{"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"},"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","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006691205,0.0001171858,0.0003426625,0.0004088492,0.00003975482,0.000008201902,0.0002558648,0.0001168922,0.0001144952],"category_scores_gemma":[0.0004422492,0.00009512475,0.000129481,0.0002758192,0.00007829598,0.0001282249,0.00003603052,0.0004023156,0.00001194031],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001300538,"about_ca_system_score_gemma":0.0001074637,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006757315,"about_ca_topic_score_gemma":0.00007696109,"domain_scores_codex":[0.9988005,0.0001038271,0.0005035816,0.00009370346,0.0002472883,0.0002511335],"domain_scores_gemma":[0.9990683,0.0003285605,0.0002903877,0.0001550455,0.00007336126,0.00008440284],"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":[0.0003931604,0.001592958,0.1054796,0.0001055351,0.0003730822,0.004324046,0.006526583,0.001459026,0.0002018516,0.8524927,0.002486343,0.02456508],"study_design_scores_gemma":[0.00105722,0.0001202984,0.02777925,0.00003015129,0.00002814783,0.00191989,0.0001529243,0.01163967,0.00002189232,0.957073,0.00004625743,0.0001313257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9235049,0.000193299,0.07262382,0.0003806514,0.0002495082,0.00005468816,0.000003507599,0.000009843831,0.002979744],"genre_scores_gemma":[0.9890835,0.00009011279,0.009499438,0.00009881056,0.0001316116,3.386157e-7,7.904001e-7,0.00001909685,0.001076337],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1045802,"threshold_uncertainty_score":0.3879074,"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","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002912781,0.0001209032,0.0002724065,0.00006959886,0.00008066258,0.00003669281,0.0002624654,0.0001174575,0.00003872755],"category_scores_gemma":[0.002428798,0.00006696267,0.0002205351,0.0000660146,0.00004565082,0.00005790433,0.00002537469,0.0002744305,0.000004648049],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001248503,"about_ca_system_score_gemma":0.00002876194,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.812514e-7,"about_ca_topic_score_gemma":0.00001039645,"domain_scores_codex":[0.9986358,0.00003823746,0.0006447993,0.00008613473,0.0003788889,0.0002161284],"domain_scores_gemma":[0.9944541,0.004519735,0.0005229095,0.0001916002,0.0002342638,0.00007739186],"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":[0.0001269106,0.0002300483,0.00003836107,0.00003267105,0.00004525803,0.000009932241,0.0001038943,0.0003127721,0.00005393716,0.9901894,0.0004796979,0.008377084],"study_design_scores_gemma":[0.0002034066,0.000166022,0.00006043627,0.00002840379,0.0000265718,0.00002923822,0.00002452649,0.4032236,0.00001271608,0.596129,0.00004500166,0.00005106296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2378406,0.00001347924,0.7583914,0.0009529374,0.0001858552,0.0002062199,0.000008430903,0.000008686936,0.002392392],"genre_scores_gemma":[0.9584175,0.000007387129,0.04053496,0.0003012385,0.0001407908,0.000002880794,0.000002543991,0.00002347368,0.0005691904],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.720577,"threshold_uncertainty_score":0.2907674,"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","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008722948,0.0002540046,0.0006011237,0.0002071227,0.00007295814,0.00005043487,0.0003222604,0.0001907247,0.00007594787],"category_scores_gemma":[0.0005230478,0.0001915951,0.0002294679,0.0001427032,0.0001204463,0.0002199192,0.0001004168,0.0004876236,0.000004714674],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002259001,"about_ca_system_score_gemma":0.00005961182,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000774131,"about_ca_topic_score_gemma":0.0001090334,"domain_scores_codex":[0.9981697,0.00007373454,0.0008340667,0.0001816002,0.0004260739,0.0003148783],"domain_scores_gemma":[0.998189,0.0003236386,0.0006825066,0.0003158162,0.0002563928,0.0002325931],"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":[0.0002288127,0.0007676178,0.01429851,0.0004773761,0.0004248732,0.0001878836,0.00226924,0.00002448623,0.0001598952,0.9494081,0.0003037503,0.03144952],"study_design_scores_gemma":[0.0003080048,0.000232395,0.0009881838,0.00008137654,0.0001045064,0.0002583216,0.00008048727,0.4124026,0.00001721442,0.5853438,0.00001438075,0.0001687772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7091374,0.0001180629,0.2821566,0.0001328264,0.0002253952,0.0001302256,0.00002321249,0.00002852293,0.008047716],"genre_scores_gemma":[0.9440233,0.0001484614,0.05522685,0.00004543739,0.00007265028,0.000001279942,0.000002698936,0.0000598523,0.0004194959],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4123781,"threshold_uncertainty_score":0.781302,"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","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001491686,0.0003342227,0.001342023,0.0002865371,0.00002868426,0.00009270341,0.0004128882,0.0005752312,0.00002163733],"category_scores_gemma":[0.0007177962,0.0002969407,0.0003656585,0.0001175612,0.00008255874,0.0001169489,0.0005410461,0.001411215,3.345938e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002684579,"about_ca_system_score_gemma":0.0002778384,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002671056,"about_ca_topic_score_gemma":0.0002302963,"domain_scores_codex":[0.9971094,0.0001653889,0.001466434,0.0002736183,0.0007247686,0.0002604344],"domain_scores_gemma":[0.9970416,0.0003349664,0.001501694,0.0004905276,0.000485992,0.0001451749],"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":[0.00153114,0.01819117,0.03975153,0.05418976,0.004765634,0.004142082,0.02391007,0.01107621,0.01089604,0.6174553,0.0004992651,0.2135918],"study_design_scores_gemma":[0.0005332879,0.00005403542,0.001669702,0.002108232,0.0001895282,0.0001811791,0.0001005547,0.3800437,0.00003700806,0.6148602,0.000002530594,0.000220027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8683604,0.001767293,0.1285796,0.0002758992,0.000249845,0.0002094458,0.00003857183,0.000008555358,0.0005103319],"genre_scores_gemma":[0.9600169,0.0008115882,0.03895025,0.00001908658,0.00006712021,0.000001639308,0.00001167816,0.00005489198,0.000066851],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3689675,"threshold_uncertainty_score":0.9999483,"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","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001229905,0.0004819728,0.0009655599,0.001105523,0.0002778344,0.0000702185,0.001149437,0.0002957431,0.0005265634],"category_scores_gemma":[0.0005022102,0.0003274906,0.0006765109,0.001219435,0.000160738,0.0001480515,0.0001582266,0.001229152,0.0001993576],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003871091,"about_ca_system_score_gemma":0.0002438056,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008947686,"about_ca_topic_score_gemma":0.00001248937,"domain_scores_codex":[0.9959088,0.0002624447,0.001497421,0.0002744743,0.001521063,0.0005357955],"domain_scores_gemma":[0.9955894,0.001385573,0.001607824,0.0008608466,0.0003494045,0.0002069672],"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":[0.002162492,0.00850862,0.006956644,0.0008493349,0.004624761,0.002070535,0.004184136,0.07727142,0.000212492,0.8573331,0.02743429,0.008392209],"study_design_scores_gemma":[0.005155854,0.01171453,0.01499883,0.001820469,0.001662526,0.001773597,0.0009471272,0.3870119,0.002160966,0.568435,0.002562224,0.001757095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9665453,0.001150328,0.02452064,0.001677665,0.001514114,0.0002846503,0.00005812349,0.00001520717,0.004233935],"genre_scores_gemma":[0.9957942,0.0009855032,0.0006580364,0.0003593276,0.000559952,0.00000128833,0.000003237585,0.00008034877,0.001558114],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3097405,"threshold_uncertainty_score":0.9999177,"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","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005181332,0.0001742546,0.000629882,0.000201501,0.00005076371,0.00005061305,0.0005405811,0.0001425271,0.000009042432],"category_scores_gemma":[0.002026733,0.0001598271,0.0001026787,0.00007270493,0.00006900539,0.0001541945,0.00008692835,0.0004163142,0.000001329899],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004743926,"about_ca_system_score_gemma":0.0001398434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000337425,"about_ca_topic_score_gemma":0.0009263245,"domain_scores_codex":[0.9982945,0.00004082824,0.0008996889,0.0001440334,0.0003553627,0.0002655406],"domain_scores_gemma":[0.9976781,0.0004617942,0.001165044,0.0003278577,0.000276385,0.0000908085],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001295988,0.001564354,0.01130838,0.001070852,0.0002317456,0.002557204,0.001397486,0.001519275,0.000915691,0.8675941,0.00002287055,0.1105221],"study_design_scores_gemma":[0.0005304085,0.0001475454,0.003559356,0.0002867134,0.0000336354,0.00009260802,0.00007152888,0.5700915,0.00002252794,0.4250669,2.471253e-7,0.00009694379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3525775,0.00006100319,0.6462473,0.0001853534,0.0002214428,0.0001135151,0.0001360654,0.000004700071,0.0004532072],"genre_scores_gemma":[0.9701783,0.00006759306,0.02960515,0.00001546309,0.00004149992,0.000001632144,0.000004496006,0.00002919698,0.00005667339],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6176008,"threshold_uncertainty_score":0.6517559,"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","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008702914,0.0002243132,0.0006754308,0.0003448348,0.0001058848,0.0001614878,0.0003253809,0.0002030259,0.00001255107],"category_scores_gemma":[0.002734157,0.0001825889,0.0002413259,0.0005689794,0.0001298421,0.0001878831,0.000146191,0.0002341397,9.852828e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002256698,"about_ca_system_score_gemma":0.0001048819,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000141065,"about_ca_topic_score_gemma":0.0001965304,"domain_scores_codex":[0.9981977,0.00002885417,0.0008948181,0.0001916135,0.0003671484,0.0003199076],"domain_scores_gemma":[0.9963739,0.002268366,0.0004903791,0.0002445319,0.0004760162,0.0001468144],"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":[0.0001241586,0.0003055386,0.001024392,0.0004308735,0.0002595004,0.00001724345,0.00005916867,0.0002321542,0.000006301765,0.9757587,0.0005724193,0.02120956],"study_design_scores_gemma":[0.0007718148,0.000146777,0.0002731411,0.0001200688,0.0001387719,0.0000551285,0.00002362047,0.294645,0.000002937875,0.7031779,0.0005203463,0.0001246072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04544735,0.0004811965,0.945122,0.001911748,0.0002184956,0.0002829234,0.0001766,0.00002170391,0.006338004],"genre_scores_gemma":[0.8876212,0.0001157288,0.1102591,0.0005490757,0.00008654883,0.000007096655,0.000008789651,0.00003104581,0.001321499],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8421738,"threshold_uncertainty_score":0.7445761,"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","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001777639,0.0004034859,0.0006075416,0.0004152228,0.0001358782,0.0009826757,0.001585302,0.0002513741,0.00009886221],"category_scores_gemma":[0.0002063295,0.0003770562,0.000640429,0.0007503378,0.0002685194,0.0007786267,0.0007356295,0.001367049,0.0001338446],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001367744,"about_ca_system_score_gemma":0.0009508258,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003772388,"about_ca_topic_score_gemma":0.00002644208,"domain_scores_codex":[0.9960581,0.000260195,0.001243824,0.000562138,0.001159865,0.000715844],"domain_scores_gemma":[0.9972392,0.0007048614,0.0004159861,0.000588596,0.0006531687,0.0003982178],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003132762,0.000682174,0.0002722508,0.0003806632,0.0002452341,0.002732738,0.003055313,0.294432,0.00007369799,0.1884956,0.002694587,0.5069044],"study_design_scores_gemma":[0.0003025454,0.0004319034,0.0004922443,0.0005257417,0.0001101717,0.00270281,0.0000346526,0.8817263,0.00001712086,0.1056967,0.007641717,0.000318114],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05430881,0.03647285,0.870972,0.02054352,0.01678449,0.0001628473,0.00004555059,0.00008952669,0.0006203894],"genre_scores_gemma":[0.8928323,0.001083338,0.09944059,0.0004648708,0.002085096,0.000001586639,0.000004568712,0.00006893267,0.004018739],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8385234,"threshold_uncertainty_score":0.9998682,"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","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008550662,0.000366319,0.0008022552,0.0004248852,0.0001315881,0.0000723797,0.000748975,0.0006006901,0.00004464233],"category_scores_gemma":[0.001518336,0.0002369716,0.0005917389,0.0001773137,0.00007801961,0.00003169802,0.0003032955,0.001620526,0.000002088766],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004793114,"about_ca_system_score_gemma":0.0004957074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007260664,"about_ca_topic_score_gemma":0.00004739808,"domain_scores_codex":[0.9980767,0.0001679324,0.0007544638,0.0002712866,0.000396599,0.0003329635],"domain_scores_gemma":[0.9933778,0.00443748,0.001148727,0.0004800076,0.0004784534,0.00007753401],"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":[0.0002252612,0.0002767,0.00009298401,0.0006413443,0.001491879,0.00004202627,0.0009028343,0.00619277,0.000004429088,0.9740517,0.01264095,0.003437123],"study_design_scores_gemma":[0.0005434398,0.0002611975,0.00007624307,0.0003956989,0.0005284284,0.000127499,0.0001209292,0.05841815,0.00002473927,0.9392176,0.00008232831,0.0002037522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1604161,0.000678486,0.8254956,0.007364473,0.001971333,0.0009002515,0.0003000579,0.00003265351,0.002840977],"genre_scores_gemma":[0.9890625,0.0001127645,0.005311297,0.000932401,0.0003831371,0.00002203235,0.00001670827,0.00004979347,0.004109295],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8286464,"threshold_uncertainty_score":0.9663421,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4386973034","doi":"10.3934/jmd.2023019","title":"Circle homeomorphisms with breaks with no &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$\\boldsymbol{C^{2-\\nu}}$&lt;/tex-math&gt;&lt;/inline-formula&gt; 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","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.003063352,0.001786445,0.003441079,0.001104099,0.0006452037,0.0007130273,0.002137182,0.0009906203,0.0001852598],"category_scores_gemma":[0.0009458554,0.001376313,0.001018056,0.00155807,0.0005926117,0.001469572,0.0006274385,0.002035319,0.0005006102],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009007744,"about_ca_system_score_gemma":0.0009612856,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001937516,"about_ca_topic_score_gemma":0.0005115485,"domain_scores_codex":[0.9886208,0.0002367603,0.003864055,0.001257411,0.003701739,0.00231928],"domain_scores_gemma":[0.9890795,0.001593668,0.003533358,0.002185809,0.002269348,0.001338303],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.003750819,0.007968648,0.001507471,0.005766476,0.005817351,0.005861663,0.005596483,0.01999408,0.01225104,0.8917888,0.008464696,0.03123247],"study_design_scores_gemma":[0.005455925,0.001773276,0.0009210049,0.001737788,0.0009645607,0.002383257,0.0001869459,0.8618034,0.00008194912,0.1194632,0.003366216,0.001862507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8276938,0.0004407974,0.1606668,0.001430974,0.0008331323,0.001629369,0.0008446823,0.0005644365,0.005895974],"genre_scores_gemma":[0.946232,0.0009117742,0.04391981,0.0004978634,0.00100028,0.00007323176,0.0003896543,0.0008018031,0.006173601],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8418093,"threshold_uncertainty_score":0.9994881,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}