{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":18,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":18,"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":"7f93af5a2e0d","filters":{"venue":"Acta Scientiarum Mathematicarum"}},"results":[{"id":"W2810420144","doi":"10.14232/actasm-018-267-7","title":"Linear disjointness preservers of operator algebras and related structures","year":2018,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":23,"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":"Mathematics; Linear operators; Operator (biology); Pure mathematics; Mathematical analysis; Chemistry","authors":[{"name":"Jung-Hui Liu","is_ca":false},{"name":"Chun-Yen Chou","is_ca":false},{"name":"Ching-Jou Liao","is_ca":true},{"name":"Ngai‐Ching Wong","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03369615220156482,"gpt":0.3464936497647743,"spread":0.3127974975632095,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003325358,0.001399131,0.001240729,0.003952795,0.00411443,0.005832834,0.002103479,0.001824144,0.008779407],"category_scores_gemma":[0.005751525,0.001110717,0.002378344,0.002612366,0.007538842,0.01302606,0.006508468,0.005344404,0.0009601525],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001940192,"about_ca_system_score_gemma":0.001236651,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001319797,"about_ca_topic_score_gemma":0.001115364,"domain_scores_codex":[0.9973199,0.0006823969,0.0001934487,0.0005978416,0.000691982,0.0005144973],"domain_scores_gemma":[0.9937219,0.002530574,0.0009741749,0.0006366229,0.0008745931,0.001262027],"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":[0.00003310115,0.00002421309,0.0001496127,0.00001948311,0.00001386326,0.00005457181,0.0003234974,0.0001601207,0.0005023581,0.997188,0.0002094341,0.001321692],"study_design_scores_gemma":[0.00001606849,0.00001685573,0.0001372013,0.000005259296,0.00001200822,0.00006720821,0.000119785,0.0008263739,0.0003910956,0.9976553,0.0007430596,0.000009843291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6152494,0.002041664,0.2511505,0.003165663,0.0006027923,0.0001017044,0.0005887405,0.0004596303,0.1266398],"genre_scores_gemma":[0.9397134,0.0009986195,0.02855468,0.0006419668,0.0008888998,0.0001510747,0.0006774347,0.0002456381,0.02812826],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008779407,"threshold_uncertainty_score":0.02937007,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4234770754","doi":"10.14232/actasm-013-821-3","title":"Hiroshima’s theorem and matrix norm inequalities","year":2015,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":20,"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 Victoria","funders":"","keywords":"Mathematics; Norm (philosophy); Inequality; Pure mathematics; Calculus (dental); Mathematical analysis","authors":[{"name":"Minghua Lin","is_ca":true},{"name":"Henry Wolkowicz","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02786917884636361,"gpt":0.2714586892916496,"spread":0.243589510445286,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001840337,0.0009883435,0.0009965426,0.001610912,0.0010793,0.001717554,0.001467772,0.001266953,0.00686646],"category_scores_gemma":[0.005882089,0.0003875768,0.001067362,0.001836705,0.003097651,0.005274074,0.002297275,0.005038682,0.0007150222],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001169329,"about_ca_system_score_gemma":0.0007757077,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00268572,"about_ca_topic_score_gemma":0.001905299,"domain_scores_codex":[0.9993474,0.0002359987,0.00002889699,0.0001498887,0.0001683009,0.00006942162],"domain_scores_gemma":[0.998174,0.001162954,0.000117007,0.0001406141,0.0003148169,0.00009061473],"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":[0.00003698734,0.00001481612,0.0001228861,0.00009537153,0.00002374773,0.00006587433,0.0001473116,0.00192591,0.0006407558,0.9846976,0.002763592,0.009465178],"study_design_scores_gemma":[0.00001431242,0.00001315239,0.0002073485,0.00001509978,0.00001263652,0.0000549117,0.00004421074,0.009880403,0.0002408424,0.981708,0.00779805,0.00001110521],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0510561,0.01658087,0.7404333,0.02260268,0.003065337,0.00005007298,0.0005128598,0.0001380695,0.1655607],"genre_scores_gemma":[0.7383069,0.01817095,0.1526513,0.004764786,0.005452769,0.0003060421,0.0005616573,0.0002382234,0.07954736],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.00686646,"threshold_uncertainty_score":0.02297056,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2555442051","doi":"10.14232/actasm-015-056-y","title":"Homomorphisms and principal congruences of bounded lattices I. Isotone maps of principal congruences","year":2016,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Algebra and Logic","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 Manitoba","funders":"","keywords":"Homomorphism; Bounded function; Congruence relation; Mathematics; Combinatorics; Converse; Order (exchange); Discrete mathematics; Pure mathematics; Mathematical analysis","authors":[{"name":"G. Grätzer","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01657157532648238,"gpt":0.2487198530513874,"spread":0.232148277724905,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001786035,0.0005483117,0.0006086996,0.002272598,0.002194907,0.004409975,0.0007047437,0.000862475,0.004270696],"category_scores_gemma":[0.004256005,0.0005825509,0.001035772,0.001464352,0.007179781,0.008725911,0.00389137,0.003408484,0.0007842522],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001475756,"about_ca_system_score_gemma":0.0008277699,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001132448,"about_ca_topic_score_gemma":0.0006116425,"domain_scores_codex":[0.9984491,0.0004161275,0.0001105146,0.0003213923,0.0004089336,0.0002938651],"domain_scores_gemma":[0.9970893,0.001252808,0.0003157271,0.0002878034,0.0005094457,0.0005449724],"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":[0.00003498436,0.00001985856,0.0001332738,0.00002386894,0.000003273131,0.00004501915,0.0003671842,0.0001323141,0.0009666979,0.9955907,0.000281813,0.002401147],"study_design_scores_gemma":[0.0000158153,0.00002427182,0.0002393011,0.000008656548,0.0000054697,0.00008312176,0.0001717948,0.0008226905,0.0008721526,0.99531,0.002435436,0.00001121614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5526056,0.004737356,0.2376234,0.003572616,0.0008168028,0.0001325928,0.0004044192,0.0005762138,0.1995309],"genre_scores_gemma":[0.9597852,0.001116316,0.01978154,0.0002458735,0.0005346547,0.00009441572,0.0001812415,0.00007794629,0.01818284],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004409975,"threshold_uncertainty_score":0.01428694,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4205824965","doi":"10.1007/bf03592965","title":"Corrigendum to “Union problems for I0 sets”","year":2010,"lang":"en","type":"erratum","venue":"Acta Scientiarum Mathematicarum","topic":"Mathematics and Applications","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; University of British Columbia","funders":"","keywords":"Mathematics; Mathematics education","authors":[{"name":"Colin C. Graham","is_ca":true},{"name":"Kathryn E. Hare","is_ca":true},{"name":"L. Thomas Ramsey","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07249793858354565,"gpt":0.3379508898124266,"spread":0.265452951228881,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003321746,0.003083509,0.00312232,0.00629009,0.005180445,0.00555201,0.004958206,0.006175476,0.07761087],"category_scores_gemma":[0.03902176,0.001258951,0.003477733,0.005359523,0.00327913,0.00616181,0.003060337,0.008014336,0.03501963],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.006986694,"about_ca_system_score_gemma":0.00363394,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01636365,"about_ca_topic_score_gemma":0.01884603,"domain_scores_codex":[0.9939578,0.001456914,0.0007963511,0.0008968139,0.002457305,0.000434785],"domain_scores_gemma":[0.9822041,0.005477382,0.0004782419,0.001536663,0.009679861,0.0006237772],"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":[0.00003097757,0.000009546291,0.00003275242,0.0002003146,0.0000149228,0.00007543968,0.00002213685,0.00009148176,0.00003764015,0.006202842,0.9882147,0.005067254],"study_design_scores_gemma":[0.00004955584,0.00004385877,0.001061781,0.0004120494,0.00009716304,0.0003342939,0.00009298227,0.0008846235,0.0003377627,0.02915313,0.9674809,0.00005193121],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"editorial","genre_gemma":"other","genre_scores_codex":[0.0002596009,0.005017953,0.002213493,0.06073347,0.8981045,0.00004420319,0.0007739287,0.0003393259,0.03251347],"genre_scores_gemma":[0.0182863,0.0165415,0.007351652,0.07926634,0.4315441,0.0004224807,0.003630654,0.001708226,0.4412487],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.07761087,"threshold_uncertainty_score":0.2596342,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2799438160","doi":"10.1007/bf03651353","title":"Disc-polygonal approximations of planar spindle convex sets","year":2012,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Inscribed figure; Perimeter; Regular polygon; Hausdorff distance; Planar; Subderivative; Geometry; Convex combination; Combinatorics; Mathematical analysis; Convex optimization; Computer science","authors":[{"name":"Ferenc Fodor","is_ca":true},{"name":"Viktor Vígh","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07695339488561505,"gpt":0.3392841214868441,"spread":0.2623307266012291,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009765606,0.0006920673,0.0008708693,0.002172607,0.0006951205,0.00309872,0.001665233,0.0008251856,0.004341739],"category_scores_gemma":[0.00888707,0.0005469754,0.0007449111,0.001262987,0.001797521,0.001763545,0.002053379,0.002303137,0.0004310232],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001924059,"about_ca_system_score_gemma":0.0004408216,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003183732,"about_ca_topic_score_gemma":0.002149524,"domain_scores_codex":[0.9994069,0.0001765755,0.00003077751,0.00007007991,0.0002442156,0.00007143542],"domain_scores_gemma":[0.9971256,0.001681056,0.0004299027,0.0001720822,0.000371488,0.0002198481],"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":[0.0001325667,0.00002880803,0.001075663,0.000133932,0.00002104893,0.000123081,0.000433447,0.06437781,0.001453473,0.9178044,0.001297016,0.01311888],"study_design_scores_gemma":[0.00002608544,0.00006132619,0.001036792,0.00007221796,0.00002082576,0.0001921358,0.0003457393,0.5631115,0.00108679,0.4271734,0.006852784,0.00002051134],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3304517,0.001386467,0.5988786,0.001016631,0.0001849996,0.0001056889,0.0005197492,0.0001438424,0.06731237],"genre_scores_gemma":[0.8975668,0.00107853,0.08210376,0.0001354662,0.0001091203,0.0001191659,0.0006718711,0.0000960593,0.01811931],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004341739,"threshold_uncertainty_score":0.01452458,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2625648138","doi":"10.14232/actasm-016-514-2","title":"Lattices with unique complementation","year":2017,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Complementation; Statistical physics; Physics; Biology; Genetics","authors":[{"name":"Ivan Chajda","is_ca":false},{"name":"R. Padmanabhan","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02632966448809465,"gpt":0.2914280191593485,"spread":0.2650983546712539,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002089899,0.001201658,0.002210917,0.003878695,0.00711117,0.008693691,0.001406805,0.002097457,0.01953212],"category_scores_gemma":[0.006517048,0.001107101,0.002037806,0.003560291,0.008454951,0.0138843,0.00769477,0.006551411,0.003744478],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002952977,"about_ca_system_score_gemma":0.002555222,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001518105,"about_ca_topic_score_gemma":0.001212049,"domain_scores_codex":[0.9962748,0.001102328,0.0002522509,0.0007901188,0.0009691472,0.0006113501],"domain_scores_gemma":[0.9954553,0.001864817,0.0003529295,0.0007471619,0.0009070968,0.0006727328],"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":[0.00001947412,0.000006957266,0.00003199732,0.00001479595,0.000003400337,0.00002563731,0.00007993371,0.00007971286,0.00009592529,0.9967541,0.001104256,0.0017837],"study_design_scores_gemma":[0.000008803287,0.000003279868,0.00002099107,0.000006533879,0.000004341446,0.00009641417,0.00006822569,0.0002793654,0.0001808662,0.9954151,0.003908688,0.000007355162],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1300531,0.002977261,0.2231387,0.01272899,0.002488714,0.0001773429,0.002037813,0.001600308,0.6247978],"genre_scores_gemma":[0.8190892,0.001488821,0.07883355,0.001966009,0.0012321,0.0002895878,0.00173083,0.0007558835,0.09461403],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01953212,"threshold_uncertainty_score":0.06534141,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2810681491","doi":"10.14232/actasm-017-323-8","title":"Gleason–Kahane–Zelazko theorems in function spaces","year":2018,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Invertible matrix; Pure mathematics; Banach space; Eberlein–Šmulian theorem; Scalar (mathematics); Character (mathematics); Banach algebra; Algebra over a field; Lp space","authors":[{"name":"Javad Mashreghi","is_ca":true},{"name":"Thomas Ransford","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03132815110847271,"gpt":0.2973724272710822,"spread":0.2660442761626094,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002093491,0.001257651,0.001105474,0.003434401,0.001659289,0.002772101,0.001343968,0.001641949,0.008296932],"category_scores_gemma":[0.004956701,0.0004505889,0.001410949,0.002087563,0.005017699,0.007666832,0.003164046,0.004683045,0.001134783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001634447,"about_ca_system_score_gemma":0.0008558832,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001332149,"about_ca_topic_score_gemma":0.001187324,"domain_scores_codex":[0.9993993,0.0001967409,0.00003435566,0.0001215007,0.0001518327,0.00009634234],"domain_scores_gemma":[0.9983328,0.0008585237,0.0001681166,0.0002021106,0.0002392043,0.0001992192],"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":[0.00001093687,0.000006352841,0.0000819858,0.00003353468,0.000008370106,0.00002475078,0.0001108394,0.0003892677,0.0002334162,0.9955294,0.001034104,0.002536974],"study_design_scores_gemma":[0.00000830874,0.000004128475,0.0001784532,0.00000621129,0.000005846994,0.000031853,0.00003723463,0.001152508,0.0001010421,0.9955787,0.002890587,0.000005072777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2104081,0.01827835,0.4149474,0.02132571,0.002205859,0.00008422609,0.0008291392,0.0004934596,0.3314278],"genre_scores_gemma":[0.8562308,0.009392659,0.05912695,0.002520329,0.001978385,0.0001519499,0.0004620007,0.0003392946,0.06979752],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008296932,"threshold_uncertainty_score":0.02775604,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4400849175","doi":"10.1007/s44146-024-00152-8","title":"On the geometry of the Birkhoff polytope I: the operator $$\\ell ^p_n$$-norms","year":2024,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Combinatorial Mathematics","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":"Université TÉLUQ; Université Laval","funders":"Fulbright U.S. Scholar Program","keywords":"Mathematics; Polytope; Geometry; Operator (biology); Combinatorics; Birkhoff polytope; Regular polygon","authors":[{"name":"Ludovick Bouthat","is_ca":true},{"name":"Javad Mashreghi","is_ca":true},{"name":"Frédéric Morneau-Guérin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02827103197955512,"gpt":0.2928533078623701,"spread":0.264582275882815,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001024015,0.0009140549,0.0007091481,0.002438659,0.001995647,0.00350389,0.001395387,0.0009878394,0.009116553],"category_scores_gemma":[0.002487636,0.0003624584,0.0006235871,0.001030215,0.004557141,0.005620591,0.002715255,0.003513129,0.001212707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001705796,"about_ca_system_score_gemma":0.0007962024,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002136938,"about_ca_topic_score_gemma":0.001157181,"domain_scores_codex":[0.9992107,0.0002253266,0.00003062015,0.0001613668,0.0002425324,0.0001293786],"domain_scores_gemma":[0.9987454,0.0004802779,0.0001699031,0.00006441451,0.0002284904,0.0003114423],"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":[0.00001532843,0.000007370819,0.00004735103,0.00001523894,0.00000213836,0.0000175766,0.00007614763,0.0003774178,0.0003093478,0.9964264,0.0007784648,0.001927143],"study_design_scores_gemma":[0.000007685798,0.00001823373,0.0001629345,0.00001398386,0.000003171583,0.00007065611,0.00009074345,0.003417182,0.0003151662,0.9916598,0.00422706,0.00001332622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2725738,0.005101889,0.2819102,0.006238807,0.001679556,0.00007407208,0.0007019993,0.0002654124,0.4314542],"genre_scores_gemma":[0.9139806,0.003413924,0.03510612,0.0008622012,0.00126053,0.000116738,0.0005135331,0.0002398966,0.04450649],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009116553,"threshold_uncertainty_score":0.03049791,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3205077456","doi":"10.14232/actasm-021-465-4","title":"Orthonormal polynomial basis in local Dirichlet spaces","year":2021,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Mathematical functions and polynomials","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":"Université Laval","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Orthogonal polynomials; Discrete orthogonal polynomials; Classical orthogonal polynomials; Orthogonal basis; Pure mathematics; Dirichlet distribution; Orthonormal basis; Combinatorics; Mathematical analysis","authors":[{"name":"Emmanuel Fricain","is_ca":false},{"name":"Javad Mashreghi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03215861280796126,"gpt":0.2965944309561965,"spread":0.2644358181482352,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001659574,0.001087022,0.001402981,0.003611153,0.00211668,0.004342908,0.001980006,0.001583757,0.009871127],"category_scores_gemma":[0.003442078,0.0006257348,0.0007110179,0.002490961,0.003757171,0.00395798,0.00297049,0.003362889,0.00216959],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002020277,"about_ca_system_score_gemma":0.001039612,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001538946,"about_ca_topic_score_gemma":0.001377759,"domain_scores_codex":[0.9988231,0.0004408838,0.0000408837,0.0001929678,0.0002937034,0.0002084493],"domain_scores_gemma":[0.9985359,0.0003840877,0.0001601241,0.000162986,0.0003716142,0.0003853149],"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":[0.00001359488,0.00001155275,0.00003144579,0.00001520178,0.000002769148,0.00001748113,0.00007398071,0.0004302754,0.0003021643,0.9964077,0.0006186626,0.002075172],"study_design_scores_gemma":[0.00001107047,0.0000128709,0.0001174802,0.000009446446,0.000004890956,0.00005545777,0.00008670724,0.006695675,0.000259262,0.9904444,0.002289069,0.00001368397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3168438,0.003979044,0.428051,0.005281392,0.00181172,0.00009677909,0.0007594565,0.0005574125,0.2426194],"genre_scores_gemma":[0.8575019,0.002463741,0.05012477,0.0006183588,0.001557997,0.0001317676,0.0005147082,0.0004191259,0.08666769],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009871127,"threshold_uncertainty_score":0.03302222,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2192980991","doi":"10.1007/bf03549817","title":"Notes on planar semimodular lattices. V. Cover-preserving embeddings of finite semimodular lattices into simple semimodular lattices","year":2010,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Hermeneutics and Narrative Identity","field":"Arts and Humanities","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa; University of Manitoba","funders":"","keywords":"Simple (philosophy); Combinatorics; Planar; Cover (algebra); Mathematics; Computer science; Engineering; Philosophy","authors":[{"name":"George Grätzer","is_ca":true},{"name":"T. Wares","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02417405100507128,"gpt":0.265674235416856,"spread":0.2415001844117848,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005371542,0.0005026109,0.0004852349,0.0010157,0.001456238,0.002944636,0.0006428157,0.0007857075,0.0112267],"category_scores_gemma":[0.002040608,0.0003942701,0.0006120714,0.001584702,0.003191947,0.005575736,0.002202835,0.00312076,0.001343164],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001716528,"about_ca_system_score_gemma":0.0004365487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001687879,"about_ca_topic_score_gemma":0.001343144,"domain_scores_codex":[0.9995535,0.0001062297,0.00002425951,0.0000818586,0.0001518186,0.00008228439],"domain_scores_gemma":[0.9992272,0.0004330905,0.00008304955,0.00006956342,0.0001009278,0.00008626699],"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":[0.00001605162,0.000006218076,0.00003286781,0.00003344073,0.000002694005,0.0000304544,0.0001529918,0.0004293909,0.0002959576,0.9934531,0.001604977,0.003941806],"study_design_scores_gemma":[0.0000103371,0.00001990657,0.0001182738,0.00001161673,0.000003625743,0.00007625083,0.0001456316,0.0007176672,0.000295116,0.9847193,0.01387522,0.000006984951],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1685353,0.008168931,0.184149,0.009474698,0.001206958,0.00009677758,0.001353942,0.00045936,0.6265551],"genre_scores_gemma":[0.882648,0.004316645,0.04006298,0.001443002,0.0009044306,0.0001553335,0.0007270905,0.0001618219,0.06958072],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0112267,"threshold_uncertainty_score":0.03755701,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2946356396","doi":"10.14232/actasm-017-060-9","title":"Minimal representations of a finite distributive lattice by principal congruences of a lattice","year":2019,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Congruence relation; Distributive lattice; Mathematics; Lattice (music); Distributive property; Congruence (geometry); Pure mathematics; Isomorphism (crystallography); Congruence lattice problem; Combinatorics; Physics; Crystal structure; Geometry; Crystallography","authors":[{"name":"George Grätzer","is_ca":true},{"name":"H. Lakser","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01258875602630178,"gpt":0.2674118391332062,"spread":0.2548230831069044,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001683959,0.0007966198,0.001297739,0.001870789,0.002880793,0.00706339,0.001774188,0.0013221,0.006134704],"category_scores_gemma":[0.002900237,0.000975061,0.001449851,0.001647567,0.004717615,0.005966123,0.003010802,0.002937632,0.0008654547],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001681673,"about_ca_system_score_gemma":0.0009901342,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009955391,"about_ca_topic_score_gemma":0.001085108,"domain_scores_codex":[0.997918,0.0005379875,0.0001367122,0.0003494944,0.0006445118,0.0004133269],"domain_scores_gemma":[0.9978557,0.0008284715,0.0002444999,0.0002629862,0.0002804299,0.0005279461],"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":[0.00007619996,0.00003983561,0.0001234336,0.00001887622,0.000007970619,0.00008421136,0.0003734739,0.000469282,0.00153719,0.9948801,0.0002840172,0.002105408],"study_design_scores_gemma":[0.00005225047,0.00002952464,0.0001167687,0.000007739543,0.000009690378,0.0001131479,0.0001347873,0.004329498,0.001066551,0.9924481,0.001676618,0.00001540534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5653184,0.0006964003,0.3450825,0.001407806,0.0004031355,0.0001253893,0.0004409261,0.0007178229,0.08580767],"genre_scores_gemma":[0.9325046,0.0002268032,0.0502166,0.0001471727,0.0003107115,0.000135921,0.000329893,0.000216636,0.0159117],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00706339,"threshold_uncertainty_score":0.02052265,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4400777855","doi":"10.1007/s44146-024-00153-7","title":"On the geometry of the Birkhoff polytope II: the Schatten p-norms","year":2024,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université TÉLUQ; Université Laval","funders":"Fulbright U.S. Scholar Program","keywords":"Mathematics; Polytope; Geometry; Combinatorics","authors":[{"name":"Ludovick Bouthat","is_ca":true},{"name":"Javad Mashreghi","is_ca":true},{"name":"Frédéric Morneau-Guérin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01172624588773863,"gpt":0.2274150619354962,"spread":0.2156888160477576,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001618076,0.001087169,0.0007876952,0.003218194,0.001386531,0.003470519,0.001530164,0.001155446,0.007579254],"category_scores_gemma":[0.006000432,0.0004789652,0.0006600271,0.001330495,0.004664458,0.005644922,0.002906343,0.004179183,0.001254768],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001312012,"about_ca_system_score_gemma":0.0008665984,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001844909,"about_ca_topic_score_gemma":0.001164096,"domain_scores_codex":[0.9991616,0.0002846794,0.00003861851,0.0001499843,0.0002712805,0.00009381097],"domain_scores_gemma":[0.9974038,0.001363751,0.0002658409,0.0001437431,0.0004243137,0.000398489],"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":[0.00003009498,0.00001102128,0.0001121482,0.00003854966,0.000005037809,0.00002597112,0.0001215552,0.002525476,0.0006201093,0.9893999,0.001185343,0.00592488],"study_design_scores_gemma":[0.000008034751,0.00002624796,0.0002006084,0.00002490794,0.000004735772,0.00006730231,0.00007464671,0.0140605,0.0004119286,0.9813007,0.00380374,0.00001664295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1949047,0.008072766,0.607694,0.004714435,0.001196569,0.00008855488,0.0006752572,0.0002332158,0.1824206],"genre_scores_gemma":[0.8660159,0.006143944,0.08197619,0.000900085,0.001196972,0.0001806585,0.0006315793,0.0003639253,0.04259078],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007579254,"threshold_uncertainty_score":0.02535516,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4205805488","doi":"10.1007/bf03651317","title":"Equality in László Fejes Tóth’s triangle bound for hyperbolic surfaces","year":2011,"lang":"hu","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Mathematical Approximation and Integration","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 Toronto","funders":"","keywords":"Mathematics; Hyperbolic triangle; Surface (topology); Upper and lower bounds; Geometry; Pure mathematics; Combinatorics; Mathematical analysis; Hyperbolic function; Hyperbolic manifold","authors":[{"name":"Christophe Bavard","is_ca":false},{"name":"Károly J. Böröczky","is_ca":false},{"name":"B. Farkas","is_ca":false},{"name":"István Prok","is_ca":false},{"name":"Lluís Vena","is_ca":true},{"name":"Gergely Wintsche","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.173372464773963,"gpt":0.3401587570131648,"spread":0.1667862922392018,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002158212,0.001090469,0.001648842,0.003451916,0.00291838,0.003724848,0.002295427,0.002875168,0.01535145],"category_scores_gemma":[0.01013805,0.0005503742,0.001269635,0.002592017,0.004127066,0.007889535,0.005542472,0.006362488,0.00226743],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003204732,"about_ca_system_score_gemma":0.0008147473,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004190716,"about_ca_topic_score_gemma":0.002547069,"domain_scores_codex":[0.9989305,0.0002653219,0.00005878381,0.00024015,0.0002735384,0.0002316923],"domain_scores_gemma":[0.997968,0.001168733,0.00009992878,0.0001941607,0.0003013582,0.0002677913],"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":[0.00003561662,0.000008899917,0.0001121952,0.00004186813,0.000005662956,0.00003798321,0.0001857649,0.0005127428,0.0002942465,0.9924777,0.00217453,0.004112761],"study_design_scores_gemma":[0.000007691779,0.000007545517,0.0001464025,0.00001686503,0.000007687723,0.00002865702,0.00006054538,0.004838252,0.0001941617,0.9909288,0.00375401,0.000009235532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.17689,0.00955931,0.3151807,0.01979523,0.003336352,0.00008477685,0.0006482367,0.0005548932,0.4739505],"genre_scores_gemma":[0.8686053,0.003117981,0.0347699,0.002850472,0.001791737,0.0001615774,0.0005344072,0.0006265389,0.08754207],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01535145,"threshold_uncertainty_score":0.05135572,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4323033497","doi":"10.1007/s44146-023-00058-x","title":"On slim rectangular lattices","year":2023,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Lattice (music); Planar; Mathematics; Combinatorics; Interval (graph theory); Dozen; Geometry; Physics; Arithmetic; Computer science; Computer graphics (images)","authors":[{"name":"George Grätzer","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01882019646909275,"gpt":0.2637364005889447,"spread":0.244916204119852,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007416593,0.0007513633,0.0009857842,0.001978418,0.002196064,0.003151854,0.001091193,0.000760538,0.01897828],"category_scores_gemma":[0.003122433,0.0006951636,0.0007979198,0.001691144,0.003287509,0.004323347,0.003596153,0.002311543,0.003021579],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001369537,"about_ca_system_score_gemma":0.0006703828,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001957155,"about_ca_topic_score_gemma":0.001889843,"domain_scores_codex":[0.9991983,0.0002191223,0.00004302287,0.0001274834,0.0002077109,0.0002044151],"domain_scores_gemma":[0.9985837,0.0005847564,0.0001895635,0.0001747217,0.0002040972,0.0002631625],"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":[0.00003573391,0.000007574995,0.00005637394,0.00002324811,0.00000280804,0.00003410606,0.000140888,0.0004775783,0.0002771276,0.9953808,0.0009722332,0.002591712],"study_design_scores_gemma":[0.00001567651,0.00001104146,0.00005817657,0.0000120402,0.000004201355,0.00005326062,0.0001225468,0.002490585,0.0002763144,0.9934921,0.003456146,0.000007884598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3998056,0.001663874,0.2327467,0.003765239,0.000927426,0.0001210145,0.001065997,0.001096327,0.3588078],"genre_scores_gemma":[0.8829542,0.0008788514,0.0404865,0.0007755223,0.000475334,0.0001346471,0.0007104755,0.0004396812,0.07314473],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01897828,"threshold_uncertainty_score":0.0634886,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2281129091","doi":"10.14232/actasm-016-518-4","title":"The ubiquity of Sidon sets that are not I0","year":2016,"lang":"en","type":"preprint","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Topology and Set 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 Waterloo","funders":"","keywords":"Abelian group; Group (periodic table); Set (abstract data type); Mathematics; Combinatorics; Discrete mathematics; Computer science; Physics","authors":[{"name":"Kathryn E. Hare","is_ca":true},{"name":"L. Thomas Ramsey","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07565299305949105,"gpt":0.3498808611307564,"spread":0.2742278680712654,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001136779,0.0004110634,0.0006342125,0.00321458,0.003848458,0.007698426,0.001196818,0.00152927,0.00970239],"category_scores_gemma":[0.007838926,0.0005399905,0.0006187776,0.004255672,0.006041884,0.008399177,0.00436755,0.001753755,0.001523168],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001421121,"about_ca_system_score_gemma":0.0007164706,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001046779,"about_ca_topic_score_gemma":0.0008740299,"domain_scores_codex":[0.9986647,0.0001718473,0.00009607141,0.0005124719,0.0003634599,0.0001914513],"domain_scores_gemma":[0.9934082,0.002281681,0.0008865125,0.001814691,0.00106854,0.0005403384],"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":[0.00007394852,0.00001037045,0.00466468,0.000111709,0.00001636709,0.0003227069,0.00163268,0.0001582533,0.002631444,0.9683324,0.002252943,0.01979256],"study_design_scores_gemma":[0.00001323222,0.00004247245,0.007156032,0.0001553422,0.00003988133,0.003358844,0.003394763,0.001387036,0.004340917,0.8582929,0.1217741,0.00004445385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5179603,0.005516224,0.08566188,0.005112466,0.001489015,0.00003247311,0.001475605,0.0007242097,0.3820279],"genre_scores_gemma":[0.967796,0.001103863,0.01301755,0.0004846567,0.0002794994,0.00002684429,0.000912379,0.0001322084,0.01624691],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00970239,"threshold_uncertainty_score":0.03245771,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2779115047","doi":"10.1007/bf03651379","title":"Universal expansions and determinacy for finitely generated varieties of dp-algebras","year":2012,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Determinacy; Mathematics; Finitely-generated abelian group; Pure mathematics; Variety (cybernetics); Algebra over a field; Mathematical analysis; Statistics","authors":[{"name":"Vácłav Koubek","is_ca":false},{"name":"J. Sichler","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02469433260542927,"gpt":0.2566584973593244,"spread":0.2319641647538951,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002987185,0.0005628748,0.001529603,0.003088024,0.004368735,0.004944564,0.001641696,0.001366341,0.003874583],"category_scores_gemma":[0.007082982,0.001168706,0.002220238,0.00216126,0.007330544,0.009829986,0.005198852,0.005125647,0.0003739927],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002367162,"about_ca_system_score_gemma":0.001202525,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001307487,"about_ca_topic_score_gemma":0.001450798,"domain_scores_codex":[0.9967937,0.0006969509,0.0002444287,0.0007352105,0.0007781525,0.0007514744],"domain_scores_gemma":[0.9952185,0.002898056,0.0003950108,0.0005071213,0.000487931,0.0004933112],"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":[0.00003493416,0.00001551695,0.0003385986,0.00002125828,0.00001025874,0.00008440673,0.0003935073,0.000435801,0.0003901109,0.9962233,0.0001256613,0.001926526],"study_design_scores_gemma":[0.00001433132,0.000008923299,0.0002955149,0.000008475945,0.00001398741,0.0000843316,0.00009031676,0.001307709,0.0004124607,0.9968613,0.0008865066,0.00001604086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7098611,0.00215377,0.2144972,0.001957459,0.000180824,0.00008428931,0.0005441107,0.0004540769,0.07026721],"genre_scores_gemma":[0.980956,0.0003970496,0.01157636,0.0001628735,0.0001632487,0.00006907622,0.0002384556,0.00007384333,0.00636309],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004944564,"threshold_uncertainty_score":0.01717508,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2787342992","doi":"10.14232/actasm-018-769-7","title":"Multipliers between range spaces of co-analytic Toeplitz operators","year":2019,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Holomorphic and Operator 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":"Toronto Metropolitan University","funders":"Agence Nationale de la Recherche","keywords":"Toeplitz matrix; Range (aeronautics); Mathematics; Operator theory; Pure mathematics; Materials science","authors":[{"name":"Andreas Hartmann","is_ca":false},{"name":"William T. Ross","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0357570825202358,"gpt":0.3112465148483375,"spread":0.2754894323281017,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001604828,0.001100889,0.0007119132,0.004173618,0.001395451,0.004116125,0.001163368,0.001296455,0.008624676],"category_scores_gemma":[0.004739685,0.0005638322,0.0006703681,0.001451771,0.002133623,0.006659011,0.002786117,0.002991723,0.0009491],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00105131,"about_ca_system_score_gemma":0.0005152381,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002282641,"about_ca_topic_score_gemma":0.0002276475,"domain_scores_codex":[0.9990829,0.0002927603,0.00004960149,0.0001359169,0.0002904463,0.0001483576],"domain_scores_gemma":[0.9977103,0.000956013,0.0003391375,0.0001474877,0.0003420292,0.0005049988],"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":[0.00002601273,0.00001854792,0.00007144402,0.00001831867,0.000006918087,0.00006283663,0.0001313662,0.0003492689,0.001163412,0.9962081,0.0002389781,0.001704816],"study_design_scores_gemma":[0.00002583861,0.00003886025,0.0002769653,0.00001503037,0.00000988049,0.0002098138,0.0001785096,0.005555792,0.001014699,0.9911216,0.00153721,0.00001574596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5575636,0.002707825,0.3072728,0.002366239,0.0005521564,0.0001411297,0.0003267798,0.0003217396,0.1287477],"genre_scores_gemma":[0.9270331,0.001145493,0.032194,0.0003053701,0.0007459426,0.0001745256,0.0001977555,0.0001564385,0.03804735],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008624676,"threshold_uncertainty_score":0.0288524,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4404840635","doi":"10.1007/s44146-024-00170-6","title":"Matrix convexity and unitary power dilations of Toeplitz-contractive operator tuples","year":2024,"lang":"en","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Toeplitz matrix; Mathematics; Convexity; Unitary state; Tuple; Pure mathematics; Unitary operator; Unitary matrix; Discrete mathematics","authors":[{"name":"Douglas Farenick","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02565287155697672,"gpt":0.3260604068109867,"spread":0.30040753525401,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001274172,0.0003668128,0.0004868957,0.0009599472,0.001096846,0.00217973,0.0003763126,0.0003754667,0.003729383],"category_scores_gemma":[0.003543173,0.0002859745,0.000563199,0.0004818318,0.003039586,0.00266343,0.001655455,0.001130547,0.0003571621],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008679165,"about_ca_system_score_gemma":0.000415696,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005911086,"about_ca_topic_score_gemma":0.0003669446,"domain_scores_codex":[0.998666,0.0003354995,0.0000744837,0.0003362596,0.000418055,0.0001696121],"domain_scores_gemma":[0.9972888,0.001045076,0.000439943,0.0002816518,0.0005276487,0.0004168984],"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":[0.00003871105,0.000009075209,0.0002357407,0.00001467746,0.00000563857,0.0001319872,0.0001877555,0.001523995,0.003929866,0.9905713,0.0003376182,0.003013659],"study_design_scores_gemma":[0.00001689506,0.00006905966,0.001349339,0.00001578326,0.000009342127,0.000355975,0.000344444,0.04562777,0.007398873,0.9394237,0.005353746,0.00003493357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5992235,0.0006199608,0.3493704,0.000612815,0.0001551699,0.00006500515,0.0001572053,0.0001414866,0.0496545],"genre_scores_gemma":[0.9692876,0.0002195599,0.02349527,0.0001266501,0.0001183714,0.00005516874,0.00008399338,0.00005881739,0.006554632],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003729383,"threshold_uncertainty_score":0.01247597,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}