{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":10,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":10,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"295aed300e3a","filters":{"venue":"Journal of Modern Dynamics"}},"results":[{"id":"W2067414917","doi":"10.3934/jmd.2008.2.249","title":"Spectral invariants in Lagrangian Floer theory","year":2008,"lang":"en","type":"article","venue":"Journal of Modern Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Submanifold; Floer homology; Hamiltonian (control theory); Lagrangian; Pure mathematics; Spectral sequence; Symplectic geometry; Homology (biology); Mathematical analysis; Mathematical physics; Cohomology","authors":[{"name":"Rémi Leclercq","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02989725763320975,"gpt":0.2687260060424875,"spread":0.2388287484092777,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004306994,0.000290118,0.0003039264,0.002500402,0.0006654381,0.001127296,0.0003984964,0.000413814,0.002399402],"category_scores_gemma":[0.001247728,0.0001337393,0.00029068,0.0008814743,0.002204494,0.002423857,0.0009024402,0.0006625484,0.0002894072],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001070195,"about_ca_system_score_gemma":0.0003582465,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008534925,"about_ca_topic_score_gemma":0.000546733,"domain_scores_codex":[0.9997821,0.00004116038,0.000009745877,0.00002812486,0.00008483874,0.00005392195],"domain_scores_gemma":[0.9995691,0.00009711224,0.0001038883,0.00004359171,0.0000836863,0.000102584],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000006716453,0.000009274284,0.0002450549,0.00001157435,0.00000197618,0.00002807978,0.0001449332,0.001189999,0.0006081549,0.9939126,0.0004093585,0.003432354],"study_design_scores_gemma":[0.000005554853,0.00002137462,0.0009683435,0.0000101794,0.000003229942,0.00006970314,0.0001167942,0.01007667,0.0005528859,0.9857001,0.00246314,0.00001203624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8008175,0.001743164,0.1041859,0.001094448,0.0002450905,0.00003422874,0.000193652,0.0003443895,0.0913416],"genre_scores_gemma":[0.9867438,0.0004243278,0.005887751,0.00009905394,0.0001745027,0.00001811941,0.0001086045,0.00004009048,0.006503655],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002500402,"threshold_uncertainty_score":0.008026838,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2006181200","doi":"10.3934/jmd.2007.1.37","title":"On the cohomological equation for nilflows","year":2007,"lang":"en","type":"article","venue":"Journal of Modern Dynamics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Kernel (algebra); Pure mathematics; Vector field; Manifold (fluid mechanics); Function (biology); Existential quantification; Function field; Field (mathematics); Flow (mathematics); Dynamical systems theory; Discrete mathematics; Geometry","authors":[{"name":"Livio Flaminio","is_ca":false},{"name":"Giovanni Forni","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08778556971369138,"gpt":0.337802275191908,"spread":0.2500167054782166,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002051982,0.0004595623,0.0008135507,0.002362804,0.002108411,0.001912503,0.0009473713,0.001717771,0.004931782],"category_scores_gemma":[0.005105611,0.000304597,0.000896683,0.0006917171,0.003815152,0.005307984,0.00451928,0.001980432,0.0004754759],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001673995,"about_ca_system_score_gemma":0.0007834858,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009885973,"about_ca_topic_score_gemma":0.000636431,"domain_scores_codex":[0.9993357,0.0001763153,0.00003932804,0.0001034747,0.0001726203,0.0001725582],"domain_scores_gemma":[0.9984969,0.0007083927,0.0001573339,0.000103184,0.0002398355,0.0002943036],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001059948,0.00001220544,0.0002756222,0.0000162637,0.000002530328,0.00007265658,0.0001723003,0.0005305454,0.0003742823,0.9966074,0.0004304167,0.001495098],"study_design_scores_gemma":[0.0000156054,0.00001675172,0.0003755302,0.00001186214,0.000002813426,0.0001178787,0.00009758018,0.008862952,0.000167998,0.9889536,0.001365388,0.0000120038],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7246852,0.001719647,0.1679505,0.007358835,0.0006250564,0.00008122297,0.0002903834,0.0001907125,0.09709845],"genre_scores_gemma":[0.9730354,0.0006078281,0.01214004,0.0006112467,0.0005710011,0.00007952019,0.0001737626,0.00005493074,0.01272629],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004931782,"threshold_uncertainty_score":0.01649845,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963045423","doi":"10.3934/jmd.2011.5.33","title":"Perfect retroreflectors and billiard dynamics","year":2011,"lang":"en","type":"article","venue":"Journal of Modern Dynamics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Fundação para a Ciência e a Tecnologia; Natural Sciences and Engineering Research Council of Canada; Leverhulme Trust","keywords":"Dynamical billiards; Mathematics; Mathematical analysis; Limit (mathematics); Interval (graph theory); Position (finance); Domain (mathematical analysis); Distribution (mathematics); Limiting; Geometry; Combinatorics","authors":[{"name":"Pavel Bachurin","is_ca":false},{"name":"Konstantin Khanin","is_ca":false},{"name":"Jens Marklof","is_ca":false},{"name":"Alexander Plakhov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0631647988209045,"gpt":0.2930499613083295,"spread":0.229885162487425,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006293773,0.0003353533,0.0003894113,0.0005371294,0.0005480812,0.001235507,0.0007350154,0.0005509226,0.001544586],"category_scores_gemma":[0.002334042,0.0002625265,0.0003936403,0.0002488483,0.002073228,0.001682107,0.00109801,0.0006448473,0.0002408628],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006878803,"about_ca_system_score_gemma":0.0002846463,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006764969,"about_ca_topic_score_gemma":0.0003518416,"domain_scores_codex":[0.9996145,0.0001036753,0.00002257589,0.0000622745,0.0001085877,0.00008842083],"domain_scores_gemma":[0.9989718,0.0003036369,0.0002539691,0.0002513144,0.00009336879,0.0001258993],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004314823,0.000019913,0.0005607546,0.00002919778,0.000007258219,0.0001260324,0.0000840838,0.01563245,0.004616882,0.9743936,0.0003390824,0.004147644],"study_design_scores_gemma":[0.00005309641,0.000119062,0.001690402,0.00002712903,0.00001286943,0.0004096145,0.0001032546,0.2959238,0.007311471,0.6909959,0.003309711,0.00004364565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7889771,0.0008190104,0.1882973,0.0004301218,0.00007290626,0.00002159046,0.00006492758,0.0002999372,0.02101702],"genre_scores_gemma":[0.9902592,0.0001749479,0.006635091,0.00004996902,0.00001799822,0.00001363153,0.00003969387,0.00002529799,0.002784235],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001544586,"threshold_uncertainty_score":0.005167186,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2940935273","doi":"10.3934/jmd.2021006","title":"Cusp excursion in hyperbolic manifolds and singularity of harmonic measure","year":2021,"lang":"en","type":"preprint","venue":"Journal of Modern Dynamics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Excursion; Cusp (singularity); Measure (data warehouse); Mathematics; Geodesic; Lebesgue measure; Boundary (topology); Hyperbolic manifold; Singularity; Pure mathematics; Hyperbolic space; Harmonic measure; Manifold (fluid mechanics); Mathematical analysis; Lebesgue integration; Harmonic function; Geometry; Hyperbolic function","authors":[{"name":"Anja Randecker","is_ca":true},{"name":"Giulio Tiozzo","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0436102863553861,"gpt":0.2996334301004996,"spread":0.2560231437451135,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003105389,0.0005796952,0.0005551989,0.001697747,0.0009149666,0.001873155,0.0008667769,0.0008442119,0.009450875],"category_scores_gemma":[0.002194129,0.0002749615,0.0006567748,0.0005034598,0.001475345,0.001609022,0.002111257,0.001404718,0.00125874],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008680013,"about_ca_system_score_gemma":0.0003156246,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007798876,"about_ca_topic_score_gemma":0.000457474,"domain_scores_codex":[0.9996762,0.00005655818,0.00002109905,0.00008076221,0.0001036874,0.00006169848],"domain_scores_gemma":[0.9993342,0.0001445008,0.0001182135,0.00008374917,0.0001031987,0.0002161856],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008357679,0.0000448639,0.001724719,0.0001926005,0.00001800619,0.000693289,0.0005555777,0.007358574,0.008265459,0.9597044,0.00403872,0.01732027],"study_design_scores_gemma":[0.00003310628,0.0001473336,0.00374386,0.00009507538,0.00002128329,0.00116503,0.0003239331,0.1271609,0.004301582,0.8496567,0.01328295,0.00006825424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6703127,0.002323754,0.2186317,0.001448946,0.0005422187,0.0001589708,0.0004997077,0.000915039,0.105167],"genre_scores_gemma":[0.9594353,0.000649697,0.0171751,0.0001969675,0.0003024104,0.00005775954,0.0003543597,0.0003652777,0.02146314],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009450875,"threshold_uncertainty_score":0.03161633,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2076940753","doi":"10.3934/jmd.2008.2.701","title":"On the spectrum of geometric operators on Kähler manifolds","year":2008,"lang":"de","type":"article","venue":"Journal of Modern Dynamics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; McGill University; Fonds Québécois de la Recherche sur la Nature et les Technologies; National Science Foundation","keywords":"Unitary state; Spectrum (functional analysis); Differential operator; Homogeneous space; Operator (biology); Ergodicity; Essential spectrum; Unitary operator; Space (punctuation); Quantum","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03578348955271645,"gpt":0.2505659551162516,"spread":0.2147824655635352,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008373177,0.0007319772,0.0005932082,0.002273573,0.001046602,0.001354178,0.0008104391,0.0008716269,0.005001985],"category_scores_gemma":[0.002515602,0.00033108,0.0003294063,0.0008496059,0.003076902,0.002610396,0.0013429,0.000717674,0.0005224207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008889358,"about_ca_system_score_gemma":0.0003916314,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007810836,"about_ca_topic_score_gemma":0.0005011996,"domain_scores_codex":[0.9995784,0.0001001677,0.00001736067,0.0000623139,0.0001467368,0.00009502343],"domain_scores_gemma":[0.999167,0.0002943045,0.0001308127,0.00009112739,0.0001295632,0.0001872616],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007845318,0.0000647344,0.00156937,0.00005637476,0.00001225363,0.0003664323,0.0006587019,0.008402999,0.009545621,0.9729267,0.0006226652,0.005695791],"study_design_scores_gemma":[0.00002553437,0.00006283854,0.0039269,0.00003749928,0.000006990595,0.0003375576,0.0002314221,0.09863006,0.001873623,0.893922,0.0009090791,0.00003637988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9544521,0.0005240929,0.03509748,0.0003471404,0.00003123744,0.00001256011,0.00007186437,0.0001038556,0.009359586],"genre_scores_gemma":[0.9956552,0.0002920332,0.00186965,0.00004485466,0.000076534,0.00001712228,0.00007518537,0.00003399163,0.001935423],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005001985,"threshold_uncertainty_score":0.01673335,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2176242446","doi":"10.3934/jmd.2017015","title":"Escape of mass in homogeneous dynamics in positive characteristic","year":2017,"lang":"en","type":"article","venue":"Journal of Modern Dynamics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Homogeneous; Dynamics (music); Physics; Statistical physics","authors":[{"name":"Alexander Kemarsky","is_ca":true},{"name":"Uri Shapira","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02247106403133738,"gpt":0.304336684434066,"spread":0.2818656204027286,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007930177,0.0004108938,0.0006037678,0.001148323,0.0008499742,0.001471436,0.0006512704,0.000399122,0.001294901],"category_scores_gemma":[0.004282722,0.0002197919,0.000561785,0.0005450368,0.002820913,0.002374594,0.002066465,0.000935293,0.00009316823],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009432139,"about_ca_system_score_gemma":0.0003870385,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009204061,"about_ca_topic_score_gemma":0.000548519,"domain_scores_codex":[0.9996189,0.00009582401,0.00001681402,0.00006147417,0.00008337261,0.0001235257],"domain_scores_gemma":[0.9978404,0.0009852787,0.0004938624,0.00021218,0.0001447424,0.0003234122],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002025409,0.0000547502,0.004831076,0.0000715064,0.00002849984,0.000564884,0.0008646175,0.03384551,0.007117249,0.9465944,0.0004774931,0.005347388],"study_design_scores_gemma":[0.00007731693,0.0002192338,0.003234846,0.00002811454,0.00003860208,0.0005533458,0.0004365113,0.216598,0.004894381,0.7724104,0.001460286,0.00004891558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9571971,0.000147404,0.03757486,0.0001673359,0.00001599527,0.000009740743,0.00002398917,0.00006192281,0.004801677],"genre_scores_gemma":[0.9955837,0.0001054854,0.003053808,0.00002508889,0.0000182764,0.00001177911,0.00001890078,0.00001377558,0.001169158],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001471436,"threshold_uncertainty_score":0.006843507,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3214601692","doi":"10.3934/jmd.2025008","title":"A global shadow lemma and logarithm law for geometrically finite Hilbert geometries","year":2025,"lang":"en","type":"article","venue":"Journal of Modern Dynamics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Lemma (botany); Shadow (psychology); Logarithm; Geodesic; Pure mathematics; Dirichlet distribution; Hilbert space; Hilbert manifold; Mathematical analysis","authors":[{"name":"Harrison Bray","is_ca":false},{"name":"Giulio Tiozzo","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02412018293559502,"gpt":0.3133163994979896,"spread":0.2891962165623946,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008130035,0.0005890092,0.0006723519,0.001794701,0.0008739637,0.002040918,0.0005603338,0.0005886626,0.007031764],"category_scores_gemma":[0.00338797,0.0002248514,0.0007578824,0.0005773833,0.004181863,0.005105173,0.004074102,0.002067757,0.0006075114],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008582334,"about_ca_system_score_gemma":0.0003575812,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004219384,"about_ca_topic_score_gemma":0.000269313,"domain_scores_codex":[0.9995466,0.00006894046,0.00002788465,0.0001029197,0.0001614529,0.00009224126],"domain_scores_gemma":[0.9984881,0.0005665835,0.0002025714,0.0002063711,0.0001862658,0.0003501242],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002102067,0.00001758211,0.0009441493,0.00004750939,0.000008102645,0.0002980268,0.0003700478,0.0008143273,0.003077418,0.98766,0.0005882347,0.006153669],"study_design_scores_gemma":[0.00003324468,0.00009069868,0.001874577,0.00001904187,0.0000148638,0.0008302156,0.0003056891,0.01086855,0.004434275,0.9767916,0.004712775,0.00002451739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6178455,0.001549577,0.2854512,0.002297684,0.0002120698,0.0001104317,0.0003251337,0.0004809479,0.09172753],"genre_scores_gemma":[0.9815968,0.0004308613,0.007685607,0.0001867376,0.0001519042,0.00004378983,0.0001274829,0.00006697483,0.009709794],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007031764,"threshold_uncertainty_score":0.02352363,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4391405830","doi":"10.3934/jmd.2024001","title":"Entropy-efficient finitary codings","year":2024,"lang":"fr","type":"article","venue":"Journal of Modern Dynamics","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Israel Science Foundation","keywords":"Mathematics; Finitary; Entropy (arrow of time); Pure mathematics; Discrete mathematics; Combinatorics","authors":[{"name":"Tom Meyerovitch","is_ca":false},{"name":"Yinon Spinka","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02335511496844141,"gpt":0.2588137039652014,"spread":0.23545858899676,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009437401,0.0003849649,0.0005226092,0.0008198082,0.0009706652,0.001728193,0.0009206675,0.0006584605,0.005269181],"category_scores_gemma":[0.006293879,0.0002743147,0.0008592358,0.0004603357,0.00243712,0.002915478,0.002323116,0.001526573,0.0005473113],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001797312,"about_ca_system_score_gemma":0.0008534522,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001299806,"about_ca_topic_score_gemma":0.0009830887,"domain_scores_codex":[0.9989506,0.0001610014,0.00005753402,0.0002290872,0.0003273199,0.0002744389],"domain_scores_gemma":[0.9970579,0.001347916,0.0002683341,0.0007165341,0.0003437919,0.000265546],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003530926,0.00001566468,0.0003147527,0.00001707685,0.000003937404,0.00006644808,0.000196605,0.005254894,0.001651869,0.9885867,0.0002514852,0.003605222],"study_design_scores_gemma":[0.0000197407,0.00002890159,0.0002757663,0.00001422609,0.000008200708,0.00008930487,0.00006667462,0.07752372,0.003427924,0.9164171,0.002109756,0.00001865934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4301542,0.0003369251,0.5056512,0.0008496541,0.0001390097,0.00009015753,0.0002940947,0.0007144798,0.06177037],"genre_scores_gemma":[0.9659457,0.0001071004,0.02529028,0.00009248559,0.00005448996,0.00005547001,0.0001234568,0.00009905172,0.008231886],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005269181,"threshold_uncertainty_score":0.01762712,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4387075728","doi":"10.3934/jmd.2025018","title":"On the Hofer–Zehnder conjecture for semipositive symplectic manifolds","year":2025,"lang":"en","type":"preprint","venue":"Journal of Modern Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Division of Mathematical Sciences; Courtois Foundation; Université de Montréal; National Science Foundation","keywords":"Contractible space; Symplectic geometry; Diffeomorphism; Conjecture; Betti number; Hamiltonian (control theory); Mathematics; Symplectic manifold; Pure mathematics; Floer homology; Homology (biology); Manifold (fluid mechanics); Symplectomorphism; Biology; Genetics","authors":[{"name":"Marcelo S. Atallah","is_ca":false},{"name":"Han Lou","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03453637437581759,"gpt":0.3166833269726714,"spread":0.2821469525968538,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00166888,0.0005815427,0.0006415142,0.001483681,0.001180969,0.001475454,0.0007560141,0.0008277391,0.003837156],"category_scores_gemma":[0.005584484,0.0001940514,0.0004377196,0.000544828,0.004347665,0.004448513,0.002468159,0.001462676,0.0003674463],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000694845,"about_ca_system_score_gemma":0.000330086,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005269292,"about_ca_topic_score_gemma":0.0004387761,"domain_scores_codex":[0.9995626,0.0001188997,0.00001603798,0.00007982236,0.0001380032,0.00008465719],"domain_scores_gemma":[0.9966425,0.001996538,0.0004564382,0.0003286316,0.0002384611,0.0003374792],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000955212,0.00002530662,0.0008216675,0.00007238414,0.00001066646,0.0002035736,0.00032138,0.00435397,0.003152861,0.9849964,0.0008938262,0.005052289],"study_design_scores_gemma":[0.0000174624,0.00004897811,0.0009749862,0.00002918813,0.00001180991,0.0001592938,0.0001139297,0.01482676,0.00140852,0.9809811,0.001411431,0.00001650336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9049711,0.001254193,0.05383529,0.002249519,0.0001659159,0.00001885707,0.00009003122,0.0001518406,0.03726327],"genre_scores_gemma":[0.993853,0.000488392,0.002967989,0.0001350259,0.0001488,0.00002047976,0.00005807185,0.00001907981,0.002309254],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003837156,"threshold_uncertainty_score":0.01283664,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4386973034","doi":"10.3934/jmd.2023019","title":"Circle homeomorphisms with breaks with no <inline-formula><tex-math id=\"M1\">$\\boldsymbol{C^{2-\\nu}}$</tex-math></inline-formula> conjugacy","year":2023,"lang":"en","type":"article","venue":"Journal of Modern Dynamics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjugacy class; Rotation number; Gravitational singularity; Diophantine equation; Topological conjugacy; Rigidity (electromagnetism); Pure mathematics; Fixed point; Rotation (mathematics); Combinatorics; Mathematical analysis; Geometry","authors":[{"name":"Nataliya Goncharuk","is_ca":false},{"name":"Konstantin Khanin","is_ca":true},{"name":"Yury Kudryashov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01761497348057153,"gpt":0.2598952551174586,"spread":0.2422802816368871,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002991637,0.0005512856,0.0004663195,0.0009530231,0.0009878202,0.001491377,0.0005432514,0.001046862,0.01153686],"category_scores_gemma":[0.001746711,0.0002703319,0.0007814122,0.0004391243,0.001595125,0.001840413,0.001702758,0.001572369,0.001846597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008127352,"about_ca_system_score_gemma":0.0002896755,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005672397,"about_ca_topic_score_gemma":0.0004614145,"domain_scores_codex":[0.9996015,0.00004070733,0.00002464466,0.0001148138,0.0001470818,0.00007121564],"domain_scores_gemma":[0.9991806,0.0001600564,0.0002499384,0.0002058264,0.00008700789,0.0001166332],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001076932,0.00002663858,0.0009673772,0.00007776159,0.0000197216,0.0004796378,0.0002865469,0.003623664,0.009385485,0.9689631,0.001811616,0.01425082],"study_design_scores_gemma":[0.00005734438,0.0001932276,0.00420905,0.00005090222,0.00005573187,0.001877821,0.0004189121,0.04051577,0.01928092,0.9036452,0.02963213,0.00006297699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6090199,0.00101122,0.247918,0.001218369,0.0004523814,0.0001347576,0.0005071239,0.0006682015,0.13907],"genre_scores_gemma":[0.9557346,0.000324754,0.01719848,0.0001427532,0.0002010466,0.00005120862,0.0002987407,0.0001932499,0.02585511],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01153686,"threshold_uncertainty_score":0.03859466,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}