{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":28,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":28,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"6f7261efd39e","filters":{"venue":"Open Mathematics"}},"results":[{"id":"W2113011496","doi":"10.2478/bf02475183","title":"The closure diagram for nilpotent orbits of the split real form of E8","year":2003,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Closure (psychology); Diagram; Nilpotent; Mathematics; Pure mathematics; Combinatorics; Political science; Statistics","authors":[{"name":"Dragomir Ž. Ðoković","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05544220366990383,"gpt":0.3536575191205651,"spread":0.2982153154506613,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001853089,0.0002480359,0.0002973925,0.001309862,0.001280974,0.001611594,0.0002791723,0.0005114278,0.005797341],"category_scores_gemma":[0.000368311,0.0001713687,0.0002088439,0.0003021403,0.00124659,0.001608278,0.00101963,0.0006184089,0.000594195],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000770635,"about_ca_system_score_gemma":0.0003114948,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001260967,"about_ca_topic_score_gemma":0.001226746,"domain_scores_codex":[0.9998405,0.00001796832,0.000008918425,0.00002672303,0.00005375858,0.0000521303],"domain_scores_gemma":[0.9998604,0.00002750557,0.00002096027,0.00001054225,0.00002549679,0.00005503037],"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":[0.0001355193,0.00004379881,0.0007762104,0.00005297534,0.000003426717,0.0009316803,0.001342907,0.0004735368,0.01274958,0.9751951,0.0007136934,0.007581496],"study_design_scores_gemma":[0.0001012776,0.0001506324,0.003713155,0.00008986575,0.00001222508,0.001324255,0.002612098,0.01071282,0.01538935,0.9386666,0.02717395,0.00005370481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9281639,0.000223675,0.01122233,0.0002286629,0.00006697934,0.00003719631,0.0001393888,0.0001462146,0.05977162],"genre_scores_gemma":[0.9893408,0.00007602528,0.003753003,0.0000387373,0.00001859544,0.00002574566,0.0001111686,0.00003728489,0.006598558],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005797341,"threshold_uncertainty_score":0.01939398,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2024130304","doi":"10.2478/s11533-011-0054-7","title":"3-dimensional sundials","year":2011,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Computer Graphics and Visualization Techniques","field":"Computer Science","cited_by":23,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Geology","authors":[{"name":"Enrico Carlini","is_ca":false},{"name":"Maria Virginia Catalisano","is_ca":false},{"name":"Anthony V. Geramita","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1070658413940369,"gpt":0.3324320019054608,"spread":0.2253661605114239,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008551234,0.0002864567,0.0007163522,0.001959048,0.001193035,0.001731068,0.0005534972,0.0005531504,0.004553852],"category_scores_gemma":[0.001530509,0.0002695956,0.0004991519,0.0007783474,0.001693823,0.002765407,0.002628325,0.000743846,0.0005644234],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007636935,"about_ca_system_score_gemma":0.0002308428,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002550621,"about_ca_topic_score_gemma":0.0002498252,"domain_scores_codex":[0.9994305,0.0001270493,0.00004508129,0.0001369419,0.0001495958,0.000110804],"domain_scores_gemma":[0.9993398,0.00006860276,0.0001614538,0.0001406352,0.0001223856,0.0001672258],"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":[0.00006802731,0.00001509929,0.001824078,0.00004956342,0.00001352314,0.0001752812,0.0003771543,0.001404674,0.004591,0.9819532,0.000681053,0.008847482],"study_design_scores_gemma":[0.0000477574,0.0001561306,0.008222752,0.0001105264,0.00003579423,0.001335124,0.000959406,0.02426407,0.006625955,0.9200076,0.03817776,0.00005703409],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8653076,0.0009369879,0.09671636,0.000339575,0.0001161619,0.00006029274,0.0004342216,0.0002885225,0.03580039],"genre_scores_gemma":[0.9673563,0.0002766851,0.02445508,0.00006808939,0.00007420769,0.00004320067,0.0003984518,0.00009158044,0.007236302],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004553852,"threshold_uncertainty_score":0.01523417,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2087113704","doi":"10.2478/s11533-013-0234-8","title":"New bounds for the broadcast domination number of a graph","year":2013,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":23,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria; Thompson Rivers University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Vertex (graph theory); Domination analysis; Graph; Upper and lower bounds; Connectivity; Cardinality (data modeling); Dominating set; Discrete mathematics; Computer science","authors":[{"name":"Richard C. Brewster","is_ca":true},{"name":"Christina M. Mynhardt","is_ca":true},{"name":"Laura Teshima","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04058516638543169,"gpt":0.35892841162195,"spread":0.3183432452365183,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00375183,0.001457374,0.001418986,0.004407901,0.001568924,0.003865074,0.003178798,0.001310862,0.006747299],"category_scores_gemma":[0.02629969,0.0007958831,0.0009477265,0.00316067,0.002771002,0.005671153,0.002532493,0.003931294,0.0007667972],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00639491,"about_ca_system_score_gemma":0.001240672,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002400078,"about_ca_topic_score_gemma":0.002842248,"domain_scores_codex":[0.9959888,0.0008447861,0.0001571648,0.0007907542,0.001401575,0.0008168251],"domain_scores_gemma":[0.9627697,0.02864113,0.002400795,0.00208331,0.002428695,0.001676347],"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":[0.002855212,0.0004982165,0.01136186,0.001386213,0.0002565563,0.0005426041,0.001137653,0.2771275,0.03727691,0.5288982,0.02225505,0.116404],"study_design_scores_gemma":[0.0001052496,0.0002621811,0.003961373,0.0002396168,0.0001441928,0.00059189,0.0002508429,0.6392083,0.0123631,0.3254025,0.01738215,0.00008855437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.3480503,0.01036774,0.4877368,0.007378075,0.0005749786,0.0003970102,0.00302237,0.001466061,0.1410068],"genre_scores_gemma":[0.8892649,0.002286177,0.09618846,0.0006186187,0.0007731156,0.000367059,0.00084152,0.0004171437,0.009242901],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.006747299,"threshold_uncertainty_score":0.04639852,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2025002994","doi":"10.2478/bf02475663","title":"Error autocorrection in rational approximation and interval estimates. [A survey of results.]","year":2003,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":22,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Division of Mathematical Sciences; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Interval (graph theory); Padé approximant; Rational function; Approximation error; Function (biology); Applied mathematics; Approximation theory; Discretization error; Nonlinear system; Error function; Mathematical analysis; Discretization; Algorithm; Combinatorics","authors":[{"name":"Grigori Litvinov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09373096529857693,"gpt":0.3649350145319173,"spread":0.2712040492333404,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01294603,0.001550351,0.002295566,0.004512013,0.0008659892,0.002986493,0.001809089,0.001473201,0.004451183],"category_scores_gemma":[0.05259553,0.001102146,0.002604723,0.004318399,0.004039288,0.003396495,0.003021863,0.004388933,0.001397869],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002464998,"about_ca_system_score_gemma":0.001037729,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003867329,"about_ca_topic_score_gemma":0.001047319,"domain_scores_codex":[0.9912251,0.004163098,0.0005368831,0.0008873871,0.002851916,0.0003356726],"domain_scores_gemma":[0.9635252,0.02784599,0.001699693,0.003191438,0.003429646,0.0003079886],"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":[0.0004104692,0.000103002,0.002316102,0.001751705,0.0003503054,0.0003649695,0.0005296346,0.05641987,0.001500804,0.6866836,0.01051005,0.2390594],"study_design_scores_gemma":[0.0000576917,0.0003162081,0.002586676,0.0008552587,0.0003749007,0.000644505,0.0001700882,0.3453442,0.00391276,0.5910959,0.05447904,0.0001626552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"review","genre_scores_codex":[0.009928119,0.08074533,0.8742093,0.001259891,0.001713929,0.00006895556,0.0001297564,0.000617986,0.03132675],"genre_scores_gemma":[0.5241046,0.07448925,0.3788211,0.001732787,0.004877803,0.0003746865,0.0005789306,0.001218474,0.01380238],"genre_candidate":"review","genre_consensus":null,"teacher_disagreement_score":0.01294603,"threshold_uncertainty_score":0.06846601,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2025514394","doi":"10.2478/s11533-011-0088-x","title":"Grüss-type bounds for covariances and the notion of quadrant dependence in expectation","year":2011,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"Hong Kong Baptist University; Agencia Nacional de Investigación e Innovación","keywords":"Quadrant (abdomen); Mathematics; Type (biology); Statistics; Geology; Medicine","authors":[{"name":"Martín Egozcue","is_ca":false},{"name":"Luis Fuentes García","is_ca":false},{"name":"Wing‐Keung Wong","is_ca":false},{"name":"Ričardas Zitikis","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.3915975860407322,"gpt":0.4338039926088952,"spread":0.04220640656816299,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008767975,0.001203263,0.001347701,0.002646996,0.0008505337,0.002268051,0.002092378,0.001529663,0.003875558],"category_scores_gemma":[0.0425205,0.0007644351,0.001715425,0.001961725,0.005179074,0.005133714,0.004480234,0.003999338,0.0006241356],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002002424,"about_ca_system_score_gemma":0.001147207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00207206,"about_ca_topic_score_gemma":0.001319321,"domain_scores_codex":[0.9957581,0.001629243,0.0001756931,0.0005757717,0.001408147,0.0004530046],"domain_scores_gemma":[0.9709108,0.01912301,0.00310161,0.002629418,0.003276547,0.0009586273],"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":[0.00004224926,0.00001916599,0.0008113567,0.00007124169,0.00004075062,0.0001313077,0.00009987612,0.06077479,0.002490406,0.9265442,0.0009938442,0.007980674],"study_design_scores_gemma":[0.000007899803,0.00002910781,0.0008006365,0.00003907162,0.00001380328,0.0001213177,0.00002667112,0.2227092,0.001181403,0.7735127,0.001517975,0.00004014163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02629561,0.0008538287,0.9629467,0.0006438973,0.00005367251,0.00003147298,0.000163601,0.0001013697,0.008909874],"genre_scores_gemma":[0.8760926,0.00174584,0.1172065,0.0006932302,0.0002478643,0.0001759072,0.0002959865,0.0001768753,0.003365289],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008767975,"threshold_uncertainty_score":0.04637003,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2915548360","doi":"10.1515/math-2017-0041","title":"Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52","year":2017,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Convolution (computer science); Combinatorics; Integer (computer science); Space (punctuation); Function (biology); Sigma; Modular form; Number theory; Quadratic equation; Discrete mathematics; Pure mathematics; Geometry; Physics; Computer science","authors":[{"name":"Ebénézer Ntienjem","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.2423911411295532,"gpt":0.4276580548968942,"spread":0.185266913767341,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001743242,0.001070645,0.001278437,0.002523611,0.001592577,0.002714357,0.00113628,0.0006354637,0.01061489],"category_scores_gemma":[0.004260425,0.0003081291,0.0008874248,0.0012036,0.001947808,0.002168683,0.00177299,0.001194488,0.001253771],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002642984,"about_ca_system_score_gemma":0.00150958,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001396568,"about_ca_topic_score_gemma":0.002072005,"domain_scores_codex":[0.9987865,0.0002357862,0.00006720232,0.0001016417,0.000560376,0.0002485769],"domain_scores_gemma":[0.9988807,0.00042288,0.000102186,0.0001110724,0.0003000421,0.0001831128],"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":[0.0004376406,0.0001606558,0.00340898,0.0002317007,0.00007589097,0.001666353,0.0007722114,0.02615475,0.01764317,0.8874375,0.004737847,0.05727336],"study_design_scores_gemma":[0.00005572265,0.0001959923,0.004731033,0.0001547849,0.0001194589,0.001435154,0.0004646928,0.3917323,0.05848072,0.5258211,0.01663455,0.0001744194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6974825,0.0005070207,0.1335763,0.000688519,0.0004255552,0.00008141153,0.0001795159,0.0008309304,0.1662283],"genre_scores_gemma":[0.920825,0.0002850033,0.04111508,0.0002676169,0.000148094,0.0000908451,0.0002910056,0.0008004954,0.03617686],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01061489,"threshold_uncertainty_score":0.0355103,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2061083274","doi":"10.2478/s11533-012-0067-x","title":"Foliations of lightlike hypersurfaces and their physical interpretation","year":2012,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Windsor","funders":"","keywords":"Interpretation (philosophy); Materials science; Philosophy; Linguistics","authors":[{"name":"K. L. Duggal","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05524243288079094,"gpt":0.3391104961131708,"spread":0.2838680632323798,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003592995,0.0002334853,0.0002292926,0.001187646,0.0009336567,0.001108905,0.0002745615,0.000472655,0.001607907],"category_scores_gemma":[0.0006814036,0.0001484193,0.0002744434,0.0002996463,0.002103718,0.001245941,0.0008691268,0.0003860558,0.00009717562],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008104417,"about_ca_system_score_gemma":0.0001816106,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008664672,"about_ca_topic_score_gemma":0.0005356235,"domain_scores_codex":[0.9998162,0.00004329041,0.00001123602,0.00003372007,0.00005951812,0.0000360404],"domain_scores_gemma":[0.9997564,0.00003605577,0.00005707227,0.00003662458,0.00004270282,0.00007121194],"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":[0.0000224698,0.00001366599,0.001623605,0.0000197406,0.000005531136,0.0005098936,0.0004859065,0.001814137,0.007271359,0.9845523,0.0003530443,0.00332845],"study_design_scores_gemma":[0.00002064004,0.00007381029,0.006740058,0.00003358626,0.00001203898,0.001196425,0.0005643537,0.02866081,0.003984059,0.9495978,0.009082896,0.00003359346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9450948,0.0005762042,0.03228782,0.0004211839,0.00004509523,0.00002662154,0.00009864556,0.00007517968,0.02137452],"genre_scores_gemma":[0.9927173,0.0001500707,0.005073064,0.00003161762,0.00002907681,0.000009808275,0.00005564757,0.00001519228,0.001918134],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001607907,"threshold_uncertainty_score":0.005880237,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2082599205","doi":"10.2478/s11533-010-0080-x","title":"Finite basis problem for 2-testable monoids","year":2010,"lang":"en","type":"article","venue":"Open Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Basis (linear algebra); Mathematics; Computer science; Algebra over a field; Pure mathematics; Geometry","authors":[{"name":"Edmond W. H. Lee","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02438132521933019,"gpt":0.2764024682013677,"spread":0.2520211429820375,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001797269,0.000372273,0.0007249594,0.0008994657,0.001061826,0.002775776,0.001197493,0.001327922,0.005922911],"category_scores_gemma":[0.006357492,0.0004192858,0.001198605,0.0006419359,0.002239598,0.004917846,0.001810612,0.00165121,0.0005306314],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00111559,"about_ca_system_score_gemma":0.0007792691,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001022949,"about_ca_topic_score_gemma":0.001068157,"domain_scores_codex":[0.998274,0.0004657519,0.000141294,0.0004163695,0.0004080147,0.0002946163],"domain_scores_gemma":[0.9910467,0.007095015,0.0003974498,0.0005492622,0.0005915138,0.0003199757],"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":[0.001159431,0.000466226,0.00502973,0.0007943318,0.0001431137,0.001917864,0.00179249,0.03061757,0.02613161,0.8388598,0.00445918,0.08862866],"study_design_scores_gemma":[0.0001022723,0.0001697423,0.0009097527,0.00007730718,0.00004879429,0.0004946016,0.0005953578,0.07275362,0.01724153,0.9024639,0.005085954,0.00005706214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7554796,0.0006689409,0.2243064,0.001879004,0.0001990744,0.0001688418,0.0009617786,0.00122648,0.01510989],"genre_scores_gemma":[0.9648194,0.0001198707,0.03017193,0.000125119,0.00005282127,0.00006063211,0.0007470844,0.00006928355,0.003833766],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005922911,"threshold_uncertainty_score":0.01981413,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2167521379","doi":"10.2478/s11533-013-0283-z","title":"Tricyclic graphs with exactly two main eigenvalues","year":2013,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"University of Waterloo; National Natural Science Foundation of China","keywords":"Eigenvalues and eigenvectors; Mathematics; Combinatorics; Algebraic connectivity; Graph; Connectivity; Discrete mathematics; Line graph; Physics; Quantum mechanics","authors":[{"name":"Xiaoxia Fan","is_ca":false},{"name":"Yanfeng Luo","is_ca":false},{"name":"Xing Gao","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05953892930559086,"gpt":0.3405654881236767,"spread":0.2810265588180859,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001209557,0.0004856196,0.0004937968,0.001609248,0.0007226859,0.0009171514,0.000378748,0.0005348613,0.003804626],"category_scores_gemma":[0.00100174,0.0002912276,0.0002961626,0.0008588683,0.0007747695,0.0006678498,0.0009222486,0.0004888123,0.0005179708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003648101,"about_ca_system_score_gemma":0.0002425134,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004196955,"about_ca_topic_score_gemma":0.0008269323,"domain_scores_codex":[0.9996805,0.00005290183,0.00002308682,0.0000739378,0.00007201856,0.00009752115],"domain_scores_gemma":[0.9988825,0.0002212903,0.000263037,0.0001709519,0.0002671789,0.0001950814],"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":[0.001218831,0.0002765984,0.009037545,0.000817889,0.0001501676,0.004197103,0.00128168,0.03049551,0.1223712,0.7290948,0.01967083,0.08138794],"study_design_scores_gemma":[0.0002492591,0.0003476256,0.01488113,0.0002049314,0.0001202108,0.005370257,0.00114374,0.08272118,0.03545659,0.8388596,0.02049855,0.000146971],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9369243,0.0004687336,0.02431524,0.0002082256,0.0001020046,0.0000538633,0.0006498164,0.0002392921,0.03703839],"genre_scores_gemma":[0.9888902,0.0001514218,0.006582031,0.00008033602,0.00003563186,0.00003829177,0.0002909626,0.00002321065,0.003907941],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003804626,"threshold_uncertainty_score":0.01272774,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1969627557","doi":"10.2478/s11533-010-0006-7","title":"Stable bundles on hypercomplex surfaces","year":2010,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Hypercomplex number; Mathematics; Pure mathematics; Geometry","authors":[{"name":"Ruxandra Moraru","is_ca":true},{"name":"Misha Verbitsky","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1140502111826621,"gpt":0.3471560418305916,"spread":0.2331058306479296,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003697778,0.0005234979,0.000399324,0.002318516,0.001035551,0.002736032,0.0004021648,0.0005727198,0.00472155],"category_scores_gemma":[0.000811589,0.0002388116,0.0002885349,0.0008385265,0.002048426,0.00274699,0.001944651,0.0006188452,0.0004999085],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00119109,"about_ca_system_score_gemma":0.0003546248,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004987289,"about_ca_topic_score_gemma":0.0003837993,"domain_scores_codex":[0.9995998,0.00008598756,0.00002401365,0.00006893781,0.0001555827,0.00006560638],"domain_scores_gemma":[0.9995437,0.00003861935,0.0001292777,0.00004680895,0.000103799,0.0001377849],"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":[0.00004209665,0.00001686668,0.001144725,0.00002699286,0.00001628251,0.0004675143,0.0003589417,0.003067988,0.007178745,0.9827078,0.0007641111,0.004207933],"study_design_scores_gemma":[0.00003141221,0.00006750933,0.003230726,0.00002486297,0.00001517896,0.0006427317,0.0005154437,0.0227205,0.003529645,0.9600978,0.009095438,0.00002863059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9595702,0.0003779515,0.01555279,0.0006064423,0.00009985917,0.00002794535,0.0001122418,0.00007487906,0.02357761],"genre_scores_gemma":[0.9914011,0.0001880376,0.002920463,0.00006466568,0.00007584824,0.00002325339,0.0001070391,0.00001977284,0.005199762],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00472155,"threshold_uncertainty_score":0.01579517,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1980014395","doi":"10.1007/s11533-005-0005-2","title":"Ordinary differential equations and their exponentials","year":2006,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Exponential function; Ordinary differential equation; Exponential integrator; Context (archaeology); Differential equation; Mathematical analysis; Integrating factor; Number theory; Space (punctuation); Pure mathematics; Differential algebraic equation; Computer science","authors":[{"name":"Anders Kock","is_ca":false},{"name":"Gonzalo E. Reyes","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1109816869492854,"gpt":0.3721495492862839,"spread":0.2611678623369985,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001201806,0.0004653397,0.0003842941,0.001277677,0.0005322301,0.001635752,0.0004454757,0.000512347,0.004600137],"category_scores_gemma":[0.002323711,0.0001639252,0.0004526461,0.000629539,0.002467965,0.002562892,0.001615472,0.0009866693,0.0004963593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007943102,"about_ca_system_score_gemma":0.0004339702,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007024874,"about_ca_topic_score_gemma":0.0002305733,"domain_scores_codex":[0.999415,0.0001986316,0.00003206757,0.00006236667,0.0002134793,0.00007845829],"domain_scores_gemma":[0.9990218,0.0002910013,0.0001329203,0.00006738889,0.0003082996,0.0001785666],"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":[0.000002156404,0.000003333642,0.00005525723,0.000006286034,0.000001431742,0.00001396674,0.00005444975,0.0005813676,0.0001352096,0.9981148,0.0001597728,0.0008720277],"study_design_scores_gemma":[0.000004927816,0.00001233369,0.0001734553,0.000008713344,0.000001676384,0.00004152261,0.00007038434,0.009746547,0.0001909311,0.9858823,0.0038621,0.000005206187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.454886,0.003669578,0.3652293,0.004553528,0.0007243905,0.0000941077,0.0003327926,0.000208482,0.1703018],"genre_scores_gemma":[0.9595329,0.001104152,0.01310307,0.0002809909,0.0003604672,0.00004944393,0.0001379557,0.00006191671,0.02536911],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004600137,"threshold_uncertainty_score":0.01538897,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2082624313","doi":"10.2478/s11533-010-0014-7","title":"The isomorphism relation between tree-automatic Structures","year":2010,"lang":"en","type":"article","venue":"Open Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Commutative property; Isomorphism (crystallography); Nilpotent; Class (philosophy); Axiom; Relation (database); Tree (set theory)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02130993675815469,"gpt":0.2735118164798898,"spread":0.2522018797217351,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001544612,0.0001805126,0.0002951276,0.001176697,0.001437005,0.0024422,0.0006345922,0.0007942943,0.004085867],"category_scores_gemma":[0.005207856,0.0003467572,0.00061002,0.0008068786,0.002955922,0.006093414,0.002524216,0.00108272,0.0004405231],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001091131,"about_ca_system_score_gemma":0.0005451626,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006235235,"about_ca_topic_score_gemma":0.0004344476,"domain_scores_codex":[0.9972329,0.0008612245,0.0002531027,0.000641503,0.0007116343,0.0002996771],"domain_scores_gemma":[0.9941896,0.003253765,0.000541353,0.0008916366,0.0007557349,0.0003678378],"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":[0.00004834937,0.00003989152,0.001676143,0.00002682116,0.00001390047,0.000216643,0.000798229,0.001097518,0.004749964,0.982141,0.0003160301,0.008875477],"study_design_scores_gemma":[0.00001882809,0.00004585883,0.001274048,0.00001952397,0.00001799912,0.0003519767,0.000548548,0.008651857,0.005726464,0.9782005,0.005121609,0.00002291189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7246592,0.0003536804,0.2403924,0.0005147866,0.000064746,0.00006490044,0.0002103542,0.0003441731,0.03339577],"genre_scores_gemma":[0.9802509,0.0000822151,0.01707899,0.00006321941,0.00003682316,0.00003714067,0.0001786396,0.00003015222,0.002242026],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004085867,"threshold_uncertainty_score":0.0136686,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2031031076","doi":"10.2478/s11533-009-0066-8","title":"Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type II operators on compact sets","year":2009,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Contact Mechanics and Variational Inequalities","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"Dalhousie University","keywords":"Monotone polygon; Mathematics; Type (biology); Variational inequality; Pure mathematics; Inequality; Algebra over a field; Mathematical analysis; Geometry","authors":[{"name":"Mohammad S. R. Chowdhury","is_ca":false},{"name":"Kok-Keong Tan","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08858128460535608,"gpt":0.3481132388755806,"spread":0.2595319542702245,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002246671,0.0009452042,0.0008676234,0.0009103813,0.0006512434,0.001515907,0.001444324,0.001115174,0.003498322],"category_scores_gemma":[0.004073889,0.0004466011,0.001101652,0.0006263517,0.001990553,0.002758249,0.002057367,0.002630694,0.0001623135],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001155807,"about_ca_system_score_gemma":0.0007667102,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001100299,"about_ca_topic_score_gemma":0.0009574777,"domain_scores_codex":[0.9989437,0.0003763264,0.0000629016,0.0001629335,0.000338618,0.0001154667],"domain_scores_gemma":[0.9979489,0.0009097538,0.0002696878,0.000121988,0.0005441218,0.0002054457],"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":[0.00008642359,0.00004128577,0.001051673,0.0001849897,0.00006435552,0.0002720197,0.0002673241,0.02620047,0.01408131,0.9486744,0.0008066157,0.008269231],"study_design_scores_gemma":[0.00004467928,0.00009608947,0.0009831621,0.00004543129,0.00002101857,0.0002987177,0.0001848404,0.5783396,0.002377925,0.4152145,0.002363208,0.00003076193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1673525,0.001255762,0.8163617,0.001575668,0.0002572165,0.0001413979,0.0001826514,0.00006854997,0.01280461],"genre_scores_gemma":[0.8993178,0.0007005472,0.09051301,0.0004862708,0.000233462,0.0003177807,0.0001600024,0.00004340728,0.008227684],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003498322,"threshold_uncertainty_score":0.01188171,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2058361284","doi":"10.2478/s11533-008-0049-1","title":"Generalized variational-like inequalities for pseudo-monotone type III operators","year":2008,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Contact Mechanics and Variational Inequalities","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Monotone polygon; Variational inequality; Mathematics; Type (biology); Inequality; Pure mathematics; Algebra over a field; Applied mathematics; Mathematical analysis; Geometry; Geology","authors":[{"name":"Mohammad S. R. Chowdhury","is_ca":false},{"name":"Kok-Keong Tan","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1008753669206222,"gpt":0.3195658382484449,"spread":0.2186904713278227,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002412004,0.001250776,0.0008646786,0.001144038,0.0006254507,0.001714129,0.001386505,0.001308155,0.003538434],"category_scores_gemma":[0.004172744,0.0003830357,0.001456958,0.0007366777,0.002270224,0.002349614,0.002174069,0.002159052,0.0001796537],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001266888,"about_ca_system_score_gemma":0.000969285,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001251129,"about_ca_topic_score_gemma":0.0010995,"domain_scores_codex":[0.999016,0.0003968056,0.00005460359,0.0001331627,0.0002690247,0.0001303605],"domain_scores_gemma":[0.9982121,0.0008729169,0.0002533612,0.00008418494,0.0003741712,0.0002033445],"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":[0.00006045916,0.00002993536,0.0005696735,0.0001774727,0.00005700096,0.0003189365,0.0001743744,0.01709149,0.009163452,0.9672641,0.0005851339,0.004508057],"study_design_scores_gemma":[0.00004473378,0.0001088215,0.0008170214,0.00006025975,0.0000280034,0.0003365766,0.0002322913,0.3894042,0.002722552,0.6039162,0.002292327,0.00003695561],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2246107,0.001609431,0.7461319,0.001438004,0.0002912953,0.0001980979,0.0002301496,0.0001073701,0.02538304],"genre_scores_gemma":[0.9287562,0.0008559632,0.06100984,0.0004368213,0.000231046,0.0002459665,0.0001586741,0.00005364709,0.00825178],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003538434,"threshold_uncertainty_score":0.01275605,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2909075322","doi":"10.1515/math-2018-0119","title":"Pretty good state transfer on 1-sum of star graphs","year":2018,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Education Department of Henan Province; Henan University; University of Waterloo; Henan University of Science and Technology; National Natural Science Foundation of China","keywords":"Combinatorics; Mathematics; Adjacency matrix; Vertex (graph theory); Transfer (computing); Star (game theory); State (computer science); Scalar (mathematics); Unit (ring theory); Graph; Discrete mathematics; Geometry; Mathematical analysis; Algorithm; Computer science","authors":[{"name":"Hailong Hou","is_ca":false},{"name":"Rui Gu","is_ca":false},{"name":"Mengdi Tong","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01999682019071355,"gpt":0.2655811290243024,"spread":0.2455843088335889,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009271107,0.0002709507,0.0005282303,0.0006891076,0.00103256,0.001148531,0.00074366,0.000808975,0.005186538],"category_scores_gemma":[0.003737266,0.000255347,0.0006743036,0.0004312028,0.00180299,0.002965546,0.001656203,0.0008998857,0.0004439032],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006769381,"about_ca_system_score_gemma":0.0004098582,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003950572,"about_ca_topic_score_gemma":0.0003330063,"domain_scores_codex":[0.9991384,0.0002873578,0.00004167697,0.0001745507,0.0001698277,0.000188213],"domain_scores_gemma":[0.9979023,0.0009845779,0.0002080045,0.0004667584,0.0001866256,0.0002517178],"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":[0.0002346377,0.00009826976,0.0006702979,0.00008506665,0.00002640341,0.0002458573,0.000419127,0.02680003,0.01049983,0.9447809,0.001561258,0.01457823],"study_design_scores_gemma":[0.00001532419,0.000101625,0.0004409401,0.00001026305,0.0000126306,0.000113681,0.0001020881,0.09674104,0.00575398,0.8955796,0.001108064,0.0000207324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7936678,0.0002077943,0.1822841,0.0006227499,0.0001010651,0.00006135866,0.0001436528,0.0004926287,0.02241891],"genre_scores_gemma":[0.986326,0.00007239225,0.009659829,0.0001127031,0.00003229888,0.00002972678,0.00008074946,0.00005374556,0.003632451],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005186538,"threshold_uncertainty_score":0.01735067,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1995203634","doi":"10.2478/s11533-013-0296-7","title":"Skeletally Dugundji spaces","year":2013,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Compactification (mathematics); Uncountable set; Multiplicative function; Inverse limit; Open set; Topological space; Number theory; Open and closed maps","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.05461746583286738,"gpt":0.3573972424134687,"spread":0.3027797765806013,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005953046,0.0003298042,0.0004857963,0.001722156,0.00134445,0.00213889,0.0007109179,0.000423809,0.003897787],"category_scores_gemma":[0.001319226,0.0002621433,0.0004265436,0.001092588,0.002917837,0.002214841,0.003333769,0.001229079,0.0004343839],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001119251,"about_ca_system_score_gemma":0.0004856673,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001075013,"about_ca_topic_score_gemma":0.0007711543,"domain_scores_codex":[0.9990195,0.0001534876,0.00005948896,0.0002873291,0.0003182953,0.0001617895],"domain_scores_gemma":[0.9992943,0.0001276762,0.0001258419,0.0001037752,0.0001873119,0.0001612071],"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":[0.00002817626,0.00001018111,0.0008396818,0.00004146215,0.000008675403,0.0001184492,0.0003535422,0.0007883144,0.001949226,0.9899884,0.0004822331,0.005391679],"study_design_scores_gemma":[0.00001765871,0.0001475632,0.003586987,0.00005114669,0.00002355131,0.00122646,0.001077189,0.01094188,0.004184785,0.924975,0.05373133,0.00003652606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7682655,0.002360368,0.1031027,0.0009335617,0.0002738448,0.00006089262,0.0005428139,0.000187326,0.124273],"genre_scores_gemma":[0.9719381,0.0003663021,0.0130846,0.0001321342,0.00009102343,0.00004517479,0.0003849564,0.00003078418,0.01392702],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003897787,"threshold_uncertainty_score":0.01303941,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2612746182","doi":"10.1515/math-2017-0053","title":"lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods","year":2017,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Perturbation (astronomy); Mountain pass theorem; Applied mathematics; Variational analysis; Variational method; Schrödinger equation; Mathematical physics; Schrödinger's cat; Mathematical analysis; Physics; Quantum mechanics; Nonlinear system","authors":[{"name":"Peiluan Li","is_ca":true},{"name":"Youlin Shang","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.2796413206482659,"gpt":0.4657380644441007,"spread":0.1860967437958347,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001449301,0.0007164918,0.0007544945,0.001362218,0.00127412,0.001285304,0.001145721,0.001535297,0.001888111],"category_scores_gemma":[0.002758731,0.0003834486,0.001122216,0.0005459842,0.002456182,0.002005894,0.002083231,0.001561324,0.0001216132],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008863604,"about_ca_system_score_gemma":0.0008012196,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001450081,"about_ca_topic_score_gemma":0.001184863,"domain_scores_codex":[0.9996222,0.0001988591,0.00001907284,0.00003510449,0.00008380463,0.00004089686],"domain_scores_gemma":[0.9992917,0.0003404449,0.0001037283,0.00004684836,0.0001152798,0.000101949],"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":[0.00004573511,0.00005972986,0.0006241032,0.0001065832,0.00006240253,0.0004130462,0.0002311686,0.0827833,0.007971987,0.9020705,0.0005453484,0.00508614],"study_design_scores_gemma":[0.00001413391,0.00003203911,0.000181019,0.00001919268,0.00001389181,0.0001025026,0.00008591438,0.7311333,0.001037309,0.2665464,0.0008152052,0.00001918209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2127773,0.0009608088,0.7698154,0.001702527,0.000227587,0.00008438728,0.00004847928,0.0001389554,0.01424459],"genre_scores_gemma":[0.9017278,0.0005481837,0.08449734,0.0002436822,0.0001743202,0.0001411252,0.00005121764,0.0000590433,0.01255716],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001888111,"threshold_uncertainty_score":0.00766474,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1128846365","doi":"10.1515/math-2015-0028","title":"A signature-based algorithm for computingGröbner-Shirshov bases in skew solvablepolynomial rings","year":2015,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; University of Manitoba","keywords":"Polynomial ring; Mathematics; Noncommutative geometry; Skew; Signature (topology); Polynomial; Matrix polynomial; Algebra over a field; Discrete mathematics; Pure mathematics; Computer science","authors":[{"name":"Xiangui Zhao","is_ca":false},{"name":"Yang Zhang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05302295231552825,"gpt":0.2992289198966046,"spread":0.2462059675810764,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001473496,0.00066707,0.0008885975,0.001435273,0.0009534063,0.002253409,0.001698641,0.0009219957,0.004826446],"category_scores_gemma":[0.003329788,0.0003198561,0.0009005193,0.002539256,0.0008864892,0.004872029,0.002937882,0.001162964,0.001511387],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001228356,"about_ca_system_score_gemma":0.003092679,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009959452,"about_ca_topic_score_gemma":0.001170077,"domain_scores_codex":[0.9985248,0.000268611,0.0002172948,0.0003038596,0.000443888,0.0002415578],"domain_scores_gemma":[0.9984773,0.0003559579,0.0001067858,0.0004570592,0.0004863706,0.0001165863],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0009481653,0.0004108447,0.003070282,0.0003026621,0.0001045405,0.0001840874,0.000565882,0.02817698,0.03220259,0.3028873,0.009503943,0.6216428],"study_design_scores_gemma":[0.0003813781,0.0003587964,0.0009681769,0.00007004965,0.00008138045,0.000404674,0.0004722463,0.4327578,0.06662195,0.4764791,0.02129449,0.0001099731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.07950331,0.0002689668,0.9104253,0.0003988414,0.0001361354,0.000217198,0.0003047189,0.003687521,0.005057978],"genre_scores_gemma":[0.3186037,0.0002076111,0.6758093,0.0001407825,0.00007249475,0.0001781921,0.001212408,0.0002652156,0.003510451],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004826446,"threshold_uncertainty_score":0.01614612,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2064183937","doi":"10.2478/s11533-010-0027-2","title":"Spaces with fibered approximation property in dimension n","year":2010,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Fibered knot; Property (philosophy); Dimension (graph theory); Mathematics; Pure mathematics; Mathematical analysis; Algebra over a field; Philosophy; Epistemology","authors":[{"name":"Тарас Банах","is_ca":false},{"name":"Vesko Valov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0380186853738,"gpt":0.322483747819055,"spread":0.284465062445255,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005193276,0.0002629147,0.0004253989,0.000894083,0.0009737367,0.00131798,0.0004063038,0.0004199656,0.002020415],"category_scores_gemma":[0.00149961,0.0001853925,0.0004246329,0.0007207817,0.001557097,0.00233119,0.001697774,0.0006539932,0.0001296156],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007437539,"about_ca_system_score_gemma":0.0002919763,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001483459,"about_ca_topic_score_gemma":0.0008923006,"domain_scores_codex":[0.9993706,0.0001022128,0.00004713314,0.0001642876,0.0001816651,0.0001340441],"domain_scores_gemma":[0.9987417,0.0002674655,0.0002702771,0.0001887497,0.0002322746,0.0002995872],"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":[0.0004419645,0.00008414873,0.01656231,0.0001348944,0.00007455591,0.0008011442,0.0009513071,0.012541,0.01399892,0.9291865,0.001518796,0.02370441],"study_design_scores_gemma":[0.00004162336,0.0005089333,0.02691509,0.00007663706,0.0000652262,0.003293637,0.001195126,0.1093909,0.008534473,0.8335927,0.01630658,0.00007913353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9416118,0.0003481573,0.04768008,0.000217685,0.00004614784,0.0000126569,0.000183147,0.00006221893,0.009838101],"genre_scores_gemma":[0.9937769,0.00009170637,0.004912477,0.00002560074,0.00003277959,0.000009395541,0.0001246567,0.000003750606,0.001022738],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002020415,"threshold_uncertainty_score":0.006758988,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2002498893","doi":"10.2478/s11533-008-0060-6","title":"Equational spectrum of Hilbert varieties","year":2008,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Commutative property; Pure mathematics; Class (philosophy); Spectrum (functional analysis); Set (abstract data type); Hilbert's fourteenth problem; Equational logic; Algebra over a field; Discrete mathematics; Hilbert space; Projective Hilbert space; Reproducing kernel Hilbert space; Computer science","authors":[{"name":"R. Padmanabhan","is_ca":true},{"name":"Sergiu Rudeanu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05494513687573987,"gpt":0.2745515147663646,"spread":0.2196063778906247,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001710368,0.0003039084,0.0006822934,0.002612879,0.001696136,0.003731373,0.0008029829,0.0006236106,0.004128171],"category_scores_gemma":[0.00332838,0.0003648442,0.000733784,0.001197518,0.004735852,0.006126592,0.002816147,0.001728247,0.0002620419],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001754184,"about_ca_system_score_gemma":0.0005929733,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001214324,"about_ca_topic_score_gemma":0.0005218407,"domain_scores_codex":[0.9980263,0.000369135,0.0001337463,0.0004483224,0.0006582438,0.0003641465],"domain_scores_gemma":[0.997065,0.001230976,0.0003086721,0.0002948253,0.0006769244,0.0004236254],"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":[0.00002153508,0.00001491855,0.0004253267,0.00001389431,0.000006837914,0.00004353942,0.0003113758,0.0004393506,0.0008577942,0.9964687,0.0001820661,0.001214601],"study_design_scores_gemma":[0.00002082246,0.00001895914,0.0008473077,0.00001617434,0.000008039357,0.0001102726,0.000211224,0.006532384,0.0008791511,0.9896283,0.001707815,0.00001944577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8422834,0.0009378349,0.09728227,0.001297241,0.0001011461,0.00005196714,0.0003812801,0.0001903549,0.05747459],"genre_scores_gemma":[0.9949136,0.00009600326,0.002769201,0.00006564898,0.00005032426,0.00002383742,0.0000935894,0.00001410711,0.001973659],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004128171,"threshold_uncertainty_score":0.01381004,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2029886129","doi":"10.2478/s11533-013-0353-2","title":"Twisted gamma filtration and algebras with orthogonal involution","year":2013,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Deutscher Akademischer Austauschdienst","keywords":"Mathematics; Torsion (gastropod); Pure mathematics; Flag (linear algebra); Involution (esoterism); Group ring; Linear algebraic group; Filtration (mathematics); Algebraic group; Algebraic number; Algebra over a field; Group (periodic table); Mathematical analysis","authors":[{"name":"Caroline Junkins","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03882307775237405,"gpt":0.2818116308476439,"spread":0.2429885530952699,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000665985,0.0005659989,0.0005072431,0.001236888,0.001317942,0.001891856,0.0003988888,0.0004372248,0.002971126],"category_scores_gemma":[0.0006715149,0.0001995426,0.0005709284,0.0006489052,0.002621881,0.002577054,0.002087111,0.0009077447,0.0003488001],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008492836,"about_ca_system_score_gemma":0.0004695475,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000669023,"about_ca_topic_score_gemma":0.0005050481,"domain_scores_codex":[0.9995807,0.00007453244,0.00002039771,0.00006158648,0.0001120942,0.0001506652],"domain_scores_gemma":[0.9995283,0.000057239,0.00008661809,0.00004138603,0.00005568817,0.0002308367],"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":[0.00009965427,0.00004692968,0.001765672,0.00004032671,0.00001660223,0.0008778926,0.0006555814,0.002106605,0.004581284,0.9830137,0.0004476236,0.006348069],"study_design_scores_gemma":[0.00004926131,0.000190068,0.002272208,0.00005647358,0.0000350218,0.001052252,0.0005927136,0.009421272,0.007309964,0.9726953,0.006276606,0.00004880572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9300655,0.0005070801,0.04179469,0.0003643972,0.0001437195,0.00002818757,0.0001032655,0.0001836294,0.02680963],"genre_scores_gemma":[0.9938501,0.0001200849,0.002359571,0.00004830974,0.00005867843,0.00001034436,0.00005448435,0.0000153697,0.003483072],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002971126,"threshold_uncertainty_score":0.009939373,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4403512476","doi":"10.1515/math-2024-0073","title":"Vector optimization problems with weakened convex and weakened affine constraints in linear topological spaces","year":2024,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Saskatchewan Polytechnic","funders":"","keywords":"Mathematics; Affine transformation; Locally convex topological vector space; Topology (electrical circuits); Regular polygon; Topological vector space; Pure mathematics; Topological space; Combinatorics; Geometry","authors":[{"name":"Renying Zeng","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02333999468187356,"gpt":0.2706252834590537,"spread":0.2472852887771802,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002756933,0.001035099,0.000861753,0.001075686,0.0005549605,0.001975094,0.0008361309,0.0008982286,0.002534267],"category_scores_gemma":[0.004933879,0.0003392229,0.000766061,0.001125382,0.002018481,0.003239261,0.001893625,0.002169201,0.0002479354],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001221518,"about_ca_system_score_gemma":0.0008499714,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001468104,"about_ca_topic_score_gemma":0.00085037,"domain_scores_codex":[0.9986475,0.0006836032,0.00008549519,0.0001781066,0.0002820084,0.0001232926],"domain_scores_gemma":[0.998154,0.0009813748,0.0002643837,0.00008271892,0.0003780785,0.0001395239],"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":[0.00004915221,0.00003120201,0.0003564427,0.00008548247,0.00003819758,0.0001166582,0.00007975848,0.1086758,0.002845197,0.8793891,0.0007758098,0.007557213],"study_design_scores_gemma":[0.00002367567,0.0001057079,0.0003946489,0.00003566386,0.00001879027,0.00007969748,0.0001268542,0.6027402,0.001577448,0.3927759,0.002093847,0.00002753746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.09786687,0.0006961124,0.8895169,0.001172652,0.0001014601,0.00004018109,0.0001257057,0.00004816207,0.01043188],"genre_scores_gemma":[0.9070471,0.0008665893,0.08332867,0.0002085083,0.0001812563,0.0001479686,0.0002327742,0.00006590642,0.007921241],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002756933,"threshold_uncertainty_score":0.01458025,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2739779934","doi":"10.1515/math-2017-0100","title":"An extension of the method of brackets. Part 1","year":2017,"lang":"en","type":"preprint","venue":"Open Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"Tulane University","keywords":"Extension (predicate logic); Variety (cybernetics); Mathematics; Heuristic; Meromorphic function; Class (philosophy); Series (stratigraphy); Table (database); Pure mathematics; Null (SQL); Line (geometry); Algebra over a field; Computer science; Geometry; Artificial intelligence; Mathematical optimization","authors":[{"name":"Iván González","is_ca":false},{"name":"Lin Jiu","is_ca":true},{"name":"Victor H. Moll","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.2106442529345022,"gpt":0.451345876042851,"spread":0.2407016231083488,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002482185,0.0009073573,0.0008719957,0.002788674,0.00118158,0.001958295,0.001531951,0.0009811649,0.0147219],"category_scores_gemma":[0.004291181,0.0004360446,0.001198661,0.001256641,0.00280654,0.003622566,0.002568104,0.00217795,0.003905407],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008818692,"about_ca_system_score_gemma":0.0007459116,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005076857,"about_ca_topic_score_gemma":0.0003840108,"domain_scores_codex":[0.9982174,0.0007448131,0.0001119578,0.00021934,0.0006171809,0.00008921292],"domain_scores_gemma":[0.9990706,0.000267362,0.00005651325,0.0002513726,0.0002815003,0.00007257205],"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":[0.00002321503,0.00002155903,0.00009896879,0.00007503809,0.00001057472,0.00006167257,0.0001890291,0.001030041,0.001913682,0.9697242,0.004476678,0.02237555],"study_design_scores_gemma":[0.00001676815,0.00004444738,0.0001901025,0.0000415697,0.000009387117,0.0002175493,0.00003333517,0.01653389,0.00172182,0.9393141,0.04184794,0.00002896823],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02496895,0.00204327,0.8738047,0.002208361,0.002997151,0.0001972197,0.0004095246,0.0006166071,0.0927542],"genre_scores_gemma":[0.3209157,0.002186414,0.5983658,0.001432894,0.00258693,0.0004391609,0.0003245936,0.001670287,0.07207823],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0147219,"threshold_uncertainty_score":0.04924965,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2018411362","doi":"10.2478/s11533-006-0020-y","title":"On the periodicity of trigonometric functions generalized to quotient rings of R[x]","year":2006,"lang":"en","type":"article","venue":"Open Mathematics","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Moncton","funders":"","keywords":"Quotient; Trigonometry; Mathematics; Trigonometric functions; Pure mathematics; Algebra over a field; Mathematical analysis; Geometry","authors":[{"name":"Claude Gauthier","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07332168786704303,"gpt":0.3399057710507136,"spread":0.2665840831836706,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001476085,0.0004049547,0.000538367,0.00101591,0.0006246,0.001416547,0.0005134242,0.0003575743,0.001827614],"category_scores_gemma":[0.002330706,0.0001848829,0.0004504807,0.0004576382,0.002242513,0.002290281,0.0008165797,0.0006666086,0.0002939656],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004264478,"about_ca_system_score_gemma":0.0002659974,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002559606,"about_ca_topic_score_gemma":0.0001910531,"domain_scores_codex":[0.9996357,0.0001261315,0.00002406439,0.000061134,0.00009165405,0.00006134969],"domain_scores_gemma":[0.9992901,0.0002588868,0.0001126295,0.0001526569,0.0001012376,0.00008447267],"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":[0.0001030581,0.0000319688,0.0009171128,0.00004097882,0.00001039541,0.0006246757,0.0004346051,0.004232319,0.007368302,0.9754218,0.0004278031,0.01038698],"study_design_scores_gemma":[0.00003444823,0.0001857858,0.002459469,0.00004913523,0.00002600311,0.001177421,0.0002989986,0.05480582,0.007166641,0.9283699,0.005373459,0.00005282885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9010758,0.0006200658,0.07790993,0.0003712559,0.0001869098,0.00002010096,0.00004594355,0.0001023552,0.01966757],"genre_scores_gemma":[0.9869428,0.0002390328,0.01062682,0.00004439488,0.0001152229,0.00001193963,0.00001790069,0.00002973993,0.00197216],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001827614,"threshold_uncertainty_score":0.007806361,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4362503470","doi":"10.1515/math-2022-0568","title":"Binet's second formula, Hermite's generalization, and two related identities","year":2023,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Université de Montréal; Dartmouth College","keywords":"Mathematics; Logarithm; Hermite polynomials; Generalization; Trigonometry; Gamma function; Pure mathematics; Legendre polynomials; Exponential function; Inverse trigonometric functions; Trigonometric functions; Algebra over a field; Mathematical analysis","authors":[{"name":"Rufus Boyack","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07128598336882852,"gpt":0.3634924536857905,"spread":0.292206470316962,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001907629,0.0006043873,0.0009130203,0.002814018,0.001219482,0.002296153,0.001556468,0.001539689,0.005063221],"category_scores_gemma":[0.005147048,0.0002824867,0.001134676,0.00194596,0.002747316,0.004699088,0.001564525,0.003763675,0.0009437726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002852814,"about_ca_system_score_gemma":0.001155168,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002990769,"about_ca_topic_score_gemma":0.002707617,"domain_scores_codex":[0.9990792,0.0001656775,0.00005101152,0.0001117921,0.000453898,0.0001383681],"domain_scores_gemma":[0.9988232,0.0003862143,0.00008821588,0.000165507,0.0004408506,0.00009595497],"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":[0.000007487895,0.00001158287,0.00009179538,0.00001712885,0.000002494653,0.00008369375,0.00008063632,0.0003360569,0.000407251,0.9923756,0.001298584,0.005287828],"study_design_scores_gemma":[0.00001033157,0.00001356599,0.0004417202,0.0000323764,0.000006608814,0.0004495495,0.00006658192,0.01136855,0.001113125,0.9769343,0.009536748,0.00002665623],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1321459,0.006397433,0.4811224,0.007437944,0.003018353,0.0001139093,0.0003432915,0.0003705351,0.3690503],"genre_scores_gemma":[0.8095122,0.00322996,0.1065017,0.002743337,0.00168325,0.0001202228,0.0001882233,0.0003049904,0.07571617],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005063221,"threshold_uncertainty_score":0.02069873,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2732345118","doi":"10.1515/math-2018-0101","title":"The Picard group of Brauer-Severi varieties","year":2018,"lang":"en","type":"preprint","venue":"Open Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Brauer group; Picard group; Pure mathematics; Field (mathematics); Group (periodic table); Base (topology); Algebra over a field; Mathematical analysis; Physics","authors":[{"name":"Eslam Badr","is_ca":false},{"name":"Francesc Bars","is_ca":true},{"name":"Elisa Lorenzo García","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06173331783461132,"gpt":0.3333013898977476,"spread":0.2715680720631363,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006203242,0.0008190739,0.0007141206,0.002007863,0.001617577,0.002809858,0.0006710549,0.0007551807,0.007570596],"category_scores_gemma":[0.001455353,0.0003294155,0.0004690192,0.0008784371,0.002843714,0.002681019,0.002251371,0.00144771,0.0009954851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008444054,"about_ca_system_score_gemma":0.0004795143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004867595,"about_ca_topic_score_gemma":0.0003253809,"domain_scores_codex":[0.9993967,0.000110847,0.00002911021,0.0001150183,0.0001872789,0.0001610607],"domain_scores_gemma":[0.9994923,0.000100161,0.00008641556,0.0000727787,0.00007399695,0.0001743769],"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":[0.00003781822,0.00001576805,0.0006115153,0.00002072582,0.00000494185,0.0001677144,0.0004338174,0.001021008,0.001725119,0.9903167,0.0006217844,0.005022944],"study_design_scores_gemma":[0.00003353561,0.00006036599,0.001046689,0.00002863363,0.00001122716,0.000351974,0.0003002115,0.006758879,0.002499907,0.9777535,0.0111229,0.00003208794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8395736,0.001021878,0.05550277,0.000949304,0.0003750773,0.00009674376,0.0002464793,0.0003489598,0.1018852],"genre_scores_gemma":[0.9833545,0.0002694665,0.004312065,0.00008376006,0.0002108801,0.00004718429,0.0001751232,0.00007382219,0.01147323],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007570596,"threshold_uncertainty_score":0.02532613,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4401287998","doi":"10.1515/math-2024-0031","title":"Matrix stretching","year":2024,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Tensor product; Injective function; Tensor (intrinsic definition); Pure mathematics; Matrix (chemical analysis); Symmetry (geometry); Product (mathematics); Algebraic number; Tensor product of Hilbert spaces; Algebra over a field; Tensor product of algebras; Tensor contraction; Mathematical analysis; Geometry; Materials science","authors":[{"name":"Vyacheslav Futorny","is_ca":false},{"name":"Mikhail Neklyudov","is_ca":false},{"name":"Kaiming Zhao","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08468956082795183,"gpt":0.4295789025515601,"spread":0.3448893417236082,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006309623,0.0008113724,0.0004302028,0.0009658911,0.0007041832,0.001322966,0.0006010472,0.0005604209,0.01230158],"category_scores_gemma":[0.00230047,0.0002402121,0.0005715499,0.0006154959,0.001767769,0.002973004,0.001465604,0.001058854,0.001818265],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004357616,"about_ca_system_score_gemma":0.0003895673,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004196611,"about_ca_topic_score_gemma":0.00022505,"domain_scores_codex":[0.9993988,0.0001014504,0.00002852467,0.0002000644,0.000192768,0.00007838447],"domain_scores_gemma":[0.9988571,0.0002105617,0.0001772286,0.00034328,0.00027708,0.0001347456],"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":[0.00009119276,0.00003794316,0.0004000294,0.0001528001,0.00002498007,0.0002917417,0.0002897708,0.01069111,0.02249891,0.9160158,0.004373929,0.04513179],"study_design_scores_gemma":[0.00002633179,0.0002434163,0.001433459,0.00006573653,0.00003610735,0.001109014,0.0002979751,0.09078018,0.0276446,0.8176373,0.06064551,0.00008041245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1807931,0.002198944,0.7116011,0.001244348,0.002387223,0.000198416,0.0006438577,0.001141078,0.099792],"genre_scores_gemma":[0.8375036,0.001787928,0.1110685,0.0007186686,0.001463836,0.0001667103,0.0005698834,0.000532056,0.04618875],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01230158,"threshold_uncertainty_score":0.04115295,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4403230114","doi":"10.1515/math-2024-1000","title":"Corrigendum to “Matrix stretching”","year":2024,"lang":"en","type":"erratum","venue":"Open Mathematics","topic":"Surgical Sutures and Adhesives","field":"Medicine","cited_by":0,"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; Number theory; Matrix (chemical analysis); Pure mathematics; Algebra over a field; Combinatorics; Materials science; Composite material","authors":[{"name":"Vyacheslav Futorny","is_ca":false},{"name":"Mikhail Neklyudov","is_ca":false},{"name":"Kaiming Zhao","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05618283632512403,"gpt":0.3756399553960504,"spread":0.3194571190709264,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002775081,0.001887628,0.001703575,0.00364617,0.004150838,0.004038032,0.002934442,0.009618264,0.0689934],"category_scores_gemma":[0.03300429,0.0008802862,0.002057418,0.001796075,0.002399707,0.001951536,0.001949397,0.01004704,0.04279216],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004647526,"about_ca_system_score_gemma":0.004360908,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.02879857,"about_ca_topic_score_gemma":0.04047932,"domain_scores_codex":[0.9964181,0.0005971829,0.0004924037,0.0004787865,0.00169014,0.000323383],"domain_scores_gemma":[0.9869825,0.004334094,0.0003947097,0.0008340401,0.00683125,0.0006234405],"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":[0.000007860504,0.000004040488,0.0000130928,0.0000296808,0.000002108349,0.00005361285,0.00000493357,0.00001455066,0.000009787072,0.0005825582,0.9961607,0.003116992],"study_design_scores_gemma":[0.00001740885,0.00001403115,0.000337234,0.0001721805,0.00001733181,0.0001594131,0.00002800076,0.0001101618,0.000100219,0.001960808,0.9970682,0.00001501118],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"editorial","genre_gemma":"other","genre_scores_codex":[0.00006603022,0.001303517,0.0003214564,0.05038423,0.9327024,0.00002372757,0.0002743394,0.0001440502,0.01478022],"genre_scores_gemma":[0.003521998,0.005814171,0.001879785,0.1498457,0.3830645,0.0001918745,0.0008408362,0.0006004505,0.4542407],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.0689934,"threshold_uncertainty_score":0.2308059,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}