0.0010318233,0.0021016428,0.00009117265,0.000212878,0.00030488567,0.82768524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979335,0.00004793182,0.000008458936,0.00003851283,0.00009064047,0.000021111664],"domain_scores_gemma":[0.99984026,0.000039332743,0.0000120177365,0.00003908703,0.000052329822,0.00001696257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004051076,0.00075914804,0.00045610018,0.0015126863,0.0009519014,0.0023377023,0.00049200625,0.0009464068,0.010591235],"category_scores_gemma":[0.0009873892,0.00032119823,0.00032879328,0.0009525887,0.0024606967,0.0031651305,0.0010974219,0.0029989677,0.004224162],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000018647032,0.0000031561615,0.000010101133,0.000012562637,9.431526e-7,0.000009642669,0.00007249403,0.00012385972,0.00015658532,0.9807658,0.0072392235,0.011603731],"study_design_scores_gemma":[0.0000025754757,0.0000049925043,0.000098290155,0.000025790507,0.0000024461394,0.00008853782,0.00005823404,0.0007946984,0.00031118683,0.78167605,0.21693105,0.0000061408036],"about_ca_topic_score_codex":0.0008883965,"about_ca_topic_score_gemma":0.00072168245,"teacher_disagreement_score":0.010591235,"about_ca_system_score_codex":0.0013405291,"about_ca_system_score_gemma":0.00065917225,"threshold_uncertainty_score":0.035431206},"labels":[],"label_agreement":null},{"id":"W2109170463","doi":"10.1016/j.cnsns.2012.08.027","title":"Bifurcation of limit cycles in 3rd-order Hamiltonian planar vector fields with 3rd-order perturbations","year":2012,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Vector field; Homoclinic orbit; Perturbation (astronomy); Mathematics; Hamiltonian (control theory); Planar; Hamiltonian system; Mathematical analysis; Heteroclinic cycle; Solenoidal vector field; Homoclinic bifurcation; Bifurcation; Mathematical physics; Physics; Geometry; Quantum mechanics; Nonlinear system","score_opus":0.06741862150185267,"score_gpt":0.36717741660385883,"score_spread":0.29975879510200615,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109170463","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.943727,0.00029074433,0.030567843,0.00048650758,0.00008559638,0.000051895055,0.000045194265,0.00015694251,0.024588315],"genre_scores_gemma":[0.9936475,0.00008613557,0.003050584,0.000056949568,0.000027732302,0.000027540642,0.000035756057,0.0000320982,0.0030357018],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998859,0.000033031713,0.0000066077346,0.000012404695,0.000031181207,0.000030791995],"domain_scores_gemma":[0.9996544,0.00006676658,0.00008243094,0.00003925117,0.0000519538,0.0001051389],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003162635,0.00037295007,0.00047136802,0.0012312287,0.00092825573,0.001449348,0.00056258816,0.0009558303,0.002619026],"category_scores_gemma":[0.0014136261,0.00028729637,0.00054346654,0.00040147893,0.0014274244,0.0011489732,0.0011550934,0.0006355724,0.00025646522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029235997,0.0001435509,0.0022803277,0.000107622065,0.0000773427,0.0009819241,0.00078521017,0.106021926,0.029913688,0.8464435,0.0016465532,0.011305986],"study_design_scores_gemma":[0.00004459729,0.000083597835,0.0026055553,0.000026506563,0.000017322709,0.00032849298,0.00023972722,0.5841595,0.0042268955,0.40693858,0.0012871426,0.000042068197],"about_ca_topic_score_codex":0.0010552664,"about_ca_topic_score_gemma":0.0008055373,"teacher_disagreement_score":0.002619026,"about_ca_system_score_codex":0.001012219,"about_ca_system_score_gemma":0.00048337405,"threshold_uncertainty_score":0.008761525},"labels":[],"label_agreement":null},{"id":"W2110183694","doi":"10.1016/j.bulsci.2007.05.002","title":"Formal paths, iterated integrals and the center problem for ordinary differential equations","year":2007,"lang":"en","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Ordinary differential equation; Center (category theory); Iterated function; Mathematics; Integrating factor; Differential equation; Mathematical analysis; Applied mathematics; Collocation method","score_opus":0.052404175310574085,"score_gpt":0.33708944655065537,"score_spread":0.2846852712400813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2110183694","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.537292,0.0057780384,0.35572582,0.007788522,0.0007147677,0.00007122354,0.00023976565,0.00031165022,0.09207826],"genre_scores_gemma":[0.93827707,0.0024779227,0.02910745,0.00035220216,0.0005615398,0.00006535895,0.00016268842,0.00016414683,0.02883166],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995927,0.00012805349,0.000024311046,0.00006863824,0.00011655412,0.000069724134],"domain_scores_gemma":[0.99798054,0.0010388326,0.00028884018,0.00012781953,0.00027520664,0.0002887705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001742797,0.0008309658,0.0012200634,0.0023685114,0.0017499746,0.0038057577,0.0013001096,0.0017894171,0.0047619296],"category_scores_gemma":[0.0056326524,0.0004649659,0.0009846982,0.0015227137,0.0037598207,0.009060889,0.002309637,0.002531304,0.00028945683],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000067889837,0.000007988856,0.000051865016,0.000009081182,0.0000036116448,0.000021182024,0.00004676435,0.0005220626,0.00008570175,0.9980965,0.00024347077,0.00090500317],"study_design_scores_gemma":[0.000009125492,0.000003672714,0.000044927827,0.000004045086,0.0000026625194,0.000026009277,0.000026176946,0.005087115,0.00004910252,0.99428976,0.00045298456,0.0000045275],"about_ca_topic_score_codex":0.0018228065,"about_ca_topic_score_gemma":0.0011560984,"teacher_disagreement_score":0.0047619296,"about_ca_system_score_codex":0.0020312876,"about_ca_system_score_gemma":0.00170506,"threshold_uncertainty_score":0.015930235},"labels":[],"label_agreement":null},{"id":"W2111378006","doi":"10.1142/s1793042114500377","title":"Computations with Witt vectors and the Greenberg transform","year":2014,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Centre de Recherches Mathématiques","keywords":"Witt vector; Computation; Mathematics; Polynomial; Algebra over a field; Pure mathematics; Algorithm; Mathematical analysis","score_opus":0.010708349796614424,"score_gpt":0.2894111766300658,"score_spread":0.2787028268334514,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2111378006","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37665352,0.0010753928,0.54069644,0.0009937026,0.00044540927,0.000080472295,0.00033309206,0.00093431474,0.07878765],"genre_scores_gemma":[0.9319431,0.0006672315,0.055819064,0.00015346076,0.00024207965,0.000058111083,0.000247553,0.00034995688,0.010519443],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928516,0.00013965186,0.00004366485,0.00012503339,0.00023653085,0.00016988524],"domain_scores_gemma":[0.9993705,0.00021453432,0.000082659084,0.00014694962,0.00010263179,0.00008280395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009324481,0.0006417194,0.0006625784,0.0017642615,0.0008479301,0.0021201507,0.0010548332,0.00047912338,0.008118014],"category_scores_gemma":[0.0032295345,0.00028528585,0.00065785676,0.0014076527,0.002473763,0.00801171,0.0019350012,0.0016410375,0.0018292756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040345763,0.000013660536,0.00021786412,0.00003591491,0.0000058800706,0.00008419509,0.00016823261,0.0020000432,0.001202812,0.9854488,0.00058303546,0.010199272],"study_design_scores_gemma":[0.000015826421,0.00004285953,0.00018466514,0.00002269719,0.000010920704,0.0001383945,0.000115255956,0.010497418,0.005178433,0.97961926,0.0041473554,0.00002699088],"about_ca_topic_score_codex":0.00042494436,"about_ca_topic_score_gemma":0.00043244407,"teacher_disagreement_score":0.008118014,"about_ca_system_score_codex":0.00080692675,"about_ca_system_score_gemma":0.00047411566,"threshold_uncertainty_score":0.027157426},"labels":[],"label_agreement":null},{"id":"W2113034974","doi":"10.1006/jdeq.2001.4017","title":"Finite Cyclicity of Graphics with a Nilpotent Singularity of Saddle or Elliptic Type","year":2002,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Montréal","keywords":"Mathematics; Codimension; Nilpotent; Pure mathematics; Mathematical analysis; Multiplicity (mathematics); Saddle point; Saddle; Vector field; Type (biology); Geometry","score_opus":0.09272912064658635,"score_gpt":0.30862084218920255,"score_spread":0.2158917215426162,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113034974","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9066839,0.00024096124,0.05045812,0.000540485,0.00019113465,0.00006718613,0.0001507654,0.00047221515,0.041195285],"genre_scores_gemma":[0.9848793,0.00009322194,0.006140008,0.00015353585,0.0000831239,0.000029677463,0.00013497568,0.00014424375,0.00834181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951744,0.00008927672,0.000028049468,0.00009886161,0.00010983424,0.0001565611],"domain_scores_gemma":[0.9980661,0.0005495313,0.000357549,0.0002813745,0.0002823936,0.00046315175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004199014,0.0005320634,0.00068851915,0.0022577979,0.0017978315,0.003004387,0.00083780417,0.0011644386,0.007972454],"category_scores_gemma":[0.004012139,0.0004880662,0.00068737054,0.0010502732,0.0026647723,0.0027258988,0.0023194938,0.0011318281,0.00062711694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015251256,0.000028978156,0.001185279,0.000034930134,0.000010781028,0.00055247504,0.0006264764,0.0018484642,0.005715222,0.98163396,0.0012535122,0.006957332],"study_design_scores_gemma":[0.000034965655,0.000056528206,0.0006470649,0.000021510143,0.000015635565,0.00034857533,0.0002906396,0.009436722,0.0029341388,0.9824991,0.0036836439,0.00003147439],"about_ca_topic_score_codex":0.00096836477,"about_ca_topic_score_gemma":0.000875635,"teacher_disagreement_score":0.007972454,"about_ca_system_score_codex":0.00093856576,"about_ca_system_score_gemma":0.00056587195,"threshold_uncertainty_score":0.026670516},"labels":[],"label_agreement":null},{"id":"W2113910464","doi":"10.1016/j.chaos.2005.03.009","title":"Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions","year":2005,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hopf bifurcation; Mathematics; Saddle-node bifurcation; Controller (irrigation); Control theory (sociology); Bifurcation diagram; Polynomial; Dimension (graph theory); Period-doubling bifurcation; Bifurcation; Applied mathematics; Mathematical analysis; Pure mathematics; Control (management); Computer science; Nonlinear system; Physics","score_opus":0.037783211437915055,"score_gpt":0.3210835131405614,"score_spread":0.2833003017026463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113910464","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8038345,0.000175527,0.18644878,0.00016863727,0.000056517663,0.00003547037,0.000022111159,0.00012794876,0.009130414],"genre_scores_gemma":[0.99061346,0.00011582083,0.007779752,0.000011517905,0.000016709775,0.00000943637,0.00000677803,0.000013826494,0.0014327833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999007,0.000028243863,0.0000054587117,0.000017198832,0.000024832636,0.000023564446],"domain_scores_gemma":[0.99941015,0.00033962654,0.00007459302,0.000047464928,0.00006212252,0.00006607939],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038612544,0.00029879765,0.00023449931,0.00047801124,0.0004176425,0.0008006991,0.00037269152,0.0003047408,0.000953469],"category_scores_gemma":[0.0015020745,0.00015318552,0.00032596555,0.0002510393,0.0010670277,0.00078890123,0.00047325031,0.00049229263,0.000102210244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000612149,0.00022519671,0.0018483925,0.00012012868,0.00003952725,0.00030354655,0.0005872367,0.19363965,0.16281967,0.5885165,0.00043712056,0.05085092],"study_design_scores_gemma":[0.000056259294,0.00015558701,0.000688531,0.00000735078,0.000029091843,0.00010805313,0.00009570531,0.8812568,0.025807029,0.09086038,0.0009052262,0.000029958548],"about_ca_topic_score_codex":0.00088144996,"about_ca_topic_score_gemma":0.00058548216,"teacher_disagreement_score":0.000953469,"about_ca_system_score_codex":0.0004953872,"about_ca_system_score_gemma":0.00030676468,"threshold_uncertainty_score":0.003594339},"labels":[],"label_agreement":null},{"id":"W2114979209","doi":"10.1007/978-1-4614-1891-7_2","title":"Basic IFS Theory","year":2011,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Acadia University; University of Guelph","funders":"","keywords":"Mathematics; Computer science; Mathematical economics","score_opus":0.0714881228698682,"score_gpt":0.2831140328649885,"score_spread":0.21162590999512026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114979209","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0017557528,0.0036455705,0.0303434,0.0014172822,0.0006823565,0.000022835424,0.00032140446,0.00022407515,0.9615872],"genre_scores_gemma":[0.10989752,0.010027814,0.028106079,0.0013789475,0.002162663,0.00018745771,0.0015292041,0.000549541,0.84616077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997272,0.000045220077,0.00001376874,0.000052369785,0.00011581231,0.00004551984],"domain_scores_gemma":[0.99986637,0.000033233096,0.000007583558,0.000028425991,0.00005243285,0.000011940286],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034506185,0.0008742923,0.0008039775,0.0017755395,0.0015007728,0.0025874882,0.0008599726,0.000881691,0.043392137],"category_scores_gemma":[0.00059124635,0.000358041,0.0006532117,0.0014871568,0.0021103122,0.0038478042,0.0009949366,0.0022564975,0.018942052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000027774563,0.000007165022,0.000021920578,0.000040424686,0.0000022134839,0.000012659644,0.00007950218,0.0001620297,0.00011720809,0.96234554,0.01988825,0.017320465],"study_design_scores_gemma":[0.0000020546956,0.0000034473462,0.00006365066,0.00003800896,0.0000027445615,0.000050315284,0.000038118473,0.00042752663,0.00013433119,0.84126246,0.15797283,0.0000045563597],"about_ca_topic_score_codex":0.0011584813,"about_ca_topic_score_gemma":0.0012320206,"teacher_disagreement_score":0.043392137,"about_ca_system_score_codex":0.0016722239,"about_ca_system_score_gemma":0.00077930815,"threshold_uncertainty_score":0.14516121},"labels":[],"label_agreement":null},{"id":"W2119299479","doi":"10.1142/s0218127406016070","title":"BIFURCATION OF LIMIT CYCLES IN Z<sub>10</sub>-EQUIVARIANT VECTOR FIELDS OF DEGREE 9","year":2006,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Equivariant map; Mathematics; Vector field; Planar; Hamiltonian (control theory); Hamiltonian system; Bifurcation; Degree (music); Polynomial; Mathematical analysis; Limit cycle; Limit (mathematics); Bifurcation theory; Mathematical physics; Pure mathematics; Physics; Geometry; Quantum mechanics; Mathematical optimization; Computer science; Nonlinear system","score_opus":0.03965960772953822,"score_gpt":0.30822967207468605,"score_spread":0.26857006434514785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119299479","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9652888,0.00012647583,0.027254563,0.00014402908,0.000015370517,0.000024548901,0.000024663745,0.00002831366,0.0070932177],"genre_scores_gemma":[0.9946544,0.00007576541,0.0037399998,0.000015471813,0.0000071858653,0.000015895886,0.00002459872,0.0000072369153,0.0014594267],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99992216,0.000018047727,0.0000046118334,0.000013299643,0.000017879056,0.000023957333],"domain_scores_gemma":[0.99987054,0.000028944778,0.00004253621,0.000011131846,0.000015754422,0.000031088595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018387607,0.000194773,0.00020908813,0.00039161672,0.000535658,0.00059850764,0.0002481009,0.00035411245,0.0016186552],"category_scores_gemma":[0.0005415693,0.0001289829,0.0003009094,0.00013600884,0.0007914896,0.0007696786,0.00054233486,0.00031373277,0.0001190557],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021604482,0.00006961138,0.0030946862,0.0001142713,0.000043524895,0.00071443,0.0004418595,0.07213035,0.04290922,0.8602322,0.00073721213,0.019296663],"study_design_scores_gemma":[0.000076004806,0.00022267844,0.0033961663,0.00002205299,0.000023696526,0.00053257804,0.00046680725,0.45654854,0.02023951,0.5153801,0.0030479496,0.000043918877],"about_ca_topic_score_codex":0.0005597459,"about_ca_topic_score_gemma":0.00033621528,"teacher_disagreement_score":0.0016186552,"about_ca_system_score_codex":0.0004945931,"about_ca_system_score_gemma":0.0003068115,"threshold_uncertainty_score":0.005414963},"labels":[],"label_agreement":null},{"id":"W2119318373","doi":"10.1109/cdc.2009.5400693","title":"A necessary condition for path-finding by the homotopy continuation method","year":2009,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Continuation; Mathematics; Path (computing); Homotopy; State space; Ordinary differential equation; Space (punctuation); Mathematical analysis; State (computer science); Control theory (sociology); Applied mathematics; Topology (electrical circuits); Control (management); Pure mathematics; Differential equation; Computer science; Algorithm; Combinatorics; Artificial intelligence","score_opus":0.04414550482807222,"score_gpt":0.38755638577228707,"score_spread":0.34341088094421485,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119318373","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08293114,0.000658442,0.86942416,0.0024440184,0.00041306578,0.00030412254,0.0004255849,0.0009704206,0.042429056],"genre_scores_gemma":[0.7516621,0.0012624052,0.22927244,0.0004897641,0.0005377783,0.00074541,0.00076145015,0.0005520684,0.014716621],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99828255,0.00025998685,0.00012514293,0.00053380494,0.00050970673,0.00028881434],"domain_scores_gemma":[0.9923499,0.004071127,0.00060921954,0.0009218247,0.0013691005,0.0006787697],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023895532,0.00083515677,0.0013963624,0.001454056,0.002374895,0.0016782512,0.001534912,0.0031037838,0.015987985],"category_scores_gemma":[0.018553378,0.00079461455,0.0015858399,0.0006942356,0.0042237886,0.006189334,0.0046661813,0.0045179604,0.0023865588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000127706,0.00008915826,0.0009909497,0.00022294294,0.000025882227,0.0009006438,0.0004995574,0.008052113,0.008945806,0.9548407,0.0027482419,0.022556337],"study_design_scores_gemma":[0.00011646164,0.0002928161,0.0009328912,0.0001779337,0.00002884151,0.0010916097,0.00031035134,0.10762614,0.01042851,0.8650026,0.013906986,0.00008492989],"about_ca_topic_score_codex":0.0008348345,"about_ca_topic_score_gemma":0.00053978205,"teacher_disagreement_score":0.015987985,"about_ca_system_score_codex":0.0007141839,"about_ca_system_score_gemma":0.0022420571,"threshold_uncertainty_score":0.053485155},"labels":[],"label_agreement":null},{"id":"W2121997541","doi":"10.1109/cdc.1998.760706","title":"Stabilization of LTI systems with planar anti-stable dynamics using saturated linear feedback","year":2002,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Control theory (sociology); Planar; Linear system; Positive feedback; Negative feedback; Dynamics (music); Stability (learning theory); Feedback loop; Domain (mathematical analysis); Mathematics; Computer science; Physics; Engineering; Mathematical analysis; Control (management)","score_opus":0.0705188806264383,"score_gpt":0.28691100233609723,"score_spread":0.21639212170965894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121997541","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21174727,0.00020279795,0.77928406,0.00017430587,0.000027040142,0.00006976734,0.0000583473,0.0005726519,0.0078637665],"genre_scores_gemma":[0.9871098,0.00012671256,0.011525303,0.000027071446,0.000008462102,0.000039307743,0.00003422445,0.000011238596,0.0011179328],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9998747,0.000020290487,0.000007499331,0.000022259826,0.000052824926,0.000022447617],"domain_scores_gemma":[0.9997004,0.000100617166,0.00010596485,0.000026415653,0.00005451296,0.000012134566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016127016,0.00034540513,0.00023492586,0.00017032541,0.00022292207,0.0003664945,0.00031898124,0.00022082313,0.0010932164],"category_scores_gemma":[0.0006477192,0.00012200973,0.00021260823,0.0001729173,0.00063364697,0.00045922556,0.00055973575,0.00024493824,0.00013703047],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002511769,0.000054844106,0.0019373561,0.00031575208,0.00006145067,0.0005106768,0.00032593112,0.7530905,0.16156277,0.044779126,0.0005256192,0.036584806],"study_design_scores_gemma":[0.000024696063,0.00025675056,0.00055887375,0.000011434408,0.00002271407,0.00011142014,0.00008762281,0.9609581,0.026462087,0.009749647,0.0017453943,0.00001129571],"about_ca_topic_score_codex":0.0014073584,"about_ca_topic_score_gemma":0.0010396374,"teacher_disagreement_score":0.0014073584,"about_ca_system_score_codex":0.00031907673,"about_ca_system_score_gemma":0.00031147996,"threshold_uncertainty_score":0.0036571622},"labels":[],"label_agreement":null},{"id":"W2124023824","doi":"10.1007/s12346-010-0025-6","title":"Bifurcation of Limit Cycles in Cubic Integrable Z2-Equivariant Planar Vector Fields","year":2010,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Integrable system; Mathematics; Bifurcation; Equivariant map; Infinite-period bifurcation; Planar; Limit (mathematics); Hamiltonian system; Mathematical analysis; Hamiltonian (control theory); Computation; Vector field; Bifurcation theory; Pure mathematics; Geometry; Physics; Quantum mechanics; Nonlinear system; Mathematical optimization; Computer science","score_opus":0.060308230959146995,"score_gpt":0.37708275352574894,"score_spread":0.31677452256660193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124023824","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9516434,0.00029792573,0.012910493,0.00041142813,0.0000570511,0.000034731587,0.000079360114,0.0001414666,0.034424108],"genre_scores_gemma":[0.99524873,0.00011034566,0.0012493664,0.00003613462,0.00002073741,0.000017830265,0.00004973299,0.000022435834,0.0032446207],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99987733,0.00002440379,0.0000058349883,0.000014803666,0.00003781561,0.00003981069],"domain_scores_gemma":[0.99975604,0.000050215105,0.00006341788,0.000022445423,0.00004420902,0.00006369117],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002528334,0.0002927947,0.00040973403,0.0014122232,0.00091939553,0.00180777,0.00044744083,0.0006735509,0.0029203477],"category_scores_gemma":[0.0010676852,0.00023663482,0.00034916203,0.0006011958,0.0014064963,0.0012024376,0.00090790435,0.0006332856,0.00026530062],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001073957,0.000049517657,0.0010208932,0.000044497752,0.000016880955,0.00025330912,0.00037018655,0.015007169,0.007525578,0.9676476,0.0010735076,0.0068833786],"study_design_scores_gemma":[0.000056215096,0.000055903787,0.0021143036,0.00002341906,0.000011526765,0.00024578205,0.0003888099,0.103905186,0.002324797,0.8886921,0.0021483211,0.000033577267],"about_ca_topic_score_codex":0.001793663,"about_ca_topic_score_gemma":0.0010806178,"teacher_disagreement_score":0.0029203477,"about_ca_system_score_codex":0.0015793856,"about_ca_system_score_gemma":0.0004895201,"threshold_uncertainty_score":0.011459351},"labels":[],"label_agreement":null},{"id":"W2124948884","doi":"10.1006/jsvi.1999.2751","title":"ON THE COMPUTATION OF THE COEFFICIENTS ASSOCIATED WITH HIGH ORDER NORMAL FORMS","year":2000,"lang":"en","type":"article","venue":"Journal of Sound and Vibration","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Maple; Jacobian matrix and determinant; Symbolic computation; Diagonal; Computation; Mathematics; Order (exchange); Applied mathematics; Mathematical analysis; Calculus (dental); Algebra over a field; Pure mathematics; Algorithm; Geometry","score_opus":0.017196004001882377,"score_gpt":0.2596255287434947,"score_spread":0.24242952474161233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124948884","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1607207,0.00064836256,0.81919265,0.00046265687,0.00030756785,0.00011993249,0.00020293896,0.00058764906,0.017757496],"genre_scores_gemma":[0.5723976,0.0012590943,0.4047916,0.00016765013,0.00026982414,0.00017273948,0.0006932959,0.000787529,0.019460794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934524,0.00020897119,0.000040295407,0.00007177811,0.00026048016,0.000073318086],"domain_scores_gemma":[0.9943831,0.004004779,0.0002495781,0.0004575553,0.0006114084,0.00029365395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019275867,0.0012594926,0.0009566834,0.002645076,0.00085254107,0.0024206212,0.0016940065,0.0010708934,0.0066312705],"category_scores_gemma":[0.018383943,0.00051734765,0.0005854024,0.0015152098,0.0018939206,0.0037877944,0.002327768,0.0025875631,0.0015428285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035615556,0.00018414289,0.002973733,0.00034904465,0.000050112572,0.00040910576,0.0007988347,0.07464352,0.011526991,0.7426564,0.0066575445,0.15939441],"study_design_scores_gemma":[0.000052046675,0.0000487469,0.0007869869,0.00007243007,0.000021247986,0.00020733928,0.00017722714,0.56123406,0.0052129366,0.42755514,0.004582242,0.000049519273],"about_ca_topic_score_codex":0.0017310032,"about_ca_topic_score_gemma":0.0031579186,"teacher_disagreement_score":0.0066312705,"about_ca_system_score_codex":0.00070446706,"about_ca_system_score_gemma":0.0009980809,"threshold_uncertainty_score":0.022183836},"labels":[],"label_agreement":null},{"id":"W2124951737","doi":"10.1016/j.chaos.2005.03.010","title":"Bifurcation of limit cycles in a quintic Hamiltonian system under a sixth-order perturbation","year":2005,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quintic function; Mathematics; Limit cycle; Bifurcation; Infinite-period bifurcation; Degenerate energy levels; Hamiltonian system; Perturbation (astronomy); Hamiltonian (control theory); Mathematical analysis; Limit (mathematics); Hopf bifurcation; Polynomial; Physics; Nonlinear system; Quantum mechanics; Mathematical optimization","score_opus":0.03731265059960231,"score_gpt":0.3193380343506378,"score_spread":0.2820253837510355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124951737","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9793941,0.00010240435,0.00973413,0.0002854441,0.00004074794,0.000022214714,0.000027688478,0.00007641054,0.01031688],"genre_scores_gemma":[0.99693006,0.000044320503,0.0014954753,0.000026607533,0.000015333066,0.000009709367,0.000016115751,0.000011976051,0.0014504781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999244,0.000022442138,0.000004964741,0.000010022952,0.000019180627,0.000018941606],"domain_scores_gemma":[0.9997218,0.000065235094,0.000046101868,0.0000308877,0.000039435046,0.0000964251],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002821995,0.00022205888,0.0004038635,0.0007869978,0.0010132365,0.0009713248,0.00039088062,0.00067904446,0.0020020343],"category_scores_gemma":[0.0009622749,0.00018489966,0.00036382655,0.0002806789,0.0010254879,0.0006356673,0.00068272016,0.00038193693,0.00015160641],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00063354016,0.0002347976,0.0055704047,0.00016383464,0.00013833823,0.0037081034,0.0020480282,0.14353183,0.09846873,0.7261971,0.0023158977,0.016989408],"study_design_scores_gemma":[0.00007033428,0.00016027383,0.005309085,0.000022203223,0.000032366526,0.00077101804,0.0003410776,0.71301,0.0060203862,0.27270535,0.0015007321,0.00005708759],"about_ca_topic_score_codex":0.0009543942,"about_ca_topic_score_gemma":0.0005638476,"teacher_disagreement_score":0.0020020343,"about_ca_system_score_codex":0.0005810634,"about_ca_system_score_gemma":0.00033696805,"threshold_uncertainty_score":0.006697476},"labels":[],"label_agreement":null},{"id":"W2126266600","doi":"10.1007/bf02968129","title":"Normalizable, integrable and linearizable saddle points in the lotka-volterra system","year":2004,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Monodromy; Integrable system; Mathematics; Pure mathematics; Conjecture; Invariant (physics); Homoclinic orbit; Linearizability; Mathematical physics; Correctness; Nonlinear system; Bifurcation; Physics","score_opus":0.06061443449764408,"score_gpt":0.359766472703868,"score_spread":0.29915203820622394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2126266600","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86025304,0.0007838434,0.101547055,0.0022137621,0.0001288585,0.00004354081,0.000140029,0.00021299787,0.034676798],"genre_scores_gemma":[0.9915834,0.00015734474,0.0033177645,0.00007711257,0.000050381703,0.00002839931,0.000044403983,0.000029048391,0.0047122915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997987,0.00007606929,0.000007895216,0.00002642387,0.00005782352,0.000033177177],"domain_scores_gemma":[0.99960357,0.0001387285,0.00007039825,0.000033507626,0.00006488719,0.0000889041],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006136912,0.00035913766,0.00072491664,0.00077186566,0.00092772563,0.0019291533,0.0009230487,0.0011668269,0.0022944773],"category_scores_gemma":[0.0015979975,0.00032219038,0.0005041069,0.00042076106,0.0025706126,0.0017535173,0.0010933835,0.00089472684,0.00027283633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052081756,0.00004044146,0.00048859534,0.000026140891,0.000018536348,0.00014518278,0.0002129503,0.030030193,0.001883225,0.964398,0.0007496401,0.0019549723],"study_design_scores_gemma":[0.000028179209,0.000021254276,0.00043294986,0.00000564728,0.0000060234747,0.0000679528,0.00010379021,0.14304197,0.00016830402,0.8557735,0.00033392324,0.000016511003],"about_ca_topic_score_codex":0.0017394314,"about_ca_topic_score_gemma":0.0010507166,"teacher_disagreement_score":0.0022944773,"about_ca_system_score_codex":0.00096719,"about_ca_system_score_gemma":0.0005824107,"threshold_uncertainty_score":0.0076758265},"labels":[],"label_agreement":null},{"id":"W2126654728","doi":"10.1016/s0022-4049(99)00121-8","title":"On some properties of elementary derivations in dimension six","year":2001,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"University of Ottawa","keywords":"Mathematics; Counterexample; Dimension (graph theory); Monomial; Zero (linguistics); Polynomial ring; Field (mathematics); Kernel (algebra); Elementary theory; Pure mathematics; Rational number; Algebra over a field; Polynomial; Discrete mathematics; Mathematical analysis","score_opus":0.026351471425645617,"score_gpt":0.2647195575368058,"score_spread":0.2383680861111602,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2126654728","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.749706,0.0025656156,0.075250916,0.0026113645,0.00044404372,0.000068768924,0.00041411573,0.00016554585,0.16877364],"genre_scores_gemma":[0.9796142,0.0013344608,0.008796579,0.00027553723,0.00041488904,0.000029743944,0.00023702286,0.00006881555,0.009228673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994349,0.00016458354,0.00006022751,0.00008826947,0.00014155201,0.000110392844],"domain_scores_gemma":[0.9964567,0.0021126403,0.00030780255,0.00034379485,0.00043526004,0.00034387552],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001873167,0.0006280647,0.00094576547,0.0025944493,0.002492856,0.0030420911,0.0012055614,0.0011519168,0.0055060117],"category_scores_gemma":[0.00536567,0.0004668861,0.0008563122,0.0032479204,0.004393909,0.0068677417,0.001768233,0.0023758488,0.00067277846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019103672,0.000014082847,0.00031847868,0.000016255652,0.0000034071977,0.00010352187,0.00033224162,0.00022216247,0.00030647308,0.99595535,0.00037447645,0.0023343514],"study_design_scores_gemma":[0.000006252734,0.000011207483,0.00024834776,0.000009590676,0.0000047599333,0.00011931709,0.00010081734,0.0007337623,0.00022583488,0.9973816,0.0011505833,0.000007810828],"about_ca_topic_score_codex":0.0006042784,"about_ca_topic_score_gemma":0.000563951,"teacher_disagreement_score":0.0055060117,"about_ca_system_score_codex":0.00079891755,"about_ca_system_score_gemma":0.000509912,"threshold_uncertainty_score":0.018419445},"labels":[],"label_agreement":null},{"id":"W2126797173","doi":"10.1016/j.bulsci.2004.04.001","title":"Polynomial differential systems having a given Darbouxian first integral","year":2004,"lang":"en","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Polynomial; Matrix polynomial; Monic polynomial; Invariant (physics); Symmetric polynomial; Algebraic function; Differential (mechanical device); Homogeneous polynomial; Inverse; Vector-valued function; Algebraic number; Pure mathematics; Mathematical analysis; Physics; Geometry","score_opus":0.056668010249939844,"score_gpt":0.3163539485121709,"score_spread":0.2596859382622311,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2126797173","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47867653,0.0018517682,0.35700268,0.0034436595,0.0008945058,0.00013755288,0.0005542467,0.0005825442,0.15685648],"genre_scores_gemma":[0.9523915,0.000615186,0.019081477,0.00019756773,0.00030278307,0.00004289547,0.00014430053,0.00010341719,0.02712103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996099,0.000054760614,0.000014954509,0.00007995931,0.00012936232,0.00011111027],"domain_scores_gemma":[0.99922204,0.00020219399,0.000108710134,0.000060821953,0.00019116707,0.000214947],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005674671,0.0006805485,0.001455381,0.0021164324,0.0022724418,0.0030385978,0.00083692523,0.0014972157,0.005900923],"category_scores_gemma":[0.002228273,0.0003104767,0.0008824029,0.0012185212,0.0020487704,0.002658938,0.0017491915,0.0024041692,0.000680615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031264208,0.000016811528,0.000096248754,0.000026873204,0.000008768578,0.00007758338,0.00011259361,0.0018065016,0.0013602927,0.9935406,0.00045269006,0.0024697578],"study_design_scores_gemma":[0.000040155486,0.00005586496,0.0003075968,0.000015837162,0.000019448205,0.00037816743,0.000110612935,0.041483663,0.0019098145,0.95081186,0.0048333793,0.000033656917],"about_ca_topic_score_codex":0.0011638247,"about_ca_topic_score_gemma":0.0007774582,"teacher_disagreement_score":0.005900923,"about_ca_system_score_codex":0.002493698,"about_ca_system_score_gemma":0.0010860132,"threshold_uncertainty_score":0.019740522},"labels":[],"label_agreement":null},{"id":"W2128174431","doi":"10.1142/s0219498807002168","title":"THE pp CONJECTURE FOR SPACES OF ORDERINGS OF RATIONAL CONICS","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra and Its Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Counterexample; Conic section; Rational function; Combinatorics; Field (mathematics); Space (punctuation); Subspace topology; Product (mathematics); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.02151080537664972,"score_gpt":0.3199648066355018,"score_spread":0.2984540012588521,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2128174431","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80041057,0.0015384933,0.11386052,0.007722015,0.0003444258,0.00005686699,0.000602956,0.00035865165,0.075105436],"genre_scores_gemma":[0.9874286,0.0004241807,0.0068003316,0.0004140863,0.00029558386,0.000040622956,0.00042811956,0.00003239906,0.0041359677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876523,0.00030990012,0.00008521409,0.00024635062,0.00036513573,0.00022813739],"domain_scores_gemma":[0.99759585,0.0012423884,0.00026293923,0.00040305295,0.00029145414,0.0002043029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011682893,0.0004941885,0.0007079995,0.0012169142,0.0018299678,0.0028048053,0.00083396037,0.0012095222,0.006277361],"category_scores_gemma":[0.0047172406,0.00026889093,0.0007955737,0.0014077398,0.0051926947,0.009248995,0.0037818877,0.0025454708,0.00029937678],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039594248,0.000011973892,0.0005965184,0.00004023825,0.000005260944,0.00014241734,0.00025245844,0.0007995021,0.00029021595,0.99354255,0.0008524668,0.0034268324],"study_design_scores_gemma":[0.000011184671,0.000021279053,0.00041594138,0.000011415803,0.000003854158,0.00016402698,0.00017557699,0.002963232,0.00036430877,0.993887,0.0019751734,0.0000070776414],"about_ca_topic_score_codex":0.00061346544,"about_ca_topic_score_gemma":0.00031506963,"teacher_disagreement_score":0.006277361,"about_ca_system_score_codex":0.0006542737,"about_ca_system_score_gemma":0.00040031387,"threshold_uncertainty_score":0.020999849},"labels":[],"label_agreement":null},{"id":"W2128796982","doi":"10.1016/j.cnsns.2015.04.005","title":"Center and isochronous center conditions for switching systems associated with elementary singular points","year":2015,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Center (category theory); Quadratic equation; Mathematics; Limit (mathematics); Limit cycle; Control theory (sociology); Mathematical analysis; Applied mathematics; Computer science; Geometry; Control (management)","score_opus":0.08445773183614705,"score_gpt":0.38507544080164197,"score_spread":0.3006177089654949,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2128796982","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4507145,0.00076429173,0.47600573,0.0007850413,0.00036777867,0.00018859992,0.0003853523,0.0003595703,0.07042916],"genre_scores_gemma":[0.9805782,0.00026754194,0.012133218,0.000109512046,0.00012796151,0.00007246191,0.00017884572,0.000110584,0.0064215306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996068,0.000064481865,0.000026984731,0.00007124217,0.00010720757,0.00012336374],"domain_scores_gemma":[0.99778533,0.0007897467,0.00031838813,0.00013983402,0.0006058705,0.00036078205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001061976,0.0006388014,0.0010413745,0.002019277,0.0012546543,0.0019977952,0.0010236221,0.0010379258,0.009696976],"category_scores_gemma":[0.004869813,0.00030379603,0.000798806,0.0006528532,0.0018773602,0.0023392965,0.0021537142,0.0016693345,0.00061193405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023683245,0.000057564506,0.0005036564,0.00007677013,0.000023871395,0.00026285357,0.00035776067,0.013974102,0.0049488754,0.9711803,0.0014918948,0.0068855262],"study_design_scores_gemma":[0.00009087527,0.00011586557,0.0007738735,0.000041902782,0.000028913042,0.00016168549,0.0004473747,0.26978222,0.004141873,0.72226363,0.002095275,0.000056483554],"about_ca_topic_score_codex":0.0019769478,"about_ca_topic_score_gemma":0.002043987,"teacher_disagreement_score":0.009696976,"about_ca_system_score_codex":0.0011815666,"about_ca_system_score_gemma":0.0015006049,"threshold_uncertainty_score":0.03243965},"labels":[],"label_agreement":null},{"id":"W2129845849","doi":"10.1142/s021812741002791x","title":"THE GEOMETRY OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS AND AN INVARIANT STRAIGHT LINE","year":2010,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Phase portrait; Mathematics; Invariant theory; Bifurcation diagram; Quadratic differential; Invariant (physics); Infinite-period bifurcation; Mathematical analysis; Pure mathematics; Bifurcation; Quadratic equation; Discrete mathematics; Geometry; Algebra over a field; Physics; Quantum mechanics; Mathematical physics","score_opus":0.015780432343842223,"score_gpt":0.3005627682972236,"score_spread":0.28478233595338137,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2129845849","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9324143,0.00043273062,0.04293455,0.0003505369,0.000023263781,0.000050953302,0.00014624068,0.00007053948,0.023576837],"genre_scores_gemma":[0.9926819,0.00017785729,0.0035866338,0.000029729545,0.000029934696,0.000025612122,0.00009801235,0.0000134304255,0.0033568433],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99980086,0.000026519632,0.000008127403,0.000045538127,0.00007466547,0.000044342196],"domain_scores_gemma":[0.99975175,0.00004872781,0.000083110666,0.000018250219,0.000052236745,0.000045995126],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001502019,0.00029760442,0.00021304045,0.0012096404,0.0007382404,0.0010050002,0.00039806162,0.00031269717,0.003535723],"category_scores_gemma":[0.0005684402,0.00024385168,0.00031831773,0.00040575108,0.0013580447,0.0013123712,0.0011881924,0.00055444025,0.00031699613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058768797,0.000026377347,0.0028260562,0.00007673746,0.00001969464,0.0004911064,0.0013803776,0.0134173725,0.02355914,0.9424839,0.0008895485,0.014770924],"study_design_scores_gemma":[0.00009563757,0.00031581311,0.015027484,0.00004094945,0.000028160493,0.0013300973,0.0011942511,0.11755687,0.009375072,0.8371761,0.017796548,0.00006312878],"about_ca_topic_score_codex":0.0017008358,"about_ca_topic_score_gemma":0.0004894527,"teacher_disagreement_score":0.003535723,"about_ca_system_score_codex":0.0010536811,"about_ca_system_score_gemma":0.00022449555,"threshold_uncertainty_score":0.0118281245},"labels":[],"label_agreement":null},{"id":"W2131059739","doi":"10.71781/15203","title":"Solution de C. Hyltén-Cavallius pour un problème de P. Turán concernant des polynômes","year":2008,"lang":"fr","type":"dissertation","venue":"Open MIND","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Physics; Combinatorics; Mathematics; Humanities; Philosophy","score_opus":0.07513863189694595,"score_gpt":0.3539399552575521,"score_spread":0.27880132336060615,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131059739","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09008866,0.007398166,0.82961416,0.012282628,0.0032815204,0.0003132893,0.0005489313,0.0002010058,0.056271613],"genre_scores_gemma":[0.55737454,0.004547115,0.2807435,0.0015741565,0.0014330978,0.0008490589,0.00067768124,0.0005639497,0.15223685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99963784,0.00014831325,0.000012134801,0.00008404205,0.000062441286,0.000055168446],"domain_scores_gemma":[0.99853706,0.0010927314,0.00006610786,0.0000313038,0.00015251912,0.00012037074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001339128,0.001352767,0.0012045371,0.0008590082,0.00089742354,0.0013947756,0.00080498867,0.0041514584,0.008496982],"category_scores_gemma":[0.008555527,0.0003975561,0.0008371,0.000562158,0.0016642016,0.0016375686,0.0025809004,0.0029392638,0.0008163607],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005642942,0.00014386779,0.0015274498,0.001204997,0.00014627197,0.0009900858,0.0011920583,0.34881625,0.007879118,0.5696226,0.023937877,0.043975174],"study_design_scores_gemma":[0.00012514535,0.00013826735,0.0007335614,0.00015157543,0.000034997756,0.00028750108,0.0005373672,0.8336328,0.0018719815,0.14152554,0.020893404,0.000067831854],"about_ca_topic_score_codex":0.010086848,"about_ca_topic_score_gemma":0.0068154284,"teacher_disagreement_score":0.010086848,"about_ca_system_score_codex":0.0011957319,"about_ca_system_score_gemma":0.0017484148,"threshold_uncertainty_score":0.028425217},"labels":[],"label_agreement":null},{"id":"W2134532571","doi":"10.1017/etds.2014.104","title":"Universal curves in the center problem for Abel differential equations","year":2014,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Center (category theory); Lipschitz continuity; Invertible matrix; Iterated function; Power series; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.019371450613863018,"score_gpt":0.2822332691115627,"score_spread":0.2628618184976997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2134532571","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8756906,0.0011125518,0.090761766,0.0008704968,0.00007194191,0.00005694635,0.0001138732,0.00016327988,0.031158576],"genre_scores_gemma":[0.983278,0.00043760476,0.008252325,0.0000620375,0.00012912252,0.000038010385,0.000102480364,0.00005677321,0.0076435986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968743,0.00005438098,0.000012283792,0.00006982018,0.00008121961,0.000094860756],"domain_scores_gemma":[0.9989563,0.00035999357,0.00020753742,0.000067644345,0.00012221132,0.00028632162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076987414,0.0006243932,0.0007964392,0.0017155723,0.001493736,0.0017103871,0.00074978574,0.00114625,0.0037385626],"category_scores_gemma":[0.0030537883,0.00025743022,0.00064552925,0.00075029506,0.0027041193,0.0033936228,0.0021439195,0.0013310836,0.00027899354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002752274,0.000018022298,0.0003986472,0.00002275012,0.0000054911307,0.00009668566,0.0002538021,0.0032269352,0.0009836032,0.9914914,0.00026366086,0.0032115234],"study_design_scores_gemma":[0.000049379523,0.00006582182,0.0006621292,0.000026020089,0.000012263318,0.00017280935,0.0003008846,0.053298123,0.0016825777,0.9402529,0.0034493431,0.00002769935],"about_ca_topic_score_codex":0.0018961565,"about_ca_topic_score_gemma":0.00067074195,"teacher_disagreement_score":0.0037385626,"about_ca_system_score_codex":0.0022535545,"about_ca_system_score_gemma":0.0006953435,"threshold_uncertainty_score":0.016350687},"labels":[],"label_agreement":null},{"id":"W2135009399","doi":"10.1016/j.jde.2003.10.017","title":"Lamé equations with algebraic solutions","year":2003,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Countable set; Algebraic number; Algebraic equation; Exponent; Integer (computer science); Algebraic solution; Monodromy; Scaling; Set (abstract data type); Solution set; Algebraic function; Order (exchange); Pure mathematics; Mathematical analysis; Differential equation; Differential algebraic equation; Nonlinear system; Ordinary differential equation","score_opus":0.05619361567804742,"score_gpt":0.3013904349509747,"score_spread":0.24519681927292725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135009399","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13996921,0.0070302463,0.40985107,0.019932393,0.003353068,0.0001866411,0.0007208892,0.00057755015,0.41837898],"genre_scores_gemma":[0.72500366,0.004600646,0.051033426,0.0018434095,0.0030137317,0.00020869798,0.0005888975,0.0002575489,0.21344998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995771,0.00012079619,0.000028778371,0.000061138584,0.00014155998,0.00007054418],"domain_scores_gemma":[0.9991074,0.0002695663,0.00014039974,0.000065318665,0.00027913117,0.00013806851],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007887392,0.0009321386,0.0009861928,0.0022701155,0.0019128906,0.0032509088,0.0013330753,0.00254096,0.013526931],"category_scores_gemma":[0.0043969615,0.0005207376,0.00083775196,0.0015614376,0.002604659,0.0063521927,0.0031026495,0.0035379904,0.0021399853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000066799143,0.000007912353,0.00004195362,0.000019101815,0.000003822287,0.00004486982,0.00008347532,0.0005501047,0.00022596147,0.9951133,0.0017303369,0.002172437],"study_design_scores_gemma":[0.000018861625,0.000009502673,0.00008569035,0.000010835701,0.0000058485557,0.00019806583,0.000093668146,0.009999581,0.0002540929,0.9813157,0.007994413,0.000013940289],"about_ca_topic_score_codex":0.0011251083,"about_ca_topic_score_gemma":0.0009170846,"teacher_disagreement_score":0.013526931,"about_ca_system_score_codex":0.001307096,"about_ca_system_score_gemma":0.000928503,"threshold_uncertainty_score":0.045252144},"labels":[],"label_agreement":null},{"id":"W2135551616","doi":"10.1007/bf02922086","title":"A degenerate Newton’s map in two complex variables: Linking with currents","year":2007,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Homomorphism; Iterated function; Degenerate energy levels; Inverse; Invariant (physics); Locus (genetics); Algebraically closed field; Algebraic number; Pure mathematics; Mathematical analysis; Combinatorics; Geometry; Physics; Mathematical physics","score_opus":0.05126882780652782,"score_gpt":0.3610237034099544,"score_spread":0.30975487560342657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135551616","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47788087,0.0021504902,0.29332253,0.0065919408,0.0027563325,0.00014700629,0.00015545123,0.0006739463,0.21632136],"genre_scores_gemma":[0.92002916,0.0009865318,0.034103304,0.00086865143,0.0011824118,0.00006947836,0.00008571966,0.00028820924,0.042386577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995535,0.00011559381,0.000023163695,0.00010990138,0.00012569327,0.00007211813],"domain_scores_gemma":[0.9992182,0.00016554516,0.0001525309,0.0000889218,0.00011493188,0.00025978417],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009515338,0.00066445966,0.0007885161,0.0031389168,0.0029613697,0.0033809976,0.0011013435,0.0027701857,0.0062632035],"category_scores_gemma":[0.0028318323,0.0005907806,0.00087738875,0.0011536414,0.004198909,0.0054643075,0.0024323296,0.0023320874,0.00082112843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010396596,0.000018584522,0.000102444305,0.000017493641,0.0000052068294,0.00011834425,0.00028843665,0.0007477537,0.0005163392,0.9948666,0.0007282636,0.0025800245],"study_design_scores_gemma":[0.000007695087,0.000016779652,0.0001521945,0.000010619038,0.000005448039,0.00022205943,0.000118592056,0.00581278,0.00019812307,0.9901447,0.003297161,0.000013825463],"about_ca_topic_score_codex":0.00085457764,"about_ca_topic_score_gemma":0.0006671733,"teacher_disagreement_score":0.0062632035,"about_ca_system_score_codex":0.0012111611,"about_ca_system_score_gemma":0.0008370209,"threshold_uncertainty_score":0.020952463},"labels":[],"label_agreement":null},{"id":"W2135881700","doi":"10.1142/s0218127410027040","title":"CRITICAL PERIODS OF THIRD-ORDER PLANAR HAMILTONIAN SYSTEMS","year":2010,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Planar; Hamiltonian system; Hamiltonian (control theory); Third order; Computation; Mathematics; Critical point (mathematics); First order; Adiabatic quantum computation; Mathematical analysis; Physics; Applied mathematics; Computer science; Mathematical optimization; Quantum mechanics; Algorithm; Law","score_opus":0.02139992680382889,"score_gpt":0.3461934218323148,"score_spread":0.32479349502848587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135881700","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9634665,0.0005986319,0.01940774,0.00013441828,0.000020996158,0.000020437385,0.000043482363,0.00006832533,0.016239427],"genre_scores_gemma":[0.99868566,0.000107010346,0.0007578696,0.0000061150936,0.0000057078796,0.000007640071,0.000014471866,0.000005623526,0.0004098947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99994874,0.0000074464624,0.000002040344,0.000006524993,0.000013179478,0.000022027356],"domain_scores_gemma":[0.9997781,0.000076263335,0.000063403495,0.000011818504,0.000028594115,0.00004184465],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011320436,0.00017436518,0.0001678631,0.0005776332,0.0004429298,0.0005115492,0.00017739958,0.00019627583,0.0022999714],"category_scores_gemma":[0.00070057326,0.00008887043,0.00017579587,0.0001896156,0.0007831473,0.00046348217,0.000492989,0.00033169007,0.00012075288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037928054,0.0000821849,0.008610062,0.00039308562,0.00008682377,0.0013560877,0.0010400867,0.24692017,0.06647684,0.6408973,0.0022734771,0.031484496],"study_design_scores_gemma":[0.000082704064,0.000198972,0.010541219,0.00006796203,0.000055783414,0.00067541597,0.00085844286,0.63436824,0.021505957,0.32680294,0.0047693136,0.00007304722],"about_ca_topic_score_codex":0.0007031789,"about_ca_topic_score_gemma":0.00047771083,"teacher_disagreement_score":0.0022999714,"about_ca_system_score_codex":0.00045243252,"about_ca_system_score_gemma":0.0003278511,"threshold_uncertainty_score":0.007694125},"labels":[],"label_agreement":null},{"id":"W2136200854","doi":"10.1016/j.chaos.2006.03.086","title":"Normal forms of vector fields with perturbation parameters and their application","year":2006,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; University of Hong Kong; City University of Hong Kong","keywords":"Perturbation (astronomy); Vector field; Mathematics; Computation; Bifurcation; Nonlinear system; Transformation (genetics); Mathematical analysis; Normal mode; Physics; Geometry; Algorithm; Quantum mechanics","score_opus":0.013225776829973909,"score_gpt":0.24983558966497518,"score_spread":0.23660981283500127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2136200854","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25800684,0.0036548956,0.65029556,0.0022420306,0.0014124797,0.0002751848,0.0004274459,0.00074937433,0.08293619],"genre_scores_gemma":[0.8443613,0.004571184,0.1002389,0.00033367053,0.0015813318,0.00018486688,0.00033016107,0.0005436438,0.047854934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920493,0.0003874847,0.000056361518,0.00012650722,0.00015806028,0.000066643195],"domain_scores_gemma":[0.9972663,0.0009349611,0.00041336435,0.00028274322,0.0006545868,0.0004480626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018880734,0.0014007044,0.0007729189,0.0047146245,0.0010473861,0.0027453536,0.0013890207,0.001586777,0.004221072],"category_scores_gemma":[0.008937219,0.0006591474,0.00074761815,0.0028104086,0.0035348816,0.0056314375,0.0024469565,0.002347602,0.0009375517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000454624,0.00004477823,0.00022806395,0.000041182928,0.000009009477,0.00011203546,0.00029535405,0.0056541595,0.001742176,0.97729707,0.00096689584,0.013563728],"study_design_scores_gemma":[0.00001634794,0.000040837574,0.00021589358,0.000021773641,0.000008816899,0.00030591607,0.00015901682,0.085703686,0.0009622647,0.9083157,0.004202162,0.000047638077],"about_ca_topic_score_codex":0.00082304055,"about_ca_topic_score_gemma":0.00042263293,"teacher_disagreement_score":0.0047146245,"about_ca_system_score_codex":0.0010365256,"about_ca_system_score_gemma":0.0006899872,"threshold_uncertainty_score":0.014120936},"labels":[],"label_agreement":null},{"id":"W2136393701","doi":"10.4153/cmb-2009-054-5","title":"A Note on Locally Nilpotent Derivations and Variables of <i>k</i>[<i>X</i>, <i>Y</i>, <i>Z</i>]","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Nilpotent; Zero (linguistics); Locally nilpotent; Field (mathematics); Pure mathematics; Discrete mathematics; Nilpotent group","score_opus":0.017521390140161013,"score_gpt":0.2588888994058763,"score_spread":0.24136750926571526,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2136393701","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6047326,0.0065095425,0.10830137,0.0077365534,0.002040187,0.000062304935,0.00024133915,0.00038961627,0.26998645],"genre_scores_gemma":[0.97215503,0.0010862551,0.010923822,0.0005652029,0.00030572258,0.000016806453,0.000044077722,0.000070137314,0.01483301],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99983144,0.00005439535,0.000014368703,0.000031027605,0.000034630833,0.000034046658],"domain_scores_gemma":[0.99952614,0.00019939881,0.00006268178,0.000048632744,0.0000852299,0.000078028825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048853306,0.00026442157,0.00035170707,0.00054624677,0.0013985265,0.0013858251,0.00062511995,0.0003492318,0.004152847],"category_scores_gemma":[0.0010155636,0.00015679328,0.00027731303,0.0005937531,0.0024288346,0.0030102073,0.0013467472,0.0015029853,0.0004962991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024946208,0.000006735646,0.0003443391,0.000044754866,0.0000034952004,0.00028855886,0.0006489836,0.00027011216,0.0021643268,0.9913852,0.0009830234,0.0038354301],"study_design_scores_gemma":[0.0000064767264,0.000027161055,0.0004957083,0.00001745141,0.0000062541776,0.0002382641,0.00025256875,0.0007852985,0.0016613184,0.9822447,0.014250798,0.000013987181],"about_ca_topic_score_codex":0.0009931187,"about_ca_topic_score_gemma":0.001889473,"teacher_disagreement_score":0.004152847,"about_ca_system_score_codex":0.0006222175,"about_ca_system_score_gemma":0.00061568164,"threshold_uncertainty_score":0.013892591},"labels":[],"label_agreement":null},{"id":"W2137912495","doi":"10.1017/s0017089509990036","title":"THE GENERALISED LIÉNARD EQUATIONS","year":2009,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Homoclinic orbit; Oscillation (cell signaling); Zero (linguistics); Stability (learning theory); Liénard equation; Mathematical analysis; Point (geometry); Pure mathematics; Geometry; Differential equation; Physics; Bifurcation","score_opus":0.04681586955538685,"score_gpt":0.32832601893317154,"score_spread":0.2815101493777847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2137912495","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6634145,0.0015275646,0.17264766,0.0037402622,0.00031356892,0.00012967733,0.00045097808,0.00014707938,0.15762874],"genre_scores_gemma":[0.9690155,0.00047473286,0.009246956,0.00029091106,0.00007504677,0.000064885906,0.00017056939,0.000021212554,0.020640178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997788,0.00006257898,0.000009337746,0.000038416052,0.000076085766,0.00003482796],"domain_scores_gemma":[0.9998217,0.000045397635,0.000043897915,0.000016560083,0.000036496254,0.00003603386],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029943185,0.00029420218,0.0006983355,0.00040747365,0.00042004074,0.0010568554,0.0004869451,0.0010510625,0.003999068],"category_scores_gemma":[0.000992643,0.00016940672,0.00041400996,0.0003080986,0.0012512762,0.0008104707,0.0011240591,0.0009331124,0.00038060354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038435595,0.000016118678,0.0012105675,0.00006945141,0.000036465266,0.0005927809,0.00023120089,0.2025642,0.0033823827,0.7851773,0.0019189623,0.004762136],"study_design_scores_gemma":[0.00007696267,0.000042613825,0.0016150593,0.000031588817,0.000016885395,0.00023726151,0.00017479983,0.566374,0.0005980084,0.42085263,0.009945269,0.00003488543],"about_ca_topic_score_codex":0.010245028,"about_ca_topic_score_gemma":0.0075047393,"teacher_disagreement_score":0.010245028,"about_ca_system_score_codex":0.0009540661,"about_ca_system_score_gemma":0.000745922,"threshold_uncertainty_score":0.020370781},"labels":[],"label_agreement":null},{"id":"W2140235545","doi":"10.1090/s0002-9939-09-10182-x","title":"Proof of a dynamical Bogomolov conjecture for lines under polynomial actions","year":2009,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Conjecture; Polynomial; Mathematics; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.027063978349320065,"score_gpt":0.3143360357611247,"score_spread":0.2872720574118046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2140235545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44162446,0.0011266357,0.2678373,0.012403074,0.0014374637,0.00012872432,0.0009940843,0.0022558065,0.27219242],"genre_scores_gemma":[0.968585,0.0004628792,0.011418935,0.0010695823,0.0005944816,0.00008979773,0.00052113214,0.00029290598,0.016965136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99910575,0.00016772097,0.000044015873,0.0002080417,0.00024299425,0.00023148008],"domain_scores_gemma":[0.9985489,0.0005523413,0.00021250245,0.00020583838,0.00025672565,0.00022364414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009195038,0.00086525886,0.00077531824,0.0011222471,0.0019911067,0.0022314165,0.0010761454,0.0014641477,0.01691956],"category_scores_gemma":[0.0036550297,0.00042250686,0.0015725916,0.00064768334,0.0036513605,0.0049419957,0.003401717,0.0029924193,0.0019882102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036280762,0.00001981125,0.00039085164,0.000052207688,0.000009405198,0.0001548064,0.000219614,0.0015690041,0.0008132553,0.9914398,0.0025748184,0.0027201234],"study_design_scores_gemma":[0.000038686554,0.000027567074,0.0003631205,0.000022417258,0.000011219276,0.00011712202,0.00012848526,0.01141739,0.0008995374,0.981998,0.004956918,0.00001946674],"about_ca_topic_score_codex":0.002659363,"about_ca_topic_score_gemma":0.0015196111,"teacher_disagreement_score":0.01691956,"about_ca_system_score_codex":0.0018021994,"about_ca_system_score_gemma":0.0007587673,"threshold_uncertainty_score":0.056601524},"labels":[],"label_agreement":null},{"id":"W2140959905","doi":"10.1016/j.chaos.2004.09.036","title":"Small limit cycles bifurcating from fine focus points in cubic order Z2-equivariant vector fields","year":2004,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":76,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Equivariant map; Vector field; Focus (optics); Limit (mathematics); Saddle point; Mathematics; Mathematical analysis; Order (exchange); Limit cycle; Point (geometry); Pure mathematics; Physics; Geometry; Optics","score_opus":0.06168198548214264,"score_gpt":0.3085774373031356,"score_spread":0.24689545182099293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2140959905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9757515,0.00018219216,0.010898714,0.00022875302,0.000034778048,0.000029903596,0.000052515188,0.00015067717,0.01267098],"genre_scores_gemma":[0.99320143,0.000082050254,0.002113065,0.000040983894,0.000025289713,0.000023895505,0.00006496289,0.000045135585,0.004403103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99989843,0.000014570655,0.000005574129,0.000016287684,0.000029346056,0.000035731948],"domain_scores_gemma":[0.99951017,0.00011226085,0.00012702927,0.000042277137,0.00006804531,0.00014026693],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023777601,0.00046330213,0.00051639974,0.0018901099,0.0012777263,0.0018920432,0.00054934045,0.0008159042,0.0031965917],"category_scores_gemma":[0.0014873219,0.0004303747,0.00033688362,0.0006531507,0.0014574281,0.0013339359,0.0013141505,0.0008933359,0.0003390908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00042479276,0.00012371858,0.003675702,0.00009490285,0.00005386145,0.00085382385,0.0011944335,0.02171003,0.03637557,0.91882885,0.0020131315,0.014651103],"study_design_scores_gemma":[0.00015204756,0.0001835118,0.007821168,0.000038873295,0.000038370352,0.0007003209,0.00080789294,0.16921733,0.011446941,0.8061137,0.0033936352,0.000086155225],"about_ca_topic_score_codex":0.0018821564,"about_ca_topic_score_gemma":0.0015896654,"teacher_disagreement_score":0.0031965917,"about_ca_system_score_codex":0.0012791363,"about_ca_system_score_gemma":0.0003848429,"threshold_uncertainty_score":0.010693669},"labels":[],"label_agreement":null},{"id":"W2141022665","doi":"10.1016/j.amc.2013.03.023","title":"Double Hopf bifurcation in a container crane model with delayed position feedback","year":2013,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Science Foundation of Heilongjiang Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Center manifold; Hopf bifurcation; Mathematics; Position (finance); Control theory (sociology); Bifurcation; Container (type theory); Pitchfork bifurcation; Mathematical analysis; Point (geometry); Reduction (mathematics); Saddle-node bifurcation; Differential (mechanical device); Physics; Geometry; Computer science; Nonlinear system","score_opus":0.02221445187329779,"score_gpt":0.269009403646905,"score_spread":0.24679495177360722,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141022665","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.781591,0.00081039354,0.17007647,0.0009910513,0.00023948014,0.00006666004,0.00023792397,0.00036143942,0.045625612],"genre_scores_gemma":[0.99178606,0.00012380286,0.0011418936,0.000020406513,0.000013836077,0.000018962966,0.000024797886,0.000010761683,0.006859527],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9999274,0.000013702327,0.0000033326073,0.000021955015,0.000014416723,0.000019209241],"domain_scores_gemma":[0.99983203,0.00004305295,0.00003808464,0.000012024481,0.00003785156,0.000036766327],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017255757,0.00053247565,0.0010410239,0.00056588376,0.00079247414,0.0011308969,0.0008874954,0.0015086778,0.0030405081],"category_scores_gemma":[0.0005040428,0.00038786174,0.0006340508,0.00031973995,0.0009483524,0.0009117624,0.0010672865,0.00079277024,0.00023632434],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020929599,0.00008142765,0.0017440153,0.00013763862,0.00007867725,0.00096145045,0.00018787294,0.92743737,0.012088773,0.051848333,0.0009914754,0.004233762],"study_design_scores_gemma":[0.0000180643,0.000024015835,0.00025195698,0.000005158425,0.00001470076,0.000036014546,0.000029511037,0.9959759,0.00026572196,0.0031427941,0.00022493386,0.000011209034],"about_ca_topic_score_codex":0.0123711815,"about_ca_topic_score_gemma":0.0069821803,"teacher_disagreement_score":0.0123711815,"about_ca_system_score_codex":0.00069706223,"about_ca_system_score_gemma":0.00071455556,"threshold_uncertainty_score":0.02459836},"labels":[],"label_agreement":null},{"id":"W2141310733","doi":"10.1016/j.chaos.2005.12.016","title":"Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11","year":2006,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Vector field; Mathematics; Equivariant map; Hamiltonian (control theory); Perturbation (astronomy); Planar; Mathematical analysis; Limit cycle; Hamiltonian system; Mathematical physics; Limit (mathematics); Pure mathematics; Physics; Quantum mechanics; Geometry; Mathematical optimization","score_opus":0.05015892077676255,"score_gpt":0.3202618881362574,"score_spread":0.27010296735949485,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141310733","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9809833,0.00011753008,0.008368725,0.00018764049,0.00002504683,0.00002338396,0.00007528369,0.00004391091,0.010175204],"genre_scores_gemma":[0.9940468,0.00006599977,0.0024726663,0.000022827971,0.00001149986,0.000021994898,0.00008784075,0.000017796525,0.003252522],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998605,0.000022459719,0.000008271661,0.00002503222,0.000041116913,0.000042622192],"domain_scores_gemma":[0.9995511,0.00009182529,0.00013213465,0.000026465363,0.00006882738,0.00012959153],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020727766,0.0003845479,0.00039965194,0.0013044719,0.0014483043,0.001643641,0.00052214967,0.0006849885,0.0028452736],"category_scores_gemma":[0.001101054,0.0004035206,0.0003468334,0.00053135265,0.0009922741,0.001159348,0.001115172,0.0004989852,0.00021988354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035451128,0.00017950329,0.0039556217,0.00014343605,0.000058408496,0.0010199304,0.0009803398,0.024768842,0.03057118,0.9219477,0.0016988807,0.014321681],"study_design_scores_gemma":[0.00012922222,0.00031617703,0.0059667705,0.00005011309,0.000060594295,0.0009311643,0.0010427407,0.25065464,0.020480976,0.7150616,0.005182876,0.00012308864],"about_ca_topic_score_codex":0.00087373727,"about_ca_topic_score_gemma":0.0008229034,"teacher_disagreement_score":0.0028452736,"about_ca_system_score_codex":0.0010310713,"about_ca_system_score_gemma":0.00054935063,"threshold_uncertainty_score":0.009518445},"labels":[],"label_agreement":null},{"id":"W2141720587","doi":"10.11948/2015026","title":"TWO GENERAL CENTRE PRODUCING SYSTEMS FOR THE POINCAR&amp;#201; PROBLEM","year":2015,"lang":"en","type":"article","venue":"Journal of Applied Analysis & Computation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Cape Breton University","funders":"","keywords":"Combinatorics; Integer (computer science); Physics; Mathematics","score_opus":0.05944480984559744,"score_gpt":0.3398964089444849,"score_spread":0.2804515990988875,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141720587","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21096595,0.0010406402,0.6489919,0.002989674,0.00050026044,0.00021500273,0.00053197885,0.00034585985,0.13441877],"genre_scores_gemma":[0.8775587,0.000472359,0.07148899,0.00027572986,0.00021555732,0.00014638373,0.00029950554,0.00011554303,0.049427256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964106,0.0001035213,0.000012329791,0.000080133876,0.00007437022,0.00008859445],"domain_scores_gemma":[0.9994248,0.00025250803,0.00009790084,0.000041427662,0.00007636213,0.00010701625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007115307,0.00071644,0.00077581115,0.0007200087,0.0013302497,0.0021415916,0.0014902949,0.0021808199,0.013986302],"category_scores_gemma":[0.0023945086,0.0003686149,0.00096705917,0.0006982916,0.0021949771,0.0010531162,0.0026224423,0.0013475566,0.00086724816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019859194,0.000054467302,0.0004174582,0.00012235803,0.000028388456,0.00030637128,0.00022980172,0.11747586,0.002306282,0.86579466,0.0033327283,0.009733103],"study_design_scores_gemma":[0.00017388859,0.00018819884,0.0005543042,0.0000311628,0.000033859982,0.00019148114,0.00015870362,0.6479315,0.0019788533,0.3385106,0.010178268,0.000069178524],"about_ca_topic_score_codex":0.004334676,"about_ca_topic_score_gemma":0.0029884626,"teacher_disagreement_score":0.013986302,"about_ca_system_score_codex":0.0019774823,"about_ca_system_score_gemma":0.0009849947,"threshold_uncertainty_score":0.04678881},"labels":[],"label_agreement":null},{"id":"W2141934768","doi":"10.1109/iscas.1988.14915","title":"A codimension-3 bifurcation problem and its application to electrical circuits","year":2003,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Jacobian matrix and determinant; Quasiperiodic function; Bifurcation; Mathematics; Bifurcation theory; Codimension; Equilibrium point; Eigenvalues and eigenvectors; Nonlinear system; Hopf bifurcation; Ordinary differential equation; Mathematical analysis; Applied mathematics; Topology (electrical circuits); Differential equation; Physics; Combinatorics","score_opus":0.025065531474414877,"score_gpt":0.2954943799099345,"score_spread":0.2704288484355196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141934768","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26582223,0.0021143316,0.67686564,0.0016831933,0.0001654737,0.00007901603,0.00015589902,0.00015230477,0.05296187],"genre_scores_gemma":[0.94088966,0.0010745197,0.046219945,0.000106026724,0.0001340527,0.000081174585,0.00009307813,0.000023343326,0.01137829],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999373,0.000021189382,0.0000035279884,0.00001019785,0.000019053581,0.000008606907],"domain_scores_gemma":[0.99985504,0.00007741915,0.000024988623,0.0000104849905,0.00002057652,0.000011331693],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020909711,0.00034436712,0.00032895067,0.0004913892,0.00046813456,0.0006671075,0.00024600688,0.0007335236,0.002256433],"category_scores_gemma":[0.00090091914,0.0001473737,0.0002894971,0.00028160418,0.00049912266,0.000546284,0.00065280346,0.00046380746,0.00015017139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060836053,0.000029342487,0.0015057988,0.00014050522,0.00002278819,0.000705858,0.00029677132,0.26324502,0.0073960028,0.68108934,0.002154962,0.043352883],"study_design_scores_gemma":[0.000014337723,0.00001977259,0.0004310386,0.00002006786,0.0000066309,0.0002649396,0.0000734879,0.71798515,0.001036872,0.27523467,0.0049034194,0.000009646127],"about_ca_topic_score_codex":0.0011202204,"about_ca_topic_score_gemma":0.000746942,"teacher_disagreement_score":0.002256433,"about_ca_system_score_codex":0.00050892093,"about_ca_system_score_gemma":0.00028952665,"threshold_uncertainty_score":0.007548511},"labels":[],"label_agreement":null},{"id":"W2142664960","doi":"10.1016/j.jde.2006.11.009","title":"The loop quantities and bifurcations of homoclinic loops","year":2007,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China","keywords":"Homoclinic orbit; Loop (graph theory); Mathematics; Homoclinic bifurcation; Planar; Limit (mathematics); Vector field; Mathematical analysis; Sequence (biology); Stability (learning theory); Bifurcation; Combinatorics; Physics; Geometry; Computer science","score_opus":0.05255086192164059,"score_gpt":0.35408183712518265,"score_spread":0.30153097520354205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142664960","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92321295,0.0007196694,0.053566944,0.00044769447,0.00012825929,0.00005610462,0.000112574584,0.00020689824,0.021548962],"genre_scores_gemma":[0.9967963,0.00014247962,0.0018895322,0.0000184986,0.000053989035,0.000017790948,0.000028067248,0.00002490408,0.0010284026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998646,0.000043104388,0.000009679301,0.000030659743,0.000030554016,0.000021437145],"domain_scores_gemma":[0.99852633,0.0006104339,0.00033413613,0.0001065977,0.0001934136,0.0002290703],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072292663,0.00033112612,0.0005170583,0.0031622523,0.0008248896,0.0020267274,0.0005187671,0.00073220464,0.0037075435],"category_scores_gemma":[0.004703792,0.0002486567,0.0003440826,0.0008377095,0.001662758,0.0022328706,0.0009164739,0.00077072415,0.0002241215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016397495,0.00008057974,0.0028216061,0.00006593545,0.000031008713,0.00022209431,0.0005122964,0.0169018,0.008289832,0.95158273,0.0009161174,0.018412057],"study_design_scores_gemma":[0.000046711393,0.00008388268,0.0041362103,0.000028817572,0.000024049872,0.00018485059,0.00023181525,0.109662734,0.0016848352,0.8829026,0.00096506265,0.000048417278],"about_ca_topic_score_codex":0.00033986705,"about_ca_topic_score_gemma":0.00028736296,"teacher_disagreement_score":0.0037075435,"about_ca_system_score_codex":0.0006010592,"about_ca_system_score_gemma":0.00028085714,"threshold_uncertainty_score":0.012403011},"labels":[],"label_agreement":null},{"id":"W2142826783","doi":"10.1016/j.chaos.2005.09.008","title":"Limit cycles in generalized Liénard systems","year":2005,"lang":"fr","type":"article","venue":"Chaos Solitons & Fractals","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Limit (mathematics); Limit cycle; Mathematics; Nonlinear system; Dynamical systems theory; Liénard equation; Mathematical proof; Statistical physics; Pure mathematics; Mathematical physics; Physics; Mathematical analysis; Quantum mechanics; Geometry; Differential equation","score_opus":0.04874622491152298,"score_gpt":0.33205653735093826,"score_spread":0.2833103124394153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142826783","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9081626,0.0022436727,0.04253542,0.0014855922,0.000137391,0.000059611986,0.00008001942,0.00019101723,0.045104593],"genre_scores_gemma":[0.98819494,0.00070269813,0.004096239,0.000102956496,0.00007748762,0.000055263106,0.000057398975,0.000035546927,0.0066775167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979573,0.000071942275,0.000012621562,0.00002574656,0.000058929574,0.00003506548],"domain_scores_gemma":[0.99934584,0.00019850627,0.000118624535,0.00005163418,0.00012243677,0.00016283427],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005007765,0.0003457227,0.00069111853,0.0017552177,0.0013301261,0.0023979032,0.0007007682,0.0009368521,0.0032137623],"category_scores_gemma":[0.002522847,0.00038055636,0.0003975696,0.00093511713,0.002075417,0.00204565,0.0012353914,0.00072458404,0.0002680401],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017862003,0.00001871508,0.00047849893,0.000028544653,0.000013630281,0.00011643247,0.00028693333,0.012210145,0.0008703362,0.9824386,0.0007798158,0.0027404227],"study_design_scores_gemma":[0.0000120603745,0.000008516341,0.00024189998,0.00000964784,0.0000043305613,0.0000517501,0.0000906052,0.04522569,0.00013435786,0.95309275,0.0011200367,0.000008411536],"about_ca_topic_score_codex":0.0034240088,"about_ca_topic_score_gemma":0.002354413,"teacher_disagreement_score":0.0034240088,"about_ca_system_score_codex":0.0012981583,"about_ca_system_score_gemma":0.00060897897,"threshold_uncertainty_score":0.010751128},"labels":[],"label_agreement":null},{"id":"W2143586384","doi":"10.1142/s0218127410027830","title":"FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS","year":2010,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Parametric statistics; Degenerate energy levels; Nonlinear system; Mathematics; Applied mathematics; Decomposition; Planar; Computer science; Physics","score_opus":0.017422094537023883,"score_gpt":0.3751313838570078,"score_spread":0.3577092893199839,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2143586384","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0039056786,0.000059306465,0.99256504,0.00006948675,0.00003185944,0.000019699835,0.000047198224,0.00049084076,0.0028108861],"genre_scores_gemma":[0.15151687,0.00021561614,0.8435989,0.00008381969,0.00008324246,0.00011582901,0.00025282477,0.00039725334,0.0037356706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936014,0.00017068889,0.00004036516,0.00008395438,0.00028157758,0.00006321654],"domain_scores_gemma":[0.99937433,0.0002103062,0.000039406008,0.00013980517,0.00019120531,0.00004493128],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009392854,0.0006593836,0.00051722245,0.0014603685,0.0004791193,0.0013422116,0.0010476366,0.0003619439,0.0051716496],"category_scores_gemma":[0.0027171487,0.00027116368,0.00088935054,0.00084056973,0.0014198418,0.002538432,0.0013722922,0.0015423915,0.0016303073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034339104,0.0000311299,0.00031174332,0.00009493744,0.000015249951,0.00009295675,0.00020066235,0.016646361,0.0052170325,0.8542078,0.0027745368,0.12037317],"study_design_scores_gemma":[0.00002429071,0.000035848814,0.00012088191,0.00003219074,0.000009045605,0.0001899838,0.0000604671,0.1855014,0.0066746385,0.7864798,0.020841932,0.000029682944],"about_ca_topic_score_codex":0.0008508453,"about_ca_topic_score_gemma":0.00082227786,"teacher_disagreement_score":0.0051716496,"about_ca_system_score_codex":0.0007620803,"about_ca_system_score_gemma":0.00077380514,"threshold_uncertainty_score":0.017300904},"labels":[],"label_agreement":null},{"id":"W2144988100","doi":"10.1109/cdc.2010.5718120","title":"On the endpoint maps of fully nonlinear control systems that use locally L&lt;sup&gt;p&lt;/sup&gt; controls","year":2010,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Nonlinear system; Affine transformation; Differentiable function; Point (geometry); Control (management); Mathematics; Pure mathematics; Applied mathematics; Discrete mathematics; Computer science; Control theory (sociology); Algorithm; Physics; Artificial intelligence; Geometry","score_opus":0.025943179034671648,"score_gpt":0.2589028175670853,"score_spread":0.23295963853241364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2144988100","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32011676,0.00032347668,0.65386456,0.00023625571,0.000049948645,0.00007034302,0.00015496725,0.00017638081,0.025007319],"genre_scores_gemma":[0.9723857,0.0002606799,0.018439695,0.00004756311,0.000028987948,0.00008293492,0.00010936808,0.000056324447,0.008588689],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997588,0.000044888977,0.000009753534,0.00005759897,0.00009320463,0.000035816374],"domain_scores_gemma":[0.9992717,0.0002701148,0.00018263953,0.00006528779,0.0001502455,0.000060128154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053431967,0.0007178153,0.00039126014,0.00059838983,0.0004461067,0.0013254225,0.00059278146,0.0005459249,0.002990151],"category_scores_gemma":[0.002053554,0.00023272522,0.0005829475,0.00022872945,0.0013320645,0.0012591885,0.001286836,0.0008379451,0.00026264417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014707477,0.00011306863,0.0016431358,0.00017764492,0.00005264728,0.00057176454,0.00063851953,0.3308685,0.036263905,0.6023557,0.00093292125,0.026235087],"study_design_scores_gemma":[0.00002028127,0.00024370282,0.0012084035,0.000028106831,0.000022027121,0.0001626096,0.00011165107,0.82894224,0.0061752237,0.1607277,0.0023212621,0.000036826834],"about_ca_topic_score_codex":0.0009411132,"about_ca_topic_score_gemma":0.0006519454,"teacher_disagreement_score":0.002990151,"about_ca_system_score_codex":0.000522127,"about_ca_system_score_gemma":0.0004403214,"threshold_uncertainty_score":0.01000309},"labels":[],"label_agreement":null},{"id":"W2145011665","doi":"10.1016/s0377-0427(01)00573-8","title":"Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling","year":2002,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Computation; Mathematics; Symbolic computation; Nonlinear system; Applied mathematics; Perturbation (astronomy); Poincaré–Lindstedt method; Perturbation theory (quantum mechanics); Singularity; Mathematical analysis; Algorithm; Singular perturbation","score_opus":0.02885311015226857,"score_gpt":0.2511107414687332,"score_spread":0.22225763131646462,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145011665","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.463599,0.00037121843,0.51640105,0.0005919682,0.00022573757,0.00012814219,0.00010788596,0.0010312272,0.017543664],"genre_scores_gemma":[0.88387626,0.00020616692,0.10984376,0.00008531387,0.00009708711,0.000076139964,0.0001350179,0.00043332548,0.0052469405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997665,0.00008134859,0.000012869731,0.00003207878,0.00007465579,0.00003258389],"domain_scores_gemma":[0.9990601,0.00035629698,0.00010984525,0.0001470541,0.0001316029,0.0001951663],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008695749,0.00086813036,0.0012480541,0.0018977897,0.000977383,0.0015740269,0.0017323105,0.0014650676,0.0038619011],"category_scores_gemma":[0.0047228523,0.0006486909,0.0008256595,0.0010864338,0.0017851356,0.0037182977,0.0015614718,0.0014054372,0.0004918074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019993432,0.000112748276,0.0014081149,0.00014654553,0.000052369553,0.00035334265,0.00031297826,0.16227026,0.0065598525,0.800326,0.0016852437,0.026572572],"study_design_scores_gemma":[0.000025853726,0.000025639274,0.0002603011,0.000007917569,0.000010140099,0.000071676935,0.00005160767,0.7154788,0.001147576,0.2822014,0.0006908583,0.000028211325],"about_ca_topic_score_codex":0.00095903664,"about_ca_topic_score_gemma":0.0013134793,"teacher_disagreement_score":0.0038619011,"about_ca_system_score_codex":0.0008332109,"about_ca_system_score_gemma":0.0007047454,"threshold_uncertainty_score":0.012919366},"labels":[],"label_agreement":null},{"id":"W2148704323","doi":"10.1142/s0218127404009247","title":"A STUDY ON THE EXISTENCE OF LIMIT CYCLES OF A PLANAR SYSTEM WITH THIRD-DEGREE POLYNOMIALS","year":2004,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Planar; Limit cycle; Degree (music); Degenerate energy levels; Limit (mathematics); Perturbation (astronomy); Dynamical systems theory; Mathematical analysis; Polynomial; Amplitude; Differential equation; Focus (optics); Applied mathematics; Physics; Computer science","score_opus":0.09148135969562031,"score_gpt":0.33052120238464067,"score_spread":0.23903984268902034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2148704323","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.703835,0.0015292005,0.27934745,0.00020910756,0.000026190484,0.00007409028,0.000047649246,0.00010203926,0.014829262],"genre_scores_gemma":[0.98265344,0.0006532708,0.014374143,0.000015734437,0.000013276677,0.000029203999,0.00003242598,0.000010954173,0.0022175638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99987614,0.000021230924,0.000004810833,0.000023921755,0.00004559975,0.000028307508],"domain_scores_gemma":[0.9995689,0.00017445427,0.00008847078,0.000042386124,0.00007249774,0.00005340192],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022783988,0.00032720974,0.00048251337,0.00065494125,0.0005652916,0.0005505111,0.00043305688,0.00044538078,0.0014029171],"category_scores_gemma":[0.0015680112,0.00020223027,0.00038136006,0.0004788239,0.00093879236,0.00076444965,0.00075952907,0.0003734731,0.00013929416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001507504,0.000081016115,0.0067166327,0.0005780474,0.000098735065,0.002046534,0.0011592276,0.3029493,0.10518566,0.51743823,0.00081858196,0.06277734],"study_design_scores_gemma":[0.00001605996,0.00031248588,0.0028216995,0.00004489623,0.00004390601,0.0012938736,0.00029804723,0.85291255,0.021412227,0.11587808,0.004915383,0.00005081174],"about_ca_topic_score_codex":0.0008124719,"about_ca_topic_score_gemma":0.00042085716,"teacher_disagreement_score":0.0014029171,"about_ca_system_score_codex":0.0003770025,"about_ca_system_score_gemma":0.0003534339,"threshold_uncertainty_score":0.00469321},"labels":[],"label_agreement":null},{"id":"W2153641542","doi":"10.1142/s0218127414500837","title":"Seven Limit Cycles Around a Focus Point in a Simple Three-Dimensional Quadratic Vector Field","year":2014,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Center manifold; Vector field; Focus (optics); Quadratic equation; Limit (mathematics); Manifold (fluid mechanics); Computation; Field (mathematics); Polynomial; Applied mathematics; Mathematical analysis; Pure mathematics; Geometry; Hopf bifurcation; Algorithm; Physics; Bifurcation","score_opus":0.024366123779600343,"score_gpt":0.3099338730791348,"score_spread":0.28556774929953443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153641542","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8968557,0.00035566287,0.08177541,0.00017903844,0.00004431981,0.00005399292,0.000030062334,0.00017673922,0.020529047],"genre_scores_gemma":[0.9863768,0.00013131642,0.009972017,0.00003276061,0.000012441038,0.000034067856,0.0000300992,0.00003308955,0.0033773317],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999136,0.000010496319,0.0000055215482,0.00001682944,0.00003149243,0.000022136359],"domain_scores_gemma":[0.9997371,0.00006543105,0.000054873453,0.000022743037,0.000054806667,0.00006510911],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022138009,0.0003321689,0.00030222302,0.0007572197,0.0008791303,0.00077538984,0.00039690064,0.0005177571,0.0038866817],"category_scores_gemma":[0.0009547239,0.00018125401,0.00036282744,0.00026057273,0.0011586457,0.0013721988,0.0011329494,0.0004746242,0.00043532817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021149413,0.00011662575,0.0063497876,0.0002498399,0.000050166134,0.0015209182,0.0016316876,0.05497164,0.068352,0.8054184,0.0017810032,0.059346393],"study_design_scores_gemma":[0.000055930628,0.00032902928,0.004072767,0.00007505552,0.000040196555,0.00087532535,0.00059193425,0.32533678,0.03870537,0.62009317,0.009725614,0.00009880617],"about_ca_topic_score_codex":0.00068314775,"about_ca_topic_score_gemma":0.0005148987,"teacher_disagreement_score":0.0038866817,"about_ca_system_score_codex":0.00051789975,"about_ca_system_score_gemma":0.00031509754,"threshold_uncertainty_score":0.013002217},"labels":[],"label_agreement":null},{"id":"W2154580401","doi":"10.1109/acc.2008.4587090","title":"Existence of optimal homoclinic orbits","year":2008,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Homoclinic orbit; Hamiltonian system; Symplectic geometry; Mathematics; Morse theory; Optimal control; Dynamical systems theory; Hamiltonian (control theory); Heteroclinic orbit; Homoclinic bifurcation; Mathematical analysis; Context (archaeology); Hamiltonian mechanics; Periodic orbits; Applied mathematics; Mathematical optimization; Bifurcation; Physics; Nonlinear system; Phase space","score_opus":0.1412859228193068,"score_gpt":0.35686909299514286,"score_spread":0.21558317017583606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2154580401","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5998391,0.0017493957,0.3620515,0.0012666999,0.00009786608,0.000104792714,0.000146557,0.00014320556,0.03460088],"genre_scores_gemma":[0.98666185,0.0003980268,0.0109264385,0.00003306674,0.000031628308,0.00005377263,0.000041377207,0.000014066182,0.0018398325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997712,0.00006120016,0.000011973585,0.000048200476,0.00005240261,0.00005508479],"domain_scores_gemma":[0.99954957,0.00020249767,0.000103569095,0.000029284107,0.00006956723,0.000045524426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049401476,0.00037998596,0.0005765422,0.0007602865,0.00057147606,0.0010697279,0.00036285527,0.00076289376,0.0017457122],"category_scores_gemma":[0.0017609475,0.00026397218,0.00028996836,0.00026425245,0.0013888963,0.00086493127,0.0008984186,0.0005134666,0.00012756526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000084371306,0.000047922487,0.0012150191,0.00027928388,0.000057534693,0.00041634036,0.00022740466,0.12760447,0.010778824,0.8297799,0.0016500552,0.027858889],"study_design_scores_gemma":[0.000039467468,0.00012642352,0.0010902318,0.0000762556,0.000024009174,0.00018307255,0.00023779037,0.56515306,0.0041740355,0.42688742,0.001981528,0.00002669237],"about_ca_topic_score_codex":0.00058022223,"about_ca_topic_score_gemma":0.0004751572,"teacher_disagreement_score":0.0017457122,"about_ca_system_score_codex":0.0005716425,"about_ca_system_score_gemma":0.00078281556,"threshold_uncertainty_score":0.005839944},"labels":[],"label_agreement":null},{"id":"W2156395865","doi":"10.1023/b:jogo.0000026448.63457.51","title":"Variational Analysis of the Abscissa Mapping for Polynomials via the Gauss-Lucas Theorem","year":2004,"lang":"en","type":"article","venue":"Journal of Global Optimization","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Lemma (botany); Pure mathematics; Discrete mathematics; Combinatorics","score_opus":0.02405172828966571,"score_gpt":0.30415340798696977,"score_spread":0.28010167969730404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2156395865","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2048132,0.002450762,0.74229276,0.0031496093,0.00036144382,0.000055963043,0.00021797852,0.00015996346,0.046498287],"genre_scores_gemma":[0.8970209,0.0017536094,0.06477607,0.00030605576,0.0005197066,0.00007625145,0.00017738463,0.00026663832,0.035103444],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996896,0.00012682776,0.0000086975,0.000042301464,0.000081060374,0.000051579776],"domain_scores_gemma":[0.99913836,0.00035271756,0.00011386796,0.0000551199,0.00018398427,0.00015587597],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011909911,0.0007241246,0.0009367602,0.0014444751,0.0010911729,0.0018585861,0.0013220136,0.0012140133,0.0039170166],"category_scores_gemma":[0.0034833646,0.00045729172,0.00080557104,0.0007776401,0.0023893837,0.002400713,0.0020752717,0.00204084,0.00046460237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011521182,0.000011235764,0.00013578424,0.000019347288,0.0000072598705,0.00002465931,0.000051271152,0.0108695,0.0007614039,0.98505753,0.0005980418,0.0024523372],"study_design_scores_gemma":[0.00000824693,0.000017018883,0.00021177485,0.000012449239,0.0000049155983,0.00003153843,0.000045128487,0.20884942,0.00017631671,0.7891135,0.0015163914,0.000013295997],"about_ca_topic_score_codex":0.0053067403,"about_ca_topic_score_gemma":0.0042840503,"teacher_disagreement_score":0.0053067403,"about_ca_system_score_codex":0.002099712,"about_ca_system_score_gemma":0.0016553608,"threshold_uncertainty_score":0.01523453},"labels":[],"label_agreement":null},{"id":"W2157139477","doi":"10.1007/s12346-015-0143-2","title":"Finite Cyclicity of Some Graphics Through a Nilpotent Point of Saddle Type Inside Quadratic Systems","year":2015,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; University of Alberta; Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Nilpotent; Quadratic equation; Vector field; Saddle; Saddle point; Type (biology); Limit (mathematics); Pure mathematics; Finite field; Point (geometry); Planar; Mathematical analysis; Combinatorics; Geometry; Computer science; Computer graphics (images); Mathematical optimization","score_opus":0.15248330930415294,"score_gpt":0.3927952685708804,"score_spread":0.24031195926672744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157139477","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7834011,0.0002545438,0.11724911,0.0010327956,0.00028409087,0.000117563606,0.00020180864,0.0005952674,0.09686368],"genre_scores_gemma":[0.97424126,0.00008931344,0.0109452605,0.0001523521,0.000101461286,0.000049542028,0.000105506864,0.00019182033,0.0141234305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963796,0.00008316852,0.0000139334925,0.00007424852,0.0000877122,0.0001030081],"domain_scores_gemma":[0.99926966,0.00020033047,0.00010014828,0.00009397085,0.00013591321,0.00019994474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003531636,0.0004498149,0.00056702003,0.0016550157,0.0025243787,0.0025002728,0.0008504158,0.0012055472,0.009420676],"category_scores_gemma":[0.0020660176,0.00042547798,0.0008411554,0.000671045,0.0034077584,0.0029287934,0.001617311,0.0015529047,0.00061534607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003058577,0.000015166461,0.00017132644,0.000016728816,0.0000046855575,0.00014228825,0.00041754078,0.001167731,0.0021246988,0.99391514,0.00047070868,0.0015233534],"study_design_scores_gemma":[0.00002265631,0.00003735722,0.00032573496,0.000010713093,0.0000061279743,0.00011455766,0.00020451774,0.009575321,0.00082604715,0.98679394,0.0020633843,0.000019618326],"about_ca_topic_score_codex":0.0018192633,"about_ca_topic_score_gemma":0.001394168,"teacher_disagreement_score":0.009420676,"about_ca_system_score_codex":0.001264328,"about_ca_system_score_gemma":0.00058501784,"threshold_uncertainty_score":0.03151524},"labels":[],"label_agreement":null},{"id":"W2167062899","doi":"10.1109/acc.2009.5160371","title":"Backstepping controller synthesis for piecewise polynomial systems: a sum of squares approach","year":2009,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Piecewise; Lyapunov function; Backstepping; Polynomial; Controller (irrigation); Control theory (sociology); Convex optimization; Explained sum of squares; Mathematics; Mathematical optimization; Function (biology); Computer science; Regular polygon; Nonlinear system; Adaptive control; Control (management); Artificial intelligence; Mathematical analysis","score_opus":0.04681760509525914,"score_gpt":0.31055969602696076,"score_spread":0.26374209093170164,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2167062899","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0030936566,0.000047671863,0.9960984,0.000019413092,0.000006602038,0.000011934446,0.000007959827,0.000075696305,0.0006386441],"genre_scores_gemma":[0.51064503,0.0004887454,0.4839604,0.000054383123,0.000024670577,0.00017666521,0.000088470064,0.00009094622,0.0044707237],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99981683,0.000041809217,0.00001270041,0.000037695117,0.000076921504,0.000014020302],"domain_scores_gemma":[0.99974316,0.00013526109,0.00003067178,0.00003052314,0.000052164356,0.000008185349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031213637,0.00053694466,0.0003970299,0.00021316358,0.00021216736,0.00045367223,0.00046336377,0.0003178874,0.0013300958],"category_scores_gemma":[0.0007259636,0.0002824668,0.00038658472,0.00026761598,0.00035271593,0.00046289538,0.0005564486,0.00080221315,0.0002633882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000760042,0.00003052732,0.00030076562,0.0002740187,0.00003194766,0.00009695413,0.00014370409,0.7685805,0.040922463,0.03352399,0.0006455787,0.15537363],"study_design_scores_gemma":[0.0000065295994,0.000057133304,0.000063398715,0.000005568044,0.00000596782,0.000022397977,0.000009348706,0.9897855,0.0042021563,0.0043204925,0.0015161678,0.000005432062],"about_ca_topic_score_codex":0.0015696865,"about_ca_topic_score_gemma":0.0011679456,"teacher_disagreement_score":0.0015696865,"about_ca_system_score_codex":0.00025616857,"about_ca_system_score_gemma":0.00045862602,"threshold_uncertainty_score":0.0044496655},"labels":[],"label_agreement":null},{"id":"W2168076987","doi":"10.1155/s0161171204407637","title":"On the Lagrange resolvents of a dihedral quintic polynomial","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; Okanagan University College","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quintic function; Mathematics; Quartic function; Dihedral angle; Polynomial; Quadratic equation; Field (mathematics); Generator (circuit theory); Lagrange polynomial; Pure mathematics; Mathematical analysis; Geometry; Physics","score_opus":0.054361157025508915,"score_gpt":0.34680016927635443,"score_spread":0.2924390122508455,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2168076987","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7075316,0.0012593898,0.124567546,0.0016736859,0.00057098165,0.000088075365,0.0001933233,0.00019589672,0.16391952],"genre_scores_gemma":[0.96458423,0.000759904,0.012417912,0.00020347949,0.00049448013,0.000044980137,0.00014266263,0.000097361626,0.021255074],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996234,0.00009849048,0.000013284667,0.000054681306,0.00013661639,0.00007357205],"domain_scores_gemma":[0.9995591,0.00013594478,0.000078113895,0.000041115345,0.000082565086,0.00010308949],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008795463,0.0007237794,0.00060911535,0.0021162683,0.0013252414,0.001787109,0.00080257823,0.0006626194,0.0051909094],"category_scores_gemma":[0.0018231084,0.00036428068,0.00052120787,0.0009053507,0.0029828986,0.0024608125,0.0015013961,0.001804955,0.0010918223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026835,0.000020173413,0.00014274153,0.000025011204,0.0000033864771,0.0001346064,0.00026792588,0.0014942202,0.0018381783,0.99129957,0.00047686853,0.0042704516],"study_design_scores_gemma":[0.000025167115,0.000053789572,0.00030861152,0.000026455044,0.0000054873262,0.0002207264,0.00013433711,0.015936565,0.0012338293,0.9783773,0.00365101,0.000026715627],"about_ca_topic_score_codex":0.001046621,"about_ca_topic_score_gemma":0.000808069,"teacher_disagreement_score":0.0051909094,"about_ca_system_score_codex":0.00081298925,"about_ca_system_score_gemma":0.0006412563,"threshold_uncertainty_score":0.017365336},"labels":[],"label_agreement":null},{"id":"W2168891303","doi":"10.1142/s0218127413500053","title":"EIGHT LIMIT CYCLES AROUND A CENTER IN QUADRATIC HAMILTONIAN SYSTEM WITH THIRD-ORDER PERTURBATION","year":2013,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Perturbation (astronomy); Quadratic equation; Third order; Hamiltonian (control theory); Planar; Amplitude; Computation; Hamiltonian system; Mathematical analysis; Limit cycle; Limit (mathematics); Physics; Geometry; Mathematical optimization; Quantum mechanics; Computer science; Algorithm","score_opus":0.017350264652073302,"score_gpt":0.27295832783759016,"score_spread":0.2556080631855169,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2168891303","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8031912,0.0005321205,0.17458537,0.00042168685,0.0001007802,0.000070074944,0.000069413276,0.0002487796,0.020780504],"genre_scores_gemma":[0.98758054,0.00009832527,0.010197831,0.000045280398,0.000014866558,0.000030942283,0.00003237007,0.000029116467,0.0019707456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99986386,0.000021508393,0.0000067095375,0.000028841227,0.000045151963,0.000033947996],"domain_scores_gemma":[0.9997271,0.00006157964,0.00005417184,0.00003257235,0.000058809987,0.00006575612],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021318533,0.00031846375,0.0003984764,0.0005519899,0.0010881735,0.0005624469,0.0005614873,0.0006228072,0.003466191],"category_scores_gemma":[0.0008337787,0.00019117739,0.00047167004,0.0002472265,0.0012644129,0.0012235577,0.0011219468,0.0005048419,0.00025562252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003355219,0.00010348363,0.0048304857,0.00027124558,0.00007825521,0.00198154,0.0015435384,0.10467498,0.07075098,0.7710329,0.0025052715,0.041891765],"study_design_scores_gemma":[0.00005125016,0.00020962328,0.002345693,0.000036712623,0.000043534666,0.0008869645,0.0004644526,0.6153365,0.02042834,0.35503298,0.005075867,0.0000881],"about_ca_topic_score_codex":0.00079464255,"about_ca_topic_score_gemma":0.00050072593,"teacher_disagreement_score":0.003466191,"about_ca_system_score_codex":0.0004315632,"about_ca_system_score_gemma":0.00031806808,"threshold_uncertainty_score":0.011595547},"labels":[],"label_agreement":null},{"id":"W2169781449","doi":"10.1142/s0218127407018300","title":"LIMIT CYCLES IN TWO TYPES OF SYMMETRIC LIÉNARD SYSTEMS","year":2007,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Limit (mathematics); Mathematics; Singularity; Limit cycle; Polynomial; Nonlinear system; Liénard equation; Hopf bifurcation; Mathematical analysis; Pure mathematics; Physics; Bifurcation; Quantum mechanics; Differential equation","score_opus":0.03645210477501562,"score_gpt":0.3761083598889664,"score_spread":0.3396562551139508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169781449","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9665069,0.00048808975,0.020857193,0.00026473534,0.000026457015,0.000028434084,0.000047932597,0.00004296478,0.0117372135],"genre_scores_gemma":[0.99569184,0.00011821977,0.0027597514,0.00001954245,0.000011931384,0.000017144643,0.00003872414,0.0000036078468,0.0013393015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998122,0.0000423121,0.000013476059,0.000030061543,0.000058224432,0.000043690216],"domain_scores_gemma":[0.9995795,0.00008490466,0.000113479844,0.000039921542,0.00007582109,0.00010646871],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021120564,0.00021998568,0.00042838135,0.00082866324,0.0007603764,0.00085011485,0.000365101,0.00065107737,0.0012615288],"category_scores_gemma":[0.0010672096,0.00018542295,0.00038970824,0.0003012151,0.0010114575,0.00091049273,0.00067275343,0.00033995567,0.00007918009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023776248,0.000093448056,0.0065419776,0.00014554992,0.00006505671,0.0011662035,0.00076361274,0.050301824,0.021963935,0.9030991,0.0012809143,0.014340506],"study_design_scores_gemma":[0.00010065936,0.00016146243,0.0053916364,0.000028598044,0.000048020956,0.0012453853,0.00051821076,0.36340436,0.0061929272,0.61866885,0.004169826,0.00007009633],"about_ca_topic_score_codex":0.00086803926,"about_ca_topic_score_gemma":0.0006464438,"teacher_disagreement_score":0.0012615288,"about_ca_system_score_codex":0.00050549296,"about_ca_system_score_gemma":0.00032764708,"threshold_uncertainty_score":0.0042202473},"labels":[],"label_agreement":null},{"id":"W2184918219","doi":"","title":"THREE NESTED LIMIT CYCLES IN DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH TWO ZONES","year":2012,"lang":"en","type":"article","venue":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":106,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Institució Catalana de Recerca i Estudis Avançats; Generalitat de Catalunya","keywords":"Piecewise linear function; Piecewise; Limit (mathematics); Focus (optics); Mathematics; Limit cycle; Planar; Differential (mechanical device); Linear system; Mathematical analysis; Line (geometry); Real line; Dynamical systems theory; Dynamical system (definition); Piecewise linear manifold; Applied mathematics; Computer science; Geometry; Physics","score_opus":0.03352079075313815,"score_gpt":0.2772780577988479,"score_spread":0.24375726704570974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2184918219","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68969375,0.0011334806,0.25752977,0.0009858445,0.0001637912,0.00017385672,0.00018124779,0.00022927999,0.049908966],"genre_scores_gemma":[0.97420305,0.00017842451,0.0151945455,0.000053850585,0.000015923244,0.00009760405,0.000063003965,0.000027942755,0.010165721],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959725,0.00009342681,0.00003351374,0.00007596618,0.000117356816,0.00008246931],"domain_scores_gemma":[0.99869734,0.00044738082,0.0002463983,0.00007178912,0.00022379389,0.0003132413],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000606473,0.0005033526,0.00075527426,0.0011391704,0.0014891812,0.0032163588,0.0011083954,0.0013603171,0.0070706713],"category_scores_gemma":[0.0028306446,0.00047090516,0.0010497606,0.00057072844,0.002136268,0.001494473,0.0025229743,0.0010351455,0.0003333379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014579996,0.00009943015,0.0023844684,0.00017960469,0.00007381134,0.0011995946,0.0013161832,0.076743565,0.005742269,0.90073705,0.0009800661,0.010398183],"study_design_scores_gemma":[0.00008640528,0.00013166176,0.0013030401,0.00006949716,0.000057920206,0.00062221533,0.0007547274,0.57339627,0.0027817187,0.41472584,0.0059902705,0.00008047132],"about_ca_topic_score_codex":0.0030872019,"about_ca_topic_score_gemma":0.0015713479,"teacher_disagreement_score":0.0070706713,"about_ca_system_score_codex":0.0016054598,"about_ca_system_score_gemma":0.0008790838,"threshold_uncertainty_score":0.023653746},"labels":[],"label_agreement":null},{"id":"W2195571328","doi":"10.1007/bfb0041126","title":"Control systems with delays: Areas of applications and present status of the linear theory","year":2006,"lang":"en","type":"book-chapter","venue":"Lecture notes in control and information sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Controllability; Observability; Operator (biology); Hilbert space; Mathematics; Algebraic Riccati equation; Linear system; Algebraic number; Construct (python library); Applied mathematics; Riccati equation; Computer science; Algebra over a field; Control (management); Control theory (sociology); Differential equation; Pure mathematics; Mathematical analysis; Artificial intelligence","score_opus":0.013383479054690626,"score_gpt":0.2535651687811871,"score_spread":0.2401816897264965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2195571328","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009412201,0.56188756,0.3163314,0.004544401,0.0035357792,0.000055210527,0.00024733567,0.0004846626,0.10350144],"genre_scores_gemma":[0.22814567,0.60465103,0.07337103,0.0016727428,0.009534565,0.00016064118,0.00037517268,0.00016293595,0.08192623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99981886,0.000030202693,0.000012164508,0.00004319476,0.0000764959,0.000019072484],"domain_scores_gemma":[0.9996427,0.000230596,0.000024192435,0.000029696675,0.000056924626,0.000015794576],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037519046,0.00080911646,0.0007752805,0.0007074178,0.0002861529,0.0017983555,0.00084729283,0.0007393436,0.00532143],"category_scores_gemma":[0.0006135017,0.00031327907,0.00033362082,0.0017243606,0.0011103187,0.0017414379,0.0005340277,0.0012503136,0.0013092957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007342836,0.00009197534,0.00029272214,0.002094087,0.00005136794,0.00009863543,0.00027878094,0.019449946,0.0065744887,0.5059733,0.02869824,0.43632308],"study_design_scores_gemma":[0.00003430942,0.00019627914,0.0006712512,0.00052422425,0.00006733692,0.00033143145,0.00016370842,0.03793897,0.0030269038,0.5618705,0.3951269,0.000048168065],"about_ca_topic_score_codex":0.0005755114,"about_ca_topic_score_gemma":0.00044774843,"teacher_disagreement_score":0.00532143,"about_ca_system_score_codex":0.00071356783,"about_ca_system_score_gemma":0.000694738,"threshold_uncertainty_score":0.017802},"labels":[],"label_agreement":null},{"id":"W2204927056","doi":"10.1090/mosc/248","title":"Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems","year":2015,"lang":"en","type":"preprint","venue":"Transactions of the Moscow Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Limit (mathematics); Nilpotent; Saddle; Pure mathematics; Boundary (topology); Saddle point; Vector field; Limit point; Mathematical analysis; Geometry","score_opus":0.06646307534382605,"score_gpt":0.3143004950463188,"score_spread":0.24783741970249273,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2204927056","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8582151,0.00032638703,0.107535,0.00029283497,0.000071347466,0.000056014833,0.00010954774,0.0003058038,0.03308801],"genre_scores_gemma":[0.9744322,0.00014674358,0.01822243,0.000058576057,0.00004421553,0.0000385729,0.00011856071,0.00009698317,0.0068416293],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99975115,0.000039580587,0.000010674469,0.00005840016,0.000081789025,0.00005836937],"domain_scores_gemma":[0.99956375,0.0001263327,0.00008043953,0.00006402193,0.00007622052,0.0000891813],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021603364,0.00035382883,0.00043698354,0.0011793099,0.0016083408,0.00094001775,0.00048118667,0.000552859,0.0060295686],"category_scores_gemma":[0.0015337616,0.00026622013,0.0006335938,0.00029939675,0.0017392254,0.0014020904,0.0013102588,0.0010167892,0.00045419167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009469941,0.000031246724,0.0022375605,0.00008643358,0.000017265183,0.00067330373,0.0009699412,0.00824809,0.017123615,0.95385575,0.0011135293,0.015548533],"study_design_scores_gemma":[0.00003678364,0.00016813922,0.0023538433,0.000049677597,0.000026155221,0.0007770643,0.0004051481,0.058113102,0.013285619,0.91396725,0.010767557,0.000049698257],"about_ca_topic_score_codex":0.0010629714,"about_ca_topic_score_gemma":0.0008326866,"teacher_disagreement_score":0.0060295686,"about_ca_system_score_codex":0.0007905629,"about_ca_system_score_gemma":0.00029621652,"threshold_uncertainty_score":0.020170927},"labels":[],"label_agreement":null},{"id":"W2218297203","doi":"10.1016/j.jmaa.2015.12.002","title":"Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka–Volterra systems","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Heteroclinic cycle; Hopf bifurcation; Limit cycle; Simplex; Mathematical analysis; Limit (mathematics); Infinite-period bifurcation; Heteroclinic bifurcation; Bifurcation; Homoclinic orbit; Combinatorics; Nonlinear system; Physics","score_opus":0.06698230218893131,"score_gpt":0.3079996123432602,"score_spread":0.24101731015432887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2218297203","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92866325,0.00044304796,0.041269537,0.0006987207,0.000117005504,0.000090370275,0.000046411173,0.00015664982,0.028514903],"genre_scores_gemma":[0.9908099,0.00007569083,0.0045109903,0.00005380901,0.000018367453,0.000046128156,0.000028142902,0.000021911486,0.0044350736],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9998211,0.000046565037,0.000012936663,0.000029572411,0.00004490081,0.000044848897],"domain_scores_gemma":[0.99938095,0.00011876069,0.00010814377,0.00003915311,0.00009174726,0.00026117152],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046366022,0.00059284497,0.0011142934,0.001403052,0.0029143556,0.0028383634,0.0014175457,0.0022089384,0.005936962],"category_scores_gemma":[0.001470707,0.00048327105,0.0010960511,0.0005438184,0.002626019,0.0012316023,0.0020690628,0.00078809954,0.00054209604],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006191136,0.000282783,0.0038731673,0.00024479377,0.00027353654,0.002502569,0.0019642103,0.1444528,0.024026753,0.8053228,0.0024864434,0.013950944],"study_design_scores_gemma":[0.00013716792,0.0002766902,0.0024380027,0.00006204314,0.00009959547,0.000580514,0.00093717425,0.64991903,0.0027722495,0.34002608,0.0026302584,0.0001211697],"about_ca_topic_score_codex":0.0025836674,"about_ca_topic_score_gemma":0.0019768444,"teacher_disagreement_score":0.005936962,"about_ca_system_score_codex":0.0015210797,"about_ca_system_score_gemma":0.0008340354,"threshold_uncertainty_score":0.019861102},"labels":[],"label_agreement":null},{"id":"W2225712937","doi":"10.1142/s0218127415501503","title":"Bifurcation Diagrams and Quotient Topological Spaces Under the Action of the Affine Group of a Family of Planar Quadratic Vector Fields","year":2015,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Pure mathematics; Quotient; Phase portrait; Phase space; Invariant (physics); Affine transformation; Homogeneous space; Quadratic differential; Gravitational singularity; Quadratic equation; Bifurcation; Mathematical analysis; Physics; Geometry; Mathematical physics","score_opus":0.0955167342777198,"score_gpt":0.34861917915132995,"score_spread":0.25310244487361017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2225712937","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9471861,0.00028634936,0.034812268,0.00022494988,0.000056607725,0.000049090922,0.00010227779,0.00016296054,0.017119497],"genre_scores_gemma":[0.9926035,0.00013361435,0.004382732,0.00002392199,0.00003573048,0.0000420723,0.00010193762,0.00003124524,0.0026453119],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998122,0.000036102447,0.0000133367,0.000040650153,0.000058567264,0.00003925939],"domain_scores_gemma":[0.99972326,0.000055282497,0.00009630265,0.000024715637,0.00004217149,0.000058247355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029398434,0.00035038212,0.00026673614,0.0016425593,0.0007499601,0.00118615,0.00036931527,0.0005372608,0.003762374],"category_scores_gemma":[0.00089269935,0.00017122133,0.00048737027,0.00033908724,0.0010184097,0.0012755856,0.0006550314,0.00044938378,0.00031769168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013631058,0.000061438295,0.0023608713,0.00007368103,0.000031854317,0.0011329361,0.0008628702,0.015051063,0.028259246,0.93914,0.0005187335,0.012370925],"study_design_scores_gemma":[0.000106478205,0.00020233222,0.004998154,0.00004415384,0.000043298092,0.0013198971,0.0005189113,0.16024868,0.012883261,0.8134669,0.006102979,0.00006495704],"about_ca_topic_score_codex":0.00050544017,"about_ca_topic_score_gemma":0.0002425668,"teacher_disagreement_score":0.003762374,"about_ca_system_score_codex":0.0007215061,"about_ca_system_score_gemma":0.00024303234,"threshold_uncertainty_score":0.012586355},"labels":[],"label_agreement":null},{"id":"W2232363297","doi":"10.1007/978-1-4614-1260-1_21","title":"A variant of the Lang–Trotter conjecture","year":2011,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Queen's University","funders":"","keywords":"Conjecture; Mathematics; Modular form; Automorphism; Fourier series; Distribution (mathematics); Value (mathematics); Elliptic curve; Pure mathematics; Mathematical analysis; Statistics","score_opus":0.051650627254193414,"score_gpt":0.26050729103239195,"score_spread":0.20885666377819853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2232363297","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.022292018,0.0075146463,0.09362586,0.017268006,0.005616374,0.000041037165,0.00035695604,0.00038846707,0.8528967],"genre_scores_gemma":[0.5658344,0.01129558,0.042374466,0.0100903865,0.010147859,0.00021915781,0.0007482067,0.00068546314,0.35860455],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994392,0.00015971599,0.00002653513,0.00015414,0.00015179864,0.00006861474],"domain_scores_gemma":[0.99935025,0.00027521746,0.00005216619,0.00017894826,0.00010311751,0.000040189527],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011026915,0.00061709125,0.00070306094,0.00095148984,0.0013850366,0.002432839,0.00089386624,0.0018012208,0.010885367],"category_scores_gemma":[0.0026598182,0.00033609397,0.0010373667,0.0008021195,0.005175999,0.008423075,0.0016149007,0.0041273283,0.0038961526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010116077,0.0000055876194,0.000028834735,0.000022916644,0.0000031540528,0.000030237341,0.000080271835,0.00025449393,0.00015004305,0.9887948,0.0061176275,0.0045019356],"study_design_scores_gemma":[0.0000047396024,0.0000046979267,0.000052113235,0.00001471074,0.0000023325902,0.000046264136,0.000014554421,0.0005989368,0.000081076534,0.98283744,0.01633749,0.000005719157],"about_ca_topic_score_codex":0.0008847935,"about_ca_topic_score_gemma":0.00088736136,"teacher_disagreement_score":0.010885367,"about_ca_system_score_codex":0.0010207561,"about_ca_system_score_gemma":0.0006055872,"threshold_uncertainty_score":0.03641516},"labels":[],"label_agreement":null},{"id":"W2238758634","doi":"10.1007/978-1-4614-6992-6_1","title":"Introduction to Dynamic Bifurcation Theory","year":2013,"lang":"en","type":"book-chapter","venue":"Applied mathematical sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Bifurcation; Mathematics; Lambda; Saddle-node bifurcation; Linearization; Bifurcation theory; Zero (linguistics); Transcritical bifurcation; Vector field; Pure mathematics; Mathematical analysis; Control theory (sociology); Mathematical physics; Physics; Geometry; Nonlinear system; Control (management); Computer science; Quantum mechanics","score_opus":0.028954003344009133,"score_gpt":0.296102312544363,"score_spread":0.2671483092003538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2238758634","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0006206653,0.021893024,0.057661124,0.0018631744,0.0026723177,0.000046516034,0.0003389923,0.0004907352,0.9144135],"genre_scores_gemma":[0.010612335,0.023962867,0.014556881,0.0010141872,0.0015195997,0.00010350329,0.00044005114,0.00041524848,0.94737536],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984634,0.000016478365,0.0000061244314,0.000029429728,0.00008667094,0.000015015717],"domain_scores_gemma":[0.99989724,0.00003640113,0.00000509603,0.0000145033855,0.000036237085,0.000010461152],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020093536,0.0010524929,0.0006114513,0.0016344003,0.0007085648,0.0015611033,0.0008280129,0.0008265939,0.07277507],"category_scores_gemma":[0.00043772146,0.00038809996,0.0004765756,0.0014014569,0.0009669533,0.0024350202,0.0010260176,0.0017805361,0.03696056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009501706,0.000036343332,0.00005417155,0.000256729,0.0000078565445,0.00007222112,0.00019252895,0.0019302958,0.0011300521,0.49732715,0.25586295,0.24312018],"study_design_scores_gemma":[0.0000018341484,0.000005702466,0.00006417404,0.00009595749,0.000002733087,0.000081189224,0.000020955975,0.00059719314,0.00020835642,0.13124007,0.8676756,0.00000621378],"about_ca_topic_score_codex":0.00088565465,"about_ca_topic_score_gemma":0.0016647808,"teacher_disagreement_score":0.07277507,"about_ca_system_score_codex":0.0010342052,"about_ca_system_score_gemma":0.0008696015,"threshold_uncertainty_score":0.24345684},"labels":[],"label_agreement":null},{"id":"W2249628603","doi":"10.48550/arxiv.1207.2408","title":"Variational representations for N-cyclically monotone vector fields","year":2012,"lang":"en","type":"preprint","venue":"SPIRE (Sciences Po)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission","keywords":"Monotone polygon; Mathematics; Pure mathematics; Vector (molecular biology); Geometry; Biology; Genetics","score_opus":0.10501132663117645,"score_gpt":0.39756435508554916,"score_spread":0.2925530284543727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2249628603","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27464613,0.001809207,0.6368625,0.0032419204,0.00029280866,0.00008345237,0.0005747992,0.00019474389,0.08229437],"genre_scores_gemma":[0.87123394,0.00093872944,0.084737815,0.0006619441,0.00032212803,0.00024242517,0.000712335,0.0002113607,0.040939324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994981,0.00016472493,0.000017055403,0.00008339816,0.00011070959,0.00012594656],"domain_scores_gemma":[0.99935013,0.00022286191,0.00009656784,0.00006832975,0.00010188737,0.000160205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012282559,0.0006478334,0.000552283,0.0009080553,0.000588445,0.0017298177,0.001221904,0.0011874773,0.0050738375],"category_scores_gemma":[0.0021569068,0.00036173058,0.00085501996,0.0005001771,0.0017873624,0.0018253244,0.0018374921,0.0015108609,0.0004814048],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010217744,0.00001048048,0.0001342648,0.00001210329,0.00000665284,0.000020361962,0.000046658006,0.011897837,0.00031475973,0.9853059,0.0005996054,0.0016411984],"study_design_scores_gemma":[0.000014430025,0.000019145229,0.00018410146,0.000017498138,0.0000037528982,0.000020283447,0.000061118604,0.30689782,0.00013118348,0.69100046,0.001637308,0.000012970281],"about_ca_topic_score_codex":0.0036219333,"about_ca_topic_score_gemma":0.004402727,"teacher_disagreement_score":0.0050738375,"about_ca_system_score_codex":0.0021661546,"about_ca_system_score_gemma":0.0012474136,"threshold_uncertainty_score":0.016973674},"labels":[],"label_agreement":null},{"id":"W2254795344","doi":"10.1063/1.4967443","title":"Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of Victoria","funders":"","keywords":"Isosceles triangle; Equilateral triangle; Gaussian curvature; Three-body problem; Celestial mechanics; Mathematics; Kepler problem; Lagrangian; Curvature; n-body problem; Mathematical analysis; Euclidean space; Euclidean geometry; Classical mechanics; Hyperbolic space; Lagrangian point; Mathematical physics; Geometry; Physics","score_opus":0.03852882970000007,"score_gpt":0.29943660707812375,"score_spread":0.26090777737812365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2254795344","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9343843,0.00019083424,0.04435295,0.0007695551,0.000057352903,0.00004413983,0.00005790684,0.00007087435,0.020071957],"genre_scores_gemma":[0.9915515,0.00008647442,0.006008711,0.0000722111,0.000016454584,0.000034694443,0.00005243308,0.000023140992,0.0021543894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99989426,0.000028419954,0.0000061890314,0.00001436733,0.00002501569,0.00003167471],"domain_scores_gemma":[0.9997093,0.00007207711,0.00006733643,0.000032191438,0.000038977956,0.00008011169],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003663677,0.00021294785,0.0003058136,0.0007154932,0.0011891169,0.0010382081,0.0004649526,0.001262746,0.004253983],"category_scores_gemma":[0.0018518901,0.00021080284,0.00053240126,0.00024502302,0.0014347532,0.0012987643,0.0014759332,0.000651979,0.00034178866],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001780776,0.00007871451,0.003748788,0.00007495106,0.000028971068,0.00076840917,0.001106268,0.06284529,0.009854438,0.90886307,0.0015505676,0.010902378],"study_design_scores_gemma":[0.00006226832,0.00009391948,0.0030870626,0.000056805926,0.000014953264,0.00041236074,0.0009606537,0.52396405,0.002290695,0.466805,0.0022148115,0.000037391485],"about_ca_topic_score_codex":0.0010689645,"about_ca_topic_score_gemma":0.0007080434,"teacher_disagreement_score":0.004253983,"about_ca_system_score_codex":0.0007664081,"about_ca_system_score_gemma":0.000457756,"threshold_uncertainty_score":0.014230967},"labels":[],"label_agreement":null},{"id":"W2260651588","doi":"10.1017/s0305004115000341","title":"Loci of complex polynomials, part II: polar derivatives","year":2015,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Locus (genetics); Mathematics; Polar; Combinatorics; Polynomial; Pure mathematics; Mathematical analysis; Physics; Chemistry","score_opus":0.10722345661505023,"score_gpt":0.3101107488112058,"score_spread":0.2028872921961556,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2260651588","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6905086,0.0036199125,0.24333468,0.0013079003,0.0002074949,0.00007921718,0.0008329694,0.00025645667,0.059852723],"genre_scores_gemma":[0.9857631,0.0007019288,0.007898051,0.00008049876,0.00012752462,0.00003686352,0.0002102281,0.0000613142,0.0051204762],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99910754,0.0000888233,0.000043515927,0.00025350432,0.00038675257,0.000119950404],"domain_scores_gemma":[0.9984004,0.00048077956,0.00034936334,0.00017982244,0.00028463211,0.00030507604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007942954,0.00049946195,0.0007332426,0.002718492,0.0011385113,0.0047122845,0.0007838491,0.0005461448,0.004037717],"category_scores_gemma":[0.0029072894,0.00028179458,0.000671553,0.0014447041,0.0043335035,0.0045666057,0.0035976465,0.00213151,0.0006027214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000437049,0.00001877066,0.0011490274,0.000059940274,0.0000100749585,0.00018798455,0.00039200665,0.0025346566,0.003530017,0.98637736,0.00052461185,0.0051717944],"study_design_scores_gemma":[0.00002300065,0.000058983554,0.0024171611,0.000043236214,0.000015536369,0.0007307142,0.0004650856,0.017639617,0.0039141527,0.96664476,0.008008994,0.000038677194],"about_ca_topic_score_codex":0.0005226989,"about_ca_topic_score_gemma":0.00017381956,"teacher_disagreement_score":0.0047122845,"about_ca_system_score_codex":0.0012318282,"about_ca_system_score_gemma":0.00033361607,"threshold_uncertainty_score":0.013507485},"labels":[],"label_agreement":null},{"id":"W2266192133","doi":"10.1017/s1446788717000106","title":"SOME RESULTS ON AN ALGEBRO-GEOMETRIC CONDITION ON GRAPHS","year":2017,"lang":"en","type":"preprint","venue":"Journal of the Australian Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Ballard Power Systems (Canada); Simon Fraser University","funders":"","keywords":"Mathematics; Jacobian matrix and determinant; Property (philosophy); Combinatorics; Graph; Enhanced Data Rates for GSM Evolution; Discrete mathematics; Tutte polynomial; Class (philosophy); Ideal (ethics); Line graph; Voltage graph; Computer science; Applied mathematics","score_opus":0.09295455322138658,"score_gpt":0.3758910092821175,"score_spread":0.2829364560607309,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2266192133","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46037337,0.003956222,0.2555269,0.00969238,0.0010257525,0.00014453122,0.0014030079,0.0006660897,0.26721168],"genre_scores_gemma":[0.9330293,0.0025215582,0.03527181,0.0014983449,0.0014695403,0.0001339335,0.0014295167,0.0003124441,0.024333589],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991059,0.00017442585,0.000058260423,0.00024388277,0.00024246372,0.00017507431],"domain_scores_gemma":[0.9962243,0.0019562861,0.00040609308,0.0003219275,0.00051629037,0.00057516684],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001282463,0.0007927246,0.00094632164,0.002881503,0.0023549283,0.0021874458,0.0013516563,0.0019675386,0.013524857],"category_scores_gemma":[0.006577382,0.0004113888,0.0012292606,0.0024831353,0.0033367055,0.0076145628,0.0023643428,0.0031108223,0.001440613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004174559,0.000031125877,0.00041757396,0.00006572816,0.000007605177,0.000114021495,0.0001681927,0.0025631925,0.0012991206,0.9886862,0.0023795166,0.0042260583],"study_design_scores_gemma":[0.0000146604425,0.000030566174,0.0005370272,0.000021373051,0.000011331489,0.00011753933,0.00015636433,0.010994562,0.0007688697,0.981361,0.005968483,0.000018182578],"about_ca_topic_score_codex":0.0016556698,"about_ca_topic_score_gemma":0.0012706147,"teacher_disagreement_score":0.013524857,"about_ca_system_score_codex":0.0014353927,"about_ca_system_score_gemma":0.0006024586,"threshold_uncertainty_score":0.04524517},"labels":[],"label_agreement":null},{"id":"W2276976576","doi":"10.1137/151002484","title":"Bifurcations of Central Configurations in the Four-Body Problem with Some Equal Masses","year":2016,"lang":"en","type":"article","venue":"SIAM Journal on Applied Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Equivariant map; Bifurcation; Mathematics; Newtonian fluid; Three-body problem; Mathematical analysis; n-body problem; Pure mathematics; Classical mechanics; Physics; Nonlinear system","score_opus":0.031434610766877466,"score_gpt":0.28040269786033767,"score_spread":0.2489680870934602,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2276976576","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9355311,0.0003486709,0.051520985,0.00046260073,0.00005936748,0.00004337308,0.00004421504,0.000109378394,0.01188027],"genre_scores_gemma":[0.99171597,0.00008410693,0.006566391,0.00004379151,0.0000154588,0.00003980887,0.00004709017,0.000027852628,0.0014595694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99985075,0.000039714225,0.000009348575,0.000025814412,0.000025489051,0.000048895105],"domain_scores_gemma":[0.99943393,0.00016310462,0.00016308656,0.000042523232,0.00006627675,0.00013104337],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062308594,0.00042600476,0.0006530038,0.0015430512,0.0013495043,0.0010606768,0.00050031155,0.0012584662,0.0026662392],"category_scores_gemma":[0.0022942352,0.00032040608,0.0009456735,0.0003428789,0.001751322,0.0012409573,0.0017770334,0.000776741,0.00019563161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00055706286,0.00025315981,0.011306663,0.0002693356,0.00018761575,0.0024350889,0.0016699021,0.377179,0.03127656,0.5520633,0.0023526126,0.020449705],"study_design_scores_gemma":[0.00009233095,0.00012309811,0.0034253555,0.00006362532,0.000043371034,0.00039786217,0.0006025263,0.78973204,0.0044511454,0.2000193,0.0009933638,0.00005596797],"about_ca_topic_score_codex":0.0010896117,"about_ca_topic_score_gemma":0.0006692318,"teacher_disagreement_score":0.0026662392,"about_ca_system_score_codex":0.0007601503,"about_ca_system_score_gemma":0.00047034264,"threshold_uncertainty_score":0.008919418},"labels":[],"label_agreement":null},{"id":"W2313199121","doi":"10.3934/dcds.2008.21.1221","title":"Unfolding of resonant saddles and the Dulac time","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Saddle; Mathematics; Conjugacy class; Saddle point; Equivalence relation; Planar; Mathematical analysis; Function (biology); Piecewise; Pure mathematics; Geometry; Computer science; Mathematical optimization","score_opus":0.01509185670863836,"score_gpt":0.24641045052631622,"score_spread":0.23131859381767786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2313199121","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86771,0.00028692282,0.10068637,0.00033205427,0.000075107346,0.00005704762,0.000079505335,0.00024077893,0.030532269],"genre_scores_gemma":[0.9834632,0.00016782513,0.008630342,0.000045582703,0.0000357868,0.00003527797,0.00006787684,0.000083269835,0.007470877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99981254,0.000031913558,0.000008478255,0.000048769267,0.00004845985,0.00004988035],"domain_scores_gemma":[0.9995276,0.00007967065,0.0000979705,0.00005946123,0.00008847741,0.0001468301],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038201193,0.00029458923,0.00031569385,0.001016367,0.0010836321,0.0010725453,0.00040862506,0.0004526029,0.005247444],"category_scores_gemma":[0.0018930547,0.00020776737,0.00037957102,0.0002708913,0.0014168803,0.0019200797,0.001337178,0.0008441818,0.00043100817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005565712,0.00002629287,0.0016323988,0.00004344646,0.000010626127,0.00037851025,0.0005393975,0.010417673,0.013264944,0.96284366,0.00050617533,0.010281247],"study_design_scores_gemma":[0.00002780713,0.00019787729,0.004247447,0.00004145772,0.00001504479,0.00067009055,0.0010004826,0.13477056,0.0077389055,0.842622,0.0086128805,0.000055419132],"about_ca_topic_score_codex":0.0008691289,"about_ca_topic_score_gemma":0.00056087755,"teacher_disagreement_score":0.005247444,"about_ca_system_score_codex":0.00097026204,"about_ca_system_score_gemma":0.00037415858,"threshold_uncertainty_score":0.017554462},"labels":[],"label_agreement":null},{"id":"W2315410718","doi":"10.3934/dcds.2006.16.923","title":"Applied equivariant degree. part II: Symmetric Hopf bifurcations of functional differential equations","year":2006,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Equivariant map; Mathematics; Hopf bifurcation; Invariant (physics); Pure mathematics; Degree (music); Mathematical analysis; Homogeneous space; Bifurcation; Physics; Mathematical physics; Nonlinear system; Geometry","score_opus":0.032457827667622376,"score_gpt":0.25592214711431877,"score_spread":0.2234643194466964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2315410718","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22722675,0.0015602923,0.7074813,0.0008436718,0.00035993935,0.00008946232,0.00016179154,0.00016283113,0.062114026],"genre_scores_gemma":[0.9629575,0.00060697837,0.025143312,0.000095805575,0.00018762723,0.000035931786,0.00005866198,0.000060048984,0.010854181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999681,0.000089603025,0.000015934585,0.00006242439,0.00010582474,0.00004518346],"domain_scores_gemma":[0.99975425,0.000056107227,0.000050622763,0.000045562938,0.00004820407,0.000045242654],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038446265,0.0004970803,0.00038149173,0.0010196802,0.000460598,0.00081187405,0.00051293656,0.00031669013,0.0033640636],"category_scores_gemma":[0.0011619831,0.00011059874,0.0006197852,0.0003452139,0.0010685795,0.0015289612,0.0014877489,0.00092046487,0.00039828938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016821436,0.000014331126,0.0005604868,0.000046185665,0.000016175381,0.000078938996,0.000093986935,0.0090093035,0.004609929,0.96926326,0.00038766122,0.015902942],"study_design_scores_gemma":[0.000008671793,0.000050223178,0.00083448965,0.000017018392,0.000011017028,0.0003586519,0.00009922505,0.15424445,0.0048817256,0.8326205,0.0068498394,0.000024242929],"about_ca_topic_score_codex":0.00050203805,"about_ca_topic_score_gemma":0.00030400837,"teacher_disagreement_score":0.0033640636,"about_ca_system_score_codex":0.0006730856,"about_ca_system_score_gemma":0.00030989174,"threshold_uncertainty_score":0.011253893},"labels":[],"label_agreement":null},{"id":"W2318863964","doi":"10.4153/cmb-2001-017-2","title":"Linéarisation symplectique en dimension 2","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Foliation (geology); Holonomy; Germ; Affine transformation; Pure mathematics; Dimension (graph theory); Function (biology); Lagrangian; Geometry; Mathematical analysis; Geology","score_opus":0.023396897268315998,"score_gpt":0.28144184056438454,"score_spread":0.25804494329606853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2318863964","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7293017,0.0016722695,0.081792526,0.006575095,0.0013974934,0.00017780882,0.001337993,0.0015189596,0.17622615],"genre_scores_gemma":[0.894404,0.0016227883,0.018779017,0.0009367216,0.0014710184,0.00022594313,0.0019482394,0.00031024285,0.080301896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99829096,0.00031060167,0.00006029183,0.0003954391,0.00063257915,0.0003099737],"domain_scores_gemma":[0.9989844,0.00026293687,0.00015129839,0.00009374427,0.00027241008,0.00023527356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012385695,0.0017441607,0.0012491345,0.00481191,0.002725707,0.005039558,0.0006308871,0.001989989,0.013691055],"category_scores_gemma":[0.0017811778,0.00066028984,0.0011249648,0.0016968691,0.004793993,0.003977597,0.002686567,0.006702152,0.0022699644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011682125,0.00010559296,0.0010280805,0.000087444605,0.00005900974,0.00074816984,0.0008363844,0.0016381617,0.0060560624,0.9714489,0.0058969297,0.011978346],"study_design_scores_gemma":[0.00044489256,0.0003208808,0.011476064,0.00009030812,0.000066180306,0.0037854332,0.0016300195,0.030908251,0.007092237,0.8680659,0.07597531,0.00014455798],"about_ca_topic_score_codex":0.006948334,"about_ca_topic_score_gemma":0.0050231772,"teacher_disagreement_score":0.013691055,"about_ca_system_score_codex":0.004614261,"about_ca_system_score_gemma":0.0008447909,"threshold_uncertainty_score":0.045801163},"labels":[],"label_agreement":null},{"id":"W2322288905","doi":"10.4153/cmb-2003-004-1","title":"Power Residue Criteria for Quadratic Units and the Negative Pell Equation","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Quadratic residue; Modulo; Abelian group; Legendre symbol; Class number; Quadratic equation; Prime (order theory); Residue (chemistry); Combinatorics; Integer (computer science); Prime power; Discrete mathematics; Pure mathematics; Quadratic field; Quadratic function; Geometry","score_opus":0.048762347958637514,"score_gpt":0.2939867355893455,"score_spread":0.245224387630708,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2322288905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81189793,0.0008171913,0.07374009,0.0018929893,0.000273299,0.0000912634,0.00014097216,0.00014979955,0.11099643],"genre_scores_gemma":[0.98613936,0.00011929235,0.004837994,0.000080453945,0.0001581083,0.000027580505,0.00006673226,0.000029346305,0.008541244],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994704,0.000121506986,0.00003300961,0.000089817266,0.00017289813,0.00011237495],"domain_scores_gemma":[0.99841344,0.0007347687,0.0002117664,0.000077046476,0.00030017752,0.00026284275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094498455,0.0005228748,0.00055039464,0.0015674027,0.001100374,0.0016917991,0.00051098946,0.00072651764,0.010102783],"category_scores_gemma":[0.0053057238,0.0001557615,0.00043233755,0.00042464453,0.003059361,0.0031162289,0.0017963039,0.0011762091,0.00094989873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009411514,0.000022234983,0.0007805102,0.00003683718,0.000006764222,0.00029773352,0.00025794178,0.0013481159,0.003662316,0.983887,0.0011149839,0.008491465],"study_design_scores_gemma":[0.00005926321,0.00009716807,0.00060929253,0.00001665304,0.000005680439,0.0003732403,0.00017327897,0.010249682,0.004605814,0.978919,0.0048695505,0.000021396698],"about_ca_topic_score_codex":0.0004960201,"about_ca_topic_score_gemma":0.00033123064,"teacher_disagreement_score":0.010102783,"about_ca_system_score_codex":0.00093718426,"about_ca_system_score_gemma":0.00037522925,"threshold_uncertainty_score":0.033797145},"labels":[],"label_agreement":null},{"id":"W2326140998","doi":"10.5802/aif.2260","title":"Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle","year":2007,"lang":"en","type":"article","venue":"Annales de l’institut Fourier","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Codimension; Modulus; Saddle; Mathematics; Bifurcation; Conjugacy class; Mathematical analysis; Saddle point; Physics; Geometry; Pure mathematics; Quantum mechanics; Nonlinear system; Mathematical optimization","score_opus":0.1428056391304282,"score_gpt":0.36314806497604707,"score_spread":0.22034242584561886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2326140998","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8954601,0.00022165955,0.07771694,0.0005025042,0.00006088932,0.00004781825,0.00012611017,0.00014686528,0.025717076],"genre_scores_gemma":[0.98440164,0.00020071027,0.009966333,0.00007241706,0.000057999703,0.000060266626,0.00011929879,0.00004886068,0.0050725057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974555,0.00003385249,0.000017869932,0.00005690611,0.00008379451,0.00006198598],"domain_scores_gemma":[0.9995459,0.0001003921,0.0001291749,0.000061071754,0.000073821604,0.0000896175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051985437,0.00043590806,0.00034435894,0.0015425289,0.0010350938,0.001093919,0.00036893523,0.0005427219,0.0041340585],"category_scores_gemma":[0.0011962109,0.00016740817,0.0005119877,0.00036517272,0.0015819148,0.001978801,0.0015240024,0.0008959511,0.00035900364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052308536,0.00003199289,0.0016439657,0.0000536887,0.0000139419535,0.00040418957,0.00077194435,0.0030594342,0.0120577505,0.96846527,0.00069052575,0.012755036],"study_design_scores_gemma":[0.00003750143,0.00012851598,0.004306145,0.000034967317,0.000020463629,0.0009292699,0.00082641636,0.037012223,0.008020428,0.9402397,0.0083966665,0.000047664336],"about_ca_topic_score_codex":0.00023412869,"about_ca_topic_score_gemma":0.00016306384,"teacher_disagreement_score":0.0041340585,"about_ca_system_score_codex":0.0008361927,"about_ca_system_score_gemma":0.00023165639,"threshold_uncertainty_score":0.013829827},"labels":[],"label_agreement":null},{"id":"W2326473046","doi":"10.4153/cmb-2004-008-2","title":"Rational Integer Invariants of Regular Cyclic Actions","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Sign (mathematics); Equivariant map; Integer (computer science); Intersection (aeronautics); Combinatorics; Action (physics); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.04817841663704885,"score_gpt":0.29402454404784456,"score_spread":0.2458461274107957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2326473046","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9427207,0.00024646887,0.011288388,0.0002273787,0.00012437314,0.000019839406,0.00009669614,0.00018844786,0.04508767],"genre_scores_gemma":[0.99609655,0.000059925213,0.0011392627,0.000024588613,0.000043066953,0.000006479655,0.000048143087,0.000015496136,0.0025664684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997739,0.000023267005,0.000009677002,0.000034746674,0.000061415834,0.00009705418],"domain_scores_gemma":[0.99963427,0.000048890994,0.00012038149,0.00003671344,0.00004193922,0.00011785107],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025386288,0.00035079374,0.00027050858,0.0013034212,0.0005236496,0.0013938128,0.00025393476,0.0002753828,0.0039337794],"category_scores_gemma":[0.0009107053,0.00015439164,0.00022120264,0.00046499426,0.0017229979,0.0008739871,0.00083175086,0.00043457124,0.00030973283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025412207,0.0000681169,0.00231675,0.00005041817,0.00001387595,0.0005150808,0.00039828583,0.0042753597,0.011569221,0.9633823,0.0014329684,0.015723526],"study_design_scores_gemma":[0.00010407507,0.00018858344,0.0056192987,0.00003814898,0.000032095144,0.0005391034,0.00038160896,0.025285047,0.009407655,0.94588184,0.012461456,0.00006119611],"about_ca_topic_score_codex":0.0011150817,"about_ca_topic_score_gemma":0.0010770268,"teacher_disagreement_score":0.0039337794,"about_ca_system_score_codex":0.0010979992,"about_ca_system_score_gemma":0.00035652393,"threshold_uncertainty_score":0.0131598115},"labels":[],"label_agreement":null},{"id":"W2333097427","doi":"10.4153/cmb-2002-038-8","title":"Obstruction à la linéarisation des champs de vecteurs polynomiaux","year":2002,"lang":"fr","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Canadian Historical Association","funders":"","keywords":"Mathematics; Humanities; Philosophy","score_opus":0.03638279905299053,"score_gpt":0.2526835844943979,"score_spread":0.21630078544140735,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2333097427","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6903864,0.0013722233,0.14648026,0.0025618484,0.00060321717,0.00008887751,0.00031214196,0.0006096005,0.15758544],"genre_scores_gemma":[0.89044017,0.0009081422,0.013360958,0.00019881869,0.00036777952,0.000109523055,0.0002176625,0.00012348348,0.0942734],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956995,0.000071980656,0.000011670367,0.00008600213,0.00016997353,0.00009040864],"domain_scores_gemma":[0.9991647,0.00033882612,0.00010448988,0.000046473928,0.00019396537,0.00015168662],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045540577,0.00071204314,0.000626036,0.0013979013,0.001187712,0.0025196571,0.00063472317,0.0009770064,0.016911417],"category_scores_gemma":[0.002583343,0.0003746638,0.0005571603,0.0008703757,0.003274996,0.0023592678,0.0016534068,0.0029853599,0.0010650529],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038439583,0.000018018884,0.00057050353,0.000056301356,0.000011940642,0.00017411227,0.00039984056,0.0040245284,0.003546892,0.9831708,0.0012913721,0.0066971197],"study_design_scores_gemma":[0.000040835934,0.00009031492,0.0015437725,0.000030207628,0.000012572254,0.00044713562,0.00040883006,0.049728382,0.0040057707,0.9293752,0.014274287,0.000042669275],"about_ca_topic_score_codex":0.006151864,"about_ca_topic_score_gemma":0.003333938,"teacher_disagreement_score":0.016911417,"about_ca_system_score_codex":0.0018613313,"about_ca_system_score_gemma":0.0007673681,"threshold_uncertainty_score":0.056574345},"labels":[],"label_agreement":null},{"id":"W2334895829","doi":"10.5486/pmd.2013.5754","title":"On the number of solutions of binomial Thue inequalities","year":2013,"lang":"en","type":"article","venue":"Publicationes Mathematicae Debrecen","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Regional Development Fund; Natural Sciences and Engineering Research Council of Canada; Magyar Tudományos Akadémia; European Commission","keywords":"Mathematics; Binomial (polynomial); Inequality; Binomial coefficient; Statistics; Discrete mathematics; Mathematical analysis","score_opus":0.07953037081699482,"score_gpt":0.3174290614265278,"score_spread":0.237898690609533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2334895829","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6091689,0.0054843365,0.2355836,0.0136847645,0.00080338266,0.00015869923,0.00070851465,0.0003258841,0.13408189],"genre_scores_gemma":[0.9425097,0.002237854,0.034758408,0.0008036913,0.00047139367,0.00037370448,0.0005251304,0.00015275026,0.018167285],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979619,0.00071857485,0.00009427953,0.00031166902,0.00039328382,0.0005204086],"domain_scores_gemma":[0.9765154,0.01997623,0.001231876,0.00047257164,0.0007477793,0.0010561493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004584262,0.0010338672,0.0013581631,0.0030253688,0.0018795218,0.0045277053,0.002631195,0.0021011492,0.012165848],"category_scores_gemma":[0.03372035,0.0005302964,0.0010285337,0.0021171586,0.0048084245,0.0065034656,0.003234006,0.0041886913,0.0010106512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038430543,0.00007213589,0.002037017,0.00027785398,0.00007196411,0.00020263372,0.0003797979,0.011044883,0.0033235685,0.96070236,0.0034915255,0.018012],"study_design_scores_gemma":[0.00006905871,0.000078019555,0.0010592734,0.00010431383,0.000047612553,0.00031069276,0.0001967945,0.07472725,0.0022621485,0.91795754,0.0031361717,0.000051232735],"about_ca_topic_score_codex":0.0007604525,"about_ca_topic_score_gemma":0.00067736494,"teacher_disagreement_score":0.012165848,"about_ca_system_score_codex":0.0017588373,"about_ca_system_score_gemma":0.0010463827,"threshold_uncertainty_score":0.040698826},"labels":[],"label_agreement":null},{"id":"W2336020299","doi":"","title":"On the Geometry and Deformation of Switching Manifolds for Aut onomous Hybrid Systems","year":2010,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Trajectory; Mathematics; Manifold (fluid mechanics); Optimal control; Hessian matrix; Hybrid system; Intersection (aeronautics); Curvature; Euclidean space; Euclidean geometry; Deformation (meteorology); Function (biology); Topology (electrical circuits); Mathematical optimization; Control theory (sociology); Applied mathematics; Mathematical analysis; Geometry; Computer science; Control (management); Engineering","score_opus":0.023832107062220605,"score_gpt":0.27905091243784025,"score_spread":0.25521880537561964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2336020299","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32336205,0.0011003583,0.6447657,0.0009467796,0.00009076719,0.00006790263,0.00014743552,0.000105419174,0.029413544],"genre_scores_gemma":[0.96534914,0.00056802103,0.028695704,0.000067149456,0.00008496327,0.00005183181,0.00010410284,0.000049684324,0.0050294134],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99975044,0.00007299987,0.000014002842,0.000055403234,0.00008242423,0.000024752635],"domain_scores_gemma":[0.9996308,0.00013924633,0.00008583521,0.000045013247,0.000062866755,0.000036249825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042584338,0.00052814855,0.0003291803,0.0009821039,0.0006567758,0.00088712637,0.00041659156,0.0004875842,0.0028032882],"category_scores_gemma":[0.0011175813,0.00019217067,0.00060935604,0.00034316108,0.0023553486,0.0014922674,0.0013619985,0.00083738833,0.00024516205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002708942,0.00001902423,0.000579499,0.000048279584,0.000015383768,0.00014663547,0.00024181428,0.08939034,0.004171927,0.8918797,0.0004676311,0.013012734],"study_design_scores_gemma":[0.000009358912,0.00015687458,0.001967693,0.000020759337,0.000009939165,0.00029573537,0.00019619946,0.38902333,0.0016430863,0.6012405,0.0054018623,0.000034546225],"about_ca_topic_score_codex":0.00088446395,"about_ca_topic_score_gemma":0.0004325195,"teacher_disagreement_score":0.0028032882,"about_ca_system_score_codex":0.0008173878,"about_ca_system_score_gemma":0.00026694042,"threshold_uncertainty_score":0.009377956},"labels":[],"label_agreement":null},{"id":"W2336126067","doi":"10.1016/j.jde.2016.10.022","title":"On bifurcation delay: An alternative approach using Geometric Singular Perturbation Theory","year":2016,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Bifurcation; Singular perturbation; Singular point of a curve; Limiting; Bifurcation theory; Degeneracy (biology); Mathematical analysis; Planar; Smoothness; Mathematical physics; Combinatorics; Physics; Quantum mechanics; Nonlinear system","score_opus":0.07249643431307173,"score_gpt":0.333293452619093,"score_spread":0.26079701830602126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2336126067","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.032698005,0.0014846402,0.91325146,0.0022039982,0.0014619756,0.000083723724,0.00013887874,0.00015195509,0.04852537],"genre_scores_gemma":[0.82830155,0.005273293,0.10965517,0.0014395574,0.0028519442,0.00017423056,0.00016191269,0.0004131491,0.051729284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996934,0.0000897657,0.000019672758,0.00006777551,0.00009110752,0.000038342536],"domain_scores_gemma":[0.99888307,0.00046920218,0.00014587189,0.00015017619,0.00022905141,0.00012263174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012901102,0.0015357931,0.0014888403,0.004149864,0.0009892795,0.0024001934,0.0016855587,0.0019365196,0.008932191],"category_scores_gemma":[0.0032800322,0.00040950463,0.0014698859,0.0018348135,0.002371605,0.006162438,0.0028970854,0.002471473,0.0008490446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002444147,0.000029109899,0.00012556536,0.000075671414,0.000020762638,0.00008254529,0.000083847095,0.014840139,0.0018122601,0.9757839,0.0009321859,0.006189642],"study_design_scores_gemma":[0.000015315973,0.00004918492,0.00012944124,0.000028298016,0.000042595482,0.00011223346,0.00007417606,0.24881378,0.0006752319,0.7456574,0.0043738284,0.000028503617],"about_ca_topic_score_codex":0.00064640533,"about_ca_topic_score_gemma":0.0005796772,"teacher_disagreement_score":0.008932191,"about_ca_system_score_codex":0.0014304679,"about_ca_system_score_gemma":0.0006437565,"threshold_uncertainty_score":0.02988118},"labels":[],"label_agreement":null},{"id":"W2340178867","doi":"10.1137/16m1068797","title":"On Small-Time Local Controllability","year":2020,"lang":"en","type":"preprint","venue":"SIAM Journal on Control and Optimization","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Controllability; Affine transformation; Mathematics; Vector field; Polynomial; Order (exchange); Pure mathematics; Control theory (sociology); Applied mathematics; Control (management); Discrete mathematics; Mathematical analysis; Computer science; Geometry","score_opus":0.0239173298618824,"score_gpt":0.2717516410036473,"score_spread":0.2478343111417649,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2340178867","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39468238,0.0014387653,0.58439046,0.0008209193,0.00009409782,0.000071187445,0.00008937228,0.00025756765,0.018155182],"genre_scores_gemma":[0.9944359,0.00026141116,0.0036665695,0.00004592218,0.00004365208,0.00004117784,0.00002397756,0.000023787992,0.0014575158],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996505,0.00009085338,0.000009976611,0.00010693501,0.000087917135,0.000053743956],"domain_scores_gemma":[0.9974782,0.0016038195,0.00039666245,0.00019402913,0.00016645582,0.00016085242],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008616162,0.0004580886,0.00041325504,0.00036560555,0.00032913292,0.00046729573,0.0004873995,0.0003546466,0.0021057283],"category_scores_gemma":[0.0040317117,0.0001166691,0.00051459053,0.00018574111,0.0021959823,0.0015818472,0.0009161613,0.0009522915,0.00009747409],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002181587,0.000062264495,0.0022331227,0.0002870916,0.00007648241,0.0007170343,0.0007350203,0.35449296,0.047380757,0.57816815,0.0006144939,0.015014562],"study_design_scores_gemma":[0.00003961796,0.00031193515,0.0020234375,0.000021606054,0.000023250517,0.00015998443,0.00015901396,0.77746254,0.007486529,0.21048841,0.0017993872,0.00002428634],"about_ca_topic_score_codex":0.0012109638,"about_ca_topic_score_gemma":0.00048471784,"teacher_disagreement_score":0.0021057283,"about_ca_system_score_codex":0.00061957876,"about_ca_system_score_gemma":0.00025214153,"threshold_uncertainty_score":0.0070444345},"labels":[],"label_agreement":null},{"id":"W2342471259","doi":"10.4169/amer.math.monthly.123.4.376","title":"When Does a Given Polynomial with Integer Coefficients Divide Another?","year":2016,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"","keywords":"Integer (computer science); Mathematics; Combinatorics; Constant (computer programming); Polynomial; Irreducible polynomial; Content (measure theory); Discrete mathematics; Mathematical analysis; Matrix polynomial; Computer science","score_opus":0.015935090808238943,"score_gpt":0.26898125280241825,"score_spread":0.2530461619941793,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2342471259","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48312736,0.0139728105,0.1861417,0.07227664,0.004790063,0.000121005316,0.00059917115,0.00087735284,0.23809381],"genre_scores_gemma":[0.9505166,0.0040210397,0.02298333,0.0025629993,0.0016857017,0.000043547327,0.00027326396,0.00034222947,0.017571246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973321,0.00039891148,0.00015203333,0.00083894713,0.00070857897,0.00056937896],"domain_scores_gemma":[0.99312854,0.0032735176,0.00082687446,0.0012197783,0.0008607388,0.0006906308],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034458109,0.00036465158,0.0011717019,0.0017613975,0.00285636,0.0042420505,0.0012186192,0.0021292383,0.006366378],"category_scores_gemma":[0.022769034,0.00046265186,0.00053578947,0.0020403971,0.010182333,0.023058346,0.0032757155,0.0029438958,0.001964251],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020333774,0.000045109326,0.0029297853,0.00012001205,0.00003252687,0.0006550965,0.00262934,0.0006426914,0.001513902,0.942452,0.006380647,0.042395543],"study_design_scores_gemma":[0.000028382201,0.000045260127,0.0011398983,0.00011953832,0.000031130276,0.00095670845,0.0032092496,0.0021044735,0.0023511457,0.9092775,0.080685586,0.00005105372],"about_ca_topic_score_codex":0.0016248007,"about_ca_topic_score_gemma":0.0015969077,"teacher_disagreement_score":0.006366378,"about_ca_system_score_codex":0.002047965,"about_ca_system_score_gemma":0.00082227273,"threshold_uncertainty_score":0.021297634},"labels":[],"label_agreement":null},{"id":"W2346986617","doi":"","title":"Geometric configurations of singularities for quadratic differential systems with total finite multiplicity m_f=2","year":2014,"lang":"en","type":"article","venue":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"FP7 People: Marie-Curie Actions; Natural Sciences and Engineering Research Council of Canada; Agència de Gestió d'Ajuts Universitaris i de Recerca; Institució Catalana de Recerca i Estudis Avançats","keywords":"Multiplicity (mathematics); Gravitational singularity; Mathematics; Quadratic equation; Differential (mechanical device); Mathematical analysis; Quadratic differential; Pure mathematics; Physics; Geometry","score_opus":0.027520391428476853,"score_gpt":0.26230421924949987,"score_spread":0.23478382782102303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2346986617","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83380234,0.0006711492,0.056949347,0.0017332885,0.00045018832,0.00009077548,0.0004013901,0.00036173686,0.10553968],"genre_scores_gemma":[0.9828956,0.00012912771,0.006903455,0.00010368315,0.00010687202,0.000029848474,0.00020188795,0.00006946599,0.00956001],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946076,0.000099321216,0.000033944536,0.00010520086,0.00014669124,0.00015406396],"domain_scores_gemma":[0.99900645,0.00019085697,0.00025284322,0.000097643584,0.00015977523,0.0002924561],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005445632,0.0007390382,0.000636291,0.0033639371,0.0019739151,0.0029950251,0.0010930529,0.001372836,0.014975096],"category_scores_gemma":[0.002366589,0.00051841984,0.0007465656,0.00082600495,0.0029012123,0.0024345974,0.002953913,0.0015394276,0.001414352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016173735,0.00006505481,0.001907351,0.00009678727,0.00002013936,0.0011973886,0.0005608067,0.0050704805,0.002953612,0.9753152,0.0035510303,0.009100265],"study_design_scores_gemma":[0.00007764067,0.0000952417,0.0022818227,0.000042265307,0.000013790212,0.0010743527,0.00048703334,0.015824102,0.0013163356,0.97402364,0.004707373,0.000056438857],"about_ca_topic_score_codex":0.0006994624,"about_ca_topic_score_gemma":0.0006416035,"teacher_disagreement_score":0.014975096,"about_ca_system_score_codex":0.0015672604,"about_ca_system_score_gemma":0.00042916203,"threshold_uncertainty_score":0.05009669},"labels":[],"label_agreement":null},{"id":"W2365530367","doi":"","title":"Polynomial and rational integrability of polynomial Hamiltonian systems","year":2012,"lang":"en","type":"article","venue":"Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Agència de Gestió d'Ajuts Universitaris i de Recerca; Fundação para a Ciência e a Tecnologia; Natural Sciences and Engineering Research Council of Canada; Ministerio de Ciencia e Innovación; Universitat Autònoma de Barcelona; Institució Catalana de Recerca i Estudis Avançats","keywords":"Mathematics; Matrix polynomial; Polynomial; Monic polynomial; Pure mathematics; Alternating polynomial; Reciprocal polynomial; Hamiltonian system; Square-free polynomial; Algebra over a field; Mathematical analysis","score_opus":0.011843547058520178,"score_gpt":0.27640458928445905,"score_spread":0.26456104222593885,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2365530367","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6838913,0.0010477355,0.18560733,0.0030818484,0.00021680648,0.000051981373,0.0003303365,0.0003113275,0.12546131],"genre_scores_gemma":[0.98777175,0.00020780491,0.0032142359,0.000057971927,0.0001067098,0.000008562259,0.000071123446,0.000035049394,0.008526903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995253,0.00010992994,0.000013144557,0.000076306605,0.00014818332,0.0001271324],"domain_scores_gemma":[0.9988412,0.0005106758,0.00016821345,0.0001302374,0.00015350635,0.00019614933],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006127441,0.0003965544,0.00055519544,0.0009267927,0.00074572687,0.0015688528,0.000617408,0.00046486818,0.0102613205],"category_scores_gemma":[0.0029376769,0.00020726796,0.0005832743,0.0004649484,0.0025703593,0.0020029633,0.0012768777,0.0016674268,0.0004323373],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002618847,0.000020377405,0.00018252076,0.000032114862,0.00000754692,0.00007418974,0.0001342994,0.005445092,0.0008187119,0.98980486,0.000560228,0.002893824],"study_design_scores_gemma":[0.000021075111,0.000013797716,0.00030917887,0.0000057987795,0.000004521084,0.000049287464,0.00004893922,0.040651623,0.00030199776,0.957799,0.0007858261,0.000008869937],"about_ca_topic_score_codex":0.0026568917,"about_ca_topic_score_gemma":0.0018091146,"teacher_disagreement_score":0.0102613205,"about_ca_system_score_codex":0.0013032958,"about_ca_system_score_gemma":0.00056767487,"threshold_uncertainty_score":0.034327567},"labels":[],"label_agreement":null},{"id":"W2384728792","doi":"","title":"Numerical study of super-Feigenbaum universality in lorenz maps","year":2002,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"CAE (Canada)","funders":"","keywords":"Universality (dynamical systems); Lorenz system; Statistical physics; Mathematics; Physics; Mathematical analysis; Quantum mechanics; Attractor","score_opus":0.07876778545493655,"score_gpt":0.31074969637516414,"score_spread":0.23198191092022757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2384728792","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94701076,0.0002545287,0.043559145,0.00039073074,0.000034114106,0.000024090814,0.000041369418,0.00016861789,0.008516575],"genre_scores_gemma":[0.99773455,0.000027633674,0.001966324,0.00000803636,0.0000038133392,0.000005436849,0.0000065448085,0.000006322862,0.00024135377],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.999866,0.0000533453,0.0000049480973,0.000017387129,0.00002644322,0.000031796088],"domain_scores_gemma":[0.99935776,0.000324423,0.00008327463,0.00005647496,0.00009812112,0.0000799037],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056553545,0.00020402466,0.0004207376,0.00067383685,0.0006067757,0.00053216843,0.00042988616,0.000425721,0.0017371782],"category_scores_gemma":[0.0037022333,0.00014953682,0.0002862918,0.0003102793,0.0009718529,0.0013971978,0.00073140685,0.0005813911,0.00006880026],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016841268,0.000066075125,0.0057191597,0.00014668147,0.0000638512,0.0005091985,0.0005935209,0.6341658,0.0116435625,0.33781242,0.00089915306,0.008212187],"study_design_scores_gemma":[0.0000089533005,0.000019448124,0.00073990587,0.0000058994065,0.0000053689505,0.000026229402,0.000045834888,0.96721405,0.0007053044,0.031042786,0.00017695806,0.000009165342],"about_ca_topic_score_codex":0.0021378165,"about_ca_topic_score_gemma":0.001223313,"teacher_disagreement_score":0.0021378165,"about_ca_system_score_codex":0.0005366965,"about_ca_system_score_gemma":0.000308234,"threshold_uncertainty_score":0.005811453},"labels":[],"label_agreement":null},{"id":"W2396144212","doi":"10.1090/proc/13635","title":"An irreducibility criterion for power series","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Agence Nationale de la Recherche","keywords":"Irreducibility; Series (stratigraphy); Mathematics; Power (physics); Power series; Pure mathematics; Mathematical analysis; Physics; Geology; Thermodynamics","score_opus":0.0467419049037206,"score_gpt":0.3673444385196284,"score_spread":0.3206025336159078,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2396144212","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33407673,0.002257021,0.4582167,0.0059342724,0.0008722025,0.00012389617,0.00030516574,0.0005846854,0.19762932],"genre_scores_gemma":[0.9550327,0.000914497,0.025265297,0.00054825156,0.0010000134,0.00007357551,0.00018580844,0.00021504694,0.01676482],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985318,0.00024252832,0.00009123775,0.00029563095,0.00057866273,0.00026015847],"domain_scores_gemma":[0.99430853,0.002706779,0.00055889966,0.00063700735,0.0011619339,0.00062690035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001989203,0.0008058705,0.00092060695,0.003324538,0.002368107,0.0028109776,0.0011781023,0.001300815,0.008426398],"category_scores_gemma":[0.008262496,0.0004186941,0.0015776227,0.0012500992,0.0044487133,0.0068789483,0.0037384273,0.004722135,0.0010993216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009643483,0.000015637223,0.0002451159,0.0000277464,0.0000033010758,0.00014339446,0.00015881132,0.00039733114,0.0011798856,0.99490756,0.0004283091,0.00248334],"study_design_scores_gemma":[0.0000070629903,0.0000279876,0.00020167972,0.000018547058,0.000006882343,0.00021148294,0.00007076486,0.005173946,0.0014738721,0.98952055,0.0032750452,0.000012135546],"about_ca_topic_score_codex":0.0004082262,"about_ca_topic_score_gemma":0.00036878244,"teacher_disagreement_score":0.008426398,"about_ca_system_score_codex":0.0012206202,"about_ca_system_score_gemma":0.0005772015,"threshold_uncertainty_score":0.028189123},"labels":[],"label_agreement":null},{"id":"W2397966988","doi":"","title":"Remarks On The Finite Heine Transformations.","year":2010,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Calculus (dental); Algebra over a field; Medicine; Orthodontics","score_opus":0.019301499540359784,"score_gpt":0.27463340986881807,"score_spread":0.25533191032845826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2397966988","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02585823,0.008175377,0.06079866,0.075528845,0.0064126877,0.000038461723,0.00085111987,0.0004076047,0.821929],"genre_scores_gemma":[0.76697403,0.0080855265,0.02979236,0.032930445,0.008363219,0.00019119174,0.0006900415,0.00033083843,0.15264238],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939847,0.00015915574,0.000026761343,0.000121183024,0.00020358113,0.00009073403],"domain_scores_gemma":[0.99843603,0.00092192966,0.00009786285,0.00019663415,0.00020855779,0.00013903521],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001237018,0.0005476523,0.00043077776,0.001112928,0.0016353412,0.0018766784,0.0010190139,0.001282843,0.031203244],"category_scores_gemma":[0.0034093766,0.00018053528,0.000556638,0.0006128673,0.005150343,0.0052302433,0.0023438525,0.0027899435,0.0030485971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009752816,0.0000063050284,0.000057716752,0.000022782258,0.0000033715569,0.000055385786,0.00011796223,0.00008736122,0.0001044144,0.9874537,0.009652707,0.002428355],"study_design_scores_gemma":[0.0000074599784,0.000007424647,0.00026509856,0.000020584486,0.000002737378,0.00008538739,0.000112600384,0.00020397425,0.00013498406,0.96019125,0.038962618,0.0000058846936],"about_ca_topic_score_codex":0.0014452573,"about_ca_topic_score_gemma":0.0011934465,"teacher_disagreement_score":0.031203244,"about_ca_system_score_codex":0.0009000285,"about_ca_system_score_gemma":0.00037590077,"threshold_uncertainty_score":0.10438526},"labels":[],"label_agreement":null},{"id":"W2399407323","doi":"10.4169/amer.math.monthly.121.02.150","title":"An Eigenvalue Theorem for Systems of Polynomial Equations","year":2014,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Eigenvalues and eigenvectors; Mathematics; Polynomial; Matrix polynomial; Applied mathematics; Pure mathematics; Mathematical analysis; Physics","score_opus":0.027888486981423946,"score_gpt":0.3205464975578446,"score_spread":0.29265801057642066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2399407323","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05521126,0.0018001104,0.839587,0.0039686137,0.0015005434,0.00010361484,0.0002454527,0.00039354415,0.097189955],"genre_scores_gemma":[0.8356392,0.0024615012,0.122591674,0.0013963811,0.0023843278,0.00031085443,0.00024826033,0.00034911692,0.03461869],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921787,0.00016245684,0.000039941973,0.00012048912,0.00034931162,0.00010986825],"domain_scores_gemma":[0.9990157,0.0004999491,0.00008391865,0.00007277876,0.0002079936,0.000119677155],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011564477,0.0008418702,0.0006445711,0.001046457,0.0012559263,0.0016325208,0.0008398816,0.0009046739,0.009032955],"category_scores_gemma":[0.0038058895,0.00034594876,0.00093520404,0.00057574705,0.0018973561,0.0035537179,0.0028414973,0.0028413679,0.0012333103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000075740254,0.000008944525,0.00006558309,0.000037268357,0.000007081481,0.000063856154,0.00011299701,0.0015537691,0.0014673267,0.9913714,0.0016078496,0.0036963741],"study_design_scores_gemma":[0.000015639018,0.000021878412,0.00012871993,0.00001940989,0.000005927128,0.00012243692,0.00003831061,0.022890912,0.000787384,0.9695059,0.006449773,0.000013769043],"about_ca_topic_score_codex":0.0007237604,"about_ca_topic_score_gemma":0.00037262507,"teacher_disagreement_score":0.009032955,"about_ca_system_score_codex":0.0008030591,"about_ca_system_score_gemma":0.0006140244,"threshold_uncertainty_score":0.030218303},"labels":[],"label_agreement":null},{"id":"W2400670425","doi":"","title":"Antidirected Hamilton cycles in the Cartesian product of directed cycles.","year":2014,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Cartesian product; Mathematics; Cartesian coordinate system; Product (mathematics); Pure mathematics; Combinatorics; Geometry","score_opus":0.020251126468400157,"score_gpt":0.28154749385674405,"score_spread":0.2612963673883439,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2400670425","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5763816,0.0031552964,0.23040614,0.00088720885,0.00044544472,0.0001264603,0.00057416427,0.0002799808,0.18774366],"genre_scores_gemma":[0.93240714,0.0010833594,0.027896179,0.0003181649,0.00013702999,0.000094409814,0.00031809602,0.000079394806,0.03766612],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966633,0.00008966557,0.000023718962,0.000072451665,0.000092017704,0.000055805387],"domain_scores_gemma":[0.99928325,0.0002083376,0.00012994968,0.000060436767,0.0001791403,0.00013888298],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032702077,0.000325537,0.00032606564,0.0012707852,0.0007428062,0.0016343015,0.00051146385,0.00048047557,0.005233705],"category_scores_gemma":[0.0012542396,0.00031862225,0.00032922142,0.0007432895,0.0012051258,0.0018073012,0.0011604002,0.00068601646,0.0007009866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010425825,0.000005685585,0.00015345175,0.00001696027,0.00000475197,0.0000761963,0.000115694005,0.0004480063,0.00050631136,0.99445856,0.0005984896,0.0036054614],"study_design_scores_gemma":[0.00001526515,0.000015705411,0.00022498089,0.000015045149,0.000008123257,0.00017565499,0.0000986869,0.004845374,0.00053567026,0.98439425,0.00966126,0.00000990016],"about_ca_topic_score_codex":0.0013982141,"about_ca_topic_score_gemma":0.0022749992,"teacher_disagreement_score":0.005233705,"about_ca_system_score_codex":0.00069376046,"about_ca_system_score_gemma":0.00048551572,"threshold_uncertainty_score":0.017508507},"labels":[],"label_agreement":null},{"id":"W2401875620","doi":"","title":"Identities with squares of binomial coefficients.","year":2014,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Binomial coefficient; Statistics; Negative binomial distribution; Gaussian binomial coefficient; Binomial (polynomial); Combinatorics; Poisson distribution","score_opus":0.01597016673916921,"score_gpt":0.26703487290000033,"score_spread":0.2510647061608311,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2401875620","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06791118,0.005512498,0.31804782,0.0039880774,0.0035375839,0.00007345565,0.00070413656,0.0004688823,0.59975636],"genre_scores_gemma":[0.74893886,0.0036425735,0.07864293,0.0022809408,0.0031720726,0.00016793431,0.00063325424,0.00050527987,0.16201624],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987649,0.0003681077,0.00006624324,0.00019055823,0.0004696366,0.00014070098],"domain_scores_gemma":[0.9985671,0.00052516826,0.00014674373,0.00023083913,0.00037615973,0.00015391785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011341171,0.00065161247,0.00074470777,0.0018106082,0.0017567965,0.0030932012,0.00093876827,0.00087287475,0.015531451],"category_scores_gemma":[0.0052453787,0.000491296,0.00076225755,0.0012959038,0.0026900072,0.0058100936,0.0025563524,0.00280364,0.005614909],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005638476,0.000004950341,0.00006314243,0.000018324254,0.0000030416832,0.000051479445,0.00008550049,0.00009861772,0.00025632724,0.9933397,0.0026422383,0.0034309453],"study_design_scores_gemma":[0.000005049035,0.000005137886,0.00011876996,0.000015352576,0.0000041094854,0.00019268747,0.00004445497,0.0012983044,0.00026272054,0.9879374,0.010108023,0.000007951069],"about_ca_topic_score_codex":0.0008181371,"about_ca_topic_score_gemma":0.0013476695,"teacher_disagreement_score":0.015531451,"about_ca_system_score_codex":0.0008210455,"about_ca_system_score_gemma":0.0006683083,"threshold_uncertainty_score":0.051957905},"labels":[],"label_agreement":null},{"id":"W2402339857","doi":"","title":"Identities of summations involving powers and inverse of binomial coefficients.","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Binomial coefficient; Inverse; Binomial (polynomial); Negative binomial distribution; Applied mathematics; Statistics; Combinatorics; Poisson distribution; Geometry","score_opus":0.045319140002926944,"score_gpt":0.27510397052995,"score_spread":0.22978483052702306,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2402339857","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05953088,0.009607368,0.39045084,0.003200075,0.0033719374,0.00007739802,0.00070498226,0.00040558964,0.532651],"genre_scores_gemma":[0.71374875,0.0073598595,0.12447834,0.002116439,0.004353818,0.00024608095,0.0007864214,0.00069413794,0.1462161],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983327,0.00044713236,0.00014431399,0.00024850568,0.00064829143,0.00017910376],"domain_scores_gemma":[0.9978917,0.00080895534,0.00022692258,0.000309065,0.0005517694,0.00021162465],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002078274,0.00083058147,0.0010071007,0.002938124,0.0023683626,0.004188391,0.0012207475,0.0010250873,0.009373603],"category_scores_gemma":[0.0073732096,0.0006450394,0.0011904513,0.0017141193,0.003388735,0.008476214,0.0025208232,0.0034007258,0.004349713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000043400128,0.0000059153044,0.00004944923,0.000018443849,0.000003328625,0.00004414663,0.00009934289,0.00007740899,0.00025743732,0.9947744,0.00171482,0.002950995],"study_design_scores_gemma":[0.0000045470074,0.000004739372,0.00010945693,0.00001951784,0.000006189854,0.00022073173,0.000038161783,0.0014968318,0.000244769,0.99015117,0.007695131,0.000008794285],"about_ca_topic_score_codex":0.0008154837,"about_ca_topic_score_gemma":0.0015372296,"teacher_disagreement_score":0.009373603,"about_ca_system_score_codex":0.001102919,"about_ca_system_score_gemma":0.00092882506,"threshold_uncertainty_score":0.031357825},"labels":[],"label_agreement":null},{"id":"W2405757008","doi":"10.1016/j.jde.2016.11.019","title":"Intrinsic character of Stokes matrices","year":2016,"lang":"en","type":"preprint","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Collège Montmorency","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Eigenvalues and eigenvectors; Mathematics; Singularity; Mathematical analysis; Rotation (mathematics); Intersection (aeronautics); Projection (relational algebra); Order (exchange); Pure mathematics; Combinatorics; Physics; Geometry; Quantum mechanics","score_opus":0.05150339769300806,"score_gpt":0.33356838465880473,"score_spread":0.2820649869657967,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2405757008","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82003516,0.0003468879,0.13797498,0.00051995856,0.00014579024,0.00009753101,0.00035405683,0.00021882245,0.0403068],"genre_scores_gemma":[0.97934955,0.00022403851,0.013391743,0.000095921976,0.0001603099,0.000071543254,0.0002927257,0.000087637076,0.006326551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987,0.0002459862,0.00008522738,0.0003084508,0.00042428006,0.0002359698],"domain_scores_gemma":[0.9978948,0.00047201014,0.00042176803,0.00028615948,0.00049142406,0.0004337787],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080220285,0.0004751078,0.00052220095,0.0022676059,0.0011814389,0.0033726802,0.00058255676,0.00070695515,0.0060788067],"category_scores_gemma":[0.0038160742,0.00037320954,0.00063463394,0.00065673544,0.0026140746,0.00253309,0.0019457587,0.0011347969,0.0007075267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002804858,0.000021164346,0.00065836956,0.000022967022,0.000008735582,0.000110595625,0.0003878264,0.0011005797,0.003302916,0.9901598,0.0004066086,0.0037924135],"study_design_scores_gemma":[0.000030547508,0.00007561093,0.0017505359,0.000026654148,0.00001305231,0.00054203067,0.00036063098,0.022979539,0.003906063,0.96490455,0.0053717,0.00003913093],"about_ca_topic_score_codex":0.00040341902,"about_ca_topic_score_gemma":0.00022677422,"teacher_disagreement_score":0.0060788067,"about_ca_system_score_codex":0.00080322096,"about_ca_system_score_gemma":0.00048253156,"threshold_uncertainty_score":0.020335615},"labels":[],"label_agreement":null},{"id":"W2411294740","doi":"10.4171/cmh/361","title":"Germs of singular Levi-flat hypersurfaces and holomorphic foliations","year":2015,"lang":"en","type":"preprint","venue":"Commentarii Mathematici Helvetici","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Holomorphic function; Mathematics; Pure mathematics; Geometry; Mathematical analysis","score_opus":0.1442044828973552,"score_gpt":0.36589714371302573,"score_spread":0.22169266081567052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2411294740","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7384945,0.0022861632,0.05254086,0.0020024332,0.00037662103,0.000050072114,0.00030398366,0.00029730445,0.2036481],"genre_scores_gemma":[0.9758094,0.00061839947,0.0047959955,0.00009483517,0.00014817786,0.000014397799,0.00017557213,0.000038526465,0.018304715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99985635,0.000022879569,0.000010329874,0.00002504544,0.000055414337,0.000029868997],"domain_scores_gemma":[0.99978954,0.000035024954,0.00005400902,0.000025165029,0.000033229848,0.00006306542],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021518586,0.00041483645,0.00031789954,0.0022118052,0.0010266458,0.0022751149,0.00039094078,0.0006872919,0.0061563607],"category_scores_gemma":[0.0007413232,0.00019349635,0.00038720158,0.00064609706,0.0014843513,0.0014989497,0.0011671359,0.00095422607,0.00062329386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017885674,0.000015238813,0.00059089635,0.00004042417,0.000007494053,0.00063587015,0.0002221426,0.0017218989,0.0031153776,0.987943,0.0011635429,0.0045263316],"study_design_scores_gemma":[0.000014020652,0.000019461739,0.0019097814,0.000031490774,0.0000051411384,0.0009823256,0.00028321028,0.012027165,0.0015084817,0.9760064,0.0071981014,0.000014376582],"about_ca_topic_score_codex":0.0007603361,"about_ca_topic_score_gemma":0.00051021995,"teacher_disagreement_score":0.0061563607,"about_ca_system_score_codex":0.00096381916,"about_ca_system_score_gemma":0.0002031099,"threshold_uncertainty_score":0.020595074},"labels":[],"label_agreement":null},{"id":"W2414562351","doi":"10.1112/s0024609305004716","title":"Counting Zeros of <i>C</i> <sup>1</sup> Fredholm Maps of Index 1","year":2005,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Mathematics Subject Classification; Fredholm integral equation; Fredholm determinant; Degree (music); Fredholm operator; Fredholm theory; Invariant (physics); Parity (physics); Banach space; Mathematical analysis; Pure mathematics; Combinatorics; Integral equation; Compact operator; Mathematical physics","score_opus":0.01753062611825319,"score_gpt":0.257704732421861,"score_spread":0.2401741063036078,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2414562351","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7936496,0.0011830769,0.18033184,0.0006933771,0.00016927072,0.000092421666,0.00043365193,0.00017292166,0.023273898],"genre_scores_gemma":[0.9646662,0.0007522373,0.027565723,0.000070381146,0.00017568501,0.00011572614,0.00045569442,0.00009847041,0.0060997703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998968,0.00021842947,0.000106493426,0.00024064575,0.00024962227,0.00021688099],"domain_scores_gemma":[0.9919944,0.00378309,0.0017672736,0.000658236,0.0009621236,0.00083490205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020407788,0.001061306,0.00087713514,0.0047943546,0.0014242594,0.0035002623,0.0018429243,0.001264555,0.004202671],"category_scores_gemma":[0.010562832,0.0006089641,0.0007547688,0.0016895939,0.003630546,0.00542258,0.002275377,0.0012142672,0.00050914777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00058600993,0.00008188067,0.023077562,0.0005331022,0.00006377529,0.00076101936,0.0014588542,0.009343458,0.027704418,0.87998766,0.0029523408,0.053449854],"study_design_scores_gemma":[0.000052045805,0.00020031957,0.0141587285,0.00022468966,0.00010590616,0.0025876993,0.00088867254,0.08367539,0.046530392,0.8420948,0.0093228845,0.00015843363],"about_ca_topic_score_codex":0.00060621,"about_ca_topic_score_gemma":0.00036645768,"teacher_disagreement_score":0.0047943546,"about_ca_system_score_codex":0.0017503168,"about_ca_system_score_gemma":0.000429089,"threshold_uncertainty_score":0.014059305},"labels":[],"label_agreement":null},{"id":"W2429162605","doi":"10.1016/j.jalgebra.2016.05.006","title":"Sets of polynomial rings in two variables and factorizations of polynomial morphisms","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Polynomial ring; Morphism; Polynomial; Minimal polynomial (linear algebra); Affine space; Field (mathematics); Affine transformation; Ring (chemistry); Square-free polynomial; Combinatorics; Zero (linguistics); Discrete mathematics; Space (punctuation); Matrix polynomial; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.02389188180062293,"score_gpt":0.31426926160366964,"score_spread":0.29037737980304673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2429162605","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40794072,0.0025342614,0.5007406,0.0018347698,0.0005839904,0.00019840796,0.001381462,0.0005097917,0.08427591],"genre_scores_gemma":[0.9156189,0.00091486063,0.064987026,0.00032598124,0.0004541895,0.00022300168,0.0010638922,0.00016368108,0.016248578],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99568224,0.0011018501,0.00036593515,0.0010762451,0.001024931,0.00074884115],"domain_scores_gemma":[0.9945411,0.0025311394,0.0007604948,0.00062045397,0.00079000776,0.00075676304],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003465361,0.0010149954,0.0020872164,0.0042330585,0.0048727742,0.0072270855,0.002094201,0.001535233,0.007550567],"category_scores_gemma":[0.0067346124,0.0016109624,0.0030058331,0.0027711869,0.006422857,0.010405172,0.00510659,0.003612742,0.0010481712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042373453,0.00001631148,0.00013270346,0.000022412978,0.000013073288,0.000077193734,0.00039742715,0.00042275368,0.00031073522,0.99666613,0.0002696434,0.0016293253],"study_design_scores_gemma":[0.000031534943,0.000018337036,0.0002476834,0.00002047883,0.000018383278,0.00012899545,0.00020051513,0.0023106227,0.0003762571,0.9946338,0.0019870033,0.000026462456],"about_ca_topic_score_codex":0.0018899451,"about_ca_topic_score_gemma":0.0012564558,"teacher_disagreement_score":0.007550567,"about_ca_system_score_codex":0.0023536002,"about_ca_system_score_gemma":0.0010950958,"threshold_uncertainty_score":0.025259137},"labels":[],"label_agreement":null},{"id":"W2483669036","doi":"10.1109/acc.2016.7526481","title":"Pattern preserving pole placement and stabilization for linear systems","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Controllability; Diagonal; Homogeneous space; Block matrix; Block (permutation group theory); Matrix (chemical analysis); Diagonal matrix; Full state feedback; Set (abstract data type); Automorphism; Mathematics; Linear system; Computer science; Topology (electrical circuits); Control theory (sociology); Algorithm; Pure mathematics; Applied mathematics; Combinatorics; Control (management); Mathematical analysis; Artificial intelligence; Geometry","score_opus":0.05757945634714475,"score_gpt":0.32726913921296946,"score_spread":0.26968968286582473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2483669036","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035514176,0.000106513566,0.96063614,0.00007871979,0.000023942148,0.000024759016,0.000020308356,0.00013793269,0.0034575637],"genre_scores_gemma":[0.79805404,0.00026018894,0.19561057,0.000057586574,0.00004660613,0.00010815476,0.00007732629,0.00006624907,0.0057192487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99981016,0.000055454435,0.000009743427,0.00004461519,0.000062216044,0.000017817854],"domain_scores_gemma":[0.9998549,0.000045741162,0.00003053616,0.000035283727,0.000022961658,0.000010553214],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022740908,0.00044938523,0.00024822322,0.00027635755,0.00024780468,0.00038893626,0.00030723415,0.000362405,0.0015516173],"category_scores_gemma":[0.00070771214,0.00015054386,0.0002613373,0.000295833,0.0008039331,0.0005839755,0.00049646426,0.0005140143,0.00031941396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000116440766,0.0000445871,0.00060985296,0.00012314627,0.000024630193,0.00019007626,0.0003738771,0.25169924,0.0793354,0.53619874,0.0010995939,0.13018434],"study_design_scores_gemma":[0.000026423666,0.00016452212,0.00025571,0.000011345044,0.0000064572487,0.000105761406,0.000046657024,0.61569726,0.0124992505,0.36751798,0.0036560276,0.000012653777],"about_ca_topic_score_codex":0.0005554058,"about_ca_topic_score_gemma":0.0005065567,"teacher_disagreement_score":0.0015516173,"about_ca_system_score_codex":0.0003275709,"about_ca_system_score_gemma":0.00022235805,"threshold_uncertainty_score":0.00519073},"labels":[],"label_agreement":null},{"id":"W2498705639","doi":"10.1017/cbo9781316091548.009","title":"Positive diffeomorphisms and Yangian invariance","year":2016,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Yangian; Content (measure theory); Mathematics; Pure mathematics; Computer science; Algebra over a field; Mathematical analysis","score_opus":0.02966716037412228,"score_gpt":0.2233628144940061,"score_spread":0.19369565411988382,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2498705639","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01824675,0.017399672,0.017118463,0.0034435461,0.0012282359,0.000015018681,0.000100765625,0.00016971095,0.94227785],"genre_scores_gemma":[0.46366194,0.018781072,0.006163026,0.0008985833,0.0011764044,0.00005880469,0.0001896176,0.00016937939,0.5089011],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999087,0.00002390812,0.0000028678348,0.000016714834,0.0000333516,0.000014443536],"domain_scores_gemma":[0.9999436,0.000017256352,0.0000054488446,0.000010855127,0.000012147395,0.00001057045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001997817,0.00034677968,0.00021969978,0.0004790506,0.0004433184,0.0011846754,0.0002271081,0.00030931822,0.0092835175],"category_scores_gemma":[0.0002935474,0.00010768811,0.00025840916,0.00044823013,0.0020509914,0.00150989,0.0007739172,0.000748657,0.0016540855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000023409445,0.0000022580462,0.000026536914,0.000025904814,0.0000013452224,0.000020693557,0.00008534485,0.00016310585,0.00031673734,0.98039484,0.007832872,0.011128021],"study_design_scores_gemma":[0.0000023310067,0.000008444219,0.00018318578,0.000023546107,0.0000016136252,0.000091646754,0.000069361,0.00037720433,0.00025079632,0.88836336,0.110624775,0.000003824096],"about_ca_topic_score_codex":0.0004363325,"about_ca_topic_score_gemma":0.00043206045,"teacher_disagreement_score":0.0092835175,"about_ca_system_score_codex":0.00071872876,"about_ca_system_score_gemma":0.0004356935,"threshold_uncertainty_score":0.031056464},"labels":[],"label_agreement":null},{"id":"W2501324228","doi":"10.1017/cbo9780511791260.017","title":"Location of Lemmas","year":2003,"lang":"en","type":"other","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Computer science; Content (measure theory); Information retrieval; Database; Mathematics","score_opus":0.03917823100236753,"score_gpt":0.3147255810807429,"score_spread":0.2755473500783754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2501324228","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.002170076,0.0021420873,0.07984693,0.004472377,0.0057510063,0.00035808625,0.030616842,0.0086445,0.8659981],"genre_scores_gemma":[0.08373686,0.007779949,0.06725106,0.0036537545,0.003209269,0.0011356967,0.103839725,0.020328622,0.709065],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9973442,0.0005604993,0.00024803384,0.00059449405,0.00087508484,0.00037776525],"domain_scores_gemma":[0.99510914,0.0013844954,0.00023865094,0.0011395925,0.0018461902,0.00028188422],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001451939,0.0015892476,0.0014338755,0.00422424,0.0024379047,0.0066189975,0.0025138657,0.001606326,0.46574977],"category_scores_gemma":[0.010636472,0.00083889655,0.0016526073,0.004416455,0.0014815482,0.008461223,0.0037452532,0.00384445,0.4344517],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011448322,0.000049734674,0.00023397333,0.0006439375,0.000017177093,0.0004171557,0.00027377103,0.00032381632,0.0012960907,0.33586937,0.6143675,0.046392962],"study_design_scores_gemma":[0.000032208845,0.000018991028,0.00027963324,0.00017067998,0.000015380929,0.00057163957,0.0001630559,0.0005316739,0.0023448353,0.088395126,0.9074469,0.0000299249],"about_ca_topic_score_codex":0.0032861475,"about_ca_topic_score_gemma":0.0023984222,"teacher_disagreement_score":0.46574977,"about_ca_system_score_codex":0.003546264,"about_ca_system_score_gemma":0.001792696,"threshold_uncertainty_score":0.7620431},"labels":[],"label_agreement":null},{"id":"W2504471956","doi":"10.1090/cbms/096/10","title":"Characteristic cohomology of differential systems","year":2002,"lang":"en","type":"book-chapter","venue":"Regional conference series in mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Differential (mechanical device); Cohomology; Mathematics; Pure mathematics; Computer science; Physics; Thermodynamics","score_opus":0.08870213224815582,"score_gpt":0.2907615700124852,"score_spread":0.20205943776432939,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2504471956","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.064526394,0.024426414,0.033856247,0.004762841,0.0014956103,0.000043496337,0.0002595214,0.00028135313,0.8703481],"genre_scores_gemma":[0.77219075,0.014608123,0.010880177,0.00074392656,0.003237213,0.00008455956,0.0003335009,0.00015726555,0.19776447],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99980706,0.000047647492,0.000007123596,0.00002941892,0.00008182364,0.000026823269],"domain_scores_gemma":[0.9997465,0.00009938514,0.000019681553,0.00003717313,0.000053265318,0.000044031374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032693596,0.0005400605,0.0005392146,0.0021114051,0.000998177,0.0028822143,0.00044382134,0.00043668266,0.0070682215],"category_scores_gemma":[0.00085457886,0.0002607186,0.0002755296,0.0017828761,0.0021290733,0.0037827487,0.0010940117,0.0018699034,0.0008650751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000036781994,0.0000068536265,0.00007401995,0.000027873082,0.0000031476886,0.000016653907,0.00021198243,0.00015014355,0.00020909819,0.98756313,0.004614605,0.007118972],"study_design_scores_gemma":[0.0000042198185,0.0000055411792,0.00031091322,0.000011820201,0.000003261831,0.0000716424,0.00007362482,0.0004953774,0.00009991874,0.9667913,0.032128632,0.0000037047319],"about_ca_topic_score_codex":0.0008925944,"about_ca_topic_score_gemma":0.000856584,"teacher_disagreement_score":0.0070682215,"about_ca_system_score_codex":0.001815796,"about_ca_system_score_gemma":0.0005727155,"threshold_uncertainty_score":0.02364552},"labels":[],"label_agreement":null},{"id":"W2516344648","doi":"10.1155/2016/7640340","title":"Homogeneous-Like Generalized Cubic Systems","year":2016,"lang":"lv","type":"article","venue":"International Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Cape Breton University","funders":"","keywords":"Algorithm; Computer science","score_opus":0.03493885851895586,"score_gpt":0.312164267671434,"score_spread":0.2772254091524782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2516344648","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57587856,0.0005347847,0.10967059,0.0016282421,0.00036775446,0.0001796118,0.0011374368,0.0005627312,0.31004032],"genre_scores_gemma":[0.96022344,0.00024398653,0.008711759,0.00015552969,0.00014791293,0.000048399692,0.0004897143,0.00011498661,0.02986428],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961555,0.000049150054,0.0000124389135,0.000071636176,0.00009996077,0.00015126092],"domain_scores_gemma":[0.9995222,0.000077918165,0.00009002225,0.00006563921,0.00014130081,0.00010284894],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032266806,0.00036592022,0.0004072228,0.0012442552,0.0012489205,0.001911269,0.00066181534,0.00057834963,0.017406132],"category_scores_gemma":[0.0013864065,0.00021180496,0.0006354825,0.0008547128,0.0014739522,0.0013771147,0.0012733211,0.0011861767,0.0016808088],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031007832,0.000015011521,0.00024798355,0.000034085788,0.0000058396386,0.00010288199,0.00013470372,0.0033351271,0.0011247657,0.9884013,0.0021462017,0.004421242],"study_design_scores_gemma":[0.00007384212,0.000079060876,0.0011152035,0.000027603419,0.00001707048,0.0003078713,0.0005153237,0.051476363,0.0030189278,0.9265731,0.016753685,0.000041914736],"about_ca_topic_score_codex":0.0063011027,"about_ca_topic_score_gemma":0.006130019,"teacher_disagreement_score":0.017406132,"about_ca_system_score_codex":0.0019256969,"about_ca_system_score_gemma":0.0009670823,"threshold_uncertainty_score":0.058229327},"labels":[],"label_agreement":null},{"id":"W2518299204","doi":"10.4153/cmb-2015-062-1","title":"On the Limit Cycles of Linear Differential Systems with Homogeneous Nonlinearities","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"FP7 People: Marie-Curie Actions; Shanghai Jiao Tong University; Institució Catalana de Recerca i Estudis Avançats; National Natural Science Foundation of China","keywords":"Mathematics; Homogeneous; Limit (mathematics); Class (philosophy); Homogeneous polynomial; Limit cycle; Degree (music); Differential (mechanical device); Polynomial; Homogeneous differential equation; Pure mathematics; Differential equation; Mathematical analysis; Applied mathematics; Combinatorics; Matrix polynomial; Differential algebraic equation; Ordinary differential equation","score_opus":0.05811492610273354,"score_gpt":0.2654889786838265,"score_spread":0.20737405258109293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2518299204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7665987,0.001635432,0.18671107,0.0007163535,0.00009145823,0.00012067501,0.00014483737,0.00015368385,0.043827757],"genre_scores_gemma":[0.9846341,0.0005572254,0.0074563073,0.00004950781,0.000036035086,0.00008479685,0.000051354007,0.000028110546,0.0071025435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997421,0.00006303754,0.0000145876875,0.000044596585,0.000075306314,0.00006041368],"domain_scores_gemma":[0.9989753,0.00038995978,0.00017249255,0.00006426768,0.000246363,0.00015166785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005988046,0.00035233513,0.00069393736,0.0013544016,0.000984421,0.00156787,0.0005503965,0.0005729994,0.0042597777],"category_scores_gemma":[0.0031872506,0.0003122959,0.00042085635,0.0006421535,0.0015593161,0.0015319902,0.0013530441,0.00051360286,0.00023601447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004346748,0.00002852331,0.0010208294,0.00008096041,0.000020951813,0.00035963865,0.000536633,0.023416596,0.0032318898,0.96250045,0.0006884829,0.008071668],"study_design_scores_gemma":[0.000023216242,0.000050585088,0.00068010215,0.00005115141,0.000016101447,0.00020612172,0.0002907503,0.21396147,0.002217825,0.7773996,0.0050754948,0.000027558559],"about_ca_topic_score_codex":0.0023514244,"about_ca_topic_score_gemma":0.0014111565,"teacher_disagreement_score":0.0042597777,"about_ca_system_score_codex":0.0011206906,"about_ca_system_score_gemma":0.0007039108,"threshold_uncertainty_score":0.014250338},"labels":[],"label_agreement":null},{"id":"W2519345858","doi":"10.2140/apde.2018.11.873","title":"On rank-2 Toda systems with arbitrary singularities: local mass and new estimates","year":2018,"lang":"en","type":"article","venue":"Analysis & PDE","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Point (geometry); Vortex; Singular point of a curve; Type (biology); Measure (data warehouse)","score_opus":0.024845570942022818,"score_gpt":0.2898580040949548,"score_spread":0.265012433152932,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2519345858","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2537582,0.013192582,0.6202996,0.005800931,0.0010394923,0.0001285164,0.00054139586,0.0005127681,0.10472657],"genre_scores_gemma":[0.92062664,0.0047873654,0.043740872,0.0006344591,0.001121811,0.00016752133,0.00036697515,0.00020499516,0.028349357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955386,0.00012928722,0.000029107263,0.00006181005,0.00013919313,0.00008678957],"domain_scores_gemma":[0.997437,0.0008881426,0.00046781992,0.00024008959,0.00042973767,0.00053721335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024568813,0.0017424412,0.0012481587,0.0041612084,0.0016347427,0.0020472452,0.0017410368,0.0011484984,0.0050415713],"category_scores_gemma":[0.0058715753,0.0005128209,0.0012483192,0.0011337693,0.0027196906,0.00567929,0.0041792565,0.0025728669,0.0006812484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027201428,0.000030126637,0.00072231086,0.00014413713,0.000022471751,0.00028011028,0.0002756432,0.009616233,0.0018619833,0.9813312,0.0017788847,0.0039096386],"study_design_scores_gemma":[0.000014144925,0.00004995851,0.00095043506,0.00010657907,0.00003142729,0.0002716033,0.00021594875,0.20328388,0.00087704475,0.78934264,0.004809089,0.0000473328],"about_ca_topic_score_codex":0.00204388,"about_ca_topic_score_gemma":0.0020127199,"teacher_disagreement_score":0.0050415713,"about_ca_system_score_codex":0.002088308,"about_ca_system_score_gemma":0.0007428692,"threshold_uncertainty_score":0.01686573},"labels":[],"label_agreement":null},{"id":"W2525912989","doi":"10.3934/dcds.2016.36.2329","title":"Entire solutions with merging fronts to a bistable periodic lattice dynamical system","year":2015,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Bistability; Multivibrator; Front (military); Lattice (music); Symmetry (geometry); Crystal system; Physics; Dynamical systems theory; Mathematics; Mathematical analysis; Statistical physics; Geometry; Quantum mechanics; Crystal structure","score_opus":0.02829197499784346,"score_gpt":0.2720556930015525,"score_spread":0.24376371800370905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2525912989","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6139348,0.00050742034,0.37025896,0.00063205423,0.000079023244,0.00010103998,0.00011955857,0.00017471601,0.014192365],"genre_scores_gemma":[0.91231376,0.00040529735,0.07685214,0.00017797753,0.00006723848,0.00016090971,0.00020246622,0.00007164506,0.009748715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99982125,0.000050730643,0.0000110334295,0.000027542555,0.000049234295,0.000040156585],"domain_scores_gemma":[0.9996252,0.00013342875,0.00007450199,0.00001789998,0.00006139991,0.000087617285],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047714132,0.00061932433,0.0005411343,0.0009679261,0.00052075327,0.0008934993,0.00086590013,0.00095731264,0.0028846422],"category_scores_gemma":[0.0018778051,0.00030956545,0.00070001965,0.00040395051,0.0010354641,0.0010067405,0.001392502,0.00091179286,0.0001896485],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002160575,0.00013234386,0.0021722182,0.00031352614,0.000092314986,0.0009564493,0.0008110273,0.23213443,0.041062206,0.69761086,0.0016589416,0.022839613],"study_design_scores_gemma":[0.00004775618,0.000076488875,0.00043777647,0.000022128812,0.00001629378,0.00019005347,0.00022387323,0.87217546,0.0036972796,0.121666454,0.0014210781,0.000025351072],"about_ca_topic_score_codex":0.0012756828,"about_ca_topic_score_gemma":0.00080020365,"teacher_disagreement_score":0.0028846422,"about_ca_system_score_codex":0.0006846106,"about_ca_system_score_gemma":0.0005694985,"threshold_uncertainty_score":0.009650111},"labels":[],"label_agreement":null},{"id":"W25345293","doi":"","title":"Steiner Triple Systems with Automorphism Type [1, 0, 0, 0, 0, 0, 0, t, 0, ...0, 1, 0, ...0].","year":2003,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Type (biology); Automorphism; Biology","score_opus":0.026661387497821015,"score_gpt":0.27171972462797217,"score_spread":0.24505833713015115,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W25345293","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5502987,0.00095485576,0.13865156,0.0014739139,0.000652221,0.00017858451,0.0025833112,0.0011288492,0.304078],"genre_scores_gemma":[0.9450944,0.0004128179,0.023588369,0.00024797732,0.00014093686,0.00009070758,0.002292065,0.00014029532,0.027992373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959034,0.00008763754,0.000041643452,0.00007176634,0.000110603076,0.00009804386],"domain_scores_gemma":[0.999423,0.00009692578,0.00017311645,0.00009195303,0.00010123008,0.00011376883],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028307523,0.00044268728,0.00053367985,0.0013836728,0.0013967608,0.0016380871,0.0004889605,0.0009353453,0.014260107],"category_scores_gemma":[0.0008989568,0.0003461142,0.0006308378,0.0010555445,0.0012196307,0.0016855667,0.0017107739,0.0009085239,0.0025891438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014086011,0.000024365208,0.00087342586,0.00006257906,0.000034746754,0.0006129699,0.0003395307,0.0033322324,0.0041420087,0.97200215,0.007084979,0.011350187],"study_design_scores_gemma":[0.000075136166,0.000091921895,0.0013631994,0.00005173566,0.000042883457,0.001028838,0.00067952863,0.011645194,0.0038666697,0.9584162,0.022695322,0.000043313135],"about_ca_topic_score_codex":0.0007337742,"about_ca_topic_score_gemma":0.0014125286,"teacher_disagreement_score":0.014260107,"about_ca_system_score_codex":0.00074354984,"about_ca_system_score_gemma":0.00051901315,"threshold_uncertainty_score":0.047704816},"labels":[],"label_agreement":null},{"id":"W2560329748","doi":"10.1007/s11071-016-3249-4","title":"Bifurcation of limit cycles at infinity in a class of switching systems","year":2016,"lang":"en","type":"article","venue":"Nonlinear Dynamics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Infinity; Quintic function; Limit (mathematics); Mathematics; Limit cycle; Bifurcation; Class (philosophy); Mathematical analysis; Control theory (sociology); Physics; Computer science; Nonlinear system; Control (management); Quantum mechanics","score_opus":0.03723148354228343,"score_gpt":0.30770293752838357,"score_spread":0.2704714539861001,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2560329748","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.906719,0.00066395104,0.06220564,0.00030329206,0.00005640371,0.00006110875,0.000083388855,0.00013266539,0.029774487],"genre_scores_gemma":[0.9934428,0.0002490467,0.00338882,0.000036774592,0.00003780808,0.00003442163,0.000060252292,0.000017602088,0.0027324494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998367,0.00003395316,0.000011002518,0.000029691222,0.000056448698,0.000032144304],"domain_scores_gemma":[0.9994972,0.00019800971,0.00010781567,0.00004062432,0.000065776236,0.00009057992],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041954571,0.0004348487,0.00060252607,0.0016136866,0.0011098979,0.0015625346,0.00047611247,0.000785709,0.0021438552],"category_scores_gemma":[0.001484372,0.00020443808,0.00060821907,0.00058271637,0.0010569068,0.0008711776,0.00083004823,0.00062998605,0.00021947533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023594704,0.00016233948,0.0048857597,0.00014211937,0.00009268342,0.0010133231,0.0012157918,0.042081244,0.022630382,0.89464754,0.0019235499,0.03096936],"study_design_scores_gemma":[0.00007315382,0.00014711432,0.004035519,0.00004919814,0.000045479974,0.00093501963,0.0002714194,0.38739043,0.0028020577,0.60093266,0.0032783968,0.000039569877],"about_ca_topic_score_codex":0.0008051493,"about_ca_topic_score_gemma":0.00053225417,"teacher_disagreement_score":0.0021438552,"about_ca_system_score_codex":0.00077795284,"about_ca_system_score_gemma":0.0003611358,"threshold_uncertainty_score":0.007171929},"labels":[],"label_agreement":null},{"id":"W2568346760","doi":"10.1016/j.crma.2007.10.033","title":"The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point","year":2007,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Codimension; Moduli space; Fixed point; Mathematics; Pure mathematics; Mathematical analysis; Compatibility (geochemistry)","score_opus":0.032467093026744526,"score_gpt":0.3012091381975377,"score_spread":0.26874204517079314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2568346760","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.942882,0.00054931786,0.032026965,0.00046903605,0.00006645513,0.000053158685,0.00024069527,0.00014687217,0.023565535],"genre_scores_gemma":[0.98793924,0.0002974298,0.0049502235,0.0000491747,0.000063095096,0.00005319122,0.00025507133,0.000043456155,0.0063490337],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978584,0.000022128592,0.000013339795,0.00005335516,0.00006140386,0.00006400269],"domain_scores_gemma":[0.9997992,0.000027818118,0.00004643878,0.000021691647,0.000027813423,0.00007711309],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043109755,0.0006320679,0.0004249357,0.002023708,0.0015336908,0.0016169017,0.00045792424,0.0007162825,0.0049404744],"category_scores_gemma":[0.00064435217,0.0002733521,0.0005851363,0.000676049,0.0016761307,0.0027684383,0.0016747916,0.0008785425,0.00044450897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000083059895,0.000040109335,0.0019306397,0.00007690551,0.000022387612,0.0010386282,0.0009781474,0.001986751,0.011180077,0.9744382,0.0006395163,0.007585704],"study_design_scores_gemma":[0.000087170156,0.00019891681,0.0073855976,0.000071193725,0.000052855346,0.002858764,0.0013932057,0.018193472,0.010109757,0.9458535,0.013738769,0.000056825527],"about_ca_topic_score_codex":0.0004084683,"about_ca_topic_score_gemma":0.00016602722,"teacher_disagreement_score":0.0049404744,"about_ca_system_score_codex":0.00089183217,"about_ca_system_score_gemma":0.00025374212,"threshold_uncertainty_score":0.016527534},"labels":[],"label_agreement":null},{"id":"W2571706799","doi":"10.48550/arxiv.1701.03276","title":"Generic 1-parameter pertubations of a vector field with a singular point\\n of codimension k","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Codimension; Point (geometry); Field (mathematics); Mathematics; Vector field; Mathematical analysis; Physics; Pure mathematics; Geometry","score_opus":0.10731294388549195,"score_gpt":0.23275018813176687,"score_spread":0.12543724424627492,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2571706799","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9460699,0.0002624748,0.012044761,0.0002525481,0.00009922671,0.000042498457,0.00010182674,0.0001560457,0.040970672],"genre_scores_gemma":[0.9915176,0.00013354661,0.0020844599,0.000044354823,0.000031237883,0.000030194242,0.00009187701,0.000051356747,0.0060153943],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997633,0.000025561503,0.000013850115,0.00005718316,0.00006972286,0.000070442344],"domain_scores_gemma":[0.99977905,0.000024704736,0.000060855626,0.00002783109,0.000031694086,0.00007585496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025119685,0.00046328577,0.00033565864,0.0016552362,0.0015573691,0.0020391645,0.00062684534,0.0008540872,0.0043280814],"category_scores_gemma":[0.00087661674,0.000220108,0.00040661343,0.0004601848,0.0016589462,0.0016876848,0.0014871272,0.0008344674,0.00051819655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016289706,0.000099445446,0.0033131859,0.00007018407,0.000019675941,0.0020756219,0.001154933,0.004738516,0.016486205,0.9606485,0.0011857644,0.010045153],"study_design_scores_gemma":[0.00011635056,0.00021275118,0.010941544,0.00013005541,0.000035250163,0.0043356996,0.0019356951,0.0648555,0.016601421,0.8854829,0.015228798,0.0001240665],"about_ca_topic_score_codex":0.00076432654,"about_ca_topic_score_gemma":0.00048157142,"teacher_disagreement_score":0.0043280814,"about_ca_system_score_codex":0.0012316,"about_ca_system_score_gemma":0.00031229827,"threshold_uncertainty_score":0.014478862},"labels":[],"label_agreement":null},{"id":"W2574293375","doi":"","title":"On two Curious Sums of Triple Multiplication of Binomial Coefficients.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Binomial coefficient; Multiplication (music); Binomial (polynomial); Arithmetic; Central binomial coefficient; Binomial theorem; Pure mathematics; Statistics; Discrete mathematics; Negative binomial distribution; Combinatorics; Poisson distribution","score_opus":0.023177763865234492,"score_gpt":0.30518804485680523,"score_spread":0.2820102809915707,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2574293375","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25648373,0.006428303,0.26999915,0.007124021,0.008702981,0.00012931049,0.00051416835,0.00066141295,0.44995692],"genre_scores_gemma":[0.8321372,0.0018660729,0.06214524,0.0019236779,0.0022062692,0.00014706783,0.00030645225,0.00044139015,0.0988266],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99893266,0.00028973486,0.000057395606,0.00015020528,0.00035577075,0.00021415502],"domain_scores_gemma":[0.9988341,0.00039436627,0.00010690487,0.00014891369,0.00022496429,0.00029086677],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010201401,0.0008239834,0.0010909977,0.002062934,0.0031542957,0.0035212513,0.0012441634,0.0014958725,0.012311572],"category_scores_gemma":[0.0043439367,0.0005590381,0.0009027558,0.0012990964,0.003855058,0.0059806365,0.0036312584,0.0029416347,0.0026473955],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002023785,0.000013130383,0.00009356844,0.00002515199,0.0000055657965,0.00025472674,0.00017427884,0.00022627016,0.00047141846,0.99263906,0.002496007,0.0035805528],"study_design_scores_gemma":[0.000008923653,0.000015105966,0.00012847947,0.000028973831,0.000008666795,0.00046051267,0.0000791576,0.0022564738,0.0005385408,0.98891276,0.0075400793,0.00002226878],"about_ca_topic_score_codex":0.00063952385,"about_ca_topic_score_gemma":0.0012470803,"teacher_disagreement_score":0.012311572,"about_ca_system_score_codex":0.0009791352,"about_ca_system_score_gemma":0.0006723384,"threshold_uncertainty_score":0.041186333},"labels":[],"label_agreement":null},{"id":"W2575947678","doi":"","title":"The Characteristic Polynomial of a kind of Hexagonal System and its Application.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Hexagonal crystal system; Polynomial; Pure mathematics; Mathematical analysis; Crystallography","score_opus":0.014732376627046328,"score_gpt":0.26071602936417854,"score_spread":0.2459836527371322,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2575947678","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42215717,0.0060783694,0.31208697,0.005390095,0.0021372223,0.00013537503,0.00075229653,0.0004096571,0.2508529],"genre_scores_gemma":[0.9703113,0.0012500668,0.015653854,0.0002226092,0.00046519132,0.000035931072,0.000119650475,0.000047398767,0.011893955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997634,0.00006924603,0.0000094314655,0.000042526663,0.000058025867,0.000057356297],"domain_scores_gemma":[0.99929047,0.00024354336,0.0001227933,0.00008289655,0.000111037916,0.00014927641],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036010102,0.00028227727,0.00041742934,0.0016567988,0.0008056275,0.001452452,0.0005899587,0.0007814312,0.006716153],"category_scores_gemma":[0.0030384792,0.0001974149,0.00040449036,0.0010178937,0.001954343,0.0019556177,0.0015424876,0.0013370679,0.00077714305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016729824,0.000008871706,0.00022648116,0.000033444765,0.000004070682,0.000069233836,0.00008890301,0.0019377987,0.00060669304,0.9909218,0.0017438607,0.0043421295],"study_design_scores_gemma":[0.000012858549,0.000019815508,0.00034725267,0.000017117636,0.000005124567,0.00030358523,0.00011551711,0.03004535,0.0003983353,0.9623509,0.0063656503,0.000018429266],"about_ca_topic_score_codex":0.0013791373,"about_ca_topic_score_gemma":0.0010915544,"teacher_disagreement_score":0.006716153,"about_ca_system_score_codex":0.0009749435,"about_ca_system_score_gemma":0.00058596674,"threshold_uncertainty_score":0.022467792},"labels":[],"label_agreement":null},{"id":"W2578367249","doi":"","title":"The fifth coefficient of adjoint polynomial and a new invariant.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Invariant (physics); Polynomial; Pure mathematics; Mathematical analysis; Mathematical physics","score_opus":0.028306743937358922,"score_gpt":0.273460664847402,"score_spread":0.24515392091004307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2578367249","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3446928,0.0023321041,0.31286216,0.0055006044,0.0051479186,0.000078348625,0.0005065563,0.0005843041,0.32829517],"genre_scores_gemma":[0.9213388,0.0005630169,0.025351172,0.00070169894,0.00096204947,0.000025795936,0.0001819653,0.00015917588,0.05071644],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996123,0.00005498189,0.000014864427,0.0000745953,0.00014553386,0.000097727774],"domain_scores_gemma":[0.99946517,0.0000808862,0.00008143334,0.000080573314,0.00011726357,0.0001747297],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004540596,0.00040008134,0.0004516532,0.0017624317,0.0009146381,0.0016287016,0.0006855253,0.0007450574,0.007978765],"category_scores_gemma":[0.001492511,0.00018447315,0.00061502826,0.0008359975,0.0026786216,0.0027595323,0.0016054369,0.0020669636,0.0012919311],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014469003,0.000014391002,0.00008624167,0.000013430786,0.0000022112717,0.000101957856,0.00006960584,0.00018487342,0.0012357496,0.9933611,0.00132324,0.0035926541],"study_design_scores_gemma":[0.000014598421,0.000033950793,0.00043774635,0.000018264951,0.000008685126,0.0004806598,0.00010198317,0.0048541594,0.0016034001,0.9772037,0.015222143,0.000020659707],"about_ca_topic_score_codex":0.00062966614,"about_ca_topic_score_gemma":0.0007828011,"teacher_disagreement_score":0.007978765,"about_ca_system_score_codex":0.0008291431,"about_ca_system_score_gemma":0.00066284335,"threshold_uncertainty_score":0.026691616},"labels":[],"label_agreement":null},{"id":"W2594307486","doi":"10.1090/surv/210/05","title":"Linear relations between points in polynomial orbits","year":2016,"lang":"en","type":"book-chapter","venue":"Mathematical surveys and monographs","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Waterloo","funders":"","keywords":"Mathematics; Polynomial; Pure mathematics; Mathematical analysis","score_opus":0.056942781194370774,"score_gpt":0.30255488564399874,"score_spread":0.24561210444962797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594307486","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16929032,0.009239401,0.4182653,0.0030810137,0.000899527,0.0001857646,0.0014152091,0.000671695,0.3969517],"genre_scores_gemma":[0.8057375,0.008010224,0.05955899,0.00042599897,0.0012548269,0.00019065409,0.0011575258,0.00044385297,0.12322049],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994868,0.000096971264,0.000031231455,0.00013488329,0.00017884323,0.000071241775],"domain_scores_gemma":[0.99924016,0.0003775905,0.00009132851,0.000100739984,0.00013120251,0.00005902846],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042329382,0.0005399336,0.00047806525,0.0017048417,0.0012887887,0.0025233557,0.0007554226,0.00064888387,0.012445779],"category_scores_gemma":[0.0022211538,0.0004946971,0.0004783743,0.0023926187,0.0031280704,0.004569269,0.0018681367,0.0027572212,0.0027875886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011983228,0.000005142179,0.00006512873,0.000044404238,0.0000027920157,0.000021352556,0.0002873094,0.0005435791,0.00031477938,0.986602,0.0016054452,0.010496034],"study_design_scores_gemma":[0.0000046960195,0.000008969209,0.00013827751,0.000019437603,0.000004495518,0.000047259615,0.0000926214,0.0016052448,0.0003624946,0.9860833,0.011625826,0.000007335565],"about_ca_topic_score_codex":0.0011727783,"about_ca_topic_score_gemma":0.00089014653,"teacher_disagreement_score":0.012445779,"about_ca_system_score_codex":0.0013500564,"about_ca_system_score_gemma":0.0005846926,"threshold_uncertainty_score":0.041635275},"labels":[],"label_agreement":null},{"id":"W2596207347","doi":"10.1016/j.jde.2017.03.003","title":"Instability in time-delayed switched systems induced by fast and random switching","year":2017,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Canada Research Chairs; International Development Research Centre","keywords":"Mathematics; Instability; Control theory (sociology); Computer science; Mechanics; Physics","score_opus":0.03602434917152395,"score_gpt":0.3153120371470588,"score_spread":0.2792876879755348,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2596207347","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79109144,0.00049673946,0.19497897,0.0005642796,0.0002264178,0.000046908124,0.00010639086,0.00025224956,0.012236588],"genre_scores_gemma":[0.9978776,0.00007863662,0.0009033557,0.000022942666,0.000022045175,0.000011489601,0.000016468251,0.000007944577,0.0010596534],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9997942,0.00005587574,0.000012083642,0.000044108834,0.000053881115,0.000039893464],"domain_scores_gemma":[0.9990125,0.0004368713,0.00023733545,0.000057101694,0.00015245864,0.000103773804],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004462305,0.00041239517,0.00056877045,0.0006394659,0.00047335817,0.0010338781,0.00041583477,0.0005329692,0.0016701443],"category_scores_gemma":[0.0018098096,0.00019104255,0.0005153001,0.0002699294,0.0008330759,0.00059577264,0.0007348862,0.00055609364,0.00011083967],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010211754,0.00019685912,0.006041068,0.00023422377,0.00033291735,0.0016465939,0.0006417741,0.49816984,0.09008151,0.3750415,0.0019850817,0.02460747],"study_design_scores_gemma":[0.00003194181,0.00009912116,0.0015198941,0.000008678979,0.00003311968,0.00015724798,0.0000775405,0.9575643,0.0018354405,0.038266122,0.00038456108,0.000021989114],"about_ca_topic_score_codex":0.001056078,"about_ca_topic_score_gemma":0.00066553644,"teacher_disagreement_score":0.0016701443,"about_ca_system_score_codex":0.00054389355,"about_ca_system_score_gemma":0.00038072237,"threshold_uncertainty_score":0.00558722},"labels":[],"label_agreement":null},{"id":"W2600540611","doi":"","title":"On dynamics of power series over unramified extensions of ℚp","year":2002,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Series (stratigraphy); Dynamics (music); Power (physics); Mathematics; Physics; Geology; Paleontology","score_opus":0.026909570901536107,"score_gpt":0.29963325867701895,"score_spread":0.27272368777548284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2600540611","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7314168,0.0032293708,0.13104255,0.0045549897,0.0010736615,0.000066916284,0.00021914403,0.0003255385,0.12807097],"genre_scores_gemma":[0.9630373,0.0018349761,0.008728934,0.00031577676,0.00060456817,0.00004434385,0.00012758217,0.000116725925,0.025189813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996606,0.00007550951,0.000017495822,0.000064089225,0.000101694946,0.000080672355],"domain_scores_gemma":[0.9984456,0.0005780706,0.00025849068,0.00012242264,0.00022930924,0.00036604705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010946784,0.0009174918,0.0008065504,0.0020672174,0.0015774935,0.002817366,0.0011075636,0.000977702,0.0077260425],"category_scores_gemma":[0.0044381917,0.000402939,0.00072709605,0.0011338082,0.002782114,0.00639325,0.0015865307,0.0019955765,0.00062871986],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030736086,0.000021593058,0.00015487881,0.000020469357,0.0000059713125,0.0001229216,0.00032327703,0.0012030664,0.0010053602,0.9937594,0.0005154028,0.0028369662],"study_design_scores_gemma":[0.00002697533,0.000029914405,0.00026438283,0.000023631947,0.000005907209,0.0001636529,0.00011486956,0.016282301,0.00039798938,0.98087823,0.001795122,0.00001702384],"about_ca_topic_score_codex":0.00090192055,"about_ca_topic_score_gemma":0.00073106814,"teacher_disagreement_score":0.0077260425,"about_ca_system_score_codex":0.0013441644,"about_ca_system_score_gemma":0.0005611954,"threshold_uncertainty_score":0.025846183},"labels":[],"label_agreement":null},{"id":"W2606222433","doi":"10.1016/j.jmaa.2017.04.019","title":"Bifurcation of limit cycles in a cubic-order planar system around a nilpotent critical point","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Nilpotent; Mathematics; Critical point (mathematics); Limit (mathematics); Bifurcation; Planar; Infinite-period bifurcation; Mathematical analysis; Bifurcation theory; Limit cycle; Pure mathematics; Physics; Quantum mechanics; Nonlinear system","score_opus":0.035690908866210104,"score_gpt":0.34256303845216196,"score_spread":0.30687212958595184,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2606222433","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95636594,0.00022407727,0.015565606,0.00051830604,0.00007247544,0.000052660624,0.000067847985,0.00017992085,0.026953138],"genre_scores_gemma":[0.9968714,0.000047056044,0.0014099459,0.000028587734,0.000012762834,0.000015090316,0.000026234557,0.000014095693,0.0015749594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999305,0.00001345713,0.0000035551259,0.000012005797,0.000018374449,0.000022109896],"domain_scores_gemma":[0.99976975,0.000038831153,0.000053329077,0.00001808129,0.000043235374,0.00007680178],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015472516,0.00025419687,0.0004544279,0.0012827984,0.0012964149,0.0013346106,0.0005595149,0.0008771661,0.0035080947],"category_scores_gemma":[0.00095212954,0.00021629684,0.0003620773,0.00036701545,0.0012604209,0.0007339473,0.0011205599,0.00049040536,0.00031594766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006187705,0.00022586051,0.0074860025,0.00026112847,0.00013142567,0.003151247,0.0021015315,0.13179003,0.05695811,0.7714595,0.0042991363,0.021517199],"study_design_scores_gemma":[0.00011610996,0.00020816702,0.004795185,0.00005485692,0.000053121355,0.00085364754,0.00084370753,0.664183,0.0055539114,0.31953087,0.0037300428,0.00007738146],"about_ca_topic_score_codex":0.0025683625,"about_ca_topic_score_gemma":0.0017324943,"teacher_disagreement_score":0.0035080947,"about_ca_system_score_codex":0.0010441025,"about_ca_system_score_gemma":0.0006952653,"threshold_uncertainty_score":0.011735737},"labels":[],"label_agreement":null},{"id":"W2607619997","doi":"10.1090/crmp/054","title":"Affine Algebraic Geometry","year":2011,"lang":"en","type":"book","venue":"CRM proceedings & lecture notes","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; University of Ottawa","funders":"","keywords":"Mathematics; Automorphism; Holomorphic function; Pure mathematics; Type (biology); Algebraic surface; Combinatorics; Algebraic number; Mathematical analysis","score_opus":0.037500788038123005,"score_gpt":0.275476959965898,"score_spread":0.23797617192777498,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2607619997","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05326676,0.084686585,0.036008965,0.010395058,0.0026422432,0.00003626853,0.0008959865,0.0003144735,0.8117537],"genre_scores_gemma":[0.6918858,0.043180477,0.013177008,0.0007352039,0.005603045,0.000057307283,0.0008488592,0.00013689516,0.24437535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997693,0.000057371788,0.000011347136,0.00005130566,0.000089219284,0.000021472259],"domain_scores_gemma":[0.9997608,0.00004576321,0.00003415912,0.000040367177,0.000075636504,0.000043229793],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023568665,0.0004346738,0.00033569735,0.0013249328,0.00081877696,0.0026141193,0.00031887417,0.00034026502,0.0144255115],"category_scores_gemma":[0.0007302441,0.00018280967,0.0003298243,0.0010566732,0.0017593438,0.00199335,0.0013455643,0.0012672993,0.0027129669],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005896886,0.0000047182193,0.00020945302,0.000046781126,0.000005924789,0.00005240772,0.0001801549,0.0006754865,0.0003408424,0.9705394,0.0107718045,0.017167058],"study_design_scores_gemma":[0.000005787661,0.000012417093,0.0014117783,0.000046910216,0.0000058162454,0.00023076878,0.00017343869,0.001539812,0.00022298127,0.75273746,0.24360564,0.0000071694303],"about_ca_topic_score_codex":0.0018656532,"about_ca_topic_score_gemma":0.0014648045,"teacher_disagreement_score":0.0144255115,"about_ca_system_score_codex":0.0020733844,"about_ca_system_score_gemma":0.0006915547,"threshold_uncertainty_score":0.048258185},"labels":[],"label_agreement":null},{"id":"W2607716262","doi":"10.1090/amsip/025/09","title":"On some applications of a class of totally positive bases","year":2002,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Class (philosophy); Computer science; Mathematics; Artificial intelligence","score_opus":0.06674227400562861,"score_gpt":0.34855475272130426,"score_spread":0.28181247871567566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2607716262","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.048164755,0.016369894,0.22513598,0.004407486,0.002335568,0.000060001934,0.00020988262,0.00017091708,0.70314556],"genre_scores_gemma":[0.68864214,0.02354804,0.11756259,0.002377313,0.0038950897,0.00022078109,0.00036175325,0.0003114038,0.16308087],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997265,0.0000881706,0.000013285214,0.0000399364,0.000094619325,0.000037511196],"domain_scores_gemma":[0.99965215,0.00016585729,0.00002280304,0.000043733202,0.00007089175,0.000044543776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006526165,0.0006640307,0.0005804448,0.0012307644,0.0015620668,0.0020646348,0.00078630744,0.00077745266,0.0050718975],"category_scores_gemma":[0.0014994757,0.00035161973,0.000822585,0.0016607661,0.0028809234,0.003024818,0.0017395482,0.002891464,0.00061092764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000040557147,0.0000039539054,0.000016876116,0.000014808019,0.0000017431104,0.000017925413,0.000052827196,0.00021173502,0.00019570191,0.99094385,0.0012768713,0.007259648],"study_design_scores_gemma":[0.0000029481303,0.0000057780135,0.00004272958,0.000012464487,0.0000025366696,0.00007157538,0.000030189283,0.00091385323,0.00013448237,0.98696923,0.011811031,0.0000031569484],"about_ca_topic_score_codex":0.00073526235,"about_ca_topic_score_gemma":0.0008498596,"teacher_disagreement_score":0.0050718975,"about_ca_system_score_codex":0.00087969383,"about_ca_system_score_gemma":0.00044745745,"threshold_uncertainty_score":0.016967237},"labels":[],"label_agreement":null},{"id":"W2607851375","doi":"10.4153/cmb-2017-026-6","title":"Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z<sub>2</sub>-symmetries","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"FP7 People: Marie-Curie Actions; Agència de Gestió d'Ajuts Universitaris i de Recerca; Fundação para a Ciência e a Tecnologia","keywords":"Phase portrait; Mathematics; Homogeneous space; Quadratic differential; Polynomial; Quadratic equation; Mathematical analysis; Pure mathematics; Geometry; Bifurcation; Nonlinear system","score_opus":0.029279171561445865,"score_gpt":0.29235589465136413,"score_spread":0.26307672308991825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2607851375","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81710094,0.00071308465,0.08835123,0.0010990581,0.00014732816,0.00009082669,0.00040289937,0.00017438001,0.09192017],"genre_scores_gemma":[0.98061234,0.00031238413,0.005705298,0.00006567051,0.000047738562,0.00004179992,0.00014288627,0.00004783025,0.0130241215],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999337,0.00001041152,0.0000029617106,0.000009998633,0.000028224224,0.000014605394],"domain_scores_gemma":[0.9998903,0.00002077365,0.000027833445,0.000010452443,0.00002534873,0.000025208978],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014488104,0.00032592734,0.00028068636,0.0006810176,0.00044715576,0.00077510625,0.0002484214,0.00030095616,0.005330392],"category_scores_gemma":[0.00041908104,0.0001426855,0.00033184636,0.00024928432,0.0005938765,0.00077951903,0.0006190013,0.0005951548,0.00038913172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009434349,0.000039911185,0.001462564,0.00007227312,0.000022143211,0.0005692398,0.00056048244,0.027804522,0.037794277,0.91340727,0.002836137,0.015336794],"study_design_scores_gemma":[0.000075288204,0.00012545958,0.004244095,0.000028402837,0.0000143350335,0.0008368556,0.0005411239,0.24700256,0.0075862356,0.7287546,0.010751348,0.00003963197],"about_ca_topic_score_codex":0.00083817466,"about_ca_topic_score_gemma":0.000717094,"teacher_disagreement_score":0.005330392,"about_ca_system_score_codex":0.00060985633,"about_ca_system_score_gemma":0.00019519356,"threshold_uncertainty_score":0.017831922},"labels":[],"label_agreement":null},{"id":"W2609671817","doi":"10.1090/amsip/038/04","title":"A rational map between two threefolds","year":2006,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Queen's University","funders":"","keywords":"Mathematics; Geography","score_opus":0.1212123241549846,"score_gpt":0.3918147370537625,"score_spread":0.2706024128987779,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609671817","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26439646,0.002020464,0.0743763,0.0042527267,0.0034499425,0.00018338194,0.0003465528,0.0008549563,0.65011925],"genre_scores_gemma":[0.80930185,0.0017001996,0.025322635,0.00048470055,0.0010102461,0.00011826171,0.00025258874,0.00043339646,0.16137616],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995567,0.00009174318,0.000021823318,0.00009338873,0.00014362829,0.00009276055],"domain_scores_gemma":[0.99970955,0.00008296359,0.000032246324,0.000037541908,0.00005730105,0.00008032216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057246175,0.0013111795,0.00082009187,0.0030434811,0.0024223318,0.0040017795,0.00077780423,0.001500044,0.012506548],"category_scores_gemma":[0.0009268024,0.0006906455,0.0007974439,0.0012907486,0.003938631,0.004268575,0.0028922257,0.0033721707,0.0023756374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021783791,0.000015132797,0.00004997742,0.00002845114,0.0000059027716,0.00015054099,0.00034375148,0.00015150683,0.0012147925,0.9901725,0.0015574716,0.0062882667],"study_design_scores_gemma":[0.000039518927,0.00006304426,0.00047724214,0.00004771227,0.000023668419,0.00083677174,0.0006035847,0.0013831253,0.0012630617,0.9587843,0.036451563,0.000026331307],"about_ca_topic_score_codex":0.0005706844,"about_ca_topic_score_gemma":0.00037552253,"teacher_disagreement_score":0.012506548,"about_ca_system_score_codex":0.0013801359,"about_ca_system_score_gemma":0.00047696484,"threshold_uncertainty_score":0.041838586},"labels":[],"label_agreement":null},{"id":"W2616231791","doi":"10.1109/lcsys.2017.2705096","title":"An Extension of Lyapunov’s First Method to Nonlinear Systems With Non-Continuously Differentiable Vector Fields","year":2017,"lang":"en","type":"article","venue":"IEEE Control Systems Letters","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Jacobian matrix and determinant; Differentiable function; Extension (predicate logic); Nonlinear system; Lyapunov function; Vector field; Field (mathematics); Mathematics; Pure mathematics; Stability (learning theory); Applied mathematics; Discrete mathematics; Computer science; Physics","score_opus":0.021478123293081366,"score_gpt":0.30474469423060235,"score_spread":0.283266570937521,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2616231791","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009058633,0.00048573848,0.98724955,0.00014104064,0.00008978315,0.000029197454,0.000011680212,0.000064469794,0.0028699022],"genre_scores_gemma":[0.71655023,0.0025708617,0.26691952,0.000156504,0.00023342502,0.00019154545,0.00007692961,0.00011572315,0.013185257],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99969745,0.000107788954,0.00001912902,0.000055759243,0.00009737902,0.000022519405],"domain_scores_gemma":[0.99945885,0.0002916483,0.00005571649,0.000050532082,0.00011639988,0.000026772099],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097129017,0.0007088417,0.00060369185,0.0005834016,0.00031361138,0.00046245786,0.0005773478,0.0005466572,0.00090763485],"category_scores_gemma":[0.0018066345,0.00024666754,0.0007453663,0.00032090713,0.00061272713,0.0006970211,0.00082579046,0.00084467453,0.00025372326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012945801,0.00009943078,0.0012498208,0.00063756364,0.00008583714,0.0006546063,0.00052213046,0.48579744,0.046851125,0.28604105,0.0021182504,0.17581329],"study_design_scores_gemma":[0.0000073980514,0.00011152954,0.00016636896,0.000020643072,0.000009331363,0.00007273127,0.000012903009,0.9792443,0.0024897412,0.014496249,0.0033543543,0.00001446312],"about_ca_topic_score_codex":0.0010830753,"about_ca_topic_score_gemma":0.0009620439,"teacher_disagreement_score":0.0010830753,"about_ca_system_score_codex":0.000515616,"about_ca_system_score_gemma":0.0007762512,"threshold_uncertainty_score":0.0051367283},"labels":[],"label_agreement":null},{"id":"W2765008581","doi":"","title":"A note on triangular derivations of k[X~1,X~2,X~3,X~4]","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Integer (computer science); Mathematics; Field (mathematics); Zero (linguistics); Ring (chemistry); Combinatorics; Finitely-generated abelian group; Construct (python library); Discrete mathematics; Pure mathematics; Chemistry; Computer science","score_opus":0.028838942700164207,"score_gpt":0.3142923314668688,"score_spread":0.2854533887667046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765008581","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24842758,0.0041711293,0.33344245,0.0059373663,0.0023522915,0.00020612347,0.0007136955,0.00092422636,0.4038251],"genre_scores_gemma":[0.7329187,0.0048533776,0.17216668,0.0017953749,0.0005272514,0.00009274912,0.0007470038,0.00034042247,0.08655843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997552,0.00004899671,0.000020293983,0.000042413914,0.00008745936,0.000045630906],"domain_scores_gemma":[0.9995679,0.00016050572,0.000033483306,0.000091435526,0.00007429091,0.000072407995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040191202,0.00034662304,0.00035464202,0.00038565364,0.0011047513,0.00089189335,0.00064807606,0.0003506294,0.006789019],"category_scores_gemma":[0.001009624,0.00019729315,0.0004745936,0.00065663934,0.001181955,0.0023283272,0.0018130781,0.0017557007,0.0015192797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007082252,0.000032527958,0.0005292504,0.00012275584,0.0000069322286,0.0005912791,0.00063978176,0.0008794697,0.006254266,0.94999504,0.0068575,0.034020476],"study_design_scores_gemma":[0.000023856528,0.00011970749,0.0008372521,0.00004549021,0.000024256538,0.0011040926,0.0002997229,0.0053677117,0.010934771,0.89077586,0.09042002,0.00004733532],"about_ca_topic_score_codex":0.0012550306,"about_ca_topic_score_gemma":0.0027618338,"teacher_disagreement_score":0.006789019,"about_ca_system_score_codex":0.00044975488,"about_ca_system_score_gemma":0.000395977,"threshold_uncertainty_score":0.022711575},"labels":[],"label_agreement":null},{"id":"W2796860530","doi":"10.1017/s030500411800018x","title":"Duality between loci of complex polynomials and the zeros of polar derivatives","year":2018,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Locus (genetics); Mathematics; Polar; Pure mathematics; Polynomial; Bounded function; Duality (order theory); Algebra over a field; Mathematical analysis; Physics","score_opus":0.06747861736425384,"score_gpt":0.3173171173225936,"score_spread":0.24983849995833976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2796860530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5574394,0.0014031207,0.33386853,0.0018351534,0.00029659847,0.000055364744,0.0002685318,0.00021633045,0.10461693],"genre_scores_gemma":[0.98692364,0.00028406983,0.008019297,0.000089430374,0.00012593615,0.000017384684,0.000048326863,0.000038678932,0.0044532535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99930847,0.0001948971,0.000030463492,0.00013266248,0.00023630189,0.00009716046],"domain_scores_gemma":[0.99801683,0.00069174217,0.00032081775,0.0002059238,0.00035907672,0.00040555862],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010767161,0.0003902979,0.00045586156,0.0016185621,0.00071945786,0.003615388,0.00061355607,0.0006107449,0.0053337305],"category_scores_gemma":[0.0037593117,0.00020700293,0.0003787184,0.00062665454,0.00514468,0.0041254726,0.0029216963,0.0020453092,0.0006536159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002412339,0.0000066364823,0.00018499512,0.000014609852,0.000001871722,0.00008810347,0.00014555233,0.000670503,0.00116473,0.99551964,0.00014855282,0.0020306727],"study_design_scores_gemma":[0.000012801618,0.000032019605,0.0004226668,0.000020648975,0.0000030967806,0.00023979618,0.00020994352,0.0064492924,0.00095204264,0.98890674,0.00273938,0.00001162071],"about_ca_topic_score_codex":0.00021596445,"about_ca_topic_score_gemma":0.00008508241,"teacher_disagreement_score":0.0053337305,"about_ca_system_score_codex":0.00080308743,"about_ca_system_score_gemma":0.0003225229,"threshold_uncertainty_score":0.017843068},"labels":[],"label_agreement":null},{"id":"W2808834761","doi":"10.1142/s0218127418500785","title":"An Improvement on the Number of Limit Cycles Bifurcating from a Nondegenerate Center of Homogeneous Polynomial Systems","year":2018,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Limit (mathematics); Mathematics; Homogeneous; Degree (music); Center (category theory); Polynomial; Combinatorics; Pure mathematics; Physics; Mathematical analysis","score_opus":0.03391917856334108,"score_gpt":0.33873563095570364,"score_spread":0.30481645239236255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2808834761","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36257753,0.005378867,0.56716156,0.003089501,0.0010100593,0.0001524188,0.0003311934,0.00067630305,0.059622567],"genre_scores_gemma":[0.9283736,0.0015462165,0.06441473,0.00027603898,0.00036900066,0.000050126713,0.00013730889,0.00012686626,0.004706206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885213,0.0003125769,0.000057971705,0.00037717784,0.00028675026,0.000113420305],"domain_scores_gemma":[0.994649,0.0031296285,0.00032447086,0.00090291555,0.0006656786,0.00032822049],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002013128,0.00088257267,0.001288223,0.0013135374,0.0010405524,0.00084599835,0.0018213148,0.0010514045,0.00408376],"category_scores_gemma":[0.010490764,0.00025752277,0.0007644562,0.0007317627,0.0024980998,0.004466153,0.0022663688,0.0019750088,0.00050749385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001416068,0.00037318488,0.009359025,0.0008422139,0.00014646108,0.0004507896,0.0008476837,0.07334675,0.042632483,0.6777304,0.006398793,0.18645619],"study_design_scores_gemma":[0.00006196175,0.00036723274,0.0030196381,0.00008867641,0.000188997,0.0004207753,0.0001285443,0.51590997,0.038020503,0.42980587,0.011898347,0.00008956098],"about_ca_topic_score_codex":0.00063383847,"about_ca_topic_score_gemma":0.0005494928,"teacher_disagreement_score":0.00408376,"about_ca_system_score_codex":0.0010765423,"about_ca_system_score_gemma":0.000663709,"threshold_uncertainty_score":0.013661504},"labels":[],"label_agreement":null},{"id":"W2809472336","doi":"10.5539/mas.v12n7p37","title":"Dynamic Behavior Analysis of a Rotating Smooth and Discontinuous Oscillator with Irrational Nonlinearity","year":2018,"lang":"en","type":"article","venue":"Modern Applied Science","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Hebei University; Natural Science Foundation of Hebei Province; National Natural Science Foundation of China","keywords":"Phase portrait; Attractor; Nonlinear system; Bifurcation; Chaotic; Bifurcation diagram; Hamiltonian system; Lyapunov exponent; Mathematical analysis; Heteroclinic bifurcation; Physics; Classical mechanics; Mathematics; Quantum mechanics; Computer science","score_opus":0.022016731082352844,"score_gpt":0.3148142913793553,"score_spread":0.29279756029700243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2809472336","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.805857,0.00036993204,0.1826794,0.00026586518,0.00005140454,0.00003636149,0.000093833565,0.00014969158,0.010496543],"genre_scores_gemma":[0.9952809,0.00007383641,0.0034645428,0.000009274838,0.000007008877,0.000013865831,0.00001810416,0.000004773704,0.0011275798],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9999236,0.000019228963,0.0000036513256,0.000020271516,0.000017827388,0.000015298723],"domain_scores_gemma":[0.9999083,0.000013359879,0.00003430451,0.000014249498,0.000015194195,0.0000145393315],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013423378,0.0003043056,0.00037503598,0.0002760063,0.00029931372,0.000375066,0.00046902656,0.0003982368,0.0010741788],"category_scores_gemma":[0.00030315228,0.00014557468,0.0003162472,0.00014150806,0.0005877715,0.0003441953,0.0005018053,0.0002201968,0.0001128517],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018503553,0.000059031925,0.0065886728,0.00016002986,0.00009992661,0.0015437525,0.00048501408,0.7464699,0.116934374,0.11532754,0.00084606395,0.0113006495],"study_design_scores_gemma":[0.0000067689384,0.0000574916,0.0008440195,0.0000026756827,0.000006665184,0.00006316958,0.000033622233,0.9957087,0.0007119741,0.0021716927,0.00038296476,0.000010144735],"about_ca_topic_score_codex":0.002260271,"about_ca_topic_score_gemma":0.0012854236,"teacher_disagreement_score":0.002260271,"about_ca_system_score_codex":0.00025645498,"about_ca_system_score_gemma":0.0002665732,"threshold_uncertainty_score":0.00449425},"labels":[],"label_agreement":null},{"id":"W2809953229","doi":"10.4153/s0008439520000739","title":"On a rationality problem for fields of cross-ratios II","year":2020,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Order (exchange); Combinatorics; Field (mathematics); Mathematics; Group (periodic table); Crystallography; Stereochemistry; Physics; Chemistry; Quantum mechanics; Pure mathematics","score_opus":0.06792386018887454,"score_gpt":0.3447655820376741,"score_spread":0.27684172184879957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2809953229","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39500502,0.0032501412,0.10075175,0.04975153,0.0006944673,0.00017749594,0.0012332586,0.0005655188,0.44857088],"genre_scores_gemma":[0.9598949,0.0008544326,0.011379156,0.0014198811,0.00065253663,0.00009319399,0.0005894784,0.00014787924,0.024968551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99637234,0.0011274404,0.0001662973,0.0006684458,0.00070498994,0.0009605188],"domain_scores_gemma":[0.9943381,0.0036899294,0.00037205245,0.00063556136,0.000507485,0.00045688185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038899102,0.0006370537,0.0012923036,0.0017563951,0.0039934767,0.0059367875,0.0015308361,0.0028801851,0.012776636],"category_scores_gemma":[0.007972303,0.00065471506,0.0014217569,0.0015659067,0.008799252,0.010559014,0.004570197,0.004747892,0.0018676254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005227458,0.00001610357,0.00030379242,0.00002926759,0.0000065047616,0.00010945134,0.00026902888,0.0010011917,0.00022217959,0.992677,0.0031797285,0.0021335443],"study_design_scores_gemma":[0.000052653766,0.000013250816,0.00026271632,0.000030471196,0.000009459731,0.000061271145,0.00025950183,0.0033860388,0.00030331,0.988766,0.00683729,0.000018035567],"about_ca_topic_score_codex":0.0053277686,"about_ca_topic_score_gemma":0.0025846225,"teacher_disagreement_score":0.012776636,"about_ca_system_score_codex":0.004568503,"about_ca_system_score_gemma":0.0022663567,"threshold_uncertainty_score":0.042742133},"labels":[],"label_agreement":null},{"id":"W281344291","doi":"10.1007/978-3-0348-0351-9_6","title":"Automorphic Vector Bundles and Local Systems","year":2012,"lang":"en","type":"book-chapter","venue":"Progress in mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Vector bundle; Mathematics; Pure mathematics","score_opus":0.04970834264417355,"score_gpt":0.30309622892918225,"score_spread":0.2533878862850087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W281344291","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.010880401,0.060345624,0.023910996,0.0040270486,0.002181102,0.000018567569,0.00016115785,0.00029202015,0.8981831],"genre_scores_gemma":[0.20372857,0.061766155,0.011347772,0.0011759822,0.005057108,0.000089254274,0.0003798534,0.00029794202,0.7161573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998779,0.000035015295,0.00000558325,0.000017682518,0.000050654955,0.000013155728],"domain_scores_gemma":[0.9998919,0.00003784358,0.000009461129,0.000020236379,0.000027347094,0.000013335486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023542519,0.0006621624,0.0004213212,0.0010935597,0.0008648035,0.0024248115,0.00048721512,0.00065750635,0.010918526],"category_scores_gemma":[0.00036913346,0.0002773495,0.00020086755,0.0016813739,0.0017168656,0.0030039202,0.00072554895,0.0019720204,0.0028090684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003206112,0.000011225875,0.00003197192,0.000046548997,0.0000020259804,0.000017655864,0.00017769657,0.00018613404,0.00024469168,0.96013474,0.018470867,0.020673258],"study_design_scores_gemma":[0.0000030010879,0.000005001038,0.00016377479,0.000051683794,0.0000027769877,0.00010711399,0.00006594132,0.00037701358,0.00013396925,0.7551434,0.24394092,0.0000053223234],"about_ca_topic_score_codex":0.0005710519,"about_ca_topic_score_gemma":0.0009053016,"teacher_disagreement_score":0.010918526,"about_ca_system_score_codex":0.0011096764,"about_ca_system_score_gemma":0.00051769,"threshold_uncertainty_score":0.036526144},"labels":[],"label_agreement":null},{"id":"W2886292945","doi":"10.1007/s00373-019-02064-9","title":"On Rigidity of Unit-Bar Frameworks","year":2019,"lang":"en","type":"preprint","venue":"Graphs and Combinatorics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"H2020 European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Infinitesimal; Rigidity (electromagnetism); Unit (ring theory); Bar (unit); Bipartite graph; Mathematics; Plane (geometry); Combinatorics; Geometry; Pure mathematics; Physics; Mathematical analysis; Graph; Quantum mechanics","score_opus":0.036954822076238736,"score_gpt":0.30713864260537976,"score_spread":0.270183820529141,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2886292945","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44482926,0.004360499,0.2789665,0.0068778195,0.00075474265,0.000105000014,0.0010489437,0.0006456081,0.26241168],"genre_scores_gemma":[0.95303476,0.0014548148,0.024741406,0.0006379219,0.00045807695,0.0000921478,0.00057774514,0.00018478704,0.018818345],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985826,0.00049655314,0.00006516069,0.00029378026,0.0002827222,0.00027927017],"domain_scores_gemma":[0.99717677,0.0014594039,0.00032307135,0.0003774393,0.00028503253,0.0003782757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013589102,0.00078698393,0.00104986,0.0028929256,0.0031599952,0.0038504314,0.0021471106,0.002672466,0.012019173],"category_scores_gemma":[0.0060161636,0.00073197234,0.0012241073,0.0022151794,0.004803179,0.00786334,0.0043050135,0.003747647,0.0010858099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000148653435,0.0000067746823,0.000060850387,0.000019244633,0.0000033031686,0.000019001769,0.00009673851,0.0010243362,0.000115348266,0.9969928,0.00037737977,0.001269231],"study_design_scores_gemma":[0.000004409691,0.0000046918503,0.000086944594,0.000010382752,0.0000035048663,0.000018525665,0.000060899467,0.0025543948,0.000048941234,0.99611217,0.0010885553,0.0000065131626],"about_ca_topic_score_codex":0.0026577762,"about_ca_topic_score_gemma":0.002331361,"teacher_disagreement_score":0.012019173,"about_ca_system_score_codex":0.0016705785,"about_ca_system_score_gemma":0.0008419822,"threshold_uncertainty_score":0.04020816},"labels":[],"label_agreement":null},{"id":"W2887864120","doi":"10.1090/tran/7178","title":"𝔸¹-equivalence of zero cycles on surfaces","year":2017,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Zero (linguistics); Equivalence (formal languages); Pure mathematics; Combinatorics","score_opus":0.04743139382149542,"score_gpt":0.34305191121931294,"score_spread":0.29562051739781753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2887864120","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85752624,0.000525869,0.03225667,0.00058668986,0.00018486899,0.000050338043,0.00012554874,0.00023600947,0.10850773],"genre_scores_gemma":[0.9834051,0.00020625685,0.002461547,0.00008985174,0.00010438404,0.000025697309,0.00015037207,0.000051435192,0.013505368],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993286,0.000070395,0.00003027039,0.00016549429,0.00023652332,0.00016879008],"domain_scores_gemma":[0.99957055,0.00012212107,0.000058565733,0.00003961565,0.00011122889,0.00009808718],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029123924,0.00052964455,0.00042911846,0.0018238792,0.0014096851,0.0020262222,0.0006788549,0.0005657034,0.008435395],"category_scores_gemma":[0.0015981712,0.00024899002,0.0005367791,0.0007205335,0.0024636574,0.0032158468,0.0019767175,0.0011819719,0.00067691616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004181737,0.00002704682,0.0013742099,0.00004089521,0.0000073117035,0.00015952594,0.0005435082,0.0006934714,0.0015309723,0.9839909,0.0007937575,0.010796527],"study_design_scores_gemma":[0.000021964406,0.00005770318,0.00210857,0.000025879826,0.000012359021,0.00027645746,0.00057657214,0.0057407985,0.0027935586,0.9791839,0.009181201,0.000020988266],"about_ca_topic_score_codex":0.0022637188,"about_ca_topic_score_gemma":0.0012237383,"teacher_disagreement_score":0.008435395,"about_ca_system_score_codex":0.0016305519,"about_ca_system_score_gemma":0.00040397263,"threshold_uncertainty_score":0.028219223},"labels":[],"label_agreement":null},{"id":"W2888494538","doi":"10.1016/j.jde.2018.07.071","title":"Bifurcation analysis on a class of Z2-equivariant cubic switching systems showing eighteen limit cycles","year":2018,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; University of Chinese Academy of Sciences; Western University","keywords":"Mathematics; Limit (mathematics); Bifurcation; Limit cycle; Singular point of a curve; Infinite-period bifurcation; Hopf bifurcation; Mathematical analysis; Realization (probability); Planar; Amplitude; Control theory (sociology); Control (management); Physics; Quantum mechanics; Computer science","score_opus":0.06448975332280062,"score_gpt":0.33626647703500023,"score_spread":0.27177672371219963,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2888494538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9643989,0.00016717306,0.017705034,0.00012776036,0.000021381506,0.000043992914,0.0001228875,0.0001253972,0.017287396],"genre_scores_gemma":[0.9967668,0.000044080873,0.0016220345,0.000010204981,0.0000070449933,0.000011690443,0.00006479357,0.000007978891,0.0014655043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99993134,0.000007706759,0.0000044798758,0.000013861758,0.000018988925,0.000023558923],"domain_scores_gemma":[0.99977416,0.000056135636,0.000058182082,0.00002135606,0.00004921963,0.000041019135],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013288764,0.00027438454,0.00037829313,0.00095558167,0.0010297406,0.0010007699,0.00032647004,0.00049633154,0.0031116328],"category_scores_gemma":[0.00053187023,0.0001271161,0.00037842066,0.0005709088,0.0006440197,0.00027571723,0.0005203035,0.00038531533,0.00018528017],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00060556375,0.00016758023,0.017471967,0.00028370062,0.00013135884,0.0030471284,0.0017317234,0.11694979,0.06685039,0.72855115,0.0037476406,0.06046192],"study_design_scores_gemma":[0.00010710427,0.00020204266,0.013560139,0.000037735903,0.00007870232,0.0012639932,0.0007158438,0.7221182,0.008200825,0.24763955,0.005996666,0.00007926681],"about_ca_topic_score_codex":0.0033737188,"about_ca_topic_score_gemma":0.0024654872,"teacher_disagreement_score":0.0033737188,"about_ca_system_score_codex":0.0009518198,"about_ca_system_score_gemma":0.0005410015,"threshold_uncertainty_score":0.010409415},"labels":[],"label_agreement":null},{"id":"W2898350689","doi":"10.1142/s0218127418501390","title":"Twelve Limit Cycles in 3D Quadratic Vector Fields with Z3 Symmetry","year":2018,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; University of Chinese Academy of Sciences","keywords":"Limit (mathematics); Mathematics; Quadratic equation; Vector field; Limit cycle; Symmetry (geometry); Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Center (category theory); Center manifold; Distribution (mathematics); Upper and lower bounds; Focus (optics); Combinatorics; Physics; Geometry; Quantum mechanics; Bifurcation","score_opus":0.025591778930825614,"score_gpt":0.32556301093802675,"score_spread":0.29997123200720116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2898350689","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9764788,0.00034910467,0.015183133,0.00011913945,0.000026062868,0.000024971938,0.000050054237,0.00006151976,0.0077072307],"genre_scores_gemma":[0.9927328,0.00011282214,0.005119291,0.000015042894,0.000011882785,0.000042479405,0.00008826322,0.000013121508,0.0018643414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997296,0.00004794028,0.000024862222,0.00004854481,0.000083418345,0.000065547225],"domain_scores_gemma":[0.9992865,0.00017757027,0.00017828701,0.000064217245,0.00010914151,0.00018428394],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049443496,0.00026437922,0.0005542625,0.0014510888,0.0015603438,0.0010975196,0.0005933444,0.00078654464,0.0029084645],"category_scores_gemma":[0.0013386664,0.00022894064,0.0005122518,0.00054756016,0.0014473329,0.0012224201,0.0009949347,0.0004913377,0.00022323876],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00057435205,0.00017090033,0.013833571,0.0003228177,0.00006446326,0.0011551682,0.0011279176,0.038182,0.029504173,0.86273235,0.001824865,0.050507423],"study_design_scores_gemma":[0.000120660705,0.000370897,0.011500397,0.00010961396,0.000063376014,0.0012173998,0.0007441763,0.24255688,0.02030179,0.7151053,0.007783052,0.00012640504],"about_ca_topic_score_codex":0.0005777742,"about_ca_topic_score_gemma":0.0005315502,"teacher_disagreement_score":0.0029084645,"about_ca_system_score_codex":0.0009660895,"about_ca_system_score_gemma":0.00048214258,"threshold_uncertainty_score":0.009729803},"labels":[],"label_agreement":null},{"id":"W2901480228","doi":"","title":"Avances en el estudio de propiedades topológicas de flujos analíticos sobre superficies","year":2017,"lang":"es","type":"article","venue":"Dialnet (Universidad de la Rioja)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics","score_opus":0.01911948351061023,"score_gpt":0.31713145714380797,"score_spread":0.29801197363319776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2901480228","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8145628,0.0150045315,0.112582654,0.006354465,0.00034593217,0.00029385605,0.0027835309,0.0005878772,0.047484245],"genre_scores_gemma":[0.9659475,0.0045551187,0.022708388,0.0006038702,0.00012561005,0.00018375406,0.0007060982,0.00016710171,0.005002569],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975594,0.00083358533,0.00012146866,0.0006903864,0.0005877845,0.00020734132],"domain_scores_gemma":[0.98337126,0.010169518,0.0023003977,0.0013293361,0.0024401534,0.00038935905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004727265,0.00097450835,0.0010270297,0.0025258812,0.0013225531,0.003495032,0.0014591702,0.00091162696,0.009771521],"category_scores_gemma":[0.01531839,0.0005412558,0.0015084824,0.0027681617,0.0023919803,0.0041346354,0.0020828608,0.0017146979,0.00088491023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00060813484,0.00034253893,0.6626355,0.003975761,0.0015698497,0.0008301388,0.020292345,0.021168316,0.020517496,0.057243336,0.005642758,0.20517384],"study_design_scores_gemma":[0.000022146614,0.0005517699,0.83840084,0.0012331656,0.00057504163,0.00053776975,0.029727606,0.015010201,0.0066991067,0.071281515,0.035702802,0.0002580474],"about_ca_topic_score_codex":0.022224287,"about_ca_topic_score_gemma":0.025945973,"teacher_disagreement_score":0.022224287,"about_ca_system_score_codex":0.0019497566,"about_ca_system_score_gemma":0.0020283272,"threshold_uncertainty_score":0.04418981},"labels":[],"label_agreement":null},{"id":"W2902231197","doi":"10.1016/j.jmaa.2018.11.067","title":"Periodic solutions of Abel equations with jumps","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Iterated function; Bounded variation; Bounded function; Mathematical analysis; Sequence (biology); Differential equation; Jump; Amplitude; Contraction (grammar); Riccati equation; Physics","score_opus":0.03492574321800857,"score_gpt":0.31235270008191185,"score_spread":0.2774269568639033,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2902231197","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7416922,0.00255267,0.19375308,0.003480477,0.0009699719,0.00007686575,0.00023351655,0.00027565414,0.05696579],"genre_scores_gemma":[0.9685457,0.0005647224,0.009240233,0.00020783665,0.00031576064,0.00005421981,0.00010866453,0.000053274245,0.020909583],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999713,0.000067357614,0.000020774363,0.000041506613,0.00008558192,0.00007182918],"domain_scores_gemma":[0.99903,0.00037536697,0.00021347866,0.000058301794,0.00012972324,0.00019311],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066781964,0.0006373695,0.0008504413,0.0013982428,0.00093795743,0.0017155363,0.0011697231,0.001954252,0.0046863486],"category_scores_gemma":[0.0040570768,0.00046841268,0.00066544703,0.0005466325,0.0017797947,0.0019270134,0.0019539692,0.0015391383,0.00033181155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015739891,0.00008124269,0.00081909366,0.00011974929,0.0000452367,0.00066915876,0.00029026833,0.024285788,0.0075690853,0.95833534,0.0017619977,0.0058657858],"study_design_scores_gemma":[0.00012051564,0.00007569994,0.00097296323,0.000042247633,0.000028812501,0.00043761637,0.00022415606,0.41371706,0.0014486302,0.5806476,0.0022256698,0.0000589527],"about_ca_topic_score_codex":0.0011832312,"about_ca_topic_score_gemma":0.0007793512,"teacher_disagreement_score":0.0046863486,"about_ca_system_score_codex":0.0008278014,"about_ca_system_score_gemma":0.00070070976,"threshold_uncertainty_score":0.015677392},"labels":[],"label_agreement":null},{"id":"W2903543805","doi":"10.4153/s0008439519000122","title":"A Remark on the Dixmier Conjecture","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Endomorphism; Conjecture; Automorphism; Zero (linguistics); Weyl algebra; Field (mathematics); Algebra over a field; Pure mathematics; Homogeneous; Discrete mathematics; Combinatorics","score_opus":0.021973661662136667,"score_gpt":0.24934525741305474,"score_spread":0.2273715957509181,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2903543805","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20821922,0.005629977,0.08336845,0.09409854,0.0079074595,0.0001193993,0.00092079287,0.0008968861,0.5988393],"genre_scores_gemma":[0.9417483,0.0016314936,0.015736677,0.007955634,0.0033953392,0.00009336453,0.00025589822,0.00007489383,0.02910828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99586225,0.0010819308,0.00021319036,0.0010345445,0.0011137369,0.00069420115],"domain_scores_gemma":[0.9942463,0.0033548449,0.00038809344,0.0008693834,0.0007596874,0.00038168364],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0068899025,0.00060284376,0.00094064855,0.0019528898,0.0042042374,0.0039275964,0.0017756595,0.0025014456,0.013893439],"category_scores_gemma":[0.008839097,0.0004647255,0.0009883812,0.0013823727,0.009506313,0.0066632917,0.003893685,0.004964146,0.0013131321],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051005623,0.000016143933,0.00036249327,0.000029546913,0.0000051337734,0.00017808282,0.00033094367,0.0002981871,0.00024956648,0.9896974,0.006880676,0.0019008222],"study_design_scores_gemma":[0.000032320626,0.000034107485,0.0005139113,0.000044071443,0.000010414245,0.00029746222,0.0003547488,0.0021025469,0.00063294783,0.97206014,0.023893131,0.000024289475],"about_ca_topic_score_codex":0.003633167,"about_ca_topic_score_gemma":0.0020890844,"teacher_disagreement_score":0.013893439,"about_ca_system_score_codex":0.0019419498,"about_ca_system_score_gemma":0.00089998264,"threshold_uncertainty_score":0.046478152},"labels":[],"label_agreement":null},{"id":"W2906672156","doi":"10.1016/j.physd.2021.132947","title":"Triangular Schlesinger systems and superelliptic curves","year":2021,"lang":"en","type":"preprint","venue":"Physica D Nonlinear Phenomena","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; University of Texas at Dallas","keywords":"Meromorphic function; Mathematics; Eigenvalues and eigenvectors; Riemann hypothesis; Algebraic number; Polynomial; Pure mathematics; Rational function; Matrix (chemical analysis); Algebraic curve; Riemann sphere; Characteristic polynomial; Applied mathematics; Mathematical analysis; Physics","score_opus":0.05631283482097057,"score_gpt":0.3159896429372034,"score_spread":0.25967680811623284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2906672156","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68362,0.0025973823,0.11012126,0.003320744,0.00060871977,0.00010609701,0.00040381413,0.00034312124,0.19887882],"genre_scores_gemma":[0.94467413,0.0012442186,0.014623871,0.00046262788,0.0006735932,0.0000848247,0.00038652366,0.000117803946,0.037732378],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999703,0.00008297476,0.000014118715,0.000057757854,0.000083336774,0.000058906855],"domain_scores_gemma":[0.99933547,0.00020378741,0.00014449589,0.00009163195,0.000096885866,0.00012773796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052566425,0.0007588819,0.0006585813,0.0026889239,0.0012429991,0.0025836073,0.0007537402,0.0016069709,0.012498378],"category_scores_gemma":[0.0021483726,0.00036920086,0.0005205009,0.0013157374,0.002068284,0.003396738,0.0012935553,0.0017989178,0.0011439595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025303385,0.000010925059,0.00010597837,0.000014912548,0.0000036376339,0.000058240952,0.00010298681,0.0013081247,0.0006824966,0.99442947,0.0008135808,0.002444471],"study_design_scores_gemma":[0.000012017071,0.0000085326665,0.0001706776,0.0000060828734,0.0000022391666,0.0000695082,0.00005705251,0.0074155335,0.00019881081,0.99047965,0.0015726894,0.0000071633863],"about_ca_topic_score_codex":0.0011161121,"about_ca_topic_score_gemma":0.0010341883,"teacher_disagreement_score":0.012498378,"about_ca_system_score_codex":0.0014060201,"about_ca_system_score_gemma":0.0004093733,"threshold_uncertainty_score":0.041811228},"labels":[],"label_agreement":null},{"id":"W2906828403","doi":"10.4153/cmb-2005-058-7","title":"Hyperplanes of the Form <i>f</i>1(<i>x</i>, <i>y</i>)<i>z</i><sub>1</sub> + · · · + <i>f<sub>k</sub></i>(<i>x</i>, <i>y</i>)<i>z<sub>k</sub></i> + <i>g</i>(<i>x</i>, <i>y</i>) Are Variables","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Hyperplane; Mathematics; Hypersurface; Combinatorics; Automorphism; Automorphism group; Discrete mathematics; Pure mathematics","score_opus":0.01365446950585606,"score_gpt":0.2190289766231194,"score_spread":0.20537450711726335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2906828403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8679592,0.00044693702,0.083550535,0.0008386474,0.00019238927,0.00010677524,0.0004501298,0.00013948075,0.046315987],"genre_scores_gemma":[0.9712856,0.00037621445,0.011676052,0.00007263479,0.00012509718,0.00003776928,0.0005346726,0.00004158708,0.015850484],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997626,0.000024991723,0.000015614012,0.0000772782,0.000054129046,0.0000653787],"domain_scores_gemma":[0.9996917,0.000075695934,0.000097431046,0.00004624226,0.000040857918,0.000047962247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020041416,0.00032098914,0.00035845663,0.00051326817,0.0006342693,0.0008877347,0.00055310613,0.0004315276,0.008836799],"category_scores_gemma":[0.00080816634,0.00018771776,0.00042917757,0.00047423298,0.0017763299,0.0018757855,0.0007960822,0.0013630982,0.0006315904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030345964,0.00011013075,0.003717241,0.00018850793,0.000038541104,0.0008878299,0.0008001229,0.010552879,0.01751678,0.9051994,0.003748356,0.0569367],"study_design_scores_gemma":[0.00013340588,0.00017215831,0.0066393167,0.000082548984,0.000036764333,0.0008372058,0.0015546586,0.034640968,0.013066691,0.91913974,0.023633597,0.000063038715],"about_ca_topic_score_codex":0.0021928635,"about_ca_topic_score_gemma":0.0014175267,"teacher_disagreement_score":0.008836799,"about_ca_system_score_codex":0.0008273725,"about_ca_system_score_gemma":0.00034299592,"threshold_uncertainty_score":0.029562056},"labels":[],"label_agreement":null},{"id":"W2907258951","doi":"10.4153/cmb-2016-095-3","title":"The Bifurcation Diagram of Cubic Polynomial Vector Fields on CP<sup>1</sup>","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Bifurcation diagram; Codimension; Vector field; Bifurcation; Homoclinic bifurcation; Conic section; Mathematical analysis; Diagram; Polynomial; Homoclinic orbit; Infinity; Geometry; Pure mathematics; Physics","score_opus":0.019948844463168407,"score_gpt":0.2585107772144288,"score_spread":0.23856193275126036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2907258951","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8944421,0.0004776687,0.02659771,0.00066406705,0.00009860278,0.0000580117,0.00019445771,0.00029370023,0.077173725],"genre_scores_gemma":[0.99431086,0.000106727486,0.0030283825,0.000037000715,0.000013989043,0.00001903468,0.000054852062,0.0000289537,0.002400272],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999435,0.000009427157,0.000002367781,0.000009343318,0.000019434023,0.00001589681],"domain_scores_gemma":[0.99990284,0.000021798962,0.000025457435,0.0000075832418,0.000023927369,0.00001833585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001074488,0.00020205216,0.00020001002,0.0009205447,0.00063155335,0.0006074394,0.00020718478,0.0004237494,0.0037086993],"category_scores_gemma":[0.00028007315,0.00011967057,0.00018611766,0.000278388,0.0005886649,0.0004970185,0.00026400064,0.00042113848,0.00032486452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021412567,0.00005442863,0.0024972453,0.00013553225,0.000020733207,0.0010028224,0.00048355036,0.03268125,0.069480434,0.8669549,0.003406359,0.02306864],"study_design_scores_gemma":[0.00010681221,0.0001700842,0.011018063,0.00009259743,0.00003120543,0.0016832814,0.00048902613,0.35432422,0.027735434,0.5881139,0.016146846,0.00008850214],"about_ca_topic_score_codex":0.0018124267,"about_ca_topic_score_gemma":0.00066182204,"teacher_disagreement_score":0.0037086993,"about_ca_system_score_codex":0.0009193229,"about_ca_system_score_gemma":0.0003077604,"threshold_uncertainty_score":0.012406826},"labels":[],"label_agreement":null},{"id":"W2914313791","doi":"10.1007/s00200-019-00382-2","title":"Fixed points of rational functions satisfying the Carlitz property","year":2019,"lang":"en","type":"article","venue":"Applicable Algebra in Engineering Communication and Computing","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Property (philosophy); Rational function; Pure mathematics; Algebra over a field; Philosophy","score_opus":0.0156801884358921,"score_gpt":0.24667596243740714,"score_spread":0.23099577400151503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2914313791","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7827202,0.0011010614,0.13319711,0.0010191362,0.00021779517,0.00005296482,0.00031812734,0.00024948295,0.08112418],"genre_scores_gemma":[0.9864245,0.0003685044,0.0038023158,0.000056533165,0.00009702305,0.000034256936,0.00016129685,0.000056398163,0.0089992955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962735,0.00007267575,0.000015507434,0.00006256986,0.000101551224,0.00012040155],"domain_scores_gemma":[0.99928814,0.0002808298,0.00012535183,0.00006373535,0.00014507641,0.000096930824],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005790783,0.0009187471,0.0008208902,0.0025348028,0.0012803308,0.0033491962,0.0007990173,0.0011332403,0.004330667],"category_scores_gemma":[0.00244687,0.00044036022,0.00074615487,0.001358154,0.0023384008,0.0026406783,0.0016117372,0.0019199955,0.00082970026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000645435,0.000018944636,0.0002670248,0.000023644983,0.000016038488,0.00014179578,0.00017465181,0.0015183248,0.0024559335,0.99165934,0.0004510715,0.0032087425],"study_design_scores_gemma":[0.00004696836,0.000037450474,0.00051827135,0.000018024079,0.0000146876655,0.00016747731,0.00022428109,0.013955638,0.0025050747,0.9805792,0.0019046228,0.00002827231],"about_ca_topic_score_codex":0.0011595318,"about_ca_topic_score_gemma":0.000694462,"teacher_disagreement_score":0.004330667,"about_ca_system_score_codex":0.0015958385,"about_ca_system_score_gemma":0.00068374246,"threshold_uncertainty_score":0.014487505},"labels":[],"label_agreement":null},{"id":"W2922908325","doi":"10.4153/s0008439521000588","title":"Some results on the Flynn–Poonen–Schaefer conjecture","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Conjecture; Prime (order theory); Lonely runner conjecture; abc conjecture; Upper and lower bounds; Elliott–Halberstam conjecture; Quadratic equation","score_opus":0.040539208315628954,"score_gpt":0.267544568714377,"score_spread":0.22700536039874802,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2922908325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62013537,0.004044208,0.092566855,0.012721264,0.0004801849,0.00009572936,0.00085491827,0.00035016416,0.26875132],"genre_scores_gemma":[0.97413343,0.0011799778,0.009721912,0.0005831732,0.0005263373,0.00008210695,0.0005491519,0.000056888246,0.013167019],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985624,0.00018576399,0.0000623001,0.00041017978,0.00042616474,0.00035325278],"domain_scores_gemma":[0.99515367,0.0028332786,0.0004411932,0.00071886287,0.0004346776,0.00041832105],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021588667,0.0006112246,0.0008874138,0.0024100498,0.0032342873,0.002748125,0.0015461632,0.0017263778,0.01316822],"category_scores_gemma":[0.007983862,0.00043626866,0.000833434,0.0020547358,0.0050599356,0.005866751,0.002345431,0.003135368,0.0013420149],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028062012,0.000085548316,0.0033305322,0.000109999055,0.000019128573,0.00037764013,0.000695358,0.007664715,0.0019318504,0.9589314,0.009569229,0.017003987],"study_design_scores_gemma":[0.000055622124,0.0000490412,0.0021824169,0.00005855329,0.000018977156,0.00031438656,0.00025649037,0.022565302,0.0023990038,0.95689124,0.015167508,0.000041464515],"about_ca_topic_score_codex":0.0035389843,"about_ca_topic_score_gemma":0.002468206,"teacher_disagreement_score":0.01316822,"about_ca_system_score_codex":0.0026826998,"about_ca_system_score_gemma":0.0008422711,"threshold_uncertainty_score":0.044052064},"labels":[],"label_agreement":null},{"id":"W2923742475","doi":"10.1142/s0217732319500627","title":"Isochronous cosmological solutions of the Friedmann–Robertson–Walker model","year":2019,"lang":"en","type":"article","venue":"Modern Physics Letters A","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Graduate Education; Guilin University of Electronic Technology; China Scholarship Council; University of British Columbia; Natural Science Foundation of Guangxi Province; National Natural Science Foundation of China; National Science Foundation","keywords":"Physics; Planar; Dynamical systems theory; Mathematical physics; Conformal map; Cosmology; Friedmann equations; Ordinary differential equation; Differential equation; Variable (mathematics); Cosmological constant; Dynamical system (definition); Monotonic function; Friedmann–Lemaître–Robertson–Walker metric; Cosmological model; Constant (computer programming); Mathematical analysis; Quantum mechanics; Dark energy; Mathematics","score_opus":0.04170565854859052,"score_gpt":0.2644686816049778,"score_spread":0.22276302305638726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2923742475","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86017454,0.0015712592,0.11402194,0.0006224238,0.0001564012,0.000028110408,0.000093080766,0.0000875056,0.023244774],"genre_scores_gemma":[0.984591,0.0004750786,0.009898518,0.00005317353,0.00006790506,0.000026795198,0.000092279115,0.000016637612,0.00477846],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99992454,0.000019695837,0.0000037776967,0.0000145283275,0.000020947402,0.000016432805],"domain_scores_gemma":[0.9999094,0.000010738713,0.000034990124,0.0000086341415,0.000019218203,0.000016926284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017045197,0.0002690099,0.00025130226,0.000404886,0.00042171116,0.000490732,0.0004899302,0.00062465627,0.0013133849],"category_scores_gemma":[0.0006551148,0.00016672748,0.00039227994,0.00022206505,0.00057279033,0.0007264571,0.00037367234,0.00041357483,0.0001316648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006853393,0.000035142788,0.0030471424,0.00008119396,0.000045411925,0.0007443561,0.0003111049,0.061571207,0.013895181,0.91182166,0.0014596541,0.0069193924],"study_design_scores_gemma":[0.000114337454,0.00009404291,0.0047584716,0.000027994147,0.00003511902,0.00097176275,0.00029990732,0.5828115,0.003287945,0.40119228,0.006337318,0.00006939456],"about_ca_topic_score_codex":0.0019605276,"about_ca_topic_score_gemma":0.0010910985,"teacher_disagreement_score":0.0019605276,"about_ca_system_score_codex":0.00040510276,"about_ca_system_score_gemma":0.00042566864,"threshold_uncertainty_score":0.004393697},"labels":[],"label_agreement":null},{"id":"W2942054735","doi":"","title":"Geometric and algebraic classification of quadratic differential systems with invariant hyperbolas","year":2017,"lang":"en","type":"article","venue":"Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"FP7 People: Marie-Curie Actions; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Natural Sciences and Engineering Research Council of Canada; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Hyperbola; Mathematics; Invariant (physics); Quadratic equation; Algebraic number; Differential algebraic geometry; Pure mathematics; Mathematical analysis; Differential equation; Differential algebraic equation; Geometry; Ordinary differential equation; Mathematical physics","score_opus":0.01687524184309897,"score_gpt":0.27089188134555914,"score_spread":0.2540166395024602,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2942054735","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8785729,0.000525091,0.07456978,0.00044550849,0.00007001399,0.000107359665,0.00044846174,0.00019278737,0.045068074],"genre_scores_gemma":[0.98775476,0.00016960429,0.0077608824,0.000033307177,0.00007697087,0.000031931893,0.0004545049,0.00001739156,0.003700623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995189,0.000047613594,0.000032863827,0.00007594994,0.00021078,0.00011385094],"domain_scores_gemma":[0.9992392,0.0001097644,0.00028238492,0.00007014318,0.00018198614,0.00011648089],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027233397,0.0003579956,0.00037732825,0.002077913,0.0006894479,0.00137769,0.0005236761,0.00032180359,0.005377988],"category_scores_gemma":[0.001296368,0.0001968482,0.00039825504,0.0008369819,0.0020580003,0.0011761553,0.0011622399,0.00056772435,0.00039554067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000104090286,0.000041694264,0.0060471497,0.00014028535,0.000025741729,0.00028814952,0.000505067,0.031491265,0.008029582,0.9230213,0.0014535231,0.028852126],"study_design_scores_gemma":[0.00011160862,0.00018608684,0.012586163,0.000048741367,0.000023896519,0.0008377068,0.0006867623,0.2150685,0.005280293,0.75146186,0.013619399,0.00008905754],"about_ca_topic_score_codex":0.0020809537,"about_ca_topic_score_gemma":0.00082699844,"teacher_disagreement_score":0.005377988,"about_ca_system_score_codex":0.0010873253,"about_ca_system_score_gemma":0.00047103362,"threshold_uncertainty_score":0.017991126},"labels":[],"label_agreement":null},{"id":"W2943284607","doi":"10.1088/2053-2571/ab0281ch4","title":"Introduction to bifurcations","year":2019,"lang":"en","type":"book-chapter","venue":"Nonlinear Dynamics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Computer science","score_opus":0.025217974105323927,"score_gpt":0.2925882202291586,"score_spread":0.26737024612383464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943284607","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00048778794,0.02775912,0.033758037,0.0015126474,0.0038425776,0.000041927717,0.00027618933,0.00047886043,0.9318428],"genre_scores_gemma":[0.007231142,0.019306961,0.008703481,0.0007721287,0.0019764996,0.000069059286,0.00033121594,0.00035335732,0.9612562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9998087,0.000026294525,0.000007808033,0.00004061091,0.00009905777,0.000017461973],"domain_scores_gemma":[0.9998472,0.000058133868,0.000006592769,0.00002499558,0.00004767145,0.000015426302],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022803438,0.0011591845,0.0007223464,0.002164606,0.00079643045,0.0019227581,0.0008813223,0.0009840145,0.107399434],"category_scores_gemma":[0.00062666915,0.00044253495,0.0005410487,0.0015953302,0.001033299,0.002571905,0.0013315,0.0020034714,0.056812927],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011687634,0.000038515216,0.0000629354,0.00036864178,0.0000095710175,0.00007509065,0.0002112275,0.001304519,0.0010300078,0.36922535,0.3419493,0.28571317],"study_design_scores_gemma":[0.0000019053546,0.0000071988434,0.00008969095,0.0001358067,0.0000032832343,0.000092382325,0.00002539223,0.00047781278,0.00022195271,0.11234118,0.88659734,0.0000061020555],"about_ca_topic_score_codex":0.00072989904,"about_ca_topic_score_gemma":0.0016367183,"teacher_disagreement_score":0.107399434,"about_ca_system_score_codex":0.0010296445,"about_ca_system_score_gemma":0.0006387027,"threshold_uncertainty_score":0.3592869},"labels":[],"label_agreement":null},{"id":"W2945465041","doi":"10.4153/s0008439519000250","title":"Triangularization of Matrices and Polynomial Maps","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Permutation (music); TRACE (psycholinguistics); Identity (music); Polynomial; Set (abstract data type); Permutable prime; Combinatorics; Discrete mathematics; Computer science; Mathematical analysis","score_opus":0.012588102707044751,"score_gpt":0.24317744304823288,"score_spread":0.23058934034118814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2945465041","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.452887,0.00022007785,0.46255353,0.00046160948,0.00017555855,0.0001472485,0.0002940239,0.00065821176,0.08260276],"genre_scores_gemma":[0.9752906,0.00008368188,0.017897714,0.00011759918,0.00007646955,0.000054463744,0.00023883261,0.00007178267,0.0061688093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99794227,0.0003155292,0.00011894901,0.00048527095,0.0006750949,0.0004627976],"domain_scores_gemma":[0.99607974,0.0009964183,0.0006335897,0.0007133757,0.0011584279,0.00041843235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096493046,0.00042372418,0.0005081994,0.0008469288,0.0008429089,0.0016668513,0.0007328382,0.0005665184,0.009260004],"category_scores_gemma":[0.004517017,0.00023694387,0.0004310686,0.0006517293,0.002203461,0.0018589452,0.001681349,0.0012240835,0.00095807406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032354897,0.00010795179,0.001351281,0.0000855867,0.000025585177,0.00063728925,0.00056287664,0.013145309,0.043606136,0.9137764,0.0020104381,0.024367653],"study_design_scores_gemma":[0.000060746534,0.00035781937,0.0010783488,0.00003109211,0.000021817777,0.00072415074,0.0007180221,0.12678006,0.03732992,0.82515216,0.007688175,0.00005759819],"about_ca_topic_score_codex":0.0009459651,"about_ca_topic_score_gemma":0.0007951061,"teacher_disagreement_score":0.009260004,"about_ca_system_score_codex":0.00046229167,"about_ca_system_score_gemma":0.0006210171,"threshold_uncertainty_score":0.030977786},"labels":[],"label_agreement":null},{"id":"W2949667560","doi":"10.48550/arxiv.1202.0471","title":"On the equation $f(g(x)) =f(x)h^m(x)$ for composite polynomials","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Integer (computer science); Combinatorics; Mathematics; Polynomial; Conjecture; Chebyshev polynomials; Zero (linguistics); Separable space; Field (mathematics); Context (archaeology); Diophantine equation; Function field; Mathematical analysis; Pure mathematics","score_opus":0.22707266019078917,"score_gpt":0.25194689035402007,"score_spread":0.024874230163230898,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949667560","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18379216,0.0033894777,0.6953551,0.0073006307,0.00092934683,0.00012668906,0.00026896608,0.00012478369,0.10871273],"genre_scores_gemma":[0.71472716,0.004553418,0.21017273,0.0018543692,0.00088103284,0.00018151522,0.00039164652,0.00022826223,0.06700996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971455,0.00008507217,0.000008625562,0.000063322965,0.000062409876,0.00006599811],"domain_scores_gemma":[0.99954,0.00029482853,0.000054234064,0.00003509886,0.00004575528,0.000030204867],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010329644,0.0007353205,0.00053966965,0.0006863601,0.0012910315,0.000927814,0.00065783574,0.0013299482,0.0047702645],"category_scores_gemma":[0.0025958242,0.00021695449,0.00075327815,0.0006706278,0.0027963559,0.0025132727,0.0015784822,0.0024398654,0.000867692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033471446,0.000018355311,0.0004099985,0.000105442334,0.000009864106,0.00013719825,0.00030975242,0.012028206,0.0010663454,0.9738097,0.0022855485,0.009786204],"study_design_scores_gemma":[0.000039754683,0.000045900273,0.0004218351,0.000057362704,0.000017096807,0.00022590303,0.00026785512,0.087427974,0.0014289258,0.8965952,0.013438893,0.00003329976],"about_ca_topic_score_codex":0.0020153967,"about_ca_topic_score_gemma":0.0025079788,"teacher_disagreement_score":0.0047702645,"about_ca_system_score_codex":0.0008947627,"about_ca_system_score_gemma":0.00086094125,"threshold_uncertainty_score":0.01595819},"labels":[],"label_agreement":null},{"id":"W2950025230","doi":"10.48550/arxiv.0805.1140","title":"A Chebyshev criterion for Abelian integrals","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Chebyshev filter; Abelian group; Mathematics; Chebyshev equation; Pure mathematics; Applied mathematics; Mathematical analysis; Orthogonal polynomials","score_opus":0.18316878026653374,"score_gpt":0.3845843594678451,"score_spread":0.20141557920131134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950025230","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21750647,0.0013941152,0.68903434,0.001173755,0.00025531507,0.00012290757,0.000463824,0.00030240839,0.08974685],"genre_scores_gemma":[0.8672965,0.00093979656,0.11070424,0.0006383639,0.0009943616,0.0002559747,0.00070192106,0.0003573274,0.018111551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981737,0.00038922034,0.00013213124,0.00026336568,0.00076619413,0.00027537567],"domain_scores_gemma":[0.9951082,0.00198196,0.00046470147,0.0004931874,0.001452754,0.0004993185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025528676,0.00071412395,0.00088690623,0.0037737295,0.002070069,0.0023951433,0.0010953451,0.001097286,0.0048882808],"category_scores_gemma":[0.009051594,0.00030785546,0.000767273,0.0015659857,0.0027768724,0.0037993505,0.0026795722,0.0022882083,0.0010695868],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027407168,0.000019953804,0.000581101,0.00003741988,0.0000145057,0.00011551422,0.00010339017,0.002062896,0.003096892,0.9872093,0.0010855112,0.00564586],"study_design_scores_gemma":[0.000014098964,0.00003980979,0.0008116664,0.000033567227,0.000015364269,0.00035540602,0.00006637184,0.03975988,0.002931538,0.9499226,0.006019911,0.000029588726],"about_ca_topic_score_codex":0.0008534185,"about_ca_topic_score_gemma":0.0005493009,"teacher_disagreement_score":0.0048882808,"about_ca_system_score_codex":0.0010728351,"about_ca_system_score_gemma":0.0009603227,"threshold_uncertainty_score":0.016352892},"labels":[],"label_agreement":null},{"id":"W2950084222","doi":"10.48550/arxiv.0802.0727","title":"Schlicht envelopes of holomorphy and foliations by lines","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Business; Geology; Economic geography; Economics","score_opus":0.08958871264911218,"score_gpt":0.3278144813809425,"score_spread":0.23822576873183032,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950084222","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89691776,0.0006421205,0.083484754,0.0004166204,0.000022405582,0.000025118967,0.00016439953,0.00007970643,0.018247133],"genre_scores_gemma":[0.9858538,0.0003002404,0.010881338,0.00004238559,0.000036228637,0.000022873512,0.00020086457,0.000017966848,0.0026443354],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973136,0.000049871873,0.000018280558,0.000073840936,0.000071516486,0.00005512112],"domain_scores_gemma":[0.99922717,0.00029298585,0.00019717976,0.00010341817,0.000074227144,0.000105048864],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040410148,0.0002287229,0.00035145268,0.001153875,0.0006884978,0.001214395,0.00033530538,0.0005987969,0.0023215374],"category_scores_gemma":[0.0017578113,0.00022280583,0.00042548127,0.00047304804,0.0024007156,0.0028737835,0.001620016,0.00096520357,0.00018476995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057320794,0.000018787445,0.003789667,0.000074386684,0.000013919008,0.0004353043,0.0007410894,0.0066451705,0.0069198776,0.9694742,0.00051805156,0.011312211],"study_design_scores_gemma":[0.000033827793,0.00008032335,0.007766619,0.00006996673,0.000015639687,0.00087881926,0.0012712473,0.045701474,0.004850842,0.9292205,0.010076723,0.00003394889],"about_ca_topic_score_codex":0.0005755794,"about_ca_topic_score_gemma":0.0005307164,"teacher_disagreement_score":0.0023215374,"about_ca_system_score_codex":0.0005934439,"about_ca_system_score_gemma":0.0001543778,"threshold_uncertainty_score":0.0077663064},"labels":[],"label_agreement":null},{"id":"W2950460742","doi":"10.48550/arxiv.1906.08659","title":"Internality of logarithmic-differential pullbacks","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Algebraically closed field; Affine transformation; Logarithm; Pullback; Pure mathematics; Mathematics; Logarithmic derivative; Constant (computer programming); Field (mathematics); Differential (mechanical device); Derivative (finance); Extension (predicate logic); Base (topology); Function (biology); Mathematical analysis; Physics; Computer science; Thermodynamics","score_opus":0.1267604486128942,"score_gpt":0.24140346605271987,"score_spread":0.11464301743982566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950460742","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.848468,0.0003478071,0.081028104,0.00124901,0.00011522502,0.000074710966,0.00025997034,0.000291686,0.068165384],"genre_scores_gemma":[0.9863631,0.00013889559,0.00495077,0.00011974233,0.000072767645,0.000046647747,0.00015893264,0.000059934664,0.008089171],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985857,0.00017073663,0.000094583134,0.00043396023,0.000405897,0.00030900165],"domain_scores_gemma":[0.9976579,0.00049833814,0.00032971893,0.000383352,0.00047225915,0.00065845286],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014447551,0.0007211905,0.0008037603,0.002571312,0.0020340986,0.0055340496,0.00096870295,0.0012673017,0.0049637994],"category_scores_gemma":[0.004460217,0.0004767501,0.0011840904,0.00078094436,0.0048939693,0.007387983,0.0055675907,0.002592614,0.00049880944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002847599,0.000029156256,0.0013242799,0.000021866117,0.000010807699,0.00022126855,0.000669228,0.00044401138,0.0019893623,0.99258,0.00017834976,0.002503224],"study_design_scores_gemma":[0.000035309502,0.00008197556,0.0016940645,0.00003947487,0.000027158821,0.00058331067,0.0009187002,0.00479272,0.004460068,0.98266983,0.0046638274,0.000033595952],"about_ca_topic_score_codex":0.0003770636,"about_ca_topic_score_gemma":0.00025399096,"teacher_disagreement_score":0.0055340496,"about_ca_system_score_codex":0.0023693906,"about_ca_system_score_gemma":0.0006520032,"threshold_uncertainty_score":0.017191172},"labels":[],"label_agreement":null},{"id":"W2951209147","doi":"10.48550/arxiv.1411.4087","title":"Irreducible Modules for the Lie Algebra of Divergence Zero Vector Fields on a Torus","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Irreducibility; Mathematics; Vector field; Lie algebra; Divergence (linguistics); Zero (linguistics); Subalgebra; Torus; Pure mathematics; Lie conformal algebra; Universal enveloping algebra; Lie bracket of vector fields; Algebra over a field; Adjoint representation of a Lie algebra; Geometry","score_opus":0.12260328265478475,"score_gpt":0.2422353424579355,"score_spread":0.11963205980315074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951209147","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75352675,0.00088984554,0.17203873,0.0009203869,0.00022102983,0.00013569753,0.0002632858,0.00030105727,0.07170313],"genre_scores_gemma":[0.97142303,0.00051998923,0.01790039,0.00013287959,0.00019184031,0.00005815215,0.0002513849,0.000064252454,0.009458105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927944,0.00013395089,0.000049966224,0.00010954033,0.0002824184,0.00014469145],"domain_scores_gemma":[0.99903786,0.000214476,0.00020942155,0.00011859454,0.00016743038,0.00025227765],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085459225,0.0006435479,0.00041484035,0.0016821281,0.0011673416,0.0015808294,0.00060017704,0.0004465688,0.0040742955],"category_scores_gemma":[0.0019317276,0.00022760993,0.00092582713,0.0005696657,0.0027243996,0.0036459765,0.0017074724,0.0014483016,0.0004665551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010369795,0.000022044622,0.0002803298,0.00002666331,0.0000047450576,0.00014319592,0.00048710068,0.00063496415,0.0017442857,0.9929438,0.00022834903,0.0034741354],"study_design_scores_gemma":[0.000011258074,0.00006667011,0.0006536218,0.000017469969,0.000009694502,0.00033708484,0.00027152666,0.0043726773,0.0019566969,0.98789495,0.004388404,0.0000200298],"about_ca_topic_score_codex":0.00057088706,"about_ca_topic_score_gemma":0.0004011675,"teacher_disagreement_score":0.0040742955,"about_ca_system_score_codex":0.00076633,"about_ca_system_score_gemma":0.000738487,"threshold_uncertainty_score":0.013629913},"labels":[],"label_agreement":null},{"id":"W2951545641","doi":"10.48550/arxiv.math/0505392","title":"Toroidal normal forms for bifurcations in retarded functional differential equations I: Multiple Hopf and transcritical/multiple Hopf interaction","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Hopf bifurcation; Mathematics; Pitchfork bifurcation; Nonlinear system; Differential equation; Realizability; Mathematical analysis; Applied mathematics; Bifurcation; Physics","score_opus":0.10946752666227626,"score_gpt":0.3318996560977322,"score_spread":0.22243212943545593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951545641","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42865586,0.001963775,0.51070774,0.0022375796,0.0002417969,0.00013870787,0.00022530704,0.0002682803,0.05556094],"genre_scores_gemma":[0.9537024,0.0010968178,0.03180796,0.0001144148,0.00015119067,0.0001045116,0.0001338571,0.000066341454,0.01282245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998123,0.000060713017,0.000011638793,0.000029142455,0.000059535145,0.000026607286],"domain_scores_gemma":[0.9994382,0.00015987341,0.00013312789,0.000048921935,0.00011527094,0.00010453295],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072479504,0.0007591756,0.0003955997,0.0013975379,0.0008880964,0.0015707121,0.0004521337,0.0007200018,0.0035198627],"category_scores_gemma":[0.0025247794,0.00025937628,0.0007362187,0.0005756302,0.0019677812,0.0018046106,0.0011077183,0.0011825586,0.00043023276],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001499183,0.000011493944,0.0002880161,0.000027576009,0.0000045344364,0.0000819932,0.00018608013,0.010326404,0.0021565838,0.98268926,0.0005690051,0.0036440557],"study_design_scores_gemma":[0.000008413608,0.00001513218,0.00022982649,0.000012365281,0.000003571833,0.000075671735,0.00008753964,0.15625496,0.000523371,0.84129405,0.0014802564,0.00001483381],"about_ca_topic_score_codex":0.002709919,"about_ca_topic_score_gemma":0.0013510224,"teacher_disagreement_score":0.0035198627,"about_ca_system_score_codex":0.0016565953,"about_ca_system_score_gemma":0.00071351277,"threshold_uncertainty_score":0.012019455},"labels":[],"label_agreement":null},{"id":"W2951880351","doi":"10.48550/arxiv.1309.3539","title":"On the model companion of partial differential fields with an automorphism","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Automorphism; Mathematics; Class (philosophy); Differential (mechanical device); Pure mathematics; Zero (linguistics); Differential algebra; Computer science; Physics; Artificial intelligence","score_opus":0.12632111745555683,"score_gpt":0.2241888777812338,"score_spread":0.09786776032567698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951880351","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8301682,0.00052940473,0.0795107,0.001895047,0.0001751758,0.000068770336,0.00024270355,0.00018213473,0.0872278],"genre_scores_gemma":[0.9916699,0.00018079163,0.0028670446,0.00010278449,0.00013761183,0.000023082344,0.000104592866,0.000019882897,0.0048943306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935883,0.00010086308,0.000031536794,0.00016152082,0.0002078136,0.00013940799],"domain_scores_gemma":[0.9986821,0.0004863162,0.00025136446,0.00018137612,0.00013915212,0.00025974165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008208143,0.0004529911,0.0008504153,0.0017766993,0.0018178204,0.0024250976,0.00052486366,0.0010852773,0.00423035],"category_scores_gemma":[0.0027829225,0.00031238017,0.0007755525,0.00094301754,0.0033420697,0.0050576204,0.002683038,0.0017158376,0.00043311776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014820978,0.000014816766,0.0004899871,0.00001520095,0.0000032729088,0.00008617807,0.00022219907,0.00045806757,0.00045031522,0.9967855,0.00024769027,0.001211963],"study_design_scores_gemma":[0.000017072201,0.000038997834,0.00062846136,0.000013905756,0.00000779703,0.0002812955,0.00014463966,0.006697227,0.0004884725,0.9891557,0.0025178508,0.0000084792455],"about_ca_topic_score_codex":0.0007278024,"about_ca_topic_score_gemma":0.00033566952,"teacher_disagreement_score":0.00423035,"about_ca_system_score_codex":0.0014218037,"about_ca_system_score_gemma":0.0006488232,"threshold_uncertainty_score":0.014151931},"labels":[],"label_agreement":null},{"id":"W2951906953","doi":"10.48550/arxiv.0808.3263","title":"Proof of a dynamical Bogomolov conjecture for lines under polynomial actions","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Conjecture; Polynomial; Mathematics; Affine transformation; Space (punctuation); Pure mathematics; Action (physics); Degree (music); Line (geometry); Dynamical systems theory; Combinatorics; Mathematical analysis; Physics; Computer science; Geometry; Quantum mechanics","score_opus":0.12770509993652487,"score_gpt":0.36482484166386797,"score_spread":0.2371197417273431,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951906953","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5311984,0.001382071,0.3185422,0.010106278,0.0012528362,0.00011202459,0.0007151136,0.00077474787,0.13591643],"genre_scores_gemma":[0.97837865,0.00049823814,0.012254232,0.00057840196,0.0004687451,0.000064828775,0.00026396525,0.00007050532,0.0074224942],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962175,0.00007545597,0.000020822847,0.00008147897,0.00011684909,0.000083575695],"domain_scores_gemma":[0.9990163,0.00034425635,0.00018189402,0.00014662,0.00014572545,0.00016522908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007377157,0.00048303112,0.00061260426,0.0008548281,0.0012043988,0.0012669589,0.00081017276,0.0010946555,0.008404807],"category_scores_gemma":[0.002674855,0.00030094097,0.00081606436,0.00048630452,0.0024824834,0.0028261193,0.0029644296,0.0021097981,0.00065029477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022696448,0.0000210042,0.00042836575,0.000046627418,0.000008533488,0.00021988305,0.00020631807,0.0019971572,0.0015272242,0.99159944,0.0015304618,0.0023923775],"study_design_scores_gemma":[0.000048730573,0.000036322235,0.00065290084,0.000022557464,0.000010277264,0.00023883565,0.000109439046,0.017093748,0.0009667275,0.97604,0.0047615496,0.000018881145],"about_ca_topic_score_codex":0.0010117317,"about_ca_topic_score_gemma":0.00061648514,"teacher_disagreement_score":0.008404807,"about_ca_system_score_codex":0.0008458924,"about_ca_system_score_gemma":0.00040326372,"threshold_uncertainty_score":0.028116941},"labels":[],"label_agreement":null},{"id":"W2962385605","doi":"10.4153/s0008439520000557","title":"On intersections of polynomial semigroups orbits with plane lines","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Semigroup; Mathematics; Plane (geometry); Polynomial; Affine plane (incidence geometry); Affine transformation; Field (mathematics); Pure mathematics; Combinatorics; Geometry; Mathematical analysis","score_opus":0.027738932898008068,"score_gpt":0.2483580402795908,"score_spread":0.22061910738158272,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962385605","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8675792,0.00036039663,0.10317787,0.00050064543,0.000066059365,0.00006849175,0.0002181988,0.0002187065,0.02781034],"genre_scores_gemma":[0.98421866,0.00017016899,0.009479685,0.00002724883,0.00007015322,0.000049381648,0.0001586962,0.000059388327,0.0057665925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989808,0.00023977032,0.000054972264,0.00016137428,0.00033877234,0.00022421742],"domain_scores_gemma":[0.9965456,0.0013631186,0.00086569105,0.00019610225,0.00046586164,0.00056369696],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082457485,0.00036669004,0.0005821513,0.0017374951,0.0018070824,0.002890866,0.0007561078,0.000977701,0.008013006],"category_scores_gemma":[0.004408709,0.00044700468,0.0007815664,0.0009851238,0.0022794139,0.0041781073,0.0021956908,0.0014602754,0.0006375402],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017565576,0.000048825732,0.0024785765,0.000040599232,0.000016721873,0.0006963751,0.0012606129,0.009372587,0.0028658859,0.9783377,0.0005514851,0.0041549834],"study_design_scores_gemma":[0.00009480588,0.00026428813,0.0032469067,0.00007277467,0.000029497041,0.00087849045,0.0021793596,0.12879252,0.0049819765,0.8507168,0.008682827,0.000059799764],"about_ca_topic_score_codex":0.0020410274,"about_ca_topic_score_gemma":0.0009077508,"teacher_disagreement_score":0.008013006,"about_ca_system_score_codex":0.001714791,"about_ca_system_score_gemma":0.00048962724,"threshold_uncertainty_score":0.026806176},"labels":[],"label_agreement":null},{"id":"W2962849847","doi":"10.1016/j.jde.2015.07.009","title":"Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation","year":2015,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"European Research Council","keywords":"Mathematics; Zero (linguistics); Upper and lower bounds; Mathematical analysis; Sequence (biology); Moment (physics); Polynomial; Algebraic number; Differential equation; Type (biology); Ordinary differential equation; Pure mathematics; Combinatorics; Quantum mechanics","score_opus":0.09111497601709483,"score_gpt":0.3268644563671206,"score_spread":0.23574948035002574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962849847","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30928183,0.010678914,0.5177362,0.010730599,0.0010864651,0.00026010835,0.001461108,0.0012974071,0.1474673],"genre_scores_gemma":[0.9347705,0.006174385,0.038477052,0.001534096,0.002043941,0.00045044758,0.0011869661,0.0007309461,0.0146316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996088,0.001155313,0.00019045538,0.00071493484,0.0008930185,0.000958196],"domain_scores_gemma":[0.9217377,0.05712489,0.0045563397,0.004137997,0.006427865,0.0060152686],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008388481,0.0026178192,0.00279092,0.008203832,0.0032326197,0.0058520995,0.0045785015,0.0028373676,0.013738095],"category_scores_gemma":[0.064172365,0.0013741087,0.0021070964,0.003290947,0.01238848,0.009509577,0.009411363,0.009484118,0.0015691514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028745312,0.000076975135,0.0012653578,0.00025943876,0.000050548486,0.00016799419,0.00040735418,0.006972948,0.0033806618,0.9779766,0.0025806073,0.006574097],"study_design_scores_gemma":[0.000046045625,0.00009488338,0.00094248075,0.00020575867,0.00007952344,0.00018287783,0.00014396594,0.089618064,0.0034860002,0.90212315,0.0029645825,0.000112716356],"about_ca_topic_score_codex":0.002488694,"about_ca_topic_score_gemma":0.0016475172,"teacher_disagreement_score":0.013738095,"about_ca_system_score_codex":0.003747163,"about_ca_system_score_gemma":0.0029614724,"threshold_uncertainty_score":0.04595852},"labels":[],"label_agreement":null},{"id":"W2962851288","doi":"10.4153/cmb-2010-092-6","title":"Characteristic Varieties for a Class of Line Arrangements","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Multiplicity (mathematics); Diagonal; Pure mathematics; Variety (cybernetics); Class (philosophy); Line (geometry); Parallelogram; Combinatorics; Geometry; Physics; Artificial intelligence","score_opus":0.030816523681958415,"score_gpt":0.2909174575277764,"score_spread":0.260100933845818,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962851288","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93192697,0.00029642115,0.01894459,0.00045673127,0.00006228637,0.000045175275,0.00016688438,0.00023386891,0.04786706],"genre_scores_gemma":[0.9929067,0.00011168073,0.0022819717,0.000029639361,0.000038208284,0.000025252908,0.0000961758,0.000014359967,0.0044959635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957746,0.00004719166,0.000017058956,0.00009992494,0.00012743898,0.00013098834],"domain_scores_gemma":[0.9994267,0.00012617126,0.0001649065,0.000053681266,0.00007334113,0.00015519063],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002449555,0.00027646217,0.00035278584,0.001922287,0.0015664055,0.003959503,0.000555079,0.00056123233,0.006342307],"category_scores_gemma":[0.0012440989,0.00037188624,0.0004317187,0.0011215375,0.002425257,0.0021416284,0.0014952908,0.0011479651,0.00049407245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008104518,0.000023951701,0.0030959512,0.00003147737,0.000011599397,0.0006591796,0.00093351584,0.0016775473,0.0028547554,0.98370427,0.00082763896,0.006099136],"study_design_scores_gemma":[0.00025420447,0.00019300755,0.0140651,0.00007434706,0.00004231407,0.0037275823,0.0021975283,0.015144808,0.00447947,0.92823035,0.031488527,0.00010275649],"about_ca_topic_score_codex":0.0011571115,"about_ca_topic_score_gemma":0.00068328384,"teacher_disagreement_score":0.006342307,"about_ca_system_score_codex":0.0014485884,"about_ca_system_score_gemma":0.0004250973,"threshold_uncertainty_score":0.021217167},"labels":[],"label_agreement":null},{"id":"W2963013150","doi":"10.4064/fm218-2-2","title":"Embedding theorems for spaces of R-places of rational function fields and their products","year":2012,"lang":"en","type":"article","venue":"Fundamenta Mathematicae","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Embedding; Rational function; Function (biology); Field (mathematics); Pure mathematics; Function space; Variable (mathematics); Discrete mathematics; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.05560445176195631,"score_gpt":0.3283940480175338,"score_spread":0.27278959625557747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963013150","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6078368,0.0025541496,0.3381554,0.0017284761,0.00034607886,0.00010196993,0.000429368,0.00045136502,0.048396446],"genre_scores_gemma":[0.93770653,0.0012213498,0.045107495,0.00019994045,0.00027174244,0.00016519213,0.00031128994,0.00014356386,0.014872887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99918073,0.00019063738,0.000050337294,0.00020861962,0.000209185,0.00016047047],"domain_scores_gemma":[0.9985208,0.00056144263,0.00027880608,0.00014037473,0.0001936327,0.0003050203],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014750642,0.0011730354,0.0006655044,0.0018067154,0.00092796126,0.0025425872,0.0010235372,0.0008286653,0.0050415546],"category_scores_gemma":[0.002830506,0.00043659526,0.0013453817,0.0007894935,0.0029096345,0.0072960644,0.0033342454,0.0023113538,0.000743728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048762184,0.000028855886,0.00032724725,0.00006977011,0.000013243595,0.00017132661,0.0005640554,0.00093859044,0.0015943716,0.9913072,0.00025300373,0.004683603],"study_design_scores_gemma":[0.0000518064,0.00017556359,0.0006813491,0.000047940564,0.000029451729,0.0005482537,0.00059416925,0.008413643,0.0030606035,0.98039687,0.005958447,0.00004197031],"about_ca_topic_score_codex":0.00042743378,"about_ca_topic_score_gemma":0.00028072143,"teacher_disagreement_score":0.0050415546,"about_ca_system_score_codex":0.0010354937,"about_ca_system_score_gemma":0.00033139202,"threshold_uncertainty_score":0.01686573},"labels":[],"label_agreement":null},{"id":"W2963091004","doi":"10.1090/ecgd/325","title":"Generic 2-parameter perturbations of parabolic singular points of vector fields in ℂ","year":2018,"lang":"lv","type":"article","venue":"Conformal Geometry and Dynamics of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science","score_opus":0.016821982404689295,"score_gpt":0.27413225417519055,"score_spread":0.25731027177050125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963091004","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.766209,0.00054512336,0.098541625,0.0011619166,0.0004905787,0.00014263374,0.0005493189,0.0008131901,0.13154662],"genre_scores_gemma":[0.9573854,0.00029202516,0.009628484,0.00023036562,0.00018308919,0.000081389495,0.00035759795,0.00032849883,0.031513188],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992873,0.00010841223,0.000037743983,0.00014758734,0.0002416139,0.00017740486],"domain_scores_gemma":[0.9995602,0.000060718143,0.000080804755,0.000058904843,0.00011049938,0.00012898595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065276056,0.00093087956,0.00052146974,0.002381776,0.0015639463,0.0024716107,0.00086015696,0.001066606,0.010342004],"category_scores_gemma":[0.0015094251,0.00035746445,0.00073596166,0.0007730588,0.0021124843,0.003000669,0.0021594656,0.0014724488,0.0015960946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050744846,0.000027549504,0.00059577316,0.00003248655,0.000011750589,0.00031375224,0.00040552832,0.0014763798,0.002714427,0.9878324,0.0015296519,0.005009598],"study_design_scores_gemma":[0.000057281297,0.00010518316,0.002214529,0.000045337445,0.000016425287,0.0006774733,0.00075843214,0.016597703,0.004226987,0.96185744,0.013384781,0.00005849346],"about_ca_topic_score_codex":0.0013326576,"about_ca_topic_score_gemma":0.00073242973,"teacher_disagreement_score":0.010342004,"about_ca_system_score_codex":0.0022103903,"about_ca_system_score_gemma":0.00047028885,"threshold_uncertainty_score":0.034597456},"labels":[],"label_agreement":null},{"id":"W2963187714","doi":"10.1063/1.4975214","title":"Three-dimensional central configurations in ℍ3 and 𝕊3","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"National Natural Science Foundation of China; Victoria University; University of Victoria","keywords":"Great circle; Mathematics; Geometry; Physics; Mathematical analysis; Classical mechanics","score_opus":0.056382458039151366,"score_gpt":0.3338825645042227,"score_spread":0.27750010646507134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963187714","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83496976,0.0002735338,0.07431916,0.0003569437,0.00023825027,0.00003176692,0.0001477677,0.00022488777,0.08943792],"genre_scores_gemma":[0.9877466,0.00007414845,0.008039145,0.000055343917,0.00003009292,0.00001619059,0.00007316001,0.000031239924,0.0039339685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976724,0.000034006214,0.000011504806,0.00006678329,0.000051846753,0.000068624635],"domain_scores_gemma":[0.9995285,0.000058553716,0.00009346476,0.00007665039,0.000103675724,0.00013921177],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024944433,0.00037509945,0.00041436724,0.00057629414,0.0013191885,0.0013517181,0.00054164446,0.00042996215,0.0041420874],"category_scores_gemma":[0.00073595287,0.00020931252,0.00035500276,0.0003289353,0.0029103276,0.0010732444,0.0017794882,0.0008805521,0.0006470954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007631981,0.000014109697,0.00066327857,0.00003317704,0.000009038399,0.0004251548,0.00032403873,0.0026794034,0.0050105825,0.98576343,0.00092266436,0.0040788203],"study_design_scores_gemma":[0.000038726645,0.00008069502,0.002435165,0.000027612647,0.00001601223,0.0010916693,0.00061732717,0.024076717,0.010017535,0.95406437,0.007469467,0.000064744796],"about_ca_topic_score_codex":0.0009049019,"about_ca_topic_score_gemma":0.00070327206,"teacher_disagreement_score":0.0041420874,"about_ca_system_score_codex":0.00042547594,"about_ca_system_score_gemma":0.00031463677,"threshold_uncertainty_score":0.013856649},"labels":[],"label_agreement":null},{"id":"W2963427501","doi":"10.1142/s0218127412502549","title":"FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS","year":2012,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Integrable system; Quadratic equation; Limit (mathematics); Mathematics; Quadratic function; Polynomial; Limit cycle; Mathematical analysis; Pure mathematics; Geometry","score_opus":0.05319205703180415,"score_gpt":0.3225513298830165,"score_spread":0.26935927285121236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963427501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9187126,0.0005309623,0.059677027,0.000369641,0.000119749115,0.00006333819,0.0000586153,0.00021380249,0.02025425],"genre_scores_gemma":[0.9872388,0.00013043523,0.008775107,0.000052659656,0.000025854752,0.000034779427,0.00006612399,0.000036722908,0.0036394622],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997793,0.000038747625,0.000015757432,0.00003692694,0.00008011171,0.0000492816],"domain_scores_gemma":[0.99963343,0.000060287923,0.00007547837,0.000054173997,0.000066708155,0.00010990608],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024326995,0.00039262392,0.00053445494,0.0007135618,0.0014033827,0.001033244,0.00077300216,0.00092022103,0.0032661436],"category_scores_gemma":[0.0010444765,0.00025959127,0.00066499115,0.0003389376,0.0014211222,0.0012556082,0.0014923776,0.0008126078,0.00036582953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029407395,0.00012791793,0.004683647,0.00023750715,0.00008135194,0.0022065497,0.0012857048,0.048068605,0.05482008,0.85511637,0.0018383214,0.031239837],"study_design_scores_gemma":[0.00009798439,0.00035245664,0.0034922054,0.00004796538,0.00006843539,0.0020482438,0.0005802242,0.30049178,0.03443355,0.64691764,0.011325552,0.00014405273],"about_ca_topic_score_codex":0.0005360896,"about_ca_topic_score_gemma":0.0004055297,"teacher_disagreement_score":0.0032661436,"about_ca_system_score_codex":0.00086727494,"about_ca_system_score_gemma":0.0003404391,"threshold_uncertainty_score":0.010926366},"labels":[],"label_agreement":null},{"id":"W2963573022","doi":"10.1515/crelle-2014-0085","title":"Normal functions, Picard--Fuchs equations, and elliptic fibrations on<i>K</i>3 surfaces","year":2014,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Science Foundation","keywords":"Mathematics; Pure mathematics; Elliptic curve; Regulator; Algebraic number; Hypersurface; Indecomposable module; Algebra over a field; Mathematical analysis","score_opus":0.027618713672432158,"score_gpt":0.3088358262097639,"score_spread":0.2812171125373317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963573022","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89638937,0.0007237769,0.037503555,0.00122109,0.00016546172,0.000025961328,0.0000669652,0.00018921171,0.0637147],"genre_scores_gemma":[0.98785883,0.00028151888,0.0026041863,0.00007787197,0.00008184342,0.00001359203,0.000049901413,0.0000414167,0.008990726],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970156,0.000073085044,0.0000127402855,0.000055780853,0.00007865176,0.00007816266],"domain_scores_gemma":[0.99966764,0.00006498363,0.00006928708,0.000028309003,0.000067160334,0.00010267318],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046556222,0.00071357196,0.00052880414,0.0016292622,0.0012197061,0.0017611118,0.00047646594,0.00072372385,0.003459711],"category_scores_gemma":[0.0009992631,0.00027533658,0.0007607576,0.0005157376,0.0021739025,0.0021152503,0.0011357378,0.001313299,0.00048551735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036038327,0.000021914622,0.0007705771,0.000019887377,0.000008938557,0.00025597384,0.0002877088,0.0025914419,0.0025926596,0.9885278,0.00073309016,0.004154061],"study_design_scores_gemma":[0.000021192924,0.0000423141,0.0018227486,0.000017883714,0.000010496121,0.0004601114,0.0002717176,0.024633832,0.0023878086,0.9666353,0.0036634824,0.000033127337],"about_ca_topic_score_codex":0.0017684503,"about_ca_topic_score_gemma":0.0010413363,"teacher_disagreement_score":0.003459711,"about_ca_system_score_codex":0.0014882938,"about_ca_system_score_gemma":0.00043932564,"threshold_uncertainty_score":0.011573911},"labels":[],"label_agreement":null},{"id":"W2963795428","doi":"10.1016/j.aim.2015.11.015","title":"Dynamical anomalous subvarieties: Structure and bounded height theorems","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Subvariety; Mathematics; Locus (genetics); Codimension; Bounded function; Combinatorics; Degree (music); Polynomial; Complete intersection; Dimension (graph theory); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.022940764808475327,"score_gpt":0.30803489819907,"score_spread":0.28509413339059464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963795428","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7159906,0.0011904462,0.22011565,0.0023576377,0.0002648123,0.000048690246,0.00030004588,0.00029337543,0.059438713],"genre_scores_gemma":[0.98301226,0.00049764133,0.007359216,0.00015753706,0.00021294485,0.000029750838,0.00019351902,0.000057479236,0.008479647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995116,0.00008329873,0.00002185749,0.000090689966,0.00016983836,0.00012283065],"domain_scores_gemma":[0.99829215,0.00069286505,0.00024018041,0.0001727172,0.00019613163,0.00040594023],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072732434,0.0007105915,0.00073406653,0.0022343306,0.0014749392,0.0026435002,0.00093688426,0.000759865,0.004433673],"category_scores_gemma":[0.0030513564,0.00038492732,0.00085137086,0.0011507312,0.0036172953,0.0047570914,0.0034867248,0.002943633,0.00034156602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013974246,0.0000093467415,0.00021454884,0.00001007424,0.000005012033,0.000044278877,0.00012427522,0.0006801767,0.0006008254,0.99656194,0.0002469583,0.0014885213],"study_design_scores_gemma":[0.00001549979,0.000014308616,0.00035844845,0.0000059676036,0.000008208085,0.000102080616,0.000097782024,0.009942128,0.0004965,0.9879004,0.001049564,0.000009232127],"about_ca_topic_score_codex":0.0010928166,"about_ca_topic_score_gemma":0.0006118868,"teacher_disagreement_score":0.004433673,"about_ca_system_score_codex":0.0011644363,"about_ca_system_score_gemma":0.00054702547,"threshold_uncertainty_score":0.014832079},"labels":[],"label_agreement":null},{"id":"W2963802415","doi":"10.1093/imrn/rnx199","title":"Zero Counting and Invariant Sets of Differential Equations","year":2017,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Toronto","keywords":"Mathematics; Hypersurface; Polynomial; Algebraic number; Invariant (physics); Differential equation; Zero (linguistics); Rational function; Planar; Degree (music); Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis; Mathematical physics","score_opus":0.22607726905948275,"score_gpt":0.47226150947328727,"score_spread":0.24618424041380452,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963802415","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88963336,0.000365366,0.08268739,0.00045552687,0.000056646488,0.000046291272,0.00033249758,0.00023218461,0.026190817],"genre_scores_gemma":[0.9893231,0.0001751834,0.0069444715,0.000040611758,0.000054708173,0.000040493844,0.00026534218,0.000040175037,0.003115933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889463,0.00014625763,0.00007067338,0.00023877237,0.00035967556,0.00028986146],"domain_scores_gemma":[0.99637055,0.0018731497,0.0004474707,0.00041144516,0.0004297636,0.00046772035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009930449,0.00051752717,0.0010459248,0.003168472,0.0019746986,0.0031075869,0.001445863,0.00081541575,0.0057081613],"category_scores_gemma":[0.0062954747,0.00053404574,0.0011311943,0.0011012695,0.0039701727,0.003294249,0.002940019,0.0016529261,0.00037738652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063727945,0.000027443863,0.001718445,0.000059224945,0.000013973003,0.0001458611,0.00027072045,0.0042028907,0.002269385,0.9855509,0.00041452653,0.005262811],"study_design_scores_gemma":[0.000045572662,0.000067380744,0.0018930904,0.00004200533,0.000037787984,0.00025467598,0.0002755485,0.062148985,0.0058519305,0.92698836,0.0023568035,0.000037794216],"about_ca_topic_score_codex":0.0011291697,"about_ca_topic_score_gemma":0.00077959447,"teacher_disagreement_score":0.0057081613,"about_ca_system_score_codex":0.002487934,"about_ca_system_score_gemma":0.0007128994,"threshold_uncertainty_score":0.019095719},"labels":[],"label_agreement":null},{"id":"W2964053975","doi":"10.4134/bkms.2015.52.1.045","title":"FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE","year":2015,"lang":"en","type":"article","venue":"Bulletin of the Korean Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Research Foundation of Korea; Ministry of Science, ICT and Future Planning; National Research Foundation","keywords":"Endomorphism; Bounded function; Mathematics; Degree (music); Polynomial; Discrete mathematics; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.09706514165799066,"score_gpt":0.3009071891249225,"score_spread":0.20384204746693182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964053975","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7876838,0.0006688858,0.1966256,0.0003001852,0.000057377933,0.000044308174,0.00013168054,0.00017741043,0.014310707],"genre_scores_gemma":[0.9867764,0.00018369137,0.009835467,0.000047618367,0.00005383563,0.00004024553,0.000084435,0.000031648095,0.0029466006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982565,0.00035176007,0.00011292841,0.00053039193,0.000458688,0.00028972517],"domain_scores_gemma":[0.9958073,0.0021459367,0.00057177,0.00044878144,0.0004709073,0.00055518566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013151021,0.00042974745,0.00053589395,0.0011624615,0.0010139656,0.0017433871,0.00070714176,0.00061139016,0.0027698656],"category_scores_gemma":[0.004596889,0.00041469405,0.00083869597,0.0005502323,0.002864601,0.0050615566,0.0022472441,0.0017617868,0.00024744865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006681225,0.000035531535,0.0011072791,0.00006706083,0.000020616033,0.00036472984,0.00089177024,0.0016285396,0.008442129,0.98265666,0.00012708893,0.0045917598],"study_design_scores_gemma":[0.000059589518,0.00017748422,0.0018817537,0.000029284742,0.00004581968,0.0007794997,0.00045360927,0.023031376,0.013604458,0.9547568,0.0051280493,0.000052270858],"about_ca_topic_score_codex":0.0006158744,"about_ca_topic_score_gemma":0.00044716324,"teacher_disagreement_score":0.0027698656,"about_ca_system_score_codex":0.0009994974,"about_ca_system_score_gemma":0.00048177716,"threshold_uncertainty_score":0.0092660785},"labels":[],"label_agreement":null},{"id":"W2964184551","doi":"10.4153/cmb-2011-134-0","title":"Characterizations of Model Manifolds by Means of Certain Differential Systems","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Rigidity (electromagnetism); Pure mathematics; Metric (unit); Metric space; Characterization (materials science); Mathematical analysis","score_opus":0.04926241481654307,"score_gpt":0.2519405587266269,"score_spread":0.20267814391008385,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964184551","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7697719,0.0003114791,0.19721253,0.0009186172,0.0000772218,0.00007524478,0.00028155735,0.00016725704,0.031184174],"genre_scores_gemma":[0.98689073,0.00010192943,0.009849706,0.000056842964,0.000031600426,0.000034872763,0.00011406293,0.000024481686,0.0028957254],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994374,0.00012232568,0.000034473942,0.00011219692,0.00020323775,0.00009035313],"domain_scores_gemma":[0.9994029,0.00009427386,0.00015673977,0.00009519829,0.00012992261,0.00012084439],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053307635,0.00048070282,0.0005368456,0.0014783469,0.0009967692,0.0017048279,0.000601949,0.0010870632,0.0037585013],"category_scores_gemma":[0.0014915016,0.00028297325,0.0006420561,0.0004660208,0.0020075946,0.0025166112,0.0020478931,0.0010909308,0.00024391328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012204532,0.0000109881275,0.00046260623,0.00001953074,0.000008477965,0.0000945343,0.00016634824,0.0053963205,0.003255835,0.98890066,0.00025773217,0.0014147807],"study_design_scores_gemma":[0.000016411084,0.00007943367,0.001664998,0.00002454253,0.000011078306,0.00041289107,0.00040298025,0.10179652,0.0036061767,0.88757277,0.00437543,0.000036878944],"about_ca_topic_score_codex":0.0004819919,"about_ca_topic_score_gemma":0.00040816917,"teacher_disagreement_score":0.0037585013,"about_ca_system_score_codex":0.00094817724,"about_ca_system_score_gemma":0.00032901653,"threshold_uncertainty_score":0.012573421},"labels":[],"label_agreement":null},{"id":"W2964227195","doi":"10.1090/tran/7860","title":"Rank-two Euler systems for symmetric squares","year":2019,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Horizon 2020; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Rank (graph theory); Euler's formula; Pure mathematics; Mathematical analysis; Combinatorics","score_opus":0.022207449222685024,"score_gpt":0.2969791607853744,"score_spread":0.27477171156268937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964227195","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24865218,0.0013593889,0.32412267,0.0029892372,0.0011596369,0.00012239648,0.0016052887,0.0015671888,0.41842195],"genre_scores_gemma":[0.8157334,0.0007157265,0.04190772,0.0006895794,0.00039419185,0.00009225784,0.001123901,0.000708143,0.13863514],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999331,0.0001494735,0.00003622147,0.00013420587,0.00019453808,0.00015457405],"domain_scores_gemma":[0.9993298,0.00023459681,0.00007359177,0.00012134527,0.00014144374,0.00009925896],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006433998,0.0007348386,0.0005268124,0.0014275564,0.0010757513,0.0022095144,0.0006287184,0.0006428022,0.032152142],"category_scores_gemma":[0.0023520621,0.0003694776,0.0007281201,0.0008400237,0.0018086452,0.0028220706,0.0019957323,0.001750496,0.0076587605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003234012,0.0000114815375,0.00016863148,0.000041583193,0.000005230792,0.00006571161,0.0001540952,0.0013218004,0.0006529987,0.97967017,0.004728149,0.013147821],"study_design_scores_gemma":[0.000012858371,0.00001551341,0.00016550336,0.000014966725,0.0000048324537,0.00007893039,0.00008871378,0.0042144167,0.0010600156,0.98224294,0.01208514,0.00001622192],"about_ca_topic_score_codex":0.0013801543,"about_ca_topic_score_gemma":0.0022080692,"teacher_disagreement_score":0.032152142,"about_ca_system_score_codex":0.0013594979,"about_ca_system_score_gemma":0.000637945,"threshold_uncertainty_score":0.10755962},"labels":[],"label_agreement":null},{"id":"W2973371698","doi":"10.1007/s10883-020-09502-5","title":"Remarks on Rational Vector Fields on $\\mathbb {C}\\mathbb {P}^{1}$","year":2020,"lang":"en","type":"preprint","venue":"Journal of Dynamical and Control Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Vector field; Degree (music); Mathematics; Domain (mathematical analysis); Field (mathematics); Polynomial; Translation (biology); Star (game theory); Parametric statistics; Pure mathematics; Combinatorics; Discrete mathematics; Algebra over a field; Geometry; Physics; Mathematical analysis","score_opus":0.027451388597186314,"score_gpt":0.2905552622401796,"score_spread":0.26310387364299326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2973371698","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6027491,0.0024255968,0.14774251,0.0089965705,0.0012540458,0.000074161595,0.00042792878,0.0005168136,0.23581327],"genre_scores_gemma":[0.95883065,0.0011062239,0.014332432,0.00059227215,0.0005795539,0.00004661229,0.00019995181,0.00015811124,0.02415424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927336,0.00016948936,0.000031802523,0.00015494516,0.00021267387,0.00015779292],"domain_scores_gemma":[0.9990146,0.00040616022,0.0001535327,0.000090736285,0.00017063704,0.00016425566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011881007,0.0007451074,0.00059260376,0.002506108,0.0021277932,0.0024216003,0.00086252595,0.0010881516,0.011871325],"category_scores_gemma":[0.0024941356,0.00030340324,0.00070957234,0.0009104316,0.0045115845,0.0045493348,0.0020417278,0.0019149892,0.00094683573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019729177,0.000007813082,0.00016121702,0.000017238006,0.0000021336507,0.00013205681,0.00019458133,0.00068799825,0.0003860631,0.9957398,0.00076103356,0.0018902514],"study_design_scores_gemma":[0.000020219892,0.000060447826,0.0007562716,0.00003891217,0.000008552876,0.00042969608,0.0005692727,0.005885523,0.0013526365,0.97030234,0.020548273,0.000027746064],"about_ca_topic_score_codex":0.0012219946,"about_ca_topic_score_gemma":0.0005680678,"teacher_disagreement_score":0.011871325,"about_ca_system_score_codex":0.001521665,"about_ca_system_score_gemma":0.00035153897,"threshold_uncertainty_score":0.03971356},"labels":[],"label_agreement":null},{"id":"W2975396334","doi":"10.3842/sigma.2019.091","title":"Locally Nilpotent Derivations of Free Algebra of Rank Two","year":2019,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fundação de Amparo à Pesquisa do Estado de São Paulo; Centre de Recherches Mathématiques","keywords":"Mathematics; Kernel (algebra); Rank (graph theory); Multiplicative function; Nilpotent; Cellular algebra; Pure mathematics; Symmetric algebra; Algebra over a field; Associative property; Division algebra; Locally nilpotent; Polynomial; Universal enveloping algebra; Commutative property; Filtered algebra; Algebra representation; Nilpotent group; Combinatorics; Mathematical analysis","score_opus":0.027551697728496877,"score_gpt":0.3676080420569637,"score_spread":0.3400563443284668,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2975396334","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8291425,0.0010368141,0.118828304,0.00054668967,0.00015411085,0.000057759717,0.00017329032,0.00025257372,0.04980798],"genre_scores_gemma":[0.9826963,0.00017096716,0.00732718,0.00008105306,0.000099571545,0.000017671206,0.00006391989,0.00003645576,0.009506936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995409,0.00009745853,0.00002675485,0.00008820091,0.0001657149,0.00008083034],"domain_scores_gemma":[0.9993711,0.000114430906,0.000103608596,0.000063521875,0.00018148411,0.00016591998],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039211876,0.00033412152,0.00034826263,0.0008957556,0.0008624828,0.0009810816,0.00046796325,0.0002730531,0.0030291395],"category_scores_gemma":[0.0010427589,0.00013238112,0.0003381973,0.00037458775,0.0016530969,0.0018017079,0.0013726647,0.00083035236,0.00064620055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035106288,0.000034634904,0.0006356291,0.000048123053,0.0000112534035,0.0004550949,0.0007744637,0.0009646081,0.010513994,0.97757727,0.0004342078,0.008515661],"study_design_scores_gemma":[0.000017674138,0.000058963375,0.0006000382,0.000011226654,0.0000077016675,0.00050438836,0.00014822131,0.006618344,0.006876669,0.97992253,0.005210444,0.000023812498],"about_ca_topic_score_codex":0.00041824073,"about_ca_topic_score_gemma":0.00040620216,"teacher_disagreement_score":0.0030291395,"about_ca_system_score_codex":0.00060031377,"about_ca_system_score_gemma":0.0006065695,"threshold_uncertainty_score":0.010133505},"labels":[],"label_agreement":null},{"id":"W2980338188","doi":"10.4153/s0008439519000626","title":"Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Quartic function; Hamiltonian system; Hamiltonian (control theory); Perturbation (astronomy); Limit cycle; Degree (music); Limit (mathematics); Mathematical analysis; Mathematical physics; Pure mathematics; Quantum mechanics; Mathematical optimization; Physics","score_opus":0.03799850379427426,"score_gpt":0.2639679789606289,"score_spread":0.22596947516635463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980338188","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99079293,0.000057601384,0.0061371727,0.0000625615,0.00001108264,0.000011990622,0.000019323657,0.00002821312,0.0028790918],"genre_scores_gemma":[0.9975478,0.000027866605,0.0013759458,0.000008276891,0.0000058717646,0.00001426698,0.000023113334,0.0000070066226,0.0009898648],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998355,0.000036035868,0.000009143894,0.000023334745,0.000056148026,0.00003973802],"domain_scores_gemma":[0.99900645,0.0003069377,0.0002468799,0.00007120184,0.00013034669,0.00023814273],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030428907,0.00023889789,0.00041549437,0.0010513199,0.00100082,0.0009525543,0.0005128583,0.0005889786,0.0033586607],"category_scores_gemma":[0.0019028961,0.00020774163,0.00033925782,0.00034151555,0.0010922373,0.0008061028,0.00091228244,0.00042750916,0.00015703836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010293665,0.00042815547,0.018717393,0.0002282059,0.00025157505,0.0039306753,0.001998045,0.21849948,0.11678686,0.6101318,0.0021208609,0.025877545],"study_design_scores_gemma":[0.000059055626,0.000325868,0.007142236,0.00002342145,0.000048329042,0.0006337898,0.00053068413,0.8157446,0.016347127,0.15736037,0.0017324825,0.000052161555],"about_ca_topic_score_codex":0.001131767,"about_ca_topic_score_gemma":0.00079305697,"teacher_disagreement_score":0.0033586607,"about_ca_system_score_codex":0.0009381165,"about_ca_system_score_gemma":0.00039631876,"threshold_uncertainty_score":0.011235833},"labels":[],"label_agreement":null},{"id":"W2996808160","doi":"10.4153/s0008439519000419","title":"On Homogeneous Polynomials Determined by their Partial Derivatives","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences","keywords":"Mathematics; Multiplicative function; Homogeneous; Homogeneous polynomial; Degree (music); Order (exchange); Polynomial; Constant (computer programming); Combinatorics; Partial derivative; Space (punctuation); Pure mathematics; Mathematical analysis; Matrix polynomial","score_opus":0.017077299008800433,"score_gpt":0.24954275370781692,"score_spread":0.2324654546990165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996808160","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8074949,0.0010510209,0.13398854,0.0007350227,0.00019985455,0.000047713533,0.00040097383,0.0001733271,0.05590873],"genre_scores_gemma":[0.9868803,0.0005028212,0.0044039013,0.000080053556,0.00015849742,0.000011404546,0.0001386991,0.00004122152,0.0077831172],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943954,0.00008176065,0.000017401107,0.00011329031,0.00016508042,0.00018286648],"domain_scores_gemma":[0.9993332,0.00015202533,0.00015509578,0.00006939143,0.00013629906,0.00015398556],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005517677,0.0006789953,0.0006479933,0.0019652785,0.0009279061,0.0016173866,0.0005810645,0.0002768132,0.0034107766],"category_scores_gemma":[0.0016766599,0.00022272597,0.00058210857,0.0016291257,0.002739175,0.0016018448,0.0016956781,0.0012301082,0.00061561447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000071389695,0.000022469592,0.0005837183,0.000041378386,0.000013065638,0.00015848302,0.00025039082,0.002540601,0.0037962035,0.9850662,0.0006533835,0.006802682],"study_design_scores_gemma":[0.000040378916,0.00009868585,0.0019990597,0.00002767081,0.000026928648,0.0002933263,0.00020154215,0.026316913,0.005010914,0.95921206,0.006725547,0.00004693328],"about_ca_topic_score_codex":0.0029834956,"about_ca_topic_score_gemma":0.0015704766,"teacher_disagreement_score":0.0034107766,"about_ca_system_score_codex":0.0016808321,"about_ca_system_score_gemma":0.0006165833,"threshold_uncertainty_score":0.012195349},"labels":[],"label_agreement":null},{"id":"W30021550","doi":"10.1007/978-94-010-0886-0_6","title":"Vector Fields and Maps","year":2001,"lang":"en","type":"book-chapter","venue":"Solid mechanics and its applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Floquet theory; Vector field; Mathematics; Limit cycle; Mathematical analysis; Nonlinear system; Perturbation (astronomy); Limit (mathematics); Pure mathematics; Applied mathematics; Geometry; Physics","score_opus":0.03510603534475221,"score_gpt":0.2930702766144771,"score_spread":0.2579642412697249,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W30021550","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00269817,0.06533089,0.029039567,0.0029389155,0.0036553529,0.000043556887,0.00023906033,0.00023350134,0.895821],"genre_scores_gemma":[0.071607605,0.051885292,0.012091375,0.0012442515,0.0038795946,0.00015772968,0.00042318186,0.0002811479,0.85842973],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.999801,0.000051662522,0.000009173134,0.000031491374,0.000087361,0.000019371933],"domain_scores_gemma":[0.99988794,0.00003342564,0.000008846412,0.000021280455,0.00003512032,0.000013352029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002577318,0.0011276815,0.0007527633,0.0019453983,0.0010382343,0.0030982723,0.00062134664,0.00079394015,0.01620424],"category_scores_gemma":[0.000589404,0.0003581417,0.00025879455,0.0028617708,0.0025761311,0.004143063,0.0010342189,0.0019801804,0.006307496],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030846552,0.000008584584,0.000022917387,0.000073308576,0.0000027403644,0.000013127432,0.00019286941,0.00023382045,0.00019741117,0.92712826,0.042150468,0.029973386],"study_design_scores_gemma":[0.000003113196,0.000009238005,0.00010528156,0.000068346184,0.0000037858676,0.000070873655,0.00010747843,0.00044778836,0.00013080331,0.51860493,0.48044372,0.0000047323265],"about_ca_topic_score_codex":0.001999811,"about_ca_topic_score_gemma":0.0020727592,"teacher_disagreement_score":0.01620424,"about_ca_system_score_codex":0.0014312869,"about_ca_system_score_gemma":0.0009450589,"threshold_uncertainty_score":0.054208577},"labels":[],"label_agreement":null},{"id":"W3006693275","doi":"10.1007/s12346-020-00416-y","title":"On the Universal Unfolding of Vector Fields in One Variable: A Proof of Kostov’s Theorem","year":2020,"lang":"en","type":"preprint","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Stantec (Canada)","funders":"","keywords":"Universality (dynamical systems); Mathematics; Vector field; Pure mathematics; Point (geometry); Kelvin–Stokes theorem; Variable (mathematics); Discrete mathematics; Mathematical analysis; Brouwer fixed-point theorem; Physics; Fixed-point theorem; Geometry; Danskin's theorem; Quantum mechanics","score_opus":0.10261611122190237,"score_gpt":0.3546474675478553,"score_spread":0.25203135632595297,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3006693275","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55085176,0.00082295417,0.33819732,0.0025581913,0.00031738044,0.000049307437,0.00022108853,0.0003928276,0.10658913],"genre_scores_gemma":[0.98613006,0.0002276371,0.009286783,0.00016703882,0.00008821656,0.000015771531,0.000047608242,0.00005469463,0.0039822436],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952805,0.00009857692,0.000020105539,0.00010081284,0.00016597183,0.00008641609],"domain_scores_gemma":[0.999363,0.00018024868,0.00010019967,0.00012630444,0.00013107894,0.00009925943],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010776448,0.0003376511,0.00034936296,0.0009809204,0.000983933,0.0010459966,0.0005845897,0.00040430453,0.0034913472],"category_scores_gemma":[0.0017375792,0.00020909253,0.0006488736,0.00047603785,0.0036582437,0.002769269,0.0027393615,0.0016156652,0.00030899784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000060757657,0.000006230951,0.00023160983,0.000010679503,0.0000025786146,0.00008290427,0.00014297714,0.00062806025,0.00087414053,0.9961958,0.0002536244,0.0015653126],"study_design_scores_gemma":[0.0000063024927,0.000025600842,0.0006338484,0.000013523002,0.0000036356978,0.00020086677,0.00016612912,0.009607837,0.0014466519,0.983517,0.0043664793,0.000012262607],"about_ca_topic_score_codex":0.0005673703,"about_ca_topic_score_gemma":0.0003029448,"teacher_disagreement_score":0.0034913472,"about_ca_system_score_codex":0.00092513626,"about_ca_system_score_gemma":0.00037886968,"threshold_uncertainty_score":0.011679709},"labels":[],"label_agreement":null},{"id":"W3007332391","doi":"","title":"Limit cycles for fourth-order autonomous differential equations","year":2012,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Limit (mathematics); Order (exchange); Limit cycle; Differential equation; Mathematical analysis; Applied mathematics","score_opus":0.3756999486594418,"score_gpt":0.5718867962668991,"score_spread":0.1961868476074573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3007332391","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7413776,0.0012444365,0.19681598,0.0018768561,0.0002014387,0.0001214536,0.00028627538,0.00033261042,0.057743356],"genre_scores_gemma":[0.9647441,0.0004238971,0.019307693,0.0001656036,0.000048872753,0.00021403105,0.00021949125,0.00009033944,0.014786076],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996278,0.00008827262,0.00004119455,0.000063402375,0.00010131041,0.00007799859],"domain_scores_gemma":[0.9975434,0.0011382282,0.00041070094,0.00015310702,0.0004609732,0.0002936358],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009313915,0.000598227,0.0008153225,0.0015897085,0.0011525198,0.0018868868,0.0009488229,0.0011146644,0.0058269827],"category_scores_gemma":[0.0055377404,0.00049654994,0.0009484988,0.0004272753,0.0015905859,0.0016042778,0.0020834326,0.0011028511,0.0006062664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009850315,0.00005372948,0.0024312213,0.00013802167,0.00005667106,0.0009694365,0.00065324665,0.025876256,0.007196069,0.95384455,0.0015624334,0.007119782],"study_design_scores_gemma":[0.00008090153,0.000059110815,0.0006778551,0.0000573032,0.00002692602,0.0004118314,0.00028074218,0.32574588,0.0036451498,0.66340655,0.0055586398,0.00004910582],"about_ca_topic_score_codex":0.0016807505,"about_ca_topic_score_gemma":0.0016850614,"teacher_disagreement_score":0.0058269827,"about_ca_system_score_codex":0.0011868112,"about_ca_system_score_gemma":0.0012145847,"threshold_uncertainty_score":0.019493163},"labels":[],"label_agreement":null},{"id":"W3008110293","doi":"10.1007/s12346-020-00372-7","title":"Global Topological Configurations of Singularities for the Whole Family of Quadratic Differential Systems","year":2020,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España; Agència de Gestió d'Ajuts Universitaris i de Recerca; Natural Sciences and Engineering Research Council of Canada; Horizon 2020 Framework Programme; H2020 European Research Council; Agencia Estatal de Investigación","keywords":"Gravitational singularity; Mathematics; Quadratic differential; Phase portrait; Quadratic equation; Topology (electrical circuits); Pure mathematics; Invariant (physics); Polynomial; Mathematical analysis; Combinatorics; Geometry; Nonlinear system; Physics; Mathematical physics","score_opus":0.1359399087410647,"score_gpt":0.39426037756137766,"score_spread":0.25832046882031295,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008110293","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79984075,0.0030268503,0.15556419,0.0015539547,0.00024679198,0.00011433054,0.0004607706,0.0001468414,0.039045572],"genre_scores_gemma":[0.975816,0.0009780364,0.018563833,0.00011025767,0.00009647848,0.00005477361,0.00043308627,0.0000430683,0.0039044917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951494,0.00008031104,0.000031860916,0.00013588616,0.00014820184,0.000088803354],"domain_scores_gemma":[0.99933964,0.0002484159,0.00012578063,0.00010115186,0.00008524358,0.00009964198],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051848654,0.0005451376,0.0004861166,0.0021737071,0.0014842991,0.0022894049,0.00056195795,0.00075269485,0.0052910624],"category_scores_gemma":[0.0023199155,0.00031224737,0.00091537915,0.0008524574,0.0031731382,0.0028760333,0.0015635837,0.0017620886,0.00048613444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011064222,0.000035515197,0.005439803,0.00016824424,0.000029847444,0.0006291815,0.001398816,0.0046028616,0.004678792,0.9522797,0.0020262059,0.028600404],"study_design_scores_gemma":[0.000028175353,0.000087506414,0.0041791126,0.00007721169,0.000025920557,0.0010625011,0.0007819772,0.019601485,0.0025326023,0.9623615,0.009210566,0.00005145051],"about_ca_topic_score_codex":0.00043126094,"about_ca_topic_score_gemma":0.00032157174,"teacher_disagreement_score":0.0052910624,"about_ca_system_score_codex":0.00093758525,"about_ca_system_score_gemma":0.00022436118,"threshold_uncertainty_score":0.017700434},"labels":[],"label_agreement":null},{"id":"W3008125169","doi":"10.1142/s0218127420502363","title":"Visualization of Four Limit Cycles in Near-Integrable Quadratic Polynomial Systems","year":2020,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quadratic equation; Limit (mathematics); Visualization; Limit cycle; Polynomial; Quadratic function","score_opus":0.060672293415502156,"score_gpt":0.33456492786134173,"score_spread":0.27389263444583956,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008125169","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93824863,0.00024187857,0.046913385,0.00044854227,0.00007257991,0.00004473314,0.00026639196,0.0006964944,0.013067281],"genre_scores_gemma":[0.9879435,0.00007410066,0.010332695,0.000028067157,0.0000070784017,0.000020677156,0.00016062871,0.000067156085,0.0013662102],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9998604,0.000033615535,0.0000069017856,0.000019991177,0.0000524649,0.000026601256],"domain_scores_gemma":[0.999703,0.00012122203,0.00002968125,0.000035625384,0.000051680472,0.000058758174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002295739,0.00029710578,0.00036193337,0.00055884925,0.0005351739,0.00049875834,0.00038228373,0.00052455306,0.004336875],"category_scores_gemma":[0.000907819,0.0001410756,0.00034047055,0.00030377024,0.00053724024,0.0008035421,0.00073790445,0.0005088094,0.00018725653],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006573227,0.00024627385,0.01764001,0.00035124324,0.0001272481,0.0029866113,0.0041435757,0.7048471,0.106073745,0.11345514,0.0061122114,0.043359574],"study_design_scores_gemma":[0.000042665513,0.00014100349,0.0037614573,0.000030739022,0.0000164111,0.00033747416,0.0003868917,0.9568977,0.012484284,0.02039388,0.0054640723,0.000043369688],"about_ca_topic_score_codex":0.0018982701,"about_ca_topic_score_gemma":0.0009257001,"teacher_disagreement_score":0.004336875,"about_ca_system_score_codex":0.00048124016,"about_ca_system_score_gemma":0.000390532,"threshold_uncertainty_score":0.014508247},"labels":[],"label_agreement":null},{"id":"W3008479839","doi":"10.1023/a:1022184114576","title":"Nonlinear Effects on Coexistence Phenomenon in Parametric Excitation","year":2003,"lang":"en","type":"article","venue":"Nonlinear Dynamics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Mathematics","score_opus":0.03184678698027419,"score_gpt":0.31588046749410886,"score_spread":0.28403368051383465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008479839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88732594,0.0010045358,0.065072715,0.0006216322,0.00024701754,0.00004805792,0.00007507575,0.00023888667,0.045366175],"genre_scores_gemma":[0.99673694,0.0001893071,0.0011649427,0.000020908923,0.000042359774,0.00001213526,0.0000149339285,0.000027989905,0.0017903318],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99985397,0.000039517556,0.000006074007,0.000023303133,0.000042797707,0.00003431855],"domain_scores_gemma":[0.99935097,0.00027595644,0.00009907769,0.000066089975,0.000081106286,0.00012672579],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002471928,0.0003992652,0.000534841,0.0011389294,0.001241153,0.00090812927,0.0005826056,0.00062709244,0.0041911425],"category_scores_gemma":[0.0017714839,0.0002773643,0.00036794296,0.0004130707,0.0013873449,0.0019114345,0.0019892969,0.0008294193,0.00030839097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012484567,0.0003006348,0.00479315,0.00047370818,0.00009373628,0.0032592746,0.0027759175,0.064092286,0.25637445,0.63227725,0.0019996718,0.03231141],"study_design_scores_gemma":[0.0001251513,0.00029949402,0.009659814,0.000065287764,0.00011449708,0.0015233592,0.0009368086,0.5984017,0.0489005,0.33696562,0.0028611622,0.0001466005],"about_ca_topic_score_codex":0.00031407276,"about_ca_topic_score_gemma":0.00021695097,"teacher_disagreement_score":0.0041911425,"about_ca_system_score_codex":0.00025023113,"about_ca_system_score_gemma":0.00015534204,"threshold_uncertainty_score":0.014020741},"labels":[],"label_agreement":null},{"id":"W3010216137","doi":"10.3934/dcds.2021114","title":"Families of vector fields with many numerical invariants","year":2021,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Construct (python library); Vector field; Finite field; Planar; Mathematics; Pure mathematics; Field (mathematics); Vector potential; Discrete mathematics; Computer science; Physics; Geometry; Quantum mechanics","score_opus":0.016796007050080154,"score_gpt":0.26658134379759424,"score_spread":0.24978533674751408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3010216137","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8029395,0.00076345354,0.12687564,0.0008772203,0.00023584893,0.000079455334,0.00048091434,0.00066108076,0.06708691],"genre_scores_gemma":[0.979455,0.00025090808,0.008942766,0.00011256202,0.0001127395,0.00008498297,0.0004658042,0.0001694271,0.010405805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960047,0.00008394814,0.000024555855,0.00009498076,0.000105179955,0.00009087777],"domain_scores_gemma":[0.9992913,0.00015843737,0.00019883986,0.00008107028,0.00014120851,0.00012915151],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004184866,0.00048461295,0.0003867084,0.0021709981,0.0011156284,0.001944805,0.0005370841,0.000787206,0.0075632585],"category_scores_gemma":[0.0018061959,0.0002599888,0.0005514054,0.00064357364,0.0011756406,0.0020925496,0.00076213083,0.0007886555,0.0009506684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007483327,0.000050944036,0.0024981787,0.0000634074,0.000019595736,0.00023685001,0.00023589669,0.006594865,0.005762315,0.9688525,0.0024567721,0.013153893],"study_design_scores_gemma":[0.000056496625,0.00011118234,0.0045623765,0.00009911288,0.000033882574,0.0008362319,0.00046674933,0.14850086,0.007601855,0.8240322,0.013613105,0.00008588072],"about_ca_topic_score_codex":0.0007475744,"about_ca_topic_score_gemma":0.00042809357,"teacher_disagreement_score":0.0075632585,"about_ca_system_score_codex":0.0012911212,"about_ca_system_score_gemma":0.0004177319,"threshold_uncertainty_score":0.025301635},"labels":[],"label_agreement":null},{"id":"W3010362469","doi":"10.1007/s12346-020-00350-z","title":"Bifurcation of Relative Equilibria for Vortices and General Homogeneous Potentials","year":2020,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Equilateral triangle; Vortex; Mathematics; Hamiltonian (control theory); Logarithm; Regular polygon; Algebraic number; Homogeneous; Bifurcation; Mathematical analysis; Mathematical physics; Combinatorics; Geometry; Physics; Quantum mechanics; Mechanics","score_opus":0.11913765391839615,"score_gpt":0.3976663247982838,"score_spread":0.27852867087988764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3010362469","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8083597,0.0013775893,0.12813829,0.0011458385,0.00017672098,0.000096163574,0.00012615956,0.00012995838,0.060449652],"genre_scores_gemma":[0.991402,0.0002636718,0.005136372,0.00005944778,0.000040039256,0.000033772463,0.00004326036,0.000021274445,0.0030001407],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998185,0.000067437875,0.000010007087,0.000023321381,0.00004056486,0.00004028428],"domain_scores_gemma":[0.99961567,0.00015419988,0.00008351176,0.000027050311,0.000051152347,0.000068445814],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007059883,0.00026688035,0.00040449167,0.0017793637,0.0008232512,0.0018886764,0.00053727714,0.0007375713,0.0030571234],"category_scores_gemma":[0.002428822,0.00023010268,0.00050194806,0.00052697136,0.0016639623,0.0018476527,0.0013731499,0.0006631937,0.00030926193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055190252,0.000020748379,0.0003659179,0.000029435474,0.000009366933,0.00011549176,0.00020890514,0.005281199,0.003461274,0.9866325,0.00043799396,0.003382016],"study_design_scores_gemma":[0.000043637683,0.000040168343,0.00071874267,0.00002833804,0.0000112058015,0.00020109644,0.00030818308,0.075560965,0.0015449355,0.9199434,0.0015786868,0.000020616402],"about_ca_topic_score_codex":0.000458642,"about_ca_topic_score_gemma":0.00033266516,"teacher_disagreement_score":0.0030571234,"about_ca_system_score_codex":0.0010949381,"about_ca_system_score_gemma":0.00037144937,"threshold_uncertainty_score":0.010227084},"labels":[],"label_agreement":null},{"id":"W3015171101","doi":"10.13001/ela.2020.5057","title":"Spectral Properties of Sign Patterns","year":2020,"lang":"en","type":"article","venue":"Electronic Journal of Linear Algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Redeemer University; University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Sign (mathematics); Mathematics; Jacobian matrix and determinant; Nilpotent; Pure mathematics; Mathematical analysis; Applied mathematics","score_opus":0.04031225265795369,"score_gpt":0.2748174595637456,"score_spread":0.2345052069057919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3015171101","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79055625,0.00018632639,0.1413896,0.00030343953,0.00013510272,0.00004570006,0.00010827003,0.00026415073,0.06701107],"genre_scores_gemma":[0.9829679,0.00010331441,0.010345787,0.000060053753,0.000041399147,0.00002551608,0.00010273531,0.0000940656,0.006259213],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994547,0.000074532,0.00003874258,0.00007663353,0.00024425564,0.00011115099],"domain_scores_gemma":[0.9991641,0.00017326648,0.00013112785,0.00019830084,0.00020559096,0.00012762194],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003125756,0.00024820192,0.00022406444,0.00075300224,0.0009417403,0.001115205,0.00034778353,0.00033440164,0.0050713923],"category_scores_gemma":[0.0020277482,0.00019549175,0.000301075,0.0004055299,0.0019368062,0.0016299464,0.00095019833,0.00081560726,0.0005844156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057671925,0.00002029648,0.0011933114,0.00004413004,0.0000045164043,0.00034478554,0.00034451703,0.0016522763,0.021435322,0.95961666,0.000625006,0.014661571],"study_design_scores_gemma":[0.000021804406,0.000086024695,0.0014332263,0.00002816527,0.000009448951,0.0011474122,0.0003295532,0.01964378,0.021739056,0.9463423,0.009176244,0.00004297612],"about_ca_topic_score_codex":0.0002493585,"about_ca_topic_score_gemma":0.00028816075,"teacher_disagreement_score":0.0050713923,"about_ca_system_score_codex":0.0002991742,"about_ca_system_score_gemma":0.0003086975,"threshold_uncertainty_score":0.016965508},"labels":[],"label_agreement":null},{"id":"W3030446238","doi":"10.1186/s13660-020-2292-3","title":"Existence of rotating-periodic solutions for nonlinear second order vector differential equations","year":2020,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"China Scholarship Council; University of Alberta","keywords":"Mathematics; Nonlinear system; Degree (music); Mathematical analysis; Order (exchange); Symmetry (geometry); Differential equation; Harmonic; Pure mathematics; Geometry","score_opus":0.08714805911847139,"score_gpt":0.32981482681576935,"score_spread":0.24266676769729795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3030446238","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26838735,0.0018555399,0.7038073,0.0012073342,0.00028015266,0.00007451657,0.000095375246,0.00010998717,0.024182456],"genre_scores_gemma":[0.94138676,0.00092777377,0.051015593,0.00015560027,0.00013905192,0.00008015155,0.000083861785,0.00003410956,0.006177201],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961084,0.00013741868,0.000029553958,0.000062265724,0.000094596115,0.00006537594],"domain_scores_gemma":[0.99910945,0.00025166274,0.00020694979,0.00005628346,0.00027257984,0.000102961],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012528887,0.0005641814,0.0006177936,0.0010240454,0.00058970717,0.0008911926,0.0006041912,0.00059063075,0.002351637],"category_scores_gemma":[0.002617594,0.0002697087,0.00088707777,0.00036300786,0.0012807846,0.001451142,0.0012653833,0.0011688186,0.0002477976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000075154836,0.000032876396,0.0013661277,0.00019843367,0.00004362303,0.0004058576,0.00029285677,0.02094208,0.021036442,0.93668926,0.0011587092,0.01775852],"study_design_scores_gemma":[0.000058830712,0.0001664404,0.0017398663,0.000094606614,0.000037869886,0.00079534255,0.00039022294,0.6641532,0.012806107,0.31500712,0.0046697003,0.00008066275],"about_ca_topic_score_codex":0.00049985154,"about_ca_topic_score_gemma":0.00028575023,"teacher_disagreement_score":0.002351637,"about_ca_system_score_codex":0.00040885436,"about_ca_system_score_gemma":0.0005661894,"threshold_uncertainty_score":0.007867038},"labels":[],"label_agreement":null},{"id":"W3037518341","doi":"10.1090/fic/060/07","title":"The ℓ-rank structure of a global function field","year":2011,"lang":"en","type":"other","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Rank (graph theory); Field (mathematics); Function (biology); Mathematics; Geography; Combinatorics; Pure mathematics; Biology; Evolutionary biology","score_opus":0.018537252773590567,"score_gpt":0.28023076913956596,"score_spread":0.2616935163659754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037518341","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6709758,0.0010005191,0.20643632,0.002037362,0.00024306728,0.000081923215,0.00044471736,0.00089245447,0.117887765],"genre_scores_gemma":[0.9549567,0.0003819713,0.02463627,0.00015353104,0.00036886387,0.00004724556,0.00020476067,0.00015400015,0.019096568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995209,0.000082147395,0.000019237505,0.00011184881,0.00015652207,0.00010936061],"domain_scores_gemma":[0.9979925,0.00072307495,0.00026490036,0.00038802865,0.00024758728,0.00038386715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010877023,0.00053878926,0.0004703552,0.0013203217,0.0011277399,0.0023542664,0.0005824285,0.00045717903,0.007411737],"category_scores_gemma":[0.0025975828,0.00033698892,0.0003895515,0.00052013784,0.0031296841,0.0051957844,0.0019393944,0.0019858407,0.0010025477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014700273,0.000040022165,0.0012635079,0.0001290573,0.000008627183,0.00017439268,0.0004321613,0.0029947273,0.009123035,0.9639325,0.0027797453,0.018975217],"study_design_scores_gemma":[0.00006107343,0.00022603798,0.0022932175,0.00004456218,0.000028632237,0.00058343017,0.00016025345,0.012174292,0.011086451,0.9587716,0.014520329,0.000050078776],"about_ca_topic_score_codex":0.0002174509,"about_ca_topic_score_gemma":0.0002269544,"teacher_disagreement_score":0.007411737,"about_ca_system_score_codex":0.0007151244,"about_ca_system_score_gemma":0.0003375201,"threshold_uncertainty_score":0.024794757},"labels":[],"label_agreement":null},{"id":"W3041276475","doi":"10.1088/1751-8121/abdc81","title":"Second-order delay ordinary differential equations, their symmetries and application to a traffic problem","year":2021,"lang":"en","type":"preprint","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Foundation for Basic Research","keywords":"Homogeneous space; Ordinary differential equation; Mathematics; Ode; Class (philosophy); Variable (mathematics); Invariant (physics); Nonlinear system; Pure mathematics; Symmetry group; Symmetry (geometry); Variables; Dimension (graph theory); Order (exchange); Applied mathematics; Differential equation; Mathematical analysis; Mathematical physics; Physics; Quantum mechanics; Computer science","score_opus":0.015636903688116665,"score_gpt":0.28027454602176605,"score_spread":0.2646376423336494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3041276475","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5622351,0.0017568101,0.37454852,0.0031742612,0.0004387797,0.000083330386,0.00015269728,0.0001250131,0.057485413],"genre_scores_gemma":[0.96433985,0.0005439753,0.023419024,0.0001304871,0.00015747495,0.000042241205,0.00005266778,0.000020711865,0.0112935575],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998473,0.00005976398,0.0000063257758,0.000012577872,0.00005209119,0.000021963935],"domain_scores_gemma":[0.99978894,0.000069635804,0.000043356606,0.00001919964,0.00003878449,0.00004008554],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046833945,0.00033442775,0.00046283292,0.00053119543,0.0004917596,0.0008040525,0.00047986614,0.0008074301,0.0020027899],"category_scores_gemma":[0.001081265,0.00014064014,0.000613816,0.00045701963,0.0012547947,0.0008273117,0.0010159415,0.00072361523,0.00015289804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013911129,0.000028038077,0.0003393179,0.00003083362,0.000009064965,0.00020804371,0.00015737636,0.03935659,0.0015393335,0.95454705,0.0005785637,0.0031919968],"study_design_scores_gemma":[0.000021739172,0.000032011307,0.0002289372,0.000008403607,0.0000034203665,0.00015450653,0.00011384984,0.2935147,0.0003807207,0.70346457,0.0020668388,0.0000103471275],"about_ca_topic_score_codex":0.0017188771,"about_ca_topic_score_gemma":0.0011194316,"teacher_disagreement_score":0.0020027899,"about_ca_system_score_codex":0.0006879131,"about_ca_system_score_gemma":0.0005605951,"threshold_uncertainty_score":0.0066999793},"labels":[],"label_agreement":null},{"id":"W3045078770","doi":"10.1007/s12215-020-00541-2","title":"Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point","year":2020,"lang":"en","type":"article","venue":"Rendiconti del Circolo Matematico di Palermo Series 2","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Universitat Autònoma de Barcelona; Agència de Gestió d'Ajuts Universitaris i de Recerca; Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Horizon 2020 Framework Programme; H2020 European Research Council; Agencia Estatal de Investigación; Academia de Ştiinţe a Moldovei","keywords":"Phase portrait; Invariant (physics); Mathematics; Quadratic equation; Invariant theory; Homoclinic orbit; Pure mathematics; Limit cycle; Algebraic number; Mathematical analysis; Bifurcation; Limit (mathematics); Mathematical physics; Physics; Algebra over a field; Geometry; Quantum mechanics; Nonlinear system","score_opus":0.07071897736749366,"score_gpt":0.3114772222483411,"score_spread":0.24075824488084746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3045078770","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7858054,0.00037051385,0.13914324,0.0007159698,0.00019813917,0.00022140812,0.00085332163,0.00038721907,0.0723047],"genre_scores_gemma":[0.9873526,0.00016989568,0.0048464322,0.00007507664,0.00007808217,0.0001065849,0.00048994814,0.00011096508,0.0067704474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996972,0.000054838358,0.00001954604,0.000062244624,0.00008513497,0.00008109825],"domain_scores_gemma":[0.99875784,0.0003888951,0.0002870734,0.00007165107,0.00026756883,0.00022709137],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004429528,0.0005790292,0.0005637828,0.0021836222,0.0009938456,0.0025281215,0.0008627669,0.0009509931,0.013591826],"category_scores_gemma":[0.002865286,0.00033612904,0.00062245387,0.0004421976,0.0013565078,0.0016297292,0.0012534956,0.0011111456,0.001086821],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033538832,0.00014992635,0.0017129468,0.00014999672,0.000060372484,0.00085322955,0.00088066875,0.01587683,0.028883256,0.93715477,0.0025929408,0.011349768],"study_design_scores_gemma":[0.00034445873,0.0003695668,0.00536779,0.00008951436,0.000054456345,0.00061671913,0.0013986855,0.23164982,0.011529354,0.7430365,0.0054202466,0.00012287899],"about_ca_topic_score_codex":0.0013128088,"about_ca_topic_score_gemma":0.0012923995,"teacher_disagreement_score":0.013591826,"about_ca_system_score_codex":0.0011908874,"about_ca_system_score_gemma":0.0006097607,"threshold_uncertainty_score":0.045469165},"labels":[],"label_agreement":null},{"id":"W3046516914","doi":"10.1155/2020/5263750","title":"Central Configurations and Action Minimizing Orbits in Kite Four-Body Problem","year":2020,"lang":"en","type":"article","venue":"Advances in Astronomy","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Kite; Quasiperiodic function; Physics; Action (physics); Context (archaeology); Three-body problem; Classical mechanics; Periodic orbits; Space (punctuation); Dynamical systems theory; Pure mathematics; Mathematical analysis; Geometry; Mathematics; Quantum mechanics; Computer science","score_opus":0.05312055422697346,"score_gpt":0.32077992161931507,"score_spread":0.2676593673923416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3046516914","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9173804,0.00042726536,0.07138649,0.000519377,0.000026231597,0.000033281376,0.000077162586,0.000054901655,0.010094817],"genre_scores_gemma":[0.98552495,0.00014294243,0.011120834,0.000043838125,0.00001977251,0.00005136411,0.000095767515,0.000028457645,0.002972099],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999859,0.00005322596,0.000006380677,0.000025600837,0.00002318682,0.000032520584],"domain_scores_gemma":[0.99960726,0.00015112976,0.00008625538,0.000026287846,0.00003437405,0.000094800605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052602735,0.0004739851,0.00058078545,0.0008126198,0.00088160235,0.0009215122,0.00052624755,0.0009458642,0.0021629177],"category_scores_gemma":[0.001550232,0.00029437896,0.00044935205,0.00029370838,0.0019410878,0.0009277981,0.0015544884,0.00053037476,0.00017185922],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015356045,0.000057428755,0.0032167062,0.00014323049,0.00005683688,0.00067606044,0.0004901695,0.22491828,0.0043410133,0.7584054,0.0009813907,0.0065599405],"study_design_scores_gemma":[0.000046273006,0.00007541325,0.0015593678,0.000036970705,0.000011713268,0.00024202584,0.00035267047,0.48062387,0.0008757377,0.5153451,0.0007985044,0.00003231846],"about_ca_topic_score_codex":0.0010119679,"about_ca_topic_score_gemma":0.0006217675,"teacher_disagreement_score":0.0021629177,"about_ca_system_score_codex":0.0005331671,"about_ca_system_score_gemma":0.00040906723,"threshold_uncertainty_score":0.0072356462},"labels":[],"label_agreement":null},{"id":"W3047948945","doi":"10.1088/1361-6544/ab8f7b","title":"Bounding extrema over global attractors using polynomial optimisation","year":2020,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Attractor; Lyapunov function; Bounded function; Polynomial; Lyapunov exponent; Maxima and minima; Chaotic; Bounding overwatch; Upper and lower bounds","score_opus":0.19575715552419243,"score_gpt":0.3983129863549622,"score_spread":0.20255583083076978,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3047948945","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035222832,0.00013461581,0.9606038,0.00010685834,0.000015291947,0.000024197763,0.000030556563,0.00016259862,0.003699258],"genre_scores_gemma":[0.80560786,0.00018897698,0.19053483,0.00006165138,0.000028231632,0.0000965921,0.000111864945,0.0002635844,0.0031064246],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913365,0.00031571888,0.000032846336,0.00012898304,0.00026597403,0.00012287594],"domain_scores_gemma":[0.99742377,0.0017782575,0.0002306628,0.00022945106,0.0002398397,0.00009804945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018903221,0.0010124765,0.0011092072,0.0009319018,0.00052955793,0.0011289787,0.0010041327,0.0006779546,0.0026041165],"category_scores_gemma":[0.006178702,0.0003870457,0.00088981586,0.00051894365,0.0017899233,0.0012266133,0.0021470748,0.0019661298,0.00032601808],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045505803,0.000019656423,0.0003677853,0.000053408723,0.000019447793,0.00004586511,0.000047075395,0.95364213,0.0032008067,0.033284884,0.00024272595,0.009030726],"study_design_scores_gemma":[0.0000032851797,0.000020887679,0.000070797614,0.000007404149,0.0000031469526,0.0000063383127,0.000007845079,0.9872672,0.0010148135,0.011286239,0.000307873,0.000004284964],"about_ca_topic_score_codex":0.0019977535,"about_ca_topic_score_gemma":0.0022759691,"teacher_disagreement_score":0.0026041165,"about_ca_system_score_codex":0.0012764588,"about_ca_system_score_gemma":0.0007596854,"threshold_uncertainty_score":0.00999707},"labels":[],"label_agreement":null},{"id":"W3060713017","doi":"10.1016/j.topol.2020.107364","title":"Vector fields on projective Stiefel manifolds and the Browder-Dupont invariant","year":2020,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Vedecká Grantová Agentúra MŠVVaŠ SR a SAV; Agentúra na Podporu Výskumu a Vývoja; Slovenská Akadémia Vied","keywords":"Mathematics; Invariant (physics); Corollary; Pure mathematics; Lift (data mining); Vector field; Combinatorics; Geometry; Mathematical physics","score_opus":0.04579030314557739,"score_gpt":0.30441027159399087,"score_spread":0.2586199684484135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3060713017","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7937028,0.0037525338,0.083040066,0.0031662674,0.0006152782,0.00006417469,0.0005058759,0.00018809752,0.11496496],"genre_scores_gemma":[0.9671317,0.0016349163,0.009147239,0.00023694488,0.00047468708,0.000044351535,0.00025600113,0.00005797393,0.021016154],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973243,0.00006756248,0.000014149446,0.00006233414,0.000063205,0.000060290735],"domain_scores_gemma":[0.9993575,0.00016148626,0.00015859905,0.000046008394,0.00011063734,0.00016574297],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006757691,0.0008268692,0.00067968515,0.004226489,0.0014807619,0.0026818223,0.00093112746,0.0012018323,0.0044105174],"category_scores_gemma":[0.0016929294,0.00034460472,0.0004579694,0.001931326,0.0028684295,0.0050140345,0.0017404974,0.0016976133,0.00043137235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014013304,0.000010242472,0.00013738482,0.000007803462,0.0000029600135,0.000047382535,0.00010904027,0.00043372667,0.00049970485,0.9962947,0.00034703876,0.0020960704],"study_design_scores_gemma":[0.000015734495,0.000030576994,0.0004225184,0.000009745668,0.000005127927,0.00011386383,0.00011474364,0.004871134,0.00036372044,0.99146795,0.0025708133,0.000014000957],"about_ca_topic_score_codex":0.0023394334,"about_ca_topic_score_gemma":0.0012899173,"teacher_disagreement_score":0.0044105174,"about_ca_system_score_codex":0.0014659684,"about_ca_system_score_gemma":0.00070183986,"threshold_uncertainty_score":0.014754593},"labels":[],"label_agreement":null},{"id":"W3083802613","doi":"","title":"Hamiltonian vector fields on a space of curves on the 3-sphere","year":2018,"lang":"en","type":"dissertation","venue":"Mspace (University of Manitoba)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hamiltonian (control theory); Physics; Mathematical physics; Mathematics; Classical mechanics; Mathematical analysis; Mathematical optimization","score_opus":0.02903509707382045,"score_gpt":0.2515253663726144,"score_spread":0.22249026929879395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3083802613","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8717454,0.0011258345,0.05807018,0.00083156297,0.00013487389,0.000040393115,0.00015452268,0.00010633038,0.067790926],"genre_scores_gemma":[0.9727348,0.0009947383,0.008425095,0.00010582837,0.00021466234,0.00003230678,0.0001607943,0.000057797082,0.017274123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999846,0.000030048168,0.000005858106,0.000027718204,0.000055765882,0.000034653673],"domain_scores_gemma":[0.99987304,0.000023767641,0.00002393487,0.000012054276,0.000025699977,0.000041444582],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023495362,0.00042179375,0.00031918928,0.0010152648,0.00075353484,0.0013365988,0.00046030545,0.0004630152,0.0036779286],"category_scores_gemma":[0.00041861585,0.00015494882,0.00037936645,0.0005466479,0.0017199568,0.001617248,0.0006642273,0.0007075209,0.00030908536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010043293,0.000014735522,0.00022317162,0.000013823021,0.000005750401,0.00008166334,0.00023869635,0.004577036,0.0019177853,0.98903465,0.0002854474,0.0035972418],"study_design_scores_gemma":[0.00002540288,0.000057080764,0.0012287311,0.000024172583,0.0000070383335,0.00016922121,0.00027868082,0.039073247,0.0011636567,0.9527777,0.0051743407,0.000020614181],"about_ca_topic_score_codex":0.0023626394,"about_ca_topic_score_gemma":0.0013755746,"teacher_disagreement_score":0.0036779286,"about_ca_system_score_codex":0.0010504458,"about_ca_system_score_gemma":0.00063196704,"threshold_uncertainty_score":0.012303889},"labels":[],"label_agreement":null},{"id":"W3092253702","doi":"10.20944/preprints202010.0175.v1","title":"A Note on the Local Stability Theory for Caputo Fractional Planar System","year":2020,"lang":"en","type":"preprint","venue":"Preprints.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Focus (optics); Hopf bifurcation; Planar; Mathematics; Stability (learning theory); Bifurcation; Bifurcation theory; Applied mathematics; Equilibrium point; Mathematical analysis; Computer science; Nonlinear system; Physics; Differential equation","score_opus":0.21447976667663118,"score_gpt":0.38205317333266475,"score_spread":0.16757340665603357,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3092253702","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03650681,0.006772718,0.89110315,0.0023977836,0.0006754406,0.0000406266,0.000112735805,0.00029032014,0.06210051],"genre_scores_gemma":[0.9225922,0.0053871395,0.05538969,0.00073834363,0.0011193854,0.00013228547,0.00009735717,0.00019345505,0.01435015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959344,0.00010516306,0.000016647498,0.00010939359,0.00013488533,0.000040465093],"domain_scores_gemma":[0.99943215,0.00028439143,0.00007004094,0.000059510807,0.000121090874,0.00003282884],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009064176,0.0005452533,0.0006155977,0.00135481,0.001005038,0.0010994918,0.00083499873,0.0009193977,0.0042609735],"category_scores_gemma":[0.0017782536,0.00019759212,0.0011103721,0.00058904703,0.0022889029,0.0020280888,0.001441623,0.001961515,0.0005494797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027614038,0.000007559805,0.00019987715,0.00016040404,0.000024459665,0.00034121604,0.000366348,0.025594965,0.006408057,0.95282215,0.002032272,0.012015038],"study_design_scores_gemma":[0.000009325981,0.000103968865,0.0003770528,0.000052528805,0.000034385623,0.00037711105,0.00010341351,0.21626544,0.003961273,0.76217896,0.01649339,0.000043170796],"about_ca_topic_score_codex":0.000942867,"about_ca_topic_score_gemma":0.0003410602,"teacher_disagreement_score":0.0042609735,"about_ca_system_score_codex":0.0008934533,"about_ca_system_score_gemma":0.00033454734,"threshold_uncertainty_score":0.014254451},"labels":[],"label_agreement":null},{"id":"W3098709248","doi":"","title":"PORTRAITS OF PREPERIODIC POINTS FOR RATIONAL MAPS","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conjecture; Combinatorics; Mathematics; Degree (music); Rational function; Algebraically closed field; Periodic point; Field (mathematics); Polynomial; Function (biology); Discrete mathematics; Physics; Pure mathematics; Mathematical analysis","score_opus":0.04218318072307662,"score_gpt":0.31732772034465806,"score_spread":0.2751445396215814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098709248","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4409312,0.0024273985,0.04072502,0.0033006982,0.00034967257,0.00010209081,0.00039400958,0.000570609,0.5111993],"genre_scores_gemma":[0.9453173,0.00087358494,0.009894503,0.00018159412,0.00018945536,0.00008161128,0.0002193606,0.00016232554,0.043080218],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999754,0.000043816523,0.0000080654845,0.000053436368,0.000080517704,0.000060106486],"domain_scores_gemma":[0.99975723,0.00008145713,0.000035060548,0.000036495432,0.000036233156,0.000053492928],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002565041,0.00042597778,0.00030562707,0.0016889224,0.0013235108,0.0021783507,0.00068468694,0.00077122345,0.012058317],"category_scores_gemma":[0.0012496338,0.00032734234,0.00044792495,0.0007217031,0.0017096391,0.0023257812,0.0012371064,0.002027336,0.0017993074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016030626,0.000025874366,0.0007093079,0.00007411345,0.000009313163,0.00061506283,0.0015729775,0.0019848594,0.0069276686,0.97113365,0.0030685647,0.013718262],"study_design_scores_gemma":[0.00011758862,0.00018984293,0.004103078,0.00012812651,0.000029773677,0.0011865275,0.0027215178,0.027459985,0.007664082,0.84846944,0.10787808,0.000051909432],"about_ca_topic_score_codex":0.0008261506,"about_ca_topic_score_gemma":0.0007339138,"teacher_disagreement_score":0.012058317,"about_ca_system_score_codex":0.0015784777,"about_ca_system_score_gemma":0.0002083363,"threshold_uncertainty_score":0.040339112},"labels":[],"label_agreement":null},{"id":"W3105945846","doi":"","title":"Convex Four Body Central Configurations with Some Equal Masses","year":2012,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Rhombus; Quadrilateral; Regular polygon; Symmetry (geometry); Line (geometry); Physics; Geometry; Mathematics; Convex body; Convex polytope; Combinatorics; Convex hull; Convex set","score_opus":0.06198426105879551,"score_gpt":0.3120431713069824,"score_spread":0.2500589102481869,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3105945846","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5425922,0.00033287948,0.38090593,0.0006579402,0.00014966282,0.00013549333,0.00028172982,0.00022394319,0.07472023],"genre_scores_gemma":[0.94924104,0.00012045437,0.042476434,0.000092959366,0.000029389905,0.00011424169,0.00031141122,0.00007974617,0.0075343386],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994892,0.00010931773,0.000017770208,0.00010652622,0.00012224876,0.0001549346],"domain_scores_gemma":[0.99938786,0.00016832957,0.00015055157,0.00006412596,0.00010724769,0.00012191422],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005156698,0.0007377245,0.0007279425,0.0008949877,0.0012585722,0.0012252015,0.0009879547,0.0011997146,0.009771065],"category_scores_gemma":[0.0020902904,0.0004487793,0.00057778764,0.0003559011,0.0024190028,0.0013227289,0.0032679697,0.0012434212,0.0009713627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039093106,0.00009197855,0.0025989325,0.0002075538,0.00006320063,0.0018891061,0.00039215432,0.173282,0.012116152,0.78899986,0.0030067358,0.016961358],"study_design_scores_gemma":[0.00019106572,0.00023960554,0.001697023,0.00007776909,0.000035872672,0.000998483,0.00081168854,0.55983907,0.011116879,0.41758698,0.007309229,0.00009628328],"about_ca_topic_score_codex":0.0010777336,"about_ca_topic_score_gemma":0.0009269548,"teacher_disagreement_score":0.009771065,"about_ca_system_score_codex":0.0007867137,"about_ca_system_score_gemma":0.0005182864,"threshold_uncertainty_score":0.032687545},"labels":[],"label_agreement":null},{"id":"W3106594045","doi":"10.1007/s40598-021-00196-6","title":"The Equivalence Problem in Analytic Dynamics for 1-Resonance","year":2022,"lang":"en","type":"article","venue":"Arnold Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Gravitational singularity; Equivalence (formal languages); Mathematics; Transformation (genetics); Pure mathematics; Moduli; Moduli space; Point (geometry); Complex conjugate; Geometric transformation; Mathematical analysis; Geometry; Computer science; Physics; Image (mathematics)","score_opus":0.04051476362905407,"score_gpt":0.33035253075199345,"score_spread":0.2898377671229394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3106594045","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93206525,0.00018416859,0.03315653,0.0013298341,0.0001012724,0.00003440343,0.000033449385,0.00008740357,0.03300775],"genre_scores_gemma":[0.9963559,0.000048664755,0.0019085867,0.000040901235,0.000027949813,0.000009172605,0.000013415841,0.000013953566,0.0015814314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932885,0.00014766656,0.000040954168,0.00012912112,0.00020317867,0.0001501328],"domain_scores_gemma":[0.9993056,0.00021224913,0.00013981917,0.00009368573,0.00008954401,0.00015896498],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010505684,0.0003246995,0.00047587015,0.0012158771,0.0020987762,0.0024945198,0.0006415656,0.0015024128,0.0042885276],"category_scores_gemma":[0.0037126744,0.00024221506,0.0004152716,0.00041915794,0.0041839085,0.0050976295,0.0024420843,0.001300221,0.00025329157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028593862,0.00002325955,0.00042270214,0.000014544979,0.0000044058233,0.00034408385,0.00077345624,0.0012667564,0.0016148709,0.99301976,0.00024476118,0.0022427544],"study_design_scores_gemma":[0.000017737031,0.000036908954,0.00052565144,0.000016413303,0.000004063267,0.00027693468,0.00075446285,0.012696043,0.00054811366,0.9840024,0.0011076436,0.000013501268],"about_ca_topic_score_codex":0.00064076664,"about_ca_topic_score_gemma":0.0002730328,"teacher_disagreement_score":0.0042885276,"about_ca_system_score_codex":0.0011676212,"about_ca_system_score_gemma":0.00035455768,"threshold_uncertainty_score":0.01434654},"labels":[],"label_agreement":null},{"id":"W3109529888","doi":"10.1016/j.jmaa.2020.124810","title":"Global bifurcation studies of a cubic Liénard system","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China","keywords":"Phase portrait; Mathematics; Heteroclinic bifurcation; Bifurcation; Homoclinic orbit; Bifurcation diagram; Quadratic equation; Cubic function; Limit (mathematics); Pitchfork bifurcation; Limit cycle; Mathematical analysis; Liénard equation; Homoclinic bifurcation; Geometry; Physics; Differential equation; Nonlinear system","score_opus":0.06271755853830431,"score_gpt":0.36167524183935595,"score_spread":0.29895768330105166,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3109529888","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9340862,0.00072867057,0.027145632,0.0006122729,0.0001249807,0.000051433144,0.000065697466,0.000117718824,0.037067436],"genre_scores_gemma":[0.99583983,0.000110572626,0.0014008391,0.000027387185,0.000015821428,0.000009121163,0.0000221726,0.000017233884,0.0025570681],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999386,0.000016854854,0.0000028415157,0.000008421445,0.000014306233,0.000018896768],"domain_scores_gemma":[0.9997812,0.000062715124,0.000041052142,0.000018832754,0.00005384862,0.00004236598],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022264148,0.00028936716,0.00062482775,0.0011595798,0.0008920612,0.0010077236,0.0004914548,0.00063120405,0.003478687],"category_scores_gemma":[0.0007965937,0.0001923386,0.0004589947,0.0004253235,0.0009979007,0.00056576566,0.0008553769,0.00064596627,0.00021696089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040233508,0.00018377884,0.0059736823,0.00021927517,0.00013518371,0.001444143,0.001057999,0.48975953,0.030472055,0.45376828,0.0030408883,0.013542932],"study_design_scores_gemma":[0.000033316108,0.000066012726,0.0016362194,0.0000130441385,0.000020440857,0.00017827329,0.00022793456,0.94274795,0.0011837095,0.05263764,0.0012314137,0.000024062118],"about_ca_topic_score_codex":0.004156297,"about_ca_topic_score_gemma":0.0017533896,"teacher_disagreement_score":0.004156297,"about_ca_system_score_codex":0.0008368005,"about_ca_system_score_gemma":0.0005000696,"threshold_uncertainty_score":0.01163733},"labels":[],"label_agreement":null},{"id":"W3114653250","doi":"10.3934/dcdsb.2020375","title":"Parameter identification on Abelian integrals to achieve Chebyshev property","year":2020,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems - B","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Abelian group; Mathematics; Arithmetic of abelian varieties; Chebyshev filter; Abelian variety of CM-type; Parametric statistics; Applied mathematics; Elementary abelian group; Pure mathematics; Algebra over a field; Mathematical analysis; Rank of an abelian group","score_opus":0.0386010079754381,"score_gpt":0.2972377180869286,"score_spread":0.25863671011149053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3114653250","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36549684,0.00061855844,0.6009463,0.0002914505,0.00007788512,0.00006153221,0.000054373915,0.00022609977,0.03222703],"genre_scores_gemma":[0.966205,0.0002614893,0.031375125,0.000047323883,0.000040907355,0.0000516009,0.000041925676,0.00009112535,0.0018855745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957424,0.00013584965,0.000023417744,0.000077458266,0.000121135236,0.00006780726],"domain_scores_gemma":[0.9989532,0.00051650975,0.00014697235,0.00016230016,0.00012837433,0.00009258536],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009237274,0.0005736333,0.00069495686,0.0011549697,0.00078492396,0.0013503857,0.0006557057,0.00067285285,0.0020269812],"category_scores_gemma":[0.0036406987,0.00023454223,0.00043376605,0.0005690622,0.0025880001,0.0025935238,0.0014328912,0.0016923791,0.00037427418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056473367,0.00002944323,0.00047730454,0.000051218634,0.000012053599,0.00014099701,0.00019633568,0.01765685,0.015235652,0.9569551,0.0003268492,0.008861721],"study_design_scores_gemma":[0.000015163247,0.000057384033,0.0004162898,0.000020202215,0.000011459221,0.00015032833,0.00009198803,0.37395266,0.01011063,0.6130578,0.0020886036,0.000027552049],"about_ca_topic_score_codex":0.0004584114,"about_ca_topic_score_gemma":0.00024812313,"teacher_disagreement_score":0.0020269812,"about_ca_system_score_codex":0.000724223,"about_ca_system_score_gemma":0.0004184429,"threshold_uncertainty_score":0.0067809224},"labels":[],"label_agreement":null},{"id":"W3116348399","doi":"10.1142/s0218127420300505","title":"Analysis of Zero-Hopf Bifurcation in Two Rössler Systems Using Normal Form Theory","year":2020,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hopf bifurcation; Mathematics; Zero (linguistics); Pitchfork bifurcation; Saddle-node bifurcation; Bogdanov–Takens bifurcation; Type (biology); Bifurcation theory; Mathematical analysis; Period-doubling bifurcation; Bifurcation; Applied mathematics; Physics; Nonlinear system","score_opus":0.053927475578122865,"score_gpt":0.3654599623607075,"score_spread":0.3115324867825846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3116348399","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45394972,0.00075521506,0.5335389,0.00025417726,0.000074505915,0.000103148544,0.00005819501,0.00012328629,0.011142862],"genre_scores_gemma":[0.9658392,0.00028853168,0.030371048,0.000025027754,0.00003179139,0.000041052695,0.00004408484,0.00002382303,0.0033354464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99980515,0.000059239195,0.0000136080935,0.00003697208,0.000060954917,0.000024200564],"domain_scores_gemma":[0.9996953,0.000099214434,0.00006433431,0.000022759268,0.00007824862,0.00004012841],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005384235,0.000542947,0.0005862061,0.001224753,0.00043794265,0.00060649816,0.00051885314,0.0006504789,0.0015137388],"category_scores_gemma":[0.0012537404,0.00018761201,0.0007136889,0.00030449135,0.0011080453,0.001139775,0.0006639735,0.00066825637,0.00016816026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008736671,0.000070539354,0.0037082827,0.00017460555,0.00007365958,0.0005606184,0.000652814,0.21107529,0.033674467,0.7246341,0.00061777607,0.024670424],"study_design_scores_gemma":[0.000005777149,0.000042736396,0.0006084828,0.000007625655,0.0000074330615,0.0001099041,0.00005210141,0.86593443,0.001556087,0.1309614,0.00069570384,0.000018397775],"about_ca_topic_score_codex":0.0015955324,"about_ca_topic_score_gemma":0.00070012576,"teacher_disagreement_score":0.0015955324,"about_ca_system_score_codex":0.0005860117,"about_ca_system_score_gemma":0.00047004636,"threshold_uncertainty_score":0.0050640106},"labels":[],"label_agreement":null},{"id":"W3122530800","doi":"10.14232/ejqtde.2021.1.6","title":"Geometry and integrability of quadratic systems with invariant hyperbolas","year":2021,"lang":"en","type":"article","venue":"Electronic journal of qualitative theory of differential equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Hyperbola; Mathematics; Invariant (physics); Integrable system; Conic section; Quadratic equation; Pure mathematics; Bifurcation; Algebraic number; Mathematical analysis; Geometry; Nonlinear system","score_opus":0.06720248782739965,"score_gpt":0.3603771167656781,"score_spread":0.2931746289382784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3122530800","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95396495,0.00026366577,0.023869475,0.0003274768,0.000022542346,0.00002674556,0.00007968074,0.000064500666,0.021380855],"genre_scores_gemma":[0.996305,0.00009645619,0.0017484761,0.000015949512,0.000019866704,0.000008891755,0.000041644445,0.000011215668,0.0017526003],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972516,0.000048092374,0.000012363045,0.000045937268,0.00010581832,0.00006252081],"domain_scores_gemma":[0.99959177,0.00007954374,0.00012377587,0.00003315231,0.00007106264,0.00010069723],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032000986,0.0002840607,0.00034470248,0.0015979969,0.0008616368,0.0017966989,0.00045462002,0.00041811712,0.0032100328],"category_scores_gemma":[0.0010813604,0.00020208782,0.00041165063,0.00042371752,0.0021775994,0.0012730561,0.0008859425,0.0005601384,0.00023631532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051040337,0.000035643217,0.002671187,0.00004537799,0.000017765296,0.00038564377,0.0005643565,0.015506187,0.008307716,0.96740043,0.00037214046,0.004642414],"study_design_scores_gemma":[0.00006337623,0.000104905004,0.005851578,0.000024309646,0.000017909462,0.0008638394,0.0006342457,0.15498391,0.0039268797,0.8300119,0.003470589,0.000046597106],"about_ca_topic_score_codex":0.0018705968,"about_ca_topic_score_gemma":0.00054104975,"teacher_disagreement_score":0.0032100328,"about_ca_system_score_codex":0.0014446339,"about_ca_system_score_gemma":0.00034619914,"threshold_uncertainty_score":0.010738671},"labels":[],"label_agreement":null},{"id":"W3144589483","doi":"","title":"Small-amplitude limit cycles of polynomial Linard systems","year":2013,"lang":"zh","type":"article","venue":"中国科学:数学(英文版)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Limit (mathematics); Hopf bifurcation; Bifurcation; Polynomial; Limit cycle; Mathematical analysis; Infinite-period bifurcation; Amplitude; Combinatorics; Physics; Quantum mechanics; Nonlinear system","score_opus":0.05919184351238278,"score_gpt":0.2847392528962207,"score_spread":0.22554740938383794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3144589483","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8510347,0.0013452242,0.13080585,0.00032424126,0.00006899977,0.000042705535,0.000050244667,0.000113578186,0.016214592],"genre_scores_gemma":[0.9907058,0.00023731455,0.0069318004,0.000020272522,0.000025590502,0.000034513116,0.000026933187,0.0000137032275,0.0020040057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976367,0.000047053752,0.000013477423,0.000058726055,0.00007659665,0.000040405423],"domain_scores_gemma":[0.9989448,0.0005275497,0.00019537227,0.000069453905,0.00013276772,0.0001299737],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039060795,0.00030288793,0.0005401935,0.0011085474,0.0011162349,0.00086456246,0.00054901064,0.00070848275,0.0023337444],"category_scores_gemma":[0.0028430002,0.00018752884,0.00033388907,0.00040833672,0.0009990446,0.0016918145,0.0008352845,0.0006405144,0.00018483037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032589023,0.000111495014,0.010889364,0.00038261825,0.00008755834,0.0012443209,0.0014311635,0.0784423,0.06683654,0.79878354,0.0012279262,0.040237278],"study_design_scores_gemma":[0.000037742164,0.0001466306,0.0038264983,0.000044117067,0.000051875137,0.0008154364,0.00032642848,0.64015734,0.018108001,0.3323143,0.0041046594,0.00006696415],"about_ca_topic_score_codex":0.0004683629,"about_ca_topic_score_gemma":0.00040808006,"teacher_disagreement_score":0.0023337444,"about_ca_system_score_codex":0.0006288139,"about_ca_system_score_gemma":0.00030024513,"threshold_uncertainty_score":0.0078071356},"labels":[],"label_agreement":null},{"id":"W3147214075","doi":"","title":"On mutually independent hamiltonian cycles.","year":2018,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Hamiltonian (control theory); Pure mathematics; Mathematical physics; Mathematical optimization","score_opus":0.025043720322080378,"score_gpt":0.3022289866036339,"score_spread":0.27718526628155354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3147214075","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3839903,0.00361139,0.19034618,0.0027380914,0.00078539265,0.00016116262,0.0008606245,0.00025792155,0.41724885],"genre_scores_gemma":[0.9346065,0.0010397237,0.016725013,0.00051714986,0.00034672022,0.000137847,0.00037701274,0.00010632474,0.046143826],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943537,0.00015514092,0.000029142027,0.00009699744,0.00014995346,0.00013329342],"domain_scores_gemma":[0.99896514,0.0003849618,0.00017216375,0.000120628094,0.00016401353,0.00019307187],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042642897,0.0005054583,0.00048684067,0.0015593161,0.0013547912,0.0014652768,0.0007489995,0.00085315015,0.011735428],"category_scores_gemma":[0.0023998842,0.00034468935,0.00051913585,0.00079981674,0.0016971665,0.0029642659,0.0025211507,0.0012864163,0.0011524392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008224015,0.0000063474977,0.00009523068,0.000019396244,0.0000060826997,0.000060991522,0.00007191961,0.000416187,0.00028421113,0.99499184,0.0010056101,0.003033973],"study_design_scores_gemma":[0.0000066954567,0.0000046381742,0.0001285871,0.000012199014,0.000004232496,0.000082513354,0.00004819281,0.003150601,0.00014253616,0.99328244,0.0031322478,0.0000051434004],"about_ca_topic_score_codex":0.0008057242,"about_ca_topic_score_gemma":0.0014959031,"teacher_disagreement_score":0.011735428,"about_ca_system_score_codex":0.0008826711,"about_ca_system_score_gemma":0.0005231635,"threshold_uncertainty_score":0.039258957},"labels":[],"label_agreement":null},{"id":"W3152285839","doi":"10.1186/s13661-021-01495-9","title":"First order differential systems with a nonlinear boundary condition via the method of solution-regions","year":2021,"lang":"en","type":"article","venue":"Boundary Value Problems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Agencia Estatal de Investigación; Université de Montréal; Ministerio de Economía y Competitividad; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Boundary value problem; Ordinary differential equation; Nonlinear system; Partial differential equation; Mathematical analysis; Cauchy boundary condition; Mixed boundary condition; Robin boundary condition; Boundary (topology); Applied mathematics; Differential equation; Physics","score_opus":0.032752200190625885,"score_gpt":0.3051925980626869,"score_spread":0.272440397872061,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3152285839","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0091635985,0.0007328204,0.9813768,0.00025856963,0.00008376094,0.000042517466,0.000026811951,0.000083570485,0.008231546],"genre_scores_gemma":[0.50686526,0.0017059788,0.4701336,0.00023482087,0.0002801722,0.0004215022,0.000119109514,0.0002512124,0.019988371],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941003,0.00035583525,0.0000215983,0.000048537444,0.0001229097,0.000041091025],"domain_scores_gemma":[0.9994665,0.000303362,0.00006903427,0.000042516745,0.000083928884,0.000034776695],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012652713,0.0009847344,0.0009112565,0.00069765106,0.0005896012,0.00091320823,0.0010435187,0.0009922916,0.0023879658],"category_scores_gemma":[0.0020418318,0.00035066582,0.0009399349,0.0003033315,0.0014111055,0.0017396822,0.00221799,0.0016036785,0.00067632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004034617,0.000022457076,0.00017632588,0.00016475868,0.000034919067,0.0001457853,0.00027356754,0.076384254,0.0076779253,0.8998978,0.0010132213,0.014168702],"study_design_scores_gemma":[0.000044771605,0.00008640873,0.000108277716,0.000068917456,0.000021792152,0.00015611334,0.00007598654,0.6883983,0.003765101,0.2947558,0.012489127,0.00002939903],"about_ca_topic_score_codex":0.000745231,"about_ca_topic_score_gemma":0.00039139483,"teacher_disagreement_score":0.0023879658,"about_ca_system_score_codex":0.0005699524,"about_ca_system_score_gemma":0.00071209203,"threshold_uncertainty_score":0.007988572},"labels":[],"label_agreement":null},{"id":"W3157176687","doi":"10.48550/arxiv.2104.05505","title":"Differential algebraic generating series of weighted walks in the quarter plane","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Series (stratigraphy); Algebraic number; Differential (mechanical device); Quarter (Canadian coin); Plane (geometry); Variable (mathematics); Differential equation; Algebraic differential equation; Pure mathematics; Mathematical analysis; Differential algebraic equation; Ordinary differential equation; Geometry; Physics","score_opus":0.06692500393466533,"score_gpt":0.2103585808477716,"score_spread":0.14343357691310626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3157176687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8978233,0.00028380673,0.084219165,0.00026443708,0.00007069469,0.000026140278,0.00008145574,0.00008912092,0.01714185],"genre_scores_gemma":[0.9863485,0.00032429508,0.0065187183,0.00005039148,0.00007696794,0.0000336488,0.000101602825,0.000037085832,0.0065087667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997862,0.00005037726,0.0000107813685,0.000032832013,0.0000695575,0.000050238225],"domain_scores_gemma":[0.9993374,0.00019897784,0.00018038541,0.000050061706,0.00011257054,0.000120640136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052693195,0.00037621442,0.00042201878,0.0018587124,0.00044610567,0.0013894566,0.00061918056,0.000428728,0.0030718793],"category_scores_gemma":[0.0017742806,0.0001887737,0.00039554219,0.0011283348,0.0010409867,0.0017956755,0.0005802822,0.0005213969,0.00031352436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023626071,0.000031055413,0.0006411881,0.000020537143,0.000008451011,0.00018176509,0.00012076118,0.0071167713,0.0037408017,0.983566,0.0003256835,0.0042234394],"study_design_scores_gemma":[0.000020938149,0.000048561444,0.0013294363,0.00001316319,0.00001065517,0.0004133821,0.00017090922,0.15454635,0.0022385684,0.839318,0.0018622376,0.000027844608],"about_ca_topic_score_codex":0.0005320249,"about_ca_topic_score_gemma":0.00039867227,"teacher_disagreement_score":0.0030718793,"about_ca_system_score_codex":0.0005873255,"about_ca_system_score_gemma":0.00029578983,"threshold_uncertainty_score":0.010276437},"labels":[],"label_agreement":null},{"id":"W3162840096","doi":"10.1016/j.jde.2021.04.032","title":"On the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:mover accent=\"true\"> <mml:mrow> <mml:mi>m</mml:mi> </mml:mrow> <mml:mrow> <mml:mo stretchy=\"false\">ˆ</mml:mo> </mml:mrow> </mml:mover> </mml:math>","year":2021,"lang":"lv","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"China Scholarship Council; Western University; Natural Science Foundation of Hebei Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Homoclinic orbit; Mathematics; Nilpotent; Saddle; Loop (graph theory); Limit (mathematics); Order (exchange); Quotient; Hamiltonian (control theory); Combinatorics; Mathematical analysis; Mathematical physics; Bifurcation; Physics; Quantum mechanics","score_opus":0.030688276325302362,"score_gpt":0.2641730029308158,"score_spread":0.23348472660551345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3162840096","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79415953,0.0012057013,0.10105573,0.0020052453,0.00031812015,0.00007989139,0.00014539699,0.0003073764,0.10072306],"genre_scores_gemma":[0.98200166,0.00036344852,0.005941271,0.00011501055,0.00011779051,0.000055057033,0.00009166922,0.00010100641,0.011213018],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998796,0.000035924226,0.0000052159808,0.00001985497,0.000030295863,0.000029121189],"domain_scores_gemma":[0.9995253,0.00011724814,0.00009083758,0.000027049417,0.00007470365,0.00016487541],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046090852,0.00075034646,0.00054754765,0.002143696,0.001564794,0.0018338906,0.0010019295,0.0008793125,0.0047046714],"category_scores_gemma":[0.0019651852,0.0003059536,0.00050854706,0.00053598866,0.0021289517,0.0017504335,0.001453914,0.0009384991,0.0006667515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000080720914,0.00003886841,0.00050281076,0.000057965924,0.000017918483,0.00036762407,0.0002815441,0.015821023,0.0023472172,0.97374535,0.0017935835,0.004945374],"study_design_scores_gemma":[0.00003088502,0.000050135455,0.0006063912,0.0000356524,0.000008842162,0.00019462925,0.00023100787,0.15707748,0.0007252266,0.8390827,0.0019267992,0.000030237983],"about_ca_topic_score_codex":0.001997397,"about_ca_topic_score_gemma":0.001331019,"teacher_disagreement_score":0.0047046714,"about_ca_system_score_codex":0.0013398577,"about_ca_system_score_gemma":0.0007395113,"threshold_uncertainty_score":0.015738726},"labels":[],"label_agreement":null},{"id":"W3171813169","doi":"10.1090/mcom/3677","title":"Corrigendum to “On two classes of simultaneous Pell equations with no solutions”","year":2021,"lang":"en","type":"erratum","venue":"Mathematics of Computation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematical proof; Correctness; Statement (logic); Mathematics; Calculus (dental); Applied mathematics; Algebra over a field; Algorithm; Pure mathematics; Law; Geometry","score_opus":0.06288343629073265,"score_gpt":0.33086064268729837,"score_spread":0.26797720639656575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3171813169","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000982284,0.0048890207,0.013540239,0.11221197,0.82758355,0.00007323261,0.00082459557,0.0006581394,0.039236933],"genre_scores_gemma":[0.057771105,0.015541475,0.023254758,0.1640854,0.29283452,0.00048824053,0.0026715172,0.0024436335,0.4409093],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99712914,0.000701526,0.00027841088,0.00053001806,0.0011187162,0.0002423214],"domain_scores_gemma":[0.99350727,0.0020317442,0.00029640793,0.00063712616,0.0032303755,0.0002970956],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021825233,0.0015637275,0.0012513824,0.0020307803,0.0025210597,0.002055657,0.0032682228,0.0030632303,0.048115134],"category_scores_gemma":[0.020373184,0.000589083,0.0016747031,0.0015047932,0.0024184117,0.003202372,0.001979728,0.005167873,0.018233895],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003306405,0.000012311485,0.00008381156,0.00016474815,0.000018928165,0.00024677604,0.000060992643,0.00015858778,0.00014749054,0.01728537,0.9732378,0.0085502025],"study_design_scores_gemma":[0.000036004603,0.000032700602,0.0008630683,0.00018146473,0.00007651875,0.0005010519,0.0000759474,0.0017784087,0.00081272493,0.040316373,0.95526314,0.000062611776],"about_ca_topic_score_codex":0.009603336,"about_ca_topic_score_gemma":0.011021635,"teacher_disagreement_score":0.048115134,"about_ca_system_score_codex":0.003455792,"about_ca_system_score_gemma":0.0017996468,"threshold_uncertainty_score":0.16096115},"labels":[],"label_agreement":null},{"id":"W3174964066","doi":"10.1007/978-3-030-50570-7","title":"Geometric Configurations of Singularities of Planar Polynomial Differential Systems","year":2021,"lang":"en","type":"book","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"H2020 European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Gravitational singularity; Planar; Differential (mechanical device); Mathematics; Polynomial; Computer science; Pure mathematics; Mathematical analysis; Computer graphics (images); Physics","score_opus":0.042211549549966434,"score_gpt":0.2853405323794897,"score_spread":0.24312898282952328,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3174964066","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.060240537,0.0037992557,0.07671938,0.0019040726,0.0009917143,0.00005894405,0.000466678,0.0003522049,0.8554672],"genre_scores_gemma":[0.67977566,0.005784744,0.038085006,0.00057427655,0.0010175238,0.0000760391,0.000966649,0.0004700975,0.27325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997632,0.000037221675,0.000008476398,0.000043014854,0.000115931965,0.00003221025],"domain_scores_gemma":[0.9998578,0.000034192126,0.000022018505,0.00002323137,0.000036465357,0.000026235695],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016424198,0.00066335173,0.00050341716,0.001505755,0.0010700154,0.0029545845,0.00082493445,0.0006367842,0.014312731],"category_scores_gemma":[0.00093432947,0.00042378352,0.0003974881,0.0010991833,0.0022098843,0.0025188732,0.0014281124,0.0020900916,0.0022994692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000067622454,0.000003899099,0.000034165736,0.000021967402,0.0000019818533,0.00005372637,0.000099153884,0.0008550742,0.00039220534,0.9857594,0.0046582003,0.008113585],"study_design_scores_gemma":[0.0000061700366,0.000011582198,0.00016049121,0.00002241312,0.0000030689066,0.00030715013,0.00017135094,0.0020217868,0.00033592072,0.9529608,0.043988865,0.000010372596],"about_ca_topic_score_codex":0.0007029139,"about_ca_topic_score_gemma":0.00058657245,"teacher_disagreement_score":0.014312731,"about_ca_system_score_codex":0.0011501,"about_ca_system_score_gemma":0.00036479867,"threshold_uncertainty_score":0.047880888},"labels":[],"label_agreement":null},{"id":"W3175722143","doi":"10.1142/s0218127421501194","title":"Sliding Dynamics and Bifurcations in the Extended Nonsmooth Filippov Ecosystem","year":2021,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; York University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Equilibrium point; Piecewise; Tangent; Limit cycle; Boundary (topology); Control theory (sociology); Limit (mathematics); Lyapunov function; Nonlinear system; Applied mathematics; Mathematical analysis; Computer science; Control (management); Physics; Geometry; Differential equation","score_opus":0.026605796720754957,"score_gpt":0.32623861389956654,"score_spread":0.2996328171788116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3175722143","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89302576,0.00027033832,0.09853539,0.00033201542,0.000021177704,0.000025628493,0.0000561493,0.000059537255,0.0076740882],"genre_scores_gemma":[0.99590355,0.00008728634,0.0026356557,0.000016562399,0.0000057798725,0.000014135127,0.000011373112,0.0000039594565,0.0013217006],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9999063,0.000022788661,0.0000056506847,0.000019411202,0.000017765726,0.000028069535],"domain_scores_gemma":[0.99987817,0.000023901417,0.00004111019,0.000009412169,0.000013778124,0.000033591772],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001658981,0.0002741291,0.00040490585,0.0004507904,0.00047499393,0.00082531216,0.0006002706,0.00079410966,0.0011986975],"category_scores_gemma":[0.00039334508,0.00015719641,0.00053692854,0.00021002603,0.0007376,0.00087443605,0.0008523863,0.00037548333,0.0000928778],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016464845,0.000095953066,0.0130234435,0.00018194702,0.0001542894,0.0019387574,0.00053019664,0.6648328,0.051554754,0.25336936,0.00078108645,0.013372745],"study_design_scores_gemma":[0.000017038394,0.000085871034,0.0029744266,0.000009488967,0.000022496668,0.0002479702,0.00014388883,0.9664166,0.0007548214,0.028505256,0.00080055796,0.000021582799],"about_ca_topic_score_codex":0.0024212317,"about_ca_topic_score_gemma":0.0014194464,"teacher_disagreement_score":0.0024212317,"about_ca_system_score_codex":0.0005573034,"about_ca_system_score_gemma":0.00035481516,"threshold_uncertainty_score":0.0048143268},"labels":[],"label_agreement":null},{"id":"W3176648254","doi":"10.1007/978-3-030-50570-7_8","title":"Quadratic systems with definite singularities of total multiplicity at most one","year":2021,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"H2020 European Research Council; Agència de Gestió d'Ajuts Universitaris i de Recerca; Natural Sciences and Engineering Research Council of Canada; Academia de Ştiinţe a Moldovei","keywords":"Multiplicity (mathematics); Gravitational singularity; Quadratic equation; Mathematics; Positive-definite matrix; Applied mathematics; Definite quadratic form; Pure mathematics; Quadratic function; Mathematical analysis; Binary quadratic form; Geometry; Physics","score_opus":0.054605085930319916,"score_gpt":0.25702713404798094,"score_spread":0.202422048117661,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3176648254","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04225698,0.0033129472,0.15707098,0.0023339293,0.0016205525,0.00008808778,0.00038010924,0.00045122733,0.7924852],"genre_scores_gemma":[0.3471667,0.00356764,0.031145396,0.00090618886,0.0013906702,0.00009362003,0.00044623492,0.0004715417,0.614812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968326,0.00006268428,0.000012693336,0.00005320387,0.00015335967,0.000034752604],"domain_scores_gemma":[0.99971265,0.0000886548,0.000030201329,0.000057120906,0.00008094373,0.00003051493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042615505,0.00086427294,0.00051762955,0.00093035237,0.00083536445,0.0022220574,0.00081799127,0.0007171363,0.012987686],"category_scores_gemma":[0.0011744536,0.00042728,0.00030900136,0.0010190348,0.0019012839,0.0037262426,0.0011647636,0.0021358277,0.0031398556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009582603,0.000014295993,0.000035139863,0.000078542085,0.0000032255855,0.000040781968,0.00016525206,0.00065992394,0.0012557156,0.97691125,0.01002313,0.010803071],"study_design_scores_gemma":[0.000007346399,0.000026021236,0.00014902372,0.000024188093,0.0000040153336,0.00022664838,0.000060355207,0.0033357167,0.00077112013,0.94267815,0.05270531,0.000012094456],"about_ca_topic_score_codex":0.00030640897,"about_ca_topic_score_gemma":0.00032915897,"teacher_disagreement_score":0.012987686,"about_ca_system_score_codex":0.00057479605,"about_ca_system_score_gemma":0.00031612633,"threshold_uncertainty_score":0.04344809},"labels":[],"label_agreement":null},{"id":"W3193914902","doi":"10.1016/j.jde.2021.08.015","title":"Complex integrability and linearizability of cubic Z2-equivariant systems with two 1:q resonant singular points","year":2021,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Science Foundation of Shandong Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Linearizability; Equivariant map; Mathematics; Pure mathematics; Integer (computer science); Mathematical analysis; Algorithm; Computer science","score_opus":0.06127459473374467,"score_gpt":0.3309835292350124,"score_spread":0.2697089345012677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3193914902","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8725419,0.00019543812,0.0630753,0.0011381473,0.0002599476,0.00008770401,0.00016863267,0.00044276414,0.06209024],"genre_scores_gemma":[0.98804563,0.00007216943,0.0032502103,0.00012752769,0.00012603328,0.000029311233,0.00009531127,0.0000854091,0.008168445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994536,0.0000727396,0.000023027997,0.00010066997,0.00017827908,0.00017178385],"domain_scores_gemma":[0.9991003,0.00018841309,0.00018999519,0.00011339008,0.00016900648,0.0002388999],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005606651,0.0008809201,0.0009680884,0.0018722526,0.0015020781,0.0030806328,0.0012864266,0.0014067782,0.008261407],"category_scores_gemma":[0.0022310968,0.00045896278,0.00077038386,0.00065993087,0.0037143058,0.0022849068,0.0023920916,0.0018871893,0.0006154786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011282369,0.00007152024,0.0005743936,0.000041687555,0.000024524456,0.00029811868,0.0004455073,0.006996619,0.005695488,0.98062116,0.0010647884,0.0040533314],"study_design_scores_gemma":[0.00008794378,0.00007478897,0.0012539861,0.000015286289,0.000017428029,0.00021817378,0.00030342615,0.07398168,0.0016943713,0.9208612,0.001427595,0.000064246626],"about_ca_topic_score_codex":0.0028103697,"about_ca_topic_score_gemma":0.0019569844,"teacher_disagreement_score":0.008261407,"about_ca_system_score_codex":0.0015919177,"about_ca_system_score_gemma":0.00083700183,"threshold_uncertainty_score":0.027637184},"labels":[],"label_agreement":null},{"id":"W3197389138","doi":"10.13189/ms.2021.090418","title":"Derivation of Some Entries in the Tables of David Bierens De Haan and Anatolii Prudnikov: An Exercise in Integration Theory","year":2021,"lang":"en","type":"article","venue":"Mathematics and Statistics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Mathematical economics; Humanities; Combinatorics; Applied mathematics; Philosophy","score_opus":0.026606240585119765,"score_gpt":0.30878147413036977,"score_spread":0.28217523354525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3197389138","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01732897,0.012039941,0.7260623,0.0120969,0.026447862,0.0002467765,0.016562045,0.010425505,0.17878972],"genre_scores_gemma":[0.14074637,0.011445133,0.6558091,0.0038498754,0.0046074693,0.0003776946,0.016055642,0.010455231,0.15665358],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851793,0.00027019513,0.00020187491,0.0001593665,0.00077492604,0.00007573608],"domain_scores_gemma":[0.99563867,0.0013881839,0.0003284963,0.00070390606,0.0018227828,0.0001178601],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018417554,0.00078270416,0.00071356277,0.004080573,0.0014871258,0.0041568675,0.0010814298,0.00081692723,0.0373491],"category_scores_gemma":[0.014951369,0.00057501165,0.00069785345,0.00422419,0.0006917488,0.004662732,0.0012030464,0.0022190348,0.019131122],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008085587,0.00004371449,0.00095867243,0.0003934785,0.000022281318,0.00037758486,0.00043523748,0.0013645274,0.0024865738,0.57534015,0.24238192,0.17611514],"study_design_scores_gemma":[0.000016862217,0.00002832178,0.0006365377,0.00027686043,0.000018089157,0.000539091,0.00014076871,0.0046409727,0.00456752,0.1909019,0.7981601,0.00007304251],"about_ca_topic_score_codex":0.00126382,"about_ca_topic_score_gemma":0.0011693159,"teacher_disagreement_score":0.0373491,"about_ca_system_score_codex":0.0014525973,"about_ca_system_score_gemma":0.0019965465,"threshold_uncertainty_score":0.12494522},"labels":[],"label_agreement":null},{"id":"W3202676996","doi":"10.1017/etds.2021.98","title":"Analytic classification of germs of parabolic antiholomorphic diffeomorphisms of codimension <i>k</i>","year":2021,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Holomorphic function; Mathematics; Codimension; Conjugacy class; Invariant (physics); Mathematical analysis; Fixed point; Pure mathematics; Mathematical physics","score_opus":0.028577500929844273,"score_gpt":0.2949440974654333,"score_spread":0.26636659653558903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3202676996","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98767906,0.00012391164,0.007977808,0.00014531915,0.000021356325,0.00001634256,0.000045954508,0.000022331284,0.003967956],"genre_scores_gemma":[0.99533045,0.00013396174,0.001980913,0.000014469344,0.000020065774,0.000014602423,0.000076742734,0.00001241615,0.00241633],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998982,0.000011195758,0.000011470376,0.000024308089,0.00003067408,0.000024239034],"domain_scores_gemma":[0.9997067,0.000029418321,0.000098709796,0.00002603149,0.00005827873,0.00008089217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002835117,0.00033295358,0.00029667807,0.0015928434,0.0008613799,0.0015099252,0.00040621142,0.0004132509,0.0024028176],"category_scores_gemma":[0.0007046051,0.00018527944,0.00024920283,0.00049091707,0.0015625316,0.0015354793,0.0008587059,0.00048618612,0.00022642552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025064216,0.00014269397,0.037684664,0.00017338473,0.000046857316,0.0014808944,0.0024964903,0.009853817,0.081646144,0.8329659,0.001700349,0.031558145],"study_design_scores_gemma":[0.0001290744,0.0005338986,0.06338646,0.00017555172,0.000057943387,0.004084854,0.0050244397,0.122643,0.040387128,0.74510795,0.01835446,0.00011528377],"about_ca_topic_score_codex":0.00043310435,"about_ca_topic_score_gemma":0.0002575753,"teacher_disagreement_score":0.0024028176,"about_ca_system_score_codex":0.0008057097,"about_ca_system_score_gemma":0.00020921895,"threshold_uncertainty_score":0.008038223},"labels":[],"label_agreement":null},{"id":"W3204245616","doi":"10.1016/j.jde.2021.09.030","title":"Center condition and bifurcation of limit cycles for quadratic switching systems with a nilpotent equilibrium point","year":2021,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Guangzhou Science and Technology Program key projects; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Nilpotent; Equilibrium point; Center manifold; Bifurcation; Limit cycle; Infinite-period bifurcation; Limit (mathematics); Limit point; Quadratic equation; Pure mathematics; Mathematical analysis; Perturbation (astronomy); Hamiltonian system; Hopf bifurcation; Control theory (sociology); Geometry; Differential equation; Nonlinear system; Physics","score_opus":0.03810305056363793,"score_gpt":0.31202158721566164,"score_spread":0.2739185366520237,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3204245616","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8174634,0.0004663412,0.14126119,0.00072896644,0.0001169529,0.0001443768,0.0002757062,0.00020023447,0.03934285],"genre_scores_gemma":[0.9933143,0.00011281451,0.003287156,0.00003773555,0.00002737881,0.000042755,0.00008813033,0.0000311241,0.0030585697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997979,0.00003367452,0.000013297457,0.000042034146,0.000055698092,0.000057459285],"domain_scores_gemma":[0.9989182,0.0003708232,0.0001662998,0.000048813734,0.00033186722,0.00016394342],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055861037,0.00039887207,0.0008262694,0.0018127856,0.001418493,0.0024525917,0.0007256621,0.0009806962,0.0072837244],"category_scores_gemma":[0.0024719576,0.0002693153,0.0005492993,0.000497616,0.0012164586,0.0014922319,0.0011852261,0.00081581983,0.000482679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004519462,0.00018706967,0.0026329353,0.00016058199,0.00006438357,0.00046926495,0.00074105104,0.026823254,0.025932739,0.9254363,0.0021780785,0.014922322],"study_design_scores_gemma":[0.000111219095,0.00015507636,0.0021413357,0.000041980908,0.00004608947,0.0002692166,0.0005714966,0.45333013,0.0075382753,0.5340796,0.0016377625,0.00007785438],"about_ca_topic_score_codex":0.002833959,"about_ca_topic_score_gemma":0.0020244853,"teacher_disagreement_score":0.0072837244,"about_ca_system_score_codex":0.0015584937,"about_ca_system_score_gemma":0.0012986239,"threshold_uncertainty_score":0.024366438},"labels":[],"label_agreement":null},{"id":"W3204575658","doi":"10.2139/ssrn.3934367","title":"Detecting Edgeworth Cycles","year":2021,"lang":"en","type":"article","venue":"SSRN Electronic Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Computer science; Econometrics; Economics","score_opus":0.022041596302047873,"score_gpt":0.30098515603193554,"score_spread":0.27894355972988766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3204575658","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.637643,0.0007851126,0.33074328,0.0003617219,0.00020053008,0.00014930937,0.00048505494,0.00090010517,0.028731918],"genre_scores_gemma":[0.91211516,0.00036146923,0.07367875,0.0001451221,0.00009949366,0.00005622127,0.0008628511,0.00014874659,0.01253219],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963117,0.000059111517,0.000023784789,0.00012079777,0.00010000534,0.00006513475],"domain_scores_gemma":[0.9986957,0.0004595739,0.00017881981,0.00022491832,0.00030990897,0.00013115742],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034441127,0.00049407454,0.0005485982,0.002724709,0.0006420717,0.0012967674,0.0007229377,0.0015036195,0.0054963906],"category_scores_gemma":[0.003445138,0.00042994888,0.0003846049,0.0011831078,0.00059132837,0.0020720481,0.0014618371,0.00069700344,0.0011435803],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0020241728,0.00025540427,0.034457266,0.00044055388,0.00018039922,0.0023067044,0.0009338113,0.029834667,0.108201206,0.17906964,0.015858212,0.626438],"study_design_scores_gemma":[0.0000921854,0.00056300615,0.019556886,0.00011441344,0.00013883546,0.0027608795,0.00087923795,0.45979023,0.061962638,0.42269978,0.031332474,0.00010943623],"about_ca_topic_score_codex":0.00064589485,"about_ca_topic_score_gemma":0.00083266996,"teacher_disagreement_score":0.0054963906,"about_ca_system_score_codex":0.00025929467,"about_ca_system_score_gemma":0.00022282178,"threshold_uncertainty_score":0.018387258},"labels":[],"label_agreement":null},{"id":"W3206386540","doi":"10.4153/s0008439521000874","title":"A dynamical characterization for monogenity at every level of some infinite -towers","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Characterization (materials science); Conjecture; Algebraic number; Combinatorics; Polynomial; Ring (chemistry); Square (algebra); Polynomial ring; Degree (music); Discrete mathematics; Constant (computer programming); Term (time); Algebraic properties; Mathematical analysis; Geometry","score_opus":0.09324140374178595,"score_gpt":0.2971978973692498,"score_spread":0.20395649362746382,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3206386540","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86157686,0.00034357875,0.07382642,0.0008141735,0.0001133084,0.00005192532,0.00024321163,0.00026686213,0.06276375],"genre_scores_gemma":[0.98519486,0.00006212787,0.008168003,0.000069426256,0.00003900794,0.000029113746,0.000091310205,0.00002105184,0.006325178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966574,0.000056068457,0.000018792905,0.000088989626,0.000080288155,0.00009007142],"domain_scores_gemma":[0.9991934,0.00022047303,0.00009915526,0.00014118214,0.00015096377,0.00019497077],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004947164,0.0002278097,0.00030813707,0.0009666589,0.0015570935,0.0014626593,0.00052743015,0.00053683994,0.005820178],"category_scores_gemma":[0.0014479154,0.00024012601,0.0003817822,0.00031313545,0.002264164,0.0025357334,0.0014443465,0.00089762674,0.0003715067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029872434,0.0000137198385,0.001126974,0.000024302242,0.000004013568,0.000244634,0.00059608906,0.0009301554,0.0040105972,0.9906437,0.00036274124,0.0020132354],"study_design_scores_gemma":[0.00004890542,0.00011409226,0.0035692176,0.000059184873,0.000022202647,0.00083043444,0.00077471504,0.027602863,0.007560867,0.9413822,0.017987393,0.00004795694],"about_ca_topic_score_codex":0.0010285405,"about_ca_topic_score_gemma":0.0010823477,"teacher_disagreement_score":0.005820178,"about_ca_system_score_codex":0.0012823811,"about_ca_system_score_gemma":0.00035684544,"threshold_uncertainty_score":0.019470453},"labels":[],"label_agreement":null},{"id":"W3209163309","doi":"10.14232/ejqtde.2021.1.78","title":"A converse of Sturm's separation theorem","year":2021,"lang":"en","type":"article","venue":"Electronic journal of qualitative theory of differential equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Converse; Ordinary differential equation; Order (exchange); Interlacing; Sturm–Liouville theory; Separation (statistics); Mathematical analysis; Differential equation; Pure mathematics; Statistics; Boundary value problem; Geometry","score_opus":0.09215939449618729,"score_gpt":0.4274925746486739,"score_spread":0.3353331801524866,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3209163309","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09852767,0.0016664454,0.67504376,0.013662467,0.002358807,0.0000883986,0.000646237,0.0008793131,0.20712698],"genre_scores_gemma":[0.8680012,0.0013289081,0.07749856,0.006555572,0.001560405,0.00025083267,0.00078145956,0.00027911403,0.04374397],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872726,0.00018925815,0.00007554361,0.00036374174,0.00044037632,0.0002036993],"domain_scores_gemma":[0.9967805,0.0011935087,0.0003091012,0.00042164556,0.0010879039,0.00020739806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002319005,0.0005722779,0.00080247724,0.0011042714,0.0014474315,0.0015353361,0.0012941671,0.0015244989,0.012314344],"category_scores_gemma":[0.0052033197,0.00033685967,0.0014820576,0.000652592,0.0026774856,0.0047819098,0.003456106,0.0025827033,0.0020666244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043359083,0.000015873356,0.00029155574,0.00012009139,0.000026593874,0.00030895058,0.00022233889,0.0011011597,0.002526393,0.9786445,0.006128722,0.010570522],"study_design_scores_gemma":[0.000039049584,0.000063561085,0.0005630795,0.000030374631,0.000019922049,0.001233168,0.000120460725,0.0151091395,0.0030629523,0.96347004,0.0162612,0.000027016991],"about_ca_topic_score_codex":0.00076327485,"about_ca_topic_score_gemma":0.00033180267,"teacher_disagreement_score":0.012314344,"about_ca_system_score_codex":0.0006159378,"about_ca_system_score_gemma":0.00071252236,"threshold_uncertainty_score":0.04119563},"labels":[],"label_agreement":null},{"id":"W338584234","doi":"10.4153/cmb-2011-051-4","title":"Involutions Fixing <i>F<sup>n</sup></i> ∪ ﹛Indecomposable﹜","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Indecomposable module","score_opus":0.0599907133492763,"score_gpt":0.2601012543606553,"score_spread":0.20011054101137898,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W338584234","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87255067,0.00041051587,0.040557753,0.00028009678,0.0002166258,0.000030125708,0.00010750112,0.00024269041,0.085604],"genre_scores_gemma":[0.9831365,0.00014287356,0.008144585,0.000047998798,0.000051184878,0.000022526146,0.000093456474,0.000049060403,0.0083118975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997744,0.000025860289,0.000011382266,0.000042657313,0.00007375403,0.00007189986],"domain_scores_gemma":[0.9997899,0.00002740571,0.000051435516,0.000048754584,0.000026255915,0.00005620986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023326838,0.00045871412,0.00021287517,0.0008744036,0.0011178353,0.0012024782,0.00058446993,0.00038916676,0.0024317754],"category_scores_gemma":[0.00053079304,0.00017918013,0.00046240937,0.0002910269,0.0015756104,0.0007421492,0.0010384999,0.00076832913,0.00044970817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018346582,0.0001002669,0.0031578243,0.00008088652,0.000028911394,0.0014145395,0.000752194,0.007913088,0.067054264,0.89174485,0.0027534536,0.024816168],"study_design_scores_gemma":[0.000042622472,0.00015428192,0.0061062905,0.00006665124,0.000029457293,0.0012659347,0.00071592635,0.03756013,0.057545867,0.86022633,0.03621589,0.00007069794],"about_ca_topic_score_codex":0.00097629783,"about_ca_topic_score_gemma":0.0012205486,"teacher_disagreement_score":0.0024317754,"about_ca_system_score_codex":0.0009821305,"about_ca_system_score_gemma":0.00026274685,"threshold_uncertainty_score":0.00813514},"labels":[],"label_agreement":null},{"id":"W363800167","doi":"10.1007/978-3-319-10139-2_4","title":"The COhol-Topology for the Space of Holomorphic Vector Fields","year":2014,"lang":"en","type":"book-chapter","venue":"SpringerBriefs in mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Holomorphic function; Topology (electrical circuits); Vector field; Analyticity of holomorphic functions; Section (typography); Identity theorem; Mathematics; Pure mathematics; Vector space; Space (punctuation); Computer science; Geometry; Combinatorics","score_opus":0.0446877910707393,"score_gpt":0.30280116219631414,"score_spread":0.25811337112557486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W363800167","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03292313,0.056119144,0.09959636,0.009778561,0.0042583146,0.000054613218,0.0007258646,0.00019582474,0.7963482],"genre_scores_gemma":[0.6072318,0.046341013,0.040948164,0.0025162504,0.007221918,0.00020545401,0.0010771304,0.00037382232,0.29408446],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996512,0.00009781046,0.000018230015,0.00006339944,0.0001225187,0.00004688622],"domain_scores_gemma":[0.9996039,0.00015010338,0.00003105595,0.000047161095,0.00009880521,0.000068887755],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057078473,0.0007961232,0.0004869987,0.0022423388,0.0013425185,0.0041115982,0.00061623665,0.0008671312,0.009074449],"category_scores_gemma":[0.0011537101,0.00023052956,0.00038501006,0.0021177067,0.003362489,0.0056965547,0.0014414274,0.0023991857,0.0015128994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000025468732,0.00000174683,0.000018989213,0.000020193525,0.0000012513806,0.000010082922,0.00006886261,0.00005502671,0.00015774312,0.9931351,0.0026599208,0.003868498],"study_design_scores_gemma":[0.0000028426277,0.000006873746,0.000099043464,0.000020437936,0.000001557422,0.00006527596,0.00009022775,0.00044909635,0.0001342286,0.9363272,0.062797375,0.000005759734],"about_ca_topic_score_codex":0.0011654787,"about_ca_topic_score_gemma":0.0009620091,"teacher_disagreement_score":0.009074449,"about_ca_system_score_codex":0.0014038701,"about_ca_system_score_gemma":0.00076414703,"threshold_uncertainty_score":0.030357063},"labels":[],"label_agreement":null},{"id":"W36732677","doi":"10.1007/978-3-642-17404-9_8","title":"Polynomial Invariant Rings","year":2011,"lang":"en","type":"book-chapter","venue":"Encyclopaedia of mathematical sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; University of New Brunswick","funders":"","keywords":"Mathematics; Invariant (physics); Polynomial ring; Pure mathematics; Alexander polynomial; Polynomial; Alternating polynomial; Group (periodic table); Combinatorics; Matrix polynomial; Mathematical analysis; Physics; Knot theory","score_opus":0.07165493740140672,"score_gpt":0.29426639247745195,"score_spread":0.22261145507604524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W36732677","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0033616712,0.011005826,0.0108180875,0.00085765176,0.0007575304,0.000025405046,0.00035225644,0.00033485843,0.9724867],"genre_scores_gemma":[0.08546955,0.019750785,0.0077963425,0.00043112086,0.0015810126,0.000053322037,0.0009183642,0.0002340728,0.88376546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99985397,0.000018402256,0.000004868464,0.000028786508,0.00007715771,0.000016759519],"domain_scores_gemma":[0.99991477,0.000019483401,0.0000071628206,0.00001798253,0.000028593931,0.000011987565],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014146745,0.0005154288,0.0003542026,0.0009534018,0.00065413123,0.0019286338,0.00043079277,0.0002425395,0.042217936],"category_scores_gemma":[0.0003296049,0.00022385773,0.00017879477,0.0015739624,0.00081977155,0.0021233482,0.0006565696,0.0011140539,0.014203684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018709883,0.000033142198,0.000079583195,0.0001686194,0.0000063225607,0.00004008791,0.00022487143,0.0005751333,0.0012996241,0.7379192,0.11387177,0.1457629],"study_design_scores_gemma":[0.0000059896656,0.00001760833,0.00037327906,0.000054830725,0.000008078814,0.00016895158,0.000057398738,0.000548849,0.00067918486,0.24723202,0.75084597,0.000007938074],"about_ca_topic_score_codex":0.0007518091,"about_ca_topic_score_gemma":0.0011001675,"teacher_disagreement_score":0.042217936,"about_ca_system_score_codex":0.0008749311,"about_ca_system_score_gemma":0.00076444604,"threshold_uncertainty_score":0.14123309},"labels":[],"label_agreement":null},{"id":"W36796061","doi":"10.1563/aaid-joi-d-22-00055","title":"Integrability criteria for dierential equations on the projective plane.","year":2001,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Projective plane; Twisted cubic; Projective variety; Projective space; Pure mathematics; Gravitational singularity; Algebraic curve; Projective test; Projective differential geometry; Plane curve; Mathematical analysis; Complex projective space; Line at infinity; Real projective plane; Plane (geometry); Complete intersection; Geometry","score_opus":0.14155297052134522,"score_gpt":0.3917493781972953,"score_spread":0.2501964076759501,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W36796061","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.063135535,0.0059895036,0.84347385,0.004972667,0.00044046075,0.0003005206,0.0012446293,0.00020738698,0.08023549],"genre_scores_gemma":[0.8431182,0.004015967,0.099933304,0.0005899025,0.0005852672,0.0006879705,0.0017563769,0.00033085138,0.048982102],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985587,0.0005632029,0.00008767969,0.00020327975,0.00040937148,0.00017771241],"domain_scores_gemma":[0.9904835,0.006368961,0.00071059266,0.000271601,0.0018009234,0.0003644389],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0050569214,0.0017554524,0.0007702774,0.0027783818,0.00079126074,0.0024186508,0.0012029817,0.001273907,0.010782279],"category_scores_gemma":[0.017890055,0.0003918077,0.00125083,0.00091699185,0.002097139,0.0029324705,0.0025447167,0.0032204292,0.0011471873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037926828,0.000041980413,0.0014630144,0.0002016811,0.000051051797,0.0001718682,0.00024324344,0.025125593,0.0006600312,0.95075196,0.0026066627,0.018645082],"study_design_scores_gemma":[0.000028171702,0.000060491097,0.0016944685,0.00009919635,0.000030927877,0.000188676,0.00015088785,0.5159666,0.000609297,0.47141466,0.009722044,0.00003460248],"about_ca_topic_score_codex":0.006472296,"about_ca_topic_score_gemma":0.0043421653,"teacher_disagreement_score":0.010782279,"about_ca_system_score_codex":0.0021295769,"about_ca_system_score_gemma":0.0012980024,"threshold_uncertainty_score":0.036070287},"labels":[],"label_agreement":null},{"id":"W38937692","doi":"10.1186/s12911-024-02580-6","title":"Development and usability testing of an online support tool to identify models and frameworks to inform implementation.","year":2024,"lang":"en","type":"dissertation","venue":"PubMed","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"Ministry of Health and Long Term Care; University of Toronto; St. Michael's Hospital","funders":"Canadian Institutes of Health Research","keywords":"Dynamical systems theory; Statistical physics; Computer science; Physics","score_opus":0.10611205681271728,"score_gpt":0.39285260339500055,"score_spread":0.28674054658228326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W38937692","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5638691,0.0008128771,0.32161418,0.0019013094,0.00039557513,0.08629285,0.0033884111,0.0062083052,0.015517394],"genre_scores_gemma":[0.23056266,0.0003078326,0.72032785,0.00044525182,0.000032321645,0.044201408,0.0017875637,0.00026622217,0.002068908],"study_design_codex":"design_other","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9704057,0.017063027,0.0043189065,0.0019051027,0.0054363688,0.00087100687],"domain_scores_gemma":[0.8875044,0.07341534,0.0042767813,0.010058161,0.02333597,0.0014093418],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.057465818,0.0017107689,0.0009172199,0.0053291004,0.0013336557,0.0032602407,0.002898922,0.0016739984,0.0035886422],"category_scores_gemma":[0.13584836,0.00090895855,0.0022189228,0.002406337,0.0011880508,0.0039474745,0.0026610012,0.0011072278,0.0011538062],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00087808113,0.0050711744,0.02941727,0.006227416,0.0003124285,0.0008800369,0.029919658,0.004190841,0.011182623,0.00416881,0.012690165,0.89506143],"study_design_scores_gemma":[0.007943926,0.047319595,0.20346026,0.039435517,0.0027326283,0.005080369,0.0820951,0.14072518,0.096691355,0.028864397,0.34367812,0.001973611],"about_ca_topic_score_codex":0.0025600244,"about_ca_topic_score_gemma":0.0034592603,"teacher_disagreement_score":0.057465818,"about_ca_system_score_codex":0.0029448841,"about_ca_system_score_gemma":0.009760265,"threshold_uncertainty_score":0.30391192},"labels":[],"label_agreement":null},{"id":"W40101469","doi":"10.4169/amer.math.monthly.119.07.584","title":"The Extraordinary Power of Division in Straight Line Programs","year":2012,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Okanagan College; Simon Fraser University","funders":"","keywords":"Computer science; Simplicity; Division (mathematics); Line (geometry); Simple (philosophy); Modular design; Point (geometry); Context (archaeology); Computation; Power (physics); Theoretical computer science; Arithmetic; Programming language; Mathematics; Epistemology; Geometry; Philosophy; History","score_opus":0.030883636391986418,"score_gpt":0.32398985452716866,"score_spread":0.29310621813518223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W40101469","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08127254,0.0062210253,0.6016193,0.01625924,0.0013239455,0.00007288602,0.0002743506,0.0013988245,0.29155785],"genre_scores_gemma":[0.875708,0.0037037232,0.08091353,0.0018894925,0.0015183585,0.00014007323,0.0001579889,0.0005997769,0.03536907],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99766695,0.00077170547,0.000111656256,0.000505316,0.0006952798,0.000249104],"domain_scores_gemma":[0.995059,0.003055551,0.0002886749,0.0009328241,0.00041528355,0.0002485656],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019678327,0.00049210613,0.00052785384,0.0009884655,0.0021410068,0.004969641,0.0009167114,0.0011612793,0.0077859713],"category_scores_gemma":[0.0108299265,0.0005275878,0.000693023,0.0013585298,0.011628915,0.01584835,0.004012057,0.004017234,0.0018580413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024377881,0.000005072466,0.00007248238,0.00002000754,0.0000030537647,0.000028990338,0.00026058382,0.0007722766,0.00020657605,0.9886885,0.0019191637,0.007998862],"study_design_scores_gemma":[0.000011187418,0.000010389415,0.00004301019,0.000012725943,0.000004079234,0.00003830841,0.00004134987,0.0022892733,0.0003805001,0.9825398,0.014621045,0.000008359322],"about_ca_topic_score_codex":0.0012433786,"about_ca_topic_score_gemma":0.00069559336,"teacher_disagreement_score":0.0077859713,"about_ca_system_score_codex":0.0015133576,"about_ca_system_score_gemma":0.0008236141,"threshold_uncertainty_score":0.026046693},"labels":[],"label_agreement":null},{"id":"W4205747899","doi":"10.1016/s0007-4497(04)00087-9","title":"An algebraic model for the center problem","year":2004,"lang":"en","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Center (category theory); Algebraic number; Mathematics; Computer science; Algebra over a field; Pure mathematics; Mathematical analysis; Chemistry","score_opus":0.086617141021484,"score_gpt":0.3601757597353717,"score_spread":0.2735586187138877,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4205747899","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28430206,0.0014790149,0.40932757,0.016566843,0.0006085567,0.00019511279,0.0005964965,0.00030869283,0.28661567],"genre_scores_gemma":[0.93705183,0.00070516067,0.021660656,0.00055159366,0.0004916083,0.0001092182,0.0002644161,0.00009806702,0.039067436],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997118,0.00006869089,0.000011167121,0.000050454044,0.00007652229,0.00008127644],"domain_scores_gemma":[0.9993236,0.00023020929,0.00009879748,0.00006166272,0.00013004952,0.00015570666],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051329774,0.0003889526,0.0007887017,0.00097633695,0.0014444408,0.0023988239,0.0013579128,0.0016757621,0.011117682],"category_scores_gemma":[0.0018083544,0.00020336571,0.0006682981,0.0008395811,0.002098709,0.003576559,0.0021717004,0.002067735,0.0006987599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008421624,0.000012655383,0.00004568105,0.00000885494,0.0000021429526,0.000037313024,0.000037674126,0.0011653738,0.000120367644,0.9966543,0.0010301218,0.0008770615],"study_design_scores_gemma":[0.000023902297,0.000009535408,0.000043264507,0.0000044713347,0.0000029096946,0.000047513277,0.000068492955,0.020542992,0.00007530145,0.97680044,0.0023764265,0.0000047685394],"about_ca_topic_score_codex":0.0020598911,"about_ca_topic_score_gemma":0.0013407072,"teacher_disagreement_score":0.011117682,"about_ca_system_score_codex":0.0014257494,"about_ca_system_score_gemma":0.0014210937,"threshold_uncertainty_score":0.037192285},"labels":[],"label_agreement":null},{"id":"W4211176825","doi":"10.1007/978-1-4471-2918-9_1","title":"Introduction","year":2012,"lang":"en","type":"book-chapter","venue":"Applied mathematical sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Computer science","score_opus":0.060366576404912234,"score_gpt":0.3046975801727958,"score_spread":0.24433100376788358,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4211176825","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00031105257,0.002952865,0.005804163,0.0019317719,0.004170018,0.000095639356,0.0012466476,0.00051910017,0.98296875],"genre_scores_gemma":[0.0011318426,0.0016768278,0.001467639,0.00072972925,0.00070119987,0.00005514911,0.0008618729,0.0001963285,0.99317944],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99956053,0.000045608445,0.000015147309,0.00009605594,0.00023562644,0.000047077807],"domain_scores_gemma":[0.99953806,0.00007108553,0.00001794638,0.00006769955,0.00022807931,0.00007712855],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00045858053,0.0008658713,0.00052165816,0.0014950302,0.0011183897,0.0031313598,0.0013097989,0.0013519053,0.46122617],"category_scores_gemma":[0.0016249353,0.00027813966,0.0004321651,0.0012796487,0.0006119299,0.002966375,0.0019315078,0.0017580588,0.36726776],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019761148,0.00003366589,0.000076101096,0.00019308343,0.0000024287153,0.000044194057,0.0001366757,0.00021666288,0.000469748,0.07480532,0.73465997,0.18934241],"study_design_scores_gemma":[0.0000010373689,0.0000036422207,0.000045615227,0.000050523777,6.857086e-7,0.000023512393,0.000022678334,0.000023666358,0.00006524061,0.0057422663,0.99401927,0.000001916367],"about_ca_topic_score_codex":0.0017616627,"about_ca_topic_score_gemma":0.002977213,"teacher_disagreement_score":0.53877383,"about_ca_system_score_codex":0.0011279585,"about_ca_system_score_gemma":0.0014902289,"threshold_uncertainty_score":0.76849544},"labels":[],"label_agreement":null},{"id":"W4213462034","doi":"10.48550/arxiv.2104.05505","title":"Differential algebraic generating series of weighted walks in the\\n quarter plane","year":2021,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Agence Nationale de la Recherche","keywords":"Quarter (Canadian coin); Series (stratigraphy); Differential (mechanical device); Mathematics; Algebraic number; Plane (geometry); Mathematical analysis; Geometry; Physics; History; Geology","score_opus":0.05504724492622737,"score_gpt":0.1997629197103805,"score_spread":0.14471567478415312,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4213462034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8942458,0.000269856,0.081081234,0.0002953453,0.00008819144,0.000024896564,0.00008017602,0.0000849202,0.023829626],"genre_scores_gemma":[0.9843276,0.00032179302,0.0063180304,0.00005162878,0.00007576104,0.00003263996,0.0000932635,0.000033880817,0.008745405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998136,0.000037827846,0.0000090490075,0.000029178285,0.00006191286,0.00004843735],"domain_scores_gemma":[0.9995221,0.00014401022,0.00012556674,0.000040743133,0.00008186392,0.0000857049],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046260003,0.0003244405,0.00031590852,0.0014582792,0.00046277538,0.0013350683,0.0005721669,0.00036136262,0.0029870719],"category_scores_gemma":[0.0014200697,0.00016314363,0.00031262447,0.0008836902,0.0010302376,0.0017467919,0.000538658,0.0005020382,0.0003033578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020607065,0.000024187364,0.0005267815,0.000016315187,0.000005904147,0.00013599225,0.000118003125,0.004472511,0.003092971,0.9868168,0.0003255326,0.0044443267],"study_design_scores_gemma":[0.000016470647,0.000041295756,0.0011327983,0.000012204208,0.000008506108,0.00032350735,0.00017483531,0.11376386,0.002336195,0.8796859,0.0024809896,0.000023435063],"about_ca_topic_score_codex":0.0005184819,"about_ca_topic_score_gemma":0.00047718067,"teacher_disagreement_score":0.0029870719,"about_ca_system_score_codex":0.0005604225,"about_ca_system_score_gemma":0.00027866574,"threshold_uncertainty_score":0.009992719},"labels":[],"label_agreement":null},{"id":"W4226194667","doi":"10.3934/jcd.2022005","title":"Rotation invariant patterns for a nonlinear Laplace-Beltrami equation: A Taylor-Chebyshev series approach","year":2022,"lang":"en","type":"article","venue":"Journal of Computational Dynamics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Invariant (physics); Taylor series; Mathematical analysis; Combinatorics; Mathematical physics","score_opus":0.040417562947936796,"score_gpt":0.2960341419474088,"score_spread":0.255616578999472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226194667","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0431229,0.0008328584,0.90129125,0.0014572106,0.00038692303,0.0001443017,0.00019000979,0.00020242107,0.05237221],"genre_scores_gemma":[0.63875616,0.0020234885,0.27276623,0.0010008725,0.0004983571,0.000514572,0.0006233565,0.00086015434,0.082956776],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973994,0.0000713006,0.000015793097,0.000037223257,0.0001010885,0.000034640612],"domain_scores_gemma":[0.9995034,0.00022632588,0.000061735656,0.00003175141,0.0001282778,0.000048479247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007152151,0.00079883117,0.0007162743,0.0008033958,0.0005051856,0.0015417712,0.0011361863,0.0012647742,0.00842333],"category_scores_gemma":[0.002472843,0.00036199982,0.00085609936,0.00051333546,0.0012921742,0.001695277,0.001191512,0.001768318,0.0016498319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008238931,0.00009450838,0.0009839912,0.00027709902,0.000029502397,0.0005216191,0.00038251537,0.1794561,0.012971433,0.77142423,0.0058115916,0.02796511],"study_design_scores_gemma":[0.000011949688,0.000015012859,0.00012195367,0.000022398723,0.0000044976723,0.00008839617,0.00004928793,0.93519235,0.0010993812,0.061006606,0.002375102,0.000013179415],"about_ca_topic_score_codex":0.0030163643,"about_ca_topic_score_gemma":0.0018815544,"teacher_disagreement_score":0.00842333,"about_ca_system_score_codex":0.00094486616,"about_ca_system_score_gemma":0.0010061628,"threshold_uncertainty_score":0.028178811},"labels":[],"label_agreement":null},{"id":"W4226362392","doi":"10.1093/imrn/rnac119","title":"On Centralizers in Azumaya Domains","year":2022,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Centralizer and normalizer; Modulo; Commutative property; Pure mathematics; Differential operator; Reduction (mathematics); Commutative ring; Discrete mathematics","score_opus":0.1668302453557817,"score_gpt":0.46816399976721634,"score_spread":0.3013337544114346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226362392","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76922715,0.0015580917,0.086998835,0.0012050546,0.00048066193,0.000055219345,0.000085645785,0.00023727823,0.140152],"genre_scores_gemma":[0.98779964,0.0002723399,0.0040391237,0.00009428255,0.00022936314,0.000025071247,0.000024549212,0.000027030856,0.0074884626],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932885,0.00016945171,0.000023482722,0.00012934592,0.00019188123,0.00015696387],"domain_scores_gemma":[0.9984688,0.0007469108,0.00016461806,0.00011272182,0.00024763859,0.00025923905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013010486,0.00032878137,0.00066668575,0.0016599424,0.0015310097,0.0023931717,0.00059497677,0.00034892393,0.004077966],"category_scores_gemma":[0.0021177076,0.0002417709,0.00049519766,0.000672062,0.0049704616,0.003146817,0.0027706705,0.0012599629,0.0005315036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002629104,0.0000101366495,0.00013564136,0.00001740118,0.0000050676213,0.000095877505,0.00021358153,0.00031379156,0.0013530093,0.99618065,0.00018035746,0.0014682526],"study_design_scores_gemma":[0.00003721317,0.00004774781,0.00040920693,0.000017301176,0.000009641722,0.00019574864,0.00022501155,0.0027569903,0.0029936663,0.9888409,0.0044540674,0.000012446676],"about_ca_topic_score_codex":0.0004230913,"about_ca_topic_score_gemma":0.00026334552,"teacher_disagreement_score":0.004077966,"about_ca_system_score_codex":0.0013267279,"about_ca_system_score_gemma":0.00067204086,"threshold_uncertainty_score":0.013642192},"labels":[],"label_agreement":null},{"id":"W4230610687","doi":"10.1007/978-1-4612-1322-2_7","title":"Limit Cycles","year":2000,"lang":"en","type":"book-chapter","venue":"Birkhäuser Boston eBooks","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of the Fraser Valley; Simon Fraser University","funders":"","keywords":"Limit cycle; Limit (mathematics); Van der Pol oscillator; Nonlinear system; Physics; Mathematical physics; Mathematics; Calculus (dental); Mathematical analysis; Quantum mechanics","score_opus":0.06692752018634307,"score_gpt":0.29561047087746245,"score_spread":0.22868295069111938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4230610687","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.023876818,0.013510569,0.15406518,0.0021517193,0.0009741348,0.000114126386,0.00034643535,0.00029958156,0.80466145],"genre_scores_gemma":[0.4414941,0.013962247,0.09012209,0.0014910924,0.001037722,0.00070917077,0.0008311634,0.00056559226,0.44978684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996655,0.000068821275,0.00002163318,0.00008742749,0.00012646586,0.000030169907],"domain_scores_gemma":[0.9996711,0.00011274224,0.00003045816,0.00006307425,0.000092613554,0.000030009209],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044371604,0.0006245188,0.0004206646,0.0013294719,0.0014191038,0.0025202865,0.0006653031,0.0009946437,0.01305216],"category_scores_gemma":[0.0014569237,0.00028795644,0.0004696169,0.0008648311,0.001839384,0.0035921687,0.0014690917,0.001507099,0.003267676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000015185764,0.0000026615476,0.000023516686,0.000022759832,0.0000016750286,0.000021495993,0.00010309174,0.00021251869,0.00013792806,0.9903144,0.0023899782,0.0067683086],"study_design_scores_gemma":[0.0000022730947,0.0000061543647,0.000057255922,0.000026909245,0.0000023137488,0.0001496371,0.000056840807,0.0013243365,0.00025309643,0.92181027,0.07630637,0.000004510202],"about_ca_topic_score_codex":0.0006407776,"about_ca_topic_score_gemma":0.00072422065,"teacher_disagreement_score":0.01305216,"about_ca_system_score_codex":0.0013643346,"about_ca_system_score_gemma":0.0005295524,"threshold_uncertainty_score":0.04366386},"labels":[],"label_agreement":null},{"id":"W4230875669","doi":"10.4153/cjm-2009-042-2","title":"About the Defectivity of Certain Segre--Veronese Varieties","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.06395213856826094,"score_gpt":0.2813235750463129,"score_spread":0.21737143647805196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4230875669","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71145785,0.0053632967,0.023132168,0.0071603665,0.0004874027,0.000028171387,0.00041985675,0.0001121879,0.25183862],"genre_scores_gemma":[0.9853613,0.0013709025,0.0023113296,0.00024221868,0.00038004908,0.000015614753,0.0002626269,0.000026258796,0.010029857],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995421,0.00011624018,0.000023569073,0.000083618135,0.0001356582,0.000098800054],"domain_scores_gemma":[0.9973937,0.0014691142,0.00029481982,0.00022351519,0.0003112671,0.00030743924],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010716374,0.00047636486,0.00070063234,0.0021743805,0.0022142355,0.0031713212,0.0008691844,0.00095693144,0.006047347],"category_scores_gemma":[0.00364646,0.0003061552,0.0005709118,0.001540361,0.005810876,0.005437707,0.0018956753,0.0027033337,0.00028898916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055480697,0.0000093332255,0.00065918494,0.00004059202,0.000012442753,0.0001861087,0.00061084586,0.00092352694,0.00057089987,0.99220604,0.0014454742,0.0032800974],"study_design_scores_gemma":[0.000014445285,0.00001930609,0.00089437934,0.000022809216,0.000008131644,0.00022130075,0.00024941997,0.0011365202,0.00016070825,0.9947791,0.0024820664,0.000011810469],"about_ca_topic_score_codex":0.002956542,"about_ca_topic_score_gemma":0.002373586,"teacher_disagreement_score":0.006047347,"about_ca_system_score_codex":0.0014867937,"about_ca_system_score_gemma":0.0006023039,"threshold_uncertainty_score":0.020230353},"labels":[],"label_agreement":null},{"id":"W4232551017","doi":"10.1090/crmm/010/12","title":"Intermediate Jacobians","year":2016,"lang":"en","type":"book-chapter","venue":"CRM monograph series","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Computer science; Mathematics","score_opus":0.035157781412618716,"score_gpt":0.2762948966512694,"score_spread":0.24113711523865067,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4232551017","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0070467778,0.0011713025,0.038913947,0.0005876043,0.0011568072,0.000043631637,0.0002973602,0.00036385073,0.9504188],"genre_scores_gemma":[0.14885674,0.0026735247,0.018373853,0.00041900127,0.0011284028,0.00008967325,0.00092552626,0.00090889,0.82662433],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995976,0.000041728275,0.000019606221,0.000119093835,0.00016495513,0.000056994464],"domain_scores_gemma":[0.9997478,0.000035943613,0.000022744103,0.00006793976,0.000082005725,0.000043504715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034378734,0.0009130312,0.0005628663,0.0019497232,0.0013035509,0.0035229363,0.0008728877,0.00060224766,0.051421873],"category_scores_gemma":[0.0010481412,0.00032082974,0.0005627324,0.00077105145,0.002096625,0.0042615538,0.0021229107,0.0025744275,0.016923686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007439387,0.000012339389,0.00003676712,0.000047290934,0.0000032279477,0.000039439306,0.00013243026,0.00022579798,0.0008230117,0.96619093,0.012050395,0.020430977],"study_design_scores_gemma":[0.000006210996,0.000019658288,0.00024021254,0.000058696583,0.000009080495,0.00024204921,0.00010667991,0.0010117783,0.0016210629,0.70392203,0.2927478,0.000014746311],"about_ca_topic_score_codex":0.0008787211,"about_ca_topic_score_gemma":0.001189855,"teacher_disagreement_score":0.051421873,"about_ca_system_score_codex":0.0011035773,"about_ca_system_score_gemma":0.0007086003,"threshold_uncertainty_score":0.17202336},"labels":[],"label_agreement":null},{"id":"W4233501884","doi":"10.1007/978-1-4612-0211-0_7","title":"Limit Cycles","year":2004,"lang":"en","type":"book-chapter","venue":"Birkhäuser Boston eBooks","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of the Fraser Valley; Simon Fraser University","funders":"","keywords":"Limit (mathematics); Limit cycle; Van der Pol oscillator; Nonlinear system; Physics; Mathematics; Mathematical physics; Calculus (dental); Mathematical analysis; Quantum mechanics","score_opus":0.0710083837220452,"score_gpt":0.30011313711268184,"score_spread":0.22910475339063663,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4233501884","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.032408983,0.013164306,0.19550201,0.0024215276,0.00092546304,0.00012481818,0.00041451282,0.0003688533,0.7546696],"genre_scores_gemma":[0.47251213,0.014330671,0.1015382,0.0013658287,0.00093360053,0.00074959453,0.0009281494,0.0006672447,0.40697464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997185,0.000056606117,0.000018755687,0.00007470148,0.00010413136,0.000027281274],"domain_scores_gemma":[0.9996983,0.00010258638,0.000029674118,0.000055005712,0.00008495338,0.000029531355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038274736,0.00060252723,0.0004223305,0.0013513255,0.0014755608,0.002318993,0.00063953816,0.0009862506,0.014501985],"category_scores_gemma":[0.0014028683,0.00029813405,0.0005343357,0.0008680778,0.0016498655,0.0033549962,0.0013550635,0.0014888601,0.0032974728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000001795472,0.0000029629073,0.000027798964,0.000024632816,0.0000018480868,0.000025971998,0.00009812083,0.00029833196,0.00016803802,0.98963916,0.0023927004,0.0073186615],"study_design_scores_gemma":[0.0000021977335,0.0000055413016,0.000055027453,0.000025195159,0.0000020807565,0.0001466221,0.000052109925,0.0016698228,0.00024190018,0.9436602,0.054134957,0.0000044172366],"about_ca_topic_score_codex":0.00069786847,"about_ca_topic_score_gemma":0.0007780452,"teacher_disagreement_score":0.014501985,"about_ca_system_score_codex":0.00134907,"about_ca_system_score_gemma":0.0005567595,"threshold_uncertainty_score":0.04851401},"labels":[],"label_agreement":null},{"id":"W4235386243","doi":"10.5539/jmr.v8n4p33","title":"Solve Special Case of Some Guran Problems","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Tishreen University","keywords":"Mathematics; Topological space; Separable space; Tychonoff space; Topology (electrical circuits); Space (punctuation); Discrete mathematics; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.20918791272816115,"score_gpt":0.4487515122786093,"score_spread":0.23956359955044818,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4235386243","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39298362,0.0024866455,0.2813697,0.01259099,0.0009852719,0.00019159951,0.0006805087,0.0004510069,0.30826065],"genre_scores_gemma":[0.8976777,0.00088739826,0.047545683,0.0013411171,0.00078249315,0.0002424594,0.0008602961,0.00012780345,0.050535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998497,0.00043454926,0.00008069065,0.0004300428,0.00025891777,0.00029875748],"domain_scores_gemma":[0.99789774,0.0011095139,0.00027443608,0.00020315257,0.0002152363,0.00029996727],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010003976,0.0005904146,0.000823412,0.001249826,0.002699046,0.0022514723,0.0010512357,0.002161283,0.015907623],"category_scores_gemma":[0.0059067355,0.00037675694,0.001105216,0.0010686168,0.0028066759,0.006035962,0.0041181347,0.0035778573,0.00090098224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003793429,0.00002846943,0.00046090846,0.000076613585,0.000016707674,0.0002752483,0.00031726237,0.0015913,0.00026728507,0.98670816,0.00446649,0.005753636],"study_design_scores_gemma":[0.000018296272,0.000022086424,0.0002525024,0.000017491904,0.0000074171553,0.00022430565,0.0003394716,0.012070024,0.0002495028,0.9793305,0.007458563,0.000009871595],"about_ca_topic_score_codex":0.00085370115,"about_ca_topic_score_gemma":0.00089256366,"teacher_disagreement_score":0.015907623,"about_ca_system_score_codex":0.0010498846,"about_ca_system_score_gemma":0.00065415556,"threshold_uncertainty_score":0.05321628},"labels":[],"label_agreement":null},{"id":"W4236254461","doi":"10.1007/978-3-319-77649-1_11","title":"Irreducible Polynomials","year":2018,"lang":"en","type":"book-chapter","venue":"Springer undergraduate mathematics series","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lakehead University","funders":"","keywords":"Mathematics; Irreducible polynomial; Pure mathematics; Ring (chemistry); Field (mathematics); Polynomial; Combinatorics; Mathematical analysis; Matrix polynomial; Chemistry","score_opus":0.05191890845524175,"score_gpt":0.2910958043983373,"score_spread":0.23917689594309557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4236254461","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0045607635,0.0030074657,0.01199209,0.0015725123,0.0015036603,0.00002019941,0.0002544651,0.00020224268,0.9768866],"genre_scores_gemma":[0.10728553,0.0074975044,0.00733912,0.0006313845,0.0019100013,0.000037116242,0.00066448224,0.000352266,0.8742827],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999635,0.00004856217,0.00000961968,0.00006489926,0.00018446337,0.00005743163],"domain_scores_gemma":[0.9998306,0.000030254449,0.0000147770625,0.00003638731,0.000055665718,0.000032298678],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002782781,0.00074174406,0.00046718083,0.0013708117,0.0011463996,0.0028335871,0.000537596,0.0004559902,0.04683177],"category_scores_gemma":[0.00082729355,0.00026271632,0.00033360397,0.0015592024,0.0014180952,0.0030923279,0.0015721933,0.0026097826,0.019309653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009133165,0.000016199663,0.00004035968,0.00007711125,0.0000031633044,0.000020047226,0.00015674987,0.0002032828,0.0003612304,0.90827924,0.04016383,0.05066966],"study_design_scores_gemma":[0.000005237075,0.000012475193,0.00022091565,0.000060673985,0.0000066876614,0.00015522767,0.00008809116,0.00046043517,0.0005542353,0.50209785,0.4963303,0.00000797338],"about_ca_topic_score_codex":0.00072156795,"about_ca_topic_score_gemma":0.0010695568,"teacher_disagreement_score":0.04683177,"about_ca_system_score_codex":0.0012700798,"about_ca_system_score_gemma":0.00091662013,"threshold_uncertainty_score":0.15666783},"labels":[],"label_agreement":null},{"id":"W4236795896","doi":"10.1090/conm/655/13231","title":"On the Euler Kronecker Constant of a Cyclotomic Field, II","year":2015,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Euler's formula; Constant (computer programming); Kronecker delta; Field (mathematics); Pure mathematics; Cyclotomic field; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.05372468962095804,"score_gpt":0.31413891026053137,"score_spread":0.2604142206395733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4236795896","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21982211,0.008930882,0.42498854,0.014697214,0.0033050491,0.00009794615,0.0010047746,0.00078440766,0.32636914],"genre_scores_gemma":[0.90895724,0.0051044114,0.040239513,0.0019623507,0.0024804282,0.00018944146,0.0007125718,0.00035869863,0.039995324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989693,0.00023030111,0.000058689522,0.00028049934,0.00025367527,0.00020758327],"domain_scores_gemma":[0.99356633,0.0036355548,0.00051916356,0.0010204741,0.00068375334,0.0005747943],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033046692,0.001399679,0.0010705313,0.004688311,0.002196188,0.0036423183,0.0016818111,0.0012803869,0.013689439],"category_scores_gemma":[0.012588019,0.0005258166,0.0010084088,0.0024025126,0.0048481906,0.010212819,0.003941524,0.0065915203,0.0031447879],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005524548,0.00002714144,0.00086811365,0.00009522141,0.000010624646,0.000065656146,0.00019694166,0.0014414311,0.0011122138,0.9805735,0.005260542,0.010293387],"study_design_scores_gemma":[0.0000076947,0.00002882744,0.0007399959,0.000089934634,0.000023417553,0.0001707651,0.00008653095,0.008129149,0.0014724304,0.98108,0.008146362,0.0000250008],"about_ca_topic_score_codex":0.00093935744,"about_ca_topic_score_gemma":0.0007335722,"teacher_disagreement_score":0.013689439,"about_ca_system_score_codex":0.0018019978,"about_ca_system_score_gemma":0.00079951657,"threshold_uncertainty_score":0.04579568},"labels":[],"label_agreement":null},{"id":"W4237040248","doi":"10.1017/cbo9780511791260.008","title":"Integral Bases","year":2003,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Computer science","score_opus":0.048199089264263306,"score_gpt":0.24314928903107036,"score_spread":0.19495019976680705,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4237040248","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00415506,0.0065376502,0.056466177,0.000976692,0.0009362652,0.000023359657,0.00052204967,0.00037384682,0.93000895],"genre_scores_gemma":[0.2030219,0.019198438,0.06593986,0.00096045295,0.0020483676,0.00012274334,0.002044517,0.0010195464,0.7056441],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99975044,0.000033061362,0.000010876072,0.000045516295,0.00013204181,0.000028129254],"domain_scores_gemma":[0.9998343,0.000035120145,0.000009076039,0.00003692411,0.00006329807,0.000021323558],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041814783,0.00054662,0.00050156016,0.0016410508,0.00084584445,0.002377979,0.0006992189,0.00046930363,0.043547206],"category_scores_gemma":[0.00076531817,0.00023341189,0.0004405918,0.0011298395,0.0010920954,0.0030737503,0.0011928714,0.0019074052,0.014059668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007885472,0.000010519774,0.00003355769,0.00006960739,0.0000035404948,0.00002262849,0.00011483195,0.00023680317,0.0005115974,0.9359361,0.02208769,0.040965267],"study_design_scores_gemma":[0.0000048587294,0.000009413029,0.00014262111,0.0000599824,0.0000058659243,0.00015733496,0.00006501144,0.0009558961,0.0006906312,0.7802996,0.21760193,0.000006839711],"about_ca_topic_score_codex":0.00062182086,"about_ca_topic_score_gemma":0.0006776142,"teacher_disagreement_score":0.043547206,"about_ca_system_score_codex":0.0010065746,"about_ca_system_score_gemma":0.00049608253,"threshold_uncertainty_score":0.14567995},"labels":[],"label_agreement":null},{"id":"W4239401405","doi":"10.1007/978-1-4939-7131-2_100783","title":"Nonsingular – Invertible","year":2018,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Invertible matrix; Mathematics; Pure mathematics","score_opus":0.06669415876944772,"score_gpt":0.30630177940724246,"score_spread":0.23960762063779473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4239401405","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008043221,0.0021431544,0.05712334,0.0010781803,0.0014095171,0.000024925932,0.0002652131,0.00045438914,0.92945814],"genre_scores_gemma":[0.20187922,0.005264944,0.032113876,0.0013916217,0.0019587465,0.0000533886,0.0007025142,0.0011167745,0.755519],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996624,0.000038398797,0.000016165195,0.00010685097,0.0001415552,0.00003460207],"domain_scores_gemma":[0.99980325,0.000045944536,0.000017096165,0.000043827706,0.00007378288,0.000016215587],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026250773,0.0008274521,0.00038144624,0.00074974005,0.0006723009,0.0016362041,0.0004196085,0.00054327335,0.032660987],"category_scores_gemma":[0.00080092234,0.00031501224,0.0003362268,0.00052526954,0.0019030826,0.0024001468,0.001097949,0.0019668832,0.016657595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012014217,0.000013175985,0.00004200202,0.00009654049,0.0000043396985,0.000048061956,0.0001705993,0.00028605916,0.0024340665,0.92114156,0.020762727,0.054988842],"study_design_scores_gemma":[0.0000048536076,0.00001535651,0.00014649605,0.000033141827,0.0000054822785,0.00025702704,0.000070626615,0.0007569683,0.0022852274,0.7191584,0.27725428,0.0000121716685],"about_ca_topic_score_codex":0.0004651089,"about_ca_topic_score_gemma":0.0006410164,"teacher_disagreement_score":0.032660987,"about_ca_system_score_codex":0.0004204201,"about_ca_system_score_gemma":0.0004033873,"threshold_uncertainty_score":0.10926187},"labels":[],"label_agreement":null},{"id":"W4240895081","doi":"10.1007/978-0-387-21652-2_16","title":"Spectra","year":2002,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Emphasis (telecommunications); Mathematics; Combinatorics; Spectrum (functional analysis); Class (philosophy); Spectral line; Root (linguistics); Value (mathematics); Physics; Statistics; Quantum mechanics; Philosophy; Computer science; Linguistics","score_opus":0.06866641347641775,"score_gpt":0.28766119784002314,"score_spread":0.2189947843636054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4240895081","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0035234934,0.0009782685,0.021535011,0.00078880927,0.000868555,0.000024249823,0.0004310757,0.00045487614,0.9713956],"genre_scores_gemma":[0.08595519,0.0019003109,0.013440185,0.00073109433,0.0008196032,0.00007323242,0.0010404586,0.000778211,0.89526165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997732,0.000024797735,0.000007754526,0.00006591957,0.00010152451,0.000026777328],"domain_scores_gemma":[0.9998254,0.000021498952,0.000010270089,0.000038719347,0.000076974124,0.000027146632],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017409075,0.00069529575,0.0004260334,0.0016629971,0.0013692126,0.0026324263,0.00065320893,0.0005245166,0.08157179],"category_scores_gemma":[0.00059198274,0.00023448253,0.0002814238,0.00093655096,0.0011000648,0.0031772163,0.0011825266,0.0015733893,0.033427626],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010522057,0.000010929434,0.00003683394,0.00004127527,0.0000027720355,0.000025583468,0.00012855008,0.00010992651,0.0009888113,0.9168594,0.046193726,0.03559166],"study_design_scores_gemma":[0.000004715836,0.000007029189,0.00015376112,0.000027747528,0.0000038988683,0.00017466141,0.000097248216,0.0003993669,0.001320959,0.5769168,0.4208867,0.000007034299],"about_ca_topic_score_codex":0.0006651122,"about_ca_topic_score_gemma":0.000740789,"teacher_disagreement_score":0.08157179,"about_ca_system_score_codex":0.00088786334,"about_ca_system_score_gemma":0.00046318248,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W4243789100","doi":"10.23952/jnva.3.2019.3.01","title":"Attractive points of further 2-generalized hybrid mappings in a complete CAT(0) space","year":2019,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Space (punctuation); Mathematics; Computer science; Topology (electrical circuits); Pure mathematics; Combinatorics","score_opus":0.02761303729266851,"score_gpt":0.2990962343717227,"score_spread":0.2714831970790542,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4243789100","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42597827,0.0005287947,0.54912513,0.0002768511,0.00014403487,0.00007811357,0.000075832024,0.00011113543,0.023681914],"genre_scores_gemma":[0.92356,0.00027510102,0.05827064,0.00011129543,0.000054423504,0.00011761566,0.00009427899,0.00004168976,0.017474959],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99982196,0.00004828132,0.000011216962,0.00004106666,0.000052692834,0.000024796369],"domain_scores_gemma":[0.9997707,0.000060593477,0.000041829102,0.000024405097,0.000057247966,0.000045232657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040797543,0.00042734112,0.00032710275,0.0005872608,0.0005960197,0.0008781701,0.00038625207,0.00064125384,0.0024351813],"category_scores_gemma":[0.00065350375,0.00018544699,0.000532259,0.00020615438,0.0011811025,0.0016390755,0.0013101165,0.0007588074,0.00028063715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045235305,0.000018768966,0.00050147803,0.000066085544,0.000021952354,0.00024068511,0.0002715322,0.029215315,0.011009521,0.946733,0.00046230652,0.0114140725],"study_design_scores_gemma":[0.000026600042,0.00017942251,0.0006172301,0.000026679054,0.000013073529,0.0004186808,0.0002443582,0.32737952,0.0051495084,0.6607565,0.005136871,0.000051553874],"about_ca_topic_score_codex":0.0005039662,"about_ca_topic_score_gemma":0.0004337367,"teacher_disagreement_score":0.0024351813,"about_ca_system_score_codex":0.00043059446,"about_ca_system_score_gemma":0.00033913247,"threshold_uncertainty_score":0.008146465},"labels":[],"label_agreement":null},{"id":"W4243837668","doi":"10.1109/pica.1991.160621","title":"Analysis of the load flow behaviour near a Jacobian singularity","year":2002,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"McGill University","keywords":"Singularity; Jacobian matrix and determinant; Flow (mathematics); Mathematics; Bifurcation; Relation (database); Control theory (sociology); Mathematical analysis; Applied mathematics; Topology (electrical circuits); Computer science; Physics; Geometry; Artificial intelligence; Combinatorics; Nonlinear system; Quantum mechanics","score_opus":0.04287553206712399,"score_gpt":0.28903478675238864,"score_spread":0.24615925468526464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4243837668","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59870964,0.00018861351,0.37669024,0.0003172716,0.00002042013,0.000074981355,0.00010462462,0.0007709877,0.023123248],"genre_scores_gemma":[0.98944104,0.00006398834,0.008142789,0.000017956903,0.00000732011,0.000011589924,0.000048103862,0.000048478232,0.002218726],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99982786,0.00002708807,0.000005692347,0.000019355757,0.0000963946,0.000023485421],"domain_scores_gemma":[0.9994791,0.00023882686,0.00010343645,0.00004491483,0.000107065556,0.000026635733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000385396,0.0003047068,0.0003120227,0.0009677606,0.00028462755,0.0006507688,0.00024467448,0.0002667669,0.003105986],"category_scores_gemma":[0.0024983862,0.00014299306,0.0003095079,0.00029951497,0.00066973333,0.0008328588,0.00036625317,0.0003975518,0.00027103184],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017933588,0.000139024,0.0054274467,0.00015065589,0.000038575356,0.0014012594,0.00089381286,0.73843277,0.103412345,0.10323525,0.0015836165,0.045105863],"study_design_scores_gemma":[0.0000048104885,0.000026085234,0.0008534527,0.0000046917185,0.0000033799306,0.000100914025,0.000033207252,0.98636186,0.004966014,0.00721703,0.00042052064,0.000008065192],"about_ca_topic_score_codex":0.0017108513,"about_ca_topic_score_gemma":0.00084758556,"teacher_disagreement_score":0.003105986,"about_ca_system_score_codex":0.00046838413,"about_ca_system_score_gemma":0.0002511346,"threshold_uncertainty_score":0.01039058},"labels":[],"label_agreement":null},{"id":"W4249263492","doi":"10.1007/978-3-030-06212-5_1","title":"Introduction","year":2019,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Computer science","score_opus":0.033823009857707864,"score_gpt":0.2794865602866018,"score_spread":0.24566355042889393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4249263492","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00025989255,0.0025464664,0.0031725776,0.0015676547,0.0035952912,0.000076410455,0.0010451754,0.00035713593,0.98737943],"genre_scores_gemma":[0.0008969286,0.0014378646,0.00078154996,0.00054815284,0.00056284503,0.000040942552,0.00070609275,0.00013593068,0.9948896],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99956995,0.000044523724,0.00001471671,0.000090788206,0.00023260205,0.000047366695],"domain_scores_gemma":[0.9995228,0.00007068654,0.000017752902,0.00006516845,0.0002375525,0.000086034],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00042939224,0.00084817293,0.0005175977,0.001691816,0.0012148641,0.0033632496,0.001279366,0.0013953322,0.50221694],"category_scores_gemma":[0.001554982,0.00028858936,0.0004182403,0.001492845,0.00060612883,0.0028862718,0.0019605528,0.0017535749,0.3966166],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001755559,0.000034679444,0.000068375106,0.00017527744,0.0000019112642,0.000037279202,0.00010563474,0.0001697359,0.000367922,0.058727313,0.78418475,0.15610954],"study_design_scores_gemma":[9.389836e-7,0.0000034045618,0.000045853056,0.0000492724,5.788293e-7,0.000021160919,0.000021936741,0.000019835572,0.000052745097,0.004593933,0.9951887,0.0000016332759],"about_ca_topic_score_codex":0.0020154342,"about_ca_topic_score_gemma":0.003802895,"teacher_disagreement_score":0.50221694,"about_ca_system_score_codex":0.0012813013,"about_ca_system_score_gemma":0.00164218,"threshold_uncertainty_score":0.7100271},"labels":[],"label_agreement":null},{"id":"W4250142895","doi":"10.1016/s1701-2163(16)32408-2","title":"In Response","year":2007,"lang":"en","type":"article","venue":"Journal of Obstetrics and Gynaecology Canada","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"The Society of Obstetricians and Gynaecologists of Canada","funders":"","keywords":"Attractor; Jump; Saddle; Invariant (physics); Bifurcation; Saddle-node bifurcation; Crisis; Instability; Mathematical analysis; Physics; Mathematics; Mechanics; Mathematical physics; Nonlinear system; Mathematical optimization","score_opus":0.019024826121142608,"score_gpt":0.2819428956282493,"score_spread":0.2629180695071067,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4250142895","genre_codex":"commentary","genre_gemma":"commentary","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"commentary","genre_consensus":"commentary","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00041089123,0.0023474463,0.00016895829,0.75607526,0.22989126,0.000100474324,0.0006154916,0.00011488521,0.010275314],"genre_scores_gemma":[0.00178614,0.0010297609,0.00014263415,0.8463248,0.04852562,0.0001290016,0.00019913825,0.00005333057,0.10180959],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99692315,0.0004875196,0.00031862798,0.0004917042,0.0010511752,0.0007278087],"domain_scores_gemma":[0.98543674,0.005258755,0.0010630675,0.00044922554,0.0039548874,0.0038374092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032621443,0.0010635611,0.0011388286,0.001259606,0.0037258517,0.0052841026,0.002415196,0.030889342,0.13249029],"category_scores_gemma":[0.033137888,0.00076249987,0.0015679477,0.0007023598,0.0014689512,0.0021932276,0.0039834804,0.025649935,0.056189567],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023363706,0.0000068636123,0.00017758064,0.00004586596,0.0000035111912,0.00010812225,0.000032865697,0.00001067175,0.00005167399,0.00027526324,0.99664485,0.002619315],"study_design_scores_gemma":[0.000029307246,0.000014913235,0.00075262645,0.00013227378,0.0000084956755,0.00011947308,0.000310958,0.000040428647,0.000069204754,0.00040800386,0.99809617,0.00001819548],"about_ca_topic_score_codex":0.006454502,"about_ca_topic_score_gemma":0.017435947,"teacher_disagreement_score":0.13249029,"about_ca_system_score_codex":0.0032914118,"about_ca_system_score_gemma":0.006692049,"threshold_uncertainty_score":0.4432242},"labels":[],"label_agreement":null},{"id":"W4252095687","doi":"10.1139/cjp-79-8-1099","title":"The perturbative β-function in the Zumino model","year":2001,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Physics; Function (biology); Beta function (physics); Statistical physics; Non-perturbative; Mathematical physics; Quantum electrodynamics; Quantum mechanics; Quantum gravity; Thermal quantum field theory","score_opus":0.04826824955968061,"score_gpt":0.2797873493603508,"score_spread":0.2315190998006702,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4252095687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8670956,0.0010279131,0.048511304,0.001667037,0.00029226235,0.000048818933,0.0000700131,0.00040920524,0.0808779],"genre_scores_gemma":[0.9880035,0.00038018645,0.0035801865,0.00012943387,0.00013279363,0.000042464566,0.000028329776,0.000054269727,0.007648946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997601,0.000096810545,0.000008648369,0.000029592104,0.00005346702,0.00005124172],"domain_scores_gemma":[0.9997949,0.000046311565,0.000043560696,0.000023571572,0.00003132695,0.00006042978],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065917656,0.0010140279,0.0008516338,0.001218256,0.0014909932,0.0018078559,0.0010057492,0.0014133926,0.0028326456],"category_scores_gemma":[0.0010268482,0.00028903823,0.0005990612,0.0005472753,0.0024069312,0.0024794848,0.0010451438,0.0010732373,0.0005556073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054035652,0.000034834044,0.00025130072,0.00004027109,0.000013015662,0.0005309175,0.00027903737,0.017947167,0.0047075436,0.97420985,0.00047905857,0.0014529912],"study_design_scores_gemma":[0.000048506427,0.000083557155,0.0006174821,0.000021527016,0.000022055681,0.0003053495,0.0002268202,0.17693776,0.0014528091,0.81939626,0.0008489558,0.000038985003],"about_ca_topic_score_codex":0.0015502645,"about_ca_topic_score_gemma":0.0008501987,"teacher_disagreement_score":0.0028326456,"about_ca_system_score_codex":0.00089279504,"about_ca_system_score_gemma":0.00060374016,"threshold_uncertainty_score":0.009476185},"labels":[],"label_agreement":null},{"id":"W4255167494","doi":"10.23952/asvao.2.2020.1.05","title":"Turnpike properties for the Robinson-Solow-Srinivasan model: A survey of recent results","year":2020,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Econometrics; Economics; Mathematical economics","score_opus":0.11112413474416684,"score_gpt":0.30493254693121996,"score_spread":0.19380841218705314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4255167494","genre_codex":"methods","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08119494,0.06678797,0.73313063,0.003640258,0.00034353812,0.00011484775,0.0004890681,0.00023036999,0.11406845],"genre_scores_gemma":[0.8246295,0.07594537,0.07438915,0.00077090634,0.00087892043,0.00031078566,0.00075106445,0.00024030477,0.022083942],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9996419,0.00011597816,0.000021201351,0.00007346102,0.00009643413,0.00005100229],"domain_scores_gemma":[0.9980952,0.0012811853,0.00023993525,0.0000982368,0.0001723774,0.00011291792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011672893,0.0009433787,0.0018389384,0.0011736847,0.00081932714,0.0022405002,0.00126532,0.0014801578,0.006513505],"category_scores_gemma":[0.004488355,0.00063993444,0.0014728724,0.0020192494,0.0018603941,0.004248725,0.0014594474,0.0025838641,0.00067291694],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004222319,0.00003842222,0.00029645447,0.00048529677,0.000042605596,0.00008583861,0.00011193117,0.05119825,0.00077635195,0.9269799,0.001739208,0.018203435],"study_design_scores_gemma":[0.000014974697,0.00009060011,0.0003277714,0.00017566606,0.000038934344,0.00012799312,0.00012790038,0.18811196,0.0004945704,0.8013472,0.009105044,0.000037466507],"about_ca_topic_score_codex":0.0025211868,"about_ca_topic_score_gemma":0.0017448898,"teacher_disagreement_score":0.006513505,"about_ca_system_score_codex":0.0015628643,"about_ca_system_score_gemma":0.0014169087,"threshold_uncertainty_score":0.021789849},"labels":[],"label_agreement":null},{"id":"W4285091440","doi":"10.4171/jems/1240","title":"On singularity formation for the two-dimensional unsteady Prandtl system around the axis","year":2022,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Tamkeen; York University; New York University Abu Dhabi; National Science Foundation","keywords":"Mathematics; Singularity; Prandtl number; Mathematical analysis; Geometry; Classical mechanics; Mechanics; Physics","score_opus":0.03929234346435665,"score_gpt":0.2922905519347068,"score_spread":0.25299820847035015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4285091440","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8191432,0.0012691438,0.15621644,0.0013339211,0.000113825045,0.00010262996,0.00012507007,0.00024090422,0.021454887],"genre_scores_gemma":[0.9823152,0.00043921894,0.012635158,0.00008512699,0.000058576654,0.000038272457,0.00008548544,0.000049945833,0.00429305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997993,0.000050111215,0.000012119989,0.000037032492,0.00004799358,0.000053379295],"domain_scores_gemma":[0.99936897,0.00015896778,0.00018141606,0.00004094679,0.00010224819,0.00014750373],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059320586,0.0006286974,0.0007041365,0.0013456093,0.0011927538,0.0015321691,0.00082217593,0.0010521505,0.0018944354],"category_scores_gemma":[0.0024415324,0.00030105573,0.00080612395,0.00041053045,0.0023444782,0.0012230445,0.0021322141,0.0010655442,0.00024396818],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002710947,0.00009764469,0.004347312,0.00030179258,0.000078597666,0.002215907,0.0016562603,0.22899692,0.024952658,0.7259786,0.0016455229,0.009457648],"study_design_scores_gemma":[0.00006302655,0.00012938895,0.0016501482,0.000049567865,0.000022350852,0.0004831287,0.00024076273,0.8258481,0.0020705492,0.16802736,0.0013559711,0.000059667513],"about_ca_topic_score_codex":0.003078314,"about_ca_topic_score_gemma":0.0008762705,"teacher_disagreement_score":0.003078314,"about_ca_system_score_codex":0.0008888096,"about_ca_system_score_gemma":0.00062388874,"threshold_uncertainty_score":0.0064488053},"labels":[],"label_agreement":null},{"id":"W4286928984","doi":"10.58997/ejde.2021.83","title":"Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities","year":2021,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Multiplicity (mathematics); Gravitational singularity; Invariant (physics); Mathematics; Pure mathematics; Mathematical analysis; Mathematical physics","score_opus":0.025128318255936366,"score_gpt":0.2705913969034926,"score_spread":0.24546307864755623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4286928984","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9511905,0.00017331228,0.0147092445,0.00023658366,0.00003186994,0.000028519602,0.00015564382,0.00010801159,0.033366367],"genre_scores_gemma":[0.99201375,0.0000743636,0.0046700784,0.00002783544,0.000012096764,0.000019999083,0.00015427332,0.0000140441525,0.003013727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996784,0.000042746226,0.00001598355,0.000040886644,0.00011701697,0.00010500854],"domain_scores_gemma":[0.9997565,0.000039694318,0.00007229965,0.000039333725,0.000044914184,0.00004714374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020842989,0.00037997562,0.00032845052,0.00090259797,0.0012487586,0.0011494155,0.0005682013,0.0005911227,0.004496847],"category_scores_gemma":[0.0007135695,0.00018111734,0.00040377438,0.0006822681,0.0018449102,0.00086469634,0.0012274174,0.0008284446,0.000383226],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001343931,0.000046560006,0.0019756542,0.000084319734,0.000019309622,0.001032129,0.000373275,0.014708008,0.007736352,0.96155953,0.0012863982,0.011044127],"study_design_scores_gemma":[0.00030836512,0.00015267482,0.0040506185,0.00007032911,0.0000373721,0.001686251,0.0014517454,0.097440906,0.012473524,0.86648476,0.015706658,0.00013684416],"about_ca_topic_score_codex":0.0017902888,"about_ca_topic_score_gemma":0.0020296674,"teacher_disagreement_score":0.004496847,"about_ca_system_score_codex":0.0013435513,"about_ca_system_score_gemma":0.00058910635,"threshold_uncertainty_score":0.0150434375},"labels":[],"label_agreement":null},{"id":"W4291184713","doi":"","title":"An Abel type cubic system","year":2015,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Cape Breton University","funders":"","keywords":"Type (biology); Mathematics; Mathematical analysis; Geology","score_opus":0.4816739182217534,"score_gpt":0.6135304212453664,"score_spread":0.13185650302361296,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4291184713","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90582216,0.0002457716,0.031159861,0.00087337603,0.0001669951,0.000105652056,0.00046111376,0.00027548673,0.0608895],"genre_scores_gemma":[0.9862873,0.00009317972,0.007236364,0.000073966774,0.00004861826,0.000030186126,0.00015234044,0.000029070548,0.0060488726],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996902,0.000032846772,0.00001080991,0.000047350215,0.00009956519,0.000119333614],"domain_scores_gemma":[0.9995896,0.000084264946,0.0000784479,0.000066257104,0.000077320845,0.00010407912],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026911483,0.0002132079,0.00049038156,0.0004879673,0.0017376158,0.0014736027,0.00050729676,0.00084002886,0.007834014],"category_scores_gemma":[0.0011960007,0.00018685273,0.0003880994,0.00033309392,0.0014267402,0.0011111842,0.0012499297,0.000977404,0.00044793263],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015111497,0.00004674556,0.001243616,0.00009952899,0.000015622943,0.00072700257,0.00049204146,0.024063425,0.014312685,0.95094866,0.002106216,0.0057933624],"study_design_scores_gemma":[0.00019364203,0.00021490874,0.0028649105,0.000037881116,0.000026949645,0.00073679467,0.00088271877,0.353906,0.013177556,0.6104915,0.017341353,0.00012572811],"about_ca_topic_score_codex":0.005306642,"about_ca_topic_score_gemma":0.003855523,"teacher_disagreement_score":0.007834014,"about_ca_system_score_codex":0.0015738088,"about_ca_system_score_gemma":0.0012812403,"threshold_uncertainty_score":0.026207387},"labels":[],"label_agreement":null},{"id":"W4297199277","doi":"10.1007/s12346-022-00659-x","title":"On Families QSL $$_{\\ge 2}$$ of Quadratic Systems with Invariant Lines of Total Multiplicity At Least 2","year":2022,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Invariant (physics); Multiplicity (mathematics); Quadratic equation; Mathematics; Quadratic differential; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry; Mathematical physics","score_opus":0.04861902408039832,"score_gpt":0.3335809398638794,"score_spread":0.28496191578348107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297199277","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.619393,0.006042288,0.23660383,0.0028472964,0.00019416715,0.00016444968,0.0027554643,0.0007714691,0.13122803],"genre_scores_gemma":[0.9422404,0.0028456596,0.030450135,0.0005812793,0.0004904264,0.00023777498,0.0032507863,0.00022350872,0.019680016],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842596,0.00039903377,0.00007422707,0.00033547787,0.00037477084,0.00039044383],"domain_scores_gemma":[0.99522686,0.0027121261,0.00065761624,0.00033006116,0.0006569664,0.00041646717],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011917028,0.0008444231,0.0007993261,0.0027978749,0.0025944973,0.0015470402,0.00080546626,0.00091071136,0.015977517],"category_scores_gemma":[0.0042939656,0.0005886893,0.001326748,0.0011659137,0.0030911465,0.003585907,0.0020292462,0.0016939386,0.0016363459],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015958693,0.000050900097,0.0038540754,0.0005027575,0.000042642256,0.0007647005,0.00105871,0.011388302,0.0067816265,0.9451221,0.0077942302,0.022480365],"study_design_scores_gemma":[0.00006888027,0.00017163643,0.005769522,0.00019004964,0.000033256016,0.0009585317,0.00063395145,0.06351635,0.0030238451,0.910063,0.015468618,0.00010228385],"about_ca_topic_score_codex":0.0016502095,"about_ca_topic_score_gemma":0.0012951024,"teacher_disagreement_score":0.015977517,"about_ca_system_score_codex":0.0015126113,"about_ca_system_score_gemma":0.00064890704,"threshold_uncertainty_score":0.053450167},"labels":[],"label_agreement":null},{"id":"W4299669130","doi":"10.48550/arxiv.1607.07529","title":"A bound for the index of a quadratic form after scalar extension to the\\n function field of a quadric","year":2016,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Quadric; Mathematics; Isotropy; Upper and lower bounds; Algebraic number; Diagonalizable matrix; Quadratic form (statistics); Scalar field; Scalar (mathematics); Quadratic equation; Pure mathematics; Field (mathematics); Combinatorics; Mathematical analysis; Mathematical physics; Physics; Geometry; Quantum mechanics","score_opus":0.0597080673190432,"score_gpt":0.227542147505531,"score_spread":0.16783408018648782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4299669130","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61618584,0.001959371,0.18397434,0.00268661,0.0008377525,0.00005169664,0.00028809416,0.0004356793,0.19358066],"genre_scores_gemma":[0.9626722,0.0008981767,0.019788967,0.000286164,0.0007371555,0.00006848132,0.00022103087,0.00024830987,0.015079468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987748,0.00019064611,0.00008246459,0.00026526206,0.000342149,0.0003445071],"domain_scores_gemma":[0.99652594,0.0014172607,0.00038457377,0.0005376199,0.000495124,0.00063950283],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00250156,0.00075152004,0.00090885116,0.0033277278,0.0022084771,0.0030450674,0.0016646223,0.0011603622,0.0044354536],"category_scores_gemma":[0.0050469106,0.00039338256,0.0010775133,0.000845651,0.004386252,0.0058183265,0.0031845446,0.003516872,0.0010046948],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053817916,0.00002918399,0.00071123266,0.000039590082,0.000006783989,0.00013572417,0.00026509666,0.0015496685,0.0035732652,0.9880354,0.0009056839,0.004694544],"study_design_scores_gemma":[0.000016948396,0.00008995531,0.0014800739,0.00006876478,0.000023863078,0.00027334524,0.00012423936,0.033785403,0.0064512403,0.9518354,0.005791199,0.00005958557],"about_ca_topic_score_codex":0.00073489355,"about_ca_topic_score_gemma":0.00081017416,"teacher_disagreement_score":0.0044354536,"about_ca_system_score_codex":0.0017929792,"about_ca_system_score_gemma":0.00068078074,"threshold_uncertainty_score":0.01483804},"labels":[],"label_agreement":null},{"id":"W4300538145","doi":"10.1109/cdc.2014.7040143","title":"Tautological control systems","year":2014,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Coherence (philosophical gambling strategy); Invariant (physics); Computer science; Network topology; Control (management); Theoretical computer science; Topology (electrical circuits); Control theory (sociology); Algebra over a field; Mathematics; Pure mathematics; Artificial intelligence","score_opus":0.03288481454326368,"score_gpt":0.2979175280828423,"score_spread":0.2650327135395786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4300538145","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.046093743,0.0029729763,0.7316818,0.006057345,0.00097614736,0.00009341641,0.0004082585,0.00040820005,0.21130799],"genre_scores_gemma":[0.90049654,0.0019041786,0.052244242,0.00088177103,0.00083567406,0.0002163799,0.00027750843,0.000083408515,0.043060295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932444,0.00013589759,0.00003183255,0.00019477797,0.00022548507,0.00008761623],"domain_scores_gemma":[0.9992907,0.00022340831,0.00010259855,0.00014749104,0.00017173389,0.000064039676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007992721,0.00043322123,0.00034644658,0.0006289503,0.0009929537,0.0018904526,0.0006653227,0.0008842469,0.0086453175],"category_scores_gemma":[0.0018429584,0.00014592419,0.0003349076,0.00043455718,0.0032429334,0.002195461,0.0016055844,0.0015702059,0.00087640836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000048068123,0.0000040244013,0.000033974076,0.000011508698,0.000002192271,0.000025430341,0.00006137559,0.0016572494,0.00029906357,0.9933252,0.00060004013,0.003975233],"study_design_scores_gemma":[0.000008701228,0.000017706645,0.00007703815,0.000010850934,0.0000027185865,0.000039441198,0.00004176609,0.0153164985,0.00031238145,0.97026515,0.013901823,0.0000059672366],"about_ca_topic_score_codex":0.00095446606,"about_ca_topic_score_gemma":0.00065394206,"teacher_disagreement_score":0.0086453175,"about_ca_system_score_codex":0.0014346828,"about_ca_system_score_gemma":0.000633471,"threshold_uncertainty_score":0.028921485},"labels":[],"label_agreement":null},{"id":"W4301954029","doi":"10.48550/arxiv.1411.7109","title":"Uniform positive existential interpretation of the integers in rings of\\n entire functions of positive characteristic","year":2014,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Queen's University; American Institute of Mathematics; National Science Foundation","keywords":"Transcendental number; Mathematics; Interpretation (philosophy); Entire function; Class (philosophy); Pure mathematics; Ring (chemistry); Variable (mathematics); A priori and a posteriori; Transcendental function; Rationality; Existentialism; Discrete mathematics; Mathematical analysis; Computer science","score_opus":0.03375934817602544,"score_gpt":0.2039363724633544,"score_spread":0.17017702428732895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4301954029","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6800505,0.0007206383,0.23476022,0.0029071723,0.00016953227,0.00004915838,0.0002225353,0.00022642396,0.080893844],"genre_scores_gemma":[0.98484623,0.00017160088,0.009530506,0.00014050648,0.000063632055,0.000018850023,0.000056095145,0.00002862345,0.005143865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99918336,0.0002023044,0.000043969027,0.00019572348,0.00018139032,0.00019322733],"domain_scores_gemma":[0.9989938,0.00045804528,0.00017444689,0.00014822604,0.00013221698,0.00009323196],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011973794,0.00043199747,0.00041857615,0.00078403845,0.0011748262,0.0025912689,0.00067754794,0.00060943654,0.0030359956],"category_scores_gemma":[0.003174164,0.00026088694,0.0006971635,0.0004790362,0.005703752,0.00512134,0.0027040576,0.002014807,0.00030740764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001776986,0.0000043509135,0.00031140933,0.000016815791,0.0000031004142,0.000063045656,0.00032144866,0.00043634858,0.0006885409,0.99636793,0.00017340491,0.001595679],"study_design_scores_gemma":[0.000016534525,0.000026036956,0.00046870098,0.000019560324,0.000018108605,0.00019085637,0.0004378091,0.0053130533,0.0026092588,0.9862024,0.004678261,0.000019485033],"about_ca_topic_score_codex":0.0005238441,"about_ca_topic_score_gemma":0.00042740157,"teacher_disagreement_score":0.0030359956,"about_ca_system_score_codex":0.0012384375,"about_ca_system_score_gemma":0.0005207386,"threshold_uncertainty_score":0.010156393},"labels":[],"label_agreement":null},{"id":"W4308731563","doi":"10.1142/s0219061322500313","title":"The degree of nonminimality is at most 2","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematical Logic","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Extension (predicate logic); Rank (graph theory); Zero (linguistics); Degree (music); Field (mathematics); Combinatorics; Type (biology); Discrete mathematics; Pure mathematics; Physics; Computer science","score_opus":0.13407451674912912,"score_gpt":0.3405369963680814,"score_spread":0.20646247961895225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4308731563","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7224291,0.0014242296,0.09960357,0.007168966,0.0007828229,0.00015348189,0.0010754202,0.000999418,0.16636308],"genre_scores_gemma":[0.98236644,0.0002059946,0.005704471,0.00019105551,0.00023992796,0.000042237425,0.00018963797,0.000064926855,0.010995147],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99696356,0.00049216894,0.00029042616,0.000879802,0.00067975617,0.0006941978],"domain_scores_gemma":[0.9933333,0.0028891494,0.00078813575,0.0012927538,0.00095945434,0.0007372084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023204696,0.0006905955,0.0010530504,0.001057558,0.0025631494,0.0042604716,0.0016145087,0.0010778824,0.012655669],"category_scores_gemma":[0.0063206144,0.00064311625,0.000899467,0.0007129992,0.0045426865,0.010488136,0.004520275,0.0029530665,0.0016189367],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004485329,0.000089921916,0.0042584827,0.00024835058,0.00004312119,0.0004927369,0.0011057915,0.001035172,0.006302399,0.96199656,0.0017567775,0.022222072],"study_design_scores_gemma":[0.000045964403,0.00013761084,0.002109739,0.00004956958,0.00003940019,0.0014848427,0.0004105923,0.002367967,0.007351356,0.96130556,0.024620585,0.00007681361],"about_ca_topic_score_codex":0.000280635,"about_ca_topic_score_gemma":0.00039796584,"teacher_disagreement_score":0.012655669,"about_ca_system_score_codex":0.0016449819,"about_ca_system_score_gemma":0.0010985725,"threshold_uncertainty_score":0.042337477},"labels":[],"label_agreement":null},{"id":"W4309642513","doi":"10.48550/arxiv.math/0212334","title":"Lectures on meromorphic flat connections","year":2002,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Meromorphic function; Integrable system; Gravitational singularity; Mathematics; Focus (optics); Abelian group; Logarithm; Pure mathematics; Differential (mechanical device); Algebra over a field; Calculus (dental); Mathematical analysis; Physics","score_opus":0.17729666032857058,"score_gpt":0.22987508391225958,"score_spread":0.052578423583689,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4309642513","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020729322,0.023678528,0.013156632,0.02425723,0.019931363,0.000056751393,0.003862797,0.0008159192,0.8935115],"genre_scores_gemma":[0.14162287,0.011700808,0.0043159323,0.0016960741,0.0077579212,0.000046932848,0.0018864112,0.00026418202,0.83070886],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984384,0.000018555069,0.000004242417,0.000033667526,0.00006388578,0.000035685218],"domain_scores_gemma":[0.9997516,0.000032311036,0.000013343423,0.000028803439,0.000058670375,0.00011527828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033275716,0.001037014,0.00038032644,0.0008956497,0.00092924945,0.0012896936,0.0004343969,0.00049593835,0.055692848],"category_scores_gemma":[0.000583487,0.00021613254,0.0003290821,0.0009495748,0.0006208778,0.0009040263,0.00072889426,0.0011172901,0.008073405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035298228,0.000036497542,0.00044599385,0.00012844965,0.000013455522,0.00020798626,0.00036299677,0.000831349,0.0033593078,0.45461106,0.49010488,0.049862675],"study_design_scores_gemma":[0.000013196798,0.000041606614,0.0032483833,0.00011930565,0.000009922611,0.00023902478,0.00012043314,0.0010467521,0.00071032526,0.13977817,0.85465497,0.000017764449],"about_ca_topic_score_codex":0.010000273,"about_ca_topic_score_gemma":0.017735917,"teacher_disagreement_score":0.055692848,"about_ca_system_score_codex":0.002777254,"about_ca_system_score_gemma":0.0011804838,"threshold_uncertainty_score":0.18631113},"labels":[],"label_agreement":null},{"id":"W4320039064","doi":"10.1016/j.cnsns.2023.107167","title":"Complete classification on center of cubic planar systems symmetric with respect to a straight line","year":2023,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Center (category theory); Singular point of a curve; Mathematics; Planar; Line (geometry); Mathematical analysis; Pure mathematics; Nilpotent; Singular solution; Combinatorics; Geometry; Computer science","score_opus":0.15975960896417685,"score_gpt":0.4018139067779362,"score_spread":0.24205429781375937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4320039064","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58050305,0.003498753,0.20300794,0.0021936898,0.0012148032,0.00032636154,0.0037631195,0.0012307045,0.20426153],"genre_scores_gemma":[0.9139716,0.0020285263,0.031728465,0.00074232003,0.0011911077,0.00019423707,0.005126568,0.0005304262,0.044486716],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955934,0.000046398203,0.000026664811,0.00008435293,0.00017463787,0.0001085391],"domain_scores_gemma":[0.9987112,0.0002847832,0.0002656996,0.00015951048,0.0003657937,0.00021301242],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030922593,0.00091751805,0.0010930039,0.0026159936,0.0015665918,0.0025901587,0.0015108046,0.0013950918,0.016232839],"category_scores_gemma":[0.0018565906,0.00046603597,0.0009583397,0.0016022765,0.0017473724,0.0020916178,0.0018073863,0.0019865402,0.0025502197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010547382,0.00004171051,0.0007186217,0.00022517888,0.00001767285,0.00014234764,0.0002947251,0.004130158,0.003009526,0.94533515,0.017135233,0.028844263],"study_design_scores_gemma":[0.00006209753,0.00009291394,0.0015635315,0.00006297391,0.000021167352,0.0004630959,0.00023269562,0.033499073,0.0019588405,0.9351544,0.026834633,0.00005470491],"about_ca_topic_score_codex":0.0021699572,"about_ca_topic_score_gemma":0.0013992384,"teacher_disagreement_score":0.016232839,"about_ca_system_score_codex":0.0010876484,"about_ca_system_score_gemma":0.0010725453,"threshold_uncertainty_score":0.0543043},"labels":[],"label_agreement":null},{"id":"W4322749819","doi":"10.1512/iumj.2023.72.9335","title":"A central limit theorem for the degree of a random product of Cremona transformations","year":2023,"lang":"en","type":"article","venue":"Indiana University Mathematics Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Mathematics; Central limit theorem; Degree (music); Product (mathematics); Limit (mathematics); Pure mathematics; Mathematical analysis; Geometry; Statistics; Physics","score_opus":0.08560569341308183,"score_gpt":0.27869659678613506,"score_spread":0.19309090337305324,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4322749819","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19746399,0.0014110183,0.7501575,0.0025901613,0.00046016363,0.00013457425,0.00025003884,0.00031422192,0.047218323],"genre_scores_gemma":[0.9393356,0.0008194662,0.043577157,0.0007315879,0.0007011646,0.00035224523,0.0001455429,0.00020687906,0.014130213],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968059,0.0007599323,0.00013835661,0.0009212012,0.000881078,0.00049351936],"domain_scores_gemma":[0.9841165,0.008534061,0.0015352129,0.0012959889,0.002617076,0.0019011401],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0057926625,0.0009382407,0.0016737195,0.0035967422,0.0023562529,0.004560716,0.0021233237,0.0014257134,0.0084641995],"category_scores_gemma":[0.019989047,0.0006857145,0.002281267,0.0016303057,0.008366532,0.008850434,0.0057212207,0.004818134,0.0010357014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014008456,0.000014355366,0.00021171197,0.000023758093,0.000011310721,0.000044061344,0.000099630124,0.00080817816,0.0008082463,0.99655896,0.00020715984,0.0011985755],"study_design_scores_gemma":[0.00002681972,0.00005344915,0.0003571939,0.000020548337,0.000018644194,0.00022824042,0.00007349588,0.025235998,0.0018672283,0.97011346,0.0019706765,0.000034174423],"about_ca_topic_score_codex":0.0010954723,"about_ca_topic_score_gemma":0.00071364635,"teacher_disagreement_score":0.0084641995,"about_ca_system_score_codex":0.0025329778,"about_ca_system_score_gemma":0.001357104,"threshold_uncertainty_score":0.03063488},"labels":[],"label_agreement":null},{"id":"W4380482421","doi":"10.4153/s0008439523000498","title":"On tame -extensions with prescribed ramification","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Cardinality (data modeling); Extension (predicate logic); Norm (philosophy); Ramification; Field (mathematics); Discrete mathematics; Combinatorics; Pure mathematics; Law","score_opus":0.038410817423525916,"score_gpt":0.2795839280796312,"score_spread":0.2411731106561053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380482421","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9300644,0.00043456393,0.039935376,0.0002780623,0.00003592765,0.000029456003,0.00012259065,0.00010545191,0.028994223],"genre_scores_gemma":[0.99364203,0.00010178963,0.0033035323,0.000043551972,0.000037673337,0.000022129574,0.000055369303,0.0000126052755,0.0027814126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928254,0.00013472371,0.0000405657,0.00019325776,0.00019795756,0.00015091317],"domain_scores_gemma":[0.99830073,0.0005887677,0.00027164535,0.00031461622,0.00017142425,0.00035289858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012351813,0.00040693235,0.00072319154,0.0017271264,0.0011165693,0.0015441446,0.0005217196,0.00053088914,0.0024754438],"category_scores_gemma":[0.0031046886,0.000261898,0.0005556521,0.00057947804,0.0035689992,0.003076987,0.0021621378,0.0012911113,0.0002683807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067695735,0.000023961926,0.0009315273,0.000026835725,0.000007900599,0.0001988186,0.00048716812,0.0014036684,0.0027342278,0.99164224,0.00014120794,0.0023346855],"study_design_scores_gemma":[0.00004069627,0.0000855297,0.0018955815,0.00003117626,0.000017027376,0.00042843472,0.00031148398,0.013053867,0.0050868937,0.9746826,0.004335617,0.000031063748],"about_ca_topic_score_codex":0.00055445405,"about_ca_topic_score_gemma":0.00040919147,"teacher_disagreement_score":0.0024754438,"about_ca_system_score_codex":0.0012531112,"about_ca_system_score_gemma":0.0002829549,"threshold_uncertainty_score":0.009092033},"labels":[],"label_agreement":null},{"id":"W4383033361","doi":"10.26493/2590-9770.1613.15d","title":"Automorphisms of the canonical double cover of a toroidal grid","year":2023,"lang":"en","type":"article","venue":"The Art of Discrete and Applied Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Diagonal; Conjecture; Mathematics; Torus; Automorphism; Combinatorics; Bipartite graph; Toroid; Embedding; Cartesian product; Pure mathematics; Geometry; Physics; Quantum mechanics; Computer science","score_opus":0.03362200585539305,"score_gpt":0.2901233288829236,"score_spread":0.25650132302753054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383033361","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93987614,0.00014319265,0.028103132,0.0001603703,0.0000980526,0.000029579445,0.00011675257,0.00012056054,0.03135223],"genre_scores_gemma":[0.9926029,0.00006595476,0.003280067,0.000025832023,0.000019047939,0.000021852384,0.00009962045,0.000022422542,0.0038623544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997693,0.000032880336,0.000015155298,0.00005749837,0.000055105967,0.000070145325],"domain_scores_gemma":[0.9996669,0.00006277191,0.00006541997,0.00007155956,0.000053024603,0.00008023651],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013438081,0.00017342305,0.00019044163,0.00039145676,0.00096583966,0.000965998,0.00022966212,0.0002560975,0.0028043545],"category_scores_gemma":[0.00074759393,0.00015422597,0.00029809854,0.00023613783,0.0011322377,0.0006023869,0.0007659661,0.00038271764,0.00037151415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027702225,0.000027100006,0.003967911,0.00006029475,0.000017821023,0.0008742114,0.0012897982,0.01194703,0.024954842,0.9360518,0.0020301498,0.018502053],"study_design_scores_gemma":[0.00009912864,0.0002090119,0.0066082273,0.000039043738,0.000032797827,0.0011895853,0.0011674324,0.083084024,0.0242319,0.852584,0.030694617,0.00006039893],"about_ca_topic_score_codex":0.0021995092,"about_ca_topic_score_gemma":0.0012785249,"teacher_disagreement_score":0.0028043545,"about_ca_system_score_codex":0.00059520674,"about_ca_system_score_gemma":0.00025327707,"threshold_uncertainty_score":0.009381533},"labels":[],"label_agreement":null},{"id":"W4383567959","doi":"10.1007/978-3-031-28847-0","title":"Algebraic, Number Theoretic, and Topological Aspects of Ring Theory","year":2023,"lang":"en","type":"book","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Karl-Franzens-Universität Graz; Austrian Science Fund; TU Graz, Internationale Beziehungen und Mobilitätsprogramme","keywords":"Mathematics; Algebraic number; Ring (chemistry); Pure mathematics; Algebra over a field; Topology (electrical circuits); Ring theory; Algebraic topology; Polynomial ring; Combinatorics; Polynomial; Mathematical analysis","score_opus":0.03311301087832119,"score_gpt":0.30965763018124487,"score_spread":0.2765446193029237,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383567959","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0015024709,0.06194889,0.0063879285,0.0034232738,0.006937156,0.000024695226,0.00052074314,0.00033038447,0.9189245],"genre_scores_gemma":[0.0118413875,0.03246256,0.0031916862,0.0006713956,0.0033177496,0.000027969403,0.00045938086,0.00014344287,0.9478845],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998136,0.000026594584,0.0000069888706,0.00002271603,0.000113316935,0.00001676743],"domain_scores_gemma":[0.99970007,0.00011833613,0.000017191269,0.00003378471,0.00008367642,0.000047000525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016933969,0.00049923157,0.00042655782,0.0015778345,0.0010450379,0.0039061867,0.00042227836,0.0003274004,0.046967257],"category_scores_gemma":[0.000689789,0.0002221832,0.00028137633,0.002369101,0.0009570262,0.0031798298,0.00076274545,0.0015460477,0.014320463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019185774,0.000022534752,0.00010601228,0.0002224881,0.000005836907,0.000055707864,0.00027449362,0.00051885523,0.00084746315,0.34812692,0.5632811,0.08651936],"study_design_scores_gemma":[0.000001913179,0.000006775406,0.00026217903,0.000075674514,0.0000031439438,0.00010606972,0.00006351272,0.00023047016,0.00012203894,0.05215857,0.9469652,0.000004398774],"about_ca_topic_score_codex":0.0013465566,"about_ca_topic_score_gemma":0.0035267484,"teacher_disagreement_score":0.046967257,"about_ca_system_score_codex":0.0012505191,"about_ca_system_score_gemma":0.0011505998,"threshold_uncertainty_score":0.15712118},"labels":[],"label_agreement":null},{"id":"W4385319364","doi":"10.4310/amsa.2023.v8.n2.a3","title":"Invariant subspaces in the dual of $A_{cb}(G)$ and $A_M (G)$","year":2023,"lang":"en","type":"article","venue":"Annals of Mathematical Sciences and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Linear subspace; Invariant (physics); Dual (grammatical number); Mathematics; Pure mathematics; Combinatorics; Philosophy; Mathematical physics","score_opus":0.18757294631139368,"score_gpt":0.4156012735755923,"score_spread":0.2280283272641986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385319364","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6243489,0.0013000495,0.11342732,0.0038697328,0.00085326965,0.00011220992,0.0012624714,0.0004273882,0.25439867],"genre_scores_gemma":[0.9482447,0.0004122195,0.014920493,0.00075319444,0.0004965412,0.00012132396,0.0009307595,0.00018838806,0.033932354],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994129,0.00012240392,0.000020061318,0.0001233797,0.00013317085,0.00018809926],"domain_scores_gemma":[0.9988809,0.00018049759,0.0002270808,0.000057762783,0.00026694188,0.00038673714],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004822826,0.00061048236,0.0005804368,0.0028122573,0.0020262888,0.003326645,0.0009085697,0.0009583694,0.01058216],"category_scores_gemma":[0.0011286663,0.00027139232,0.0005809424,0.0010655142,0.00279684,0.0028873838,0.0019603288,0.0025638982,0.0011773239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025496003,0.000021605802,0.000080773454,0.000008299884,0.0000035330831,0.000028814042,0.00009534182,0.00014593036,0.00044664554,0.99648845,0.0008526265,0.0018024378],"study_design_scores_gemma":[0.000021588585,0.000022872131,0.0005001649,0.000009880177,0.0000036648214,0.000079352845,0.00015236395,0.0025700002,0.0003800807,0.9931717,0.0030767033,0.000011658547],"about_ca_topic_score_codex":0.0018252408,"about_ca_topic_score_gemma":0.0012918056,"teacher_disagreement_score":0.01058216,"about_ca_system_score_codex":0.0013047465,"about_ca_system_score_gemma":0.0007672913,"threshold_uncertainty_score":0.035400808},"labels":[],"label_agreement":null},{"id":"W4386135829","doi":"10.56415/basm.y2023.i1.p42","title":"The bifurcation diagram of the configurations of invariant lines of total multiplicity exactly three in quadratic vector fields","year":2023,"lang":"en","type":"article","venue":"Buletinul Academiei de Ştiinţe a Republicii Moldova Matematica","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Multiplicity (mathematics); Invariant (physics); Bifurcation diagram; Quadratic equation; Mathematics; Bifurcation; Diagram; Physics; Combinatorics; Pure mathematics; Mathematical analysis; Geometry; Mathematical physics; Quantum mechanics; Statistics; Nonlinear system","score_opus":0.04090629609386009,"score_gpt":0.31371265693547296,"score_spread":0.27280636084161286,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386135829","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8517123,0.00049120694,0.06925183,0.0005139823,0.000095317024,0.000068694164,0.00045888446,0.00049311115,0.07691464],"genre_scores_gemma":[0.9861156,0.00013718118,0.009705299,0.000052893,0.000019285293,0.000053670537,0.00020407158,0.000054463035,0.0036575948],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999845,0.000032154814,0.000008757936,0.0000298479,0.000037492464,0.00004668011],"domain_scores_gemma":[0.9998252,0.000044236243,0.00004803883,0.000013289174,0.000031417534,0.000037883987],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018688428,0.00028569356,0.00022776409,0.0014722779,0.00061442796,0.0008492946,0.0003518253,0.00048116213,0.008083137],"category_scores_gemma":[0.0004828007,0.00015419257,0.00031848773,0.00037920213,0.0011164997,0.0008300949,0.0005645351,0.0005082752,0.0007992598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015343034,0.000043797507,0.0025447933,0.00011313762,0.000018730829,0.00059493905,0.00050976983,0.015704166,0.021327179,0.93370837,0.0026258654,0.022655856],"study_design_scores_gemma":[0.00008704993,0.00014833754,0.0049808836,0.00010510113,0.000019691573,0.0006985935,0.00048119033,0.11625842,0.011798935,0.85739434,0.007940387,0.00008713647],"about_ca_topic_score_codex":0.0007985495,"about_ca_topic_score_gemma":0.00057560496,"teacher_disagreement_score":0.008083137,"about_ca_system_score_codex":0.00080566277,"about_ca_system_score_gemma":0.00028693397,"threshold_uncertainty_score":0.02704078},"labels":[],"label_agreement":null},{"id":"W4386373872","doi":"10.1088/1361-6544/acecf5","title":"Convex computation of maximal Lyapunov exponents","year":2023,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Infimum and supremum; Lyapunov exponent; Upper and lower bounds; Ode; Polynomial; Applied mathematics; Discrete mathematics; Lyapunov function; Combinatorics; Mathematical analysis; Chaotic; Nonlinear system","score_opus":0.11226134331941828,"score_gpt":0.3869765996923422,"score_spread":0.27471525637292393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386373872","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03989315,0.00018480951,0.95369804,0.00019485108,0.000027402499,0.000030556672,0.00006676514,0.00016671742,0.005737643],"genre_scores_gemma":[0.83071685,0.00020299785,0.16507168,0.00006556799,0.000044436234,0.00010869527,0.00019038485,0.00023547781,0.0033638908],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993575,0.00021594478,0.000038011716,0.00010907341,0.00018590127,0.00009358692],"domain_scores_gemma":[0.9959603,0.0030010797,0.00026848615,0.0002829142,0.0003524129,0.00013485906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019741058,0.0010532486,0.0011719442,0.0010056554,0.000503613,0.001450146,0.0008644999,0.00068522774,0.0032064603],"category_scores_gemma":[0.012340155,0.00051763427,0.00065561885,0.0004936104,0.0017697942,0.0015824971,0.0016359183,0.0017035162,0.00033108666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007245677,0.000014199846,0.00038351127,0.00008047324,0.000024522249,0.00006422566,0.00008243442,0.92609936,0.0030649889,0.05959892,0.00045145684,0.010063479],"study_design_scores_gemma":[0.000003167332,0.000011165512,0.00007634267,0.000011153028,0.0000023075265,0.0000058728624,0.000008225586,0.98336065,0.0012423446,0.014972595,0.00030103428,0.000005144643],"about_ca_topic_score_codex":0.0020305812,"about_ca_topic_score_gemma":0.0016835115,"teacher_disagreement_score":0.0032064603,"about_ca_system_score_codex":0.0014958441,"about_ca_system_score_gemma":0.0009837521,"threshold_uncertainty_score":0.010853112},"labels":[],"label_agreement":null},{"id":"W4386549372","doi":"10.14232/ejqtde.2023.1.40","title":"The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type <a:math xmlns:a=\"http://www.w3.org/1998/Math/MathML\"> <a:mo stretchy=\"false\">(</a:mo> <a:mn>3</a:mn> <a:mo>,</a:mo> <a:mn>1</a:mn> <a:mo>,</a:mo> <a:mn>1</a:mn> <a:mo>,</a:mo> <a:mn>1</a:mn> <a:mo stretchy=\"false\">)</a:mo></a:math>","year":2023,"lang":"en","type":"article","venue":"Electronic journal of qualitative theory of differential equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Gravitational singularity; Invariant (physics); Type (biology); Pure mathematics; Mathematical analysis; Mathematical physics","score_opus":0.06153237883403381,"score_gpt":0.3365267639043158,"score_spread":0.27499438507028195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386549372","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62116396,0.0017313702,0.06414241,0.0026015348,0.00046763694,0.00010154364,0.0011462106,0.0004626523,0.30818266],"genre_scores_gemma":[0.9416723,0.0006436555,0.009872518,0.0002815005,0.00014085816,0.00005151888,0.000617475,0.00007996091,0.04664017],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977523,0.0000245329,0.000008438679,0.000049393904,0.00009022331,0.000052203108],"domain_scores_gemma":[0.99966455,0.00006816228,0.00005703667,0.000042725012,0.00010072185,0.00006683268],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017793811,0.00030334105,0.00023120666,0.0008343959,0.0015122901,0.0011530437,0.0003812534,0.00051651103,0.008751616],"category_scores_gemma":[0.00087681884,0.00017200742,0.0003580178,0.0006016636,0.0013354168,0.00084025064,0.00071758,0.0008774896,0.0008528108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005946535,0.000020094041,0.0011769801,0.00012070415,0.0000120668865,0.00065615476,0.00040810503,0.003532712,0.0023044934,0.9661391,0.0073595922,0.018210689],"study_design_scores_gemma":[0.00009226339,0.00007733754,0.003827793,0.000079591715,0.000023207018,0.0026395314,0.00068639376,0.05755009,0.003273042,0.85463595,0.0770413,0.00007348166],"about_ca_topic_score_codex":0.0059719854,"about_ca_topic_score_gemma":0.004087528,"teacher_disagreement_score":0.008751616,"about_ca_system_score_codex":0.0015913987,"about_ca_system_score_gemma":0.00096286414,"threshold_uncertainty_score":0.029277027},"labels":[],"label_agreement":null},{"id":"W4386963955","doi":"10.1007/s12346-023-00863-3","title":"A Complete Classification on the Center-Focus Problem of a Generalized Cubic Kukles System with a Nilpotent Singular Point","year":2023,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Singular point of a curve; Mathematics; Nilpotent; Center (category theory); Limit (mathematics); Focus (optics); Cubic form; Mathematical analysis; Point (geometry); Singular solution; Multi point; Amplitude; Pure mathematics; Geometry; Applied mathematics; Physics","score_opus":0.1054556695517717,"score_gpt":0.3481414810653716,"score_spread":0.24268581151359991,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386963955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5702487,0.0035208776,0.25601524,0.0072558294,0.0008356208,0.00019727433,0.001233302,0.00034092157,0.1603523],"genre_scores_gemma":[0.92256725,0.0018105637,0.030884929,0.0006371759,0.00085967244,0.00016737409,0.0014173271,0.0001775087,0.041478205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997003,0.00004622864,0.000017705885,0.000058482576,0.000110669695,0.00006655965],"domain_scores_gemma":[0.9993655,0.00020954119,0.000090568334,0.000059934675,0.00013460555,0.00013982847],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048054752,0.00068688556,0.0012141614,0.0015861841,0.0021629292,0.0024278783,0.0013343443,0.0023597314,0.010849841],"category_scores_gemma":[0.0016571932,0.00035927174,0.001015624,0.0009943723,0.002247336,0.0034693368,0.0021996568,0.002128904,0.00070549396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028174776,0.000019024124,0.0002133194,0.000112689966,0.00001096574,0.00010304155,0.00017365352,0.0037576582,0.0006215872,0.9863608,0.0031077364,0.005491447],"study_design_scores_gemma":[0.0000227199,0.00002139638,0.0003373096,0.00002764554,0.000007706759,0.00011759774,0.0001699082,0.025125954,0.0003108964,0.9698435,0.003994855,0.000020546067],"about_ca_topic_score_codex":0.0025786757,"about_ca_topic_score_gemma":0.0014509492,"teacher_disagreement_score":0.010849841,"about_ca_system_score_codex":0.0012534132,"about_ca_system_score_gemma":0.0012385241,"threshold_uncertainty_score":0.036296308},"labels":[],"label_agreement":null},{"id":"W4387093061","doi":"10.1090/bproc/188","title":"Dynamically improper hypersurfaces for endomorphisms of projective space","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Endomorphism; Hypersurface; Generalization; Mathematics; Pure mathematics; Projective test; Projective space; Space (punctuation); Point (geometry); Mathematical analysis; Computer science; Geometry","score_opus":0.026469312862393745,"score_gpt":0.2948895420638931,"score_spread":0.2684202292014994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387093061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7885223,0.0010927097,0.111624464,0.0020263277,0.00023160534,0.00005953843,0.00020202555,0.00014418521,0.096096754],"genre_scores_gemma":[0.980141,0.00055804366,0.009800974,0.00012301741,0.00019719075,0.000038263865,0.00009905563,0.0000346512,0.009007781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972886,0.000049544746,0.000017108478,0.000055953085,0.000090331916,0.000058140846],"domain_scores_gemma":[0.9996105,0.00009247176,0.00007245197,0.000079806996,0.000047822843,0.000096983356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004703292,0.0004415584,0.00031436153,0.0012439585,0.0011957205,0.0022869098,0.00044443968,0.00071547343,0.003367672],"category_scores_gemma":[0.0010364767,0.0002281675,0.00036793243,0.0005384527,0.003164154,0.005687773,0.0020905023,0.001932224,0.00028693667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003954646,0.000004103978,0.00021649392,0.0000058114297,0.0000011476586,0.00009471377,0.00014393863,0.00016778965,0.00086894556,0.99725455,0.00014680304,0.0010916018],"study_design_scores_gemma":[0.000008579968,0.000022677217,0.0009037225,0.000012758855,0.0000036553652,0.00040848742,0.00028894268,0.0047827964,0.0010392066,0.9866284,0.00588866,0.000012084392],"about_ca_topic_score_codex":0.0003160582,"about_ca_topic_score_gemma":0.00029272435,"teacher_disagreement_score":0.003367672,"about_ca_system_score_codex":0.0007344192,"about_ca_system_score_gemma":0.00028480915,"threshold_uncertainty_score":0.0112659335},"labels":[],"label_agreement":null},{"id":"W4387761402","doi":"10.1016/j.jde.2023.10.004","title":"Nilpotent center conditions in cubic switching polynomial Liénard systems by higher-order analysis","year":2023,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Basic and Applied Basic Research Foundation of Guangdong Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Nilpotent; Center (category theory); Bifurcation; Polynomial; Limit (mathematics); Limit cycle; Order (exchange); Pure mathematics; Center manifold; Lyapunov function; Discrete mathematics; Mathematical analysis; Hopf bifurcation","score_opus":0.03604806630192251,"score_gpt":0.33047935573357795,"score_spread":0.2944312894316554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387761402","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5592928,0.0010638911,0.2750719,0.0031457846,0.0008567704,0.0002104081,0.00035769425,0.00054504216,0.15945575],"genre_scores_gemma":[0.96832186,0.0003364576,0.012853564,0.00036160252,0.000434585,0.000079265956,0.00019876592,0.00020844917,0.0172054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965453,0.00008327339,0.000014512787,0.00004288812,0.00010137643,0.000103349776],"domain_scores_gemma":[0.99895585,0.00026455874,0.00013757627,0.00008894985,0.0002690021,0.00028412286],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079590245,0.0006198251,0.001583535,0.0019542824,0.0020540983,0.0028637024,0.0014392163,0.0013055948,0.009349312],"category_scores_gemma":[0.0030757438,0.0003847877,0.0009978699,0.00068260764,0.0029976019,0.003526093,0.0020903759,0.0025395863,0.00077418756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028317338,0.000028544307,0.00013268848,0.000021295938,0.0000063313423,0.00006242736,0.00008057571,0.0063449224,0.00048480378,0.9903916,0.0009702862,0.001448186],"study_design_scores_gemma":[0.000028782912,0.00001989303,0.00017537591,0.000008207049,0.0000055863443,0.00003869513,0.00009238622,0.12430851,0.000279099,0.87411153,0.0009107007,0.00002118216],"about_ca_topic_score_codex":0.0045891213,"about_ca_topic_score_gemma":0.004734578,"teacher_disagreement_score":0.009349312,"about_ca_system_score_codex":0.0021030677,"about_ca_system_score_gemma":0.0020609128,"threshold_uncertainty_score":0.031276584},"labels":[],"label_agreement":null},{"id":"W4388320462","doi":"10.1093/oso/9780198534938.003.0010","title":"Number of zeros in an interval","year":2002,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Interval (graph theory); Mathematics; Degree (music); Polynomial; Combinatorics; Discrete mathematics; Mathematical analysis; Physics","score_opus":0.07355845464667544,"score_gpt":0.33513815977640454,"score_spread":0.2615797051297291,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388320462","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87215704,0.0007668824,0.059356034,0.0005389561,0.00019443058,0.00002906323,0.00060088217,0.0002561603,0.066100635],"genre_scores_gemma":[0.98714674,0.00017179255,0.0067023006,0.00002363575,0.00007908907,0.000026623222,0.00022554456,0.000033276265,0.0055909157],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962914,0.00007054643,0.00002711737,0.00008533604,0.00012715845,0.000060666418],"domain_scores_gemma":[0.99718803,0.0015893826,0.00033803235,0.00016566225,0.00039644048,0.0003223625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005586487,0.00033598518,0.0004196957,0.0021522727,0.0007321889,0.0019928995,0.00069546775,0.00054094556,0.007927959],"category_scores_gemma":[0.0053425613,0.00021386103,0.00021141979,0.00085930584,0.0011879693,0.0016018602,0.0008137468,0.00066201284,0.0007425942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012080395,0.00012521238,0.014163005,0.00040052753,0.00006883093,0.0011582356,0.00071791944,0.015991157,0.034382578,0.8710229,0.005925259,0.054836288],"study_design_scores_gemma":[0.00022027036,0.00035178364,0.012721613,0.00022480359,0.00009763631,0.0029846367,0.00073858665,0.110970005,0.024143768,0.8249733,0.022457054,0.00011663279],"about_ca_topic_score_codex":0.00019840806,"about_ca_topic_score_gemma":0.00009434441,"teacher_disagreement_score":0.007927959,"about_ca_system_score_codex":0.00050322234,"about_ca_system_score_gemma":0.0001544417,"threshold_uncertainty_score":0.026521623},"labels":[],"label_agreement":null},{"id":"W4388320491","doi":"10.1093/oso/9780198534938.003.0002","title":"Fundamental results on critical points","year":2002,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Polynomial; Simple (philosophy); Critical point (mathematics); Zero (linguistics); Set (abstract data type); Discrete mathematics; Pure mathematics; Mathematical analysis; Computer science","score_opus":0.09541281297620073,"score_gpt":0.33788316950991026,"score_spread":0.24247035653370952,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388320491","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07482624,0.009052149,0.10778219,0.0047150953,0.001284806,0.000081041246,0.00045384062,0.0003086079,0.80149597],"genre_scores_gemma":[0.8966151,0.007189407,0.01879868,0.0011919745,0.0028082083,0.00016471531,0.00046414495,0.0002163049,0.072551504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996394,0.00005359232,0.0000129135315,0.00008906641,0.00013978867,0.00006530902],"domain_scores_gemma":[0.9992888,0.00026046147,0.00005934393,0.00007493532,0.00020670917,0.00010972527],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000609228,0.0006110581,0.00059528137,0.002207351,0.0013715246,0.0021023892,0.0007799285,0.0009696504,0.010400478],"category_scores_gemma":[0.0020718952,0.00024313384,0.00046092874,0.001163193,0.0035276785,0.0030509154,0.0018749591,0.00248646,0.0018545681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000062634485,0.0000048721204,0.000042341002,0.000030872405,0.0000020085236,0.000021517048,0.00011994724,0.00023872926,0.00026187766,0.99266475,0.002508228,0.0040985863],"study_design_scores_gemma":[0.000006530539,0.000007855405,0.000067216,0.00002228322,0.000001980319,0.000052976855,0.000053626125,0.0006215696,0.00018659611,0.9822205,0.016756369,0.0000026502955],"about_ca_topic_score_codex":0.0006829821,"about_ca_topic_score_gemma":0.00034100216,"teacher_disagreement_score":0.010400478,"about_ca_system_score_codex":0.001695649,"about_ca_system_score_gemma":0.00066676555,"threshold_uncertainty_score":0.03479308},"labels":[],"label_agreement":null},{"id":"W4388320497","doi":"10.1093/oso/9780198534938.003.0005","title":"Applications to compositions of polynomials","year":2002,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Scope (computer science); Polynomial; Mathematics; Pure mathematics; Computer science; Mathematical analysis","score_opus":0.06408528778336413,"score_gpt":0.3213589163602259,"score_spread":0.25727362857686176,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388320497","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.027057508,0.008768156,0.3841333,0.0021475141,0.0033115724,0.00010749456,0.00019417824,0.0008314014,0.5734488],"genre_scores_gemma":[0.4610271,0.011601312,0.27763966,0.0012826981,0.0028400016,0.0001744114,0.00040392112,0.00095728104,0.2440737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923456,0.00022015645,0.00004086093,0.00017241528,0.00025605268,0.000075971504],"domain_scores_gemma":[0.9994448,0.00025075956,0.00003456176,0.000078552104,0.0001332911,0.000058056794],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007294161,0.00078886334,0.00054971833,0.0011431146,0.0016502952,0.0022053197,0.0006209435,0.0006137558,0.02040811],"category_scores_gemma":[0.0025300027,0.000378986,0.00085702847,0.0011224118,0.0023178183,0.0026819715,0.0026093817,0.0023899851,0.0043719322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028629916,0.000011381267,0.00009211019,0.00010074415,0.000006163105,0.00019282385,0.00042376545,0.0011382706,0.0015835977,0.95617735,0.004155221,0.036089875],"study_design_scores_gemma":[0.000008688811,0.000024283514,0.000091867456,0.00006404922,0.000007786194,0.00036453942,0.00015579593,0.0050811362,0.0020247535,0.8478351,0.1443309,0.0000110896135],"about_ca_topic_score_codex":0.0007994366,"about_ca_topic_score_gemma":0.0011960462,"teacher_disagreement_score":0.02040811,"about_ca_system_score_codex":0.0014001495,"about_ca_system_score_gemma":0.00048860314,"threshold_uncertainty_score":0.068271995},"labels":[],"label_agreement":null},{"id":"W4388320512","doi":"10.1093/oso/9780198534938.003.0011","title":"Number of zeros in a domain","year":2002,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Domain (mathematical analysis); Bounded function; Polynomial; Zero (linguistics); Mathematical proof; Boundary (topology); Simply connected space; Cauchy distribution; Interval (graph theory); Path (computing); Discrete mathematics; Complex plane; Pure mathematics; Mathematical analysis; Combinatorics; Geometry; Computer science","score_opus":0.045445877308071196,"score_gpt":0.3041317329239973,"score_spread":0.2586858556159261,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388320512","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74518615,0.0019870736,0.16456723,0.00095633423,0.00027956913,0.000062005274,0.00031160924,0.0002284459,0.086421564],"genre_scores_gemma":[0.94691265,0.0006526291,0.034027,0.000100949626,0.00012507424,0.0000648116,0.00018527273,0.00007877298,0.017852893],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994605,0.00012145227,0.000035103367,0.00011990825,0.0002126715,0.000050296007],"domain_scores_gemma":[0.9969957,0.0015445458,0.0002456763,0.00024598223,0.00058180554,0.00038640905],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009489328,0.00032440308,0.0005012082,0.0027618206,0.0009446303,0.0021650326,0.00074437715,0.000509964,0.0037343327],"category_scores_gemma":[0.0063627562,0.00021199086,0.00023905741,0.00094025285,0.0025682736,0.00309966,0.0013633234,0.0008972145,0.00055924646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000162685,0.0000360116,0.004889089,0.00013833863,0.000018027666,0.000345552,0.00042732197,0.0043940763,0.0068632313,0.95538956,0.0021899124,0.025146175],"study_design_scores_gemma":[0.000028406092,0.00013040061,0.004098791,0.00013750896,0.000029051063,0.0015895611,0.0003951052,0.054481298,0.011178281,0.9043243,0.023558315,0.000049005463],"about_ca_topic_score_codex":0.00023734909,"about_ca_topic_score_gemma":0.0001653539,"teacher_disagreement_score":0.0037343327,"about_ca_system_score_codex":0.0006821943,"about_ca_system_score_gemma":0.00030736512,"threshold_uncertainty_score":0.0124925375},"labels":[],"label_agreement":null},{"id":"W4388320558","doi":"10.1093/oso/9780198534938.003.0004","title":"More specific results on critical points","year":2002,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Combinatorics; Disjoint sets; Product (mathematics); Critical point (mathematics); Interval (graph theory); Polynomial; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.09678728969929559,"score_gpt":0.3303307761344991,"score_spread":0.23354348643520353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388320558","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15091446,0.015236539,0.12893571,0.0032689963,0.0011912186,0.00011164543,0.0005074178,0.00034645616,0.69948745],"genre_scores_gemma":[0.8941735,0.0069486964,0.01928703,0.0007939935,0.0018479027,0.00013669107,0.00081281463,0.000249327,0.07575002],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962604,0.000052514366,0.000015853042,0.00010421919,0.00012877725,0.00007248254],"domain_scores_gemma":[0.9992267,0.0002989804,0.00007812784,0.0000830214,0.0002240552,0.000089048655],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000437111,0.00058938935,0.00071695115,0.0029171603,0.0013400582,0.0020451408,0.00062962354,0.0008204749,0.00818198],"category_scores_gemma":[0.0025544674,0.0003056801,0.00061662594,0.0018223026,0.0022856754,0.0025014207,0.0016149769,0.00269741,0.0015473334],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021879805,0.000016989772,0.00029250857,0.000095027135,0.000009252891,0.0001611585,0.0002961045,0.0013965428,0.00090012926,0.97808766,0.0067241145,0.011998577],"study_design_scores_gemma":[0.000016821943,0.000029677367,0.0006482068,0.00009725823,0.000015423719,0.00040301922,0.0002707558,0.0045112083,0.001375806,0.92724144,0.0653775,0.000012890109],"about_ca_topic_score_codex":0.001050706,"about_ca_topic_score_gemma":0.0006360366,"teacher_disagreement_score":0.00818198,"about_ca_system_score_codex":0.001599577,"about_ca_system_score_gemma":0.0004344203,"threshold_uncertainty_score":0.027371466},"labels":[],"label_agreement":null},{"id":"W4388724634","doi":"10.1137/23m1562858","title":"Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations","year":2023,"lang":"en","type":"article","venue":"SIAM Journal on Applied Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Homoclinic orbit; Transversality; Mathematics; Mathematical analysis; Heteroclinic orbit; Nonlinear system; Boundary (topology); Intersection (aeronautics); Transverse plane; Physics; Bifurcation","score_opus":0.06989409654773439,"score_gpt":0.3394525138213673,"score_spread":0.26955841727363294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388724634","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85649186,0.00034614585,0.12584928,0.0004980228,0.00018441016,0.00007133477,0.0002005294,0.00047392934,0.015884558],"genre_scores_gemma":[0.97235817,0.00007354646,0.025539782,0.00002433755,0.000019277206,0.000031412517,0.00007439602,0.000051210645,0.0018279956],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999385,0.00001781664,0.0000048706684,0.0000095458045,0.000017602288,0.000011667401],"domain_scores_gemma":[0.9989912,0.00063429674,0.00009612243,0.000054750315,0.00014026577,0.00008341335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043380453,0.0003708178,0.00049380003,0.00068757194,0.00060111366,0.000847903,0.0005482908,0.00082401093,0.003726574],"category_scores_gemma":[0.0031060437,0.00027531455,0.00026655715,0.0005070826,0.0007244774,0.00052844867,0.00065121235,0.0005525221,0.00018656309],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018403657,0.00008363627,0.0025215077,0.00010323889,0.000036014553,0.00016966001,0.00012048918,0.9647275,0.004074015,0.015686288,0.00059368816,0.011699761],"study_design_scores_gemma":[0.000008718716,0.000010495157,0.00010497385,0.0000033340614,0.0000017980115,0.0000056401136,0.000012342223,0.9985927,0.00025861335,0.00092305086,0.00007624639,0.000002017976],"about_ca_topic_score_codex":0.005615572,"about_ca_topic_score_gemma":0.005558896,"teacher_disagreement_score":0.005615572,"about_ca_system_score_codex":0.0005896366,"about_ca_system_score_gemma":0.000813793,"threshold_uncertainty_score":0.0124666095},"labels":[],"label_agreement":null},{"id":"W4389442330","doi":"10.1137/23m155582x","title":"Stability of the Nonwandering Set in the Region of Attraction Boundary under Perturbations with Application to Vulnerability Assessment","year":2023,"lang":"en","type":"article","venue":"SIAM Journal on Applied Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Division of Electrical, Communications and Cyber Systems","keywords":"Attraction; Boundary (topology); Set (abstract data type); Vulnerability (computing); Stability (learning theory); Computer science; Mathematics; Mathematical analysis; Machine learning; Computer security","score_opus":0.05464790960605059,"score_gpt":0.33846687791048724,"score_spread":0.28381896830443665,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389442330","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06571644,0.00053204276,0.9294877,0.00027214154,0.00002767615,0.0000654046,0.000047087065,0.00025508247,0.0035964146],"genre_scores_gemma":[0.89075994,0.00063418894,0.10552007,0.000084490806,0.000042779855,0.00013011217,0.00011002593,0.000114325216,0.0026040245],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9995621,0.00013656191,0.000022895576,0.000107647495,0.00011760993,0.000053221982],"domain_scores_gemma":[0.99650145,0.002475799,0.00043362268,0.00013249715,0.0003100481,0.00014666923],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013574552,0.0008561494,0.0007908778,0.0011212331,0.0005185572,0.0010702207,0.00082313037,0.0009318157,0.0016048836],"category_scores_gemma":[0.007822692,0.0003406847,0.00080701435,0.00037200094,0.0025588789,0.0015556826,0.0021788906,0.001567738,0.0002235472],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001816923,0.000027408814,0.0020755017,0.00014076411,0.00003430018,0.00018875001,0.00035787042,0.90159357,0.009957274,0.066418976,0.00044497696,0.018578844],"study_design_scores_gemma":[0.0000034464845,0.00003059098,0.00033698525,0.000018802502,0.000004694018,0.000024958823,0.000037153375,0.9782341,0.001666623,0.01935602,0.00027328415,0.00001342079],"about_ca_topic_score_codex":0.0038342222,"about_ca_topic_score_gemma":0.0012960902,"teacher_disagreement_score":0.0038342222,"about_ca_system_score_codex":0.0010477414,"about_ca_system_score_gemma":0.0008108739,"threshold_uncertainty_score":0.0076237917},"labels":[],"label_agreement":null},{"id":"W4390614321","doi":"10.1112/s0010437x23007546","title":"Dynamics on ℙ <sup>1</sup> : preperiodic points and pairwise stability","year":2024,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Degree (music); Conjecture; Holomorphic function; Combinatorics; Genus; Pure mathematics","score_opus":0.03176012121717533,"score_gpt":0.29640305111368986,"score_spread":0.26464292989651456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390614321","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85155106,0.0007735412,0.06438894,0.0017231151,0.00009615411,0.00003591372,0.0001858513,0.00016653567,0.08107884],"genre_scores_gemma":[0.9844051,0.000226134,0.006391317,0.00008704559,0.00005900166,0.000054792476,0.000099988414,0.000045375804,0.008631267],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950814,0.000065206405,0.000020661133,0.00014035577,0.0001557219,0.000109978806],"domain_scores_gemma":[0.99905306,0.00028847743,0.00021417408,0.000104368664,0.00015654508,0.00018348848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000696304,0.00046181644,0.000457278,0.0017051307,0.0021855764,0.0030121356,0.00079575303,0.0006857475,0.005898624],"category_scores_gemma":[0.002524477,0.00038420822,0.000552247,0.0007758456,0.002899774,0.00506715,0.0032360677,0.0016916501,0.00062746427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043891596,0.000008577308,0.0007896322,0.000019585666,0.0000045591596,0.00010587044,0.0003771305,0.0013913221,0.0016295612,0.9902773,0.00055937184,0.004793198],"study_design_scores_gemma":[0.000020485315,0.000046971418,0.0020184633,0.000029542996,0.000010886508,0.0003374301,0.00051568146,0.018531604,0.0041056424,0.9655226,0.008833455,0.000027214026],"about_ca_topic_score_codex":0.0009467121,"about_ca_topic_score_gemma":0.000670356,"teacher_disagreement_score":0.005898624,"about_ca_system_score_codex":0.0022620976,"about_ca_system_score_gemma":0.00040111798,"threshold_uncertainty_score":0.019732893},"labels":[],"label_agreement":null},{"id":"W4391619967","doi":"10.1142/s0218127424500044","title":"Global Analysis of Riccati Quadratic Differential Systems","year":2024,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"H2020 European Research Council; Agencia Estatal de Investigación; Generalitat de Catalunya; Agència de Gestió d'Ajuts Universitaris i de Recerca; Natural Sciences and Engineering Research Council of Canada; Horizon 2020 Framework Programme; Agenția Națională pentru Cercetare și Dezvoltare","keywords":"Mathematics; Riccati equation; Quadratic equation; Differential (mechanical device); Applied mathematics; Quadratic differential; Linear-quadratic regulator; Control theory (sociology); Mathematical analysis; Differential equation; Mathematical optimization; Optimal control; Computer science; Control (management); Physics; Geometry","score_opus":0.026185931307863303,"score_gpt":0.36080332751911987,"score_spread":0.3346173962112566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391619967","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6176066,0.0009933207,0.3537596,0.0004183279,0.000044843087,0.000054219785,0.00014774436,0.00014596253,0.026829425],"genre_scores_gemma":[0.9907182,0.00017164677,0.005203973,0.00001844022,0.000027990145,0.000020091373,0.00007780589,0.000022633327,0.003739207],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998443,0.00003221919,0.00000570284,0.00003817391,0.000051626543,0.000027967808],"domain_scores_gemma":[0.9996996,0.00007869039,0.000076308264,0.000024613202,0.000085883534,0.000034938337],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002576566,0.0004109827,0.00039083554,0.00078171794,0.00040511123,0.000683406,0.0002626394,0.00023800966,0.0027350984],"category_scores_gemma":[0.0007079708,0.00012335846,0.00036042492,0.00024680918,0.0008830837,0.00072948006,0.00064655166,0.0004323771,0.00020175223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007609362,0.000038218514,0.004812382,0.00015989055,0.000062509505,0.00070516247,0.000623265,0.18159853,0.033983402,0.7566062,0.0013344012,0.019999953],"study_design_scores_gemma":[0.000018318491,0.00013034856,0.0038690923,0.000019773568,0.00002262722,0.00036139356,0.0002676262,0.7788267,0.005353726,0.20656842,0.0045344476,0.000027515995],"about_ca_topic_score_codex":0.000555432,"about_ca_topic_score_gemma":0.00031766106,"teacher_disagreement_score":0.0027350984,"about_ca_system_score_codex":0.0005094905,"about_ca_system_score_gemma":0.00016051505,"threshold_uncertainty_score":0.009149849},"labels":[],"label_agreement":null},{"id":"W4392736773","doi":"10.48550/arxiv.2403.05744","title":"Bi-center conditions and bifurcation of limit cycles in a class of $Z_2$-equivariant cubic switching systems with two nilpotent points","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Basic and Applied Basic Research Foundation of Guangdong Province; China Postdoctoral Science Foundation; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Nilpotent; Equivariant map; Bifurcation; Center (category theory); Mathematics; Limit (mathematics); Class (philosophy); Pure mathematics; Mathematical analysis; Physics; Computer science; Nonlinear system; Quantum mechanics; Chemistry; Crystallography","score_opus":0.0797936216078164,"score_gpt":0.24318643832931655,"score_spread":0.16339281672150013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392736773","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8888385,0.00027746215,0.09482292,0.00020071928,0.000042096086,0.00005330322,0.00006569339,0.00012329676,0.015575992],"genre_scores_gemma":[0.9943868,0.00006099224,0.004193637,0.000016277436,0.000012351117,0.000021012724,0.00003506891,0.000009449667,0.0012644148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99986064,0.000015774094,0.000007932749,0.00002937418,0.000046226047,0.00004000443],"domain_scores_gemma":[0.99973303,0.000049534654,0.000077592784,0.000024772487,0.000058762293,0.000056301673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001544389,0.00029500158,0.00030658225,0.0005891953,0.00080857426,0.00072169554,0.0003556018,0.00041090476,0.0027093622],"category_scores_gemma":[0.00083109806,0.00015714005,0.00030985687,0.00021250894,0.0008285914,0.00075105083,0.0010567568,0.0005682798,0.00019241455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022262054,0.000079752484,0.006150771,0.00019725344,0.00005322078,0.0010325441,0.0010895054,0.0951979,0.07860592,0.7864286,0.0009983691,0.029943604],"study_design_scores_gemma":[0.00005622939,0.00019991917,0.0037364697,0.000026374297,0.000031007778,0.00064027356,0.0007247342,0.64971215,0.02489698,0.31531253,0.0045800945,0.000083117346],"about_ca_topic_score_codex":0.001306875,"about_ca_topic_score_gemma":0.00083431957,"teacher_disagreement_score":0.0027093622,"about_ca_system_score_codex":0.0005878155,"about_ca_system_score_gemma":0.00054031564,"threshold_uncertainty_score":0.009063721},"labels":[],"label_agreement":null},{"id":"W4392933328","doi":"10.48550/arxiv.2403.10450","title":"Stationary non-radial localized patterns in the planar Swift-Hohenberg PDE: constructive proofs of existence","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Concordia University","keywords":"Swift; Mathematical proof; Constructive; Planar; Mathematics; Pure mathematics; Constructive proof; Calculus (dental); Physics; Geometry; Computer science; Discrete mathematics; Computer graphics (images); Astrophysics; Programming language; Process (computing)","score_opus":0.09235628170996939,"score_gpt":0.24365203125845003,"score_spread":0.15129574954848063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392933328","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0051483153,0.00022121175,0.9835977,0.00039278666,0.000066593915,0.000069768925,0.000060927985,0.00013665343,0.010305989],"genre_scores_gemma":[0.21655649,0.0013209807,0.77152836,0.0005467291,0.00024894002,0.00055529876,0.0002095012,0.00032856356,0.008705101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980659,0.00068499334,0.000088309105,0.00017482885,0.000895839,0.00009023706],"domain_scores_gemma":[0.99051243,0.006336401,0.000720037,0.0009445433,0.0012307625,0.00025589034],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0039809765,0.0015921467,0.00077145715,0.002131164,0.0010226209,0.0016608086,0.00186035,0.0011031659,0.0070532314],"category_scores_gemma":[0.018194236,0.0007735427,0.0015148614,0.00076315086,0.0043202615,0.0035589056,0.0047970125,0.0041765166,0.0018150606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028616196,0.000037658385,0.00030447272,0.0004111615,0.00002984791,0.00042640773,0.00039916544,0.0130721275,0.0067144865,0.9561558,0.0019302013,0.020490138],"study_design_scores_gemma":[0.00004305535,0.00008893539,0.0003066567,0.00021381993,0.00003536897,0.0005984742,0.0001916505,0.13284402,0.016076187,0.8328695,0.016677288,0.000054955308],"about_ca_topic_score_codex":0.0003222761,"about_ca_topic_score_gemma":0.00049768103,"teacher_disagreement_score":0.0070532314,"about_ca_system_score_codex":0.00084064784,"about_ca_system_score_gemma":0.0010510159,"threshold_uncertainty_score":0.023595393},"labels":[],"label_agreement":null},{"id":"W4393443252","doi":"10.23952/jano.6.2024.2.03","title":"Ravines of quadratic functions","year":2024,"lang":"en","type":"article","venue":"Journal of Applied and Numerical Optimization","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Trường Đại học Duy Tân; Vietnam Academy of Science and Technology","keywords":"Ravine; Mathematics; Quadratic equation; Geometry; Geography; Cartography","score_opus":0.016579091826065748,"score_gpt":0.28082995336094624,"score_spread":0.2642508615348805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393443252","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12280664,0.004315556,0.78519315,0.0011370649,0.00055523025,0.00006648719,0.00019473971,0.00035823786,0.0853728],"genre_scores_gemma":[0.88984907,0.0024550718,0.079174325,0.00041770146,0.0008149884,0.000081801234,0.00020600947,0.0002522935,0.026748704],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99841094,0.00057240215,0.00009493543,0.00035260076,0.00043232137,0.00013672371],"domain_scores_gemma":[0.9972886,0.0010216733,0.00039332465,0.00034384258,0.00073178124,0.00022088998],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019456189,0.00084705907,0.0006832386,0.0017775554,0.0009093943,0.0020649375,0.0008595097,0.0007538649,0.0035702172],"category_scores_gemma":[0.0068723187,0.0003168242,0.0007766818,0.0007060401,0.0037506337,0.0064275027,0.0019918242,0.0027228387,0.0010716006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026494628,0.0000069489583,0.00013296613,0.00005378182,0.000009433789,0.00006516687,0.00020803242,0.0026775065,0.001960701,0.98556364,0.00049869175,0.008796635],"study_design_scores_gemma":[0.000013088554,0.00021316166,0.00059188704,0.000055087738,0.000014601379,0.0004493539,0.00022555447,0.04031967,0.0024494487,0.9291498,0.026468007,0.000050446506],"about_ca_topic_score_codex":0.00050085026,"about_ca_topic_score_gemma":0.00022839101,"teacher_disagreement_score":0.0035702172,"about_ca_system_score_codex":0.0006098807,"about_ca_system_score_gemma":0.00036535153,"threshold_uncertainty_score":0.011943579},"labels":[],"label_agreement":null},{"id":"W4394871076","doi":"10.1016/j.chaos.2024.114817","title":"Global dynamics and threshold control of a discontinuous fishery ecological system","year":2024,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"System dynamics; Dynamics (music); Fishery; Ecology; Control (management); Environmental science; Computer science; Biology; Physics; Artificial intelligence","score_opus":0.018159952821775,"score_gpt":0.29687601779696793,"score_spread":0.2787160649751929,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394871076","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.918031,0.00019172914,0.067319356,0.00068457564,0.000046304787,0.000017367507,0.000044792392,0.000098231896,0.013566685],"genre_scores_gemma":[0.99792176,0.000036203863,0.0010476841,0.000016157974,0.000005709021,0.0000052643645,0.0000053329095,0.000005780836,0.0009560579],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.999902,0.000023499217,0.000004497574,0.000017613667,0.000022405431,0.000029872697],"domain_scores_gemma":[0.999587,0.00015893333,0.00006989577,0.000026499982,0.000057874822,0.00009969735],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003246537,0.00021810975,0.0005101225,0.00057041465,0.0004988829,0.0013675224,0.0007225444,0.00049732794,0.0015952049],"category_scores_gemma":[0.0011131475,0.00015996944,0.00031356383,0.00021681884,0.0014122691,0.00071231974,0.001042895,0.0004729969,0.00008189394],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024599637,0.00016739336,0.0050062924,0.00009880967,0.00012332859,0.0006649936,0.00061144645,0.29936904,0.06564658,0.6129689,0.0015148114,0.013582355],"study_design_scores_gemma":[0.000035846842,0.000061145656,0.001515153,0.0000065068507,0.000018102895,0.00007119328,0.00011222375,0.88166976,0.0007960422,0.11532783,0.00036712261,0.00001906726],"about_ca_topic_score_codex":0.0032466268,"about_ca_topic_score_gemma":0.0016069411,"teacher_disagreement_score":0.0032466268,"about_ca_system_score_codex":0.0009806695,"about_ca_system_score_gemma":0.0006103782,"threshold_uncertainty_score":0.0071153045},"labels":[],"label_agreement":null},{"id":"W4399061811","doi":"10.48550/arxiv.2405.15104","title":"A finiteness result for common zeros of iterates of rational maps","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Iterated function; Mathematics; Pure mathematics; Mathematical analysis","score_opus":0.15085323557500402,"score_gpt":0.25955310238494206,"score_spread":0.10869986680993804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399061811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7481573,0.0013245003,0.20992416,0.0014152128,0.00012655923,0.0000770262,0.00032588872,0.00043577424,0.038213592],"genre_scores_gemma":[0.9762115,0.00033299788,0.017358186,0.00018770472,0.00013081227,0.00007605236,0.00023610226,0.00012365583,0.0053429133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970182,0.00043321415,0.00016208978,0.0011164176,0.000693028,0.00057706196],"domain_scores_gemma":[0.9868031,0.008120096,0.001145791,0.0014426077,0.0011181068,0.0013702682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028486496,0.0010541802,0.0018896044,0.0029780723,0.0032150338,0.0060560494,0.002485217,0.0015924149,0.0051199407],"category_scores_gemma":[0.015881168,0.0010235631,0.0028262027,0.0013750618,0.007978905,0.010665222,0.0063918144,0.0046623577,0.0005681431],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025089638,0.000056009463,0.0033752383,0.00012562855,0.000064398104,0.00039653076,0.0015810365,0.0027566853,0.0059217107,0.98028666,0.0004128967,0.004772287],"study_design_scores_gemma":[0.00007986759,0.00014604133,0.00130488,0.000084943975,0.00011921672,0.0005830761,0.0006069549,0.018163377,0.007764231,0.9677041,0.003372998,0.00007039303],"about_ca_topic_score_codex":0.0014676111,"about_ca_topic_score_gemma":0.0009508541,"teacher_disagreement_score":0.0060560494,"about_ca_system_score_codex":0.003319565,"about_ca_system_score_gemma":0.0008684604,"threshold_uncertainty_score":0.024085224},"labels":[],"label_agreement":null},{"id":"W4399134631","doi":"10.1007/s00029-024-00940-8","title":"On invariant rational functions under rational transformations","year":2024,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Rational function; Mathematics; Invariant (physics); Pure mathematics; Algebra over a field; Mathematical physics","score_opus":0.03622077783917089,"score_gpt":0.30348668267504797,"score_spread":0.2672659048358771,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399134631","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45485348,0.0031518554,0.15120432,0.0066432706,0.0021868607,0.000107763066,0.0006193577,0.0005950791,0.38063806],"genre_scores_gemma":[0.92672294,0.0030436388,0.008782829,0.00073513156,0.0019769783,0.00007865985,0.0004045721,0.00031639662,0.057938993],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99899954,0.00020853821,0.00004057023,0.00017272984,0.00027828745,0.00030027184],"domain_scores_gemma":[0.9985739,0.0004936399,0.00024213619,0.00015714773,0.00026041936,0.00027270435],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012948532,0.0017390628,0.0015619143,0.00453628,0.0024200594,0.005091191,0.0015451014,0.0017149567,0.007668624],"category_scores_gemma":[0.0032859114,0.0006915264,0.0015497443,0.0024192329,0.005863771,0.00788103,0.002970068,0.0037051188,0.0012960662],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011283587,0.000010787501,0.000036497233,0.000010446644,0.0000044048356,0.000039087055,0.00013432595,0.00024815986,0.00020034368,0.99733526,0.0003889945,0.0015803092],"study_design_scores_gemma":[0.000012725393,0.00000986406,0.000108896886,0.0000067728906,0.0000056202975,0.00004390535,0.00005635102,0.0012506201,0.00013194304,0.99686986,0.001495569,0.000008002861],"about_ca_topic_score_codex":0.0020252117,"about_ca_topic_score_gemma":0.001019026,"teacher_disagreement_score":0.007668624,"about_ca_system_score_codex":0.003197569,"about_ca_system_score_gemma":0.0011175626,"threshold_uncertainty_score":0.025654078},"labels":[],"label_agreement":null},{"id":"W4400859128","doi":"10.1016/j.cnsns.2024.108241","title":"An efficient solution procedure for solving higher-codimension Hopf and Bogdanov–Takens bifurcations","year":2024,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Zhejiang Normal University; Western University","keywords":"Codimension; Mathematics; Bogdanov–Takens bifurcation; Hopf bifurcation; Pure mathematics; Mathematical analysis; Bifurcation; Physics; Nonlinear system","score_opus":0.07820717744299571,"score_gpt":0.4104259812183679,"score_spread":0.33221880377537216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400859128","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020465622,0.00012904019,0.9744221,0.00012326567,0.00013144269,0.000084467145,0.000054961198,0.00025527674,0.0043337964],"genre_scores_gemma":[0.18766645,0.00018685783,0.80498195,0.00011183485,0.00008242332,0.00034085743,0.00015698135,0.00023371067,0.006238974],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998429,0.000038885355,0.000014459648,0.000022035108,0.000061638544,0.000020104068],"domain_scores_gemma":[0.9997818,0.000083664665,0.000016568742,0.000027732447,0.00007112409,0.000019107387],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005244801,0.000686522,0.00095576106,0.0009219465,0.0011076998,0.00067659974,0.0010714541,0.0012762005,0.003646756],"category_scores_gemma":[0.0011749879,0.00042360584,0.0008828115,0.0007130135,0.00054132624,0.0007572168,0.0014027922,0.0011800145,0.0008585296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018575777,0.00029601716,0.0013122673,0.0005634032,0.00022590987,0.0006309058,0.000574234,0.3843867,0.06975851,0.1989579,0.006508773,0.33659962],"study_design_scores_gemma":[0.00003711387,0.000034761997,0.00015242597,0.000013302926,0.00002158967,0.00006985007,0.000031401043,0.96885824,0.0032407944,0.024140434,0.0033813359,0.000018806904],"about_ca_topic_score_codex":0.001990097,"about_ca_topic_score_gemma":0.0038912003,"teacher_disagreement_score":0.003646756,"about_ca_system_score_codex":0.00041101233,"about_ca_system_score_gemma":0.001209816,"threshold_uncertainty_score":0.01219964},"labels":[],"label_agreement":null},{"id":"W4400924645","doi":"10.4171/cmh/576","title":"On the asymptotics of cubic fields ordered by general invariants","year":2024,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Security Agency; National Science Foundation","keywords":"Mathematics; Cubic form; Pure mathematics; Cubic function; Mathematical analysis","score_opus":0.046761066232072254,"score_gpt":0.32598932827714405,"score_spread":0.2792282620450718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400924645","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93570244,0.00055779953,0.014637001,0.00071608427,0.00010182138,0.000019983465,0.00008340105,0.00018337466,0.047997955],"genre_scores_gemma":[0.9945851,0.00018311071,0.0023978916,0.00006552818,0.00008909417,0.000009915481,0.00009674808,0.00003665827,0.0025360982],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999731,0.000044396344,0.00000819045,0.000031969288,0.0000958143,0.00008861349],"domain_scores_gemma":[0.99884063,0.00029999908,0.0002262811,0.00015238953,0.00023104224,0.0002497157],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007060021,0.0002573944,0.00038041745,0.0025332805,0.0014072969,0.0011100834,0.00046750667,0.00044310186,0.0035205234],"category_scores_gemma":[0.0032695415,0.00016945324,0.0004039449,0.0008466016,0.0026437568,0.0018507262,0.000830411,0.0009943856,0.00022050059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000103557446,0.00003814188,0.0034930133,0.00007524048,0.000005900725,0.00042465213,0.0003894228,0.0035721492,0.004276598,0.9784541,0.0016783908,0.007488775],"study_design_scores_gemma":[0.000045210265,0.00006331679,0.00699014,0.00006120193,0.000011797267,0.0008827613,0.0005657655,0.053799886,0.0021893596,0.9303515,0.0049960064,0.000043016404],"about_ca_topic_score_codex":0.0023838854,"about_ca_topic_score_gemma":0.0017321167,"teacher_disagreement_score":0.0035205234,"about_ca_system_score_codex":0.0016210258,"about_ca_system_score_gemma":0.00055214355,"threshold_uncertainty_score":0.011777282},"labels":[],"label_agreement":null},{"id":"W4402285252","doi":"10.58997/ejde.2024.50","title":"Abel quadratic differential systems of second kind","year":2024,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Agència de Gestió d'Ajuts Universitaris i de Recerca; Natural Sciences and Engineering Research Council of Canada; Agencia Estatal de Investigación; Université de Montréal","keywords":"Mathematics; Quadratic equation; Differential (mechanical device); Applied mathematics; Pure mathematics; Geometry; Physics","score_opus":0.02309332238270457,"score_gpt":0.30304856916252637,"score_spread":0.2799552467798218,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402285252","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7191809,0.0012003803,0.1637662,0.0010442052,0.00018292034,0.00007777102,0.00030109368,0.00021916974,0.11402726],"genre_scores_gemma":[0.9789067,0.0002937337,0.009155618,0.00009507306,0.000086011445,0.000035355322,0.00013637407,0.000018471173,0.011272718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966013,0.000051049403,0.000011896352,0.00004831108,0.00015657733,0.00007198736],"domain_scores_gemma":[0.99965537,0.000071381655,0.00007316514,0.000036133224,0.00009233245,0.000071569724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030005,0.00023572033,0.00034202906,0.0007813825,0.0007412999,0.0009422406,0.0002601671,0.00040839997,0.0030708176],"category_scores_gemma":[0.0011300391,0.00013811889,0.00033733336,0.0003952286,0.0010057234,0.00095544884,0.0010490733,0.00079018023,0.00034113516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018511506,0.000011492455,0.0006866989,0.000027929822,0.000006672021,0.00018938976,0.00021444345,0.008408048,0.007455258,0.97671914,0.0010914361,0.0051708603],"study_design_scores_gemma":[0.000029640878,0.000060682807,0.0027418272,0.000016383756,0.0000072665325,0.00060617534,0.00019094175,0.17450266,0.0031009566,0.80755746,0.011151611,0.000034395074],"about_ca_topic_score_codex":0.0010500937,"about_ca_topic_score_gemma":0.0007170803,"teacher_disagreement_score":0.0030708176,"about_ca_system_score_codex":0.0008304418,"about_ca_system_score_gemma":0.00037693692,"threshold_uncertainty_score":0.01027298},"labels":[],"label_agreement":null},{"id":"W4402720152","doi":"10.1007/s00010-024-01120-x","title":"On the Li–Zheng theorem","year":2024,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Combinatorics; Discrete mathematics; Pure mathematics","score_opus":0.061347192558737766,"score_gpt":0.3326431967982183,"score_spread":0.2712960042394805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402720152","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.108549625,0.010516824,0.21337515,0.0378972,0.0025969113,0.00006641998,0.0005770664,0.00054004893,0.6258808],"genre_scores_gemma":[0.8132189,0.005293664,0.025291672,0.0068795593,0.0028377073,0.00016385225,0.00035827875,0.00027962567,0.14567679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996424,0.00009966447,0.000015263735,0.0000813101,0.000101452475,0.000059979302],"domain_scores_gemma":[0.9993316,0.00027090393,0.00007708254,0.00008752474,0.00014285276,0.00009004714],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009886741,0.00049721583,0.0007633021,0.0013824919,0.0014852124,0.0015774192,0.0007785132,0.00087365025,0.010492532],"category_scores_gemma":[0.002329493,0.0002116802,0.00071228103,0.0010981968,0.0022396168,0.0034910983,0.0025643469,0.0026344003,0.0015388364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018439865,0.000011381574,0.00022770488,0.00003135913,0.000009571039,0.00004377257,0.00010747834,0.0003577144,0.00036948925,0.9849112,0.005157896,0.008753905],"study_design_scores_gemma":[0.000012955276,0.000008781726,0.0003735975,0.000008283836,0.0000059566687,0.000053719334,0.00003190947,0.0024283978,0.00016586485,0.9840121,0.012891762,0.0000066472226],"about_ca_topic_score_codex":0.0019006848,"about_ca_topic_score_gemma":0.0011079161,"teacher_disagreement_score":0.010492532,"about_ca_system_score_codex":0.0014332967,"about_ca_system_score_gemma":0.0006549247,"threshold_uncertainty_score":0.035100996},"labels":[],"label_agreement":null},{"id":"W4402862368","doi":"10.1112/jlms.12993","title":"On tame ramification and centers of F$F$‐purity","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Wetenschappelijk Onderzoek","keywords":"Ramification; Chemistry; Mathematics; Combinatorics","score_opus":0.024037289500029643,"score_gpt":0.30619785648148073,"score_spread":0.2821605669814511,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402862368","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84803003,0.0008026061,0.09374135,0.0006028442,0.00007768871,0.000047478883,0.0001663722,0.0003813524,0.056150332],"genre_scores_gemma":[0.9949092,0.0001053418,0.0029731204,0.00003701769,0.000035158282,0.000015479021,0.000040436036,0.000043712193,0.0018405986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991773,0.00014639672,0.00002189344,0.00014906221,0.00020752552,0.0002978787],"domain_scores_gemma":[0.9976585,0.00089930306,0.00029319004,0.00037111042,0.0004038328,0.0003740236],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013111545,0.00033784172,0.0005918189,0.0017599512,0.0017534439,0.0024519956,0.0006289069,0.0006611087,0.0051986324],"category_scores_gemma":[0.004012905,0.0003408879,0.00051836495,0.00057517225,0.0055522206,0.005707271,0.00294776,0.001430391,0.0004026654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000071014874,0.000015720916,0.0006312518,0.000023613758,0.0000059395193,0.00015820067,0.00073003635,0.0012456632,0.0024024495,0.99136275,0.00033890843,0.0030143673],"study_design_scores_gemma":[0.00003145525,0.000077985125,0.002241881,0.000034248413,0.000016158561,0.000692582,0.0009868088,0.012814246,0.009950337,0.9657268,0.007370595,0.000056938705],"about_ca_topic_score_codex":0.00089804246,"about_ca_topic_score_gemma":0.0003298161,"teacher_disagreement_score":0.0051986324,"about_ca_system_score_codex":0.0011254541,"about_ca_system_score_gemma":0.00040653106,"threshold_uncertainty_score":0.017391145},"labels":[],"label_agreement":null},{"id":"W4402877932","doi":"10.28924/2291-8639-22-2024-163","title":"Dynamics and Expressions of Solutions of Fourth-Order Rational Systems of Difference Equations","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"King Abdulaziz University","keywords":"Mathematics; Dynamics (music); Order (exchange); Applied mathematics; Calculus (dental); Sociology; Economics","score_opus":0.027756458347381982,"score_gpt":0.33112734832851737,"score_spread":0.30337088998113537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402877932","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3217831,0.0014994404,0.6339143,0.0012379998,0.00026825123,0.00016660118,0.00021507363,0.0002190238,0.040696166],"genre_scores_gemma":[0.91677076,0.00076593173,0.06505526,0.00017516765,0.000049423765,0.00018620715,0.00016216653,0.00007139817,0.016763752],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999711,0.00007466787,0.000018410541,0.000049359554,0.00009078447,0.000055808836],"domain_scores_gemma":[0.9994252,0.00020036011,0.0001309419,0.000029241452,0.00015697212,0.000057248708],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009814154,0.0006099435,0.00064125744,0.0010286743,0.0007157844,0.0014485396,0.000988781,0.0011224609,0.0037362739],"category_scores_gemma":[0.002666835,0.0003168665,0.00072326884,0.00050515746,0.0015730559,0.0011920143,0.001104272,0.001266638,0.00034203037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001162105,0.000064770386,0.0022941045,0.00020484251,0.000050890332,0.0005021474,0.0009021981,0.24975441,0.017414171,0.71487635,0.00082649343,0.0129933795],"study_design_scores_gemma":[0.000039835082,0.000055991946,0.00042408291,0.000032760414,0.000014589706,0.00015223281,0.0002038301,0.8835164,0.002397408,0.11075083,0.0023692178,0.00004274406],"about_ca_topic_score_codex":0.0040597674,"about_ca_topic_score_gemma":0.002224698,"teacher_disagreement_score":0.0040597674,"about_ca_system_score_codex":0.0013204305,"about_ca_system_score_gemma":0.00097221404,"threshold_uncertainty_score":0.012499154},"labels":[],"label_agreement":null},{"id":"W4402955320","doi":"10.48550/arxiv.2409.01863","title":"Internality of autonomous algebraic differential equations","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo","keywords":"Mathematics; Algebraic number; Corollary; Ordinary differential equation; Function (biology); Class (philosophy); Differential equation; Pure mathematics; Applied mathematics; Work (physics); Algebraic equation; Differential algebraic equation; Algebra over a field; Mathematical analysis; Computer science; Nonlinear system; Physics","score_opus":0.12057464508622533,"score_gpt":0.24886322217153323,"score_spread":0.1282885770853079,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402955320","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6843834,0.0019210604,0.22272795,0.0022798518,0.00019973268,0.00006713131,0.00014610412,0.00021697447,0.08805772],"genre_scores_gemma":[0.98631823,0.0004953606,0.007458825,0.00013256256,0.00012604028,0.00003199847,0.000062668005,0.000030927262,0.005343311],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992692,0.00015452247,0.000034594264,0.00016350007,0.00025878113,0.000119501296],"domain_scores_gemma":[0.9987953,0.00042624687,0.00026126852,0.00013583859,0.00021126693,0.00017020079],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008907108,0.00036164848,0.00063046813,0.0010994127,0.0009391901,0.00243183,0.00066237006,0.0006673291,0.0022461743],"category_scores_gemma":[0.004570006,0.00026635113,0.00074911944,0.00048028736,0.003397949,0.002913289,0.0021443367,0.0019038599,0.00020313043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000069146818,0.0000075782455,0.00052532065,0.000027579052,0.000009574402,0.000060497143,0.0003077069,0.004871919,0.001211939,0.9902754,0.0002910325,0.0024046425],"study_design_scores_gemma":[0.000011342296,0.000022316006,0.0006188663,0.000020689895,0.000010483318,0.00011495937,0.00016941741,0.051436383,0.00075719866,0.9435853,0.0032352791,0.000017751518],"about_ca_topic_score_codex":0.00090965076,"about_ca_topic_score_gemma":0.00047432678,"teacher_disagreement_score":0.00243183,"about_ca_system_score_codex":0.0017090816,"about_ca_system_score_gemma":0.0005430839,"threshold_uncertainty_score":0.012400389},"labels":[],"label_agreement":null},{"id":"W4404072126","doi":"10.4171/jncg/600","title":"On singular foliations tangent to a given hypersurface","year":2024,"lang":"en","type":"article","venue":"Journal of Noncommutative Geometry","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"MacEwan University","funders":"","keywords":"Hypersurface; Mathematics; Tangent; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.04521504221820323,"score_gpt":0.3749011018576421,"score_spread":0.32968605963943887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404072126","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9511888,0.00038545005,0.029781993,0.00027239733,0.00007459687,0.00003328596,0.00008892972,0.00008027231,0.018094327],"genre_scores_gemma":[0.990036,0.00024249736,0.0052365703,0.000043952394,0.00007180696,0.000016669232,0.0001293582,0.000026080672,0.00419709],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99972683,0.000034727946,0.000016822638,0.00005108822,0.00008143641,0.00008914618],"domain_scores_gemma":[0.9997172,0.000032818352,0.00006251005,0.000028979583,0.000033794047,0.00012455463],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026294735,0.00051710586,0.0005498462,0.0018961554,0.0018033328,0.0017672132,0.0004465262,0.0011335847,0.002581378],"category_scores_gemma":[0.0006825715,0.00021689782,0.0006043576,0.00064941467,0.0029021753,0.0015558397,0.0013247398,0.00070791756,0.00036262223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013404737,0.0000805578,0.0037512179,0.00007106381,0.000037538677,0.0025755079,0.0016938971,0.01407973,0.025121097,0.94292533,0.0006264291,0.0089035025],"study_design_scores_gemma":[0.000040409348,0.00015011174,0.004724904,0.000057278627,0.000023673514,0.001104101,0.00080748246,0.08571027,0.0044015003,0.8978898,0.0050283126,0.00006224306],"about_ca_topic_score_codex":0.0023313386,"about_ca_topic_score_gemma":0.0014267978,"teacher_disagreement_score":0.002581378,"about_ca_system_score_codex":0.0013868648,"about_ca_system_score_gemma":0.00036884536,"threshold_uncertainty_score":0.010062456},"labels":[],"label_agreement":null},{"id":"W4404346912","doi":"10.48550/arxiv.2411.08806","title":"Numerically flat foliations and holomorphic Poisson geometry","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Ministère de l'Europe et des Affaires Étrangères; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; McGill University","keywords":"Holomorphic function; Geometry; Poisson distribution; Mathematics; Pure mathematics; Mathematical analysis","score_opus":0.0993014231431641,"score_gpt":0.2340896877015421,"score_spread":0.134788264558378,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404346912","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9798141,0.00020462912,0.011660505,0.00014393104,0.00001845222,0.000009086249,0.000034572648,0.000028142098,0.008086472],"genre_scores_gemma":[0.9973501,0.000090115514,0.0011678559,0.000008781958,0.000017109214,0.000003986539,0.00003115244,0.000005013324,0.0013257693],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998398,0.00002903512,0.000007628022,0.000030669948,0.00004870854,0.000044085024],"domain_scores_gemma":[0.9996118,0.000063377476,0.0001258491,0.000035157933,0.000050072158,0.00011386978],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022211247,0.0005163471,0.00023650422,0.0012465139,0.0008677953,0.0012730138,0.00034608628,0.0004308024,0.0018570307],"category_scores_gemma":[0.000832947,0.0002019628,0.00021031099,0.00041016427,0.0018266027,0.0013686826,0.0010874025,0.00051570986,0.0001922341],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036173875,0.000039587023,0.006559483,0.0000515578,0.000020505557,0.0012598025,0.0010978914,0.0069107236,0.012924156,0.9629457,0.0004381853,0.0077161295],"study_design_scores_gemma":[0.000026604512,0.00015032015,0.017123867,0.000040692772,0.000023698201,0.0014946754,0.0011865465,0.07414029,0.006009949,0.8962069,0.0035530224,0.000043457665],"about_ca_topic_score_codex":0.0009421446,"about_ca_topic_score_gemma":0.00072730874,"teacher_disagreement_score":0.0018570307,"about_ca_system_score_codex":0.00064664445,"about_ca_system_score_gemma":0.0001991292,"threshold_uncertainty_score":0.0062124133},"labels":[],"label_agreement":null},{"id":"W4405199781","doi":"10.4153/s0008414x24000671","title":"On polar convexity in finite-dimensional Euclidean spaces","year":2024,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Convexity; Combinatorics; Euclidean geometry; Regular polygon; Duality (order theory); Section (typography); Pure mathematics; Geometry","score_opus":0.03883524678258879,"score_gpt":0.2957419375161276,"score_spread":0.2569066907335388,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405199781","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38260144,0.0023815648,0.40752694,0.0021219752,0.00025143172,0.000051160918,0.0004794475,0.00013473157,0.20445132],"genre_scores_gemma":[0.97766626,0.0009551456,0.013467952,0.00019496221,0.0002182091,0.00004060342,0.00024305566,0.00006542896,0.0071484107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914885,0.00031903613,0.000029007308,0.00010376213,0.00026756458,0.00013172082],"domain_scores_gemma":[0.9985707,0.00071875134,0.00015761447,0.00009295458,0.00028006188,0.00017990252],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010155351,0.00056688755,0.0005538498,0.0013842045,0.0010535326,0.0024545547,0.0004186005,0.00036850004,0.0030926468],"category_scores_gemma":[0.0023678017,0.00025757236,0.0005435904,0.0009683324,0.0042630415,0.0023804167,0.001701989,0.0014340258,0.00048757796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009968448,0.000002578041,0.00015493942,0.000009705959,0.0000026060056,0.00006124862,0.000090680645,0.0020093424,0.00023695956,0.9959608,0.00029860743,0.0011624992],"study_design_scores_gemma":[0.00000664946,0.000012867408,0.00071379263,0.000025846888,0.0000052741852,0.000117472184,0.0002205725,0.017918551,0.00057354826,0.9752618,0.0051304847,0.000013156329],"about_ca_topic_score_codex":0.002390633,"about_ca_topic_score_gemma":0.0013825143,"teacher_disagreement_score":0.0030926468,"about_ca_system_score_codex":0.0016696111,"about_ca_system_score_gemma":0.0004302662,"threshold_uncertainty_score":0.012113988},"labels":[],"label_agreement":null},{"id":"W4405558025","doi":"10.23952/jnva.9.2025.1.01","title":"The two-guard problem on curvininear polygons","year":2024,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Guard (computer science); Computer science; Programming language","score_opus":0.024495957588597673,"score_gpt":0.3396086455680225,"score_spread":0.3151126879794248,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405558025","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4765381,0.0007126874,0.5004902,0.0016863672,0.000112104935,0.00025091344,0.0014827214,0.00048681212,0.018240204],"genre_scores_gemma":[0.8188698,0.00046541155,0.17151803,0.00013702374,0.000060276445,0.00016234229,0.0014313211,0.00011001109,0.0072458982],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992785,0.00018531909,0.00004677854,0.00022501178,0.000107478394,0.00015689146],"domain_scores_gemma":[0.9973888,0.001750762,0.00025563408,0.00025799335,0.00010833119,0.00023853521],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077357364,0.00064579846,0.0010794953,0.00042409493,0.0010179689,0.0013387149,0.0012622031,0.001603728,0.005471438],"category_scores_gemma":[0.0046885777,0.0004843179,0.0007702844,0.00069525134,0.0018117729,0.0032699178,0.0020570133,0.0015356841,0.00044417454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010423503,0.0002057831,0.0041645835,0.00045643005,0.000071712595,0.0014316145,0.000789563,0.5678515,0.0073255994,0.34530872,0.007669961,0.063682154],"study_design_scores_gemma":[0.00015453539,0.00011512199,0.0007248276,0.00004321309,0.000020648878,0.00030016547,0.00049450895,0.6755957,0.0029065749,0.31346825,0.0061424314,0.00003398793],"about_ca_topic_score_codex":0.0031545775,"about_ca_topic_score_gemma":0.0022188323,"teacher_disagreement_score":0.005471438,"about_ca_system_score_codex":0.00079499587,"about_ca_system_score_gemma":0.00070550473,"threshold_uncertainty_score":0.018303812},"labels":[],"label_agreement":null},{"id":"W4405876233","doi":"10.48550/arxiv.2412.13893","title":"Erdős--Pósa property of cycles that are far apart","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fonds De La Recherche Scientifique - FNRS; Natural Sciences and Engineering Research Council of Canada; McGill University; University of Ottawa","keywords":"Property (philosophy); Philosophy; Epistemology","score_opus":0.17644516908826938,"score_gpt":0.23677583777743197,"score_spread":0.06033066868916259,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405876233","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5494573,0.0028382367,0.34489104,0.003284434,0.00035933615,0.00022829362,0.0019200514,0.00046480712,0.09655646],"genre_scores_gemma":[0.9375295,0.0019204819,0.039355397,0.0007556166,0.00025798942,0.0003637084,0.0011242281,0.00016889421,0.0185243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99910223,0.00015043479,0.000056323595,0.00030231327,0.00020890763,0.00017978212],"domain_scores_gemma":[0.9960567,0.001603848,0.0006831881,0.00049172353,0.00054398633,0.0006205857],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00098097,0.0008082338,0.0011942242,0.002024417,0.0021564993,0.0028761635,0.0014420891,0.001359265,0.007860707],"category_scores_gemma":[0.008128799,0.0006129246,0.0011706131,0.0016540076,0.0019772444,0.0054635718,0.0035695727,0.0021211202,0.0012353237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020582697,0.000035564946,0.0019303919,0.00014001886,0.0000449089,0.00034446,0.00044940584,0.007822219,0.0030804225,0.96993065,0.0027955074,0.013220593],"study_design_scores_gemma":[0.00006337697,0.000054679553,0.0007491242,0.00006457799,0.000042477805,0.00055424415,0.0003128596,0.036281303,0.0019287003,0.9460314,0.013884768,0.000032388714],"about_ca_topic_score_codex":0.0015518714,"about_ca_topic_score_gemma":0.0012321462,"teacher_disagreement_score":0.007860707,"about_ca_system_score_codex":0.001109503,"about_ca_system_score_gemma":0.0009771168,"threshold_uncertainty_score":0.026296735},"labels":[],"label_agreement":null},{"id":"W4407191460","doi":"10.1007/s12346-025-01224-y","title":"Generic Complex Polynomial Vector Fields with Real Coefficients","year":2025,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université de Moncton","funders":"","keywords":"Mathematics; Polynomial; Vector field; Reciprocal polynomial; Pure mathematics; Matrix polynomial; Algebra over a field; Mathematical analysis; Applied mathematics; Geometry","score_opus":0.07007006456043836,"score_gpt":0.38410855580709724,"score_spread":0.3140384912466589,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407191460","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32685158,0.0018493782,0.36783877,0.0057327873,0.0010960391,0.00016069615,0.0008899745,0.00048777697,0.29509303],"genre_scores_gemma":[0.9359572,0.0009949567,0.022195118,0.000594768,0.00066663855,0.000109070636,0.00033522546,0.00015617466,0.038990874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935025,0.00013917591,0.00002725352,0.00013260909,0.00017823344,0.00017242192],"domain_scores_gemma":[0.9989009,0.00025420543,0.00021019255,0.00013242246,0.0002619141,0.00024028608],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011170508,0.0009280368,0.00070099265,0.0023444055,0.0013580447,0.0039097564,0.0012021908,0.0015888285,0.007971017],"category_scores_gemma":[0.002580305,0.00040715604,0.00061788666,0.0014510411,0.003896016,0.005483496,0.0018265959,0.0025285964,0.0010858104],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000040766668,0.0000047884305,0.000019456373,0.000008364985,0.0000013561527,0.000021829039,0.00003449617,0.00027646447,0.0002681953,0.99850756,0.00031205962,0.00054140476],"study_design_scores_gemma":[0.000010253373,0.0000072703624,0.00007867732,0.0000071395384,0.0000023359323,0.00009589107,0.000055480403,0.0032769954,0.00021908674,0.9937784,0.0024598956,0.000008660852],"about_ca_topic_score_codex":0.0008814369,"about_ca_topic_score_gemma":0.00054949254,"teacher_disagreement_score":0.007971017,"about_ca_system_score_codex":0.0023533448,"about_ca_system_score_gemma":0.0008675163,"threshold_uncertainty_score":0.026665688},"labels":[],"label_agreement":null},{"id":"W4408535293","doi":"10.4153/s0008439525000256","title":"Generalized Knill–Laflamme theorem for families of isoclinic subspaces","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Mathematics; Linear subspace; Pure mathematics; Discrete mathematics; Algebra over a field","score_opus":0.029250307465902754,"score_gpt":0.3107873593925675,"score_spread":0.2815370519266648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408535293","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48992416,0.0014583509,0.39520124,0.00250594,0.00018420556,0.000119008924,0.00091603346,0.00030403648,0.10938691],"genre_scores_gemma":[0.9746868,0.00044907132,0.018391518,0.00024137968,0.00014175197,0.0001409022,0.0002512744,0.000044370805,0.0056528314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992482,0.00020538032,0.00002955338,0.00015309964,0.00023536036,0.00012834268],"domain_scores_gemma":[0.99782604,0.00081728556,0.00037127646,0.00026453714,0.000508303,0.00021261],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010031837,0.00030441937,0.00043335545,0.001968079,0.0015522321,0.0014683093,0.0007578419,0.0009833795,0.004292857],"category_scores_gemma":[0.0037177766,0.00022804699,0.00063442107,0.0007480166,0.0019620517,0.0025952193,0.0014259184,0.0011404988,0.00036034436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007187667,0.00000425287,0.0002615751,0.000014779998,0.0000033044905,0.000051866922,0.000098730714,0.0019246683,0.0005677937,0.99460125,0.000655489,0.0018090806],"study_design_scores_gemma":[0.000008562252,0.000014212814,0.00059964776,0.000017485596,0.0000031478767,0.00017093212,0.0001460616,0.039600816,0.0006609898,0.95497954,0.0037829108,0.000015755333],"about_ca_topic_score_codex":0.0018966023,"about_ca_topic_score_gemma":0.00096448,"teacher_disagreement_score":0.004292857,"about_ca_system_score_codex":0.0011328856,"about_ca_system_score_gemma":0.0004598669,"threshold_uncertainty_score":0.014361024},"labels":[],"label_agreement":null},{"id":"W4410371241","doi":"10.1215/00127094-2024-0041","title":"On the dynamical Bogomolov conjecture for families of split rational maps","year":2025,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Conjecture; Pure mathematics","score_opus":0.026523358477210168,"score_gpt":0.32101057878779227,"score_spread":0.2944872203105821,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410371241","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88670063,0.0008832213,0.07115375,0.0011240684,0.00006127456,0.0000220103,0.00017310774,0.00009854534,0.039783448],"genre_scores_gemma":[0.99422425,0.00027086656,0.0033906128,0.000062142586,0.000053140702,0.000020589849,0.00007992335,0.000015294978,0.0018833288],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996207,0.00006738686,0.000014052472,0.00010108308,0.00011295103,0.00008378892],"domain_scores_gemma":[0.99882656,0.00044299473,0.00023539414,0.00014101139,0.00016074943,0.00019325066],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007684152,0.0003425463,0.00042519113,0.0014476534,0.0015475426,0.0013726576,0.00046509225,0.00055342895,0.0030486798],"category_scores_gemma":[0.0035186252,0.0001852563,0.0005378044,0.0005779788,0.0020670197,0.0025755602,0.0020879186,0.0007755292,0.0002550728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003073896,0.000009592605,0.0023626485,0.000026957445,0.0000076097685,0.00014108577,0.00031360166,0.004170062,0.0015468464,0.9868161,0.00043539386,0.004139394],"study_design_scores_gemma":[0.000017403401,0.000042289073,0.0039249235,0.000028931641,0.000012070052,0.0002554279,0.00034966218,0.039375816,0.0011657045,0.9514391,0.0033639448,0.000024667233],"about_ca_topic_score_codex":0.0014203503,"about_ca_topic_score_gemma":0.0006568212,"teacher_disagreement_score":0.0030486798,"about_ca_system_score_codex":0.0011328171,"about_ca_system_score_gemma":0.00032215597,"threshold_uncertainty_score":0.010198891},"labels":[],"label_agreement":null},{"id":"W4410852416","doi":"10.1090/proc/17217","title":"A dynamical Shafarevich theorem for endomorphisms of ℙ^{ℕ}","year":2025,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Endomorphism; Mathematics; Pure mathematics; Dynamical systems theory; Calculus (dental); Mathematical economics; Algebra over a field; Physics; Medicine; Quantum mechanics","score_opus":0.016487453012743323,"score_gpt":0.30004400974325496,"score_spread":0.2835565567305116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410852416","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3336667,0.0010363281,0.34017912,0.004620491,0.0012811426,0.00010640662,0.0007543975,0.0010013261,0.31735408],"genre_scores_gemma":[0.9240944,0.0005630706,0.020194668,0.0008697316,0.0004551198,0.00010244547,0.0005515081,0.00033443733,0.052834712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880445,0.00015998763,0.000062639265,0.00033735644,0.00031407003,0.00032150478],"domain_scores_gemma":[0.99888223,0.00034267726,0.00014136019,0.00015249444,0.00030332725,0.00017791805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009654564,0.0007599113,0.0005364382,0.0013099301,0.0024167798,0.0032756748,0.000891946,0.00097004074,0.0146934],"category_scores_gemma":[0.0021462862,0.00047189245,0.0016763957,0.0006904957,0.003023527,0.006488239,0.0033190963,0.0025871203,0.0021558355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017196964,0.000011790671,0.00021234616,0.000016067994,0.0000054836105,0.00006966358,0.00018046162,0.0002457299,0.00055224786,0.99516886,0.0008780738,0.0026420623],"study_design_scores_gemma":[0.000021958414,0.000030895208,0.00035203408,0.000018439101,0.00001021613,0.00013888565,0.0001718606,0.0028761888,0.0016482811,0.9837515,0.010961245,0.000018639561],"about_ca_topic_score_codex":0.0020033866,"about_ca_topic_score_gemma":0.0011188266,"teacher_disagreement_score":0.0146934,"about_ca_system_score_codex":0.00222352,"about_ca_system_score_gemma":0.0008543513,"threshold_uncertainty_score":0.04915434},"labels":[],"label_agreement":null},{"id":"W4410893279","doi":"10.14232/ejqtde.2025.1.19","title":"Prolongation of solutions and Lyapunov stability for Stieltjes dynamical systems","year":2025,"lang":"en","type":"article","venue":"Electronic journal of qualitative theory of differential equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Prolongation; Riemann–Stieltjes integral; Stability (learning theory); Control theory (sociology); Applied mathematics; Mathematical analysis; Computer science; Medicine; Control (management); Artificial intelligence; Integral equation","score_opus":0.1112664040969977,"score_gpt":0.40945703732911076,"score_spread":0.29819063323211303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410893279","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26547784,0.0032747195,0.6895565,0.0007307709,0.00027535445,0.00010315418,0.0000798503,0.00017442391,0.040327426],"genre_scores_gemma":[0.96789014,0.0014365732,0.023083232,0.000063923115,0.00019700114,0.000060876508,0.00003728475,0.000037782575,0.007193224],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997619,0.000080030906,0.000020415306,0.000034591456,0.000075913944,0.000027214035],"domain_scores_gemma":[0.9992422,0.00033679197,0.00014900535,0.00004533412,0.00014709591,0.00007953579],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089526747,0.0005682774,0.0004520232,0.00084008253,0.0005202923,0.00072299555,0.00045422325,0.00037707316,0.0028656418],"category_scores_gemma":[0.0020430018,0.00013367929,0.00057736377,0.0004157862,0.0014549376,0.0015507177,0.00097604346,0.0009000984,0.0002883633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059314123,0.0000324197,0.0005267197,0.00015682534,0.000027673028,0.0004470515,0.00089069875,0.03702011,0.020292526,0.9204529,0.00052915025,0.01956469],"study_design_scores_gemma":[0.000043242402,0.00023640294,0.0004921852,0.00004310842,0.000017517992,0.00034626253,0.00017164713,0.28280482,0.006034467,0.7038147,0.0059635486,0.000032140848],"about_ca_topic_score_codex":0.0004833219,"about_ca_topic_score_gemma":0.0002495823,"teacher_disagreement_score":0.0028656418,"about_ca_system_score_codex":0.0005820304,"about_ca_system_score_gemma":0.00042642813,"threshold_uncertainty_score":0.009586513},"labels":[],"label_agreement":null},{"id":"W4411048202","doi":"10.1016/j.jnt.2025.04.019","title":"Intersection of orbits for polynomials in characteristic p","year":2025,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Science and ICT, South Korea; National Research Foundation of Korea","keywords":"Mathematics; Intersection (aeronautics); Pure mathematics; Combinatorics; Geography","score_opus":0.026609132751902707,"score_gpt":0.38059762666954244,"score_spread":0.35398849391763976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411048202","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8661458,0.0005375003,0.05996538,0.0010695108,0.00025669657,0.00007011807,0.00070140033,0.00032835087,0.07092521],"genre_scores_gemma":[0.98501104,0.00028791823,0.005709952,0.000060463848,0.00015187018,0.000038940827,0.0004965514,0.00009000259,0.008153401],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990803,0.00013249932,0.000047483576,0.00015715757,0.00025979566,0.00032275438],"domain_scores_gemma":[0.9975303,0.0011659522,0.00044318396,0.00014460647,0.00024591963,0.00047007733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008291676,0.0008451492,0.0010746532,0.0046086973,0.0036357394,0.0052540866,0.0013388111,0.0012448041,0.010584341],"category_scores_gemma":[0.003909125,0.000652066,0.001274503,0.0023944082,0.0036215014,0.0054719443,0.004777167,0.0025456306,0.0008283175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002649319,0.000048938546,0.0011603876,0.000048836955,0.000020288051,0.00026353338,0.0006346166,0.0008889961,0.0011474814,0.9892971,0.00091782404,0.005307094],"study_design_scores_gemma":[0.000054551878,0.00006365328,0.0013495611,0.000033316697,0.00003505653,0.00041261435,0.0005022965,0.009631982,0.0016296211,0.98388094,0.0023741485,0.000032284966],"about_ca_topic_score_codex":0.0018801893,"about_ca_topic_score_gemma":0.0011208423,"teacher_disagreement_score":0.010584341,"about_ca_system_score_codex":0.0024608334,"about_ca_system_score_gemma":0.0009565655,"threshold_uncertainty_score":0.0354082},"labels":[],"label_agreement":null},{"id":"W4411360172","doi":"10.1016/j.bulsci.2025.103684","title":"A new formal series method and its application to the center problem in Z2-equivariant nilpotent vector fields","year":2025,"lang":"en","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Science Foundation of Shandong Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Equivariant map; Nilpotent; Center (category theory); Series (stratigraphy); Mathematics; Pure mathematics; Algebra over a field; Geology","score_opus":0.02952171019916816,"score_gpt":0.33843887086695723,"score_spread":0.30891716066778907,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411360172","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035610925,0.00029989265,0.9588922,0.00009802787,0.000118793614,0.000058148315,0.00004488373,0.0002693183,0.004607662],"genre_scores_gemma":[0.42856833,0.00081858854,0.5635174,0.0000865638,0.00021667621,0.0001709916,0.00014720098,0.00025105893,0.006223272],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997993,0.000049116254,0.00001628214,0.000051074043,0.00006335612,0.000020746935],"domain_scores_gemma":[0.9996954,0.00010834671,0.000035554753,0.000040017967,0.00008125535,0.000039449726],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061142625,0.00048097665,0.00054196356,0.0023950783,0.0007042912,0.00079163077,0.00078313536,0.000383642,0.0035598322],"category_scores_gemma":[0.0016202627,0.00015865845,0.00052062393,0.00071348593,0.0011727158,0.0016934727,0.0007635691,0.00078933965,0.00063745363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006756857,0.00007765873,0.0020329095,0.00022764,0.00004081699,0.0003279883,0.00041128593,0.036496673,0.01760066,0.68754095,0.001807116,0.25336865],"study_design_scores_gemma":[0.00004187855,0.00014984589,0.0007648976,0.000042522828,0.00002825495,0.000638441,0.00021712262,0.4591976,0.0110375015,0.50976384,0.018050289,0.00006775916],"about_ca_topic_score_codex":0.00063715363,"about_ca_topic_score_gemma":0.00075248856,"teacher_disagreement_score":0.0035598322,"about_ca_system_score_codex":0.00046866812,"about_ca_system_score_gemma":0.00045722307,"threshold_uncertainty_score":0.011908829},"labels":[],"label_agreement":null},{"id":"W4411531901","doi":"10.5958/2394-9309.2025.00004.7","title":"The Fixed Point Theorem for Densification Mapping in the Entire Metric Space","year":2025,"lang":"en","type":"article","venue":"Arya Bhatta Journal of Mathematics and Informatics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"SAIT Polytechnic","funders":"","keywords":"Metric space; Fixed-point theorem; Mathematics; Point (geometry); Space (punctuation); Metric (unit); Pure mathematics; Mathematical analysis; Computer science; Geometry; Economics","score_opus":0.029441955154867718,"score_gpt":0.3038237604367982,"score_spread":0.2743818052819305,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411531901","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.041473806,0.0018894053,0.9295263,0.0013955564,0.00025874522,0.000116506664,0.00021825176,0.00017047871,0.024950964],"genre_scores_gemma":[0.73610204,0.004172384,0.23172867,0.0010684119,0.00082311174,0.0011432157,0.0006030819,0.00035649136,0.024002593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99770385,0.00042993916,0.00014070145,0.0008117139,0.00066494517,0.00024888094],"domain_scores_gemma":[0.99172616,0.004451545,0.0006451647,0.0006773527,0.0020368593,0.00046291237],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005557325,0.0013227622,0.0017137211,0.0033146841,0.0024986917,0.0027608632,0.0020024783,0.0021270015,0.0051166364],"category_scores_gemma":[0.015402872,0.0005845805,0.002952498,0.0014396604,0.0061117443,0.007230778,0.003915296,0.0047935946,0.0009296935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030162058,0.000015490983,0.00050389924,0.00011561978,0.000041843054,0.00018898069,0.00027375724,0.007139597,0.0025004544,0.97996294,0.00090941484,0.008317827],"study_design_scores_gemma":[0.000044717308,0.00021747207,0.0012685088,0.00009320997,0.00006127614,0.0006934752,0.00018918715,0.07852094,0.0030375668,0.9046241,0.0111775305,0.00007194814],"about_ca_topic_score_codex":0.0031494175,"about_ca_topic_score_gemma":0.0014659279,"teacher_disagreement_score":0.005557325,"about_ca_system_score_codex":0.002694041,"about_ca_system_score_gemma":0.0013383299,"threshold_uncertainty_score":0.029390335},"labels":[],"label_agreement":null},{"id":"W4412227686","doi":"","title":"Kawai, Kotaro and Yamamoto, Hikaru. The real Fourier-Mukai transform of Cayley cycles. Pure Appl. Math. Q. 17 (2021), no. 5, 1861–1898.","year":2023,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Fourier transform; Pure mathematics; Mathematical analysis","score_opus":0.02361995234830793,"score_gpt":0.29075541310251873,"score_spread":0.2671354607542108,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412227686","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09179363,0.5002081,0.27758676,0.02208403,0.02055303,0.00007803759,0.0014009061,0.0009741647,0.08532136],"genre_scores_gemma":[0.56979257,0.23447321,0.055389084,0.0020864515,0.006354643,0.00021704023,0.0012382488,0.0006297072,0.1298191],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9998184,0.000024783772,0.000016507285,0.000038389444,0.00006630812,0.000035721696],"domain_scores_gemma":[0.9990767,0.0002452396,0.00011851029,0.000101192585,0.00036199807,0.000096345975],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035143257,0.0005412586,0.0008923197,0.0021145642,0.0011769655,0.0016872928,0.00083339785,0.0009320937,0.0090125],"category_scores_gemma":[0.0026356108,0.00081266626,0.00084529014,0.0026371803,0.0009743264,0.004120938,0.001435565,0.0021409732,0.004416688],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005040762,0.00012600102,0.0016228185,0.0016065359,0.00014795,0.0011615139,0.0018966898,0.0029768108,0.012882616,0.6362912,0.17206514,0.16871867],"study_design_scores_gemma":[0.000094507275,0.00015424131,0.006465355,0.00023050018,0.00025551155,0.0026929618,0.0008418283,0.006890375,0.015306657,0.6755871,0.2912654,0.00021560022],"about_ca_topic_score_codex":0.0027053338,"about_ca_topic_score_gemma":0.002989521,"teacher_disagreement_score":0.0090125,"about_ca_system_score_codex":0.00075966405,"about_ca_system_score_gemma":0.00056376023,"threshold_uncertainty_score":0.030149758},"labels":[],"label_agreement":null},{"id":"W4412314277","doi":"","title":"Biswas, Indranil, Hurtubise, Jacques. Monopoles on Sasakian three-folds. Comm. Math. Phys. 339 (2015), no. 3, 1083--1100.","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematical physics; Mathematics; Theoretical physics; Pure mathematics; Physics","score_opus":0.03849201802416091,"score_gpt":0.3125324700665512,"score_spread":0.2740404520423903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412314277","genre_codex":"review","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17219245,0.30766287,0.26800358,0.031056033,0.016330935,0.000117665535,0.0040093977,0.001623299,0.19900386],"genre_scores_gemma":[0.71119,0.13275711,0.049209155,0.0020634702,0.004012959,0.00020599067,0.0023397084,0.0009770065,0.097244516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974364,0.000049204755,0.000016401124,0.000043413394,0.00008870541,0.000058566486],"domain_scores_gemma":[0.9993032,0.00019465368,0.00008115154,0.00012929192,0.00022929355,0.000062396815],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048290798,0.0007822601,0.00084100803,0.0033683924,0.0029892754,0.0026744124,0.0011580708,0.001726524,0.017854935],"category_scores_gemma":[0.0019332174,0.0007836687,0.0006003753,0.0038474184,0.0017778592,0.0055721756,0.00217745,0.0031895358,0.007993154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032446475,0.00010073146,0.00081418105,0.00088927936,0.00008083309,0.0005583979,0.00087108876,0.0019750101,0.0065985215,0.770321,0.103352346,0.11411413],"study_design_scores_gemma":[0.0000630579,0.000078593665,0.0017750595,0.0001711739,0.00007718739,0.0020133376,0.00042340558,0.0044627306,0.008136671,0.8522968,0.13036223,0.00013969275],"about_ca_topic_score_codex":0.0024546713,"about_ca_topic_score_gemma":0.0029169896,"teacher_disagreement_score":0.017854935,"about_ca_system_score_codex":0.0010738883,"about_ca_system_score_gemma":0.0006733012,"threshold_uncertainty_score":0.05973071},"labels":[],"label_agreement":null},{"id":"W4412430602","doi":"10.1016/j.chaos.2025.116708","title":"Stability analysis and bifurcations of a modified Nicholson–Bailey type model","year":2025,"lang":"en","type":"article","venue":"Chaos Solitons & Fractals","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Kansas State University","keywords":"Type (biology); Mathematics; Stability (learning theory); Applied mathematics; Calculus (dental); Mathematical analysis; Computer science; Geology; Medicine","score_opus":0.06611611009390739,"score_gpt":0.3677852413385116,"score_spread":0.3016691312446042,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412430602","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6642449,0.00048897386,0.31504375,0.0004674649,0.00006882691,0.00007700672,0.00010329561,0.00015194711,0.019353878],"genre_scores_gemma":[0.9910938,0.00012550985,0.006058587,0.000016991742,0.0000119532115,0.000043455446,0.000022151014,0.000010050946,0.0026175217],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99989784,0.000032166663,0.0000044659946,0.000021887092,0.000028423145,0.00001529165],"domain_scores_gemma":[0.99985385,0.000033909477,0.000053414038,0.000015356227,0.000022065358,0.00002137178],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024799543,0.00036732017,0.00046592846,0.0004622269,0.00042606876,0.00049579155,0.0007377473,0.0005465038,0.0012786016],"category_scores_gemma":[0.00060484686,0.00015184468,0.0005089389,0.00019601063,0.00070247194,0.0005288369,0.0006195779,0.00040688502,0.00012776004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000119009586,0.000056056026,0.0026825096,0.00009345464,0.0000748424,0.00043437863,0.0004544157,0.7629177,0.044086404,0.18230635,0.0005971907,0.0061776848],"study_design_scores_gemma":[0.0000094194575,0.000028218234,0.00039449724,0.0000034292493,0.000007629987,0.000042836462,0.000026228743,0.98856074,0.00068056094,0.009782122,0.00045536426,0.000008955458],"about_ca_topic_score_codex":0.004218808,"about_ca_topic_score_gemma":0.0015341655,"teacher_disagreement_score":0.004218808,"about_ca_system_score_codex":0.0007083569,"about_ca_system_score_gemma":0.00037877815,"threshold_uncertainty_score":0.008388519},"labels":[],"label_agreement":null},{"id":"W4412617760","doi":"10.55016/ojs/cdm.v12i1.62559","title":"ON THE SPECTRUM OF OCTAGON QUADRANGLE SYSTEMS OF ANY INDEX","year":2017,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Quadrangle; Mathematics; Index (typography); Spectrum (functional analysis); Combinatorics; Geography; Computer science; Archaeology; Physics","score_opus":0.031044708136879103,"score_gpt":0.33760125708704514,"score_spread":0.30655654895016604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412617760","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93978614,0.0005942262,0.02797253,0.00022124952,0.00004890876,0.00001758985,0.00019110006,0.00007065169,0.031097554],"genre_scores_gemma":[0.993672,0.0002601158,0.003809584,0.00004270502,0.000045659737,0.000029200277,0.00019079636,0.000032870383,0.0019171874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997603,0.000037871127,0.000010228984,0.000042981683,0.00007066842,0.0000778513],"domain_scores_gemma":[0.99939287,0.00022306919,0.00011713102,0.00005024888,0.00007878766,0.00013790316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022518865,0.00040633904,0.00046552846,0.001398053,0.0009439304,0.0010362956,0.000548127,0.00047082192,0.004234719],"category_scores_gemma":[0.0011462125,0.00021014782,0.00028372533,0.00055154425,0.0017038948,0.0013283469,0.00095860864,0.00055402616,0.000447434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001924516,0.00008815287,0.002733788,0.00010669194,0.000016320488,0.00041047786,0.0005817055,0.017847247,0.010084892,0.9525748,0.0022452353,0.01311816],"study_design_scores_gemma":[0.00004246981,0.000077362776,0.002201193,0.000059948088,0.000007991591,0.00030474825,0.000419751,0.093358964,0.0020014937,0.89882195,0.002676839,0.000027389988],"about_ca_topic_score_codex":0.00092690747,"about_ca_topic_score_gemma":0.0007511818,"teacher_disagreement_score":0.004234719,"about_ca_system_score_codex":0.0005159006,"about_ca_system_score_gemma":0.0003123894,"threshold_uncertainty_score":0.014166594},"labels":[],"label_agreement":null},{"id":"W4413003783","doi":"10.1016/j.nonrwa.2025.104474","title":"Global and non-global center conditions of generalized Liénard systems","year":2025,"lang":"en","type":"article","venue":"Nonlinear Analysis Real World Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Key Research and Development Program of China; Zhejiang Normal University; Western University","keywords":"Center (category theory); Liénard equation; Mathematics; Physics; Mathematical analysis; Differential equation","score_opus":0.014998733836662411,"score_gpt":0.3559473259442849,"score_spread":0.3409485921076225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413003783","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78821146,0.0011552355,0.118857205,0.0017129874,0.00031325204,0.00009945716,0.00029820946,0.0001735813,0.089178585],"genre_scores_gemma":[0.9882472,0.00028688417,0.0032687895,0.00012917278,0.00013974181,0.00004197467,0.00012848867,0.000080688216,0.007677126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977213,0.00005572391,0.00000823537,0.000043680007,0.00004881541,0.00007143555],"domain_scores_gemma":[0.9991518,0.00018837249,0.00012594195,0.000054643933,0.0001961136,0.00028313062],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060406246,0.00059757626,0.0011033509,0.0012499606,0.0013256408,0.002106188,0.0008953068,0.0008544681,0.0065874746],"category_scores_gemma":[0.0017535724,0.0003162113,0.0006115417,0.0004201098,0.0020408449,0.0027889328,0.0022785875,0.0012391873,0.0003687566],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007137307,0.000033415472,0.00051795656,0.000040732124,0.00002152582,0.00015087161,0.00015731792,0.01672314,0.0024460894,0.9763158,0.0014003419,0.0021214983],"study_design_scores_gemma":[0.00007000435,0.00007558865,0.0013328176,0.000019211599,0.000017999586,0.00009041577,0.00037590443,0.21843725,0.0010790096,0.77689624,0.0015627965,0.000042852098],"about_ca_topic_score_codex":0.003592266,"about_ca_topic_score_gemma":0.0025114121,"teacher_disagreement_score":0.0065874746,"about_ca_system_score_codex":0.000906517,"about_ca_system_score_gemma":0.0011077336,"threshold_uncertainty_score":0.022037327},"labels":[],"label_agreement":null},{"id":"W4413005256","doi":"10.4171/jems/1697","title":"Quartic polynomials in two variables do not represent all non-negative integers","year":2025,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Northern British Columbia","funders":"","keywords":"Mathematics; Quartic function; Quartic surface; Pure mathematics; Combinatorics","score_opus":0.03203338880037045,"score_gpt":0.3434033218789416,"score_spread":0.3113699330785712,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413005256","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6186388,0.0018299827,0.24200061,0.0052510295,0.0015907234,0.00007173891,0.00028402233,0.00026645066,0.13006663],"genre_scores_gemma":[0.9665326,0.000581327,0.019629035,0.0005880984,0.00017905781,0.000039288196,0.00015169884,0.00006405654,0.012234888],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913055,0.00014272817,0.00004289222,0.00021076865,0.00017799555,0.00029509363],"domain_scores_gemma":[0.99718237,0.0012297285,0.00048457854,0.0005266302,0.00038329276,0.00019346613],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011044961,0.000554183,0.00069726456,0.00068560767,0.0015872213,0.0023464086,0.0009592058,0.00086144183,0.0062284837],"category_scores_gemma":[0.006651684,0.00031530854,0.00071858737,0.0010872035,0.00300773,0.0047101225,0.0015786407,0.002992971,0.0010509439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012240415,0.000039032002,0.0010193456,0.000116696516,0.000012741199,0.0004136403,0.00043695956,0.000979609,0.0021507677,0.98276687,0.0024717806,0.009470123],"study_design_scores_gemma":[0.00003766725,0.000050005994,0.00039228023,0.000029026744,0.000016030808,0.00046207826,0.00021607979,0.0060489923,0.0014006185,0.9832977,0.008031562,0.000017965747],"about_ca_topic_score_codex":0.00054540817,"about_ca_topic_score_gemma":0.0008445933,"teacher_disagreement_score":0.0062284837,"about_ca_system_score_codex":0.00049890764,"about_ca_system_score_gemma":0.0005225211,"threshold_uncertainty_score":0.020836353},"labels":[],"label_agreement":null},{"id":"W4413735136","doi":"10.4153/s0008439525100805","title":"Integer solutions of the generalized polynomial Pell equations and their finiteness: The quadratic case","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Integer (computer science); Quadratic equation; Polynomial; Quadratic function; Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Geometry","score_opus":0.033424913368198465,"score_gpt":0.2680181887632418,"score_spread":0.23459327539504332,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413735136","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78756845,0.00083025044,0.13576853,0.0019585758,0.00020871736,0.00006672878,0.00020344794,0.0002075536,0.07318778],"genre_scores_gemma":[0.9612931,0.0003437391,0.023778845,0.00025264407,0.00017642007,0.00005742776,0.00017946577,0.00008906918,0.013829231],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994822,0.00011188726,0.00001866533,0.00008393173,0.00017292639,0.00013046274],"domain_scores_gemma":[0.9992299,0.0003309788,0.000143556,0.000068516754,0.00012153326,0.00010556546],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053485396,0.0007264062,0.0006398369,0.0010444437,0.0008445555,0.0012838311,0.0010759076,0.00076121517,0.0072045918],"category_scores_gemma":[0.004164057,0.0003122438,0.0006076614,0.0007518561,0.0025038098,0.0020746833,0.0013636195,0.0016510669,0.00048851094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000613875,0.00003778942,0.0005395445,0.00008918108,0.000010370676,0.00022554435,0.00017229757,0.013402313,0.003126703,0.97328466,0.0010802078,0.007969892],"study_design_scores_gemma":[0.00007052149,0.000071055285,0.00063622487,0.00003602689,0.000010618142,0.00024834528,0.00017240658,0.09749533,0.002190034,0.8950635,0.0039592586,0.000046578487],"about_ca_topic_score_codex":0.0025160764,"about_ca_topic_score_gemma":0.0022380892,"teacher_disagreement_score":0.0072045918,"about_ca_system_score_codex":0.0010659157,"about_ca_system_score_gemma":0.0008383001,"threshold_uncertainty_score":0.024101734},"labels":[],"label_agreement":null},{"id":"W4414268727","doi":"10.4153/s0008414x25101557","title":"On (2,2)-decomposable genus 4 Jacobians","year":2025,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Quartic function; Jacobian matrix and determinant; Genus; Quartic plane curve; Abelian group; Locus (genetics); Dimension (graph theory)","score_opus":0.026452035821180796,"score_gpt":0.2985088827025117,"score_spread":0.2720568468813309,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414268727","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96942264,0.00020288084,0.005871384,0.00019711068,0.000055078377,0.000024217563,0.00005031514,0.00007884077,0.024097454],"genre_scores_gemma":[0.993214,0.0001486327,0.0018805683,0.000038214243,0.00006284292,0.000013939378,0.00009961848,0.00004243989,0.00449974],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996394,0.000035795983,0.000015982803,0.000071692564,0.00011218856,0.00012506197],"domain_scores_gemma":[0.9997042,0.000049612932,0.00006637077,0.000043557113,0.000038601942,0.000097626464],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028521512,0.0007663797,0.00058383495,0.0017955081,0.0015370899,0.0016105743,0.0005844081,0.0008977417,0.0055102776],"category_scores_gemma":[0.0010259603,0.00029823952,0.00055363413,0.00051753136,0.0023725857,0.0019215755,0.0021905287,0.0008967804,0.0005668941],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032067555,0.0001417691,0.009634025,0.00012148505,0.000028382114,0.0070456276,0.0029079104,0.012412445,0.029898178,0.9127239,0.0018502383,0.022915311],"study_design_scores_gemma":[0.00008528585,0.00025524863,0.015689991,0.000090366506,0.000032164986,0.0034882813,0.002464333,0.034670934,0.010443468,0.91744953,0.015248935,0.00008147428],"about_ca_topic_score_codex":0.0010151771,"about_ca_topic_score_gemma":0.0005628483,"teacher_disagreement_score":0.0055102776,"about_ca_system_score_codex":0.001118688,"about_ca_system_score_gemma":0.00029957521,"threshold_uncertainty_score":0.01843369},"labels":[],"label_agreement":null},{"id":"W4414920001","doi":"10.48550/arxiv.2507.23241","title":"Scaling limits of multitype Bienaymé trees","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Austrian Science Fund; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Scaling limit; Scaling; Infinity; Sequence (biology); Random tree; Limit (mathematics); Exponential function; Tree (set theory)","score_opus":0.13213538230446814,"score_gpt":0.37036522953902445,"score_spread":0.2382298472345563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414920001","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8695984,0.0006296832,0.11404497,0.00046225562,0.000058859376,0.00004903863,0.00013925218,0.00017437477,0.014843096],"genre_scores_gemma":[0.99084187,0.00019941968,0.005956136,0.00007573248,0.000046244204,0.000030177955,0.00008783663,0.000028931157,0.002733616],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996457,0.000058625905,0.000014421682,0.00007969147,0.00009618348,0.0001053589],"domain_scores_gemma":[0.9972626,0.00085178844,0.0005878795,0.00020152998,0.00038635955,0.000709885],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009155239,0.0004329126,0.00055828143,0.0017040994,0.0011066787,0.0018005403,0.001006895,0.0008680914,0.0027061712],"category_scores_gemma":[0.006538766,0.0003308803,0.00047124957,0.0006459733,0.0017712404,0.002097547,0.001323032,0.0014037752,0.00026615718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000071391914,0.0000544567,0.0037929504,0.00007090027,0.000021449236,0.0004686262,0.00034777034,0.01748556,0.007886261,0.96399283,0.00081868685,0.004989047],"study_design_scores_gemma":[0.000020882482,0.000070007045,0.003689322,0.000055031654,0.000023648177,0.00045890885,0.00030022505,0.2730102,0.004172293,0.71599877,0.0021630723,0.000037629212],"about_ca_topic_score_codex":0.0011670119,"about_ca_topic_score_gemma":0.0012376851,"teacher_disagreement_score":0.0027061712,"about_ca_system_score_codex":0.0013664712,"about_ca_system_score_gemma":0.0004154769,"threshold_uncertainty_score":0.009914458},"labels":[],"label_agreement":null},{"id":"W4415032271","doi":"10.4230/lipics.approx/random.2025.42","title":"On the Spectral Expansion of Monotone Subsets of the Hypercube","year":2025,"lang":"en","type":"article","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monotone polygon; Upper and lower bounds; Hypercube; Spectral properties; Spectral gap; Mixing (physics)","score_opus":0.04860953554345396,"score_gpt":0.3040964098917909,"score_spread":0.25548687434833695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415032271","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.584096,0.0008081556,0.37871236,0.001395087,0.00008915016,0.00007711639,0.00035316986,0.00021863819,0.0342503],"genre_scores_gemma":[0.9517493,0.00053774775,0.04221972,0.0004009418,0.00010726909,0.00019790692,0.0003190541,0.000104026985,0.004364046],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938834,0.00024519046,0.000016929906,0.00010584805,0.00012732559,0.00011631289],"domain_scores_gemma":[0.9960925,0.0028266925,0.00035516714,0.00020998472,0.00022586995,0.00028976952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000859375,0.00046862126,0.0005107567,0.0009945134,0.00063842884,0.0009563322,0.00093853084,0.00064037007,0.00441014],"category_scores_gemma":[0.0064381575,0.00032195944,0.00049121195,0.0006659047,0.0016041503,0.0028071268,0.0015694884,0.0012536497,0.00037078245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012942319,0.000042022206,0.00087196555,0.00010350054,0.000015976913,0.00014788263,0.0003253677,0.03819556,0.008845794,0.9400899,0.0015879015,0.009644736],"study_design_scores_gemma":[0.000030033769,0.00006920139,0.00092935195,0.000036690526,0.000009038281,0.00015034222,0.00017436779,0.37071094,0.0033404226,0.622544,0.0019858663,0.00001969531],"about_ca_topic_score_codex":0.0009531766,"about_ca_topic_score_gemma":0.0007392728,"teacher_disagreement_score":0.00441014,"about_ca_system_score_codex":0.00088621775,"about_ca_system_score_gemma":0.0003233748,"threshold_uncertainty_score":0.014753401},"labels":[],"label_agreement":null},{"id":"W4415464453","doi":"10.1017/etds.2025.10242","title":"Generic unfolding of an antiholomorphic parabolic point of codimension <i>k</i>","year":2025,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Holomorphic function; Codimension; Conjugacy class; Fixed point; Point (geometry); Modulus","score_opus":0.016451693345167624,"score_gpt":0.2937639659735367,"score_spread":0.2773122726283691,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415464453","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9749268,0.000105123465,0.018278316,0.0001365128,0.00003552845,0.000023420518,0.000064673775,0.000072991475,0.006356532],"genre_scores_gemma":[0.9938159,0.00008064607,0.0033486167,0.000021548187,0.000027982873,0.000018062105,0.00010907157,0.000025086676,0.002553048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997397,0.000025437123,0.000017619612,0.00007754663,0.00006729103,0.00007227589],"domain_scores_gemma":[0.9994516,0.00004644734,0.00019670429,0.000079944446,0.00006194677,0.00016331203],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038117796,0.00046889178,0.00037030628,0.0010378229,0.001198344,0.0015870022,0.00038183955,0.00061963574,0.003198224],"category_scores_gemma":[0.00087849563,0.00019571798,0.0005388848,0.00042817948,0.0022613173,0.0017237343,0.0016395631,0.0008472387,0.0003335499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039759817,0.00014837137,0.026291143,0.00018289594,0.00007725631,0.0026175522,0.002418003,0.008016759,0.10823688,0.82063437,0.0014708405,0.029508334],"study_design_scores_gemma":[0.000075567084,0.000973796,0.053793978,0.00015447827,0.000092535454,0.0060671996,0.0032094077,0.060965527,0.08265436,0.76966316,0.022212252,0.00013778447],"about_ca_topic_score_codex":0.00024150044,"about_ca_topic_score_gemma":0.00014969388,"teacher_disagreement_score":0.003198224,"about_ca_system_score_codex":0.00091965316,"about_ca_system_score_gemma":0.0002408986,"threshold_uncertainty_score":0.010699153},"labels":[],"label_agreement":null},{"id":"W4415756577","doi":"10.1016/j.cnsns.2025.109482","title":"Limit cycle bifurcations of a non-polynomial analytic model with infinite nilpotent centers","year":2025,"lang":"en","type":"article","venue":"Communications in Nonlinear Science and Numerical Simulation","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Limit cycle; Nilpotent; Limit (mathematics); Polynomial; Chebyshev filter; Upper and lower bounds; Analytic function; Function (biology); Diophantine equation","score_opus":0.046290725258033856,"score_gpt":0.37593248941092605,"score_spread":0.3296417641528922,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415756577","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8451569,0.00061240647,0.09931183,0.0014867088,0.00024719728,0.00007610993,0.0001305272,0.00032788885,0.052650414],"genre_scores_gemma":[0.9929242,0.000091057016,0.002786977,0.00004139467,0.000040464343,0.000019282294,0.00002427276,0.000029551147,0.0040426548],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99985135,0.00004415311,0.000006895519,0.000023153412,0.000037923004,0.000036487247],"domain_scores_gemma":[0.99946743,0.00014705541,0.00009628572,0.000050124447,0.000088054665,0.00015113325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044236353,0.00046926131,0.0009121504,0.0014532096,0.0011631137,0.0019037493,0.0011679862,0.0013306392,0.003642422],"category_scores_gemma":[0.0019101796,0.0002605223,0.0007027237,0.0004368028,0.0016358902,0.001705647,0.001425239,0.000855002,0.0003645322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014330076,0.000097194425,0.0008220038,0.0000831264,0.000039758474,0.00046337172,0.00036342657,0.083954975,0.008022476,0.9015941,0.0010596741,0.00335666],"study_design_scores_gemma":[0.000034951743,0.000046166544,0.00036439524,0.000012746158,0.000018219118,0.000176485,0.0001084962,0.7231495,0.0012192373,0.27395,0.0008933834,0.000026374557],"about_ca_topic_score_codex":0.0016379335,"about_ca_topic_score_gemma":0.0008745981,"teacher_disagreement_score":0.003642422,"about_ca_system_score_codex":0.0012437014,"about_ca_system_score_gemma":0.000844376,"threshold_uncertainty_score":0.012185097},"labels":[],"label_agreement":null},{"id":"W4415924858","doi":"10.14232/ejqtde.2025.1.60","title":"Configurations of quadratic systems possessing three distinct infinite singularities and one or more invariant parabolas","year":2025,"lang":"en","type":"article","venue":"Electronic journal of qualitative theory of differential equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Invariant (physics); Gravitational singularity; Modulo; Affine transformation; Quadratic equation; Quadratic differential","score_opus":0.10652772948689042,"score_gpt":0.4023012076264352,"score_spread":0.29577347813954474,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415924858","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72171086,0.0009951837,0.094135605,0.0010288247,0.00041911006,0.00013447888,0.0010212507,0.0007803163,0.17977442],"genre_scores_gemma":[0.9739014,0.0003225559,0.009169652,0.00013699959,0.00011319085,0.000059991726,0.0006775669,0.00009952856,0.015519161],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99944717,0.0000819055,0.000030250547,0.00013030112,0.00015629291,0.00015405806],"domain_scores_gemma":[0.9994578,0.000095115225,0.00012103753,0.000070693204,0.00010800325,0.00014747167],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027727653,0.0006025617,0.00048512648,0.0017468918,0.0016375763,0.002018108,0.0010319032,0.00078419835,0.014842961],"category_scores_gemma":[0.001383699,0.00030887002,0.00045621785,0.0010669616,0.0024294644,0.0017885069,0.001933303,0.0011097081,0.0018743889],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010471119,0.000046103756,0.0012592239,0.00012425835,0.000019650553,0.00092157495,0.00045321186,0.0077115227,0.004434903,0.9658075,0.0041057714,0.0150116645],"study_design_scores_gemma":[0.00009468943,0.00018268931,0.002766522,0.00007094102,0.000024429786,0.0015905469,0.0010055557,0.040020823,0.0053182407,0.9322427,0.016556296,0.00012657174],"about_ca_topic_score_codex":0.0011991583,"about_ca_topic_score_gemma":0.001012945,"teacher_disagreement_score":0.014842961,"about_ca_system_score_codex":0.00095916365,"about_ca_system_score_gemma":0.00054212246,"threshold_uncertainty_score":0.049654663},"labels":[],"label_agreement":null},{"id":"W4415951229","doi":"10.1215/00127094-2025-0016","title":"Abelian varieties not isogenous to Jacobians over global fields","year":2025,"lang":"","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Abelian group; Abelian variety; Field (mathematics); Algebra over a field; Abelian variety of CM-type","score_opus":0.021590089666261875,"score_gpt":0.3321565992620064,"score_spread":0.31056650959574456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415951229","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81993663,0.0006488963,0.020052148,0.0011352305,0.0008196867,0.00009960946,0.00024208367,0.00041461948,0.15665114],"genre_scores_gemma":[0.96914536,0.00037246526,0.002255993,0.00020242494,0.0004905339,0.00003493367,0.00028902167,0.00013562643,0.02707366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890697,0.00016687447,0.00005175533,0.00027371207,0.00025628164,0.00034437788],"domain_scores_gemma":[0.9978231,0.0005736324,0.00038424015,0.00030772973,0.00028950055,0.00062176335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092397875,0.0011687018,0.0014014248,0.0043713716,0.0033544481,0.0056885793,0.0011750405,0.0012242356,0.009386762],"category_scores_gemma":[0.0030861557,0.0007870833,0.0010114999,0.0019611649,0.005263111,0.008853315,0.003911874,0.0039592586,0.0011940963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014251105,0.0000704647,0.00066062715,0.000035705725,0.000018155313,0.00033378977,0.00056795235,0.00042621253,0.0016299598,0.991964,0.0008365167,0.0033140818],"study_design_scores_gemma":[0.00007755132,0.000097471166,0.0017475834,0.000022051612,0.000038505783,0.00051007426,0.0005306252,0.0012346077,0.0010859544,0.9886451,0.0059802295,0.000030344894],"about_ca_topic_score_codex":0.00074898096,"about_ca_topic_score_gemma":0.00065667444,"teacher_disagreement_score":0.009386762,"about_ca_system_score_codex":0.0014415125,"about_ca_system_score_gemma":0.00066990184,"threshold_uncertainty_score":0.031401813},"labels":[],"label_agreement":null},{"id":"W4415958546","doi":"10.48550/arxiv.2510.07416","title":"On Modified Diagonal Cycles and the Beauville Decomposition of the Ceresa Cycle","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Diagonal; Embedding; Torsion (gastropod); Divisor (algebraic geometry); Main diagonal; Class (philosophy); Component (thermodynamics)","score_opus":0.04250648760061351,"score_gpt":0.3297703886390986,"score_spread":0.2872639010384851,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415958546","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7898993,0.0015832583,0.030320328,0.00063980947,0.00037789822,0.000041714728,0.00014794545,0.00016041433,0.17682946],"genre_scores_gemma":[0.95995456,0.000924621,0.008594609,0.00022468762,0.0002654303,0.000028684084,0.00024949427,0.00015529379,0.02960269],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996383,0.000044087992,0.000011942425,0.000073422314,0.00011659423,0.00011569053],"domain_scores_gemma":[0.999788,0.00002341221,0.000046542005,0.000023585622,0.000044038785,0.00007427701],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002695372,0.0008292687,0.00045663962,0.0024622057,0.0012703852,0.0017843974,0.0006118241,0.0007425149,0.005358686],"category_scores_gemma":[0.0007613258,0.00033603582,0.00064993236,0.0010401446,0.0020468624,0.0017947006,0.001521412,0.0012183186,0.00081716303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042265714,0.000017321367,0.00036306484,0.000021646072,0.0000057230654,0.00016527163,0.0003249152,0.0014157965,0.0032777959,0.9869537,0.00056651735,0.0068459786],"study_design_scores_gemma":[0.00002417404,0.00008877139,0.001900079,0.00005587817,0.00001394944,0.0003494018,0.0002673268,0.01696437,0.0030187524,0.962016,0.015255605,0.000045727287],"about_ca_topic_score_codex":0.003996167,"about_ca_topic_score_gemma":0.0041829273,"teacher_disagreement_score":0.005358686,"about_ca_system_score_codex":0.0014434253,"about_ca_system_score_gemma":0.0005096233,"threshold_uncertainty_score":0.017926633},"labels":[],"label_agreement":null},{"id":"W4416068392","doi":"10.3390/appliedmath5040161","title":"Whittaker-Type Differential Equation: A Solution via Integral Functions","year":2025,"lang":"en","type":"article","venue":"AppliedMath","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Boundary value problem; Differential (mechanical device); Differential equation; Integral equation; Function (biology); Functional differential equation; Partial differential equation; Value (mathematics)","score_opus":0.03978359655852508,"score_gpt":0.30861179304429726,"score_spread":0.26882819648577216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416068392","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23744954,0.001967024,0.7268339,0.0011327448,0.00023661838,0.000050833103,0.00006502111,0.00011298906,0.03215134],"genre_scores_gemma":[0.9098033,0.001531041,0.063732535,0.0002753576,0.00022798445,0.000068244175,0.00007912833,0.000065532535,0.024216885],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99980146,0.000060294955,0.000010304228,0.000036910435,0.000054551176,0.00003657161],"domain_scores_gemma":[0.99959844,0.00015031427,0.000080431884,0.000027211454,0.00007871027,0.00006488129],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007572128,0.0006742673,0.00072254124,0.0006932334,0.00059879257,0.0012495208,0.00078636734,0.0015589799,0.0020498645],"category_scores_gemma":[0.0015607895,0.00024426682,0.0007037078,0.0005738714,0.001720096,0.0020715431,0.0011666779,0.0011910405,0.0002852056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025947635,0.000044437278,0.0006054017,0.00011035335,0.00002166551,0.0006160559,0.00034108045,0.050095767,0.009123971,0.93387234,0.0005241722,0.004618851],"study_design_scores_gemma":[0.00002054898,0.00007290591,0.00046446105,0.00003614612,0.000021788956,0.0004878447,0.00022747234,0.6656335,0.0031113494,0.32717946,0.0027126623,0.00003196626],"about_ca_topic_score_codex":0.0010502607,"about_ca_topic_score_gemma":0.00069796154,"teacher_disagreement_score":0.0020498645,"about_ca_system_score_codex":0.0005608588,"about_ca_system_score_gemma":0.00068493333,"threshold_uncertainty_score":0.006857455},"labels":[],"label_agreement":null},{"id":"W4416146253","doi":"10.48550/arxiv.2510.14870","title":"Computation of attractor dimension and maximal sums of Lyapunov exponents using polynomial optimization","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Alliance de recherche numérique du Canada","keywords":"Lyapunov exponent; Lyapunov function; Polynomial; Bounded function; Attractor; Dynamical systems theory; Upper and lower bounds; Lyapunov equation","score_opus":0.1154249349082426,"score_gpt":0.3547827108534447,"score_spread":0.2393577759452021,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416146253","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016324386,0.00018189436,0.9812176,0.00007891059,0.00001500006,0.000014009181,0.00004746351,0.0002504709,0.0018702099],"genre_scores_gemma":[0.5296638,0.00038817473,0.46686107,0.00006068236,0.000056471195,0.0001352198,0.00030366075,0.0002650107,0.0022659367],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961436,0.00009626681,0.00003374298,0.00008031972,0.00012204656,0.000053240197],"domain_scores_gemma":[0.9979625,0.0013287681,0.00021261942,0.00019551325,0.00020166238,0.0000990213],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010135652,0.001213696,0.00084647414,0.0012850772,0.00042195444,0.001057484,0.00079776504,0.00065563165,0.0020977436],"category_scores_gemma":[0.0049499064,0.00042765203,0.0007178016,0.000692187,0.0009939986,0.0015939554,0.0013856388,0.001405132,0.00040449362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008015674,0.000030311405,0.0011275703,0.00012955055,0.000053543466,0.00007036505,0.000095972566,0.84167624,0.008455544,0.085821986,0.00084204174,0.061616674],"study_design_scores_gemma":[0.0000025106026,0.000009519059,0.00013723841,0.0000087337885,0.0000039453917,0.000008452582,0.000005726387,0.97871804,0.0014708712,0.019247372,0.0003808862,0.000006683636],"about_ca_topic_score_codex":0.0016808906,"about_ca_topic_score_gemma":0.001986162,"teacher_disagreement_score":0.0020977436,"about_ca_system_score_codex":0.0010033099,"about_ca_system_score_gemma":0.000808844,"threshold_uncertainty_score":0.007279575},"labels":[],"label_agreement":null},{"id":"W4416382625","doi":"10.5539/jmr.v17n4p1","title":"Special Issue Introduction","year":2025,"lang":"","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Focus (optics); Selection (genetic algorithm); Thematic map; Differential (mechanical device); Calculus (dental)","score_opus":0.0853902618777995,"score_gpt":0.4470243856599914,"score_spread":0.36163412378219195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416382625","genre_codex":"editorial","genre_gemma":"editorial","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"editorial","genre_consensus":"editorial","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00043653316,0.00868581,0.0010958561,0.032298688,0.86496127,0.00018708175,0.00231134,0.00086088455,0.08916249],"genre_scores_gemma":[0.0030665745,0.01387602,0.001053305,0.023106607,0.59549695,0.00024980705,0.0044057337,0.0010147823,0.3577302],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99822205,0.0001666931,0.00015395363,0.0003549035,0.00087754393,0.00022486546],"domain_scores_gemma":[0.9929598,0.001123116,0.0004434457,0.0004873927,0.0031552536,0.0018310025],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0018384903,0.0015943933,0.0014991009,0.00296908,0.0018782145,0.007156779,0.0023068038,0.0041975593,0.3556485],"category_scores_gemma":[0.010599303,0.00054347795,0.0013082941,0.0017311538,0.00078501675,0.0040156944,0.0029263366,0.004046167,0.22356462],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016359729,0.0000132796295,0.000044839788,0.0001386735,0.0000027686428,0.00003808564,0.000012610354,0.000020911424,0.00010922551,0.0006147303,0.98251766,0.01647073],"study_design_scores_gemma":[0.000005961636,0.000017878077,0.00015988291,0.00012231614,0.000003668807,0.00011197064,0.000018951714,0.00002502996,0.00006946795,0.00062163157,0.99883825,0.0000050015306],"about_ca_topic_score_codex":0.0008526317,"about_ca_topic_score_gemma":0.0012669088,"teacher_disagreement_score":0.3556485,"about_ca_system_score_codex":0.0014889027,"about_ca_system_score_gemma":0.0028304658,"threshold_uncertainty_score":0.9190892},"labels":[],"label_agreement":null},{"id":"W4416830747","doi":"10.48550/arxiv.2509.22374","title":"Decomposing the automorphism group of the surreal numbers","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Vector Stiftung; Fonds De La Recherche Scientifique - FNRS; National Science Foundation","keywords":"Automorphism; Group (periodic table); Automorphism group; Connection (principal bundle); Product (mathematics); Field (mathematics); Structured program theorem; Automorphisms of the symmetric and alternating groups","score_opus":0.06905758286934954,"score_gpt":0.33608436085388615,"score_spread":0.2670267779845366,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416830747","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7388802,0.0009836872,0.18397115,0.0008585823,0.00032371547,0.000095293566,0.00011463769,0.00014765338,0.07462507],"genre_scores_gemma":[0.96178216,0.0008109648,0.020082053,0.0001075166,0.00025434996,0.00004017192,0.000112078196,0.00005991852,0.016750852],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971133,0.00006574542,0.000012197048,0.00006261978,0.00008188449,0.000066270106],"domain_scores_gemma":[0.99941945,0.00014931505,0.0001338422,0.000115761424,0.000092085655,0.00008960291],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038066995,0.0005494988,0.0002523943,0.0008861468,0.00057587115,0.0013857749,0.00035663083,0.0003762514,0.004397016],"category_scores_gemma":[0.0011754989,0.00013395541,0.0005238853,0.00032079397,0.0023558238,0.0020367613,0.0011452471,0.0008744452,0.0008579624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002490262,0.000024137551,0.0009066243,0.00002906196,0.000007828697,0.00021495127,0.00057386444,0.0028200422,0.0054894313,0.98085165,0.00029920516,0.008758478],"study_design_scores_gemma":[0.0000108157465,0.00006202322,0.0009432894,0.000023162289,0.000009358535,0.00026982647,0.00026271565,0.013695452,0.003020912,0.9714857,0.01019992,0.000016800905],"about_ca_topic_score_codex":0.0008094369,"about_ca_topic_score_gemma":0.00062647415,"teacher_disagreement_score":0.004397016,"about_ca_system_score_codex":0.00065887574,"about_ca_system_score_gemma":0.00043782266,"threshold_uncertainty_score":0.014709473},"labels":[],"label_agreement":null},{"id":"W575844023","doi":"10.71781/15741","title":"Séries universelles dans CN et sur les surfaces de Riemann non compactes","year":2008,"lang":"fr","type":"dissertation","venue":"Open MIND","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics","score_opus":0.06927041007802227,"score_gpt":0.34042770981261783,"score_spread":0.27115729973459557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W575844023","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5719198,0.0035452743,0.03974963,0.002471605,0.0007470818,0.00008081929,0.0006902838,0.00036734922,0.3804281],"genre_scores_gemma":[0.8258505,0.0038373005,0.015652286,0.0002511643,0.00077185413,0.00012444532,0.0008407931,0.00019749039,0.15247416],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938107,0.00012369009,0.000016264452,0.00009117595,0.00028030734,0.0001073586],"domain_scores_gemma":[0.998744,0.00042458496,0.00018401464,0.000080375554,0.00028384704,0.000283092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011290401,0.0019687787,0.0007249926,0.0048090476,0.0018187463,0.004175785,0.00078291487,0.00074236,0.007856127],"category_scores_gemma":[0.0030173971,0.00028022006,0.00073122984,0.0025959266,0.003394476,0.0037763156,0.0010884544,0.0025990782,0.00093380484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044177425,0.000020410853,0.0003938041,0.00005898764,0.000013079362,0.00020262804,0.00065312453,0.0028601552,0.0024194214,0.98261154,0.0015817806,0.009140839],"study_design_scores_gemma":[0.00006840619,0.00008151195,0.0064455806,0.00010220008,0.000026071895,0.0007669635,0.00058078335,0.022117112,0.0034134844,0.9315068,0.034843326,0.000047697275],"about_ca_topic_score_codex":0.016750012,"about_ca_topic_score_gemma":0.0136537785,"teacher_disagreement_score":0.016750012,"about_ca_system_score_codex":0.00604144,"about_ca_system_score_gemma":0.0015888982,"threshold_uncertainty_score":0.04383391},"labels":[],"label_agreement":null},{"id":"W577020909","doi":"10.71781/15126","title":"Classification analytique de systèmes différentiels linéaires déployant une singularité irrégulière de rang de Poincaré 1","year":2010,"lang":"fr","type":"dissertation","venue":"Papyrus : Institutional Repository (Université de Montréal)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Humanities; Philosophy; Physics; Computer science","score_opus":0.00890089669898627,"score_gpt":0.21590121228167436,"score_spread":0.20700031558268808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W577020909","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36848974,0.0021214718,0.5938019,0.0010262681,0.00016397395,0.00009406501,0.00023080916,0.00044766997,0.033624068],"genre_scores_gemma":[0.94445044,0.0011999594,0.0355677,0.00015890543,0.00023514908,0.000112475005,0.00049764785,0.00015941286,0.017618334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903905,0.00016624191,0.000059283062,0.00021009374,0.0003537596,0.0001715643],"domain_scores_gemma":[0.9961499,0.0015230702,0.0006467266,0.00021303463,0.001076974,0.00039030344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00136303,0.0009209338,0.00092178094,0.0028525358,0.0012895984,0.0029900784,0.0008445595,0.0012577514,0.0073353546],"category_scores_gemma":[0.004656993,0.00047233616,0.0012491607,0.00094417366,0.002642242,0.002864115,0.0017817045,0.0021767074,0.0009049998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016645077,0.0000619627,0.009844816,0.0003318009,0.00009139818,0.00055701856,0.0010922918,0.059594817,0.021837316,0.8739211,0.0022623416,0.030238543],"study_design_scores_gemma":[0.000018398458,0.0002531182,0.006680932,0.00012762587,0.000058186877,0.00067891023,0.00053047756,0.5645823,0.008930845,0.40831608,0.009732408,0.00009061377],"about_ca_topic_score_codex":0.0024910897,"about_ca_topic_score_gemma":0.00089062,"teacher_disagreement_score":0.0073353546,"about_ca_system_score_codex":0.0021523854,"about_ca_system_score_gemma":0.00065135234,"threshold_uncertainty_score":0.024539232},"labels":[],"label_agreement":null},{"id":"W603547344","doi":"10.1016/j.cam.2015.05.016","title":"Rigorous numerics for piecewise-smooth systems: A functional analytic approach based on Chebyshev series","year":2015,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Mathematics; Piecewise; Chebyshev polynomials; Chebyshev filter; Mathematical proof; Nonlinear system; Polynomial; Series (stratigraphy); Applied mathematics; Chebyshev nodes; Approximation theory; Mathematical analysis; Geometry","score_opus":0.0669811925778506,"score_gpt":0.2860668245940594,"score_spread":0.21908563201620881,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W603547344","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009417783,0.001018154,0.980789,0.0005598277,0.00027417278,0.00003565166,0.000050216047,0.00013990722,0.007715271],"genre_scores_gemma":[0.5992003,0.0043915794,0.3725904,0.0006731674,0.000893577,0.00032812566,0.0002504819,0.00086618157,0.020806178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992774,0.00033345696,0.000042656116,0.000053401014,0.00024251992,0.00005055834],"domain_scores_gemma":[0.9983359,0.0008313357,0.00013964591,0.0002116593,0.0003762394,0.000105326864],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025975397,0.0012939285,0.0012950388,0.0016887407,0.0008411791,0.0021974747,0.0016695703,0.0014927342,0.002974918],"category_scores_gemma":[0.006654511,0.00047833167,0.0010494101,0.00085583667,0.0023664539,0.0034687663,0.0021976482,0.0033059288,0.00042519253],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003218856,0.000041963583,0.00026226015,0.00021019085,0.000045207464,0.00011320221,0.00015985977,0.16355994,0.003669781,0.81636256,0.0016453225,0.013897445],"study_design_scores_gemma":[0.000004845677,0.000010670614,0.00007618411,0.000019351954,0.000006648138,0.000025397472,0.000019030213,0.8705695,0.00031577013,0.12747589,0.001465811,0.000010813698],"about_ca_topic_score_codex":0.001797455,"about_ca_topic_score_gemma":0.0012579784,"teacher_disagreement_score":0.002974918,"about_ca_system_score_codex":0.0010986399,"about_ca_system_score_gemma":0.0010550141,"threshold_uncertainty_score":0.013737261},"labels":[],"label_agreement":null},{"id":"W653924835","doi":"10.1142/s0218127416500267","title":"Analytic Integrability of Two Lopsided Systems","year":2016,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Linyi University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Limit (mathematics); Integrable system; Class (philosophy); Pure mathematics; Mathematics; Field (mathematics); Amplitude; Vector field; Mathematical physics; Mathematical analysis; Physics; Computer science; Quantum mechanics; Geometry; Artificial intelligence","score_opus":0.041212063674792854,"score_gpt":0.36178976423065606,"score_spread":0.3205777005558632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W653924835","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8558625,0.00051561673,0.10651601,0.000425664,0.000084361134,0.000066175475,0.000093485025,0.00016887077,0.03626726],"genre_scores_gemma":[0.9900148,0.00007773872,0.0065735322,0.000057171343,0.00001909072,0.000027775537,0.000049972372,0.000016655556,0.0031633205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99973065,0.00004159452,0.00001724161,0.000055537563,0.000092259215,0.00006267547],"domain_scores_gemma":[0.9995951,0.00008618789,0.00009395297,0.000052078154,0.000087556924,0.000085109066],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002741492,0.0003435228,0.00049671467,0.0008654234,0.00075426983,0.0013442021,0.0005201793,0.0006281512,0.004323912],"category_scores_gemma":[0.0012927423,0.00019997857,0.00042639865,0.0002566685,0.0014504201,0.0013102537,0.0011946207,0.0007254194,0.00025142016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014825005,0.000088722765,0.00315967,0.00010679018,0.000062957195,0.001164831,0.00072190695,0.025281208,0.030330544,0.9267067,0.0009153765,0.011313152],"study_design_scores_gemma":[0.00010598431,0.0001470686,0.0034207555,0.000040428135,0.000038881022,0.0009348869,0.00040547468,0.48284918,0.008185354,0.4989063,0.004871137,0.000094528164],"about_ca_topic_score_codex":0.0009187256,"about_ca_topic_score_gemma":0.0004067987,"teacher_disagreement_score":0.004323912,"about_ca_system_score_codex":0.000754976,"about_ca_system_score_gemma":0.00040586814,"threshold_uncertainty_score":0.014464915},"labels":[],"label_agreement":null},{"id":"W6930157476","doi":"10.5281/zenodo.11872947","title":"Fotomagazin pdf","year":2024,"lang":"en","type":"other","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Photography; Paraphernalia; Dysgeusia; Photojournalism; Feature (linguistics); Subpoena","score_opus":0.048930939610553184,"score_gpt":0.2953635700628262,"score_spread":0.24643263045227304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6930157476","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009549754,0.023565527,0.007222236,0.0041463706,0.0051342007,0.0009868435,0.016492007,0.00850432,0.9243987],"genre_scores_gemma":[0.029259756,0.018048082,0.0044591133,0.0024518,0.00064944825,0.00035141117,0.018198876,0.0014549852,0.92512643],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99964607,0.0000277143,0.000020233932,0.00006674578,0.00018095931,0.000058218087],"domain_scores_gemma":[0.9996531,0.00004165584,0.00002763126,0.000047929396,0.00013669253,0.00009294332],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00021383127,0.0009730277,0.0008081337,0.001483692,0.00070448924,0.0016602246,0.0008628988,0.001171419,0.3984977],"category_scores_gemma":[0.00093046593,0.0003618851,0.00054168026,0.0009416721,0.00037742575,0.0014235055,0.0011848062,0.0024738936,0.3178507],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00070274045,0.00026151902,0.00022789808,0.0013533526,0.000027835595,0.0005589316,0.000064723215,0.00020605355,0.057448182,0.0037294175,0.64158946,0.29382992],"study_design_scores_gemma":[0.00008275,0.00014648377,0.0006090559,0.0001139249,0.000015187682,0.00055025134,0.000023537843,0.00011508141,0.017762935,0.00045567134,0.9801088,0.000016333259],"about_ca_topic_score_codex":0.001933915,"about_ca_topic_score_gemma":0.002781856,"teacher_disagreement_score":0.6015023,"about_ca_system_score_codex":0.0007391794,"about_ca_system_score_gemma":0.00097476755,"threshold_uncertainty_score":0.85797},"labels":[],"label_agreement":null},{"id":"W6930185476","doi":"10.5281/zenodo.12000174","title":"discovery extreme science kit instructions pdf","year":2024,"lang":"en","type":"other","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Filter (signal processing); Limiting; Work (physics); Subpoena","score_opus":0.06816901334500043,"score_gpt":0.29497207788799495,"score_spread":0.22680306454299454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6930185476","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0015569763,0.0038954564,0.039855354,0.0032747663,0.0042517534,0.0019041302,0.081083864,0.04694354,0.8172341],"genre_scores_gemma":[0.0055831997,0.0043764757,0.020872323,0.0030844049,0.00072618225,0.0031148933,0.07055817,0.013307352,0.8783771],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9976616,0.00015866713,0.00013262473,0.0004034293,0.0014451472,0.00019861462],"domain_scores_gemma":[0.9969639,0.00049121736,0.00009417303,0.00055774587,0.0015275613,0.00036543206],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002202021,0.002045714,0.0026744695,0.003856774,0.0028113867,0.006217058,0.0051397695,0.0033794732,0.76385874],"category_scores_gemma":[0.0070294803,0.0025020598,0.0017885264,0.003164754,0.00086308137,0.0043424275,0.0038628369,0.0047174827,0.7781973],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009663654,0.00007206995,0.00007457088,0.0005944377,0.000017547756,0.00008654458,0.000048986094,0.00015706015,0.0077926423,0.0028988211,0.9347954,0.053365216],"study_design_scores_gemma":[0.000030745232,0.00003239938,0.00010113801,0.00005735935,0.000008419807,0.00010780098,0.000027349992,0.00014948397,0.0059679965,0.0009708809,0.9925224,0.000024078805],"about_ca_topic_score_codex":0.0015418879,"about_ca_topic_score_gemma":0.003757716,"teacher_disagreement_score":0.23614126,"about_ca_system_score_codex":0.0015616266,"about_ca_system_score_gemma":0.0026282882,"threshold_uncertainty_score":0.3368268},"labels":[],"label_agreement":null},{"id":"W6930356281","doi":"10.5281/zenodo.12115255","title":"Sae j1401 pdf","year":2024,"lang":"en","type":"other","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Brake; Hydraulic fluid; Cover (algebra); Truck; Doors","score_opus":0.05033766048271911,"score_gpt":0.2936550866017334,"score_spread":0.2433174261190143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6930356281","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0012220251,0.0010565256,0.0046106745,0.00091918465,0.0032386358,0.0002786921,0.017162431,0.0064190975,0.96509284],"genre_scores_gemma":[0.0030008538,0.0011285336,0.0015602895,0.00045394522,0.00022444845,0.000060095677,0.010819948,0.001915338,0.9808365],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99893516,0.000030493004,0.00003136066,0.000076852644,0.00081294164,0.000113206144],"domain_scores_gemma":[0.99825376,0.000075657656,0.00003859173,0.00016684202,0.0012662428,0.00019884855],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009096785,0.0016775612,0.0009354799,0.002384195,0.0013519229,0.0049917055,0.002241349,0.002279594,0.7250357],"category_scores_gemma":[0.0021228509,0.000875605,0.0012172619,0.001964379,0.00044501052,0.003279901,0.0021804764,0.0022271539,0.7059194],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000096933385,0.00004663831,0.00009766877,0.0002667859,0.000009190935,0.000083761915,0.000025457413,0.00037913173,0.006772055,0.002814668,0.9232019,0.066205814],"study_design_scores_gemma":[0.000009383898,0.000023986151,0.00026092713,0.000037331713,0.0000039440883,0.000063000545,0.000025924777,0.000119929966,0.0027568876,0.0003440563,0.9963427,0.000011912228],"about_ca_topic_score_codex":0.006730718,"about_ca_topic_score_gemma":0.008945543,"teacher_disagreement_score":0.27496427,"about_ca_system_score_codex":0.0017345845,"about_ca_system_score_gemma":0.0018131299,"threshold_uncertainty_score":0.39220315},"labels":[],"label_agreement":null},{"id":"W6930423973","doi":"10.5281/zenodo.11850687","title":"ics 100 pdf","year":2024,"lang":"en","type":"other","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Incident management; Event (particle physics); Incident report; Emergency management; Command and control; Course (navigation); Position (finance)","score_opus":0.0575099437534421,"score_gpt":0.3013313710448547,"score_spread":0.2438214272914126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6930423973","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00022784737,0.00032452028,0.0008169966,0.00059448427,0.0016268617,0.000149932,0.0028744887,0.0040670205,0.98931783],"genre_scores_gemma":[0.0008469887,0.00026278093,0.00037914686,0.00040371748,0.00026564987,0.000042464635,0.0019303194,0.001354277,0.9945147],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9990134,0.00006046956,0.000047434238,0.00013526357,0.0006249069,0.00011860464],"domain_scores_gemma":[0.99654144,0.00031612744,0.00008836767,0.00040533926,0.001979461,0.00066913007],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00065121305,0.001659116,0.001179488,0.002756993,0.002240352,0.009139346,0.0024083196,0.0026696993,0.951107],"category_scores_gemma":[0.0038669126,0.00091112586,0.0011390488,0.0022503962,0.0006962486,0.0051838816,0.002885332,0.0027996355,0.925964],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031556065,0.000035920195,0.000034667937,0.000113563336,0.0000024507885,0.000043380533,0.000027494805,0.000049061135,0.0005233218,0.001107917,0.9586881,0.039342485],"study_design_scores_gemma":[0.000010854026,0.000015799007,0.00014976991,0.00004594922,0.0000024322833,0.000055491873,0.000055375785,0.000050345363,0.00033064166,0.00036472725,0.99891114,0.0000075259327],"about_ca_topic_score_codex":0.004305753,"about_ca_topic_score_gemma":0.00895923,"teacher_disagreement_score":0.048892975,"about_ca_system_score_codex":0.0017115998,"about_ca_system_score_gemma":0.0016537139,"threshold_uncertainty_score":0.06973982},"labels":[],"label_agreement":null},{"id":"W6931471974","doi":"10.5683/sp3/ad6cwm","title":"Enquête sur les voyages des résidents du Canada, 2016 : fichier des personnes, mars","year":2017,"lang":"fr","type":"dataset","venue":"Borealis","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"Statistics Canada","funders":"","keywords":"Statistical analysis; Western europe; First world war","score_opus":0.03134395464283211,"score_gpt":0.276224204056312,"score_spread":0.24488024941347988,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6931471974","genre_codex":"empirical","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"dataset","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7658314,0.017911088,0.0018274974,0.029728476,0.0017134154,0.0003513203,0.09951436,0.0002557559,0.08286665],"genre_scores_gemma":[0.78814596,0.016973233,0.0029383947,0.004756925,0.0003573159,0.00037034415,0.026482267,0.00019083035,0.15978469],"study_design_codex":"observational","study_design_gemma":"not_applicable","domain_scores_codex":[0.99850804,0.00012163428,0.00006589834,0.00019190328,0.0007001031,0.0004123398],"domain_scores_gemma":[0.99672085,0.00017365304,0.00021715285,0.000056313536,0.0021775416,0.0006543992],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013460513,0.00041604647,0.0004753923,0.0020108463,0.0058034398,0.003175187,0.0008794282,0.00071649323,0.011809687],"category_scores_gemma":[0.0038381766,0.00025925983,0.0005455589,0.0050813146,0.0012136872,0.0010572543,0.0018161909,0.0013436256,0.001309029],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003004751,0.000080868,0.42062944,0.001181142,0.00017803392,0.0007964141,0.11232815,0.00056447135,0.0014497453,0.0050425106,0.28707236,0.17037636],"study_design_scores_gemma":[0.000006852873,0.00004338466,0.6106171,0.0006445647,0.000035934376,0.00012530087,0.09086587,0.0002068399,0.00027882474,0.00018263396,0.29689363,0.000099056786],"about_ca_topic_score_codex":0.9929369,"about_ca_topic_score_gemma":0.9956245,"teacher_disagreement_score":0.034423523,"about_ca_system_score_codex":0.034423523,"about_ca_system_score_gemma":0.049052503,"threshold_uncertainty_score":0.24976128},"labels":[],"label_agreement":null},{"id":"W6987630745","doi":"","title":"The third order Melnikov function of a quadratic center under quadratic perturbation","year":2006,"lang":"en","type":"article","venue":"Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Agence Universitaire de la Francophonie; National Natural Science Foundation of China","keywords":"Quadratic equation; Perturbation (astronomy); Integrable system; Third order; Limit (mathematics); Center (category theory); Function (biology)","score_opus":0.006719325088823953,"score_gpt":0.24349610860490786,"score_spread":0.23677678351608392,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6987630745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9285215,0.00023588446,0.046969417,0.00043891813,0.00010104344,0.000033496875,0.000055221746,0.00018514344,0.02345933],"genre_scores_gemma":[0.99212354,0.00008942186,0.0020998162,0.00003461089,0.00004449788,0.000014605489,0.00002978349,0.000039022627,0.0055247773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998344,0.000029402276,0.000004594498,0.000026097163,0.00005442805,0.00005094007],"domain_scores_gemma":[0.99962854,0.000054909528,0.00008486616,0.00003351492,0.00006630356,0.00013188414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029317098,0.00064747385,0.00049344363,0.00092067453,0.0011809984,0.0012510272,0.0007181331,0.0008568068,0.0029955478],"category_scores_gemma":[0.0011291251,0.00022489898,0.00043520387,0.00039026554,0.0018289299,0.0013014339,0.0010765443,0.00094632973,0.0003706828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022674118,0.00007803161,0.0011071437,0.000094772695,0.000031536943,0.0007411302,0.00077607215,0.030139312,0.041211482,0.9169241,0.0010277001,0.007641984],"study_design_scores_gemma":[0.000054791537,0.00028477883,0.0029429307,0.00002854389,0.00002563716,0.0007578453,0.0004483333,0.37299433,0.017820785,0.6015649,0.0029915364,0.000085620115],"about_ca_topic_score_codex":0.0013732642,"about_ca_topic_score_gemma":0.00052029133,"teacher_disagreement_score":0.0029955478,"about_ca_system_score_codex":0.0011531767,"about_ca_system_score_gemma":0.00048494106,"threshold_uncertainty_score":0.0100210905},"labels":[],"label_agreement":null},{"id":"W6998838513","doi":"","title":"Bifurcation diagrams and quotient topological spaces under the action of the affine group on a subclass of quadratic vector fields","year":2014,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Affine transformation; Quotient; Quadratic equation; Subclass; Group (periodic table); Action (physics); Quotient space (topology); Topology (electrical circuits); Bifurcation","score_opus":0.04949563955168429,"score_gpt":0.30785403781429205,"score_spread":0.25835839826260776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6998838513","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9543394,0.00023530997,0.030810636,0.00018937571,0.000044345903,0.00004025203,0.00008114075,0.00012270025,0.014136862],"genre_scores_gemma":[0.9916027,0.00015051119,0.0043001217,0.000031110998,0.00005132047,0.000041024945,0.00009989348,0.000034475575,0.0036887734],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997845,0.000038788716,0.000014996313,0.00004816408,0.00006430411,0.000049118808],"domain_scores_gemma":[0.99964714,0.000078552504,0.00011225546,0.00003857188,0.00004886077,0.000074577496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003190329,0.00033428337,0.0002570748,0.001818118,0.0008550097,0.0013795741,0.0003399618,0.00054148,0.003115134],"category_scores_gemma":[0.0008087072,0.00016785477,0.00050800055,0.0003850846,0.0013055849,0.0018645481,0.00078132923,0.0005502415,0.00028973736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008627664,0.000056006356,0.0018102495,0.000048703878,0.00001922309,0.00064915966,0.001055446,0.008002906,0.01764452,0.96012497,0.00035397432,0.01014862],"study_design_scores_gemma":[0.0000677062,0.00013969732,0.0034964809,0.000030069668,0.000025619507,0.00079538405,0.0005751384,0.073469535,0.0072503993,0.90902805,0.005078702,0.000043265733],"about_ca_topic_score_codex":0.0005582088,"about_ca_topic_score_gemma":0.00025388564,"teacher_disagreement_score":0.003115134,"about_ca_system_score_codex":0.0007184514,"about_ca_system_score_gemma":0.00025204348,"threshold_uncertainty_score":0.0104212165},"labels":[],"label_agreement":null},{"id":"W7000613445","doi":"","title":"Generalized Jacobians in cryptography","year":2005,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Cryptography; Digital watermarking; Algebra over a field; Class (philosophy); Scheme (mathematics)","score_opus":0.026555999393572127,"score_gpt":0.29066837520530175,"score_spread":0.26411237581172964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7000613445","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18861163,0.02210069,0.18631907,0.012623106,0.0019414856,0.00019506787,0.0006142138,0.0006896683,0.58690506],"genre_scores_gemma":[0.8924393,0.0073789563,0.017413357,0.000596818,0.0014993517,0.00009669309,0.00020896943,0.00013649378,0.08023011],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992662,0.00020171488,0.000032710825,0.000115367664,0.0002476875,0.00013634712],"domain_scores_gemma":[0.9990747,0.00030719236,0.00013057307,0.00021630757,0.00015823256,0.00011294576],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006812263,0.000602033,0.0005834389,0.00194903,0.0011529305,0.0026045213,0.0004990484,0.0007835355,0.009839839],"category_scores_gemma":[0.0030741668,0.00024877858,0.0004449717,0.001406876,0.0030041502,0.0037493103,0.0019912783,0.0019627083,0.0022465365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009406926,0.0000068410877,0.000071205184,0.000026957634,0.0000028875747,0.00004039479,0.00009481706,0.0014077548,0.0002931412,0.9847435,0.0036071392,0.009696058],"study_design_scores_gemma":[0.000010391784,0.00001374746,0.00015660487,0.000019222072,0.000002641985,0.00009101429,0.000047035348,0.0053249896,0.00017762436,0.9818897,0.012258214,0.000008733951],"about_ca_topic_score_codex":0.0014652286,"about_ca_topic_score_gemma":0.0010111448,"teacher_disagreement_score":0.009839839,"about_ca_system_score_codex":0.0017566168,"about_ca_system_score_gemma":0.00078763446,"threshold_uncertainty_score":0.0329175},"labels":[],"label_agreement":null},{"id":"W7008979204","doi":"","title":"Decay of eigenfunctions of elliptic PDE's","year":2017,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"","score_opus":0.0896855221832716,"score_gpt":0.37553006599581384,"score_spread":0.28584454381254226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7008979204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68263924,0.0009249598,0.28740352,0.0022206327,0.00045136755,0.000083809566,0.0002995148,0.00044570622,0.025531221],"genre_scores_gemma":[0.9540699,0.00087770185,0.018471293,0.00033563658,0.00023149549,0.00008948811,0.0003657665,0.00043535564,0.025123352],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992944,0.00021075578,0.000049403257,0.000114683986,0.00017229328,0.00015847414],"domain_scores_gemma":[0.99413484,0.0023717454,0.00068251725,0.0005293522,0.001248779,0.0010328741],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025754722,0.001162658,0.00082177063,0.0026453,0.001308577,0.004193613,0.0015255909,0.0016885849,0.0064659365],"category_scores_gemma":[0.014882883,0.00090329576,0.00081232097,0.00084909634,0.003505838,0.0051285485,0.0029762054,0.0030619595,0.0007969042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015863168,0.0001586565,0.0017012109,0.00010498892,0.000032984382,0.00027472374,0.00080128055,0.010703255,0.011559785,0.96352094,0.0018355282,0.009148011],"study_design_scores_gemma":[0.000041027924,0.00007302992,0.00250308,0.00006298412,0.000019084708,0.00033153876,0.00052595284,0.260937,0.0024420458,0.7314773,0.0015214632,0.000065475455],"about_ca_topic_score_codex":0.0011318986,"about_ca_topic_score_gemma":0.0007424102,"teacher_disagreement_score":0.0064659365,"about_ca_system_score_codex":0.0014962573,"about_ca_system_score_gemma":0.0009746216,"threshold_uncertainty_score":0.021630704},"labels":[],"label_agreement":null},{"id":"W7022265564","doi":"","title":"Cincinnati, Ohio","year":2009,"lang":"en","type":"other","venue":"OhioLink ETD Center (Ohio Library and Information Network)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Beech; George (robot)","score_opus":0.012637920792457348,"score_gpt":0.232064323524739,"score_spread":0.21942640273228164,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7022265564","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0006981921,0.0034338306,0.0009511154,0.0026515045,0.0035754575,0.00012672412,0.0053553134,0.0006837084,0.9825241],"genre_scores_gemma":[0.0016530644,0.0022245569,0.00050429255,0.00041820834,0.00021314432,0.00007938482,0.0015838385,0.00026430632,0.9930593],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9988649,0.000110528075,0.000083911735,0.00037781248,0.00042978808,0.00013309935],"domain_scores_gemma":[0.997795,0.00026660514,0.00014381707,0.00028958957,0.0008794393,0.00062552124],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009827693,0.0017942922,0.0008287963,0.0015577874,0.0026290321,0.005276414,0.0015877283,0.0016053015,0.85355866],"category_scores_gemma":[0.002693909,0.00053969846,0.0006388802,0.0023494745,0.0008336012,0.002800249,0.0020787911,0.0019391332,0.63539463],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010651908,0.000109729874,0.00062912976,0.00022649449,0.0000146985885,0.0002427638,0.0001274497,0.00013696875,0.0003804326,0.0052042883,0.86495423,0.12786724],"study_design_scores_gemma":[0.0000129408145,0.0000148846475,0.00067029643,0.00008229821,0.0000037832126,0.000052299358,0.00009633609,0.0000374745,0.00007162197,0.00031927894,0.99863225,0.0000064474407],"about_ca_topic_score_codex":0.010175909,"about_ca_topic_score_gemma":0.03789806,"teacher_disagreement_score":0.14644134,"about_ca_system_score_codex":0.0017288094,"about_ca_system_score_gemma":0.00273749,"threshold_uncertainty_score":0.20888072},"labels":[],"label_agreement":null},{"id":"W7023682849","doi":"","title":"O(l) shift in Hopf bifurcation for a class of non-standard numerical schemes","year":2005,"lang":"en","type":"article","venue":"NPARC","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Class (philosophy); Hopf bifurcation; Bifurcation; Bogdanov–Takens bifurcation; Saddle-node bifurcation; Stability (learning theory)","score_opus":0.025472689655218116,"score_gpt":0.3265437494648631,"score_spread":0.301071059809645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7023682849","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.716054,0.0006244756,0.25187576,0.00055986067,0.00015817699,0.00009951564,0.0000956413,0.00045862267,0.030073998],"genre_scores_gemma":[0.9728338,0.00016782276,0.022106756,0.00006761236,0.000030429941,0.00005526317,0.000053344924,0.00004824738,0.004636708],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99976796,0.00006332532,0.000016459797,0.000040599654,0.00007485501,0.000036861566],"domain_scores_gemma":[0.9989674,0.00044687805,0.00014570027,0.00019579787,0.00014473361,0.00009953526],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010826343,0.00026054416,0.00027256465,0.0007687302,0.00059852813,0.0007868145,0.0006674665,0.00072741165,0.0034372627],"category_scores_gemma":[0.004621836,0.00012849149,0.00032643828,0.00035718252,0.0010245553,0.0010607803,0.001094039,0.0005641002,0.00033929257],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007267087,0.00016614575,0.0040134043,0.0002790834,0.00005097476,0.00024673928,0.00056880777,0.060447205,0.0404597,0.816276,0.0022588302,0.07450638],"study_design_scores_gemma":[0.00009315907,0.0001596098,0.0015947582,0.000045111552,0.000026442562,0.00013922011,0.000097005366,0.6660873,0.010547727,0.31932375,0.0018581642,0.000027740865],"about_ca_topic_score_codex":0.0004806714,"about_ca_topic_score_gemma":0.00058739044,"teacher_disagreement_score":0.0034372627,"about_ca_system_score_codex":0.00065902557,"about_ca_system_score_gemma":0.00040412208,"threshold_uncertainty_score":0.011498749},"labels":[],"label_agreement":null},{"id":"W7024128259","doi":"","title":"Que sont devenu-e-s les grévistes de 2012?","year":2023,"lang":"fr","type":"other","venue":"Archipelago (University of Quebec in Montreal)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Welfare system; Poison control; Social life; Politics","score_opus":0.01878173265464697,"score_gpt":0.23345937666804353,"score_spread":0.21467764401339656,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024128259","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9332975,0.0028918008,0.00037752106,0.020133162,0.00076067273,0.00005716351,0.0012870864,0.000041141226,0.04115395],"genre_scores_gemma":[0.9385879,0.004354583,0.0002647041,0.003419166,0.00024849226,0.00014703146,0.00089403946,0.00009046225,0.051993653],"study_design_codex":"observational","study_design_gemma":"qualitative","domain_scores_codex":[0.99834967,0.0004272124,0.000076121774,0.00019699628,0.00032839677,0.0006215897],"domain_scores_gemma":[0.9965706,0.00054836815,0.0007751323,0.00016604573,0.0008042058,0.0011356445],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018885001,0.0002774751,0.0004238132,0.0010870912,0.0031052923,0.006702222,0.0006378833,0.0016437945,0.014654301],"category_scores_gemma":[0.009420515,0.0003145708,0.000383228,0.0016312031,0.0018350641,0.0047533,0.0023139128,0.0025713549,0.0044487067],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041460307,0.0002170172,0.40684894,0.0005123951,0.0000836861,0.001330573,0.38647684,0.00010362997,0.001213399,0.020356437,0.03821692,0.1442256],"study_design_scores_gemma":[0.000018031575,0.00018744679,0.33446303,0.00066590245,0.000025531237,0.00057078403,0.43603414,0.00008797402,0.00044839067,0.0016951137,0.22573535,0.00006830826],"about_ca_topic_score_codex":0.028904013,"about_ca_topic_score_gemma":0.048186686,"teacher_disagreement_score":0.028904013,"about_ca_system_score_codex":0.001787387,"about_ca_system_score_gemma":0.0030373023,"threshold_uncertainty_score":0.057471573},"labels":[],"label_agreement":null},{"id":"W7024284260","doi":"","title":"Salivary proteomic biomarkers of oral squamous cell carcinoma","year":2015,"lang":"en","type":"article","venue":"Nova Science Publishers (Nova Science Publishers, Inc.)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Basal cell; Carcinoma; Cancer; Epidermoid carcinoma; Disease; Cell","score_opus":0.08964276499116013,"score_gpt":0.33063161683966913,"score_spread":0.240988851848509,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024284260","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97594607,0.01823304,0.00090847694,0.0002791023,0.0001227072,0.000093459574,0.0013572292,0.00007117519,0.0029885382],"genre_scores_gemma":[0.99404764,0.0025786064,0.0008122426,0.00014977995,0.00007519252,0.000073159994,0.0007432582,0.00000578445,0.001514197],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.999686,0.000080095306,0.000041406493,0.000054854063,0.00009089465,0.000046837085],"domain_scores_gemma":[0.999713,0.000032569467,0.0001095072,0.000016052696,0.00008501632,0.000043801938],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006042787,0.00036608335,0.00034507865,0.0014265561,0.00030232908,0.00085081864,0.00021302846,0.00054852915,0.0024190294],"category_scores_gemma":[0.0007880394,0.00016016875,0.00030405275,0.00082752743,0.00017553456,0.00028628798,0.0004392078,0.00036304854,0.0006506633],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003120922,0.00052628055,0.7117868,0.0010799075,0.00063288904,0.0007627503,0.00031605831,0.00030501193,0.20722519,0.00023628652,0.002017302,0.07199065],"study_design_scores_gemma":[0.000055652676,0.00089596136,0.9657757,0.00008172687,0.00031880033,0.0021564323,0.00066254125,0.0009561962,0.023016013,0.00030116126,0.005756906,0.000022864702],"about_ca_topic_score_codex":0.00044063,"about_ca_topic_score_gemma":0.00041535596,"teacher_disagreement_score":0.0024190294,"about_ca_system_score_codex":0.00017451122,"about_ca_system_score_gemma":0.00021864196,"threshold_uncertainty_score":0.008092463},"labels":[],"label_agreement":null},{"id":"W7024301336","doi":"","title":"Reclaiming Social Space: Adapting Neighbourhoods to Support an Ageing Population","year":2017,"lang":"en","type":"article","venue":"ResearchArchive–Te Puna Rangahau (Victoria University of Wellington)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Loneliness; Neighbourhood (mathematics); Population ageing; Population; Quarter (Canadian coin); Older people; Aging in place; Social isolation; Preference","score_opus":0.07551259212698937,"score_gpt":0.34876550413244406,"score_spread":0.2732529120054547,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024301336","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8032855,0.004892657,0.045960594,0.016220266,0.00084532046,0.00018295743,0.00010776027,0.00019295576,0.12831198],"genre_scores_gemma":[0.97763515,0.0010944436,0.011930961,0.00034595805,0.00004990728,0.000057226458,0.000038462444,0.000022905771,0.008825013],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9995995,0.00023299301,0.0000103715865,0.0000408372,0.000054697623,0.00006163093],"domain_scores_gemma":[0.9996099,0.00007131554,0.00005897635,0.000044397617,0.000060030798,0.00015537682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073050224,0.00017967765,0.00019371492,0.00024173655,0.0020609922,0.0026494889,0.00092395674,0.00065870123,0.0026428818],"category_scores_gemma":[0.00185515,0.00012307237,0.00024112838,0.00020677764,0.0019177062,0.0020406663,0.0046394453,0.0005372267,0.00039601134],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034191273,0.0005708987,0.033114508,0.0009965865,0.00010163078,0.0032240155,0.20946516,0.012780277,0.011305162,0.22130959,0.04473494,0.46205533],"study_design_scores_gemma":[0.00007907598,0.00088652794,0.04152234,0.0009529551,0.00008850939,0.001411088,0.30227178,0.024392864,0.001425973,0.16218051,0.46464705,0.00014121576],"about_ca_topic_score_codex":0.009000541,"about_ca_topic_score_gemma":0.029939441,"teacher_disagreement_score":0.009000541,"about_ca_system_score_codex":0.0010125899,"about_ca_system_score_gemma":0.0014811152,"threshold_uncertainty_score":0.017896295},"labels":[],"label_agreement":null},{"id":"W7024742580","doi":"","title":"States’ obligations toward their own civilian population and military forces in times of armed conflict according to international humanitarian and human rights law","year":2015,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McGill University","keywords":"Human rights; Armed conflict; Civilian population; Population; International humanitarian law; Military operation","score_opus":0.03684334435364877,"score_gpt":0.3118234886848473,"score_spread":0.27498014433119855,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024742580","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6261596,0.0003020414,0.0018567813,0.017276078,0.00011778295,0.000024256167,0.000072332856,0.000008362386,0.35418272],"genre_scores_gemma":[0.9958949,0.00007273826,0.00018379917,0.000454301,0.000013251548,0.000009442273,0.000009789929,0.0000044951353,0.0033571373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967739,0.0013526374,0.00010661551,0.00016961303,0.00043923382,0.001158054],"domain_scores_gemma":[0.9946051,0.0024565898,0.0007429871,0.00034213177,0.000892662,0.0009605476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0047217584,0.000087995024,0.0002585723,0.00072394835,0.004686008,0.005568903,0.0006492448,0.0016258385,0.0045802034],"category_scores_gemma":[0.0109808715,0.00024202414,0.00024338155,0.0005365571,0.0088658845,0.0036513244,0.0035714658,0.0037171072,0.00031302648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006141461,0.000077931174,0.009082761,0.000018151613,0.000014753655,0.0001985913,0.034805812,0.001720707,0.0003279899,0.9414974,0.0052004755,0.006994138],"study_design_scores_gemma":[0.000042758264,0.00007981237,0.08871673,0.00032304935,0.000041328232,0.00026813574,0.1285779,0.0053006364,0.00066541746,0.70891213,0.06698681,0.00008543758],"about_ca_topic_score_codex":0.021294536,"about_ca_topic_score_gemma":0.051267583,"teacher_disagreement_score":0.021294536,"about_ca_system_score_codex":0.0033089595,"about_ca_system_score_gemma":0.004208578,"threshold_uncertainty_score":0.042341173},"labels":[],"label_agreement":null},{"id":"W7024999575","doi":"","title":"Ãtude des reprÃ©sentations utilisÃ©es par les Ã©lÃ¨ves Ã  risque d'abandon dans leur expÃ©rience scolaire","year":2000,"lang":"fr","type":"other","venue":"Library and Archives Canada (Government of Canada)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Risk factor; Identification (biology); Public health","score_opus":0.008527794722533509,"score_gpt":0.1856053935395185,"score_spread":0.17707759881698498,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024999575","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5834141,0.008255673,0.009691876,0.015100474,0.0008971003,0.00018047442,0.0011835662,0.0007795406,0.38049722],"genre_scores_gemma":[0.71042365,0.006930807,0.0056722444,0.0009245601,0.0002795528,0.00008571485,0.00056669104,0.00039750314,0.27471927],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.99468464,0.0012863122,0.0002550375,0.00034896284,0.002735925,0.0006891282],"domain_scores_gemma":[0.9842165,0.0069363443,0.0015605836,0.00091946765,0.005420265,0.00094678963],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0047636903,0.0005193739,0.00037008288,0.0024799968,0.0047729635,0.007349489,0.0013545036,0.0016788889,0.029058237],"category_scores_gemma":[0.025991438,0.00037127922,0.0006264798,0.0028575298,0.0026454583,0.0023574077,0.0016593925,0.0025949096,0.005983188],"study_design_candidate":"observational","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013976526,0.00055184285,0.07558476,0.00081519416,0.0001629099,0.0041434383,0.07926318,0.0038991286,0.0073980605,0.14033252,0.063519545,0.6229317],"study_design_scores_gemma":[0.000084890155,0.0003133069,0.13908346,0.0007462269,0.00017829792,0.002815498,0.0482132,0.0052366983,0.012764675,0.013000506,0.77738404,0.0001791816],"about_ca_topic_score_codex":0.21860175,"about_ca_topic_score_gemma":0.25989246,"teacher_disagreement_score":0.21860175,"about_ca_system_score_codex":0.009028011,"about_ca_system_score_gemma":0.009642851,"threshold_uncertainty_score":0.4346587},"labels":[],"label_agreement":null},{"id":"W7025170025","doi":"","title":"Un formidable bouillonnement. \\n Les Coulisses de la nouvelle danse au Québec : le Groupe Nouvelle Aire en mémoires\\n","year":2000,"lang":"fr","type":"article","venue":"Érudit (Université de Montréal)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Context (archaeology); Class (philosophy); Identity (music)","score_opus":0.004950563699311958,"score_gpt":0.18797688415380978,"score_spread":0.18302632045449782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025170025","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.113481574,0.0133964345,0.084001824,0.040169455,0.0036366994,0.00015508155,0.0037070813,0.0004666357,0.74098516],"genre_scores_gemma":[0.51369846,0.0039736233,0.027006125,0.0012194973,0.00035132508,0.00010402199,0.0013456473,0.00016097617,0.4521403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.99958056,0.00007584062,0.000012743118,0.00010089094,0.00013900582,0.000090846675],"domain_scores_gemma":[0.9992336,0.00007867614,0.000047813017,0.00010281748,0.00041165878,0.00012550993],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005569734,0.00040189232,0.0003360297,0.00100952,0.005083803,0.002852636,0.0008927556,0.0010567321,0.024202239],"category_scores_gemma":[0.0019766637,0.00025515113,0.00032825427,0.0016547589,0.003760739,0.0021277454,0.0013050217,0.0013694442,0.0017239648],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043038817,0.000009126514,0.0020139345,0.00007921472,0.000011963467,0.00017139711,0.0029983565,0.0009071637,0.0010912486,0.91605633,0.03972728,0.036890846],"study_design_scores_gemma":[0.000018540186,0.000020678694,0.005709571,0.00012238437,0.000020310104,0.00023874358,0.0020856417,0.0029768033,0.00082801474,0.16867527,0.81926274,0.000041356816],"about_ca_topic_score_codex":0.7137207,"about_ca_topic_score_gemma":0.7916387,"teacher_disagreement_score":0.7137207,"about_ca_system_score_codex":0.011701454,"about_ca_system_score_gemma":0.009581836,"threshold_uncertainty_score":0.57593054},"labels":[],"label_agreement":null},{"id":"W7029223887","doi":"","title":"Impact Assessment and Responsible Business Guidance Tools in the Extractive Sector: Implications for Human Rights, Gender and Stakeholder Engagement","year":2020,"lang":"en","type":"article","venue":"eYLS (Yale Law School)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Stakeholder; Stakeholder engagement; Position (finance); Quality (philosophy); Impact assessment; Human rights; Stakeholder analysis; Indigenous","score_opus":0.20405714718259008,"score_gpt":0.39834869914432663,"score_spread":0.19429155196173656,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7029223887","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14103024,0.0095005045,0.08431868,0.08307026,0.0004562182,0.0009888128,0.00043933364,0.000458366,0.6797376],"genre_scores_gemma":[0.9636873,0.002882894,0.02067264,0.0018789949,0.00007619671,0.00023520183,0.00008647189,0.00006455689,0.010415744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.9267902,0.034316074,0.0023350327,0.002205749,0.02927204,0.005080895],"domain_scores_gemma":[0.81260586,0.12899746,0.01118534,0.007825231,0.035512984,0.0038732162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.061828647,0.00086165196,0.00084129965,0.013438304,0.009108919,0.024530867,0.0035528436,0.003377386,0.0072778687],"category_scores_gemma":[0.13398936,0.0004383823,0.00060722255,0.010741069,0.032404143,0.015511641,0.012086462,0.0041874344,0.0005345362],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048093825,0.000093380746,0.010441087,0.000817544,0.000028542327,0.00031668574,0.032855935,0.002502083,0.00037425323,0.8138231,0.006817095,0.13188209],"study_design_scores_gemma":[0.00004024786,0.00015923425,0.0382579,0.0062637604,0.0001181184,0.00026317287,0.15867674,0.0066198166,0.0026045223,0.53701276,0.24970193,0.00028190363],"about_ca_topic_score_codex":0.26013458,"about_ca_topic_score_gemma":0.29178312,"teacher_disagreement_score":0.26013458,"about_ca_system_score_codex":0.047865428,"about_ca_system_score_gemma":0.058644965,"threshold_uncertainty_score":0.5172409},"labels":[],"label_agreement":null},{"id":"W7043764728","doi":"","title":"Training material for producing national human development reports : the Gender Inequality Index (GII)","year":2011,"lang":"en","type":"report","venue":"Oxford University Research Archive (ORA) (University of Oxford)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Bundesministerium für Wirtschaftliche Zusammenarbeit und Entwicklung; Australian Agency for International Development; Georg-August-Universität Göttingen; University of Oxford; International Development Research Centre; Economic and Social Research Council; International Fine Particle Research Institute; United Nations Development Programme; Robertson Foundation; UNICEF","keywords":"Human Development Index; Index (typography); Gender inequality; Human development (humanity); Inequality; Training (meteorology); National development; Human resources; Human Development Report","score_opus":0.2226874699881449,"score_gpt":0.3598408726363232,"score_spread":0.1371534026481783,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7043764728","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009477856,0.0030488754,0.05495008,0.04061338,0.0090302555,0.0066011148,0.30216938,0.0071271476,0.5669819],"genre_scores_gemma":[0.05027627,0.009033756,0.19281195,0.0035551696,0.0032816164,0.012875153,0.33574533,0.0048654596,0.38755536],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9932459,0.0018910924,0.000735861,0.00029257606,0.0033729668,0.00046159525],"domain_scores_gemma":[0.9603396,0.012045102,0.0034549215,0.0034640569,0.018196128,0.0025001282],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01417605,0.0010578955,0.0005442921,0.009917269,0.0014110478,0.0024100372,0.0015394058,0.0011655703,0.101332255],"category_scores_gemma":[0.04791425,0.0005679712,0.00047456287,0.012042354,0.0007033763,0.0026193399,0.0028847228,0.002059114,0.052802622],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020526475,0.00008012709,0.001639623,0.00018099484,0.0000035227317,0.000030168685,0.00021731567,0.00019075326,0.00020687399,0.0038438193,0.8648674,0.1287189],"study_design_scores_gemma":[0.00001731787,0.0000653554,0.015229202,0.0004614588,0.000006639584,0.000108329026,0.0004769069,0.00040356006,0.00117229,0.0033265268,0.97870123,0.00003115939],"about_ca_topic_score_codex":0.011717998,"about_ca_topic_score_gemma":0.007707523,"teacher_disagreement_score":0.101332255,"about_ca_system_score_codex":0.0021108326,"about_ca_system_score_gemma":0.007412119,"threshold_uncertainty_score":0.33899015},"labels":[],"label_agreement":null},{"id":"W7095743232","doi":"","title":"by UNIVERSITY OF WESTERN ONTARIO WESTERN LIBRARIES on 07/24/12. For personal use only.","year":2005,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Limit (mathematics); Singularity; Polynomial; Nonlinear system; Calculus (dental); Limit cycle","score_opus":0.05583309593255325,"score_gpt":0.26151298445225685,"score_spread":0.2056798885197036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7095743232","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0053998046,0.0030207627,0.0007322932,0.0044055954,0.0028033997,0.0008331999,0.023700314,0.0017346625,0.95736986],"genre_scores_gemma":[0.009920618,0.0048095416,0.0017301186,0.0012301775,0.00024230019,0.00038814696,0.0057566795,0.0008274461,0.97509503],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9978492,0.00018433099,0.00007215216,0.00048166365,0.00066716375,0.0007453341],"domain_scores_gemma":[0.9964116,0.0014120587,0.00011178642,0.00055019377,0.0007075875,0.00080675195],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0019876768,0.0064022676,0.0068644513,0.00535305,0.007538885,0.0067715566,0.005065482,0.005478155,0.87418467],"category_scores_gemma":[0.004609638,0.00310884,0.0037619972,0.0056976187,0.008954413,0.0037683395,0.0071206023,0.00833995,0.7273548],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003052239,0.0017065667,0.0029828434,0.004701404,0.00034700098,0.0025109844,0.0016258492,0.0009065867,0.007942109,0.0083239395,0.8750026,0.09089786],"study_design_scores_gemma":[0.00020943148,0.0002952604,0.0065186876,0.0021579526,0.00010843393,0.00045445233,0.0004586618,0.00034510056,0.0020256909,0.0017113673,0.98564005,0.00007482016],"about_ca_topic_score_codex":0.14776339,"about_ca_topic_score_gemma":0.26433614,"teacher_disagreement_score":0.14776339,"about_ca_system_score_codex":0.009138218,"about_ca_system_score_gemma":0.0075784787,"threshold_uncertainty_score":0.2938066},"labels":[],"label_agreement":null},{"id":"W7095964000","doi":"","title":"∗Departement de mathematiques et statistique, Universite de Montreal","year":2008,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quadratic equation; Invariant (physics); Multiplicity (mathematics); Planar","score_opus":0.05238147624220197,"score_gpt":0.3500198859208193,"score_spread":0.2976384096786173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7095964000","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15411842,0.079948574,0.13553275,0.098382376,0.011852911,0.00036881393,0.02799609,0.0028377755,0.4889623],"genre_scores_gemma":[0.37071946,0.026661023,0.05460608,0.0010216078,0.0036322167,0.0001747549,0.0044571697,0.0008363544,0.53789127],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9980715,0.00050105643,0.0000506281,0.00043368133,0.00068217044,0.0002609089],"domain_scores_gemma":[0.989944,0.0055404496,0.00065064937,0.0007650769,0.0017521337,0.001347786],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019961265,0.0018239894,0.0029318975,0.0032594071,0.0032328763,0.0042934394,0.0027085466,0.0013341149,0.07110034],"category_scores_gemma":[0.008933394,0.0006508069,0.00093188003,0.0030508514,0.0029273052,0.002393659,0.001461709,0.0026615264,0.008258954],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035538655,0.00009675828,0.004527384,0.0008380334,0.00012920627,0.00051092514,0.0011603849,0.0047425968,0.0029528488,0.8042058,0.07706225,0.10341848],"study_design_scores_gemma":[0.00036142053,0.00014883482,0.055970196,0.00057887286,0.00014920859,0.00078497524,0.00096356194,0.052550435,0.009105086,0.27598304,0.60291135,0.0004931099],"about_ca_topic_score_codex":0.37182885,"about_ca_topic_score_gemma":0.3812827,"teacher_disagreement_score":0.92889965,"about_ca_system_score_codex":0.017121702,"about_ca_system_score_gemma":0.006735987,"threshold_uncertainty_score":0.7393291},"labels":[],"label_agreement":null},{"id":"W7096935923","doi":"","title":"∗Departement de Mathematiques et de Statistiques, Universite de Montreal","year":2003,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Affine transformation; Algebraic geometry; Projective plane; Infinity; Group (periodic table); Projective line; Line (geometry); Field (mathematics)","score_opus":0.0264427287560956,"score_gpt":0.34694682852238806,"score_spread":0.32050409976629246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7096935923","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07567474,0.11046403,0.070972435,0.06507795,0.009958057,0.00057800056,0.03110961,0.0029611413,0.6332039],"genre_scores_gemma":[0.2148165,0.044035096,0.039168246,0.0010189379,0.0023154465,0.00024173525,0.005480301,0.00072163506,0.6922022],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9971751,0.00058814505,0.000096991695,0.00078281766,0.00095426396,0.0004026473],"domain_scores_gemma":[0.9919334,0.004217049,0.00042547897,0.00063527393,0.0016025656,0.0011862442],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0018726252,0.0023411121,0.0022747598,0.002863581,0.0022893602,0.0039587244,0.0018805562,0.0013261031,0.15265116],"category_scores_gemma":[0.008655761,0.00067483145,0.0009991227,0.0030325353,0.0025776692,0.0023571027,0.001916563,0.0023775275,0.022413168],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00078061817,0.0002758228,0.0123165455,0.002316764,0.0002615156,0.0015178706,0.0032089162,0.008105202,0.005167332,0.4272368,0.18038768,0.35842493],"study_design_scores_gemma":[0.00014367467,0.00011822978,0.034438264,0.0004136921,0.00006553867,0.00051932374,0.0005937445,0.011624865,0.0035075257,0.047319658,0.9010521,0.00020326696],"about_ca_topic_score_codex":0.33611733,"about_ca_topic_score_gemma":0.3188543,"teacher_disagreement_score":0.8473488,"about_ca_system_score_codex":0.018100806,"about_ca_system_score_gemma":0.010631756,"threshold_uncertainty_score":0.66832185},"labels":[],"label_agreement":null},{"id":"W7097754943","doi":"","title":"by UNIVERSITY OF WESTERN ONTARIO WESTERN LIBRARIES on 07/25/12. For personal use only.","year":2008,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Limit (mathematics); Bifurcation; Quadratic equation; Limit cycle; Function (biology); Property (philosophy); Hamiltonian system","score_opus":0.07345211629490901,"score_gpt":0.256326210590738,"score_spread":0.18287409429582901,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7097754943","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008234898,0.0036170562,0.0015403578,0.004314704,0.0030515508,0.0008710985,0.016236166,0.0016782825,0.96045595],"genre_scores_gemma":[0.014927933,0.005330788,0.0036089027,0.001379296,0.00024353983,0.00057856267,0.0050392393,0.0009862109,0.9679055],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9976355,0.0002621207,0.00008055739,0.0005615235,0.0007387848,0.0007215345],"domain_scores_gemma":[0.9961434,0.0016772335,0.00013871105,0.0006734303,0.0006820315,0.0006852601],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0020017133,0.005617372,0.005842758,0.0051583676,0.0057169935,0.0063486933,0.0047683315,0.0042913384,0.8425913],"category_scores_gemma":[0.0049451296,0.0026236498,0.0033728676,0.0053465846,0.009556032,0.0033390645,0.006905202,0.006678323,0.6160572],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0050029387,0.0023969912,0.0043118834,0.0058524706,0.00050869724,0.004596667,0.0027925475,0.0018877822,0.01696578,0.015681254,0.77804786,0.16195507],"study_design_scores_gemma":[0.000219881,0.00032757863,0.0063887252,0.002405004,0.00011328309,0.00071554456,0.00058573374,0.00065860106,0.0034072876,0.002417342,0.98268074,0.00008034798],"about_ca_topic_score_codex":0.11586023,"about_ca_topic_score_gemma":0.20353678,"teacher_disagreement_score":0.15740871,"about_ca_system_score_codex":0.00798131,"about_ca_system_score_gemma":0.0075536156,"threshold_uncertainty_score":0.23037171},"labels":[],"label_agreement":null},{"id":"W7100133370","doi":"","title":"Contents","year":2002,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Focus (optics); Abelian group; Integrable system; Calculus (dental); Gravitational singularity","score_opus":0.13809091829956965,"score_gpt":0.318036502039034,"score_spread":0.17994558373946434,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7100133370","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0010093838,0.0031006231,0.0028848855,0.0069612693,0.012076648,0.00019828086,0.011543576,0.0013227924,0.96090263],"genre_scores_gemma":[0.0047124354,0.0015345403,0.00061604555,0.00084093213,0.0022380077,0.000056886503,0.004555912,0.00040521738,0.98504007],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99964523,0.000036359546,0.000013602284,0.000070910326,0.00018517295,0.000048740694],"domain_scores_gemma":[0.99898344,0.00008907897,0.0000424945,0.00015915003,0.0005145271,0.00021116533],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00034837716,0.0006353832,0.0006977318,0.0016450924,0.0015027511,0.003661069,0.0010447899,0.0007668889,0.6942519],"category_scores_gemma":[0.0018577608,0.00023698049,0.00039219862,0.0018337308,0.00040929913,0.001916448,0.0014888587,0.00093504763,0.45591122],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017140766,0.000017257651,0.00013096411,0.00006388818,0.000002124557,0.000021573896,0.000053423868,0.000068590605,0.00034015617,0.008258948,0.9460984,0.044927493],"study_design_scores_gemma":[0.000002676728,0.000006379484,0.000375915,0.00004696176,0.0000016114426,0.000018200897,0.000037258662,0.000048239704,0.00010357676,0.0015429854,0.99781287,0.0000033393178],"about_ca_topic_score_codex":0.014328401,"about_ca_topic_score_gemma":0.018001478,"teacher_disagreement_score":0.3057481,"about_ca_system_score_codex":0.0034568436,"about_ca_system_score_gemma":0.001844402,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W7100152629","doi":"","title":"Geometry of quadratic differential systems in the neighbourhood of the line at infinity. Report no. 2701, Centre de recherches mathematiques et Departement de Mathematiques et de Statistiques, Universite de Montreal","year":2001,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Phase portrait; Quadratic equation; Algebraic topology; Algebraic geometry; Affine transformation; Invariant (physics); Algebraic number; Infinity; Quadratic differential","score_opus":0.05365442678708014,"score_gpt":0.3542647462527546,"score_spread":0.30061031946567446,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7100152629","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9632458,0.0005721295,0.015851881,0.00017423106,0.000016668273,0.000022651755,0.00008409995,0.00004155744,0.01999103],"genre_scores_gemma":[0.9935822,0.00018513265,0.0018106401,0.000010304543,0.000012886454,0.000008693289,0.000087659726,0.000009068171,0.0042933775],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99984586,0.00001578551,0.0000049144664,0.00003116744,0.00007042875,0.000031793017],"domain_scores_gemma":[0.9997526,0.000042434924,0.00007909069,0.0000140322545,0.000048607915,0.00006314337],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002155789,0.00025946877,0.0002888437,0.001124006,0.0010168421,0.0011199894,0.00044097833,0.0002028875,0.0028496278],"category_scores_gemma":[0.00061135954,0.00021615913,0.00031583983,0.00030737653,0.0014148221,0.0007096556,0.00061077275,0.00045506016,0.00018820846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012669835,0.000046701552,0.018998338,0.00013519316,0.00004546704,0.0009516782,0.0017946031,0.04162219,0.0257548,0.8910264,0.0010899225,0.018407904],"study_design_scores_gemma":[0.00010122134,0.0006525326,0.07920032,0.00009962905,0.00007818035,0.0023351794,0.0018534414,0.2754047,0.01638222,0.5946894,0.029080357,0.00012274607],"about_ca_topic_score_codex":0.0073867524,"about_ca_topic_score_gemma":0.0040791086,"teacher_disagreement_score":0.0073867524,"about_ca_system_score_codex":0.001655687,"about_ca_system_score_gemma":0.00040728782,"threshold_uncertainty_score":0.014687479},"labels":[],"label_agreement":null},{"id":"W7101453984","doi":"10.1017/s0960129525100261","title":"Foreword for the special issue “Differential Structures in Computer Science and Mathematics”","year":2025,"lang":"en","type":"article","venue":"Mathematical Structures in Computer Science","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University; University of Calgary","funders":"","keywords":"Special Interest Group; Special section; Computer Applications","score_opus":0.0213526667813859,"score_gpt":0.3225960368153469,"score_spread":0.30124337003396096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7101453984","genre_codex":"editorial","genre_gemma":"editorial","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"editorial","genre_consensus":"editorial","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00015276074,0.006291323,0.00072622334,0.044459157,0.93162763,0.00003944168,0.00024101927,0.00015141245,0.016311131],"genre_scores_gemma":[0.0019380363,0.0051976526,0.00043407886,0.017307024,0.8922471,0.00007915219,0.0004929469,0.00037049345,0.08193347],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.998154,0.00028563666,0.00019351506,0.00031918264,0.0008465814,0.00020108244],"domain_scores_gemma":[0.9905351,0.0019382202,0.00066993834,0.00033731174,0.0043276753,0.002191731],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022122336,0.001859654,0.0020492421,0.002865631,0.0020998109,0.006116598,0.0014603204,0.004383256,0.11379339],"category_scores_gemma":[0.0076989,0.00044840938,0.00125161,0.0011080855,0.0010965122,0.0042614467,0.0017684276,0.00641293,0.07387475],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018577977,0.000006871414,0.000022623168,0.000086722306,0.000004775494,0.00002217187,0.000007658411,0.000013333078,0.00011557148,0.0010623677,0.9930577,0.005581476],"study_design_scores_gemma":[0.000012347311,0.000025752151,0.00026878793,0.00014708826,0.000011085647,0.00008070116,0.000017192562,0.00008321574,0.0001427277,0.002193117,0.9970094,0.000008416634],"about_ca_topic_score_codex":0.00046312486,"about_ca_topic_score_gemma":0.0007514689,"teacher_disagreement_score":0.11379339,"about_ca_system_score_codex":0.0017700107,"about_ca_system_score_gemma":0.001562417,"threshold_uncertainty_score":0.3806768},"labels":[],"label_agreement":null},{"id":"W7140751965","doi":"10.5802/jolt.1033","title":"Category J Modules for Hamiltonian Vector Fields on a Torus","year":2018,"lang":"en","type":"article","venue":"Journal of Lie theory","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Trent University","funders":"","keywords":"Torus; Vector field; Hamiltonian (control theory); Fundamental vector field; Algebra over a field; Field (mathematics); Vector potential","score_opus":0.04451576234871892,"score_gpt":0.3377692668609295,"score_spread":0.2932535045122106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7140751965","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8494303,0.0012614448,0.08283727,0.0005431075,0.00043535198,0.00016249712,0.0004889352,0.0007429086,0.06409815],"genre_scores_gemma":[0.9702003,0.0004565149,0.013525626,0.00021886265,0.00030968277,0.00008881465,0.00062104914,0.0000954674,0.01448356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993112,0.00008113269,0.000041290983,0.0001302552,0.00021190225,0.00022409488],"domain_scores_gemma":[0.9983028,0.00025361363,0.00033343563,0.00016835894,0.00031976073,0.0006219644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006389325,0.00052756665,0.0003790113,0.0044251946,0.0019211584,0.0025432366,0.00088244356,0.00063980673,0.004679339],"category_scores_gemma":[0.0010222782,0.00030335464,0.000743677,0.0013271892,0.0027901982,0.0031505106,0.0021808313,0.0011631874,0.0005348542],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059946553,0.00008308463,0.0048329253,0.00012063017,0.000036553007,0.0005341452,0.0016966126,0.0005989426,0.0061724777,0.96571076,0.002333016,0.01782085],"study_design_scores_gemma":[0.000026110361,0.0003062935,0.019550718,0.00007870785,0.00006390256,0.002829446,0.0013532185,0.005033915,0.004763722,0.93041027,0.035458915,0.00012470155],"about_ca_topic_score_codex":0.00062253774,"about_ca_topic_score_gemma":0.00044910627,"teacher_disagreement_score":0.004679339,"about_ca_system_score_codex":0.0006476177,"about_ca_system_score_gemma":0.0006547431,"threshold_uncertainty_score":0.015653968},"labels":[],"label_agreement":null},{"id":"W7145839783","doi":"","title":"Boundedness of solutions for a class of nonlinear planar systems","year":2002,"lang":"en","type":"article","venue":"Institutional Repositories DataBase (IRDB)","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Ministry of Education of the People's Republic of China; York University","keywords":"Generalization; Planar; Class (philosophy); Nonlinear system; Bounded function","score_opus":0.08486465654319954,"score_gpt":0.3106962817550544,"score_spread":0.2258316252118549,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7145839783","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15470035,0.0010095227,0.8110418,0.0012866082,0.00008419917,0.00009432342,0.00022301871,0.00021680808,0.031343427],"genre_scores_gemma":[0.946488,0.0012776953,0.044289652,0.00026467504,0.00009727347,0.00016485204,0.00029280852,0.00005174059,0.0070732906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968183,0.000051902975,0.000020558264,0.00007257471,0.000108680535,0.00006445983],"domain_scores_gemma":[0.9988894,0.00047206486,0.0002913254,0.000061817176,0.0002009991,0.00008433723],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006501578,0.0006761569,0.00055885856,0.0008770917,0.0005564773,0.0010256296,0.00079488003,0.0009509592,0.0028659387],"category_scores_gemma":[0.003918509,0.00026061173,0.0005536611,0.000379473,0.0016541006,0.0015099893,0.0018057921,0.00122315,0.00022689448],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038350317,0.000030256091,0.0012612201,0.0002527889,0.00004624652,0.0006327638,0.00037406938,0.19308846,0.019231642,0.7626117,0.002068529,0.020363992],"study_design_scores_gemma":[0.000014174513,0.000032603293,0.0004413679,0.000027096907,0.000012634359,0.00012800656,0.00014500783,0.7877184,0.0037894156,0.20503172,0.0026300268,0.000029481065],"about_ca_topic_score_codex":0.0022075663,"about_ca_topic_score_gemma":0.0013517786,"teacher_disagreement_score":0.0028659387,"about_ca_system_score_codex":0.0006293377,"about_ca_system_score_gemma":0.0006794504,"threshold_uncertainty_score":0.009587526},"labels":[],"label_agreement":null},{"id":"W77586124","doi":"","title":"Remarks on MacMahons identity for sums of cubes of binomial coefficients.","year":2007,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Binomial coefficient; Identity (music); Binomial (polynomial); Gaussian binomial coefficient; Central binomial coefficient; Combinatorics; Statistics; Negative binomial distribution; Poisson distribution","score_opus":0.029549851452475785,"score_gpt":0.33630465152735517,"score_spread":0.3067548000748794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W77586124","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.068266764,0.008522539,0.14177549,0.04418511,0.010650472,0.00010442282,0.001241117,0.00076321006,0.7244909],"genre_scores_gemma":[0.7625583,0.005922862,0.061120074,0.017419651,0.008328342,0.0002919256,0.0007307023,0.0006079838,0.14302024],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985012,0.0003611871,0.000099184326,0.0002725098,0.0005510558,0.00021485134],"domain_scores_gemma":[0.9967924,0.0017630516,0.00017674353,0.00030914438,0.00064340315,0.00031528558],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030341865,0.00077829737,0.0010809833,0.0021059287,0.00335251,0.0033916428,0.0016671505,0.0019314728,0.02536017],"category_scores_gemma":[0.007930796,0.00048228208,0.0013613986,0.0011730839,0.0057443175,0.007503372,0.003986316,0.0042579616,0.002648957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014530857,0.000007688901,0.00013130272,0.000033658354,0.0000060294615,0.00011051168,0.0002559114,0.00009538375,0.0002125114,0.98901576,0.007468266,0.0026485128],"study_design_scores_gemma":[0.000009612731,0.00001131659,0.000418541,0.00002375571,0.000006856446,0.00018344121,0.000110179986,0.00052292884,0.00023645311,0.9793839,0.019079823,0.00001327496],"about_ca_topic_score_codex":0.0033491277,"about_ca_topic_score_gemma":0.0027082374,"teacher_disagreement_score":0.02536017,"about_ca_system_score_codex":0.0014946865,"about_ca_system_score_gemma":0.0007252448,"threshold_uncertainty_score":0.08483821},"labels":[],"label_agreement":null},{"id":"W814144613","doi":"10.71781/15669","title":"Sur les comportements locaux de polynômes et polynômes trigonométriques","year":2008,"lang":"fr","type":"dissertation","venue":"Open MIND","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Computer science; Geology","score_opus":0.09571973064331232,"score_gpt":0.3835807054419182,"score_spread":0.28786097479860584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W814144613","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1594511,0.0082581295,0.72082955,0.0026834498,0.0011933099,0.00008993147,0.0009778559,0.00048800532,0.106028624],"genre_scores_gemma":[0.69364554,0.010270462,0.18157077,0.0006524656,0.0017596103,0.00036582202,0.0014185638,0.0009773105,0.10933941],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908996,0.00023883225,0.00003553122,0.00025591117,0.00027981153,0.00010007661],"domain_scores_gemma":[0.99665403,0.0020820692,0.0001963506,0.00024277344,0.0005474084,0.00027738293],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015719488,0.0014135817,0.0010723472,0.002473296,0.0014494826,0.004446923,0.0015572067,0.0010514385,0.012213355],"category_scores_gemma":[0.009891874,0.00061094336,0.0014584346,0.0021536518,0.0049243914,0.004528619,0.0017783662,0.004817398,0.0024239847],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000070056216,0.000019561812,0.0007201215,0.00014730805,0.00003409494,0.0001855766,0.00071440433,0.009878629,0.0024441904,0.956055,0.0041517247,0.02557937],"study_design_scores_gemma":[0.000038000464,0.00004903945,0.0034895088,0.00010230871,0.000033897148,0.00050712866,0.00051558885,0.07654832,0.0025311667,0.88747436,0.028635636,0.00007515156],"about_ca_topic_score_codex":0.019323329,"about_ca_topic_score_gemma":0.015405424,"teacher_disagreement_score":0.019323329,"about_ca_system_score_codex":0.002681896,"about_ca_system_score_gemma":0.0013389176,"threshold_uncertainty_score":0.040857732},"labels":[],"label_agreement":null},{"id":"W837075299","doi":"10.71781/15352","title":"Clones sous-maximaux des fonctions monotones sur l'univers à trois éléments","year":2007,"lang":"fr","type":"dissertation","venue":"Open MIND","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Physics","score_opus":0.06855322747058941,"score_gpt":0.3684415843720923,"score_spread":0.2998883569015029,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W837075299","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78981614,0.0014746034,0.15073693,0.0013105036,0.00017825516,0.00009555416,0.0007162695,0.0005100143,0.055161737],"genre_scores_gemma":[0.85277724,0.0020379073,0.07686335,0.0002754752,0.00042932108,0.0003697183,0.0011458774,0.00039373242,0.065707386],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849904,0.00027049062,0.000058707337,0.0004263751,0.0004996504,0.00024576412],"domain_scores_gemma":[0.99249786,0.004518147,0.00060545054,0.00031449928,0.0012239072,0.00084023783],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019517536,0.0015152856,0.0016797163,0.0034883206,0.002791155,0.006322466,0.0011898993,0.0022533918,0.0076869167],"category_scores_gemma":[0.008613756,0.0010318431,0.0021417069,0.0016442656,0.004520415,0.0040176706,0.001830724,0.0042236266,0.0011103997],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007129265,0.000122008874,0.0054296986,0.00021085746,0.00014322392,0.0009609696,0.0020045303,0.0114388075,0.038315196,0.9056924,0.0031016204,0.03186766],"study_design_scores_gemma":[0.0006060081,0.0006797031,0.040161226,0.00036689217,0.00024574302,0.0047495565,0.0022939818,0.17210206,0.05448955,0.677645,0.046396296,0.00026391246],"about_ca_topic_score_codex":0.020438876,"about_ca_topic_score_gemma":0.017039206,"teacher_disagreement_score":0.020438876,"about_ca_system_score_codex":0.008213212,"about_ca_system_score_gemma":0.0022136117,"threshold_uncertainty_score":0.059591293},"labels":[],"label_agreement":null},{"id":"W878927669","doi":"10.1515/dema-2010-0203","title":"EFFECTIVE REGULARITY CRITERIA FOR ANALYTIC MAPPINGS","year":2010,"lang":"en","type":"article","venue":"Demonstratio Mathematica","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Applied mathematics","score_opus":0.03476228200850884,"score_gpt":0.3553007705955641,"score_spread":0.32053848858705525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W878927669","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36163008,0.009950589,0.47422266,0.002758943,0.0006501752,0.00013859774,0.00035137162,0.00028695722,0.15001076],"genre_scores_gemma":[0.9336643,0.0038800708,0.04010106,0.00027888687,0.0009901723,0.00012669043,0.00027444845,0.0001920375,0.020492343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990196,0.00025957386,0.00007653774,0.00014044352,0.00036768714,0.00013619225],"domain_scores_gemma":[0.99758375,0.00083688187,0.0003278677,0.00026173718,0.0006044655,0.00038530523],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001986493,0.00092961965,0.0008224545,0.005229469,0.0010302122,0.002481769,0.0010493016,0.0009047377,0.0045649284],"category_scores_gemma":[0.0052481266,0.00031635727,0.0007584839,0.0012452542,0.0029005103,0.0045533506,0.0024300166,0.0018181431,0.00061381405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011709426,0.000009054766,0.0002784022,0.00005658835,0.0000070613005,0.00011319963,0.0001312559,0.0012075077,0.0013004972,0.99206805,0.0005322477,0.004284352],"study_design_scores_gemma":[0.000013680879,0.000042010866,0.0005885611,0.000064256616,0.0000124976095,0.0003253621,0.00015778985,0.016970567,0.0014168295,0.9723025,0.008081128,0.000024881218],"about_ca_topic_score_codex":0.00031408772,"about_ca_topic_score_gemma":0.00025562788,"teacher_disagreement_score":0.005229469,"about_ca_system_score_codex":0.0011048744,"about_ca_system_score_gemma":0.00027346995,"threshold_uncertainty_score":0.015271246},"labels":[],"label_agreement":null},{"id":"W960615121","doi":"10.1007/978-1-4471-2918-9_4","title":"Application (I)—Hilbert’s 16th Problem","year":2012,"lang":"en","type":"book-chapter","venue":"Applied mathematical sciences","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Computer science; Mathematics","score_opus":0.05301488674217105,"score_gpt":0.30204962066708757,"score_spread":0.2490347339249165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W960615121","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.010079405,0.013730304,0.065298446,0.027938042,0.008787084,0.000088403234,0.00044767675,0.00011901618,0.8735116],"genre_scores_gemma":[0.26301712,0.019273352,0.043916248,0.010430608,0.010614182,0.00041433485,0.00087738695,0.0003963997,0.65106034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950993,0.00013084515,0.00003269847,0.00011926546,0.00013623077,0.00007112435],"domain_scores_gemma":[0.99975556,0.000093113005,0.00001540062,0.000045556655,0.00006673336,0.000023605287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009127372,0.0006920485,0.00063733914,0.00100631,0.0014077366,0.0020908166,0.0009884528,0.0019210203,0.018140178],"category_scores_gemma":[0.0013923091,0.00029589955,0.00087898836,0.0009321141,0.0048626573,0.005166461,0.0027932196,0.004145232,0.005509729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012326982,0.000009855681,0.000026298938,0.00008758934,0.0000051534957,0.000027050999,0.00014161482,0.00022288511,0.00030854243,0.96385884,0.021168755,0.014131061],"study_design_scores_gemma":[0.0000063242583,0.0000095405785,0.00006806075,0.000048340706,0.000003079688,0.00011295221,0.000076426266,0.0004065134,0.00039393437,0.851854,0.14701392,0.0000068439213],"about_ca_topic_score_codex":0.0013787157,"about_ca_topic_score_gemma":0.0007499737,"teacher_disagreement_score":0.018140178,"about_ca_system_score_codex":0.0023475664,"about_ca_system_score_gemma":0.0012978863,"threshold_uncertainty_score":0.06068492},"labels":[],"label_agreement":null}]}