{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":39,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":39,"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":"136b8c02e52e","filters":{"venue":"Monatshefte für Mathematik"}},"results":[{"id":"W2033362178","doi":"10.1007/s00605-014-0721-4","title":"Acyclic, connected and tree sets","year":2014,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"semigroups and automata theory","field":"Computer Science","cited_by":54,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"Agence Nationale de la Recherche","keywords":"Combinatorics; Mathematics; Word (group theory); Alphabet; Extension (predicate logic); Discrete mathematics; Tree (set theory); Graph; Directed acyclic graph; Set (abstract data type); Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.01175038979836887,"gpt":0.2496250604831532,"spread":0.2378746706847844,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009305643,0.0005730304,0.0007488887,0.0002167836,0.0003356208,0.0006342402,0.001264643,0.0002735793,0.0002676099],"category_scores_gemma":[0.0003802663,0.00051648,0.0001739364,0.0004303807,0.0002560552,0.0005575594,0.0008417828,0.0003714219,0.001465288],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004679522,"about_ca_system_score_gemma":0.00004812524,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003124864,"about_ca_topic_score_gemma":0.000008487086,"domain_scores_codex":[0.9965859,0.0003326373,0.0007061632,0.00101915,0.0005696173,0.0007865537],"domain_scores_gemma":[0.9967486,0.0009486159,0.000390283,0.001450293,0.000105942,0.0003562418],"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":[0.00002993095,0.0004190811,0.0002589536,0.0005774709,0.0002368558,0.00007343999,0.006597176,0.00001537036,0.002830313,0.5339983,0.0176745,0.4372886],"study_design_scores_gemma":[0.001857702,0.0003383873,0.006460133,0.0005464586,0.0001615248,0.000136579,0.0001992827,0.5721883,0.002975621,0.3439836,0.06982147,0.001330893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5926505,0.02366836,0.3212586,0.01049675,0.005247765,0.00184878,0.0001075546,0.002500888,0.04222085],"genre_scores_gemma":[0.9740391,0.0005053664,0.02111167,0.00168083,0.0005009941,0.00004662658,0.00002363895,0.00009850398,0.001993232],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5721729,"threshold_uncertainty_score":0.9997287,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1965299363","doi":"10.1007/s00605-013-0481-6","title":"Integer valued polynomials on lower triangular integer matrices","year":2013,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Integer (computer science); Triangular matrix; Closure (psychology); Quotient; Integral domain; Order (exchange); Field (mathematics); Combinatorics; Polynomial; Ring (chemistry); Ring of integers; Discrete mathematics; Algebra over a field; Algebraic number field; Pure mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.02845374628654042,"gpt":0.3127482094427108,"spread":0.2842944631561704,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.00153863,0.001711537,0.002329396,0.0008236392,0.0004260072,0.0007081394,0.001953777,0.001074371,0.0208668],"category_scores_gemma":[0.003398189,0.001486307,0.001056781,0.0008762744,0.0004570387,0.0009261268,0.0007753289,0.001790773,0.0443817],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007002885,"about_ca_system_score_gemma":0.0001876922,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007130671,"about_ca_topic_score_gemma":0.000004991522,"domain_scores_codex":[0.991383,0.0005364626,0.00283862,0.001664465,0.001770123,0.001807373],"domain_scores_gemma":[0.9912111,0.002588473,0.00173455,0.003244325,0.0005877344,0.0006338494],"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":[0.0003374155,0.003641594,0.00004232841,0.002421261,0.001727673,0.0002838162,0.005872877,0.00006268809,0.001950787,0.753974,0.2171285,0.01255713],"study_design_scores_gemma":[0.002674005,0.000621716,0.00005890591,0.001891522,0.0007008902,0.00004356297,0.001073815,0.003072893,0.007353905,0.9297121,0.05065533,0.002141331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5674075,0.03472743,0.1420016,0.01573611,0.03088141,0.02284891,0.0007134087,0.004151485,0.1815322],"genre_scores_gemma":[0.6112599,0.001928536,0.2046241,0.006123414,0.009583221,0.002680186,0.0001821835,0.002391777,0.1612266],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1757382,"threshold_uncertainty_score":0.9995631,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1994291511","doi":"10.1007/s00605-008-0085-8","title":"The number of integer points on Vinogradov’s quadric","year":2008,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Quadric; Integer (computer science); Mathematics; Combinatorics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.05271963119292052,"gpt":0.3547831155753927,"spread":0.3020634843824722,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.003195,0.000883611,0.001406823,0.0002831711,0.0009297894,0.000120194,0.002008724,0.0004459079,0.003783438],"category_scores_gemma":[0.002831534,0.0006108402,0.0008913411,0.001031222,0.001657786,0.0002031023,0.0006486082,0.001383773,0.01603331],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003161927,"about_ca_system_score_gemma":0.0002998639,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005428608,"about_ca_topic_score_gemma":0.000009303918,"domain_scores_codex":[0.9924406,0.0008599632,0.002048553,0.0007179573,0.002523562,0.001409299],"domain_scores_gemma":[0.9890584,0.006037764,0.001095044,0.002791065,0.0006201442,0.0003975922],"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":[0.0005226599,0.003061912,0.002670598,0.00151631,0.001946447,0.0003031627,0.01414245,0.00001198321,0.000140359,0.8181487,0.1536741,0.003861241],"study_design_scores_gemma":[0.002310072,0.0004165097,0.001504797,0.00127204,0.000600613,0.000503067,0.003943479,0.003275007,0.003289645,0.9434916,0.03798852,0.001404666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7462169,0.005582271,0.007073048,0.008024113,0.002579058,0.003861108,0.0002382213,0.0005271999,0.2258981],"genre_scores_gemma":[0.9279699,0.001825929,0.003494585,0.0003371503,0.0006050892,0.0001545448,0.00001900279,0.0003770186,0.06521678],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.181753,"threshold_uncertainty_score":0.9996343,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2018442047","doi":"10.1007/s00605-008-0039-1","title":"L p discrepancy of generalized two-dimensional Hammersley point sets","year":2008,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Saint Paul University","funders":"","keywords":"Combinatorics; Point (geometry); Mathematics; Set (abstract data type); Order (exchange); Permutation (music); Computer science; Physics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.04787990544494705,"gpt":0.320210691786666,"spread":0.2723307863417189,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001333437,0.001021212,0.001992079,0.0004345853,0.0004358696,0.00008082305,0.0007192283,0.0004479279,0.008796213],"category_scores_gemma":[0.001527196,0.0008465329,0.0009293971,0.0006606005,0.0005854474,0.0005179003,0.0003455435,0.0006544673,0.002141965],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002020557,"about_ca_system_score_gemma":0.0002813482,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008422293,"about_ca_topic_score_gemma":0.00001202567,"domain_scores_codex":[0.9926978,0.0004289172,0.003119598,0.0009290628,0.001912183,0.0009124244],"domain_scores_gemma":[0.9944691,0.00102653,0.001752642,0.001561135,0.0007283969,0.0004621696],"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":[0.0002347587,0.003664622,0.00006868022,0.00319693,0.0008171533,0.0001012902,0.01110007,0.000086295,0.003562313,0.9169439,0.05890042,0.001323532],"study_design_scores_gemma":[0.004209568,0.0003570366,0.0001089606,0.001562175,0.0006317316,0.0002969468,0.0005359903,0.1242133,0.02498237,0.8385395,0.003140104,0.00142236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.8828546,0.005028665,0.04173965,0.004458718,0.002108654,0.004756828,0.0006246797,0.0007759695,0.05765228],"genre_scores_gemma":[0.388631,0.00058106,0.5860325,0.001001163,0.0008126432,0.0004180124,0.000541341,0.0005133238,0.02146889],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5442929,"threshold_uncertainty_score":0.9993985,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2089932167","doi":"10.1007/s00605-011-0284-6","title":"New examples of Beauville surfaces","year":2011,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Quotient; Mathematics; Pure mathematics; Order (exchange)","retraction":null,"screen_n_in":null,"score":{"opus":0.1267731573298552,"gpt":0.3289047701337934,"spread":0.2021316128039383,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002567345,0.0008680422,0.001642018,0.0005602179,0.000210324,0.0001007295,0.001875555,0.0005606229,0.02145437],"category_scores_gemma":[0.001550928,0.0008040731,0.0005670338,0.0008585202,0.0005157774,0.0003929293,0.0008658645,0.0007598248,0.00426419],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001262709,"about_ca_system_score_gemma":0.0003979291,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006048733,"about_ca_topic_score_gemma":0.00005622167,"domain_scores_codex":[0.993803,0.0005082291,0.001950488,0.0008974206,0.001554599,0.001286323],"domain_scores_gemma":[0.9935293,0.002114848,0.001084893,0.002274739,0.0004260091,0.0005701811],"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":[0.0006538201,0.002756509,0.001626423,0.007109017,0.001898019,0.0001714317,0.06323079,0.00001320073,0.005736859,0.8435137,0.0623289,0.01096134],"study_design_scores_gemma":[0.001850677,0.0007626084,0.001340776,0.001286269,0.000614662,0.00003515074,0.003477297,0.00114229,0.04399735,0.9290669,0.01514052,0.001285523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6411941,0.03011431,0.02872315,0.0004625983,0.0025375,0.004700017,0.0006949991,0.0008911241,0.2906822],"genre_scores_gemma":[0.6645231,0.001652118,0.2886313,0.00008991313,0.0007537224,0.0001053283,0.00006530172,0.0006971976,0.04348201],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2599082,"threshold_uncertainty_score":0.999441,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2042495122","doi":"10.1007/s00605-015-0748-1","title":"The Nagell–Ljunggren equation via Runge’s method","year":2015,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Diophantine equation; Multiplicity (mathematics); Mathematics; Prime (order theory); Discrete mathematics; Combinatorics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.06000303979553565,"gpt":0.3358601174240439,"spread":0.2758570776285082,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.01088644,0.0009675492,0.001117253,0.0002075988,0.0009268848,0.0005052192,0.001666799,0.0006290733,0.0007641835],"category_scores_gemma":[0.004114275,0.0007202929,0.0005488473,0.0009100116,0.0003632042,0.0004882257,0.0007435714,0.001032634,0.009988549],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003973916,"about_ca_system_score_gemma":0.0002991032,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006044914,"about_ca_topic_score_gemma":0.00001688764,"domain_scores_codex":[0.9926215,0.001543838,0.001769741,0.0009393534,0.001810562,0.001315036],"domain_scores_gemma":[0.9885818,0.006680915,0.001251334,0.002258439,0.0005887942,0.0006387232],"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":[0.000483498,0.001184073,0.0001690299,0.001026908,0.001839321,0.0001182939,0.02304993,0.0001290559,0.0003121241,0.7642039,0.1342156,0.07326825],"study_design_scores_gemma":[0.001304353,0.0002002486,0.0000463686,0.0003047306,0.0007216978,0.00007807343,0.002862274,0.01395667,0.001730281,0.8876687,0.09027175,0.0008548489],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01779993,0.04325813,0.8528457,0.008803819,0.008988055,0.003916361,0.00014034,0.001071862,0.06317581],"genre_scores_gemma":[0.4262171,0.002913044,0.3765245,0.003276057,0.01116062,0.001044258,0.0004488724,0.001693911,0.1767217],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4763212,"threshold_uncertainty_score":0.9995248,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2024208102","doi":"10.1007/s00605-014-0715-2","title":"On $$q$$ q -analogues of two-one formulas for multiple harmonic sums and multiple zeta star values","year":2014,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Harmonic number; Star (game theory); Congruence relation; Binomial (polynomial); Binomial coefficient; Harmonic; Set (abstract data type); Pure mathematics; Combinatorics; Riemann zeta function; Mathematical analysis; Physics; Statistics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.05092180564284549,"gpt":0.3218114843762794,"spread":0.2708896787334339,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002148236,0.001175263,0.002625674,0.0004953789,0.0004500246,0.0002229172,0.0008910404,0.0004462634,0.0002162067],"category_scores_gemma":[0.01138153,0.001097948,0.0007450498,0.000313296,0.0007383414,0.0005838951,0.0005412044,0.0005666713,0.0003073235],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000189124,"about_ca_system_score_gemma":0.0000757204,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005047227,"about_ca_topic_score_gemma":0.00007033491,"domain_scores_codex":[0.9935015,0.0002973444,0.002443735,0.001187744,0.001267204,0.001302478],"domain_scores_gemma":[0.9804342,0.01517377,0.001619028,0.001785583,0.0005718811,0.000415581],"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":[0.0006690444,0.003974239,0.000229175,0.02409404,0.002025374,0.00001145894,0.008865153,0.0004523122,0.0118805,0.9396315,0.005992259,0.002174967],"study_design_scores_gemma":[0.004512358,0.0008153898,0.00006014011,0.001763181,0.001085721,0.000008278133,0.000693646,0.1107077,0.0338558,0.8446771,0.0008575901,0.0009631107],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7767174,0.005600644,0.2045526,0.0006378491,0.0009971964,0.006655059,0.001409229,0.0006293483,0.002800637],"genre_scores_gemma":[0.8310515,0.0004655036,0.1627084,0.0001122236,0.0004226241,0.0002946071,0.0001257759,0.0004041407,0.004415137],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1102554,"threshold_uncertainty_score":0.9991471,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2023206789","doi":"10.1007/s00605-002-0547-3","title":"The Index of a Cyclic Quartic Field","year":2003,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University; Okanagan University College; Okanagan College","funders":"","keywords":"Quartic function; Discriminant; Mathematics; Field (mathematics); Index (typography); Quartic surface; Combinatorics; Mathematical physics; Pure mathematics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.03042238902906416,"gpt":0.3387382186786332,"spread":0.3083158296495691,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.004255613,0.0005839,0.001014692,0.0002178193,0.0005198183,0.0001950461,0.001270742,0.0003936494,0.002367789],"category_scores_gemma":[0.007335838,0.000420006,0.0005653157,0.0008213363,0.0005899814,0.0001562868,0.0002758296,0.0009329609,0.001900607],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001455732,"about_ca_system_score_gemma":0.000300433,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004157094,"about_ca_topic_score_gemma":0.00003307094,"domain_scores_codex":[0.994111,0.0009387122,0.001700383,0.0004995279,0.00154284,0.001207531],"domain_scores_gemma":[0.9879561,0.00831429,0.0008235058,0.002236946,0.0003652016,0.0003039485],"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":[0.0001565373,0.0009188736,0.0008246566,0.001411799,0.001045908,0.00004482092,0.005537231,0.00001407231,0.0004419522,0.9506305,0.03311151,0.005862079],"study_design_scores_gemma":[0.001037277,0.0002777313,0.00009444475,0.0003702159,0.0003952988,0.00004016722,0.003968324,0.002442993,0.008431219,0.9470848,0.03532631,0.0005312054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5243585,0.04245352,0.06943219,0.0121755,0.003761777,0.007172064,0.0001172483,0.0005862545,0.3399429],"genre_scores_gemma":[0.9732751,0.000592935,0.00135131,0.0001876559,0.0001774351,0.0001158529,0.00000267367,0.000160631,0.02413641],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4489166,"threshold_uncertainty_score":0.9998252,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2021707702","doi":"10.1007/s00605-011-0305-5","title":"Free lattice-ordered groups and the space of left orderings","year":2011,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"semigroups and automata theory","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Uncountable set; Mathematics; Combinatorics; Cantor set; Free group; Group (periodic table); Lattice (music); Space (punctuation); Discrete mathematics; Countable set; Physics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.01847018845533377,"gpt":0.2240407659157018,"spread":0.2055705774603681,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001826091,0.0005132896,0.0008526149,0.0001628477,0.0002790337,0.0002113024,0.002500271,0.0002098632,0.000485909],"category_scores_gemma":[0.0004013596,0.0003589082,0.0002473035,0.0003828367,0.001019947,0.0005316647,0.001858221,0.0004005256,0.0001530523],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002638083,"about_ca_system_score_gemma":0.00006843649,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002888667,"about_ca_topic_score_gemma":0.00002420334,"domain_scores_codex":[0.9968989,0.0002847615,0.0008478183,0.0007177527,0.0006195348,0.000631169],"domain_scores_gemma":[0.9959459,0.0008103558,0.0006900177,0.002222268,0.0001596427,0.0001718107],"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":[0.0001227791,0.0002947617,0.0002106772,0.0005675976,0.0002700427,0.00003468942,0.04751529,0.000002877727,0.00033894,0.9414433,0.002603074,0.006595954],"study_design_scores_gemma":[0.004147541,0.0002427529,0.002889571,0.0005853252,0.0003182767,0.0001345254,0.001938375,0.05734813,0.004714796,0.9217412,0.005081543,0.0008578984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.674719,0.05509432,0.1971084,0.01017127,0.005006772,0.003400849,0.0001900405,0.0009912972,0.05331802],"genre_scores_gemma":[0.9506664,0.001196559,0.04550124,0.0004967116,0.000223888,0.00003652119,0.000003839536,0.00009601628,0.001778842],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2759474,"threshold_uncertainty_score":0.9998863,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2054663930","doi":"10.1007/s00605-004-0296-6","title":"Finding the Best Face on a Voronoi Polyhedron – The Strong Dodecahedral Conjecture Revisited","year":2005,"lang":"en","type":"article","venue":"Monatshefte für Mathematik","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Dodecahedron; Unit sphere; Voronoi diagram; Combinatorics; Mathematics; Conjecture; Unit (ring theory); Surface (topology); Euclidean space; Euclidean geometry; Ball (mathematics); Polyhedron; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.02497617386461159,"gpt":0.2932476065111663,"spread":0.2682714326465547,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006233557,0.0002365992,0.0001863801,0.0001037293,0.0005697324,0.0003674073,0.001079861,0.00007383918,0.00006722667],"category_scores_gemma":[0.00008909318,0.0001343493,0.0001240928,0.0005042657,0.00005511377,0.0003720284,0.0002148809,0.0003054429,0.0003456762],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008991401,"about_ca_system_score_gemma":0.00005394386,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007446687,"about_ca_topic_score_gemma":0.00001040597,"domain_scores_codex":[0.998261,0.0001418538,0.0003282884,0.0003973461,0.0005419729,0.0003295552],"domain_scores_gemma":[0.9984918,0.0004573711,0.0001885431,0.0007337487,0.00006269482,0.00006582984],"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":[0.00001290151,0.0001435215,0.00002386717,0.00002532912,0.00005129608,0.000005688279,0.00371005,0.05788807,0.0006338617,0.8276309,0.006113426,0.1037611],"study_design_scores_gemma":[0.0009306089,0.0003084603,0.001826276,0.0001883479,0.00005483604,0.0001614331,0.0006432986,0.8742879,0.006984832,0.03693065,0.07693979,0.0007435344],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09368161,0.0009022044,0.8686425,0.0278848,0.000364306,0.0007570715,0.0000121612,0.0002097655,0.007545592],"genre_scores_gemma":[0.9837056,0.00001548021,0.01140532,0.001392106,0.0003343519,0.00004363243,0.0000115772,0.00001623879,0.003075658],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.890024,"threshold_uncertainty_score":0.5478604,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2129710306","doi":"10.1007/s00605-014-0628-0","title":"Hyperreflexivity of bounded $$N$$ N -cocycle spaces of banach algebras","year":2014,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Bounded function; Linear subspace; Banach space; Mathematics; Pure mathematics; Space (punctuation); Banach algebra; Discrete mathematics; Mathematical analysis; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.03269737579367515,"gpt":0.3299043022936063,"spread":0.2972069264999311,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001889709,0.0008829794,0.002295139,0.0004034065,0.0001982739,0.00007626432,0.001324891,0.000585313,0.001001605],"category_scores_gemma":[0.002876794,0.0008630305,0.0006479437,0.0006561083,0.0009083378,0.0003740768,0.0006302571,0.0007062681,0.0003941462],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001734596,"about_ca_system_score_gemma":0.0001573327,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007401098,"about_ca_topic_score_gemma":0.00003881301,"domain_scores_codex":[0.9939565,0.0004405327,0.002322142,0.0008987513,0.001451296,0.0009307903],"domain_scores_gemma":[0.991892,0.002347669,0.002445147,0.002542382,0.0004907973,0.000281983],"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":[0.00009685357,0.001537647,0.0006445698,0.005803903,0.000588391,0.000009714166,0.00331182,0.00003934125,0.006666374,0.9741769,0.001527104,0.005597409],"study_design_scores_gemma":[0.001303728,0.0003268822,0.0004476982,0.0009874009,0.0005214702,0.0000138126,0.0004455038,0.00296197,0.06854004,0.9154966,0.00819498,0.0007598812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9002413,0.004708184,0.05372452,0.0007719063,0.001761886,0.001580262,0.0001900841,0.0003025978,0.03671929],"genre_scores_gemma":[0.8716142,0.0002565392,0.1247357,0.00008801517,0.0004396112,0.00004735436,0.00002321503,0.0002302454,0.002565073],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0710112,"threshold_uncertainty_score":0.9999116,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2090332829","doi":"10.1007/s00605-005-0365-5","title":"Analytic Multifunctions, Holomorphic Motions and Hausdorff Dimension in IFSs","year":2006,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University; Université Laval","funders":"","keywords":"Holomorphic function; Hausdorff dimension; Mathematics; Pure mathematics; Conformal map; Dimension (graph theory); Limit set; Motion (physics); Hausdorff space; Iterated function; Dimension function; Iterated function system; Function (biology); Limit (mathematics); Mathematical analysis; Fractal; Physics; Classical mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.01894479226056713,"gpt":0.2779964137037425,"spread":0.2590516214431753,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001489973,0.0008882127,0.001500985,0.0007399798,0.0003814028,0.0003145425,0.0003908813,0.0006042127,0.0009177938],"category_scores_gemma":[0.0008360351,0.0008279584,0.0003524155,0.0008809135,0.0003813845,0.0003481229,0.0003716208,0.0008550352,0.0009443767],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000257573,"about_ca_system_score_gemma":0.00007849898,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002971423,"about_ca_topic_score_gemma":0.0002270826,"domain_scores_codex":[0.9947077,0.0002591119,0.002111379,0.001054213,0.0008385115,0.001029076],"domain_scores_gemma":[0.9962976,0.001248569,0.0007352427,0.001212155,0.000207485,0.0002989429],"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":[0.00009828953,0.008759387,0.003804488,0.006424177,0.0005952422,0.0005864162,0.003280366,0.0009315315,0.003973847,0.9514436,0.01671332,0.003389373],"study_design_scores_gemma":[0.002097877,0.000144768,0.008206663,0.001374181,0.0005217572,0.00009213405,0.0005457351,0.3315024,0.0001612633,0.6523752,0.001839545,0.001138486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.943881,0.007416212,0.03010415,0.002614017,0.0009689731,0.00285897,0.000342997,0.0004030423,0.01141064],"genre_scores_gemma":[0.974359,0.0005798413,0.01577786,0.0001340028,0.0003056948,0.0001644162,0.0001500002,0.0002145316,0.008314622],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3305709,"threshold_uncertainty_score":0.9999955,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2147362162","doi":"10.1007/s00605-008-0021-y","title":"A bound from below for the temperature in compressible Navier–Stokes equations","year":2008,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Compressibility; Entropy (arrow of time); Viscosity; Mathematics; Navier–Stokes equations; Series (stratigraphy); Compressible flow; Upper and lower bounds; Mathematical analysis; Physics; Thermodynamics; Geology","retraction":null,"screen_n_in":null,"score":{"opus":0.0837267542196171,"gpt":0.3406886940857874,"spread":0.2569619398661703,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001285598,0.0008924702,0.001271141,0.0004148096,0.002067174,0.0003543924,0.001348943,0.0006641828,0.0009221977],"category_scores_gemma":[0.002404742,0.0007344846,0.0006620534,0.00121703,0.0006146749,0.000606042,0.0003148853,0.001201669,0.00117157],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000483129,"about_ca_system_score_gemma":0.0005799973,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003270069,"about_ca_topic_score_gemma":0.0004447019,"domain_scores_codex":[0.994226,0.0003937833,0.002052145,0.0009793539,0.001224485,0.001124253],"domain_scores_gemma":[0.9865147,0.009706157,0.000956241,0.002034071,0.0005328179,0.0002559831],"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":[0.0005516025,0.008665191,0.002055929,0.003537619,0.00369108,0.0002513281,0.1231826,0.007411131,0.008431069,0.4881276,0.3493769,0.004717927],"study_design_scores_gemma":[0.009067416,0.000302849,0.00277012,0.002797636,0.00218951,0.00008477364,0.005203967,0.2612975,0.002545674,0.5430631,0.167664,0.003013516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3778896,0.2189457,0.305883,0.02746824,0.01155604,0.02904248,0.01332146,0.00173614,0.01415723],"genre_scores_gemma":[0.8873469,0.003888134,0.07430488,0.001300385,0.002687677,0.004816419,0.001285159,0.000601184,0.02376928],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5094573,"threshold_uncertainty_score":0.9999911,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1989637271","doi":"10.1007/s00605-002-0493-0","title":"� propos de l'indice de composition des nombres","year":2003,"lang":"fr","type":"article","venue":"Monatshefte für Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Combinatorics; Integer (computer science); Conjecture; Product (mathematics); Composition (language); Function (biology); Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.04300563041161178,"gpt":0.3489084846580953,"spread":0.3059028542464836,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.004185427,0.0006192393,0.0007939756,0.0002795438,0.0005803408,0.000289207,0.0007119325,0.0004971959,0.00711492],"category_scores_gemma":[0.001569189,0.0006365351,0.0003781444,0.0006118539,0.001019619,0.0004310975,0.0001814425,0.0008858119,0.002899585],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001398271,"about_ca_system_score_gemma":0.0006377709,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001437807,"about_ca_topic_score_gemma":0.00003580552,"domain_scores_codex":[0.9944422,0.001410322,0.0009246125,0.0005375252,0.0008909673,0.001794381],"domain_scores_gemma":[0.9961708,0.001500534,0.0003960644,0.0009886764,0.0003314062,0.0006125043],"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":[0.00008152398,0.002104527,0.001176472,0.004684081,0.0004668513,0.0003249308,0.01411842,0.00009682792,0.005658364,0.9432795,0.0222348,0.005773693],"study_design_scores_gemma":[0.001016489,0.0001770681,0.0003129082,0.001009545,0.0003843036,0.001495022,0.002368589,0.004679445,0.02364682,0.9525298,0.01169329,0.0006866527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6139559,0.006408951,0.1928153,0.00363285,0.0004727984,0.001954841,0.00009968134,0.000412407,0.1802472],"genre_scores_gemma":[0.6852663,0.0004797399,0.1818723,0.0005079309,0.0003513966,0.0002488223,0.0000213102,0.0003697738,0.1308824],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07131032,"threshold_uncertainty_score":0.9996086,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1993435502","doi":"10.1007/s00605-004-0288-6","title":"On the Mean Value of the Index of Composition of an Integer","year":2005,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Lambda; Integer (computer science); Combinatorics; Composition (language); Mathematics; Value (mathematics); Physics; Statistics; Computer science; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.02600373576999143,"gpt":0.3312251067373609,"spread":0.3052213709673695,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001481078,0.0003839954,0.0007804043,0.0002443996,0.0001649533,0.00002847026,0.001275307,0.0002362643,0.0009442633],"category_scores_gemma":[0.0008354835,0.0002356068,0.000348581,0.0007332213,0.0006869216,0.0002334772,0.0003648401,0.0006332592,0.00006135354],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001525722,"about_ca_system_score_gemma":0.0001361856,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002059197,"about_ca_topic_score_gemma":0.00001071428,"domain_scores_codex":[0.9954908,0.0006289367,0.001487821,0.0003616804,0.001644687,0.0003860142],"domain_scores_gemma":[0.9941015,0.001825725,0.001503999,0.001757664,0.000711387,0.00009978279],"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":[0.0003688675,0.005063476,0.00006782128,0.002142991,0.0006546808,0.000003419082,0.01962657,0.1270668,0.008654339,0.8264125,0.001692106,0.008246454],"study_design_scores_gemma":[0.001153248,0.0003528381,0.0002125196,0.001434233,0.0001988935,0.000009627292,0.001567351,0.6402117,0.1497507,0.2044784,0.0002838067,0.000346645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7210954,0.001316737,0.2512108,0.005981999,0.000661827,0.005463903,0.0006065266,0.0001325098,0.01353026],"genre_scores_gemma":[0.9537004,0.00009263927,0.04497179,0.0001353163,0.0001178693,0.00004238063,0.00001498294,0.0001055118,0.0008191246],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6219341,"threshold_uncertainty_score":0.999969,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2040085838","doi":"10.1007/s00605-012-0467-9","title":"On the subalgebra of a Fourier–Stieltjes algebra generated by pure positive definite functions","year":2013,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Subalgebra; Positive-definite matrix; Subspace topology; Mathematics; Pure mathematics; Algebra over a field; Fourier transform; Group (periodic table); Mathematical analysis; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.0222757664459446,"gpt":0.2819105815016594,"spread":0.2596348150557148,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001298877,0.0012147,0.001443202,0.0004355554,0.0009021509,0.0004883918,0.001488881,0.0006586858,0.01150645],"category_scores_gemma":[0.00338112,0.0008715095,0.0006012355,0.001559586,0.0008540233,0.0006072227,0.0005799284,0.001717032,0.009049319],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003359072,"about_ca_system_score_gemma":0.0003277049,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001516744,"about_ca_topic_score_gemma":0.0000257809,"domain_scores_codex":[0.9924244,0.0009418876,0.001844773,0.001160103,0.00209734,0.001531505],"domain_scores_gemma":[0.988878,0.005841472,0.001000476,0.00238542,0.001389314,0.000505365],"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":[0.0001862442,0.002274157,0.00009391009,0.000847118,0.001724773,0.00004300641,0.003986775,0.0001130148,0.01542029,0.5914797,0.3804998,0.003331297],"study_design_scores_gemma":[0.00242934,0.001571293,0.0002195293,0.001470261,0.0008693246,0.00005355355,0.003891625,0.01833947,0.05025351,0.9147052,0.004109851,0.002087045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9406374,0.008216018,0.01822129,0.009954759,0.001028928,0.007433215,0.0022152,0.0004524837,0.01184078],"genre_scores_gemma":[0.9612235,0.0007220103,0.01080552,0.001640866,0.0005423944,0.002037247,0.0004457196,0.0007028418,0.02187983],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3763899,"threshold_uncertainty_score":0.9993736,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1997721056","doi":"10.1007/s00605-007-0468-2","title":"The shrinking principle and the axiom of choice","year":2007,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Axiom of choice; Constructive set theory; Zermelo–Fraenkel set theory; Mathematics; Urelement; Axiom; Equivalence (formal languages); Constructive; Simple (philosophy); Constructive proof; Set theory; Discrete mathematics; Set (abstract data type); Mathematical economics; Calculus (dental); Pure mathematics; Computer science; Geometry; Process (computing); Epistemology","retraction":null,"screen_n_in":null,"score":{"opus":0.01392193577171523,"gpt":0.2920472983596333,"spread":0.2781253625879181,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003345264,0.0003178876,0.0004437038,0.00007663445,0.000809821,0.00025352,0.001583067,0.0001169356,0.00001926193],"category_scores_gemma":[0.0005753803,0.0001671637,0.0001728755,0.000507261,0.0008838181,0.0002808628,0.0009710831,0.0004112029,0.0000656569],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003973131,"about_ca_system_score_gemma":0.00005331644,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002701929,"about_ca_topic_score_gemma":0.00003843989,"domain_scores_codex":[0.9972544,0.0001556214,0.0008086677,0.0004750991,0.0006471131,0.0006590514],"domain_scores_gemma":[0.9942489,0.003711842,0.0006169124,0.001165829,0.0001394292,0.0001171194],"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":[0.00005570914,0.00006916728,0.0002963239,0.0001168742,0.00008769546,0.00001459795,0.004469637,0.00005365856,0.0001500636,0.9380952,0.0001166243,0.05647451],"study_design_scores_gemma":[0.003275211,0.0001994227,0.01472699,0.0004206324,0.0001668921,0.00008854288,0.0008382912,0.05137483,0.00387244,0.7738562,0.1503939,0.0007865987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2186096,0.06458049,0.6887264,0.006397627,0.002654925,0.001993476,0.00000941984,0.0002456826,0.01678242],"genre_scores_gemma":[0.9864718,0.001006287,0.009994208,0.0004098939,0.0003870842,0.00002442113,0.000001130489,0.00003411398,0.001671028],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7678623,"threshold_uncertainty_score":0.6816739,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2084490585","doi":"10.1007/s605-002-8266-y","title":"Cubic Fields with Index 2","year":2002,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University; Okanagan University College; Okanagan College","funders":"","keywords":"Index (typography); Square-free integer; Integer (computer science); Field (mathematics); Mathematics; Combinatorics; Pure mathematics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.02639325319210719,"gpt":0.2799028713965745,"spread":0.2535096182044674,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004963173,0.0007977865,0.00106635,0.0002526609,0.0004398447,0.00009041602,0.0007360878,0.0007568398,0.01390845],"category_scores_gemma":[0.0003585831,0.0006569915,0.0002757625,0.0004338815,0.0005867358,0.0003368484,0.0002206593,0.001176888,0.005612656],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001110536,"about_ca_system_score_gemma":0.00003918498,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007713176,"about_ca_topic_score_gemma":0.00002275985,"domain_scores_codex":[0.996388,0.0002343576,0.0009102454,0.0007929481,0.0006366185,0.001037821],"domain_scores_gemma":[0.9964414,0.001077786,0.0005667612,0.001470038,0.0001531257,0.0002908937],"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":[0.0004397317,0.003357373,0.0007539972,0.002667401,0.001891731,0.001346616,0.0229121,0.0005746804,0.00009350967,0.8604888,0.08508657,0.02038746],"study_design_scores_gemma":[0.002536799,0.0006181225,0.00008544225,0.0007414907,0.0005688624,0.0002829249,0.001337212,0.0157249,0.0008404843,0.9239816,0.05175199,0.001530152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1771541,0.04559477,0.3911139,0.009968884,0.004310117,0.004559832,0.0002384336,0.002093043,0.3649669],"genre_scores_gemma":[0.923788,0.0009764547,0.01331589,0.0009531943,0.0007056543,0.0001316113,0.00001744332,0.0002369724,0.05987477],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7466339,"threshold_uncertainty_score":0.9995881,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2043429776","doi":"10.1007/s006050200024","title":"Functional Characterizations of Basic Properties of Utility Representations","year":2002,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Control Systems Optimization","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Separable space; Commutative property; Mathematics; Event (particle physics); Homogeneity (statistics); Multiplicative function; Uniqueness; Associative property; Expected utility hypothesis; Additive function; Pure mathematics; Mathematical economics; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.03677058251227493,"gpt":0.2291986358341043,"spread":0.1924280533218293,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002023196,0.0003045591,0.0006237381,0.0002455808,0.0001048888,0.00002640446,0.0002164391,0.0001635176,0.001499984],"category_scores_gemma":[0.0003302419,0.000312143,0.0001989134,0.0005240453,0.0001494088,0.0004567251,0.00006378019,0.0001817933,0.0001803593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007382463,"about_ca_system_score_gemma":0.00002693785,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002306388,"about_ca_topic_score_gemma":0.00000315149,"domain_scores_codex":[0.9975381,0.0000948935,0.001278578,0.0003322444,0.000473134,0.0002830714],"domain_scores_gemma":[0.9981171,0.0001174774,0.0005666499,0.0007099006,0.0004073727,0.00008153268],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001562224,0.002339708,0.003014166,0.01075914,0.002161267,0.000009507795,0.01509754,0.5526897,0.36909,0.02639446,0.006058715,0.01222957],"study_design_scores_gemma":[0.001081472,0.0000578874,0.004624033,0.0008085013,0.000296795,0.000007688583,0.0003797991,0.962818,0.02681967,0.001269128,0.001380605,0.0004564446],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1906788,0.02880045,0.7472749,0.001088578,0.003598342,0.004134092,0.001014853,0.000782934,0.02262703],"genre_scores_gemma":[0.9939541,0.0003742269,0.002989798,0.00001015059,0.000200715,0.0001248705,0.00006706176,0.00007447925,0.002204621],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8032753,"threshold_uncertainty_score":0.9999331,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2143653091","doi":"10.1007/s00605-014-0646-y","title":"On cycles for the doubling map which are disjoint from an interval","year":2014,"lang":"en","type":"article","venue":"Monatshefte für Mathematik","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Disjoint sets; Interval (graph theory); Integer (computer science); Set (abstract data type); Constant (computer programming)","retraction":null,"screen_n_in":null,"score":{"opus":0.04301246350305047,"gpt":0.3363109990841602,"spread":0.2932985355811097,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001073314,0.0003763361,0.0005089276,0.00009651898,0.0005951407,0.000173983,0.0008372858,0.0001706823,0.0002450125],"category_scores_gemma":[0.001147133,0.000225196,0.0002641417,0.000114987,0.0001076203,0.0001646175,0.0002125886,0.0003310474,0.00003231945],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003971473,"about_ca_system_score_gemma":0.0000118286,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002038276,"about_ca_topic_score_gemma":0.00007926133,"domain_scores_codex":[0.9979842,0.0001500326,0.0005459989,0.0004878972,0.0004200009,0.0004118558],"domain_scores_gemma":[0.9944531,0.003690061,0.0003716827,0.001224361,0.0001448681,0.0001159248],"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":[0.0001328859,0.0001702458,0.0000746529,0.0001930997,0.0001356763,0.000001361524,0.003560171,0.0000893078,0.0000942219,0.9850954,0.005585812,0.004867198],"study_design_scores_gemma":[0.0006146869,0.0001290591,0.000671544,0.0002152636,0.00009053948,0.000003748775,0.0008556155,0.01526987,0.0009196093,0.9775633,0.003346677,0.0003201249],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8676347,0.0002428009,0.1201826,0.002866349,0.001663631,0.001386854,0.0001979557,0.0004739155,0.005351191],"genre_scores_gemma":[0.9816917,0.000007252242,0.01640881,0.0006095932,0.0005739975,0.0001591747,0.00002233838,0.0001068946,0.0004202958],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.114057,"threshold_uncertainty_score":0.9183226,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1996206649","doi":"10.1007/s00605-008-0029-3","title":"Smoothness of convolution powers of orbital measures on the symmetric space SU(n)/SO(n)","year":2008,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Measure (data warehouse); Coset; Haar measure; Combinatorics; Centralizer and normalizer; Smoothness; Mathematical analysis; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.04024182918570551,"gpt":0.2636234451080333,"spread":0.2233816159223278,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002524903,0.0006615226,0.001456639,0.001267426,0.0004227914,0.00004133222,0.0008166151,0.0004172504,0.001507997],"category_scores_gemma":[0.005942331,0.000473276,0.0007653984,0.003325798,0.00137064,0.0001589699,0.000198731,0.0006120302,0.0007210196],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002196363,"about_ca_system_score_gemma":0.0003147159,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001228633,"about_ca_topic_score_gemma":0.000001819402,"domain_scores_codex":[0.9946207,0.0004309186,0.001764699,0.0005828916,0.001958582,0.000642149],"domain_scores_gemma":[0.9911776,0.004429969,0.001942911,0.001446033,0.0008173852,0.0001861622],"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":[0.0005630924,0.002567837,0.0009619244,0.001878524,0.001753312,0.00006798818,0.0070149,0.0002497901,0.0004576585,0.9421422,0.04098732,0.001355396],"study_design_scores_gemma":[0.01047923,0.005583723,0.008243768,0.005101725,0.006513375,0.0005621614,0.03244965,0.02165792,0.06625976,0.7905514,0.04753825,0.005059053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8895677,0.01977208,0.03344159,0.001836345,0.002249343,0.002190715,0.0002863203,0.0002157477,0.05044011],"genre_scores_gemma":[0.9879383,0.0007682447,0.0007934456,0.0000948054,0.0001934949,0.00002974497,0.0000135817,0.0001079069,0.01006042],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1515909,"threshold_uncertainty_score":0.9997719,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4323668594","doi":"10.1007/s00605-023-01834-1","title":"Solvability in the sense of sequences for some non-Fredholm operators with the logarithmic Laplacian","year":2023,"lang":"en","type":"article","venue":"Monatshefte für Mathematik","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Fredholm determinant; Laplace operator; Mathematics; Logarithm; Fredholm theory; Fredholm integral equation; Scalar (mathematics); Spectral theory; Real line; Pure mathematics; Operator (biology); Convergence (economics); Mathematical analysis; Logarithmic derivative; Range (aeronautics); Integral equation; Hilbert space","retraction":null,"screen_n_in":null,"score":{"opus":0.04347480795994789,"gpt":0.3424993072162136,"spread":0.2990244992562657,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003602337,0.0003868075,0.0006818256,0.0001340252,0.000231185,0.00008301159,0.0009425873,0.0001131036,0.00004655624],"category_scores_gemma":[0.0009185928,0.0001946614,0.0002348107,0.0009382478,0.0005696045,0.0002400139,0.0001262529,0.0003860834,0.00006795793],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007467279,"about_ca_system_score_gemma":0.00008446934,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002288051,"about_ca_topic_score_gemma":0.0000720253,"domain_scores_codex":[0.9972597,0.0002640307,0.0007324894,0.0004272379,0.0007195194,0.0005970491],"domain_scores_gemma":[0.9936022,0.004686827,0.0003323787,0.001202651,0.0001152932,0.00006065354],"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":[0.00009680459,0.0004645013,0.0001176818,0.001252428,0.0001117564,0.00003674155,0.0142458,0.000179942,0.002147089,0.976908,0.00413099,0.0003082198],"study_design_scores_gemma":[0.0005764594,0.0001823289,0.0003637375,0.0001710653,0.00007446297,0.00002842168,0.005571173,0.003717034,0.005041019,0.9838591,0.0001385534,0.0002766354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9893539,0.0000271171,0.002049608,0.002583056,0.00007976522,0.002551678,0.00006651998,0.0001709689,0.003117377],"genre_scores_gemma":[0.9924137,0.000008693546,0.006172758,0.0002647732,0.0001082106,0.0006288498,0.00000880309,0.00007759858,0.0003165963],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008674625,"threshold_uncertainty_score":0.793806,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2065148186","doi":"10.1007/s00605-013-0523-0","title":"Note on prehomogeneous vector spaces","year":2013,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Saint Mary's University","funders":"","keywords":"Flag (linear algebra); Partially ordered set; Mathematics; Vector space; Algebraic group; Orbit (dynamics); Algebraic number; Combinatorics; Space (punctuation); Pure mathematics; Algebra over a field; Mathematical analysis; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.02471211194506894,"gpt":0.3034236319141554,"spread":0.2787115199690865,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004855829,0.001235953,0.001368202,0.0003454041,0.0004166131,0.0005188641,0.001306422,0.0006901547,0.007835262],"category_scores_gemma":[0.001945855,0.001134266,0.000527695,0.0004816295,0.0003316785,0.0004587938,0.0005346187,0.00115025,0.04028221],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004576399,"about_ca_system_score_gemma":0.0001297174,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003312324,"about_ca_topic_score_gemma":0.00001099494,"domain_scores_codex":[0.9941366,0.0002406679,0.001469721,0.001272571,0.001430199,0.001450182],"domain_scores_gemma":[0.9934371,0.00210659,0.0009883322,0.002563459,0.000395791,0.0005086953],"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":[0.00008697166,0.002307005,0.00006907989,0.002400829,0.0007706881,0.0002722708,0.007035533,0.0001588159,0.003819693,0.906279,0.05823856,0.01856157],"study_design_scores_gemma":[0.001038118,0.0004779548,0.0001808655,0.0009872928,0.0003080708,0.00005311873,0.0002363056,0.002939458,0.01483223,0.9202107,0.05725486,0.001481068],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7646115,0.01670502,0.04222181,0.01632684,0.01408675,0.01486635,0.0004414636,0.003433667,0.1273066],"genre_scores_gemma":[0.7442741,0.0009019002,0.1841107,0.001686352,0.004113924,0.001221716,0.00007430424,0.001058455,0.06255855],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1418889,"threshold_uncertainty_score":0.9991108,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2119589008","doi":"10.1007/s00605-006-0408-6","title":"Large Sieve Inequality with Quadratic Amplitudes","year":2006,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Sieve (category theory); Quadratic equation; Amplitude; Mathematics; Inequality; Pure mathematics; Applied mathematics; Mathematical analysis; Combinatorics; Physics; Quantum mechanics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03619256014302198,"gpt":0.3380087747463022,"spread":0.3018162146032802,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.004324825,0.001225221,0.001906314,0.0004027593,0.0005074028,0.0005928855,0.001330371,0.0005258648,0.004666514],"category_scores_gemma":[0.0008604306,0.0009883291,0.0005047012,0.001123394,0.0006170136,0.00047259,0.0006228294,0.001185548,0.005994679],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004982125,"about_ca_system_score_gemma":0.0003927958,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002608386,"about_ca_topic_score_gemma":0.000351937,"domain_scores_codex":[0.9911539,0.0008960439,0.002102404,0.001144645,0.00253487,0.002168111],"domain_scores_gemma":[0.9927331,0.002535018,0.001035099,0.002617083,0.0006286698,0.0004510589],"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":[0.0003278258,0.004477055,0.002473261,0.004624739,0.001134374,0.0003901462,0.005879407,0.00004359237,0.0003422016,0.9463966,0.03358628,0.0003245473],"study_design_scores_gemma":[0.002893566,0.0003892857,0.001257589,0.0009348468,0.0009685454,0.00008597704,0.003573806,0.003068376,0.001115152,0.9679414,0.01614385,0.001627633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5697414,0.006049126,0.3227196,0.003788828,0.0007053901,0.005224523,0.0008840466,0.001316678,0.08957045],"genre_scores_gemma":[0.9581918,0.00005787204,0.01107125,0.0002646158,0.0008968138,0.0002228161,0.0001568609,0.0003835752,0.02875441],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3884504,"threshold_uncertainty_score":0.9992567,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1977253027","doi":"10.1007/s00605-005-0321-4","title":"The Dichotomy Problem for Orbital Measures of SU(n)","year":2005,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Conjugacy class; Measure (data warehouse); Mathematics; Product (mathematics); Combinatorics; Class (philosophy); Pure mathematics; Physics; Geometry; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.03428958918029899,"gpt":0.312200215252006,"spread":0.277910626071707,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001817275,0.0006934147,0.001096441,0.0002058255,0.0006153195,0.0001897002,0.0010503,0.0003415584,0.0001998831],"category_scores_gemma":[0.001576765,0.0004887526,0.0006829796,0.000525312,0.0004216162,0.0003586493,0.0002568054,0.0004728831,0.0003898858],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001474552,"about_ca_system_score_gemma":0.0001562243,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003652693,"about_ca_topic_score_gemma":0.00002668851,"domain_scores_codex":[0.9952867,0.0001243618,0.001858305,0.0006282656,0.001042949,0.001059386],"domain_scores_gemma":[0.9934558,0.00319615,0.001257959,0.001287662,0.0005797249,0.0002227311],"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":[0.0004222745,0.001744897,0.0001277254,0.004199585,0.001456441,0.00001353768,0.006031958,0.000211095,0.001746935,0.8527762,0.04118627,0.09008305],"study_design_scores_gemma":[0.001718546,0.0002847565,0.00003983055,0.000576095,0.0005360831,0.00002604599,0.000956303,0.002268918,0.0111719,0.7788423,0.2028528,0.0007264643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4107953,0.160774,0.330574,0.01666967,0.004577359,0.02408232,0.001937447,0.001421055,0.0491688],"genre_scores_gemma":[0.82581,0.0013002,0.1479017,0.0002234984,0.002253965,0.001179035,0.0000593586,0.0004757618,0.02079647],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4150147,"threshold_uncertainty_score":0.9997564,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2080884298","doi":"10.1007/s006050070039","title":"Menger (Nöbeling) Manifolds versus Hilbert Cube (Space) Manifolds - A Categorical Comparison","year":2000,"lang":"en","type":"article","venue":"Monatshefte für Mathematik","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Homotopy; Mathematics; Categorical variable; Pure mathematics; Homotopy category; Cube (algebra); Homotopy sphere; Regular homotopy; Hilbert manifold; Homotopy group; Hilbert space; n-connected; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.0431656094517289,"gpt":0.3401609142279414,"spread":0.2969953047762125,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007560982,0.0007262038,0.001236208,0.0002187852,0.0003993794,0.00009080248,0.0009009251,0.000741549,0.01967808],"category_scores_gemma":[0.0002826345,0.0006664192,0.0003833025,0.0004071386,0.0003021735,0.0002230382,0.0001916825,0.0008140713,0.003502905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002120491,"about_ca_system_score_gemma":0.00009193536,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001111585,"about_ca_topic_score_gemma":0.0001411334,"domain_scores_codex":[0.9957014,0.0003102837,0.001215506,0.0009177856,0.000697338,0.001157673],"domain_scores_gemma":[0.9967069,0.001234017,0.0003328535,0.001287662,0.0001097613,0.0003287786],"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":[0.0005799691,0.001472726,0.0002690505,0.0002613197,0.0005481474,0.000422369,0.00532922,0.00002363256,0.0002439166,0.9221359,0.05959026,0.009123455],"study_design_scores_gemma":[0.003807663,0.0007119266,0.0002970005,0.00007430911,0.0004907234,0.0005670557,0.0008646715,0.002325243,0.001598894,0.9260062,0.06191656,0.001339754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6484839,0.001034654,0.002091041,0.003692933,0.001335515,0.001110581,0.0000247972,0.001086116,0.3411405],"genre_scores_gemma":[0.9573652,0.0001232647,0.009265724,0.0003482844,0.0004180333,0.0002093542,0.00003312719,0.0001634386,0.03207356],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3090669,"threshold_uncertainty_score":0.9995787,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2137877068","doi":"10.1007/s00605-002-0532-x","title":"Topological Model Categories Generated by Finite Complexes","year":2003,"lang":"en","type":"article","venue":"Monatshefte für Mathematik","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Homotopy; Mathematics; Homotopy category; Cofibration; n-connected; Pure mathematics; Corollary; Homotopy group; Homotopy sphere; Extension (predicate logic); Dimension (graph theory); Model category; Regular homotopy; Whitehead theorem; Algebraic number; Topology (electrical circuits); Combinatorics; Mathematical analysis; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.04978827578995765,"gpt":0.3199281823278915,"spread":0.2701399065379338,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006138852,0.0004451167,0.0007248379,0.0001053425,0.0003349363,0.00005242329,0.0004571906,0.0004399939,0.002499367],"category_scores_gemma":[0.001088521,0.0003709448,0.0001717041,0.0002415155,0.0005112606,0.0001284863,0.0001020442,0.0004331184,0.0002509601],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006155831,"about_ca_system_score_gemma":0.00008174225,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001267681,"about_ca_topic_score_gemma":0.00001814161,"domain_scores_codex":[0.9973938,0.000323032,0.000708736,0.0005526108,0.0003126535,0.0007091914],"domain_scores_gemma":[0.9979242,0.0008826588,0.0002414949,0.000666381,0.0001144906,0.0001707857],"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":[0.00001702693,0.0003468698,0.00009485415,0.0000604647,0.00007956914,0.00003462428,0.001026775,0.00008885148,0.002671248,0.9669026,0.02854513,0.0001320003],"study_design_scores_gemma":[0.0005289151,0.00009918021,0.00000763454,0.00001141901,0.00005482652,0.0001268407,0.0003275555,0.005150143,0.01522613,0.972903,0.005126605,0.0004377532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7399958,0.000965245,0.1628254,0.001661993,0.0004979612,0.0008376252,0.0001178575,0.0008991636,0.09219894],"genre_scores_gemma":[0.9495317,0.00004614955,0.03520618,0.0007506431,0.0000499887,0.0001612903,0.00003878129,0.00007028322,0.01414496],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2095359,"threshold_uncertainty_score":0.9998742,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2072876636","doi":"10.1007/s00605-010-0251-7","title":"Compact open sets in dual spaces and projections in group algebras of [FC]− groups","year":2010,"lang":"en","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Locally compact space; Dual (grammatical number); Mathematics; Group (periodic table); Projection (relational algebra); Open set; Pure mathematics; Conjugacy class; Set (abstract data type); Compact group; Construct (python library); Compact space; Locally compact group; Algebra over a field; Topology (electrical circuits); Combinatorics; Computer science; Lie group; Physics; Algorithm","retraction":null,"screen_n_in":null,"score":{"opus":0.05373379639731105,"gpt":0.3979360350275031,"spread":0.3442022386301921,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001359623,0.0003029669,0.0007104158,0.0004920583,0.00009367484,0.0001423063,0.0004736244,0.000186774,0.0002534327],"category_scores_gemma":[0.0008729544,0.0002679191,0.00006132094,0.0007225506,0.0002319424,0.0006658938,0.0004791337,0.0008083226,0.0000247439],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007491607,"about_ca_system_score_gemma":0.00008673715,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003650443,"about_ca_topic_score_gemma":0.008433002,"domain_scores_codex":[0.9976387,0.0001544009,0.0007526543,0.0004789272,0.0004696062,0.0005057265],"domain_scores_gemma":[0.9981602,0.000799593,0.0002275416,0.000588248,0.00008793685,0.0001364762],"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":[0.0002887467,0.003479273,0.05186462,0.001482031,0.0001074891,0.0002144639,0.0146615,0.00002294163,0.04504765,0.878361,0.00204185,0.002428469],"study_design_scores_gemma":[0.003560151,0.0004183676,0.06340877,0.0004788177,0.0000275461,0.0002255111,0.003402069,0.002828492,0.007372553,0.9169326,0.0005660601,0.0007790031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9925417,0.00007324968,0.0001338512,0.0003820048,0.00008525994,0.001569293,0.00003584381,0.00005623248,0.00512253],"genre_scores_gemma":[0.9782115,0.00002303877,0.02120111,0.00002178057,0.00002701441,0.0001376995,0.000009302746,0.00006789737,0.0003006243],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03857169,"threshold_uncertainty_score":0.9999773,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2022862970","doi":"10.1007/s00605-007-0505-1","title":"Extremely noncommutative elements in rings","year":2007,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"","keywords":"Centralizer and normalizer; Subring; Noncommutative geometry; Mathematics; Commutative property; Pure mathematics; Ring (chemistry); Noncommutative ring; Element (criminal law); Algebra over a field; Chemistry; Law","retraction":null,"screen_n_in":null,"score":{"opus":0.03775560450178634,"gpt":0.3200208131811158,"spread":0.2822652086793295,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.004445653,0.00107864,0.001487216,0.0008730141,0.000308061,0.0002383254,0.001180201,0.0005120853,0.001341718],"category_scores_gemma":[0.0009373043,0.001090947,0.0004467221,0.0009290747,0.0002979609,0.0005650328,0.0005726772,0.00120062,0.002958403],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006600531,"about_ca_system_score_gemma":0.00013904,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001345167,"about_ca_topic_score_gemma":0.0002947842,"domain_scores_codex":[0.9925581,0.000213705,0.002855506,0.001111854,0.001373693,0.001887124],"domain_scores_gemma":[0.9952375,0.001434447,0.001279102,0.001378268,0.0002450384,0.0004256754],"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":[0.001377218,0.01739603,0.03752768,0.01244897,0.003211253,0.004886017,0.1992222,0.00008949364,0.00917321,0.5226557,0.05289,0.1391223],"study_design_scores_gemma":[0.007678661,0.0005775442,0.01975507,0.004563013,0.0006462665,0.00009314824,0.01117837,0.004285458,0.01920516,0.8817198,0.04660356,0.003693937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9286829,0.006306136,0.01082016,0.0006022865,0.001575747,0.002177987,0.00008602821,0.0003886401,0.04936008],"genre_scores_gemma":[0.9370793,0.0005667477,0.05200945,0.0005117669,0.0008985279,0.0001121889,0.00005737225,0.0003885946,0.008376106],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3590642,"threshold_uncertainty_score":0.9995712,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3165687302","doi":"10.1007/s00605-023-01853-y","title":"Selberg’s central limit theorem for quadratic dirichlet L-functions over function fields","year":2023,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Central limit theorem; Dirichlet distribution; Distribution (mathematics); Logarithm; Combinatorics; Bounded function; Genus; Gaussian; Finite field; Limit (mathematics); Symplectic geometry; Mathematical analysis; Physics; Statistics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.04861876177854531,"gpt":0.3365041640067587,"spread":0.2878854022282134,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002815097,0.0009647495,0.001285988,0.0006933688,0.0009255868,0.0004526084,0.0009457874,0.0007761518,0.005745395],"category_scores_gemma":[0.002696134,0.0008925859,0.001042355,0.001721959,0.0003531779,0.0004541455,0.0004872261,0.001018676,0.00926163],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000437713,"about_ca_system_score_gemma":0.0003407259,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004595718,"about_ca_topic_score_gemma":0.00007916504,"domain_scores_codex":[0.9931327,0.0004754943,0.001607717,0.001063387,0.001502816,0.002217953],"domain_scores_gemma":[0.9912438,0.005255844,0.0006239967,0.001856851,0.0004485063,0.0005710365],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004950024,0.0009598219,0.0003018136,0.002993211,0.00189362,0.0000467198,0.00686492,0.0003329567,0.0002006755,0.4386899,0.5437131,0.003508206],"study_design_scores_gemma":[0.002183199,0.0005717159,0.000836843,0.0004669649,0.001785158,0.00002022913,0.004210978,0.07644231,0.0002524787,0.8285493,0.08350374,0.001177048],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3079895,0.003424658,0.5845268,0.01586162,0.01351777,0.01306935,0.002022734,0.004355863,0.05523168],"genre_scores_gemma":[0.6888638,0.0005745252,0.003054553,0.0009807834,0.003868346,0.001634542,0.0008975095,0.000811513,0.2993144],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5814723,"threshold_uncertainty_score":0.9993525,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2046903283","doi":"10.1007/s00605-007-0471-7","title":"Geometric progressions in sumsets over finite fields","year":2007,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Invertible matrix; Combinatorics; Mathematics; Finite field; Field (mathematics); Algebraic number; Matrix (chemical analysis); Physics; Discrete mathematics; Pure mathematics; Mathematical analysis; Chemistry","retraction":null,"screen_n_in":null,"score":{"opus":0.02403198078075837,"gpt":0.3295890341648973,"spread":0.3055570533841389,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003266582,0.0008678878,0.001185026,0.001900225,0.0004993773,0.0001643457,0.001049311,0.001020892,0.002556519],"category_scores_gemma":[0.002469318,0.0007352336,0.0005231347,0.002432558,0.0003179083,0.0002922649,0.0007772,0.001479036,0.0003523774],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002153275,"about_ca_system_score_gemma":0.00009436504,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003901328,"about_ca_topic_score_gemma":0.00008548908,"domain_scores_codex":[0.9941619,0.0002187827,0.001938257,0.0009054008,0.001184854,0.001590786],"domain_scores_gemma":[0.9929823,0.00413151,0.000757758,0.001559865,0.0001653057,0.0004032398],"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":[0.0007164989,0.004834206,0.02966955,0.005793795,0.001245394,0.002544121,0.03720929,0.000195218,0.0001688643,0.7859622,0.04342638,0.0882345],"study_design_scores_gemma":[0.002836331,0.0003218684,0.02291184,0.00182427,0.0003915908,0.0000549233,0.001013755,0.002406538,0.001347014,0.9332156,0.03186205,0.001814254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9144846,0.01975361,0.01517536,0.0005512474,0.00505293,0.002734228,0.0001958778,0.0004443994,0.04160779],"genre_scores_gemma":[0.9841275,0.0006517158,0.01002538,0.000425977,0.0006954662,0.00006097001,0.00003377238,0.0001835208,0.0037957],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1472534,"threshold_uncertainty_score":0.9995099,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2467810339","doi":"10.1007/s00605-013-0584-0","title":"Diophantine approximation with sign constraints","year":2013,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"","keywords":"Diophantine equation; Sign (mathematics); Diophantine approximation; Product (mathematics); Diophantine set; Dirichlet distribution","retraction":null,"screen_n_in":null,"score":{"opus":0.01734870785623796,"gpt":0.2615267761492888,"spread":0.2441780682930509,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001142372,0.001210095,0.001747383,0.0003412607,0.0003632464,0.0007682355,0.0008788191,0.0005813598,0.01405118],"category_scores_gemma":[0.0008274873,0.0009266993,0.0004055149,0.0006511416,0.0008141919,0.0007663699,0.0002977009,0.0008097988,0.0105338],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001580689,"about_ca_system_score_gemma":0.0001547289,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003623955,"about_ca_topic_score_gemma":0.000004541104,"domain_scores_codex":[0.9938401,0.0002270953,0.002005031,0.001069365,0.001485325,0.001373114],"domain_scores_gemma":[0.9944013,0.001395489,0.001336133,0.001615587,0.0006502245,0.0006013165],"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":[0.0001179937,0.00407278,0.0001205379,0.009681142,0.001673929,0.0001640789,0.004639226,0.00004324786,0.003407397,0.916292,0.02045182,0.03933591],"study_design_scores_gemma":[0.002952261,0.0007405941,0.0003705099,0.002830182,0.001022169,0.0002009794,0.001496714,0.1574761,0.001940472,0.8259688,0.002628795,0.002372451],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2446235,0.002428825,0.5702773,0.004146406,0.001257099,0.01238755,0.0004179987,0.001323196,0.1631381],"genre_scores_gemma":[0.8450947,0.0002120164,0.1420722,0.0004125613,0.0005899233,0.0008701492,0.0001550618,0.0004514236,0.01014191],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6004712,"threshold_uncertainty_score":0.9993184,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2803437899","doi":"10.1007/s00605-018-1189-4","title":"Isolating subgaps of a multiple gap","year":2018,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Secretaría de Estado de Investigación, Desarrollo e Innovación; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Secretaría de Estado de Investigacion, Desarrollo e Innovacion; Fundación Séneca","keywords":"Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.03965266686945105,"gpt":0.3250459499151171,"spread":0.2853932830456661,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001804542,0.0009494075,0.00166031,0.0004215047,0.0003889409,0.00008054601,0.001075913,0.0005096855,0.002170567],"category_scores_gemma":[0.004336068,0.0009295,0.0005445746,0.0007937875,0.001077597,0.0004475244,0.0006707056,0.0006941211,0.002683223],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002339102,"about_ca_system_score_gemma":0.0001629688,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003712399,"about_ca_topic_score_gemma":0.00007223292,"domain_scores_codex":[0.9943889,0.0003491939,0.001990393,0.0009427508,0.001062959,0.001265787],"domain_scores_gemma":[0.9921594,0.002643801,0.001983145,0.002174507,0.0007196934,0.0003194459],"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":[0.001470356,0.005724775,0.002542467,0.01593445,0.0031248,0.0002028913,0.09354083,0.0001425323,0.1252941,0.6905086,0.03796693,0.02354729],"study_design_scores_gemma":[0.00310865,0.0009467419,0.000135202,0.002966463,0.0008556207,0.00005360191,0.003967139,0.03279159,0.09346099,0.849686,0.01025795,0.001770117],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5891361,0.01073189,0.3110761,0.001064706,0.004054815,0.004780558,0.0005879203,0.001366891,0.077201],"genre_scores_gemma":[0.8267935,0.0001496278,0.1660915,0.0001335361,0.001321323,0.00007185964,0.00002174793,0.0003665783,0.005050382],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2376573,"threshold_uncertainty_score":0.9993156,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4388976593","doi":"10.1007/s00605-023-01923-1","title":"Infinite products involving the period-doubling sequence","year":2023,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"semigroups and automata theory","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Period (music); Sequence (biology); Period-doubling bifurcation; Mathematics; Chemistry; Physics; Nonlinear system; Biochemistry","retraction":null,"screen_n_in":null,"score":{"opus":0.0610721839859527,"gpt":0.2963607394206391,"spread":0.2352885554346864,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003608936,0.0006591267,0.0006176991,0.0004167077,0.001180347,0.001719381,0.003460664,0.0002196162,0.0001624743],"category_scores_gemma":[0.001075269,0.0004877749,0.0002563977,0.003593775,0.000427374,0.001157142,0.001996807,0.0008099789,0.005817547],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001301918,"about_ca_system_score_gemma":0.0003434241,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004269515,"about_ca_topic_score_gemma":0.000004426046,"domain_scores_codex":[0.9948743,0.0003605222,0.0009766546,0.001280395,0.00119182,0.001316332],"domain_scores_gemma":[0.9954688,0.0008687516,0.0005494132,0.002593274,0.0003109842,0.0002087784],"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":[0.00004763909,0.000490794,0.0004189872,0.003032378,0.0006663589,0.001320497,0.1324846,0.002346469,0.03399646,0.6674327,0.09285827,0.0649048],"study_design_scores_gemma":[0.0007722591,0.0001637347,0.001282291,0.001633005,0.000157628,0.0002184862,0.003686204,0.7154186,0.005764055,0.1499467,0.1191528,0.001804242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8071375,0.03971808,0.01581818,0.09781361,0.01777228,0.004675614,0.0001976747,0.00800644,0.008860545],"genre_scores_gemma":[0.9789814,0.001688743,0.007876771,0.001774674,0.00179904,0.0002232108,0.00005736331,0.0001820708,0.007416776],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7130722,"threshold_uncertainty_score":0.9997574,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4388247858","doi":"10.1007/s00605-023-01918-y","title":"A two plus one dimensional continuous wavelet transform","year":2023,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Square-integrable function; Invertible matrix; Affine transformation; Equivalence (formal languages); Mathematics; Representation (politics); Wavelet; Continuous wavelet transform; Integrable system; Pure mathematics; Operator (biology); Irreducible representation; Wavelet transform; Algebra over a field; Discrete wavelet transform; Computer science; Artificial intelligence","retraction":null,"screen_n_in":null,"score":{"opus":0.05590087050227651,"gpt":0.3477365269162547,"spread":0.2918356564139782,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.005131831,0.001518385,0.003609381,0.0009149006,0.0006986843,0.0004016252,0.001224669,0.0006823048,0.006920454],"category_scores_gemma":[0.0009717857,0.001313793,0.001873901,0.002479072,0.0004635474,0.0005263902,0.0003525671,0.001293945,0.01243892],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003109741,"about_ca_system_score_gemma":0.0003132647,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008112949,"about_ca_topic_score_gemma":0.00005000683,"domain_scores_codex":[0.9895808,0.0005352632,0.003309217,0.001536069,0.002780057,0.002258668],"domain_scores_gemma":[0.9924241,0.003569777,0.000808779,0.001867179,0.0004648149,0.0008654007],"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":[0.0003728961,0.003528311,0.00001439954,0.01012149,0.005406605,0.0007253998,0.01205681,0.000236426,0.001961928,0.900507,0.02333999,0.04172871],"study_design_scores_gemma":[0.004492613,0.0002957639,0.00004289866,0.001684793,0.003031854,0.00006496614,0.0009267065,0.1061486,0.003092681,0.8620922,0.01631518,0.001811711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2450382,0.01501465,0.3790321,0.03686546,0.006844777,0.01788636,0.003398096,0.008977086,0.2869433],"genre_scores_gemma":[0.395317,0.004058834,0.4606782,0.002000142,0.004255785,0.001993379,0.001421876,0.00207435,0.1282004],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1587429,"threshold_uncertainty_score":0.9997565,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W174048182","doi":"10.1007/s00605-016-0966-1","title":"A monad measure space for logarithmic density","year":2016,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences; York University","funders":"York University; American Institute of Mathematics; National Science Foundation","keywords":"Multiplicative function; Banach space; Mathematical proof; Logarithm; Measure (data warehouse); Quotient; Quotient space (topology); Space (punctuation)","retraction":null,"screen_n_in":null,"score":{"opus":0.02867325481711008,"gpt":0.3010279339849474,"spread":0.2723546791678373,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.002356415,0.001312403,0.001813418,0.000375844,0.0005161833,0.0001323903,0.001188336,0.0007993868,0.0007397269],"category_scores_gemma":[0.004824288,0.0009794858,0.0008878669,0.0004187791,0.0005806111,0.0005717119,0.0005045899,0.0005474473,0.002977985],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008360136,"about_ca_system_score_gemma":0.0002995014,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001669392,"about_ca_topic_score_gemma":0.00007521659,"domain_scores_codex":[0.9937702,0.0003497706,0.001361656,0.001477259,0.001221653,0.001819457],"domain_scores_gemma":[0.9909509,0.00403195,0.001211561,0.002470159,0.0007840404,0.0005513305],"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":[0.00111751,0.001673189,0.000146083,0.00393476,0.001656766,0.0001791154,0.004303868,0.00001815042,0.04009728,0.8404146,0.0732717,0.03318701],"study_design_scores_gemma":[0.003943353,0.000330463,0.0000620655,0.002025015,0.0009430332,0.0000709328,0.0005609521,0.0008699918,0.02615983,0.9230886,0.04034872,0.001597082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04182146,0.006818214,0.9249023,0.01146962,0.002278334,0.0061259,0.0008500786,0.001159224,0.004574853],"genre_scores_gemma":[0.5917221,0.001231739,0.3094208,0.0007788391,0.003256524,0.001478075,0.00005547446,0.001487062,0.09056933],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6154815,"threshold_uncertainty_score":0.9999627,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4399117267","doi":"10.1007/s00605-024-01984-w","title":"A note on Fourier coefficients of Hecke eigenforms in short intervals","year":2024,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Fourier series; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.05064211759894979,"gpt":0.382125868150349,"spread":0.3314837505513993,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.004339274,0.0008194553,0.001562429,0.001279793,0.0001023647,0.0002581441,0.001252733,0.0005111142,0.002672263],"category_scores_gemma":[0.001469411,0.0006809473,0.0007228003,0.001552121,0.0004473222,0.0002861468,0.0006538469,0.001339477,0.004678406],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00063724,"about_ca_system_score_gemma":0.0003505706,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004426716,"about_ca_topic_score_gemma":0.00003136687,"domain_scores_codex":[0.9931314,0.0003126725,0.002276494,0.0008812652,0.002152626,0.001245527],"domain_scores_gemma":[0.9952596,0.002271248,0.0001993752,0.001701756,0.0002466805,0.0003213797],"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":[0.0009734585,0.006656914,0.0004865538,0.02683424,0.002672247,0.00197081,0.07220045,0.000508925,0.001946175,0.7325273,0.0414847,0.1117382],"study_design_scores_gemma":[0.002083855,0.001311141,0.0002797703,0.01900281,0.0009620865,0.00008962152,0.003880413,0.2664803,0.01899849,0.6458793,0.03881102,0.002221259],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8604066,0.007590903,0.03915311,0.001793377,0.002957714,0.004589927,0.0006558709,0.000545422,0.08230712],"genre_scores_gemma":[0.9803638,0.0002858582,0.002687797,0.0001427005,0.0003045595,0.0001298036,0.00003862936,0.0003088694,0.01573792],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2659713,"threshold_uncertainty_score":0.9995642,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4411219706","doi":"10.1007/s00605-025-02079-w","title":"Complexity of well-ordered sets in an ordered Abelian group","year":2025,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"Simons Foundation","keywords":"Abelian group; Group (periodic table); Mathematics; Combinatorics; Pure mathematics; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.03914299349381376,"gpt":0.315109941042495,"spread":0.2759669475486812,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002116261,0.0009199781,0.001746407,0.001005094,0.0002828829,0.0004082934,0.003773855,0.0004836013,0.0004539771],"category_scores_gemma":[0.0002750767,0.0009598804,0.0003918678,0.003187859,0.0008885469,0.0007946141,0.002184364,0.0008424483,0.0002912451],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003857801,"about_ca_system_score_gemma":0.0004111629,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008741324,"about_ca_topic_score_gemma":0.001250987,"domain_scores_codex":[0.9925216,0.0008838424,0.002283503,0.001952134,0.001098093,0.0012608],"domain_scores_gemma":[0.9944769,0.0006917798,0.0007651293,0.003242575,0.0004976339,0.000325996],"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":[0.0003809416,0.01860658,0.02150878,0.007361208,0.0007761493,0.0004229845,0.02206309,0.003154734,0.002619667,0.6156304,0.005352566,0.3021229],"study_design_scores_gemma":[0.002138112,0.0004479363,0.04193711,0.0006712598,0.00007977321,0.00001265389,0.0003359827,0.5293578,0.0006273824,0.4202073,0.003260487,0.0009242443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5295771,0.01355485,0.4172595,0.009121334,0.007331308,0.00593542,0.0002969442,0.001243905,0.0156797],"genre_scores_gemma":[0.853766,0.0001771821,0.1446528,0.0005047391,0.0001324979,0.00009983779,0.00007317893,0.00007464576,0.000519167],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.526203,"threshold_uncertainty_score":0.9992852,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4389671892","doi":"10.1007/s00605-023-01927-x","title":"Solvability of some integro-differential equations with the double scale anomalous diffusion in higher dimensions","year":2023,"lang":"en","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Scale (ratio); Diffusion; Mathematical analysis; Differential equation; Pure mathematics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.03034742094304066,"gpt":0.2678899896244075,"spread":0.2375425686813668,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000331336,0.0002086825,0.0003266246,0.0001813591,0.0001140226,0.00004612433,0.0007433591,0.00007160469,0.00003087855],"category_scores_gemma":[0.00006251293,0.0001312662,0.00007985462,0.0008047881,0.0001077315,0.0003631055,0.0004791758,0.0002477358,0.00004698461],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006042615,"about_ca_system_score_gemma":0.00002973175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000139985,"about_ca_topic_score_gemma":0.00001289024,"domain_scores_codex":[0.9983586,0.00003742009,0.0004279672,0.0003687085,0.0004456566,0.0003616516],"domain_scores_gemma":[0.9982526,0.0005869326,0.0001272213,0.0008885287,0.00007611033,0.00006860323],"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":[0.00005113023,0.0008438306,0.0003577528,0.0004806928,0.00005083411,0.00002314221,0.007334895,0.0934756,0.02319141,0.8716247,0.0002367176,0.002329322],"study_design_scores_gemma":[0.0006844355,0.00006330104,0.003147201,0.000184891,0.00001393703,0.000004451594,0.0001211414,0.8654857,0.001836877,0.1281674,0.00003866837,0.0002519786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4174896,0.00003196831,0.5808545,0.0006033027,0.0001200363,0.0003164676,0.00000227297,0.0002678201,0.0003140368],"genre_scores_gemma":[0.9715073,0.000005330775,0.02787727,0.0000265906,0.00002551878,0.0001158071,0.000003262293,0.00002615067,0.0004127289],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7720101,"threshold_uncertainty_score":0.5352882,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}