{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":56,"total_is_capped":false,"direct_labels_cover":1,"predictions_cover":56,"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":"ac0bd02b49d2","filters":{"venue":"Semigroup Forum"}},"results":[{"id":"W2122984067","doi":"10.1007/s00233-014-9594-z","title":"A groupoid generalisation of Leavitt path algebras","year":2014,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":88,"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":"Simons Foundation","keywords":"Mathematics; Subalgebra; Hausdorff space; Double groupoid; Uniqueness; Pure mathematics; Surjective function; Locally compact space; Graph; Path (computing); Algebraic number; Algebra over a field; Discrete mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.02964528268018235,"gpt":0.3164099779354618,"spread":0.2867646952552794,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006301925,0.0001881379,0.000321118,0.0001137855,0.0001026816,0.00002347418,0.0003051998,0.0001195018,0.0001333926],"category_scores_gemma":[0.000667422,0.0001682599,0.0001146146,0.0002678925,0.00009717986,0.0002443185,0.0001428623,0.0002054866,0.00006277166],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007125083,"about_ca_system_score_gemma":0.00003125551,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003880638,"about_ca_topic_score_gemma":0.00007807651,"domain_scores_codex":[0.9981678,0.0001396591,0.0004091825,0.0002997554,0.0005022623,0.0004813226],"domain_scores_gemma":[0.9986737,0.0003153552,0.0001559778,0.000598296,0.0001397698,0.0001169261],"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":[0.00004551206,0.0001863604,0.004902395,0.0001921419,0.0000459445,0.000003330356,0.000668288,0.00003035274,0.07046029,0.8998286,0.01589371,0.007743106],"study_design_scores_gemma":[0.001607822,0.0005606875,0.001199203,0.000109585,0.00004281006,0.00002128954,0.0006526985,0.004480289,0.108645,0.859756,0.02234374,0.0005809494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9243526,0.0001212201,0.06942183,0.0007843727,0.0001840583,0.0004511081,0.00002164252,0.0001619532,0.004501188],"genre_scores_gemma":[0.972649,0.0000166412,0.02583101,0.0002852706,0.0001506615,0.00004402048,0.00002303022,0.00006241185,0.0009379649],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04829636,"threshold_uncertainty_score":0.6861441,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2007471451","doi":"10.1007/s00233-005-0540-y","title":"The Category of S-Posets","year":2005,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":83,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Monotone polygon; Action (physics); Cartesian closed category; Set (abstract data type); Closed category; Pure mathematics; Algebra over a field; Combinatorics; Discrete mathematics; Computer science; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.005953063401598615,"gpt":0.222598641082001,"spread":0.2166455776804024,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001336446,0.00007072696,0.00007715078,0.0000212335,0.0001460072,0.00002659709,0.0007090484,0.00002972987,0.000006018881],"category_scores_gemma":[0.00001880451,0.00004441085,0.00005037234,0.0001484838,0.00005781736,0.0002586124,0.0001761581,0.00007828739,0.0000639631],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001609518,"about_ca_system_score_gemma":0.0000197755,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006447698,"about_ca_topic_score_gemma":0.00005149528,"domain_scores_codex":[0.9992858,0.00001923675,0.0001452232,0.0001473891,0.0001392049,0.0002631987],"domain_scores_gemma":[0.9993414,0.00009130054,0.00006690125,0.0004331759,0.00002720661,0.00004000914],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000003176282,0.00002639721,0.0004474676,0.000002891882,0.000007085267,0.000001884385,0.0002632379,0.00009716211,0.001560315,0.7442783,0.006056686,0.2472554],"study_design_scores_gemma":[0.0005116762,0.0002172055,0.005900766,0.00001759173,0.00000629981,0.00004176974,0.0003593749,0.01956838,0.03389518,0.2510579,0.688056,0.0003678371],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08386606,0.007638411,0.8245633,0.02926006,0.001209331,0.0004300225,0.00000451626,0.0004704449,0.05255783],"genre_scores_gemma":[0.9918603,0.00005451448,0.006401075,0.000592306,0.00005301604,0.000005685724,6.596704e-7,0.000004304586,0.00102817],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9079942,"threshold_uncertainty_score":0.1811022,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2065473952","doi":"10.1007/s00233-011-9359-x","title":"The tiling C*-algebra viewed as a tight inverse semigroup algebra","year":2011,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":24,"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":"Mathematics; Inverse semigroup; Cellular algebra; Algebra over a field; Aperiodic graph; Filtered algebra; Inverse; Semigroup; Incidence algebra; Bicyclic semigroup; Division algebra; Associative property; Algebra representation; Pure mathematics; Combinatorics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.05482950231227376,"gpt":0.3214505644800035,"spread":0.2666210621677297,"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":[0.001341138,0.000552645,0.0005416331,0.0001727968,0.0009886865,0.0001576195,0.001331327,0.0002974906,0.00107257],"category_scores_gemma":[0.001450545,0.0003956369,0.0003223706,0.000727056,0.0004119027,0.0006061898,0.0006883112,0.0009359604,0.001719364],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002285652,"about_ca_system_score_gemma":0.0001890845,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001022947,"about_ca_topic_score_gemma":0.0008218965,"domain_scores_codex":[0.995545,0.0002740161,0.0008102941,0.0007577018,0.0009776852,0.001635332],"domain_scores_gemma":[0.9964118,0.0009762321,0.0002653119,0.001639126,0.0002633783,0.0004441515],"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":[0.0003831377,0.0004502194,0.003286001,0.0002057855,0.0003713627,0.0002163184,0.006689131,0.000002149166,0.0073873,0.9006205,0.06725822,0.01312987],"study_design_scores_gemma":[0.001809086,0.0005335557,0.0002952439,0.0002614833,0.0001208743,0.0001596829,0.00824901,0.001214409,0.04216957,0.8244001,0.1195532,0.001233774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8917872,0.002328255,0.005111525,0.002032418,0.001344811,0.002832014,0.00003929013,0.001219466,0.09330498],"genre_scores_gemma":[0.9432557,0.0007897679,0.02557442,0.001895631,0.0005298065,0.000573225,0.00003322117,0.0004704103,0.0268778],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07622042,"threshold_uncertainty_score":0.9998496,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1979023522","doi":"10.1007/s00233-008-9115-z","title":"Amenability constants for semilattice algebras","year":2008,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto; University of Waterloo","funders":"","keywords":"Semilattice; Mathematics; Semigroup; Commutative property; Bicyclic semigroup; Cancellative semigroup; Idempotence; Constant (computer programming); Pure mathematics; Algebra over a field; Discrete mathematics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.09126690330698464,"gpt":0.3725019674760675,"spread":0.2812350641690828,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005434935,0.0002535985,0.0003904151,0.00007945619,0.0004319196,0.00002416658,0.000365505,0.0001479065,0.0002003012],"category_scores_gemma":[0.001791839,0.0002315437,0.0001638369,0.0002805284,0.000317818,0.0002879859,0.0001585268,0.0002767516,0.00008529957],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001901379,"about_ca_system_score_gemma":0.0001513859,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001050935,"about_ca_topic_score_gemma":0.00005621954,"domain_scores_codex":[0.9976611,0.00007401001,0.0004339369,0.0005058295,0.0004518644,0.0008732802],"domain_scores_gemma":[0.9973869,0.001282112,0.0001015025,0.0007445829,0.0002661705,0.0002187666],"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":[0.0006951258,0.001222969,0.05436249,0.0008464211,0.0003277231,0.0001288951,0.002953138,0.00001979481,0.01980509,0.6666489,0.2459435,0.007045961],"study_design_scores_gemma":[0.003772167,0.0006213461,0.001285632,0.0001106704,0.00006533392,0.0002431733,0.002212971,0.001492355,0.04840183,0.8765835,0.06408043,0.001130635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9524134,0.000285078,0.03776957,0.001202901,0.0002623004,0.001903186,0.0001419976,0.0003842749,0.005637283],"genre_scores_gemma":[0.9463093,0.00004233711,0.04945054,0.0004935873,0.0001254025,0.0002624597,0.00001813044,0.00008952496,0.003208772],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2099346,"threshold_uncertainty_score":0.9442078,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1972323119","doi":"10.1007/s00233-008-9104-2","title":"Rationally smooth algebraic monoids","year":2008,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Monoid; Mathematics; Betti number; Class (philosophy); Algebraic number; Pure mathematics; Algebra over a field; Group (periodic table); Combinatorics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.04959346414516089,"gpt":0.3026814073232294,"spread":0.2530879431780685,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001165077,0.0001496622,0.0001739954,0.000068832,0.0003465082,0.00001744639,0.0002409447,0.00006613848,0.0003932378],"category_scores_gemma":[0.0001193644,0.0001379515,0.00009996499,0.0002322021,0.00009670296,0.0001608108,0.00008551488,0.0001487175,0.0002776867],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004338071,"about_ca_system_score_gemma":0.00006129143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000166567,"about_ca_topic_score_gemma":0.00006378214,"domain_scores_codex":[0.99898,0.00003446063,0.0002674497,0.000214058,0.0002271609,0.0002768962],"domain_scores_gemma":[0.9990166,0.0003016209,0.00009136843,0.0004209167,0.00008521338,0.00008428776],"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":[0.000008405771,0.0001451301,0.003445791,0.00001156641,0.00003500259,0.000005090467,0.0008918518,0.000002158769,0.002299955,0.8514766,0.1401192,0.001559244],"study_design_scores_gemma":[0.0006008071,0.00009551944,0.01475858,0.00001852015,0.00002824935,0.00005691379,0.0004071486,0.0004462223,0.003316006,0.8784316,0.1014664,0.0003740248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9084727,0.0002806871,0.03774788,0.005043082,0.0001141879,0.0005387986,0.00003219868,0.000350178,0.04742029],"genre_scores_gemma":[0.98305,0.00003947738,0.009884954,0.0007136677,0.0000950668,0.0001117461,0.00003704335,0.00003615949,0.006031861],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07457733,"threshold_uncertainty_score":0.5625499,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2013653818","doi":"10.1007/s00233-013-9542-3","title":"Semigroups embeddable in hyperplane face monoids","year":2013,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","cited_by":17,"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":"Mathematics; Hyperplane; Monoid; Semigroup; Decidability; Bicyclic semigroup; Free monoid; Cancellative semigroup; Combinatorics; Discrete mathematics; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.004423136839529797,"gpt":0.1963299639480003,"spread":0.1919068271084705,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004441705,0.0003560382,0.0004097998,0.0002594058,0.0001406199,0.0003459419,0.001677839,0.0002006379,0.0002614008],"category_scores_gemma":[0.00004852624,0.0003233919,0.0001275232,0.0007724602,0.00006857971,0.001743297,0.0006018654,0.0003705332,0.001797783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001125237,"about_ca_system_score_gemma":0.0000495081,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009509575,"about_ca_topic_score_gemma":0.0001143749,"domain_scores_codex":[0.9971718,0.0001033988,0.0004896631,0.0007466187,0.0003885649,0.001099915],"domain_scores_gemma":[0.9982575,0.000185556,0.0001131404,0.00116269,0.00005157938,0.0002295947],"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":[0.00003653441,0.001082016,0.07930216,0.0001725506,0.0001294037,0.0002913893,0.006670984,0.001681443,0.0650785,0.351768,0.2284174,0.2653696],"study_design_scores_gemma":[0.003812067,0.0006335481,0.04728734,0.0003863824,0.00002284969,0.0004486963,0.005427777,0.6533849,0.02438439,0.1809874,0.07988074,0.003343902],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8419184,0.001902854,0.1198239,0.006187261,0.001175245,0.001143021,0.00001492862,0.001371839,0.02646259],"genre_scores_gemma":[0.9839689,0.00005580333,0.01055119,0.002000464,0.00008164458,0.0001416206,0.00001665385,0.00003709172,0.003146659],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6517035,"threshold_uncertainty_score":0.9999218,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1967220306","doi":"10.1007/s00233-007-9003-y","title":"Some conditions related to the exactness of Rees-Sushkevich varieties","year":2007,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Topics in Algebra","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":"Simon Fraser University","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.02254713870056346,"gpt":0.329814573961291,"spread":0.3072674352607275,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007097779,0.0001605666,0.0002429837,0.00009801826,0.0001873899,0.00001458424,0.0003862577,0.0001311232,0.0001146014],"category_scores_gemma":[0.000613711,0.0001217625,0.00009688102,0.0003691192,0.0001336867,0.0001581026,0.000168729,0.0002721154,0.00006659442],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009049298,"about_ca_system_score_gemma":0.00002584942,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001556897,"about_ca_topic_score_gemma":0.00014828,"domain_scores_codex":[0.9985242,0.00004026053,0.0004899721,0.0002085747,0.0003144176,0.0004225371],"domain_scores_gemma":[0.9980729,0.0008440752,0.0001827275,0.000705338,0.0001129803,0.00008195818],"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":[0.00001377432,0.00005915977,0.0005484105,0.00003056201,0.00004164416,0.000005299474,0.0008368736,0.00001199367,0.001112184,0.9889172,0.007954926,0.0004679655],"study_design_scores_gemma":[0.0002359048,0.0000716627,0.001174784,0.00005762538,0.00003168824,0.00001643004,0.002002682,0.00001867229,0.008446848,0.9742248,0.01355225,0.000166645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8890754,0.0007630938,0.05935602,0.00794309,0.001807044,0.001542815,0.00009958463,0.000463658,0.03894931],"genre_scores_gemma":[0.9856554,0.0000155392,0.007700143,0.0005002781,0.0001208812,0.00002688605,0.00001572155,0.00004553459,0.005919601],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09658003,"threshold_uncertainty_score":0.4965332,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2025482220","doi":"10.1007/s00233-007-9004-x","title":"Limitations on the size of semigroups of matrices","year":2007,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Holomorphic and Operator Theory","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":"University of Toronto; University of Waterloo","funders":"","keywords":"Mathematics; Algebra over a field; Arithmetic; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.0665748204887472,"gpt":0.2928507317221837,"spread":0.2262759112334365,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001225471,0.000122513,0.0002275085,0.0000611147,0.00008419579,0.000006250537,0.000269427,0.0000921659,0.0001466064],"category_scores_gemma":[0.001138784,0.00007946666,0.0001213429,0.0002753295,0.0001404557,0.00005227801,0.00004983061,0.0001504285,0.00002607051],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001972133,"about_ca_system_score_gemma":0.00002267238,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001574562,"about_ca_topic_score_gemma":0.00007225492,"domain_scores_codex":[0.9988638,0.00006151258,0.0004236721,0.0001255767,0.0002730578,0.0002524155],"domain_scores_gemma":[0.9941264,0.005103883,0.0002270888,0.0004027974,0.00009367667,0.00004613945],"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":[0.00006975581,0.0002102956,0.001689803,0.00006968668,0.00005896557,0.000003602929,0.001845909,0.000003876819,0.0102663,0.972967,0.0115817,0.001233146],"study_design_scores_gemma":[0.001361221,0.0009469188,0.006822872,0.0005093351,0.0002222072,0.00002605714,0.03889747,0.0001334192,0.2746319,0.6596447,0.01619058,0.0006133424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9559811,0.000182171,0.001556514,0.0007634925,0.0001126196,0.0002675425,0.00002880695,0.00004213077,0.04106558],"genre_scores_gemma":[0.9966035,0.00003457161,0.002054628,0.0002973515,0.00004210953,0.000006825219,0.000002035039,0.00002168557,0.0009372917],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3133223,"threshold_uncertainty_score":0.3240557,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2086167671","doi":"10.1007/s00233-010-9285-3","title":"Uniqueness of C 0-semigroups on a general locally convex vector space and an application","year":2010,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Agence Universitaire de la Francophonie","keywords":"Mathematics; Uniqueness; Locally convex topological vector space; Banach space; Uniformly convex space; Regular polygon; Pure mathematics; Vector space; Space (punctuation); Reflexive space; Functional analysis; Algebra over a field; Mathematical analysis; Interpolation space; Lp space; Eberlein–Šmulian theorem; Computer science; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.02462520297426874,"gpt":0.3384504877957073,"spread":0.3138252848214386,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006898529,0.0002285903,0.0003776804,0.00008588605,0.00007854031,0.00002413544,0.0002838897,0.0002356636,0.00005119781],"category_scores_gemma":[0.0003668851,0.0002053898,0.00006614722,0.0002089239,0.000230875,0.0001390629,0.0001078924,0.0004093897,0.00001199786],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003254287,"about_ca_system_score_gemma":0.00003322449,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001571795,"about_ca_topic_score_gemma":0.0001179766,"domain_scores_codex":[0.9984667,0.0001281897,0.0003719637,0.000407906,0.0002760052,0.0003492848],"domain_scores_gemma":[0.998272,0.0004756927,0.0002541762,0.0007126241,0.000104814,0.0001806753],"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":[0.00005813782,0.0001827428,0.002275854,0.0001192603,0.00002261447,0.000001572254,0.0002784874,0.000004822323,0.3155964,0.6705315,0.0006552031,0.0102734],"study_design_scores_gemma":[0.0009341206,0.0006309044,0.0010434,0.00008877052,0.00006152828,0.00002866772,0.000345886,0.01142673,0.2045726,0.7692049,0.01109995,0.0005625315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8215863,0.00003253938,0.1723227,0.0008030624,0.0003813618,0.0007687939,0.00002520668,0.0002036735,0.003876387],"genre_scores_gemma":[0.7226903,0.00001120893,0.2764977,0.0002845603,0.0001306798,0.00008615585,0.000008761384,0.00005527284,0.00023539],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1110237,"threshold_uncertainty_score":0.8375552,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2076116808","doi":"10.1007/s00233-009-9144-2","title":"Flatness properties of diagonal acts over monoids","year":2009,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","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":"Wilfrid Laurier University","funders":"","keywords":"Monoid; Flatness (cosmology); Mathematics; Diagonal; Pure mathematics; Projective test; Algebra over a field; Discrete mathematics; Geometry; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.00943579455960058,"gpt":0.2115320754355206,"spread":0.20209628087592,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002468124,0.000186481,0.0002477248,0.0001016294,0.00009272727,0.00008129767,0.0009432198,0.0000909842,0.00002146785],"category_scores_gemma":[0.00003218159,0.000147735,0.000119308,0.0003068514,0.00006829272,0.0007400755,0.0002087637,0.0001285216,0.0000287979],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002952732,"about_ca_system_score_gemma":0.00004883288,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002596651,"about_ca_topic_score_gemma":0.000005649378,"domain_scores_codex":[0.9985539,0.00004238776,0.0002892334,0.0003379025,0.0003302296,0.0004463827],"domain_scores_gemma":[0.9990596,0.00003617188,0.0001179609,0.0006368454,0.00005165986,0.00009771661],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00005418246,0.000377562,0.002201051,0.00005932158,0.00004732031,0.00002647876,0.002193629,0.00009816865,0.2837337,0.5815297,0.006369777,0.1233091],"study_design_scores_gemma":[0.001896147,0.0009172707,0.05203267,0.0005205673,0.00003191222,0.0000855142,0.0005645334,0.07916454,0.7264303,0.1174504,0.01948464,0.001421506],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9634035,0.00139619,0.02849017,0.002065219,0.0004614277,0.0002166051,0.000005283466,0.000349104,0.003612546],"genre_scores_gemma":[0.9960985,0.00002298759,0.002270289,0.001017258,0.00007149694,0.000007125127,0.000002441833,0.00001008096,0.0004997829],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4640793,"threshold_uncertainty_score":0.602446,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4281846588","doi":"10.1007/s00233-022-10285-3","title":"The stylic monoid","year":2022,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","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":"Université du Québec à Montréal","funders":"","keywords":"Monoid; Free monoid; Mathematics; Bijection; Combinatorics; Syntactic monoid; Quotient","retraction":null,"screen_n_in":null,"score":{"opus":0.004120705925906042,"gpt":0.1916066612687809,"spread":0.1874859553428748,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0006818428,0.0001241678,0.0001029687,0.0000492642,0.001526495,0.0001986943,0.002083638,0.00002157311,0.00006465336],"category_scores_gemma":[0.00002134541,0.00009123494,0.00009974159,0.0004183475,0.00005072606,0.0002548851,0.001512061,0.0002531753,0.0000913894],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000741289,"about_ca_system_score_gemma":0.00004240594,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003275817,"about_ca_topic_score_gemma":0.00001197327,"domain_scores_codex":[0.9984733,0.0001304078,0.0001872549,0.0003164595,0.0003854065,0.0005071741],"domain_scores_gemma":[0.9986979,0.0002072312,0.00008291828,0.0009243562,0.00001690317,0.00007068293],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00000697665,0.00004400999,0.0003356259,0.000002071144,0.00001707902,0.00001681084,0.000448594,0.0001203734,0.0009739081,0.8517039,0.05837183,0.08795876],"study_design_scores_gemma":[0.0002511338,0.0001358461,0.0005723675,0.000002808439,0.000003439701,0.00007699842,0.001241516,0.04104894,0.0008288141,0.08182739,0.873768,0.0002427349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3272769,0.01976163,0.3940692,0.1174797,0.01416963,0.002244167,0.00009716133,0.0054326,0.119469],"genre_scores_gemma":[0.9904065,0.00003729319,0.00124735,0.002941287,0.00007475908,0.0001434333,0.000005219973,0.000018467,0.00512571],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8153962,"threshold_uncertainty_score":0.9997734,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2022733343","doi":"10.1007/s002330010029","title":"Semigroups Generated by Similarity Orbits","year":2000,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","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 Victoria; Statistics Canada; Dalhousie University","funders":"","keywords":"Mathematics; Similarity (geometry); Algebra over a field; Pure mathematics; Artificial intelligence; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.00469261697358755,"gpt":0.1999972166823348,"spread":0.1953045997087473,"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":[0.0005185819,0.0004099474,0.0003951885,0.00009822867,0.0003763878,0.0003396071,0.001761783,0.0002423979,0.001079265],"category_scores_gemma":[0.00002864422,0.0003825513,0.0001864211,0.0007608983,0.00009881546,0.00106164,0.0002858834,0.0003680342,0.0009373905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008429004,"about_ca_system_score_gemma":0.00005598035,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001377307,"about_ca_topic_score_gemma":0.00002693164,"domain_scores_codex":[0.9969185,0.0001527333,0.0004697516,0.0009015084,0.0005227825,0.00103472],"domain_scores_gemma":[0.9981456,0.0001222127,0.0000981664,0.001261476,0.00006471799,0.0003077844],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00005117976,0.0004030226,0.00135662,0.00002976167,0.0001007122,0.00009925164,0.0006433662,0.0001554556,0.04888592,0.05645817,0.6235476,0.268269],"study_design_scores_gemma":[0.001753658,0.0003249266,0.001377465,0.00008211222,0.00003174058,0.000220406,0.0001400944,0.1286222,0.09840943,0.01752041,0.7497212,0.001796386],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8323165,0.003321735,0.1025659,0.01124556,0.001364383,0.0008601291,0.0002076497,0.004049701,0.04406852],"genre_scores_gemma":[0.9676393,0.0002574537,0.007378551,0.01129143,0.0001930491,0.00004998333,0.000104715,0.00006174972,0.01302374],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2664726,"threshold_uncertainty_score":0.9998626,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2066488453","doi":"10.1007/s00233-009-9137-1","title":"A note on the approximate amenability of semigroup algebras","year":2009,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Operator Algebra 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":"University of Manitoba","funders":"","keywords":"Semigroup; Mathematics; Bicyclic semigroup; Cancellative semigroup; Inverse semigroup; Convolution (computer science); Algebra over a field; Pure mathematics; Discrete mathematics; Computer science; Artificial intelligence","retraction":null,"screen_n_in":null,"score":{"opus":0.03304139599482681,"gpt":0.3380917114176637,"spread":0.3050503154228369,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009688855,0.000318561,0.0004567352,0.0001004529,0.0002174739,0.00004234148,0.0007106063,0.000154702,0.000201451],"category_scores_gemma":[0.001413889,0.000209015,0.0002158827,0.000502578,0.0002256615,0.0001899216,0.0001572872,0.0005701238,0.00006758879],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001637419,"about_ca_system_score_gemma":0.00006455608,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001446935,"about_ca_topic_score_gemma":0.00003744948,"domain_scores_codex":[0.9971781,0.0001962114,0.0005630839,0.0004878618,0.000788252,0.000786439],"domain_scores_gemma":[0.9969382,0.001154132,0.0002011247,0.001406984,0.0001584559,0.000141133],"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":[0.0002269065,0.0007252339,0.000650883,0.0001294401,0.00005193951,0.00001182598,0.001289009,0.00002787449,0.03152613,0.9420078,0.01290085,0.01045208],"study_design_scores_gemma":[0.0007284238,0.0007723731,0.0009091524,0.0001492454,0.00002812405,0.00001227926,0.0009299018,0.001616398,0.08744345,0.903823,0.003183719,0.0004039794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9650171,0.0001388782,0.009672834,0.009295859,0.0001270005,0.001646273,0.00004838407,0.0002659662,0.0137877],"genre_scores_gemma":[0.9916536,0.00001835861,0.006366193,0.001058591,0.0000731586,0.00006151633,0.000006375305,0.00004676971,0.0007154876],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05591732,"threshold_uncertainty_score":0.8523385,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2061666650","doi":"10.1007/s00233-009-9202-9","title":"Examples concerning absolute flatness and amalgamation in pomonoids","year":2009,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Geometric and Algebraic Topology","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":"Wilfrid Laurier University","funders":"","keywords":"Flatness (cosmology); Mathematics; Absolute (philosophy); Algebra over a field; Pure mathematics; Arithmetic; Philosophy; Epistemology; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.03417676132262456,"gpt":0.2961287695873331,"spread":0.2619520082647085,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002767622,0.0001200776,0.0002206105,0.0001856319,0.00006587708,0.0000244743,0.00009453323,0.0001096938,0.0000561663],"category_scores_gemma":[0.000226209,0.0001127086,0.00003020342,0.0002779519,0.00004682803,0.0001291753,0.00003958716,0.0001375338,0.00001173613],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003170251,"about_ca_system_score_gemma":0.00001249167,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006051155,"about_ca_topic_score_gemma":0.00008426655,"domain_scores_codex":[0.9990742,0.00003660571,0.0002567674,0.0001955032,0.0001084329,0.0003285258],"domain_scores_gemma":[0.9994553,0.0002298725,0.00009038757,0.0001520213,0.00001954343,0.00005285149],"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":[0.00005213159,0.0001915842,0.04062902,0.0001348259,0.00003676187,0.00005563001,0.004499237,0.00002622232,0.002800011,0.8270309,0.005481806,0.1190619],"study_design_scores_gemma":[0.001772419,0.0003081267,0.1790323,0.0001153241,0.00002855071,0.00008584242,0.003089725,0.002274213,0.0007552022,0.8055809,0.006479596,0.000477763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9894665,0.0005756528,0.003576348,0.001193148,0.00009089849,0.0001534037,0.00000240341,0.00007927994,0.004862311],"genre_scores_gemma":[0.9960216,0.0000488901,0.00293907,0.0002555695,0.00004827389,0.000005877394,0.000006124812,0.00001025201,0.000664301],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1384033,"threshold_uncertainty_score":0.4596125,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004034154","doi":"10.1007/s00233-008-9057-5","title":"On finitely generated idempotent semigroups","year":2008,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Idempotence; Mathematics; Semigroup; Mathematical proof; Finitely-generated abelian group; Algebra over a field; Pure mathematics; Stallings theorem about ends of groups; Discrete mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.01667258307827014,"gpt":0.2150343545220483,"spread":0.1983617714437782,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003803117,0.0004086436,0.0003720074,0.0002433951,0.0005311405,0.0001228945,0.001501363,0.0001899347,0.0001034466],"category_scores_gemma":[0.0001001586,0.0003580302,0.0002260732,0.0007757617,0.00009788103,0.0006230401,0.0004221911,0.0003708942,0.001018756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001023731,"about_ca_system_score_gemma":0.00008555323,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005831247,"about_ca_topic_score_gemma":0.00001431421,"domain_scores_codex":[0.9970254,0.0001298413,0.0004738381,0.0008403194,0.0006116899,0.0009188816],"domain_scores_gemma":[0.997872,0.000283574,0.0001675517,0.001311378,0.00008714935,0.000278332],"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":[0.000074465,0.0006218861,0.001992411,0.00002682901,0.0001234156,0.0008966658,0.001599164,0.00162983,0.01523579,0.7254939,0.2241772,0.0281284],"study_design_scores_gemma":[0.006343092,0.002950826,0.01756701,0.0004313276,0.00005889642,0.00288986,0.000555891,0.4474843,0.1004872,0.20554,0.2103947,0.005297034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7590099,0.0009664632,0.2177369,0.00402036,0.001708641,0.0004806819,0.00002651704,0.002012863,0.01403765],"genre_scores_gemma":[0.9834879,0.0001220288,0.007776684,0.00636519,0.0001712958,0.00004317088,0.00003046154,0.00004651819,0.001956775],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5199539,"threshold_uncertainty_score":0.9998872,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2080407129","doi":"10.1007/s00233-004-0118-0","title":"The Endomorphism Monoid of the Random Graph has Uncountably Many Ideals","year":2004,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":8,"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":"Endomorphism; Mathematics; Monoid; Combinatorics; Free monoid; Partially ordered set; Discrete mathematics; Syntactic monoid; Graph","retraction":null,"screen_n_in":null,"score":{"opus":0.0197559544363732,"gpt":0.2667424502853802,"spread":0.246986495849007,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007197869,0.0001898565,0.0003124699,0.00003474362,0.0006939793,0.00001949769,0.0005439864,0.0001329741,0.00003551165],"category_scores_gemma":[0.0004214506,0.0001020383,0.0002529029,0.0001789216,0.0007772814,0.00009495526,0.000139117,0.0002965727,0.00002219091],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004863028,"about_ca_system_score_gemma":0.00006208751,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004784546,"about_ca_topic_score_gemma":0.0003499578,"domain_scores_codex":[0.9985832,0.0001372576,0.0004152502,0.0001894629,0.0002358873,0.0004389532],"domain_scores_gemma":[0.9978061,0.001099551,0.0002735883,0.0007177069,0.00005679893,0.0000463073],"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":[0.0002328606,0.00006447902,0.0002032031,0.00002112957,0.00008302772,0.000004769029,0.0006704478,0.0001082217,0.001790055,0.9927007,0.003595315,0.0005257712],"study_design_scores_gemma":[0.00242551,0.00004637665,0.0001108544,0.00004561568,0.00004919848,0.00003373238,0.001022529,0.00000971809,0.01088134,0.9754056,0.009848072,0.0001214017],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8327625,0.006462215,0.1016673,0.02550622,0.003391962,0.002924548,0.0001350272,0.0003727352,0.02677745],"genre_scores_gemma":[0.99635,0.0001403455,0.0009085994,0.0005388544,0.00006316652,0.00004757054,0.00000239763,0.00003066676,0.001918419],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1635874,"threshold_uncertainty_score":0.5337597,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4220799029","doi":"10.1007/s00233-021-10248-0","title":"Levi-Civita functional equations and the status of spectral synthesis on semigroups-II","year":2022,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Functional Equations Stability Results","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":"University of Waterloo","funders":"","keywords":"Mathematics; Prime (order theory); Commutative property; Semigroup; Pure mathematics; Ideal (ethics); Prime ideal; Element (criminal law); Algebra over a field; Spectral properties; Combinatorics; Law","retraction":null,"screen_n_in":null,"score":{"opus":0.04178086187721122,"gpt":0.2661747514981081,"spread":0.2243938896208969,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001019274,0.0001925943,0.0003076324,0.0001493408,0.00102511,0.00002328717,0.0001960053,0.00004986134,0.001053024],"category_scores_gemma":[0.004112337,0.0001495108,0.0001825677,0.0004087682,0.0002841416,0.0001197891,0.0003150926,0.0003471069,0.00001283876],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003056195,"about_ca_system_score_gemma":0.0001484294,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002035639,"about_ca_topic_score_gemma":0.0002547452,"domain_scores_codex":[0.9975631,0.0002901405,0.0004997611,0.0003432577,0.0008020011,0.0005017983],"domain_scores_gemma":[0.9923581,0.006669005,0.0002396024,0.0005398938,0.00009378592,0.00009964181],"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":[0.0009185033,0.0005724173,0.001541402,0.00005436908,0.0001612707,0.000001200802,0.001373788,0.001632953,0.0006409219,0.9762959,0.01530242,0.001504832],"study_design_scores_gemma":[0.006064045,0.001235186,0.01264777,0.00009009369,0.0004450096,0.0000686675,0.01170887,0.02437196,0.001542115,0.909946,0.03108542,0.0007948597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9467496,0.0005659675,0.008442189,0.01731704,0.0009286486,0.001791462,0.001410156,0.0002342073,0.0225607],"genre_scores_gemma":[0.9964224,0.00002097613,0.0008445033,0.0002433168,0.00007780011,0.0003767207,0.00005665276,0.00003089907,0.001926795],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06634992,"threshold_uncertainty_score":0.9998602,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2054095765","doi":"10.1007/s00233-002-0012-6","title":"Irreducible semigroups of matrices with eigenvalue one","year":2003,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":5,"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; Semigroup; Eigenvalues and eigenvectors; Special classes of semigroups; Matrix (chemical analysis); Pure mathematics; Property (philosophy); Algebra over a field; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.009478759869795184,"gpt":0.2129731526166595,"spread":0.2034943927468643,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005656586,0.0001950214,0.0002781574,0.0001443135,0.0001296193,0.00006849346,0.0007563255,0.00007858362,0.00009106207],"category_scores_gemma":[0.00003398726,0.0001613857,0.00008640983,0.0007933599,0.00008188191,0.000531351,0.000119304,0.000147607,0.00005928385],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002537467,"about_ca_system_score_gemma":0.00008274701,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004055368,"about_ca_topic_score_gemma":0.00001487585,"domain_scores_codex":[0.9983153,0.0001045293,0.0002926741,0.0004323771,0.0003743896,0.0004806981],"domain_scores_gemma":[0.9987117,0.0001083559,0.0001821493,0.0007957131,0.00007702618,0.0001250605],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00002458546,0.0002945791,0.002209904,0.00009671898,0.00007532471,0.00001885955,0.000672271,0.0003575578,0.004647637,0.9835054,0.001496204,0.006601005],"study_design_scores_gemma":[0.003539387,0.002188906,0.001465806,0.000547368,0.0001338499,0.0005186789,0.00213642,0.01356856,0.6701336,0.229233,0.07434641,0.002187955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1825706,0.002764714,0.7526726,0.0007511563,0.0006349608,0.0005581068,0.00001766524,0.000418992,0.05961116],"genre_scores_gemma":[0.9243045,0.00006282505,0.07366592,0.0001863262,0.00004473588,0.00001792296,0.000003172069,0.0000209602,0.001693607],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7542723,"threshold_uncertainty_score":0.6581119,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2024425953","doi":"10.1007/s00233-006-0604-7","title":"The Intersection of Pseudovarieties of Central Simple Semigroups","year":2006,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Intersection (aeronautics); Mathematics; Simple (philosophy); Algebra over a field; Pure mathematics; Epistemology; Geography; Philosophy","retraction":null,"screen_n_in":null,"score":{"opus":0.003499309159305737,"gpt":0.1920900759855274,"spread":0.1885907668262216,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004264768,0.0001696484,0.0002360849,0.00006421588,0.0001836369,0.00006942943,0.000963974,0.00008539361,0.00001336129],"category_scores_gemma":[0.00003686071,0.0001229783,0.0001843013,0.0003975782,0.0002124421,0.0003758316,0.0003073347,0.0001293676,0.000005682815],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005461972,"about_ca_system_score_gemma":0.00004606224,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007843119,"about_ca_topic_score_gemma":0.0002898314,"domain_scores_codex":[0.998302,0.00007532791,0.00051566,0.0002681587,0.0003372942,0.0005015832],"domain_scores_gemma":[0.9985963,0.0002557597,0.0003122535,0.0006971372,0.00009225561,0.00004629992],"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":[0.00003415811,0.0001143572,0.007593885,0.00003855284,0.00003836676,0.000002627387,0.0005883642,0.0002003805,0.02542093,0.9319226,0.01590063,0.01814517],"study_design_scores_gemma":[0.001276128,0.0006275647,0.04914125,0.0001468903,0.00004427422,0.00008661898,0.003844444,0.06754415,0.2625308,0.5776789,0.03633817,0.0007408538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6656157,0.001020087,0.3235588,0.0009244781,0.001133087,0.0002952547,0.0000232001,0.0002579301,0.007171488],"genre_scores_gemma":[0.997457,0.00001960206,0.001986555,0.00007196233,0.00008237296,0.000009277448,0.000009303239,0.00001327095,0.0003507129],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3542437,"threshold_uncertainty_score":0.501491,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2952359548","doi":"10.1007/s00233-019-10027-y","title":"Hausdorff tight groupoids generalised","year":2019,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"Universidade Federal de Santa Catarina","keywords":"Hausdorff space; Duality (order theory); Inverse; Property (philosophy); Algebra over a field; Locally compact space","retraction":null,"screen_n_in":null,"score":{"opus":0.01617007991442024,"gpt":0.2768228193369414,"spread":0.2606527394225212,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003139114,0.0002465972,0.0004054506,0.00009763591,0.0001123884,0.00002136124,0.0004063433,0.0003303873,0.003698699],"category_scores_gemma":[0.00008675937,0.0002171168,0.000168939,0.0001651524,0.0001267934,0.0001323811,0.0001510443,0.0003096464,0.001698029],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005284673,"about_ca_system_score_gemma":0.0000385424,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003357287,"about_ca_topic_score_gemma":0.00008131535,"domain_scores_codex":[0.9982412,0.0001174052,0.0003614018,0.0004067398,0.0002060766,0.0006671897],"domain_scores_gemma":[0.9987397,0.0002626682,0.0001240924,0.0007182199,0.00004080925,0.0001145765],"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":[0.00004356768,0.0001260043,0.01528407,0.00005159951,0.00009670391,0.00003780068,0.0004168715,0.000001409051,0.007433482,0.9222723,0.05304622,0.001189974],"study_design_scores_gemma":[0.002069908,0.000422596,0.001641932,0.00004127664,0.00007181353,0.000216183,0.0005329906,0.0002967917,0.01185903,0.8380697,0.1440921,0.0006857139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9325961,0.0001884959,0.001105015,0.002774552,0.001406343,0.0004490626,0.00001130338,0.0002986363,0.06117043],"genre_scores_gemma":[0.9594965,0.00001658769,0.0034307,0.001944752,0.0002172458,0.00004817353,0.00002577992,0.00005357417,0.03476667],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09104587,"threshold_uncertainty_score":0.9990793,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2975842894","doi":"10.1007/s00233-019-10065-6","title":"Analysis on semihypergroups: function spaces, homomorphisms and ideals","year":2019,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Topology and Set 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 Alberta","funders":"","keywords":"Mathematics; Homomorphism; Pure mathematics; Kernel (algebra); Dual polyhedron; Algebraic number; Algebraic structure; Relation (database); Algebra over a field; Mathematical analysis; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.01156436715887665,"gpt":0.2679710267188541,"spread":0.2564066595599774,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003366123,0.0001950593,0.00039814,0.000206262,0.0001250437,0.0000208424,0.0001079338,0.0001804071,0.0005152195],"category_scores_gemma":[0.0000856795,0.0001677992,0.0001362641,0.0003339597,0.00008554012,0.0001400842,0.0000629377,0.0002189541,0.0002101642],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003599712,"about_ca_system_score_gemma":0.000008357663,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008196103,"about_ca_topic_score_gemma":0.00004987822,"domain_scores_codex":[0.9988286,0.0000784212,0.0002231406,0.0003640258,0.000163525,0.0003422165],"domain_scores_gemma":[0.9988456,0.0004567973,0.000127884,0.0004587954,0.00002977103,0.00008109166],"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":[0.0002181514,0.000103981,0.03191026,0.0000627105,0.0006398608,0.000009190879,0.0002598037,0.00009844231,0.0009358808,0.9606305,0.002456702,0.002674489],"study_design_scores_gemma":[0.0009094827,0.0005074458,0.004697647,0.00004408559,0.0006938689,0.00002085245,0.001832497,0.0006457697,0.0005878623,0.9769847,0.01265002,0.0004258075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9707765,0.0004930993,0.01158205,0.0006081057,0.000353942,0.0003017953,0.00002115693,0.0001769366,0.01568643],"genre_scores_gemma":[0.99063,0.00005430494,0.0009767062,0.000805707,0.00005502332,0.00001443795,0.00002854602,0.00002672349,0.007408608],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02721261,"threshold_uncertainty_score":0.6842652,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2564543232","doi":"10.1007/s00233-016-9844-3","title":"Commutativity theorems for cancellative semigroups","year":2016,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Topics in Algebra","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 Manitoba","funders":"","keywords":"Mathematics; Commutative property; Unary operation; Semigroup; Cancellative semigroup; Element (criminal law); Integer (computer science); Combinatorics; Discrete mathematics; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.04148121823721523,"gpt":0.341281910272272,"spread":0.2998006920350568,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004375084,0.0002674127,0.0003620465,0.00005836732,0.0002059363,0.00001923143,0.0003544777,0.0001371377,0.0001386605],"category_scores_gemma":[0.0008992312,0.00017925,0.000168653,0.0001268153,0.0002176202,0.0002394805,0.0001479512,0.0001420431,0.00004282532],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002116194,"about_ca_system_score_gemma":0.00003832133,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001125462,"about_ca_topic_score_gemma":0.000222947,"domain_scores_codex":[0.9983459,0.00007498598,0.000345412,0.0003787228,0.0002344085,0.0006205863],"domain_scores_gemma":[0.9959178,0.002994733,0.0002267485,0.0006319102,0.0001197565,0.0001090732],"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":[0.00005560386,0.00006318682,0.001098767,0.00004755334,0.00005360667,0.000002233689,0.0004789253,6.140389e-7,0.005893909,0.9642728,0.01256476,0.01546805],"study_design_scores_gemma":[0.0009503895,0.0001135078,0.00007334152,0.0001088766,0.0000226851,0.000007062113,0.0003358902,0.0000458377,0.02613137,0.9368487,0.03507087,0.0002914567],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1463168,0.0002082261,0.8265944,0.004273476,0.0007063023,0.001390209,0.0002979562,0.0004617308,0.01975083],"genre_scores_gemma":[0.941193,0.00002895198,0.05017337,0.0003518048,0.0002327501,0.0002158194,0.000008563388,0.00008955962,0.007706189],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7948762,"threshold_uncertainty_score":0.7309602,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2041550783","doi":"10.1007/s00233-006-0644-z","title":"Sequentially Injective Hull of Acts Over Idempotent Semigroups","year":2006,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Wilfrid Laurier University","keywords":"Monomorphism; Injective function; Mathematics; Idempotence; Semigroup; Hull; Pure mathematics; Algebra over a field; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.003610763699875025,"gpt":0.2027245041182655,"spread":0.1991137404183904,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005626616,0.0003669446,0.0004596466,0.0002466143,0.0001619353,0.0001324318,0.001361331,0.0001993762,0.00006929944],"category_scores_gemma":[0.00004537262,0.0003390954,0.0002948693,0.0006903054,0.0001437277,0.0009768109,0.0006613412,0.0002624326,0.00007189964],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001330959,"about_ca_system_score_gemma":0.000108213,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007858255,"about_ca_topic_score_gemma":0.0001908821,"domain_scores_codex":[0.9970733,0.0001243769,0.0006572322,0.0007066957,0.0006351606,0.0008032627],"domain_scores_gemma":[0.9980881,0.0001871597,0.0003851091,0.00106979,0.0001344131,0.0001354389],"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":[0.00004855143,0.0004626161,0.008558997,0.00007800879,0.000115207,0.00008351036,0.0006909668,0.0005920192,0.1176506,0.8374812,0.02483934,0.009398995],"study_design_scores_gemma":[0.004271687,0.001137147,0.09273869,0.0005303976,0.0001269076,0.0003068967,0.0008344971,0.05450698,0.3184986,0.4625922,0.06165019,0.00280586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6156162,0.001437814,0.3492473,0.00144678,0.001486544,0.0007210638,0.00006403783,0.000949948,0.02903028],"genre_scores_gemma":[0.9899068,0.0000209128,0.008269204,0.0006794841,0.0001787625,0.0000230271,0.00002647916,0.00003764094,0.0008577292],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.374889,"threshold_uncertainty_score":0.9999061,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1996474115","doi":"10.1007/s00233-014-9658-0","title":"Möbius manifolds, monoids, and retracts of topological groups","year":2014,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Geometric and Algebraic Topology","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 Saskatchewan","funders":"","keywords":"Monoid; Mathematics; Manifold (fluid mechanics); Embedding; Topology (electrical circuits); Torus; Topological group; Group (periodic table); Retract; Boundary (topology); Pure mathematics; Fundamental group; Combinatorics; Mathematical analysis; Geometry; Physics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.0194811736553203,"gpt":0.2653046604070936,"spread":0.2458234867517733,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004392818,0.0001603532,0.0003766931,0.0001271504,0.00007351548,0.0000114812,0.0001808033,0.0002264974,0.0001857253],"category_scores_gemma":[0.0007215111,0.0001290547,0.00007676509,0.0002088263,0.0001651031,0.00006776971,0.0001457484,0.0001854594,0.00002172658],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001376426,"about_ca_system_score_gemma":0.00000856727,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000440028,"about_ca_topic_score_gemma":0.00002985269,"domain_scores_codex":[0.998772,0.00006792461,0.0003396378,0.0002609379,0.0001737755,0.0003856903],"domain_scores_gemma":[0.9987982,0.000583929,0.0001603318,0.0003130916,0.00003626879,0.0001081656],"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":[0.0000164404,0.0001143036,0.01797687,0.00007710674,0.00002759574,0.000007833,0.0001578459,3.261408e-7,0.0004707991,0.9667077,0.01087195,0.003571244],"study_design_scores_gemma":[0.0008054117,0.0005734977,0.02600219,0.00002937374,0.00005013547,0.0001269932,0.000711477,0.0001593104,0.001711665,0.9590536,0.01050123,0.0002751397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9827105,0.0003268478,0.003631911,0.001124544,0.0001713671,0.0001516788,0.000005875233,0.00009806525,0.01177925],"genre_scores_gemma":[0.9936614,0.000045956,0.004457344,0.0002576532,0.00009516768,0.000006098676,0.000004095024,0.00001718988,0.001455115],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01095092,"threshold_uncertainty_score":0.5262697,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2057513280","doi":"10.1007/s00233-002-0013-5","title":"Matrix semigroups with commutable rank","year":2003,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University; University of Prince Edward Island","funders":"Natural Sciences and Engineering Research Council of Canada; Colby College","keywords":"Rank (graph theory); Mathematics; Semilattice; Matrix (chemical analysis); Commutative property; Semigroup; Pure mathematics; Algebra over a field; Combinatorics; Chemistry","retraction":null,"screen_n_in":null,"score":{"opus":0.01746442071216732,"gpt":0.2625029015043998,"spread":0.2450384807922325,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005017091,0.0003427064,0.0004495061,0.0001020073,0.000285978,0.00009386933,0.0003285742,0.0001494973,0.000382364],"category_scores_gemma":[0.0001578291,0.0002743815,0.0001339448,0.0003005085,0.0001059093,0.0002874005,0.0000674537,0.0003311069,0.0002118474],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007764642,"about_ca_system_score_gemma":0.00005669553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006325245,"about_ca_topic_score_gemma":0.0002260259,"domain_scores_codex":[0.9979295,0.00009414045,0.0003791862,0.0003917501,0.0003937961,0.0008116861],"domain_scores_gemma":[0.9985157,0.0002593088,0.0001696314,0.0008100776,0.00007174899,0.0001735264],"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":[0.00008394962,0.0004352499,0.01713693,0.0002660667,0.0001831997,0.00006137799,0.001064128,0.0000262057,0.002261324,0.8625887,0.1151812,0.0007116164],"study_design_scores_gemma":[0.004520262,0.0005701404,0.0005753352,0.0004441821,0.0002385371,0.0005733799,0.004603397,0.0002825842,0.03511926,0.5396647,0.4117049,0.001703289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8903943,0.001315003,0.0147297,0.0008618847,0.0004283475,0.0008264342,0.00002464767,0.00066302,0.09075664],"genre_scores_gemma":[0.9627846,0.00005940859,0.02223724,0.0004544159,0.0001089628,0.00005787805,0.00001536799,0.0001239524,0.01415817],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.322924,"threshold_uncertainty_score":0.9999709,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1683991801","doi":"10.1007/s00233-015-9725-1","title":"Growth degree classification for finitely generated semigroups of integer matrices","year":2015,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Integer (computer science); Degree (music); Finitely-generated abelian group; Product (mathematics); Norm (philosophy); Discrete mathematics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.07655738515433512,"gpt":0.2746865109959313,"spread":0.1981291258415962,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009367362,0.0002785042,0.0003682153,0.0002680392,0.0001124076,0.0001328065,0.0013412,0.0001862529,0.000009931072],"category_scores_gemma":[0.000282232,0.0002440985,0.0001746523,0.0008177563,0.00009058778,0.0008483453,0.0002805353,0.0001510814,0.00005097486],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009154013,"about_ca_system_score_gemma":0.0001433807,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008709244,"about_ca_topic_score_gemma":0.00002619348,"domain_scores_codex":[0.9977926,0.00009576455,0.0005854254,0.0005647485,0.0004139148,0.0005475724],"domain_scores_gemma":[0.9978002,0.0003110311,0.0003803858,0.0007806686,0.0005119051,0.000215816],"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":[0.0001387841,0.0003541599,0.004895739,0.0001644704,0.0001184568,0.000008747503,0.001981245,0.00009549735,0.03245241,0.8102182,0.1017113,0.04786108],"study_design_scores_gemma":[0.00444136,0.001486275,0.004745994,0.0002750401,0.0001139235,0.0001078929,0.003344466,0.6112829,0.1079142,0.2175969,0.04691422,0.001776721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09348585,0.001449297,0.8972132,0.002139068,0.0009863153,0.000638372,0.00006227772,0.0005326002,0.003493061],"genre_scores_gemma":[0.9505467,0.0000476017,0.04794956,0.0005886895,0.0001575923,0.0001040196,0.00007729711,0.00003752428,0.0004909611],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8570609,"threshold_uncertainty_score":0.9954047,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2038070132","doi":"10.1007/s00233-013-9491-x","title":"On finite-dimensional representations of compact inverse semigroups","year":2013,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"University of Ottawa","keywords":"Mathematics; Inverse semigroup; Representation (politics); Bounded function; Semigroup; Inverse; Bicyclic semigroup; Pure mathematics; Inverse element; Algebra over a field; Discrete mathematics; Special classes of semigroups; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.0376776481261124,"gpt":0.3415155346798582,"spread":0.3038378865537458,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002301484,0.0002080719,0.0003224487,0.0001913929,0.0001405239,0.00002917329,0.0002939944,0.0001067316,0.001651514],"category_scores_gemma":[0.001333343,0.0001797325,0.0001406397,0.0003732454,0.0001579862,0.0003233422,0.0001294283,0.0003304665,0.0005999709],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008644315,"about_ca_system_score_gemma":0.00005757689,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001931586,"about_ca_topic_score_gemma":0.0001025524,"domain_scores_codex":[0.9980074,0.0001068372,0.0004407979,0.0003275489,0.0006263054,0.0004911021],"domain_scores_gemma":[0.9967006,0.002023033,0.0001505767,0.0006994194,0.0002364022,0.0001899417],"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":[0.000118133,0.0008751696,0.01062575,0.0001565897,0.0001745916,0.00002136784,0.0009116782,0.003373653,0.03308019,0.295422,0.6544593,0.0007815541],"study_design_scores_gemma":[0.002441016,0.000731447,0.003716143,0.0002965974,0.00004599042,0.00002368901,0.002656891,0.02508767,0.04901637,0.9131101,0.002135404,0.0007387145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9837269,0.00003879418,0.001415854,0.001575321,0.0001488374,0.000875,0.00005752506,0.0001369336,0.01202484],"genre_scores_gemma":[0.9876309,0.000005263491,0.007662456,0.0004141656,0.00004347109,0.00005315521,0.00003698421,0.00005427334,0.00409932],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6523239,"threshold_uncertainty_score":0.9992611,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2073003100","doi":"10.1007/s002330010066","title":"Tensor products and preservation of limits, for acts over monoids","year":2001,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Functor; Mathematics; Limit (mathematics); Monoid; Pure mathematics; Flatness (cosmology); Tensor product; Algebra over a field; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.01675943426891751,"gpt":0.2425716944526576,"spread":0.2258122601837401,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003078306,0.0001343091,0.0001791785,0.00008280099,0.00008612349,0.00006430021,0.0004237962,0.00007315851,0.000004867013],"category_scores_gemma":[0.0001566972,0.0001171306,0.00004614704,0.0002888975,0.00004317144,0.0008986765,0.0001556455,0.00006198246,0.000002991203],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001602513,"about_ca_system_score_gemma":0.00002793898,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002394387,"about_ca_topic_score_gemma":0.00001009126,"domain_scores_codex":[0.9988817,0.00002432557,0.0002267681,0.0003657674,0.0001730434,0.0003284035],"domain_scores_gemma":[0.9990641,0.0001324106,0.0001265112,0.0005085789,0.0001058151,0.00006262156],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001812791,0.0003974933,0.04981399,0.0003833902,0.00009935563,0.000008097732,0.002125479,0.00006588631,0.1479158,0.6358727,0.03394852,0.129188],"study_design_scores_gemma":[0.003556015,0.001299935,0.1810112,0.0002855737,0.0000601913,0.00009554046,0.0004558634,0.2058836,0.1581653,0.1302629,0.3177313,0.001192483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9055508,0.0009644032,0.0862738,0.004954156,0.0003480009,0.0007070767,0.00001450367,0.0002131282,0.0009741278],"genre_scores_gemma":[0.9796067,0.0001073618,0.01826005,0.0004543949,0.000101937,0.00004218054,0.00001105308,0.00001679086,0.001399472],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5056098,"threshold_uncertainty_score":0.4776448,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2197677717","doi":"10.1007/s00233-017-9858-5","title":"Inverse semigroup shifts over countable alphabets","year":2017,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Cellular Automata and Applications","field":"Computer Science","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 Ottawa","funders":"","keywords":"Inverse semigroup; Semigroup; Inverse; Countable set; Inverse element; Bicyclic semigroup; Cancellative semigroup; Special classes of semigroups; Second-countable space","retraction":null,"screen_n_in":null,"score":{"opus":0.01281479727858595,"gpt":0.2582553940257596,"spread":0.2454405967471737,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002564968,0.0002137412,0.0002083477,0.00006755491,0.001005562,0.000757309,0.002376881,0.0001163797,0.00009645252],"category_scores_gemma":[0.0000349342,0.0002097869,0.0001221298,0.0001404082,0.0001133021,0.001496819,0.0009441047,0.0001833268,0.0006900568],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006943769,"about_ca_system_score_gemma":0.00006355455,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004667189,"about_ca_topic_score_gemma":0.0005918244,"domain_scores_codex":[0.9982401,0.00002060265,0.0002373022,0.0005540783,0.0003528182,0.0005951691],"domain_scores_gemma":[0.9970589,0.00004549942,0.0002131157,0.002445179,0.00004722396,0.0001901226],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001053054,0.0003541575,0.03664393,0.00005600064,0.00009520256,0.00007761241,0.0009286449,0.00003460554,0.03138257,0.5409411,0.3504293,0.03904635],"study_design_scores_gemma":[0.001050619,0.00006754691,0.04832191,0.0000624964,0.00002458505,0.00002979386,0.0001000235,0.08436698,0.00860211,0.01630278,0.8403341,0.000737022],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4876128,0.0008746946,0.3403358,0.01134057,0.002633797,0.00135641,0.0001010666,0.001897616,0.1538472],"genre_scores_gemma":[0.9833981,0.00004423521,0.007479188,0.001542399,0.0001359235,0.0000691035,0.00002797402,0.00002806221,0.007274965],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5246383,"threshold_uncertainty_score":0.8869513,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1785402642","doi":"10.1007/s00233-009-9135-3","title":"Walter Douglas Munn","year":2009,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Academic and Historical Perspectives in Psychology","field":"Psychology","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics; Arithmetic","retraction":null,"screen_n_in":null,"score":{"opus":0.01337017610680809,"gpt":0.3355498616273691,"spread":0.322179685520561,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0001449491,0.0001906089,0.000238078,0.0001086971,0.0001359208,0.00000958455,0.0003868317,0.0003485827,0.003290337],"category_scores_gemma":[0.00002660451,0.000175237,0.0001328597,0.0002119764,0.0001386278,0.00008537609,0.00003656721,0.0005716096,0.00274075],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001397335,"about_ca_system_score_gemma":0.00000899992,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000042242,"about_ca_topic_score_gemma":0.000003616903,"domain_scores_codex":[0.9983999,0.00006611227,0.0002721756,0.0004832351,0.0001439643,0.0006346766],"domain_scores_gemma":[0.9991764,0.00005993253,0.00008330292,0.0005141038,0.00002818513,0.0001380167],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00009845181,0.000174891,0.001982733,0.000001047659,0.00003190638,0.00002960317,0.002481898,4.134713e-7,0.0002670099,0.3324076,0.641198,0.02132646],"study_design_scores_gemma":[0.0007718304,0.0004207691,0.01906244,0.000006932254,0.00001810548,0.00009100849,0.001143281,0.000006951721,0.00002015928,0.05409147,0.9240851,0.0002819473],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.01607563,0.003352275,0.003952234,0.007479667,0.005593744,0.0001958698,0.000007121478,0.0002802892,0.9630632],"genre_scores_gemma":[0.9339585,0.00004304601,0.0004323932,0.01167214,0.001104814,0.00001733184,0.000008597007,0.00002521629,0.05273794],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.9178829,"threshold_uncertainty_score":0.9980357,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2092797839","doi":"10.1007/s00233-012-9398-y","title":"Regular principal factors in free objects in Rees-Sushkevich varieties","year":2012,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Bipartite graph; Semigroup; Variety (cybernetics); Simple (philosophy); Word problem (mathematics education); Krohn–Rhodes theory; Word (group theory); Graph; Pure mathematics; Free product; Special classes of semigroups; Algebra over a field; Discrete mathematics; Combinatorics; Group (periodic table); Arithmetic; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.01275422241048359,"gpt":0.2331496639116602,"spread":0.2203954415011766,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004034255,0.0002010834,0.0002371505,0.0001939956,0.00006410859,0.00004679439,0.0009266104,0.0001397727,0.00001643293],"category_scores_gemma":[0.0001359093,0.0001782619,0.00006254708,0.0006478453,0.00005402165,0.001281936,0.0005856964,0.000299172,0.00002750317],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001216913,"about_ca_system_score_gemma":0.0000376228,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001384675,"about_ca_topic_score_gemma":0.0007894638,"domain_scores_codex":[0.9980977,0.00008132357,0.0002826002,0.0003437558,0.0002744755,0.0009201291],"domain_scores_gemma":[0.9988843,0.0001040239,0.000075841,0.0007868303,0.0000194029,0.0001296295],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.00001195448,0.0002267495,0.5410997,0.00003336322,0.000008888169,0.00003827331,0.006584433,0.0002282408,0.0005344758,0.4459711,0.001184044,0.004078738],"study_design_scores_gemma":[0.002111964,0.0003308271,0.5822346,0.0001728404,0.000008168025,0.0000551435,0.003191136,0.004140834,0.009775965,0.356775,0.03980855,0.001394927],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9301291,0.003574523,0.05462442,0.001472876,0.00158856,0.0004154792,0.000004323756,0.000286362,0.007904407],"genre_scores_gemma":[0.9922795,0.00002638595,0.006571089,0.0002999913,0.00007273427,0.00002059432,0.000004114145,0.00001374566,0.0007117907],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08919608,"threshold_uncertainty_score":0.726931,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1965168466","doi":"10.1007/s002330010136","title":"Absolutely annihilator-flat monoids","year":2002,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annihilator; Mathematics; Monoid; Flatness (cosmology); Pure mathematics; Ideal (ethics); Combinatorics; Algebra over a field; Philosophy; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.01338994140900636,"gpt":0.2026683342984262,"spread":0.1892783928894198,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000249077,0.0002614626,0.0002443248,0.0001361348,0.0002377442,0.0002268007,0.001397027,0.0001379118,0.0003030133],"category_scores_gemma":[0.000026883,0.0002405456,0.0002152355,0.0004950675,0.00006867004,0.000943083,0.0004548089,0.0002235119,0.001520941],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005593248,"about_ca_system_score_gemma":0.00001161033,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002138397,"about_ca_topic_score_gemma":0.000006860675,"domain_scores_codex":[0.9979525,0.00004744107,0.0003112162,0.0005713518,0.0003523663,0.000765171],"domain_scores_gemma":[0.9984652,0.00008670966,0.0001023549,0.001097928,0.00004219041,0.0002056317],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000007616587,0.0001843666,0.002205734,0.00002870809,0.00008665481,0.0001283629,0.001778247,0.00004811425,0.006424782,0.4182086,0.393561,0.1773378],"study_design_scores_gemma":[0.001296204,0.0003534812,0.002735156,0.00009075274,0.00002584052,0.0002503006,0.0003079703,0.3774232,0.01050105,0.05690435,0.5486128,0.001498939],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2541479,0.01656133,0.4775039,0.02999165,0.005723854,0.001153828,0.00004668968,0.006419675,0.2084512],"genre_scores_gemma":[0.9802245,0.0001026553,0.009616624,0.00285947,0.0001873691,0.00002312973,0.000004306974,0.00003425248,0.006947638],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7260766,"threshold_uncertainty_score":0.9992565,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3198316285","doi":"10.1007/s00233-021-10224-8","title":"Toposes for semigroups: an invitation","year":2021,"lang":"en","type":"article","venue":"Semigroup Forum","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":"University of Ottawa","funders":"","keywords":"Topos theory; Mathematics; Inverse semigroup; Homomorphism; Morphism; Sheaf; Algebra over a field; Semigroup; Category theory; Pure mathematics; Sheaf cohomology; Cohomology; Equivariant cohomology","retraction":null,"screen_n_in":null,"score":{"opus":0.08331989001513608,"gpt":0.4214374046340592,"spread":0.3381175146189231,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003397093,0.0001776183,0.0002444302,0.00007026277,0.0002141869,0.00008689203,0.0002178937,0.0001229112,0.0001454249],"category_scores_gemma":[0.001264396,0.000175238,0.0001111347,0.0002758111,0.00004558583,0.0005211904,0.0001047545,0.0001705627,0.00003140681],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001021832,"about_ca_system_score_gemma":0.0001024502,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006463625,"about_ca_topic_score_gemma":0.0003911871,"domain_scores_codex":[0.9983397,0.000087464,0.0002973501,0.0004114543,0.0003241897,0.000539858],"domain_scores_gemma":[0.9982748,0.0006082264,0.00006901963,0.0005513197,0.0003404143,0.0001561949],"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":[0.0001319523,0.0006839422,0.002594472,0.0004353898,0.00011467,0.00005451005,0.002085715,0.00004214163,0.1044897,0.8089689,0.05279095,0.02760768],"study_design_scores_gemma":[0.001304307,0.0004003366,0.0001972779,0.00007817391,0.00003884785,0.00004526546,0.006897396,0.001867535,0.1419542,0.7952942,0.05142338,0.0004990237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8652373,0.0007436581,0.1239684,0.004021049,0.0005095723,0.00134475,0.0001428302,0.0004768277,0.003555583],"genre_scores_gemma":[0.6817203,0.00006370818,0.3057309,0.002087722,0.0005039425,0.0004797759,0.0003819217,0.0001958665,0.008835814],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.183517,"threshold_uncertainty_score":0.7145998,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1968402392","doi":"10.1007/s00233-006-0663-9","title":"Null Extensions and Generalized Inflations of Brandt Semigroups","year":2007,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","field":"Computer Science","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 Lethbridge; Carleton University","funders":"","keywords":"Semigroup; Mathematics; Null (SQL); Extension (predicate logic); Associative property; Pure mathematics; Inflation (cosmology); Bicyclic semigroup; Cancellative semigroup; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.006394366323752306,"gpt":0.2311395756814998,"spread":0.2247452093577474,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007871016,0.0002102865,0.00030285,0.000221052,0.0002094293,0.00006755917,0.0005443204,0.0001300642,0.00003086168],"category_scores_gemma":[0.00008031529,0.0001897521,0.0001187613,0.0005316163,0.0001336318,0.0005458425,0.0003910327,0.0001595679,0.00001796939],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002518793,"about_ca_system_score_gemma":0.00003336351,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001042416,"about_ca_topic_score_gemma":0.0001064543,"domain_scores_codex":[0.9982185,0.00004985827,0.0004917546,0.000418387,0.0002943962,0.0005270596],"domain_scores_gemma":[0.9984669,0.0003341661,0.0001831565,0.000724606,0.00009909669,0.0001920856],"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":[0.00005296592,0.0001900124,0.01172452,0.0000456762,0.00006745478,0.00004616233,0.001419994,0.0000596054,0.09517289,0.8263596,0.00559999,0.05926114],"study_design_scores_gemma":[0.009515871,0.001286772,0.2833861,0.0006829969,0.0001903746,0.0009322505,0.002358691,0.1177054,0.1337501,0.3319762,0.1147434,0.00347177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.670173,0.001203869,0.3233099,0.001023273,0.0004379073,0.0002426715,0.00001283109,0.0002980124,0.003298525],"genre_scores_gemma":[0.968696,0.00009305272,0.02990119,0.0008115704,0.0000736845,0.000007180119,0.00000951607,0.00001942359,0.0003883576],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4943834,"threshold_uncertainty_score":0.7737867,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2036700299","doi":"10.1007/s00233-015-9711-7","title":"Permutation of elements in double semigroups","year":2015,"lang":"en","type":"preprint","venue":"Semigroup Forum","topic":"Algebraic structures and combinatorial models","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 Saskatchewan","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Commutative property; Associative property; Permutation (music); Mathematical proof; Mathematics; Degree (music); Property (philosophy); Relation (database); Discrete mathematics; Semigroup; Combinatorics; Pure mathematics; Computer science; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.05772107058903316,"gpt":0.3401705398828128,"spread":0.2824494692937796,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005716761,0.0003605461,0.0006999542,0.0002015599,0.00003228614,0.00003344309,0.0005014595,0.0005127938,0.00007226758],"category_scores_gemma":[0.0001140078,0.0003492017,0.0001883461,0.0001765488,0.00004650758,0.00009636799,0.0007599879,0.0005906,0.000006667398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002774223,"about_ca_system_score_gemma":0.0001966414,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004355764,"about_ca_topic_score_gemma":0.0002848242,"domain_scores_codex":[0.9975329,0.00006457945,0.0009105733,0.0004684859,0.000589389,0.0004340541],"domain_scores_gemma":[0.9983016,0.00009094098,0.0006175306,0.0007000243,0.0001912998,0.00009862051],"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":[0.0002769421,0.0002823202,0.009253048,0.0009378125,0.000167194,0.00001147235,0.003607732,0.000479189,0.0001876424,0.9726388,0.01109186,0.001066019],"study_design_scores_gemma":[0.001648648,0.00006954949,0.0001788383,0.0003118683,0.00005441965,0.000002786049,0.0006327557,0.0008262079,0.0008913855,0.9946198,0.000435888,0.000327895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9916263,0.0004046623,0.0004785057,0.0001544634,0.001683729,0.0008720784,0.00003843841,0.00007662586,0.004665162],"genre_scores_gemma":[0.9974371,0.00002737655,0.001516011,0.00003808055,0.0001600759,0.00009926033,0.0001138395,0.00006169486,0.0005465201],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02198099,"threshold_uncertainty_score":0.999896,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2262667294","doi":"10.1007/s00233-016-9797-6","title":"Matrix semigroups whose ring commutators have real spectra are realizable","year":2016,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Topics in Algebra","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":"University of Waterloo; Saint Mary's University","funders":"","keywords":"Mathematics; Pure mathematics; Ring (chemistry); Matrix (chemical analysis); Property (philosophy); Special classes of semigroups; Algebra over a field; Semigroup; Matrix ring; Invertible matrix","retraction":null,"screen_n_in":null,"score":{"opus":0.02617944717515124,"gpt":0.3196386384691841,"spread":0.2934591912940329,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000462838,0.0004566979,0.0005874502,0.0001624306,0.0003056483,0.00006627806,0.0006396051,0.0002721679,0.0002755793],"category_scores_gemma":[0.0004559898,0.000351461,0.0002196529,0.0002292016,0.0001839395,0.0004750697,0.0003822429,0.0003630122,0.0002117016],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004498475,"about_ca_system_score_gemma":0.00004225048,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000127851,"about_ca_topic_score_gemma":0.0007672323,"domain_scores_codex":[0.9969959,0.0001030867,0.000672829,0.0006048425,0.0005230968,0.001100225],"domain_scores_gemma":[0.9970858,0.0007613014,0.0004454037,0.001353181,0.0001009919,0.0002533291],"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":[0.00006576792,0.0001878117,0.03398984,0.000172851,0.0001134319,0.0001377607,0.0007259453,0.000004137511,0.005354794,0.9230729,0.0335975,0.002577315],"study_design_scores_gemma":[0.001397263,0.0001152237,0.0008345367,0.0006377682,0.00006504149,0.00009400505,0.001772872,0.00009530789,0.01739568,0.9456654,0.03115581,0.0007710666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7951515,0.0007557214,0.09797177,0.005127791,0.001527585,0.001513964,0.0002746843,0.002223636,0.09545334],"genre_scores_gemma":[0.9236008,0.0005074612,0.04906196,0.0003010338,0.0006548252,0.0000915436,0.00002015408,0.000295796,0.02546644],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1284493,"threshold_uncertainty_score":0.9998937,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2790002386","doi":"10.1007/s00233-018-9920-y","title":"Coordinatizing some concrete MV algebras and a decomposition theorem","year":2018,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Algebra and Logic","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":"University of Ottawa","funders":"","keywords":"Mathematics; Algebra over a field; Decomposition; Decomposition theorem; Pure mathematics; Discrete mathematics; Arithmetic","retraction":null,"screen_n_in":null,"score":{"opus":0.007275667733585811,"gpt":0.2506468593327832,"spread":0.2433711915991974,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001774295,0.0001477553,0.000152028,0.00007108589,0.0002973593,0.0001231151,0.0003739778,0.00006517223,0.00001529304],"category_scores_gemma":[0.00002493795,0.0001285415,0.00004208096,0.0001919974,0.0001740178,0.0008983008,0.0003074323,0.0001063943,0.00007299703],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002852371,"about_ca_system_score_gemma":0.00001538864,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007982101,"about_ca_topic_score_gemma":0.000006742356,"domain_scores_codex":[0.9988847,0.00004514177,0.0001596902,0.0003759999,0.0001429571,0.0003914524],"domain_scores_gemma":[0.9993416,0.00009476444,0.00007768366,0.0003280089,0.00005235173,0.0001056032],"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":[0.000007937461,0.000004279949,0.0005193701,0.00000593574,0.00001031854,0.00001074066,0.0003930299,7.546971e-7,0.01007207,0.9667197,0.000722989,0.0215329],"study_design_scores_gemma":[0.0009437777,0.0007089966,0.002386977,0.00007683028,0.00001355898,0.0002003317,0.0002728482,0.02688778,0.03238825,0.9235843,0.0119545,0.0005818561],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4276694,0.000883256,0.5627989,0.002735359,0.0005528209,0.0002278385,0.000003525762,0.0003986488,0.004730207],"genre_scores_gemma":[0.9761107,0.00002377268,0.0213504,0.002188015,0.0001703248,0.000009641438,0.000003507792,0.00001087165,0.0001327464],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5484413,"threshold_uncertainty_score":0.5241769,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1966302050","doi":"10.1007/s00233-003-0008-x","title":"Equalizers and Flatness Properties of Acts, II","year":2004,"lang":"en","type":"article","venue":"Semigroup Forum","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":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Flatness (cosmology); Functor; Homomorphism; Pure mathematics; Morphism; Annihilator; Monoid; Quotient; Commutative property; Torsion (gastropod); Algebra over a field","retraction":null,"screen_n_in":null,"score":{"opus":0.01178133018524782,"gpt":0.2065025108227158,"spread":0.194721180637468,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002457687,0.0001456672,0.0002043924,0.0000809419,0.0001623338,0.00005506791,0.0005421682,0.0000680669,0.00000489609],"category_scores_gemma":[0.00002993708,0.000115125,0.00005537412,0.0002194909,0.0001317467,0.0005504595,0.0005253869,0.00008624126,0.000007993458],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002706656,"about_ca_system_score_gemma":0.00004936807,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008142574,"about_ca_topic_score_gemma":0.00001534604,"domain_scores_codex":[0.9989121,0.00002621613,0.0002286878,0.000290764,0.0002103546,0.0003318858],"domain_scores_gemma":[0.9993193,0.00002186447,0.00009541868,0.0004436547,0.00003750077,0.00008231509],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00001758514,0.0001101977,0.0003075077,0.0001006405,0.00003297637,0.000009537544,0.004272338,0.0000892657,0.1354365,0.8432717,0.000274757,0.01607694],"study_design_scores_gemma":[0.002761972,0.0007502434,0.001369114,0.0007762358,0.00002936987,0.0001560848,0.002498379,0.00660618,0.7975312,0.1702869,0.01621014,0.001024204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9455742,0.002107002,0.04772661,0.002392721,0.0002962383,0.0001858706,0.000003552369,0.0002463589,0.001467507],"genre_scores_gemma":[0.994634,0.00005260557,0.004641897,0.0003997936,0.00002432639,0.000008893875,0.000001187194,0.00001137531,0.0002259521],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6729848,"threshold_uncertainty_score":0.469466,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2061477093","doi":"10.1007/s00233-013-9483-x","title":"On commutation semigroups of dihedral groups","year":2013,"lang":"en","type":"article","venue":"Semigroup Forum","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":"Mount Saint Vincent University; Dalhousie University","funders":"","keywords":"Mathematics; Commutation; Semigroup; Dihedral group; Mathematical proof; Order (exchange); Group (periodic table); Combinatorics; Pure mathematics; Algebra over a field; Discrete mathematics; Geometry; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.004984641046770753,"gpt":0.2045335997338586,"spread":0.1995489586870878,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003514234,0.0002911355,0.0003517674,0.0002158374,0.0001682095,0.0001541642,0.0013693,0.0001421457,0.0001886955],"category_scores_gemma":[0.00007477965,0.0002537651,0.000185747,0.000518279,0.0001143298,0.001169506,0.0003870167,0.0002525788,0.0005551368],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006413976,"about_ca_system_score_gemma":0.00003063352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002121991,"about_ca_topic_score_gemma":0.00001760045,"domain_scores_codex":[0.9977883,0.000122254,0.000508771,0.0004823964,0.0004969884,0.0006013583],"domain_scores_gemma":[0.9979282,0.0004047584,0.0002636955,0.001127683,0.0001162411,0.0001594089],"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":[0.00001427537,0.0002685643,0.001735134,0.0000515631,0.00004198995,0.000007499918,0.0009925027,0.0001358654,0.01293221,0.9151765,0.02293749,0.04570638],"study_design_scores_gemma":[0.002181035,0.001299724,0.02754264,0.0003050635,0.00003457849,0.00008077898,0.00137663,0.1307167,0.03767392,0.7947434,0.002768961,0.001276604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8015712,0.0002613245,0.1820723,0.002796853,0.0007658987,0.0006280107,0.00001376484,0.0006110021,0.01127962],"genre_scores_gemma":[0.9910574,0.00001459464,0.006818045,0.0015699,0.00005813497,0.00006709696,0.00002436044,0.00002850576,0.0003619616],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1894862,"threshold_uncertainty_score":0.9999915,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1661074815","doi":"10.1007/s00233-015-9746-9","title":"Strongly productive ultrafilters on semigroups","year":2015,"lang":"en","type":"article","venue":"Semigroup Forum","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":"York University","funders":"","keywords":"Ultrafilter; Semilattice; Inverse semigroup; Semigroup; Commutative property; Special classes of semigroups; Bicyclic semigroup; Binary operation","retraction":null,"screen_n_in":null,"score":{"opus":0.01905588948330934,"gpt":0.237172902794195,"spread":0.2181170133108856,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007214227,0.0003777031,0.0003255893,0.0001995772,0.0001643446,0.0002266812,0.001573297,0.0001288467,0.00001848515],"category_scores_gemma":[0.0001627862,0.0003282586,0.0001483945,0.0005849749,0.0001147747,0.001036748,0.0003594279,0.0003460034,0.0006107223],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002001918,"about_ca_system_score_gemma":0.0001213928,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005094473,"about_ca_topic_score_gemma":0.00001333295,"domain_scores_codex":[0.9970204,0.0001335986,0.0003478497,0.0009278991,0.0006907552,0.0008795221],"domain_scores_gemma":[0.9977646,0.000130304,0.0001586806,0.001401815,0.000131978,0.000412646],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001557677,0.0006357906,0.002719478,0.00003102889,0.0001426622,0.0001370967,0.005844188,0.001354494,0.00492383,0.7085236,0.208212,0.06732005],"study_design_scores_gemma":[0.009987153,0.007287787,0.008073108,0.0006437007,0.000114015,0.0008486437,0.01706458,0.09480965,0.1372112,0.2495859,0.4679479,0.006426417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5814592,0.001359238,0.2785811,0.02144297,0.007895747,0.002018815,0.00007777919,0.00475491,0.1024102],"genre_scores_gemma":[0.9876854,0.00000890037,0.008112479,0.001785829,0.0003380725,0.00005535027,0.00002101352,0.00004345684,0.001949437],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4589377,"threshold_uncertainty_score":0.999917,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3010315955","doi":"10.1007/s00233-020-10094-6","title":"Approximate semi-amenability of Banach algebras","year":2020,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Operator Algebra Research","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":"University of Manitoba","funders":"","keywords":"Mathematics; Pure mathematics; Property (philosophy); Algebra over a field; Banach algebra; Approximation property; Banach space; Epistemology","retraction":null,"screen_n_in":null,"score":{"opus":0.0518934728457679,"gpt":0.3296913954731876,"spread":0.2777979226274197,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003514684,0.0002347586,0.0004787018,0.00005394301,0.00008949615,0.00002267444,0.0004893503,0.000125645,0.0004021577],"category_scores_gemma":[0.001294092,0.0002093908,0.0001581056,0.0004850722,0.0001697624,0.0002325238,0.0003558179,0.0003676996,0.0000651854],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008377787,"about_ca_system_score_gemma":0.0000763114,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001438333,"about_ca_topic_score_gemma":0.0000173786,"domain_scores_codex":[0.9977207,0.0001087936,0.0005311409,0.0004717561,0.0005644912,0.0006031541],"domain_scores_gemma":[0.9984381,0.0003416063,0.0001465898,0.0006428568,0.0001580929,0.0002728154],"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":[0.0005493434,0.001093764,0.04284276,0.003958971,0.0004185315,0.00006879048,0.007515538,0.0001336223,0.1718568,0.6888015,0.0718381,0.01092222],"study_design_scores_gemma":[0.002888197,0.001068285,0.0009622647,0.0001755902,0.0001013698,0.00002306085,0.006231929,0.01490869,0.3003131,0.6557983,0.01628215,0.001247054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9532909,0.0003284063,0.0320727,0.00554865,0.0001076844,0.001179543,0.00008841483,0.000375059,0.007008634],"genre_scores_gemma":[0.9840353,0.00001471163,0.0150084,0.0004829828,0.00007857876,0.00004639025,0.00001198129,0.00006528384,0.0002563798],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1284563,"threshold_uncertainty_score":0.853871,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2980486433","doi":"10.1007/s00233-020-10132-3","title":"DTC ultrafilters on groups","year":2020,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Advanced Operator Algebra Research","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":"York University","funders":"","keywords":"Ultrafilter; Conjugacy class; Abelian group; Semigroup; Finite group; Group (periodic table); Bounded function; Finitely-generated abelian group","retraction":null,"screen_n_in":null,"score":{"opus":0.07319789950178977,"gpt":0.340123326899556,"spread":0.2669254273977663,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000153852,0.0002150909,0.0002573851,0.00005383217,0.000136086,0.00004572018,0.000394519,0.00009316382,0.0003528573],"category_scores_gemma":[0.0006774748,0.0001887207,0.0001149931,0.0003083553,0.00006758671,0.0001780351,0.0001236922,0.0004143804,0.0007919853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007627149,"about_ca_system_score_gemma":0.00002854874,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003392153,"about_ca_topic_score_gemma":0.00001064542,"domain_scores_codex":[0.9981913,0.00005926697,0.0002562295,0.0003985566,0.0004941797,0.0006004639],"domain_scores_gemma":[0.9988557,0.0003354372,0.00005568269,0.0004007678,0.00004824615,0.000304228],"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":[0.0004092697,0.0003253158,0.002641079,0.0002902907,0.0001381069,0.0001723087,0.003321168,0.00009876981,0.03762463,0.7262772,0.2187123,0.009989578],"study_design_scores_gemma":[0.007869749,0.00486059,0.0009129298,0.0004130876,0.0001123977,0.00007713097,0.01250364,0.007475692,0.2363537,0.4986378,0.2275781,0.003205138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9005764,0.0001909155,0.02068305,0.03433844,0.000455332,0.001485735,0.00008666295,0.001206801,0.04097671],"genre_scores_gemma":[0.9895306,0.00001557453,0.005041795,0.004328731,0.0002275884,0.00004116129,0.00001220823,0.00008313878,0.0007191686],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2276394,"threshold_uncertainty_score":0.999986,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2018499374","doi":"10.1007/s00233-013-9487-6","title":"Semigroups of partial isometries","year":2013,"lang":"en","type":"preprint","venue":"Semigroup Forum","topic":"Advanced Operator Algebra Research","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":"University of Waterloo","funders":"","keywords":"Mathematics; Semigroup; Hilbert space; Pure mathematics; Unitary state; Special classes of semigroups; Self-adjoint operator; Space (punctuation); Operator (biology); Square-integrable function; Unitary operator; Bicyclic semigroup; Cancellative semigroup","retraction":null,"screen_n_in":null,"score":{"opus":0.05389358903809963,"gpt":0.3570923037310231,"spread":0.3031987146929235,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006689186,0.0005884676,0.001206619,0.000454293,0.0001219001,0.000105622,0.00115405,0.0007265775,0.000928388],"category_scores_gemma":[0.001637081,0.000538017,0.0004404091,0.0004890992,0.0003329272,0.0002488871,0.002697548,0.001452548,0.0002071775],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001997489,"about_ca_system_score_gemma":0.0002358649,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001663311,"about_ca_topic_score_gemma":0.0000592613,"domain_scores_codex":[0.9958914,0.0001718101,0.001048665,0.0007927624,0.001081836,0.001013539],"domain_scores_gemma":[0.996183,0.0008450248,0.0005150888,0.001758917,0.0004469746,0.0002509484],"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":[0.0002769062,0.001443107,0.01977735,0.007613651,0.001459233,0.00006748622,0.003859209,0.0003638563,0.01210025,0.7144753,0.2238207,0.01474296],"study_design_scores_gemma":[0.000916504,0.0003076108,0.0002540527,0.0008165604,0.0001397028,0.00001583297,0.001538915,0.00159726,0.07619685,0.9028333,0.01417186,0.001211489],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9660775,0.002667585,0.01870052,0.00107111,0.001360662,0.002681537,0.0003945244,0.0004889885,0.006557574],"genre_scores_gemma":[0.9630617,0.0003067967,0.03066412,0.0001127284,0.0004215846,0.0004685543,0.0001012744,0.0002286231,0.004634636],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2096488,"threshold_uncertainty_score":0.9999849,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2993845873","doi":"10.1007/s00233-020-10149-8","title":"Locally Hausdorff tight groupoids generalised","year":2021,"lang":"en","type":"preprint","venue":"Semigroup Forum","topic":"Advanced Operator Algebra Research","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":"Carleton University","funders":"","keywords":"Hausdorff space; Mathematics; Hausdorff measure; Pure mathematics; Hausdorff dimension","retraction":null,"screen_n_in":null,"score":{"opus":0.04880620594635215,"gpt":0.3491481872926442,"spread":0.300341981346292,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007361049,0.0008685236,0.001198181,0.000266295,0.0002721696,0.0004417644,0.001424319,0.001026124,0.001243339],"category_scores_gemma":[0.000729275,0.0008405559,0.0006001357,0.0004235756,0.0002110899,0.00028572,0.003686673,0.002420174,0.0001616846],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005506792,"about_ca_system_score_gemma":0.0006151177,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001107906,"about_ca_topic_score_gemma":0.0006066445,"domain_scores_codex":[0.994393,0.0003316693,0.0009866265,0.001471909,0.001347738,0.001469063],"domain_scores_gemma":[0.9957575,0.0003891471,0.0003273933,0.002543637,0.0005326785,0.000449642],"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":[0.0005684596,0.002998686,0.005604835,0.008778193,0.003350068,0.0039287,0.006602298,0.002795023,0.06250574,0.4287597,0.4476066,0.02650172],"study_design_scores_gemma":[0.005887107,0.0005741309,0.0005296369,0.003532558,0.0005857309,0.00027609,0.005001256,0.01662068,0.08291084,0.7951773,0.08204596,0.006858665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7593553,0.007511445,0.193618,0.006363184,0.004782201,0.004631419,0.0004107332,0.001841235,0.02148651],"genre_scores_gemma":[0.7098706,0.00117711,0.2453927,0.002379015,0.00236888,0.001442436,0.001782045,0.001119378,0.03446781],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3664176,"threshold_uncertainty_score":0.9998813,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4414112189","doi":"10.1007/s00233-025-10571-w","title":"Thin MC left regular bands","year":2025,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Universidad de Sevilla","keywords":"Adjacency list; Adjacency matrix; Partially ordered set; Regular semigroup; Regular graph; Two-graph; Graph energy; Graph","retraction":null,"screen_n_in":null,"score":{"opus":0.003934989868878947,"gpt":0.2245916907316437,"spread":0.2206567008627648,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000152591,0.0001003165,0.0001078413,0.00008466359,0.0001934069,0.000125347,0.0008634127,0.00006239542,0.00002834271],"category_scores_gemma":[0.00001276685,0.00009464486,0.00007602309,0.0003626012,0.00003152692,0.00022641,0.0003443527,0.0001022387,0.000141386],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002921835,"about_ca_system_score_gemma":0.0000603585,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002980089,"about_ca_topic_score_gemma":0.0000342732,"domain_scores_codex":[0.9991011,0.0000185485,0.0001598913,0.0003121909,0.0001388221,0.0002694194],"domain_scores_gemma":[0.9989985,0.00004013416,0.00003559189,0.0008464149,0.00002823352,0.00005113528],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00000101584,0.00004877705,0.001098801,0.00001260131,0.0000159168,0.000003878329,0.0002147056,0.00002515994,0.006527023,0.8743769,0.1003782,0.01729697],"study_design_scores_gemma":[0.0003104536,0.00002354636,0.002937138,0.00003910678,0.00001086278,0.00001432594,0.00009424982,0.08175249,0.02427628,0.07744943,0.812857,0.0002350491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008263893,0.00058941,0.9304555,0.01447036,0.0003741258,0.0001995436,0.000004359158,0.0005568389,0.04508596],"genre_scores_gemma":[0.9564416,0.00002474697,0.01516655,0.002400472,0.00004123071,0.00002905083,0.0000210412,0.000009784003,0.02586546],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9481778,"threshold_uncertainty_score":0.3859505,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2048893100","doi":"10.1007/s00233-013-9471-1","title":"Endomorphism monoids in varieties of commutative semigroups","year":2013,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","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 Manitoba","funders":"","keywords":"Endomorphism; Mathematics; Semigroup; Subcategory; Morphism; Commutative property; Pure mathematics; Monoid; Constant (computer programming); Special classes of semigroups; Cardinality (data modeling); Discrete mathematics; Identity (music); Algebra over a field","retraction":null,"screen_n_in":null,"score":{"opus":0.004363033903384853,"gpt":0.1929251350869552,"spread":0.1885621011835704,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004795743,0.0002766482,0.0004530004,0.0002688617,0.00009085665,0.0001087283,0.001399289,0.0001441621,0.0001423216],"category_scores_gemma":[0.00007029609,0.0002514375,0.0001346374,0.0006553561,0.0002007488,0.001180784,0.0006057721,0.000308787,0.0001626484],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007167595,"about_ca_system_score_gemma":0.00005169462,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001266329,"about_ca_topic_score_gemma":0.0000784738,"domain_scores_codex":[0.9978247,0.0001696159,0.0005788844,0.000437081,0.0003579251,0.0006318262],"domain_scores_gemma":[0.998233,0.000436791,0.0002273192,0.0008781315,0.0001057684,0.0001189511],"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":[0.00002123492,0.0004171825,0.01597582,0.00007962422,0.00007237722,0.00003542835,0.009662995,0.0001707992,0.02587332,0.8932006,0.0144896,0.04000096],"study_design_scores_gemma":[0.003007547,0.0006601473,0.03988256,0.000268341,0.0000193546,0.00009450133,0.00689989,0.1157065,0.05301611,0.7739979,0.005126454,0.001320648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.786904,0.001836456,0.188199,0.004277295,0.0007655422,0.001154976,0.00002438375,0.0005573962,0.01628095],"genre_scores_gemma":[0.9877989,0.00004477564,0.01086959,0.0006996998,0.00002731198,0.0001081063,0.00001018334,0.00002244121,0.0004190462],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2008948,"threshold_uncertainty_score":0.9999938,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4407873258","doi":"10.1007/s00233-025-10505-6","title":"The lattice of submonoids of the uniform block permutations containing the symmetric group","year":2025,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Lattice (music); Symmetric group; Block (permutation group theory); Group (periodic table); Pure mathematics; Algebra over a field; Combinatorics; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.004025996234215667,"gpt":0.1960468313519051,"spread":0.1920208351176894,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005095494,0.0001162716,0.0001577676,0.00008277202,0.0003274903,0.00002315727,0.0005047223,0.00005852276,0.000002647658],"category_scores_gemma":[0.00009692175,0.00005976219,0.0001481075,0.001121661,0.0001434373,0.00005863356,0.00007323296,0.0002005726,0.000002430965],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003027751,"about_ca_system_score_gemma":0.0000179017,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005749692,"about_ca_topic_score_gemma":0.0003299203,"domain_scores_codex":[0.9990926,0.00008406603,0.0003394508,0.00008657876,0.0001528868,0.0002444077],"domain_scores_gemma":[0.9986908,0.0006892165,0.00008674552,0.0004591449,0.00005463903,0.00001943043],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00002194539,0.00002443599,0.01923291,0.0001411046,0.0002509604,4.059839e-7,0.001491426,0.003743909,0.00169251,0.9692887,0.001342781,0.002768884],"study_design_scores_gemma":[0.003926445,0.0006125103,0.3633773,0.001576059,0.00122926,0.00006592576,0.131052,0.1354051,0.03704945,0.1455738,0.1786655,0.001466612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9656981,0.002795268,0.0008601744,0.0006053927,0.0009501216,0.0004631324,0.00002645848,0.00008121892,0.0285201],"genre_scores_gemma":[0.9992832,0.00004963219,0.00001176903,0.00005887894,0.00001954245,0.00003371928,0.000002244135,0.00001330316,0.0005277102],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.823715,"threshold_uncertainty_score":0.2518823,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4410231175","doi":"10.1007/s00233-025-10527-0","title":"Descending chains of varieties of completely regular semigroups","year":2025,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","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":"Simon Fraser University","funders":"","keywords":"Mathematics; Algebra over a field; Regular semigroup; Pure mathematics; Semigroup; Arithmetic; Special classes of semigroups; Combinatorics; Discrete mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.005350251740365935,"gpt":0.2239998652729443,"spread":0.2186496135325784,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006692311,0.0002510968,0.000535232,0.000364769,0.0001412994,0.00005150701,0.001519684,0.0001407438,0.00002185002],"category_scores_gemma":[0.00009020713,0.0002399859,0.0002300527,0.0009723179,0.0002383736,0.0003979099,0.0007209174,0.0001827741,0.000006310273],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005516878,"about_ca_system_score_gemma":0.00009214464,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001074623,"about_ca_topic_score_gemma":0.00001905955,"domain_scores_codex":[0.9978911,0.0001042065,0.0006586192,0.0004510069,0.0003795365,0.0005154748],"domain_scores_gemma":[0.9980845,0.0002947331,0.0003187288,0.001093649,0.0001348662,0.00007355657],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0000168567,0.0001045249,0.003105704,0.0001770457,0.00007537205,0.000004889797,0.0006555825,0.00004723885,0.03434147,0.9468675,0.003671943,0.01093185],"study_design_scores_gemma":[0.002518089,0.0006273075,0.01564131,0.001542582,0.0001176281,0.00005656483,0.003653334,0.1121803,0.4370549,0.4003506,0.02501093,0.001246401],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1496478,0.002076529,0.8337931,0.001540515,0.0009356081,0.0003806277,0.00003212179,0.0003721196,0.01122157],"genre_scores_gemma":[0.984584,0.00005030162,0.01392928,0.0003945967,0.00002677869,0.00001236248,0.000009069277,0.00001577843,0.0009778083],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8349362,"threshold_uncertainty_score":0.9786341,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2000227786","doi":"10.1007/s00233-008-9095-z","title":"The ideal retraction property for completely regular semigroups","year":2008,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"semigroups and automata theory","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":"Simon Fraser University","funders":"","keywords":"Mathematics; Ideal (ethics); Property (philosophy); Algebra over a field; Minimal ideal; Regular semigroup; Pure mathematics; Semigroup; Arithmetic; Discrete mathematics; Maximal ideal; Special classes of semigroups","retraction":null,"screen_n_in":null,"score":{"opus":0.02256403814471047,"gpt":0.2314656607952882,"spread":0.2089016226505777,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0009573124,0.0002980251,0.0002846667,0.00007934113,0.00180195,0.0002241988,0.001590529,0.0001778469,0.000008740883],"category_scores_gemma":[0.0001545697,0.0001734104,0.00025603,0.0004046216,0.0002241304,0.0008274533,0.0003210585,0.0003176568,0.00007948633],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001088735,"about_ca_system_score_gemma":0.00009154705,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001079695,"about_ca_topic_score_gemma":0.00005837159,"domain_scores_codex":[0.99737,0.0001118325,0.0004754453,0.000641426,0.0005098893,0.0008914022],"domain_scores_gemma":[0.9977294,0.0005171073,0.0002265036,0.00121072,0.0001585448,0.0001576873],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001480008,0.0001812058,0.001159368,0.00004828517,0.0001109221,0.000049871,0.001081127,0.00005480671,0.01273811,0.3621135,0.5011711,0.1211437],"study_design_scores_gemma":[0.0008926384,0.0003793957,0.002620623,0.00004879732,0.00001468345,0.0005555678,0.0003442398,0.07101753,0.005807325,0.03862126,0.8791243,0.0005736428],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05732164,0.003219317,0.8991598,0.02355932,0.004319032,0.002470642,0.00004573953,0.002027694,0.007876755],"genre_scores_gemma":[0.9639314,0.0003740864,0.02330928,0.002432384,0.0006195159,0.0003209059,0.00004136233,0.00007531136,0.008895718],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9066098,"threshold_uncertainty_score":0.9994976,"prediction_status":"machine_predicted_unvalidated"},"labels":[{"model":"gemma","categories":[],"domain":null,"study_design":"theoretical_or_conceptual","genre":"empirical","about_ca_system":false,"about_ca_topic":false,"confidence":"high"},{"model":"gpt","categories":[],"domain":null,"study_design":"theoretical_or_conceptual","genre":"methods","about_ca_system":false,"about_ca_topic":false,"confidence":"high"}],"label_agreement":"agree"},{"id":"W2040631847","doi":"10.1007/s00233-004-0130-4","title":"A Tale of Three Idempotents","year":2004,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Mathematics and Applications","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":"Université de Montréal","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics; Arithmetic","retraction":null,"screen_n_in":null,"score":{"opus":0.03738879618322046,"gpt":0.3012161214968557,"spread":0.2638273253136353,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001269616,0.00008965132,0.0001706027,0.00003571819,0.00005372614,0.000008241396,0.0001789359,0.00005153794,0.00006484363],"category_scores_gemma":[0.00007245581,0.00007689102,0.00008619666,0.0001245885,0.00003942553,0.00004399995,0.00006433597,0.00006324742,0.00005230681],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000204661,"about_ca_system_score_gemma":0.00001952231,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003264011,"about_ca_topic_score_gemma":0.0001064784,"domain_scores_codex":[0.9992623,0.000003869262,0.0002673728,0.0001170489,0.000168635,0.0001808241],"domain_scores_gemma":[0.999347,0.00006313236,0.0001327513,0.0003714751,0.00003884386,0.00004677558],"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":[0.000003478129,0.0003609965,0.000600221,0.0001553871,0.00003679589,0.000001464378,0.0003431177,0.00001345567,0.006048304,0.9777526,0.01397516,0.000709053],"study_design_scores_gemma":[0.0003554444,0.00003246789,0.0001514705,0.00007398728,0.00002097023,0.00000685227,0.0001616644,0.000125669,0.007076695,0.9887667,0.003129416,0.00009870955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8135554,0.0001146475,0.1531937,0.001964813,0.00008520099,0.0006743517,0.00004525046,0.000146547,0.0302201],"genre_scores_gemma":[0.9484665,0.000005749829,0.05086445,0.0000675429,0.00002466625,0.00004069656,0.000004457991,0.00002132477,0.0005046182],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1349111,"threshold_uncertainty_score":0.3135525,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}