{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":27,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":27,"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":"e270500b4527","filters":{"venue":"Positivity"}},"results":[{"id":"W2963538120","doi":"10.1007/s11117-016-0446-9","title":"Unbounded norm convergence in Banach lattices","year":2016,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":72,"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; Banach space; Norm (philosophy); Convergence (economics); Almost everywhere; Convergence tests; Dominated convergence theorem; Pure mathematics; Lattice (music); Unconditional convergence; Compact convergence; Mathematical analysis; Discrete mathematics; Rate of convergence; Physics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.03473528762201659,"gpt":0.3252561182068072,"spread":0.2905208305847906,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005018506,0.0001383898,0.0002152836,0.00006735956,0.00004955358,0.00001068089,0.0001673569,0.0000634489,0.0002283886],"category_scores_gemma":[0.0004955493,0.00009938868,0.00004502299,0.0001541716,0.0001246734,0.0003277399,0.00007934505,0.00009835081,0.0001589285],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001504539,"about_ca_system_score_gemma":0.00003119235,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005577185,"about_ca_topic_score_gemma":0.0009106903,"domain_scores_codex":[0.9989631,0.0001339055,0.0001756871,0.0002426759,0.000173705,0.0003109443],"domain_scores_gemma":[0.9983533,0.001097821,0.00009212817,0.0003508023,0.00003910595,0.00006684627],"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":[0.0001972499,0.0005407663,0.06907229,0.0001485548,0.00005698894,0.000102045,0.001053776,0.000003414213,0.1077582,0.8011329,0.0005766883,0.01935721],"study_design_scores_gemma":[0.0009982736,0.00006126182,0.04594711,0.0001795183,0.00002391186,0.00001367683,0.0000855833,0.00008216538,0.05235649,0.8994015,0.000479161,0.0003713246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9631151,0.00004294025,0.02618915,0.0009897761,0.0001301995,0.0001953404,0.0000160572,0.000121642,0.009199799],"genre_scores_gemma":[0.9948736,0.00001489258,0.003677199,0.00006876252,0.00004089411,0.00001578068,5.956271e-7,0.00002043557,0.001287807],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09826866,"threshold_uncertainty_score":0.4052953,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2053838573","doi":"10.1007/s11117-009-0040-5","title":"Martingales in Banach lattices, II","year":2010,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":35,"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; Martingale (probability theory); Banach space; Bounded function; Lattice (music); Operator theory; Pure mathematics; Potential theory; Approximation property; Discrete mathematics; Mathematical analysis; Physics; Applied mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.02231236516001537,"gpt":0.3205890674886049,"spread":0.2982767023285895,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007706534,0.0001259603,0.0001938277,0.00007051604,0.0001049056,0.00001308124,0.0001419364,0.00008472837,0.00012368],"category_scores_gemma":[0.0008024061,0.0001221072,0.00004388494,0.0001399817,0.00008466752,0.0001885934,0.0001241592,0.000438642,0.00003733577],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003302675,"about_ca_system_score_gemma":0.00002131202,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006168696,"about_ca_topic_score_gemma":0.003338259,"domain_scores_codex":[0.9991102,0.00009057364,0.0001660297,0.0002040036,0.0001438446,0.0002853402],"domain_scores_gemma":[0.9988909,0.0005747313,0.00008824735,0.0003546141,0.00002860395,0.0000628401],"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":[0.00008505407,0.000961758,0.04638926,0.0001451547,0.00003110143,0.0001008155,0.002138009,0.000009419063,0.2435086,0.6896905,0.0009696567,0.01597072],"study_design_scores_gemma":[0.0008297788,0.00008086028,0.06220577,0.00007570127,0.00003671689,0.00003889451,0.000136422,0.0006639022,0.05418073,0.8788545,0.002387897,0.0005087898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.981173,0.00001886146,0.001449519,0.0005767902,0.0001343349,0.000153312,0.000007127708,0.0001210012,0.01636601],"genre_scores_gemma":[0.9791013,0.000001218755,0.01984024,0.00006881235,0.00008319157,0.00001302317,0.000001865019,0.00002353349,0.0008668248],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1893279,"threshold_uncertainty_score":0.4979385,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2322033587","doi":"10.1007/s11117-004-2769-1","title":"Martingales in Banach Lattices","year":2005,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"University of Alberta","keywords":"Mathematics; Banach space; Martingale (probability theory); Martingale difference sequence; Monotone polygon; Bounded function; Pure mathematics; Sequence (biology); Discrete mathematics; Combinatorics; Mathematical analysis; Applied mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.03281693198562984,"gpt":0.3374911391257581,"spread":0.3046742071401282,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005731175,0.0001092625,0.0001746179,0.00006589184,0.00004586982,0.00001333069,0.0001045751,0.00004777319,0.00008584846],"category_scores_gemma":[0.000362278,0.0001060476,0.00003924198,0.000120926,0.00004997467,0.0002495679,0.00005562402,0.00016015,0.00008875201],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000910867,"about_ca_system_score_gemma":0.00001280162,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002362202,"about_ca_topic_score_gemma":0.00123885,"domain_scores_codex":[0.9991544,0.0001235317,0.0001617816,0.0001730107,0.0001313981,0.0002558069],"domain_scores_gemma":[0.9990311,0.0005984787,0.00007498146,0.0002308952,0.00001905639,0.00004545935],"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":[0.0002098427,0.001804189,0.0883404,0.0003141693,0.00007747013,0.0001319928,0.004995025,0.0004457414,0.03439787,0.7432209,0.002561155,0.1235013],"study_design_scores_gemma":[0.001719896,0.0001065721,0.1031255,0.0002619479,0.00007247898,0.0000449199,0.0005192182,0.00443416,0.07739125,0.8055518,0.005792986,0.00097936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9729798,0.000106277,0.003792181,0.001257157,0.00003045561,0.0001363474,0.000004684717,0.0001227699,0.02157026],"genre_scores_gemma":[0.9745231,0.000003759019,0.02452247,0.0001184992,0.00009744388,0.00001035597,0.000001052395,0.00001852759,0.0007047659],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1225219,"threshold_uncertainty_score":0.4324497,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2163613677","doi":"10.1007/s11117-004-2770-8","title":"Nuclear and Full Nuclear Cones in Product Spaces: Pareto Efficiency and an Ekeland Type Variational Principle","year":2005,"lang":"en","type":"article","venue":"Positivity","topic":"Nuclear reactor physics and engineering","field":"Engineering","cited_by":21,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada; Canadian Armed Forces","funders":"","keywords":"Mathematics; Operator theory; Potential theory; Type (biology); Variational principle; Pareto principle; Applied mathematics; Mathematical analysis; Product (mathematics); Pure mathematics; Mathematical optimization; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.006883631576789642,"gpt":0.2116286464981101,"spread":0.2047450149213204,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009744208,0.0001052478,0.000115847,0.0000425075,0.00004339141,0.00006306242,0.000041228,0.00003380342,0.00001488465],"category_scores_gemma":[0.00001073964,0.0001105101,0.000008934973,0.00009267605,0.00002234019,0.0002504383,0.00003120528,0.0001134371,0.00001143276],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003105471,"about_ca_system_score_gemma":0.000004695712,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002944342,"about_ca_topic_score_gemma":0.00004022537,"domain_scores_codex":[0.9995081,0.00001192068,0.00008462725,0.0001620641,0.00007504188,0.0001581954],"domain_scores_gemma":[0.9997821,0.00001768493,0.00001187957,0.0001043518,0.0000145959,0.00006935382],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002248045,0.0007702255,0.04015109,0.0006434422,0.0001752385,0.00004923093,0.01102171,0.1066945,0.6631789,0.1396551,0.0003279389,0.03710784],"study_design_scores_gemma":[0.0006148185,0.000144933,0.3091482,0.00005573122,0.00001868686,0.00003851614,0.00005902867,0.6663917,0.0004394898,0.0001730969,0.02240825,0.0005076284],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9980182,0.0001258633,0.00007350223,0.00006530954,0.00006648502,0.00008390239,0.00000747075,0.0001193144,0.001439935],"genre_scores_gemma":[0.999165,0.00004088785,0.0006127506,0.00001310391,0.0001252814,0.000001045914,0.00000441676,0.00003317046,0.000004316802],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6627394,"threshold_uncertainty_score":0.4506473,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2032917786","doi":"10.1007/s11117-012-0166-8","title":"The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square","year":2012,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta; MacEwan University; University of Waterloo","funders":"","keywords":"Mathematics; Diagonal; Tensor product; Banach space; Potential theory; Lattice (music); Operator theory; Pure mathematics; Square (algebra); Tensor (intrinsic definition); Mathematical analysis; Physics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.04382272882995441,"gpt":0.3305559580942978,"spread":0.2867332292643434,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002115618,0.0001287695,0.0002051284,0.00001680137,0.0002535676,0.000009919729,0.0004042625,0.00006189981,0.00001685872],"category_scores_gemma":[0.001864518,0.00006016919,0.0001395509,0.0001884664,0.0003796392,0.0001379186,0.0001290874,0.0002151788,0.000009801907],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004913653,"about_ca_system_score_gemma":0.00003525922,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004194304,"about_ca_topic_score_gemma":0.00007382355,"domain_scores_codex":[0.9982948,0.0006724973,0.0002952436,0.0001131976,0.0003510513,0.0002732315],"domain_scores_gemma":[0.993143,0.005417126,0.0004302304,0.0008179278,0.0001531828,0.00003851175],"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":[0.000125428,0.0006102151,0.02047713,0.0001877834,0.0001640911,3.839914e-7,0.006168267,0.00003376243,0.046754,0.9159064,0.000674676,0.008897837],"study_design_scores_gemma":[0.0006616682,0.00008799769,0.2604035,0.0001835368,0.0004406612,0.00001802637,0.003053486,0.0005257957,0.3987947,0.3342504,0.001233178,0.0003469893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9881376,0.0005295795,0.005818205,0.002423239,0.0001685952,0.0005970375,0.00006651923,0.00002909787,0.002230095],"genre_scores_gemma":[0.9984521,0.00001163523,0.000972554,0.00007038529,0.0001009221,0.00003260949,0.00000143169,0.00001985657,0.0003384843],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.581656,"threshold_uncertainty_score":0.2453628,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1976595094","doi":"10.1007/s11117-010-0107-3","title":"Uniform estimates for order statistics and Orlicz functions","year":2010,"lang":"en","type":"article","venue":"Positivity","topic":"Bayesian Methods and Mixture Models","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":"University of Alberta","funders":"","keywords":"Combinatorics; Random variable; Order (exchange); Independent and identically distributed random variables; Mathematics; Order statistic; Multivariate random variable; Sequence (biology); Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.01217257844991749,"gpt":0.2819368948787755,"spread":0.269764316428858,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002655979,0.00007796831,0.00009335981,0.00002963061,0.0001658008,0.0001057311,0.0001210362,0.0000457018,0.000005822205],"category_scores_gemma":[0.0001108578,0.00006711197,0.00001601185,0.00009361705,0.00004441229,0.0002059931,0.00007305683,0.0001105466,0.000004005376],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004857001,"about_ca_system_score_gemma":0.00003698936,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003119054,"about_ca_topic_score_gemma":0.000104394,"domain_scores_codex":[0.9995022,0.0000170028,0.00007153392,0.0001935085,0.00005938348,0.0001564147],"domain_scores_gemma":[0.9992637,0.0003163678,0.00002860675,0.000217272,0.00009748675,0.00007653721],"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":[0.000003469129,0.00003556011,0.0003710212,0.00001402507,0.000009264072,0.000001694809,0.00009754249,0.00000146357,0.005791257,0.6729395,0.0008237881,0.3199114],"study_design_scores_gemma":[0.0004884424,0.0001473268,0.01733923,0.000008555146,0.0000390122,0.00006953683,0.000003216043,0.3699362,0.006650691,0.598586,0.006409771,0.0003219784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002785935,0.00001669645,0.9947848,0.0006837461,0.0003137392,0.0001318106,0.00006517128,0.00006607551,0.001152032],"genre_scores_gemma":[0.09484169,0.000001816454,0.90469,0.000152208,0.00004492425,0.00001627423,0.000005731348,0.000005278999,0.0002420508],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3699347,"threshold_uncertainty_score":0.2736747,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2171574956","doi":"10.1023/a:1015290601993","title":"A Graph Theoretic Approach to Strong Monotonicity with respect to Polyhedral Cones","year":2002,"lang":"en","type":"article","venue":"Positivity","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":15,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; University of Guelph","funders":"","keywords":"Combinatorics; Mathematics; Monotone polygon; Monotonic function; Invariant (physics); Mathematical analysis; Mathematical physics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03365011434726602,"gpt":0.2796315426877806,"spread":0.2459814283405146,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005342248,0.0001801855,0.0005114519,0.00007969723,0.0001231192,0.000009199737,0.00009274932,0.0001242139,0.0003882571],"category_scores_gemma":[0.0003526587,0.0001161323,0.00009121163,0.0001995265,0.0003154362,0.00003880098,0.00006310669,0.000260636,0.0002145253],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002843379,"about_ca_system_score_gemma":0.00001091351,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002247967,"about_ca_topic_score_gemma":0.000006675601,"domain_scores_codex":[0.9986569,0.0001814473,0.0002041816,0.0003786094,0.0001290239,0.0004498675],"domain_scores_gemma":[0.9987754,0.0004134262,0.00003106547,0.000310467,0.00004414335,0.000425452],"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":[0.0007090704,0.0006817246,0.003619186,0.00005676371,0.00008185429,0.00002937413,0.000440534,0.00007954398,0.0002978317,0.9932977,0.0002455854,0.0004608254],"study_design_scores_gemma":[0.007829719,0.01316543,0.2629019,0.0007334684,0.001372183,0.001850503,0.0005031026,0.1759434,0.01135923,0.5214921,0.0005069248,0.00234202],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6910049,0.00003057701,0.1822523,0.006332472,0.00002417589,0.0005896862,0.000008002953,0.00007820228,0.1196797],"genre_scores_gemma":[0.9905415,0.000003252831,0.005697235,0.003155903,0.00005177506,0.00008620021,0.000002888839,0.00001379943,0.000447439],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4718056,"threshold_uncertainty_score":0.4735736,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2009188375","doi":"10.1007/s11117-004-3786-9","title":"Some Open Problems and Conjectures Associated with the Invariant Subspace Problem","year":2005,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Invariant subspace problem; Mathematics; Banach space; Invariant subspace; Approximation property; Finite-rank operator; Linear subspace; Operator theory; Pure mathematics; Strictly singular operator; Complexification; Invariant (physics); Bounded function; Bounded operator; Banach manifold; Reflexive operator algebra; Operator (biology); Subspace topology; Holomorphic functional calculus; Compact operator; Unbounded operator; Lp space; Operator space; Mathematical analysis; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.02884636677992119,"gpt":0.2863056579702326,"spread":0.2574592911903114,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001048595,0.0002005881,0.0002835591,0.00002717553,0.0002582964,0.0001389913,0.000297459,0.00007100054,0.00001632558],"category_scores_gemma":[0.0002311608,0.0001188568,0.0000253483,0.0001300124,0.0001955396,0.0004834804,0.0002670189,0.0002628271,0.000006784969],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009235059,"about_ca_system_score_gemma":0.00004549296,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008290962,"about_ca_topic_score_gemma":0.003059115,"domain_scores_codex":[0.9987813,0.0002976662,0.0001292337,0.0002745145,0.0002007067,0.0003165653],"domain_scores_gemma":[0.9984016,0.0009434226,0.0001908579,0.0003282531,0.00006358934,0.00007226508],"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":[0.0003623957,0.001063734,0.001956528,0.0001764977,0.0006495178,0.00006110307,0.01402487,0.0006091012,0.01304411,0.9573717,0.005940836,0.004739589],"study_design_scores_gemma":[0.003928704,0.0005571591,0.01451986,0.0005433509,0.0003624796,0.0001739068,0.0006077613,0.001197319,0.01648003,0.9582174,0.002332257,0.001079732],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9577267,0.0005514097,0.008008852,0.0213365,0.00002854144,0.003142381,0.00005068691,0.0002892514,0.008865665],"genre_scores_gemma":[0.9908029,0.00001245148,0.00710264,0.0004725847,0.0000716775,0.00008869288,0.000004380676,0.0000393629,0.001405279],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03307622,"threshold_uncertainty_score":0.484684,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1980081300","doi":"10.1007/s11117-009-0005-8","title":"Covering a set with homothets of a convex body","year":2009,"lang":"en","type":"article","venue":"Positivity","topic":"Point processes and geometric inequalities","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":"University of Alberta","funders":"","keywords":"Mathematics; Convex body; Homothetic transformation; Combinatorics; Dimension (graph theory); Discrete geometry; Conjecture; Mixed volume; Regular polygon; Order (exchange); Convex geometry; Cover (algebra); Convex set; Geometry; Convex hull; Convex optimization","retraction":null,"screen_n_in":null,"score":{"opus":0.0405368352034581,"gpt":0.3178824710657554,"spread":0.2773456358622973,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002409797,0.0000932251,0.000233004,0.00007440046,0.00003671388,0.00001649841,0.00007203077,0.00003341242,0.00002991048],"category_scores_gemma":[0.000147923,0.00007262234,0.00003900815,0.0002350194,0.00003064737,0.0001166243,0.00001712897,0.00006788894,0.00000364416],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001583066,"about_ca_system_score_gemma":0.00002917258,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003530085,"about_ca_topic_score_gemma":0.000008901124,"domain_scores_codex":[0.9993759,0.0000279269,0.0001429292,0.0001100816,0.0001798241,0.0001633413],"domain_scores_gemma":[0.9993845,0.0002352836,0.0001024251,0.0001649428,0.00007692503,0.00003587575],"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":[0.0007446463,0.002020542,0.008710857,0.002172969,0.0003611014,0.0001772338,0.009770709,0.00002618344,0.02191775,0.9319436,0.001781682,0.02037273],"study_design_scores_gemma":[0.003327214,0.003284767,0.04510617,0.0008721896,0.0002700553,0.0003092995,0.0009829628,0.001064027,0.3433761,0.5989699,0.001304697,0.001132581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9661806,0.00005511355,0.01952464,0.0002531259,0.00001737465,0.0001106942,0.00004062075,0.00005316987,0.01376467],"genre_scores_gemma":[0.9978393,0.000005086121,0.001734944,0.00009757199,0.00002387365,0.000002684168,0.000002262772,0.000007065886,0.000287197],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3329737,"threshold_uncertainty_score":0.2961453,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3138768524","doi":"10.1007/s11117-023-01002-7","title":"Order continuity and regularity on vector lattices and on lattices of continuous functions","year":2023,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Lattice (music); Tychonoff space; Homomorphism; Pure mathematics; Ordered vector space; Function space; Vector space; Normed vector space; Order (exchange); Topological space; Discrete mathematics; Functional analysis; Interpolation space; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.02884506168609199,"gpt":0.312700670368988,"spread":0.2838556086828959,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005989185,0.000155212,0.0003300292,0.00008883999,0.0001294081,0.0000241542,0.00005924382,0.00008041484,0.00001719789],"category_scores_gemma":[0.0008802901,0.0001384881,0.00003504042,0.0002105812,0.0002124829,0.0001254126,0.00008433125,0.0001775493,0.00001656653],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002068402,"about_ca_system_score_gemma":0.00001270392,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000425064,"about_ca_topic_score_gemma":0.0002351547,"domain_scores_codex":[0.9990044,0.0001716141,0.0001580715,0.0002724539,0.0001851064,0.0002083258],"domain_scores_gemma":[0.997398,0.002018601,0.0001486655,0.0002834824,0.0000816841,0.00006955765],"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":[0.001494217,0.001655003,0.05417432,0.001388027,0.0005367089,0.00009520799,0.004780824,0.00004768971,0.04140143,0.856995,0.002690118,0.03474144],"study_design_scores_gemma":[0.002508717,0.001270497,0.6769627,0.0005185873,0.0003740031,0.00002296198,0.001159,0.0008378207,0.02527349,0.289194,0.001137977,0.0007401813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9947016,0.00004607639,0.0005229256,0.0005415965,0.00008445911,0.0002607247,0.00008697876,0.0001690681,0.003586621],"genre_scores_gemma":[0.9976311,0.00001667004,0.0008657206,0.00005219321,0.00004149614,0.00001203225,0.000005041758,0.00002108096,0.001354673],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6227884,"threshold_uncertainty_score":0.5647381,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2062895981","doi":"10.1007/s11117-007-2124-4","title":"Invariant Subspaces of Positive Quasinilpotent Operators on Ordered Banach Spaces","year":2008,"lang":"en","type":"article","venue":"Positivity","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Linear subspace; Pure mathematics; Banach space; Invariant (physics); Operator theory; Invariant subspace; Differentiable function; Interpolation space; Banach manifold; Lp space; Sobolev space; Functional analysis; Discrete mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.05111861347031245,"gpt":0.288268424020908,"spread":0.2371498105505955,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005565583,0.0002466059,0.0004779301,0.00009972895,0.0002399621,0.00002074615,0.0001872964,0.0001305719,0.0001363886],"category_scores_gemma":[0.0003315375,0.0002026662,0.0001200967,0.0002272411,0.0002670153,0.000137881,0.00006945803,0.00022684,0.00005406545],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006256272,"about_ca_system_score_gemma":0.0001135026,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002485722,"about_ca_topic_score_gemma":0.00007774006,"domain_scores_codex":[0.9982909,0.0004239769,0.0002977738,0.000321445,0.0003657131,0.0003001973],"domain_scores_gemma":[0.9985418,0.0006315844,0.0001492685,0.0003898695,0.000156932,0.0001304953],"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":[0.001412916,0.004842863,0.03455565,0.0003037061,0.0007428985,0.001254258,0.02292577,0.00007998056,0.06555767,0.8602545,0.006416176,0.001653616],"study_design_scores_gemma":[0.004124098,0.002561961,0.1112738,0.0006665835,0.0002735239,0.0005239436,0.003506986,0.0006585047,0.8454081,0.02862474,0.0005870552,0.001790683],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9869419,0.00007919427,0.001066284,0.000537184,0.0001153301,0.0003221346,0.0001007489,0.00007043732,0.01076681],"genre_scores_gemma":[0.9976482,0.00003611053,0.00149725,0.0001923478,0.00006320568,0.00001322631,0.000008455331,0.00003313654,0.0005080216],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8316298,"threshold_uncertainty_score":0.8264487,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2297309104","doi":"10.1007/s11117-016-0411-7","title":"Locally piecewise affine functions and their order structure","year":2016,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Affine transformation; Piecewise; Infimum and supremum; Affine space; Pure mathematics; Order (exchange); Piecewise linear manifold; Duality (order theory); Function (biology); Combinatorics; Discrete mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.01265880951505289,"gpt":0.2590585976983065,"spread":0.2463997881832536,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001390612,0.0001587602,0.0001816647,0.00003889387,0.0001032927,0.00001325433,0.00006935246,0.00006875792,0.0002405879],"category_scores_gemma":[0.0003439523,0.00009111068,0.00003133942,0.0001039325,0.0001314343,0.0001783192,0.00008261323,0.0001001209,0.00001993044],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004467251,"about_ca_system_score_gemma":0.00002291268,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005871711,"about_ca_topic_score_gemma":0.0002233739,"domain_scores_codex":[0.9993108,0.00007611524,0.0001017233,0.000215354,0.00008379421,0.0002121947],"domain_scores_gemma":[0.9988781,0.0005997687,0.00005812973,0.0003085548,0.00007751656,0.00007793369],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002778594,0.0003246597,0.002883711,0.0001168929,0.0002068007,0.00002203427,0.0009982787,0.0000120347,0.4964619,0.1894649,0.003456008,0.3057749],"study_design_scores_gemma":[0.001382428,0.000146435,0.006390154,0.0001258544,0.00006738139,0.00009071502,0.0001987792,0.00009681098,0.04076568,0.9473135,0.002948505,0.0004737057],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6407412,0.00007678743,0.3544183,0.001554893,0.00009608634,0.0001871932,0.0001461604,0.0001695237,0.002609786],"genre_scores_gemma":[0.992847,0.000008024583,0.004160867,0.00007773198,0.00009575611,0.000006766943,0.000002176347,0.00002623875,0.002775449],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7578487,"threshold_uncertainty_score":0.3715385,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1984864568","doi":"10.1007/s11117-013-0239-3","title":"Fremlin tensor products of concavifications of Banach lattices","year":2013,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Potential theory; Operator theory; Mathematics; Tensor (intrinsic definition); Pure mathematics; Tensor product; Banach space; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.04122784105044478,"gpt":0.3172134576268671,"spread":0.2759856165764223,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003085008,0.0001017,0.0002731919,0.00005550239,0.00003533121,0.000005002024,0.0001450978,0.00004744236,0.0001088201],"category_scores_gemma":[0.001023613,0.00009017708,0.00004718467,0.0001767834,0.0001881552,0.0001923639,0.00004443218,0.00009157866,0.00003451582],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002185342,"about_ca_system_score_gemma":0.00003306395,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001202319,"about_ca_topic_score_gemma":0.0000249129,"domain_scores_codex":[0.9991415,0.0001154944,0.0002585284,0.0001682829,0.0001644032,0.0001517936],"domain_scores_gemma":[0.9981372,0.0006877613,0.0002868148,0.0004903914,0.0003578375,0.00003993692],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00002551875,0.000905975,0.005600402,0.0006832001,0.0001149149,0.000001446374,0.001474544,0.00002299203,0.7220641,0.2639907,0.001403503,0.00371268],"study_design_scores_gemma":[0.0003923114,0.0001018419,0.05225478,0.000104769,0.000120799,0.000005259561,0.0004184422,0.0003429757,0.7177911,0.228106,0.0001314238,0.0002302935],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9889556,0.00009128813,0.004804044,0.0008023436,0.00004192335,0.0005030904,0.00003907853,0.0000533637,0.004709273],"genre_scores_gemma":[0.9642705,0.000004471974,0.03497894,0.00001552404,0.00002962973,0.00002667936,0.000003726165,0.00001676583,0.0006537599],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04665438,"threshold_uncertainty_score":0.3677315,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2007592935","doi":"10.1007/s11117-010-0092-6","title":"Positive matrix semigroups with binary diagonals","year":2010,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; University of Prince Edward Island","funders":"","keywords":"Semigroup; Mathematics; Diagonal; Binary number; Rank (graph theory); Diagonal matrix; Cancellative semigroup; Main diagonal; Combinatorics; Ideal (ethics); Matrix (chemical analysis); Hilbert space; Pure mathematics; Zero (linguistics); Discrete mathematics; Arithmetic","retraction":null,"screen_n_in":null,"score":{"opus":0.01699634909919903,"gpt":0.3211608413997513,"spread":0.3041644923005523,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002821436,0.0002146319,0.0002608988,0.0000613087,0.0001508746,0.00003639032,0.0001907969,0.000120537,0.0001387508],"category_scores_gemma":[0.0002556987,0.0001786675,0.00006807293,0.0001672711,0.0001540797,0.0002524803,0.0001155427,0.0005487486,0.00007196666],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004086535,"about_ca_system_score_gemma":0.00004027255,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001838648,"about_ca_topic_score_gemma":0.0001174265,"domain_scores_codex":[0.9988126,0.00007185117,0.0001749807,0.0003238071,0.0002854689,0.0003313081],"domain_scores_gemma":[0.9982009,0.0009592494,0.0001216665,0.0004916025,0.0001050794,0.0001214803],"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":[0.0001091109,0.000477601,0.007670813,0.00006490704,0.00009537935,0.00024133,0.000536915,0.000002637411,0.07614729,0.9117317,0.0006638347,0.002258487],"study_design_scores_gemma":[0.000912705,0.0003017435,0.05174378,0.0001107885,0.000114945,0.0003488316,0.00006922524,0.0001179886,0.110049,0.8347551,0.0007569341,0.000718963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9760497,0.00002606758,0.01179256,0.0006258259,0.0001972619,0.0003087073,0.00005520852,0.0002023912,0.01074234],"genre_scores_gemma":[0.9346998,0.000002878211,0.06388698,0.0001346074,0.0002130564,0.0000308956,0.00001039848,0.00004480072,0.0009765564],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07697663,"threshold_uncertainty_score":0.7285851,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2117641332","doi":"10.1007/s11117-009-0024-5","title":"Bounded indecomposable semigroups of non-negative matrices","year":2009,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"MacEwan University; University of Waterloo; University of Alberta","funders":"","keywords":"Indecomposable module; Bounded function; Semigroup; Mathematics; Diagonal; Combinatorics; Potential theory; Matrix (chemical analysis); Operator theory; Main diagonal; Diagonal matrix; Similarity (geometry); Pure mathematics; Discrete mathematics; Mathematical analysis; Image (mathematics)","retraction":null,"screen_n_in":null,"score":{"opus":0.0281942665272076,"gpt":0.370981344993751,"spread":0.3427870784665434,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004377129,0.0001519957,0.0003314387,0.0001001066,0.0001092478,0.00003523076,0.0002200068,0.0000799609,0.00006784453],"category_scores_gemma":[0.0003573334,0.0001388252,0.00007917795,0.0003694607,0.00008433981,0.0003283853,0.00007074343,0.0002369393,0.00003126207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009608572,"about_ca_system_score_gemma":0.00006476542,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004533099,"about_ca_topic_score_gemma":0.0000337587,"domain_scores_codex":[0.9986905,0.0001123364,0.0002521152,0.0002340568,0.0003855271,0.0003254888],"domain_scores_gemma":[0.9985736,0.0006986624,0.0001270853,0.0003385927,0.0001662457,0.00009580628],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001000757,0.005494974,0.01823101,0.001022334,0.0004686163,0.0002198282,0.01022154,0.0001567421,0.6237659,0.299141,0.006472935,0.03380432],"study_design_scores_gemma":[0.000925216,0.000430139,0.02527098,0.00011856,0.00003159896,0.00001661388,0.0001720445,0.00126476,0.4787992,0.4926256,0.00004270471,0.0003026324],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9780773,0.00004114032,0.009115884,0.0002417531,0.0000323106,0.0003436727,0.00002357077,0.00006199829,0.01206235],"genre_scores_gemma":[0.9627203,0.00001117396,0.03689437,0.00005325513,0.00004317215,0.000008228005,0.000002581063,0.00001527603,0.0002516798],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1934846,"threshold_uncertainty_score":0.5661126,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4396808375","doi":"10.1007/s11117-024-01050-7","title":"Characterizations of the projection bands and some order properties of the lattices of continuous functions","year":2024,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Potential theory; Operator theory; Projection (relational algebra); Mathematics; Order (exchange); Fourier analysis; Pure mathematics; Mathematical analysis; Fourier transform; Algorithm","retraction":null,"screen_n_in":null,"score":{"opus":0.02429074509523523,"gpt":0.2682852978642349,"spread":0.2439945527689996,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001844596,0.00006369839,0.0001365372,0.0000324272,0.00007163506,0.000008320839,0.00006384121,0.0000308194,0.000005905859],"category_scores_gemma":[0.000235134,0.00003351724,0.00004749356,0.0002233005,0.0002218883,0.0001623396,0.00006911048,0.00008309881,3.333172e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001157785,"about_ca_system_score_gemma":0.00004389996,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002832542,"about_ca_topic_score_gemma":0.00003902087,"domain_scores_codex":[0.9994922,0.0001026218,0.0001483314,0.00008374992,0.0001096045,0.00006352253],"domain_scores_gemma":[0.9994277,0.0001487643,0.0001256453,0.0001956141,0.00009428347,0.000007986438],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00004352914,0.0002257454,0.005372463,0.001203973,0.0001337922,2.040324e-7,0.00379798,0.00001584612,0.9053841,0.08193782,0.00005222189,0.001832365],"study_design_scores_gemma":[0.0003536768,0.0001342599,0.07109321,0.001422118,0.0005023667,0.00002112603,0.001142733,0.001868072,0.8754233,0.04756971,0.000279656,0.0001897738],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9965248,0.0002019594,0.001844246,0.0004783453,0.0001605122,0.0003219675,0.00004830197,0.00002619688,0.0003936335],"genre_scores_gemma":[0.9988023,0.000009417314,0.0001431386,0.000009345047,0.00002373107,0.00001489215,6.221682e-7,0.00001006376,0.0009864933],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06572075,"threshold_uncertainty_score":0.1366794,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W118132913","doi":"10.1023/a:1009834625767","title":"Finite Representability of ℓp in Quotients of Banach Spaces","year":2001,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Block (permutation group theory); Mathematics; Banach space; Subspace topology; Combinatorics; Quotient; Basis (linear algebra); Space (punctuation); Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.03743821571316222,"gpt":0.3402201671623587,"spread":0.3027819514491965,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007799271,0.0001184047,0.0003785856,0.0001005349,0.0000186706,0.000002973303,0.0001472663,0.00006226227,0.00006412153],"category_scores_gemma":[0.001313115,0.0001152723,0.00008156394,0.0003032888,0.0001665137,0.000155818,0.0001064667,0.0001256995,0.000003645441],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006028593,"about_ca_system_score_gemma":0.00002148058,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003562114,"about_ca_topic_score_gemma":0.0006765152,"domain_scores_codex":[0.9987434,0.0002542556,0.0003354221,0.0002214413,0.0002369755,0.0002085163],"domain_scores_gemma":[0.9978498,0.001249548,0.0002344793,0.0005466468,0.00007669385,0.00004284081],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004514064,0.001991593,0.9438918,0.0003945402,0.00005034408,0.00002845087,0.002266718,0.0003380356,0.01885045,0.02845126,0.0000782924,0.003207168],"study_design_scores_gemma":[0.001569348,0.0002223927,0.3893361,0.0002861104,0.00006138737,0.00001072991,0.0008976242,0.00125192,0.1761109,0.4298055,0.0000741964,0.0003737261],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9870189,0.0000369367,0.00601318,0.00009196627,0.00004252851,0.0002351585,0.00002354901,0.00002586227,0.006511961],"genre_scores_gemma":[0.9962487,0.00001088173,0.003507249,0.000007830995,0.00001286096,0.000006346425,0.000002309355,0.00001336293,0.0001904455],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5545557,"threshold_uncertainty_score":0.4700669,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2059414464","doi":"10.1007/s11117-007-2141-3","title":"Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type I operators on compact sets","year":2008,"lang":"en","type":"article","venue":"Positivity","topic":"Optimization and Variational Analysis","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":"Dalhousie University","funders":"","keywords":"Mathematics; Monotone polygon; Hausdorff space; Type (biology); Pure mathematics; Class (philosophy); Operator theory; Variational inequality; Compact space; Minimax; Regular polygon; Hausdorff distance; Discrete mathematics; Mathematical analysis; Mathematical optimization; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.04551163546726524,"gpt":0.2981626255774477,"spread":0.2526509901101825,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004136732,0.0001703433,0.0002633138,0.000160759,0.0004139375,0.0001166802,0.0002904382,0.00006780342,0.00006857355],"category_scores_gemma":[0.0001629906,0.0001562289,0.0001269671,0.0005024616,0.00003485859,0.0004421554,0.0000504632,0.00008085376,0.00006575356],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000857408,"about_ca_system_score_gemma":0.0001761523,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002289434,"about_ca_topic_score_gemma":0.00001692642,"domain_scores_codex":[0.9985316,0.0002539265,0.0002679719,0.000356452,0.0003647128,0.0002253199],"domain_scores_gemma":[0.9987617,0.0003843028,0.0001195342,0.0002940717,0.0003285028,0.0001119102],"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":[0.0001018722,0.0008799601,0.005855299,0.00001218244,0.0001627092,0.000007319894,0.001094023,0.02106347,0.0006145721,0.9660805,0.003665065,0.00046306],"study_design_scores_gemma":[0.0009350273,0.000281134,0.03727024,0.000009541511,0.00002249409,0.00001391337,0.00000898859,0.9555397,0.001256107,0.003353212,0.0009873505,0.0003222766],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09882581,0.00002671182,0.8955914,0.004015742,0.0003119672,0.0002513179,0.00009064518,0.0001480548,0.0007383152],"genre_scores_gemma":[0.9520894,0.00001559174,0.04540437,0.001548601,0.0001278263,0.00001952197,0.0001370942,0.0000114286,0.0006461416],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9627272,"threshold_uncertainty_score":0.6370829,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2040926607","doi":"10.1007/s11117-012-0192-6","title":"Generalized positive sets and abstract monotonicity","year":2012,"lang":"en","type":"article","venue":"Positivity","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Centre de Recherches Mathématiques","keywords":"Monotonic function; Mathematics; Monotone polygon; Operator theory; Potential theory; Banach space; Pure mathematics; Duality (order theory); Regular polygon; Discrete mathematics; Subderivative; Relation (database); Mathematical analysis; Convex optimization; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.01486627257183556,"gpt":0.2619785330958381,"spread":0.2471122605240026,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002504676,0.00007673581,0.00009985862,0.00004722035,0.00012239,0.00008446425,0.0001081319,0.00003400904,0.0000315058],"category_scores_gemma":[0.00001980199,0.00007004294,0.00004020636,0.0001574905,0.00001710346,0.0007453911,0.00009684717,0.00005536458,0.00003007257],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002582525,"about_ca_system_score_gemma":0.00001490245,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001285945,"about_ca_topic_score_gemma":0.00000645263,"domain_scores_codex":[0.9993926,0.00006152349,0.00009175376,0.0001546702,0.0001317769,0.0001676782],"domain_scores_gemma":[0.9995605,0.00007792452,0.00005144269,0.0001406329,0.00005323542,0.0001162486],"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":[0.0000273272,0.0007489296,0.096852,0.00001541133,0.00024254,0.000009541964,0.002807026,0.001300063,0.006376331,0.8559266,0.0006349614,0.0350593],"study_design_scores_gemma":[0.0002117697,0.00001063422,0.8911794,0.000003131388,0.00001669881,0.00001177004,0.000003216789,0.1041557,0.003064573,0.001057962,0.0001421163,0.0001429742],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5212093,0.0001606712,0.4694461,0.002494834,0.0001303794,0.0001116942,0.00001831216,0.0001053095,0.006323432],"genre_scores_gemma":[0.970288,0.00001347693,0.02901551,0.0005580067,0.00003538017,0.000003999257,0.000008639429,0.00000286978,0.0000741229],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8548686,"threshold_uncertainty_score":0.2856268,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4313649463","doi":"10.1007/s11117-022-00943-9","title":"On local convexity in $$\\pmb {{\\mathbb {L}}^0}$$ and switching probability measures","year":2023,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","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":"Toronto Metropolitan University","funders":"","keywords":"Combinatorics; Bounded function; Convexity; Regular polygon; Physics; Topology (electrical circuits); Discrete mathematics; Mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.05258725935891977,"gpt":0.3256078316810663,"spread":0.2730205723221465,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001865491,0.0001924702,0.0003225145,0.0001126451,0.000105616,0.00002195478,0.0001055496,0.00009547103,0.000009859996],"category_scores_gemma":[0.001367409,0.0001767486,0.00004894163,0.0002829182,0.0001493848,0.0001640519,0.00013336,0.0003531174,0.00004230978],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001757742,"about_ca_system_score_gemma":0.00003140315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008203744,"about_ca_topic_score_gemma":0.0007305468,"domain_scores_codex":[0.9984282,0.000336349,0.0002141966,0.0003786604,0.0002809257,0.0003616248],"domain_scores_gemma":[0.99781,0.00162221,0.00007547508,0.0003656294,0.00003608079,0.00009061951],"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":[0.0007033163,0.001090594,0.02399237,0.0009096509,0.0000827206,0.0002579284,0.005919991,0.0009542404,0.0205211,0.8645398,0.0005786528,0.08044966],"study_design_scores_gemma":[0.0004658362,0.00006744216,0.02550171,0.0001007769,0.00001181019,0.000007745159,0.0001647402,0.002347661,0.005938172,0.965164,0.00002120586,0.0002088727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9556846,0.00002529556,0.04140737,0.0004434376,0.00006278136,0.0004317175,0.00001083084,0.0003125935,0.001621356],"genre_scores_gemma":[0.9980959,0.000005936102,0.001664224,0.00008969773,0.00002367003,0.00003559118,0.000002085492,0.00002655364,0.00005633951],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1006243,"threshold_uncertainty_score":0.7207599,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2254982658","doi":"10.1007/s11117-015-0384-y","title":"On the Riemann-Hilbert factorization problem for positive definite functions","year":2015,"lang":"en","type":"article","venue":"Positivity","topic":"Meromorphic and Entire Functions","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 New Brunswick","funders":"","keywords":"Mathematics; Positive-definite matrix; Riemann hypothesis; Pure mathematics; Potential theory; Factorization; Operator theory; Maxima and minima; Fourier analysis; Hilbert transform; Mathematical analysis; Applied mathematics; Fourier transform; Eigenvalues and eigenvectors; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.1319363696936172,"gpt":0.3041365715854998,"spread":0.1722002018918827,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004923434,0.0001410592,0.0001463843,0.00004256594,0.0003586072,0.00004967849,0.00008230769,0.0000723647,0.0000612724],"category_scores_gemma":[0.0007808029,0.00009793062,0.00009413981,0.0001664759,0.00006166154,0.0001176857,0.00002994767,0.0001353524,0.0001360696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008436824,"about_ca_system_score_gemma":0.00005978017,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005717176,"about_ca_topic_score_gemma":0.00006195341,"domain_scores_codex":[0.9990771,0.0001290048,0.0001650489,0.0002034324,0.0002174488,0.0002079189],"domain_scores_gemma":[0.9979163,0.001398996,0.00009578392,0.0002645681,0.0002263955,0.00009799735],"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":[0.00009894033,0.0002970188,0.0004163202,0.00001898233,0.00007857407,9.987142e-7,0.0007704328,0.00002330906,0.0001990418,0.9220165,0.07570948,0.000370372],"study_design_scores_gemma":[0.0008032273,0.0005439437,0.00197794,0.00007505004,0.0002148632,0.00001600355,0.0003033317,0.0008522239,0.001162414,0.9869679,0.006786885,0.0002962004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08544991,0.00001539781,0.8187804,0.005846886,0.0008345723,0.001430713,0.0003568334,0.0002171525,0.08706813],"genre_scores_gemma":[0.9925066,9.539282e-7,0.002498792,0.0003248705,0.0001561749,0.0002232279,0.0001112264,0.00002702679,0.004151127],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9070567,"threshold_uncertainty_score":0.3993495,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1996060741","doi":"10.1007/s11117-014-0286-4","title":"Some new factor theorems for generalized absolute Cesàro summability","year":2014,"lang":"en","type":"article","venue":"Positivity","topic":"Approximation Theory and Sequence Spaces","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":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Absolute (philosophy); Series (stratigraphy); Pure mathematics; Potential theory; Discrete mathematics; Combinatorics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.06282982525123915,"gpt":0.3320368388883515,"spread":0.2692070136371124,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009697119,0.000172047,0.0002977571,0.00003319612,0.0001718295,0.00005509468,0.000178562,0.00009759977,0.000106312],"category_scores_gemma":[0.0008747294,0.0001421805,0.0001537044,0.0000611739,0.00009998444,0.0003114087,0.00004039663,0.00009623623,0.00002757057],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004564848,"about_ca_system_score_gemma":0.00004255334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004819356,"about_ca_topic_score_gemma":0.00003751774,"domain_scores_codex":[0.9987849,0.0002584376,0.0002290823,0.0002794254,0.0001635383,0.000284616],"domain_scores_gemma":[0.9981669,0.001113503,0.0001438016,0.000383831,0.00006343966,0.0001285452],"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":[0.0000876175,0.00007983988,0.0001368493,0.00009009656,0.00002475228,2.473887e-7,0.0005690157,0.000004471543,0.007807103,0.9863907,0.0007579039,0.004051465],"study_design_scores_gemma":[0.0005464706,0.00006417114,0.0008683227,0.0000137718,0.00003017431,0.000001780473,0.00002082157,0.002106811,0.02949528,0.9657856,0.0008795952,0.0001872689],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7394443,0.00003032539,0.2569277,0.001162315,0.0002024179,0.0005515153,0.00007085686,0.0001885971,0.001422059],"genre_scores_gemma":[0.9744511,0.000003468304,0.02327064,0.0002145159,0.0004648096,0.00004024876,0.00001412607,0.0000244796,0.001516555],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2350069,"threshold_uncertainty_score":0.5797951,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2003711832","doi":"10.1007/s11117-014-0289-1","title":"A simultaneous Wielandt positivity theorem","year":2014,"lang":"en","type":"article","venue":"Positivity","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; University of Prince Edward Island","funders":"","keywords":"Mathematics; Semigroup; Indecomposable module; Spectral radius; Zero (linguistics); Pure mathematics; Diagonal; Combinatorics; Diagonal matrix; Unitary state; Operator theory; Matrix (chemical analysis); Closure (psychology); Operator norm; Discrete mathematics; Eigenvalues and eigenvectors; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.02179533463132262,"gpt":0.3336517499502218,"spread":0.3118564153188992,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001061918,0.0002396004,0.0003534625,0.00007130489,0.0002435874,0.00007740022,0.0002693915,0.0001196379,0.0001120775],"category_scores_gemma":[0.002938846,0.0002077851,0.0001103776,0.0002141777,0.0001519035,0.0002205317,0.0001843629,0.0003939204,0.0001970341],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001071516,"about_ca_system_score_gemma":0.00003949713,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003924317,"about_ca_topic_score_gemma":0.00008902103,"domain_scores_codex":[0.9977996,0.0005484452,0.0002179466,0.0004168091,0.000470587,0.0005466494],"domain_scores_gemma":[0.9947819,0.004164901,0.00007451195,0.0006232234,0.000154807,0.0002006739],"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":[0.0003657678,0.001012823,0.005069305,0.0002258986,0.0001352662,0.0002611459,0.0008653636,0.0001738323,0.04776276,0.8721105,0.0006904038,0.0713269],"study_design_scores_gemma":[0.001919333,0.0006610665,0.003896116,0.0001511723,0.00009020635,0.0002221228,0.00007194035,0.0318041,0.09697382,0.8606532,0.002449773,0.001107106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8330675,0.0000311216,0.1331799,0.0005026653,0.00011199,0.0004470402,0.00003256769,0.0003274798,0.03229968],"genre_scores_gemma":[0.9913827,0.000003753265,0.007418358,0.0001811358,0.0001800582,0.00002591228,0.000005919641,0.00005149396,0.0007506444],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1583152,"threshold_uncertainty_score":0.8473231,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2247587381","doi":"10.1007/s11117-016-0424-2","title":"Mixed-norm estimates and symmetric geometric means","year":2016,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","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":"Western University","funders":"","keywords":"Mathematics; Norm (philosophy); Inequality; Minkowski inequality; Minkowski space; Pure mathematics; Applied mathematics; Log sum inequality; Mathematical analysis; Rearrangement inequality; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03143804550906509,"gpt":0.2909537934858312,"spread":0.2595157479767661,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005264014,0.0001810322,0.0002719757,0.0003755656,0.0001003687,0.00002164513,0.0001174253,0.00007015622,0.0000440015],"category_scores_gemma":[0.002081074,0.0001223829,0.00005262847,0.0006624173,0.0001285735,0.0002682253,0.0001299221,0.00008842856,0.0000691265],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009809994,"about_ca_system_score_gemma":0.00001422052,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001594217,"about_ca_topic_score_gemma":0.00002813885,"domain_scores_codex":[0.9989472,0.00007273319,0.0001564877,0.0002769855,0.0002096905,0.0003368756],"domain_scores_gemma":[0.9960639,0.003329535,0.0001004362,0.0003261979,0.00005927698,0.000120678],"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":[0.00008205744,0.0004463316,0.0264716,0.0002327012,0.0001547357,0.00006507681,0.0002039177,0.000001608734,0.02170475,0.5164157,0.001419534,0.432802],"study_design_scores_gemma":[0.001099841,0.0001764449,0.04652309,0.0001440185,0.0001413233,0.00009501082,0.00004874665,0.0002152687,0.08169259,0.8689376,0.0003910413,0.0005350014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7071462,0.0003800518,0.2856357,0.0005197065,0.000110566,0.000212111,0.00003739202,0.0002426068,0.005715661],"genre_scores_gemma":[0.9764211,0.00005196632,0.02281067,0.00003218084,0.00004923421,0.00001282142,8.381029e-7,0.0000317693,0.0005894354],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.432267,"threshold_uncertainty_score":0.4990629,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2051405770","doi":"10.1023/a:1026225630954","title":"Operator Semigroups for which Reducibility Implies Decomposability","year":2003,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","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":"Dalhousie University; University of Prince Edward Island","funders":"","keywords":"Operator theory; Mathematics; Bounded function; Linear subspace; Multiplicative function; Multiplication (music); Potential theory; Pure mathematics; Discrete mathematics; Bounded operator; Invariant (physics); Operator norm; Semigroup; Combinatorics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.03940347123593504,"gpt":0.3571420818063183,"spread":0.3177386105703832,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002503946,0.0002549281,0.0004185894,0.00003514098,0.0002535046,0.00003619553,0.0001774229,0.0001216541,0.0000897535],"category_scores_gemma":[0.007263595,0.0002389413,0.0001419071,0.0002016001,0.000128595,0.0002610321,0.00005998532,0.0002009441,0.00001549422],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002292808,"about_ca_system_score_gemma":0.0001046714,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001422759,"about_ca_topic_score_gemma":0.0002937402,"domain_scores_codex":[0.9980085,0.0004189327,0.0003195306,0.0006034172,0.0001791348,0.0004704246],"domain_scores_gemma":[0.9958847,0.00267956,0.0001126936,0.0009837481,0.0001976304,0.0001416283],"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":[0.0004267332,0.002144087,0.0205798,0.0007829542,0.0001734939,0.00000461279,0.001740764,0.00004214634,0.06843022,0.8983504,0.002072926,0.00525191],"study_design_scores_gemma":[0.0006953435,0.0001215654,0.004230547,0.00002466545,0.00006262887,0.00002074508,0.0002403674,0.0001241848,0.1604653,0.8320757,0.001528495,0.0004104513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9083662,0.00005604954,0.08490749,0.0002483616,0.0001801685,0.0009515887,0.00008357147,0.0002143705,0.004992185],"genre_scores_gemma":[0.9284992,0.000003896796,0.07102506,0.00006900402,0.00005984144,0.0001378759,0.000007239913,0.00003971367,0.0001581164],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09203504,"threshold_uncertainty_score":0.9743745,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4392950004","doi":"10.1007/s11117-024-01044-5","title":"Discrete stopping times in the lattice of continuous functions","year":2024,"lang":"en","type":"article","venue":"Positivity","topic":"Advanced Banach Space Theory","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":"University of Alberta","funders":"","keywords":"Potential theory; Lattice (music); Operator theory; Mathematics; Statistical physics; Physics; Discrete mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.02376405344829851,"gpt":0.3238739473779712,"spread":0.3001098939296727,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006653325,0.00007964927,0.0001453702,0.00005492102,0.00004187676,0.00002062179,0.00009635612,0.00003030813,0.00003690115],"category_scores_gemma":[0.00025269,0.00005534393,0.00005797634,0.0002011384,0.00007175792,0.0001356049,0.00003704688,0.0001813231,0.00002376119],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002971588,"about_ca_system_score_gemma":0.00001739142,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003347365,"about_ca_topic_score_gemma":0.00009417619,"domain_scores_codex":[0.999308,0.0001768476,0.0001291714,0.0001234802,0.0001264722,0.0001360047],"domain_scores_gemma":[0.9979969,0.00170674,0.00003657091,0.0002265243,0.00001865915,0.00001464337],"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":[0.00004118279,0.000175889,0.0008014214,0.0003611095,0.00008499109,0.0000794441,0.006676608,0.00004923197,0.008563671,0.974011,0.001374897,0.007780537],"study_design_scores_gemma":[0.000423347,0.0001523155,0.008419871,0.0007450415,0.0002673855,0.00008113536,0.004495469,0.00348607,0.005589016,0.9728969,0.003065347,0.0003781331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8310608,0.0006930742,0.1119447,0.002346388,0.0002337159,0.0004504756,0.00006267831,0.0001963037,0.05301187],"genre_scores_gemma":[0.9971658,0.000003572943,0.001506537,0.00003956943,0.00004384674,0.00001393468,0.00000204978,0.00001309399,0.001211611],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.166105,"threshold_uncertainty_score":0.225686,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3203715069","doi":"10.1007/s11117-022-00928-8","title":"A four-mean theorem and its application to pseudospectra","year":2022,"lang":"en","type":"article","venue":"Positivity","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Combinatorics; Mathematics; Integer (computer science); Polynomial; Zero (linguistics); Potential theory; Physics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.05647830301065556,"gpt":0.3254280200908226,"spread":0.2689497170801671,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004872835,0.00009258955,0.0001459004,0.00003209482,0.0002946513,0.00002326388,0.0001244164,0.00001858174,0.0002291537],"category_scores_gemma":[0.00007372129,0.00008966781,0.00003691041,0.0001636025,0.00001523599,0.00003754069,0.000189309,0.00011537,0.00003256668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004636357,"about_ca_system_score_gemma":0.000008592711,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001894023,"about_ca_topic_score_gemma":0.00001271948,"domain_scores_codex":[0.9991868,0.00008066275,0.0001612952,0.0002122423,0.0001931896,0.0001658618],"domain_scores_gemma":[0.9991653,0.0003991846,0.00005574413,0.0002558956,0.00002767363,0.00009622432],"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":[0.000007126376,0.0001246788,0.00001979475,0.00003982656,0.000008327021,9.4492e-7,0.0009026969,0.000003383988,0.005750501,0.9911482,0.0003723741,0.001622183],"study_design_scores_gemma":[0.000137834,0.00006864247,0.0003933229,0.000006981199,0.00002622648,0.00003365383,0.0002564761,0.004333227,0.003343137,0.9886917,0.002532137,0.0001766468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8687054,0.00002714466,0.1094162,0.004149693,0.000026169,0.001020873,0.0001256296,0.0001717582,0.01635717],"genre_scores_gemma":[0.9940112,0.000001440407,0.004371068,0.0003475538,0.0000445144,0.0006275081,0.000004936457,0.00001693572,0.0005748632],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1253058,"threshold_uncertainty_score":0.3656547,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}