{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":103,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":103,"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":"98144c5cd33c","filters":{"venue":"Bulletin of the Australian Mathematical Society"}},"results":[{"id":"W2096646970","doi":"10.1017/s0004972700038661","title":"Evaluation of two convolution sums involving the sum of divisors function","year":2006,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Convolution (computer science); Function (biology); Convolution power; Pure mathematics; Mathematical analysis; Fourier transform","authors":[{"name":"Mathieu F. Lemire","is_ca":true},{"name":"Kenneth S. Williams","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0742963986717339,"gpt":0.3275857208961128,"spread":0.2532893222243788,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002127061,0.001057277,0.001012834,0.001687553,0.001105796,0.004017985,0.001034654,0.0009721979,0.008471911],"category_scores_gemma":[0.007080534,0.0002960793,0.0008738734,0.001107754,0.002322786,0.003520632,0.002296846,0.001298753,0.001703019],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001578978,"about_ca_system_score_gemma":0.001390761,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005668949,"about_ca_topic_score_gemma":0.0007613552,"domain_scores_codex":[0.9980354,0.0003217825,0.0001187146,0.0001789734,0.0009985588,0.0003466392],"domain_scores_gemma":[0.9980425,0.0006280431,0.0001559596,0.0003010337,0.0006127607,0.000259681],"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":[0.0006503299,0.0001486287,0.002967302,0.0004318757,0.0001181043,0.001923826,0.0009388147,0.007702208,0.0358966,0.8331736,0.005612003,0.1104367],"study_design_scores_gemma":[0.00007194366,0.0002543713,0.005657741,0.0002449987,0.0001573629,0.004188349,0.0005686907,0.1349281,0.09814365,0.7130923,0.04246713,0.0002253646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2679265,0.001773789,0.5591264,0.000905456,0.001817376,0.0001414895,0.0002669325,0.001158672,0.1668833],"genre_scores_gemma":[0.7549295,0.0007983908,0.1795544,0.0003560109,0.000455962,0.0001197659,0.0004757651,0.001116402,0.06219373],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008471911,"threshold_uncertainty_score":0.02834135,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1984636682","doi":"10.1017/s0004972700034316","title":"Approximation by functions with bounded derivative on Banach spaces","year":2004,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Bounded function; Banach space; Separable space; Norm (philosophy); Derivative (finance); Pure mathematics; Uniform continuity; Bounded inverse theorem; Approximation property; Discrete mathematics; Bounded operator; Mathematical analysis","authors":[{"name":"R. Fry","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03104541416700255,"gpt":0.2722172759360887,"spread":0.2411718617690862,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002007305,0.0009359025,0.0008808089,0.001452967,0.0004607295,0.001716278,0.0006652111,0.0009391834,0.0008613413],"category_scores_gemma":[0.004933629,0.0003660495,0.0008351233,0.0009705371,0.002510847,0.002534764,0.002132752,0.001738318,0.0002377395],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001380935,"about_ca_system_score_gemma":0.0005934527,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00128353,"about_ca_topic_score_gemma":0.0006600217,"domain_scores_codex":[0.9989246,0.0004514043,0.00005755716,0.0001341615,0.0003283102,0.0001040719],"domain_scores_gemma":[0.9984192,0.0007722133,0.00021755,0.0001587516,0.0002405078,0.0001917499],"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":[0.0001994748,0.00002463487,0.0007781505,0.0001256831,0.00005545252,0.0001974777,0.0005464816,0.06127407,0.01481116,0.9066439,0.0005948393,0.01474872],"study_design_scores_gemma":[0.00002534269,0.0001589695,0.000844572,0.00004451057,0.00002341693,0.0002334635,0.0001346793,0.3532192,0.003761775,0.6375602,0.003963005,0.00003072221],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3229544,0.00368807,0.6596585,0.0008760018,0.0002180653,0.00003048082,0.00009335094,0.0002110118,0.01227028],"genre_scores_gemma":[0.9198526,0.00273375,0.06704711,0.0001269491,0.000166309,0.0000506639,0.000166585,0.00007235748,0.009783635],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002007305,"threshold_uncertainty_score":0.01061577,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1974036436","doi":"10.1017/s0004972700020232","title":"Amenability and topological centres of the second duals of Banach algebras","year":2002,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Dual polyhedron; Banach algebra; Dual (grammatical number); Pure mathematics; Locally compact group; Product (mathematics); Algebra over a field; Locally compact space; Banach space","authors":[{"name":"F. Ghahramani","is_ca":true},{"name":"Javad Laali","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0575584063700818,"gpt":0.3114586871058674,"spread":0.2539002807357856,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001059419,0.0002381379,0.0003950201,0.00142182,0.0007785458,0.001758906,0.00045678,0.0002839814,0.002862096],"category_scores_gemma":[0.003028676,0.0002418069,0.0006095945,0.00043469,0.002764406,0.0017554,0.00207747,0.001021604,0.0001349334],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008433364,"about_ca_system_score_gemma":0.0003452135,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009063022,"about_ca_topic_score_gemma":0.000816113,"domain_scores_codex":[0.9995184,0.0001583651,0.00002304557,0.00007966218,0.0001167696,0.0001038459],"domain_scores_gemma":[0.9977177,0.0007247313,0.0005427661,0.0001676621,0.0002814625,0.0005658128],"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":[0.0001794941,0.00003622256,0.002478166,0.00004041273,0.00002362867,0.0001230367,0.0005104652,0.002309678,0.006872848,0.9846954,0.0002020968,0.002528563],"study_design_scores_gemma":[0.00007483486,0.0002102855,0.009363404,0.00002839636,0.000033869,0.0004752338,0.001002334,0.02475796,0.007485146,0.9523596,0.004162845,0.00004605441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9479716,0.0002618002,0.03644684,0.0002491777,0.00002679865,0.00002464115,0.0000879487,0.00004042768,0.01489082],"genre_scores_gemma":[0.9946966,0.00007281186,0.003097895,0.00001688762,0.00004108887,0.00001847293,0.000058135,0.000009865543,0.001988147],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002862096,"threshold_uncertainty_score":0.009574652,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3093467580","doi":"10.1017/s0004972721000095","title":"FUSION 2-CATEGORIES WITH NO LINE OPERATORS ARE GROUPLIKE","year":2021,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Perimeter Institute; Dalhousie University","funders":"","keywords":"Indecomposable module; Endomorphism; Real line; Object (grammar); Fusion; Line (geometry)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02776866379419688,"gpt":0.2762295929004122,"spread":0.2484609291062153,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001159173,0.0004711753,0.0004792465,0.001934528,0.001750272,0.003464006,0.0005459173,0.0009539588,0.006457585],"category_scores_gemma":[0.00109826,0.0004156441,0.0008203053,0.0009717835,0.004687056,0.006188513,0.004050814,0.001257654,0.0007767995],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007738461,"about_ca_system_score_gemma":0.0004379596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005158903,"about_ca_topic_score_gemma":0.0004795243,"domain_scores_codex":[0.9989079,0.0002073377,0.00006592261,0.0002078189,0.0003594448,0.0002514067],"domain_scores_gemma":[0.9986635,0.0003338279,0.0002008356,0.0002086286,0.000286881,0.0003062512],"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":[0.00005240483,0.00001571508,0.0007943867,0.0000448705,0.00001308751,0.0002336428,0.0008311143,0.0003284016,0.003401553,0.9896062,0.0007734387,0.0039051],"study_design_scores_gemma":[0.00002019225,0.00006513814,0.00182729,0.00001736708,0.00001869697,0.0006559168,0.0006016072,0.001899634,0.003023584,0.9754198,0.01641808,0.00003273528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7323514,0.0007746129,0.1334122,0.0009898379,0.0003732643,0.00009392193,0.0004270633,0.0007415353,0.1308364],"genre_scores_gemma":[0.9834371,0.000155762,0.007299837,0.0002401116,0.00009036218,0.00004374125,0.0002315614,0.00005860777,0.008442888],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006457585,"threshold_uncertainty_score":0.02160281,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2126790654","doi":"10.1017/s0004972700020268","title":"Weakly compact sets and smooth norms in Banach spaces","year":2002,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Grantová Agentura České Republiky","keywords":"Mathematics; Banach space; Pointwise; Pure mathematics; Smoothness; Eberlein–Šmulian theorem; Lp space; Mathematical analysis","authors":[{"name":"Marián Fabian","is_ca":false},{"name":"Vicente Montesinos","is_ca":false},{"name":"Václav Zizler","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04411497676948656,"gpt":0.2967271179496684,"spread":0.2526121411801818,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001702112,0.0008620946,0.0005424987,0.001984707,0.0009718015,0.003371765,0.0006455357,0.000998968,0.002458295],"category_scores_gemma":[0.004103238,0.0004543712,0.0007307697,0.001564793,0.005730942,0.005246381,0.00292254,0.003199544,0.0003084545],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00108448,"about_ca_system_score_gemma":0.0003985499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005129121,"about_ca_topic_score_gemma":0.0004577093,"domain_scores_codex":[0.998765,0.0004289851,0.00006510376,0.0001660377,0.0004586517,0.0001162423],"domain_scores_gemma":[0.9978285,0.001122068,0.0003049295,0.0001655118,0.0003006383,0.0002782883],"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":[0.00003285696,0.00001101001,0.0002693021,0.00004162288,0.000007419814,0.00005989889,0.000395098,0.001277198,0.002285558,0.9901536,0.0002748703,0.005191666],"study_design_scores_gemma":[0.000009970985,0.00005488353,0.001340034,0.00003021917,0.000009567756,0.0001274766,0.0003870635,0.01023571,0.001482388,0.9809219,0.005381506,0.00001934075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4327286,0.004290706,0.5008017,0.003800708,0.0004248964,0.00009734409,0.0002260361,0.0002180261,0.05741199],"genre_scores_gemma":[0.9302249,0.001702593,0.05033284,0.0002282438,0.0004179168,0.0001192189,0.000204525,0.00005300988,0.01671682],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003371765,"threshold_uncertainty_score":0.009001732,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2109887555","doi":"10.1017/s0004972714000197","title":"THE MINIMAL GROWTH OF A -REGULAR SEQUENCE","year":2014,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"semigroups and automata theory","field":"Computer Science","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Multiplicative function; Sequence (biology); Combinatorics; Constant (computer programming); Discrete mathematics; Mathematical analysis","authors":[{"name":"Jason P. Bell","is_ca":true},{"name":"Michael James Coons","is_ca":false},{"name":"Kevin G. Hare","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01835345285741214,"gpt":0.2389289914033845,"spread":0.2205755385459724,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001014338,0.0003907972,0.0007205204,0.001045408,0.001168515,0.001663761,0.0009642058,0.0006162696,0.003545722],"category_scores_gemma":[0.008039779,0.0003002291,0.0004619992,0.0003826007,0.001847077,0.002410653,0.001708825,0.001166971,0.0005176596],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001075832,"about_ca_system_score_gemma":0.0005849517,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008735941,"about_ca_topic_score_gemma":0.0005484957,"domain_scores_codex":[0.9990773,0.0001642461,0.00006119304,0.0002590065,0.0002633667,0.0001748874],"domain_scores_gemma":[0.9944992,0.002655382,0.0004246736,0.00045852,0.0009145478,0.00104774],"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":[0.0009147425,0.0001176698,0.006280205,0.0003067176,0.00004461529,0.0008192981,0.001445391,0.01701616,0.06175549,0.8853692,0.002498718,0.02343161],"study_design_scores_gemma":[0.00006286406,0.0003057483,0.003525608,0.0001075236,0.00004649051,0.001260401,0.0006905942,0.2150845,0.02704275,0.7430837,0.008717592,0.00007226416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9147021,0.000409966,0.06296563,0.0006855745,0.00007717886,0.00003335901,0.0002623712,0.0003780398,0.02048591],"genre_scores_gemma":[0.9872547,0.00008615808,0.00824523,0.00006991915,0.00003594602,0.00004002468,0.0001749781,0.0000706507,0.004022395],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003545722,"threshold_uncertainty_score":0.01186168,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2073800962","doi":"10.1017/s0004972700037709","title":"Connes-amenability and normal, virtual diagonals for measure algebras, II","year":2003,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Diagonal; Locally compact group; Locally compact space; Measure (data warehouse); Pure mathematics; Algebra over a field; Geometry; Computer science; Data mining","authors":[{"name":"Volker Runde","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05600345711199827,"gpt":0.3283682768606991,"spread":0.2723648197487008,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007612141,0.0003309832,0.0003922261,0.00116488,0.001803767,0.00246883,0.0004536603,0.00047572,0.005991281],"category_scores_gemma":[0.001779611,0.0002664924,0.0007039805,0.0004785125,0.004749334,0.002592633,0.003462013,0.00190591,0.000576448],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001032533,"about_ca_system_score_gemma":0.0005612837,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001561873,"about_ca_topic_score_gemma":0.001429758,"domain_scores_codex":[0.999229,0.0001349273,0.00004017584,0.0001598937,0.0002343652,0.0002016927],"domain_scores_gemma":[0.9984888,0.0004196898,0.0002064812,0.0001891662,0.0002288298,0.0004670359],"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":[0.0000131179,0.000009320755,0.0002983115,0.0000103108,0.00000374073,0.00005341712,0.0003003697,0.0001401993,0.0007359544,0.9970996,0.0003041668,0.001031626],"study_design_scores_gemma":[0.00001318925,0.00003421037,0.0009193377,0.00001088111,0.000008755877,0.0001951647,0.0004683186,0.002033275,0.001020854,0.9904463,0.004839439,0.00001015243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6654005,0.0005514614,0.1165743,0.00159591,0.0003343053,0.00007783905,0.0002227041,0.0003516376,0.2148912],"genre_scores_gemma":[0.9808468,0.0001315784,0.005938077,0.0001489713,0.0001314903,0.000045794,0.00009766612,0.00003031354,0.01262926],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005991281,"threshold_uncertainty_score":0.02004284,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2157960833","doi":"10.1017/s0004972700018700","title":"A note on <i>p</i>-adic Carlitz's <i>q</i>-Bernoulli numbers","year":2000,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Bernoulli number; Bernoulli's principle; Generating function; Invariant (physics); Combinatorics; Function (biology); Bernoulli polynomials; Measure (data warehouse); Discrete mathematics; Pure mathematics; Orthogonal polynomials; Mathematical physics; Difference polynomials","authors":[{"name":"Taekyun Kim","is_ca":true},{"name":"Seog-Hoon Rim","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03110060763784918,"gpt":0.3030944594526701,"spread":0.2719938518148209,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001264998,0.0005202217,0.0004270389,0.001682452,0.001687432,0.001408495,0.0007356324,0.0008195528,0.003858632],"category_scores_gemma":[0.002240724,0.0002228806,0.0003664318,0.001270882,0.00343822,0.002479034,0.001304731,0.002872718,0.0006561239],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009189865,"about_ca_system_score_gemma":0.0006285174,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008637762,"about_ca_topic_score_gemma":0.0006239542,"domain_scores_codex":[0.9996495,0.00008834798,0.00001754547,0.00004855616,0.0001340005,0.00006205271],"domain_scores_gemma":[0.9989139,0.0006197521,0.000094911,0.0000856245,0.0001534974,0.0001323159],"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":[0.00000498532,0.000003701992,0.0001179614,0.00001824605,0.000001173284,0.00008090935,0.0001388165,0.00014825,0.0002852856,0.9949754,0.001320854,0.002904453],"study_design_scores_gemma":[0.000003790235,0.0000125486,0.0002373534,0.0000133464,0.000002047924,0.0001959827,0.00004583563,0.001028597,0.0005621325,0.9796556,0.01823255,0.00001031709],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2047201,0.014302,0.1647634,0.02451027,0.0068051,0.0000629478,0.0002398641,0.0004147952,0.5841815],"genre_scores_gemma":[0.9222246,0.006911712,0.03154229,0.002352769,0.00285331,0.00006091347,0.00007628677,0.0001142099,0.03386395],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003858632,"threshold_uncertainty_score":0.0129084,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2047209794","doi":"10.1017/s0004972710000390","title":"ENDPOINT ESTIMATES FOR COMMUTATORS OF RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER OPERATORS","year":2010,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Memorial University of Newfoundland","keywords":"Mathematics; Commutator; Riesz transform; Bounded function; Hardy space; Operator (biology); Combinatorics; Space (punctuation); Pure mathematics; Mathematical analysis; Algebra over a field","authors":[{"name":"Pengtao Li","is_ca":false},{"name":"Lizhong Peng","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04556186344676916,"gpt":0.3379079310241035,"spread":0.2923460675773344,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004282452,0.0007955995,0.0007794846,0.002549897,0.001099614,0.002205187,0.001276192,0.001210102,0.006704511],"category_scores_gemma":[0.01043417,0.0003398205,0.0009779773,0.0005771847,0.003188577,0.003905192,0.00287064,0.00248916,0.000658899],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001262395,"about_ca_system_score_gemma":0.0007374205,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006659873,"about_ca_topic_score_gemma":0.0004560922,"domain_scores_codex":[0.9987661,0.0003635833,0.00008068384,0.0002102821,0.0004189738,0.0001603397],"domain_scores_gemma":[0.992573,0.00348908,0.0009299786,0.0004271507,0.001505695,0.001074983],"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":[0.0001119703,0.00006733194,0.001372167,0.0001112619,0.00002640025,0.0003582033,0.00072537,0.003683435,0.01374204,0.9751124,0.0007173948,0.003971992],"study_design_scores_gemma":[0.00003966837,0.0002307206,0.002626534,0.00008349385,0.00003893251,0.0006596463,0.0006912107,0.1682293,0.01235191,0.8108711,0.004096222,0.00008118753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5233611,0.001203937,0.4372129,0.00102426,0.0002940668,0.0000965309,0.0001779432,0.000312246,0.03631704],"genre_scores_gemma":[0.9628379,0.0005516374,0.02299831,0.0002238684,0.0002341166,0.0001245983,0.0001422765,0.0001970531,0.01269006],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006704511,"threshold_uncertainty_score":0.0226481,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2010382593","doi":"10.1017/s0004972700038508","title":"Permutation representations and rational irreducibility","year":2005,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Transitive relation; Combinatorics; Primitive permutation group; Simple (philosophy); Irreducibility; Affine transformation; Group (periodic table); Character (mathematics); Permutation group; Simple group; Discrete mathematics; Permutation (music); Symmetric group; Pure mathematics; Cyclic permutation","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.08305924284248177,"gpt":0.3660392491240794,"spread":0.2829800062815976,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005350602,0.0003524163,0.0003182807,0.0008274351,0.0008042039,0.001870764,0.0003969843,0.0003700772,0.004954188],"category_scores_gemma":[0.001700464,0.0002002562,0.0004914047,0.000447518,0.004085985,0.002321238,0.001609164,0.001043798,0.0005703529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00105636,"about_ca_system_score_gemma":0.00047329,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000918358,"about_ca_topic_score_gemma":0.0006431923,"domain_scores_codex":[0.9994142,0.0001051145,0.00003155334,0.000103312,0.000179764,0.0001659911],"domain_scores_gemma":[0.9993938,0.0001776859,0.0001123001,0.0001579115,0.00006748358,0.00009085101],"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":[0.00001718282,0.00001033567,0.0001636209,0.00001164665,0.000002260496,0.0001001179,0.0003140984,0.0004854835,0.0008005392,0.9931109,0.0003402979,0.004643461],"study_design_scores_gemma":[0.0000122192,0.00002984308,0.0003502728,0.00000758298,0.000003324722,0.0001220316,0.00008371167,0.001919141,0.001119865,0.9899381,0.006403679,0.00001014521],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6602987,0.001502974,0.04017635,0.002057762,0.000244172,0.0000521312,0.0001871882,0.0005979577,0.2948828],"genre_scores_gemma":[0.9861648,0.0002690434,0.001978156,0.0000950088,0.00009555409,0.00001226084,0.00005801411,0.00002704625,0.0113001],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004954188,"threshold_uncertainty_score":0.01657343,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2080845342","doi":"10.1017/s0004972709000616","title":"COMBINATORIAL REES–SUSHKEVICH VARIETIES THAT ARE CROSS, FINITELY GENERATED, OR SMALL","year":2009,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"semigroups and automata theory","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Subvariety; Mathematics; Variety (cybernetics); Combinatorics; Finitely-generated abelian group; Set (abstract data type); Generating set of a group; Lattice (music); Discrete mathematics; Pure mathematics; Computer science; Geometry","authors":[{"name":"Edmond W. H. Lee","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04588173806011037,"gpt":0.2660268186568844,"spread":0.220145080596774,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008622819,0.0002898039,0.0005429069,0.0008413895,0.0006250416,0.001958957,0.0005215038,0.0002935877,0.003553947],"category_scores_gemma":[0.002310413,0.000261428,0.0005351281,0.0005197062,0.00142099,0.002140603,0.001133264,0.0005024651,0.0003492648],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003788903,"about_ca_system_score_gemma":0.0003030185,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002525727,"about_ca_topic_score_gemma":0.0003686619,"domain_scores_codex":[0.9993764,0.000106088,0.00006886025,0.0001989063,0.0001663107,0.00008347361],"domain_scores_gemma":[0.9976138,0.001217843,0.0003228546,0.0003524581,0.0002085341,0.0002845904],"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":[0.00257419,0.0002743831,0.03900599,0.0005831344,0.0001391764,0.001215274,0.002877362,0.04898101,0.09266499,0.6521171,0.003204142,0.1563631],"study_design_scores_gemma":[0.0002137616,0.0007500172,0.01823119,0.0001332492,0.0001562583,0.001912121,0.002422951,0.2018862,0.1097031,0.6451113,0.01932038,0.000159454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9075798,0.0002469072,0.08265018,0.0001081135,0.0000164352,0.00008925431,0.0001608508,0.0002916848,0.008856683],"genre_scores_gemma":[0.9582715,0.00009094543,0.03907736,0.0000274778,0.00001757288,0.00005565696,0.0005521332,0.00002757072,0.00187982],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003553947,"threshold_uncertainty_score":0.01188916,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2171158068","doi":"10.1017/s0004972700018694","title":"Maximal ideals and the structure of contractible and amenable Banach algebras","year":2000,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Contractible space; Ideal (ethics); Banach algebra; Pure mathematics; Subspace topology; Maximal ideal; Banach space; Discrete mathematics; Mathematical analysis","authors":[{"name":"Yong Zhang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02228896052374671,"gpt":0.2966308859358309,"spread":0.2743419254120842,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001315161,0.000275789,0.0003217134,0.001367003,0.001014936,0.001874299,0.0006141567,0.0003624112,0.002441702],"category_scores_gemma":[0.002325509,0.0003428317,0.0004788769,0.0005940169,0.004636997,0.003341973,0.001853769,0.001267493,0.0002792612],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008964083,"about_ca_system_score_gemma":0.0005236137,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005031924,"about_ca_topic_score_gemma":0.0005143618,"domain_scores_codex":[0.9992543,0.0001827503,0.00004912924,0.0001138562,0.0002645318,0.0001354771],"domain_scores_gemma":[0.9979351,0.0007651542,0.0004267581,0.0001965265,0.0002493052,0.0004272462],"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":[0.00004332099,0.0000178575,0.0004289224,0.00002726354,0.000007208441,0.0001272629,0.0006137561,0.0007302481,0.003759076,0.9918148,0.0001476286,0.002282688],"study_design_scores_gemma":[0.00001755913,0.00004058746,0.001189068,0.00001427986,0.000007600868,0.000248713,0.0003017247,0.003469847,0.003033427,0.9884266,0.003235966,0.00001459604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8234841,0.001282211,0.0951125,0.001007815,0.00006301454,0.00004704844,0.0001713998,0.0002117997,0.0786202],"genre_scores_gemma":[0.9832422,0.0002792322,0.009612459,0.00005303849,0.00008608323,0.0000295838,0.00009335997,0.00001946682,0.006584764],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002441702,"threshold_uncertainty_score":0.00816834,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2043084809","doi":"10.1017/s0004972711002322","title":"ON A PROBLEM ON NORMAL NUMBERS RAISED BY IGOR SHPARLINSKI","year":2011,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Irrational number; Combinatorics; Integer (computer science); Sequence (biology); Prime number; Limiting; Prime factor; Prime (order theory); Rational number; Discrete mathematics; Geometry","authors":[{"name":"Jean–Marie De Koninck","is_ca":true},{"name":"Imre Kátai","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06607353085514854,"gpt":0.3097669891159802,"spread":0.2436934582608316,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00602194,0.0006751145,0.001827479,0.001925479,0.003870617,0.003505487,0.002155802,0.004540093,0.004312734],"category_scores_gemma":[0.02424218,0.0006030929,0.0007003446,0.002651021,0.01227958,0.0156438,0.004689701,0.008590483,0.001429308],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002431379,"about_ca_system_score_gemma":0.001054309,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002487248,"about_ca_topic_score_gemma":0.0007995219,"domain_scores_codex":[0.9970336,0.001252875,0.0001421692,0.0005916959,0.0006759387,0.0003037898],"domain_scores_gemma":[0.9843156,0.01196223,0.0007397751,0.0008169551,0.001314253,0.0008511836],"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":[0.0001897846,0.00005061509,0.0008716165,0.00009863593,0.00001071,0.000388099,0.0008153661,0.00128012,0.0003734738,0.9336233,0.0455219,0.01677644],"study_design_scores_gemma":[0.00002874397,0.00002403557,0.0002029109,0.00003082467,0.000005501579,0.0002539206,0.0002893047,0.002029245,0.0001798447,0.9766649,0.0202679,0.00002291038],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"commentary","genre_gemma":"empirical","genre_scores_codex":[0.155996,0.01738368,0.1514614,0.5190809,0.01323647,0.0001086376,0.0005181131,0.001003083,0.1412117],"genre_scores_gemma":[0.8630015,0.008425523,0.03268995,0.04020565,0.01762343,0.0001584985,0.0003841807,0.0004204854,0.03709074],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00602194,"threshold_uncertainty_score":0.03184748,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W64021027","doi":"10.1017/s0004972711002115","title":"INDECOMPOSABLE REPRESENTATIONS OF THE EUCLIDEAN ALGEBRA 𝔢(3) FROM IRREDUCIBLE REPRESENTATIONS OF","year":2011,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"University of Toronto","keywords":"Indecomposable module; Mathematics; Complexification; Eight-dimensional space; (g,K)-module; Lie algebra; Pure mathematics; Algebra over a field; Euclidean geometry; Euclidean group; Euclidean space; Lie conformal algebra; Combinatorics; Euclidean distance matrix; Seven-dimensional space; Adjoint representation of a Lie algebra; Geometry","authors":[{"name":"Andrew Douglas","is_ca":false},{"name":"Joe Repka","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08808096219943903,"gpt":0.3387942149795835,"spread":0.2507132527801444,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004444768,0.0005495255,0.0004430955,0.00116174,0.0008673832,0.001610199,0.0007356913,0.0006314351,0.006916974],"category_scores_gemma":[0.0009145274,0.0003182555,0.0007731079,0.0006199406,0.001926048,0.001841165,0.001933152,0.001455444,0.001232278],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006034925,"about_ca_system_score_gemma":0.0003831311,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003591283,"about_ca_topic_score_gemma":0.0004463747,"domain_scores_codex":[0.999532,0.00006568369,0.00002514432,0.00006740646,0.000184062,0.0001257583],"domain_scores_gemma":[0.9994485,0.00008796965,0.0001042447,0.0001263786,0.0000740117,0.0001588866],"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":[0.0001484662,0.0001764652,0.001255479,0.00008768475,0.00002613548,0.001782828,0.001373089,0.002892292,0.02234793,0.9451174,0.002313037,0.02247919],"study_design_scores_gemma":[0.00004407603,0.0001002783,0.002510171,0.00004031166,0.00002328881,0.001676547,0.0003837977,0.01138231,0.01314732,0.9596404,0.01099739,0.00005410934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9085973,0.000416434,0.0474313,0.0003842062,0.0001438598,0.00005127883,0.0001911777,0.0002615394,0.0425229],"genre_scores_gemma":[0.9729396,0.0002343949,0.00957306,0.000140868,0.0001087565,0.00002929937,0.000252651,0.00008763911,0.0166336],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006916974,"threshold_uncertainty_score":0.0231396,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2149963403","doi":"10.1017/s0004972713000208","title":"ON PERMUTATION BINOMIALS OVER FINITE FIELDS","year":2013,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"","keywords":"Finite field; Binomial (polynomial); Gaussian binomial coefficient; Permutation (music); Partial permutation; Binomial coefficient; Cyclic permutation; Generalized permutation matrix; Divisor (algebraic geometry)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.01706719996674736,"gpt":0.2392756072454778,"spread":0.2222084072787304,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001866838,0.0004867114,0.0006031751,0.001408511,0.001591353,0.001612581,0.0004069013,0.0005625217,0.006088324],"category_scores_gemma":[0.005044402,0.0004069609,0.0005919038,0.001315202,0.003009974,0.003527769,0.001827591,0.00168844,0.001289809],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001127296,"about_ca_system_score_gemma":0.0006805459,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007714774,"about_ca_topic_score_gemma":0.0007009937,"domain_scores_codex":[0.9987302,0.0003959554,0.00005866138,0.0001221266,0.0003639274,0.0003289668],"domain_scores_gemma":[0.9980361,0.001213178,0.0001876885,0.0002207033,0.0001811057,0.0001612218],"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":[0.00009287526,0.00002497316,0.0003695842,0.00003647002,0.00000450885,0.0003302299,0.0002634282,0.002343911,0.001964071,0.9827338,0.001670636,0.01016554],"study_design_scores_gemma":[0.00002930646,0.00003366478,0.0002957582,0.00003294825,0.000008093568,0.0002899271,0.00007136384,0.01037601,0.001708582,0.9807001,0.00643828,0.00001586596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5849833,0.001884946,0.2414719,0.002444546,0.0007714789,0.0001271073,0.0002744821,0.0004630918,0.1675792],"genre_scores_gemma":[0.9661819,0.001272866,0.01639192,0.0003833927,0.0006383593,0.00008266176,0.0002007037,0.0001217691,0.0147264],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006088324,"threshold_uncertainty_score":0.02036744,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2930774002","doi":"10.1017/s0004972719000352","title":"A BOUND FOR THE CHROMATIC NUMBER OF (, GEM)-FREE GRAPHS","year":2019,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; Wilfrid Laurier University","funders":"","keywords":"Combinatorics; Unicode; Mathematics; Clique number; Vertex (graph theory); Graph; Chromatic scale; Discrete mathematics; Computer science","authors":[{"name":"Kathie Cameron","is_ca":true},{"name":"Shenwei Huang","is_ca":false},{"name":"Owen Merkel","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02564806360005934,"gpt":0.301924739568164,"spread":0.2762766759681046,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00148425,0.001471498,0.0007883576,0.003198952,0.002408294,0.003273281,0.002833564,0.001423899,0.02072388],"category_scores_gemma":[0.007596528,0.0007060273,0.001072343,0.00276964,0.003070959,0.005783404,0.002914984,0.003753937,0.003376911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004301119,"about_ca_system_score_gemma":0.001783815,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005636098,"about_ca_topic_score_gemma":0.007177796,"domain_scores_codex":[0.9984627,0.0002001998,0.00004975294,0.0005737711,0.000315404,0.0003982174],"domain_scores_gemma":[0.9924159,0.004664783,0.0004290625,0.0009590249,0.000638352,0.0008928395],"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":[0.0007429177,0.0002023374,0.004046015,0.0005426114,0.0001100753,0.0002849472,0.0006870207,0.03233467,0.01709877,0.841554,0.05707379,0.04532284],"study_design_scores_gemma":[0.0001142087,0.0001539166,0.005606849,0.0002175935,0.0001379836,0.0006728501,0.0002458241,0.09771334,0.01079217,0.8203907,0.06381064,0.0001439309],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2682159,0.004999858,0.3694323,0.008972848,0.0009513873,0.0003014619,0.006593044,0.003016875,0.3375163],"genre_scores_gemma":[0.8166763,0.003008879,0.1158714,0.002137105,0.0009266309,0.0006056665,0.004785084,0.001288471,0.05470049],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02072388,"threshold_uncertainty_score":0.06932831,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2071351111","doi":"10.1017/s0004972709000148","title":"CONVOLUTIONS OF GENERIC ORBITAL MEASURES IN COMPACT SYMMETRIC SPACES","year":2009,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo; Sultan Qaboos University","keywords":"Mathematics; Haar measure; Measure (data warehouse); Absolute continuity; Symmetric space; Invariant (physics); Coset; Locally compact space; Combinatorics; Pure mathematics; Product (mathematics); Mathematical analysis; Geometry; Mathematical physics","authors":[{"name":"Sanjiv Kumar Gupta","is_ca":false},{"name":"Kathryn E. Hare","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05439368871874302,"gpt":0.3069203191971193,"spread":0.2525266304783763,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002082801,0.0005950063,0.0008575595,0.001948829,0.001765016,0.003978187,0.0008297098,0.0007584098,0.003267817],"category_scores_gemma":[0.005041413,0.0005254586,0.00090005,0.001012296,0.00420702,0.004381141,0.003532853,0.001168942,0.0002488602],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002076096,"about_ca_system_score_gemma":0.0006587037,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001071436,"about_ca_topic_score_gemma":0.0007690478,"domain_scores_codex":[0.9986656,0.0001936652,0.0001006337,0.0002728259,0.0004742932,0.0002930966],"domain_scores_gemma":[0.9973872,0.0006385417,0.0006346199,0.0002862249,0.0003400152,0.0007132767],"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":[0.00006049468,0.00002655844,0.001078107,0.00002663301,0.00001509435,0.0002028862,0.0003118277,0.001226964,0.001904621,0.9928299,0.0001600497,0.002156999],"study_design_scores_gemma":[0.00004715499,0.0001387825,0.002856117,0.0000381993,0.00003707477,0.0007787088,0.0005479494,0.03754909,0.004311946,0.9508963,0.002761916,0.00003680144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9116266,0.000364307,0.06771614,0.0003018243,0.00007891109,0.00002647883,0.0001130274,0.0001184987,0.01965419],"genre_scores_gemma":[0.9928144,0.0001077395,0.004709092,0.00003161794,0.0000466951,0.00001791751,0.0000569811,0.00002158292,0.002194009],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003978187,"threshold_uncertainty_score":0.01506317,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963880843","doi":"10.1017/s0004972708001172","title":"SKEW-PRODUCT DYNAMICAL SYSTEMS, ELLIS GROUPS AND TOPOLOGICAL CENTRE","year":2009,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Skew; Mathematics; Ergodic theory; Dynamical systems theory; Type (biology); Product (mathematics); Pure mathematics; Dynamical system (definition); Topology (electrical circuits); Topological dynamics; Combinatorics; Computer science; Geometry; Functional analysis; Physics","authors":[{"name":"Ali Jabbari","is_ca":false},{"name":"Hamid Reza Ebrahimi Vishki","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03011771948242253,"gpt":0.277609812293755,"spread":0.2474920928113324,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004326964,0.0001911235,0.0002709476,0.0008911789,0.0004911047,0.0009628939,0.0002405282,0.0002999645,0.002425313],"category_scores_gemma":[0.000780533,0.00009774382,0.0002283202,0.0002558837,0.001745746,0.00151135,0.0009739167,0.0004019327,0.0002227961],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004117291,"about_ca_system_score_gemma":0.000223743,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002677323,"about_ca_topic_score_gemma":0.0002535591,"domain_scores_codex":[0.9998167,0.00003706663,0.00001290538,0.00003959878,0.00006063014,0.00003308838],"domain_scores_gemma":[0.9995183,0.00007978221,0.0001377685,0.00006649805,0.00008131311,0.0001164361],"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":[0.00002561257,0.00001093712,0.0007989052,0.00002395695,0.000005746823,0.0001204648,0.0002533436,0.002654345,0.004541423,0.9863777,0.000218102,0.004969422],"study_design_scores_gemma":[0.00003035017,0.0001280293,0.002454626,0.00002440436,0.00001649906,0.0006397351,0.0004077438,0.03479846,0.008394973,0.941323,0.01174765,0.00003444975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8757507,0.0005298377,0.09426863,0.0002133309,0.00009342626,0.0000447918,0.00006617791,0.00009637795,0.02893667],"genre_scores_gemma":[0.9906154,0.0001169911,0.006122614,0.00002208065,0.00003000944,0.00001254583,0.0000252299,0.000008947025,0.003046251],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002425313,"threshold_uncertainty_score":0.008113503,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2059098648","doi":"10.1017/s0004972712000421","title":"A NOTE CONCERNING THE DISTANCES OF UNIFORMLY DISTRIBUTED POINTS FROM THE CENTRE OF A RECTANGLE","year":2012,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Rectangle; Mathematics; Probability density function; Expression (computer science); Combinatorics; Function (biology); Cumulative distribution function; Closed-form expression; Geometry; Mathematical analysis; Statistics; Computer science","authors":[{"name":"Robert Stewart","is_ca":true},{"name":"Hong Zhang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02828450385933519,"gpt":0.2666966735804778,"spread":0.2384121697211426,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0148676,0.0008474789,0.001646117,0.002829167,0.001413596,0.002717413,0.003045119,0.002611084,0.003298857],"category_scores_gemma":[0.1597006,0.0009409847,0.001193676,0.003101899,0.004182383,0.007114527,0.003912155,0.004580347,0.001304851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002100969,"about_ca_system_score_gemma":0.0009955069,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004726657,"about_ca_topic_score_gemma":0.002379625,"domain_scores_codex":[0.986648,0.006285667,0.0007234431,0.002859316,0.002971676,0.0005117588],"domain_scores_gemma":[0.8710231,0.1083272,0.00413106,0.006057932,0.009319526,0.001141219],"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":[0.0008123139,0.00004597641,0.006411241,0.000555276,0.0001911084,0.0008524839,0.001472772,0.1813552,0.008930654,0.6610113,0.01026214,0.1280996],"study_design_scores_gemma":[0.00007713914,0.0002173175,0.005700348,0.0002731616,0.0001033904,0.001609892,0.0005312139,0.3923375,0.01076408,0.5658571,0.02222938,0.0002995145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02306099,0.002956238,0.9646257,0.002220728,0.0003822058,0.0000235107,0.0001407838,0.0002534324,0.006336512],"genre_scores_gemma":[0.6492632,0.002672001,0.3406077,0.001093592,0.001063185,0.0001344476,0.0005331708,0.0004585758,0.004174181],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0148676,"threshold_uncertainty_score":0.07862836,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2142435614","doi":"10.1017/s0004972711002334","title":"THE GENERALIZED SYLVESTER MATRIX EQUATION, RANK MINIMIZATION AND ROTH’S EQUIVALENCE THEOREM","year":2011,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Sylvester equation; Sylvester matrix; Equivalence (formal languages); Sylvester's law of inertia; Rank (graph theory); Pure mathematics; Applied mathematics; Combinatorics; Algebra over a field; Mathematical analysis; Symmetric matrix; Eigenvalues and eigenvectors; Matrix polynomial","authors":[{"name":"Minghua Lin","is_ca":true},{"name":"Hȧrald K. Wimmer","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09082908140697524,"gpt":0.3383889755654172,"spread":0.247559894158442,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003003852,0.000550752,0.0009050303,0.0009081851,0.0005275848,0.001495281,0.001240543,0.0009541457,0.005064934],"category_scores_gemma":[0.005005361,0.0003195867,0.0008883944,0.0009054517,0.002593498,0.003189045,0.001609151,0.001824428,0.0008155524],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006289851,"about_ca_system_score_gemma":0.0007043499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009867967,"about_ca_topic_score_gemma":0.0006043924,"domain_scores_codex":[0.9987693,0.0004268636,0.00005346296,0.0002482902,0.000387311,0.0001147283],"domain_scores_gemma":[0.9983723,0.0006537376,0.0002710125,0.0002316419,0.0003955784,0.00007575365],"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":[0.00002553796,0.000007833519,0.0001645743,0.00003085332,0.00001384237,0.00006282263,0.00006504117,0.005078166,0.001820288,0.9831646,0.001669348,0.007897086],"study_design_scores_gemma":[0.00002566914,0.00007073627,0.00041483,0.00001315211,0.00001259067,0.0001485257,0.00003791403,0.04211394,0.002383718,0.9486589,0.006095801,0.00002426493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08849271,0.001821232,0.8615822,0.002691884,0.0004107239,0.00005149719,0.0002917851,0.0002893043,0.04436865],"genre_scores_gemma":[0.8269614,0.001015215,0.1504868,0.0008980848,0.0005974267,0.00009059934,0.0003722101,0.0002926706,0.01928573],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005064934,"threshold_uncertainty_score":0.01694387,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4300960744","doi":"10.1017/s0004972722001009","title":"ERDŐS–LIOUVILLE SETS","year":2022,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Division of Mathematical Sciences; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Combinatorics; Cardinality (data modeling); Subspace topology; Real number; Transcendental number; Discrete mathematics; Mathematical analysis; Computer science","authors":[{"name":"Taboka Chalebgwa","is_ca":true},{"name":"Sidney A. Morris","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03992858725458415,"gpt":0.2945996071183587,"spread":0.2546710198637746,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001378593,0.0005485396,0.000910711,0.002309994,0.002418778,0.003414083,0.0008759158,0.001212698,0.007988569],"category_scores_gemma":[0.004181582,0.0003931565,0.0009658837,0.001378177,0.003204638,0.0034246,0.002950213,0.003255079,0.001432311],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003515183,"about_ca_system_score_gemma":0.0008490446,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001788408,"about_ca_topic_score_gemma":0.001034576,"domain_scores_codex":[0.9979196,0.0004647579,0.0001053103,0.000542256,0.0007126828,0.0002553697],"domain_scores_gemma":[0.9976432,0.0008810308,0.0002611351,0.0002835047,0.0006452232,0.000285954],"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":[0.00001772321,0.00001166624,0.0001582435,0.00002213733,0.000007591964,0.00006264333,0.0001938599,0.0007843301,0.000652353,0.993928,0.001106477,0.003055005],"study_design_scores_gemma":[0.00001815453,0.00002291851,0.0003649761,0.00003601841,0.00000801297,0.0001728463,0.0001756401,0.007868413,0.001129884,0.9629143,0.0272683,0.00002043093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2768944,0.003619476,0.2273702,0.004974533,0.0006690005,0.0001383172,0.0009529375,0.0003721521,0.485009],"genre_scores_gemma":[0.9022745,0.001842591,0.03428146,0.000924143,0.0006316464,0.0002709604,0.0008314285,0.00007706699,0.05886613],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007988569,"threshold_uncertainty_score":0.02672446,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2050670753","doi":"10.1017/s0004972711002474","title":"ON <i>B</i>(5,<i>k</i>) GROUPS","year":2011,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"","keywords":"Mathematics; Group (periodic table); Combinatorics; Element (criminal law); Pure mathematics; Chemistry","authors":[{"name":"Yuanlin Li","is_ca":true},{"name":"Xiaoying Pan","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1096570594129053,"gpt":0.3112599871363839,"spread":0.2016029277234787,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001243037,0.0004674254,0.0004706608,0.002652361,0.001630157,0.002528538,0.0004709882,0.0007406549,0.00515309],"category_scores_gemma":[0.001669381,0.0002529778,0.0004992052,0.002218728,0.003813572,0.003727994,0.002285694,0.00122156,0.0008914635],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001603917,"about_ca_system_score_gemma":0.0005808405,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001428159,"about_ca_topic_score_gemma":0.0009433401,"domain_scores_codex":[0.9987815,0.0003467462,0.0001239618,0.0002047208,0.0002564582,0.0002866072],"domain_scores_gemma":[0.9980927,0.0004702951,0.0006138587,0.0001962006,0.0002538511,0.0003730978],"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":[0.0001509687,0.00002776963,0.001623559,0.00007660248,0.000009665345,0.0002453932,0.001608933,0.001553059,0.003313679,0.9800076,0.00175104,0.009631695],"study_design_scores_gemma":[0.00003384112,0.0002017431,0.004164808,0.0001378942,0.00001986927,0.000672029,0.001588345,0.005095994,0.003863721,0.9424054,0.04175169,0.00006457025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7573372,0.002691547,0.0535323,0.00245294,0.0003109138,0.0001266924,0.0003917734,0.0001727683,0.1829839],"genre_scores_gemma":[0.975444,0.0007074561,0.01147683,0.0002683534,0.000182005,0.00008177637,0.0003120155,0.00003828076,0.0114892],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00515309,"threshold_uncertainty_score":0.0172388,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2114486231","doi":"10.1017/s0004972700047523","title":"On Reversible Group Rings","year":2006,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Group ring; Ring (chemistry); Group (periodic table); Associative property; Pure mathematics; Finite group; Identity (music); Combinatorics; Group algebra; Algebra over a field; Chemistry; Physics","authors":[{"name":"Yuanlin Li","is_ca":true},{"name":"Howard E. Bell","is_ca":true},{"name":"Colin Phipps","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02897191820901078,"gpt":0.260772652570171,"spread":0.2318007343611602,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001267024,0.0006291224,0.0005638984,0.0011888,0.001258778,0.001531785,0.0007779592,0.0007994403,0.007483215],"category_scores_gemma":[0.00161951,0.0004152075,0.0008326116,0.0007811498,0.004282891,0.00541765,0.00268741,0.001613829,0.001272303],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001090977,"about_ca_system_score_gemma":0.0004127676,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005471934,"about_ca_topic_score_gemma":0.0004874478,"domain_scores_codex":[0.9989849,0.000243014,0.00004909122,0.0001598745,0.0003240753,0.0002390674],"domain_scores_gemma":[0.9990966,0.0003428608,0.000154105,0.0001774497,0.0001065191,0.0001225158],"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":[0.00001687608,0.000009562989,0.00009777458,0.00003358458,0.000004983938,0.0001290098,0.0002292523,0.000583275,0.00159732,0.9940454,0.0003554761,0.002897342],"study_design_scores_gemma":[0.00001667569,0.00005198181,0.0002965253,0.00002093161,0.00001049118,0.0003161366,0.0001431431,0.002077869,0.002577768,0.981371,0.01309978,0.00001775132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4750799,0.008976649,0.1549431,0.002815654,0.0005474268,0.0001875027,0.0004519393,0.0004671828,0.3565307],"genre_scores_gemma":[0.9475239,0.003347959,0.01759572,0.0003917165,0.0006422716,0.0001037381,0.0002413977,0.00007039478,0.03008294],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007483215,"threshold_uncertainty_score":0.02503383,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2157245517","doi":"10.1017/s0004972700035322","title":"Lipschitz functions with maximal Clarke subdifferentials are staunch","year":2005,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subderivative; Mathematics; Lipschitz continuity; Banach space; Expansive; Separable space; Pure mathematics; Space (punctuation); Mathematical analysis; Regular polygon; Geometry; Computer science","authors":[{"name":"Jonathan M. Borwein","is_ca":true},{"name":"Xianfu Wang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01726263267140209,"gpt":0.2254630836947172,"spread":0.2082004510233151,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001455326,0.0006676195,0.001161601,0.00141849,0.001066597,0.00227774,0.0007460372,0.000775039,0.001630516],"category_scores_gemma":[0.003905482,0.0005446575,0.00111351,0.00118204,0.003317707,0.003669851,0.002693235,0.001840222,0.0002563914],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008590324,"about_ca_system_score_gemma":0.0005118166,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004599072,"about_ca_topic_score_gemma":0.0005979093,"domain_scores_codex":[0.9992654,0.0001054967,0.00006626607,0.000177275,0.0002533802,0.0001322134],"domain_scores_gemma":[0.99681,0.001099088,0.0007080851,0.0004371385,0.0005772304,0.0003683839],"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":[0.0001839772,0.0000233859,0.004555759,0.0002318143,0.00007853061,0.0004918218,0.0007173752,0.00492754,0.01706995,0.9544985,0.0006229743,0.01659846],"study_design_scores_gemma":[0.00003680362,0.0003490502,0.01301591,0.00008978236,0.0001009951,0.002467918,0.0009201564,0.03340138,0.02377216,0.909423,0.01633815,0.00008471096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8049145,0.001790037,0.1761725,0.0005322785,0.00005883069,0.00003595826,0.0002344082,0.0001517475,0.01610969],"genre_scores_gemma":[0.9798585,0.0006391539,0.01501734,0.00009879145,0.00002871784,0.00003199145,0.0001983688,0.00003963496,0.004087498],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00227774,"threshold_uncertainty_score":0.007696569,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2079006203","doi":"10.1017/s0004972710001711","title":"DECOMPOSING LINEAR TRANSFORMATIONS","year":2010,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Division ring; Unit (ring theory); Countable set; Combinatorics; Existential quantification; Ring (chemistry); Division (mathematics); Discrete mathematics; Arithmetic","authors":[{"name":"Lu Wang","is_ca":true},{"name":"Yiqiang Zhou","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03609451374322633,"gpt":0.2963036341470284,"spread":0.2602091204038021,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005276436,0.0004193676,0.0004270408,0.001362599,0.0007159993,0.001725597,0.0003873648,0.0003514317,0.01143292],"category_scores_gemma":[0.001126668,0.0002505556,0.0005665711,0.0008464213,0.002304766,0.002931826,0.002012477,0.001435959,0.001471547],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009333555,"about_ca_system_score_gemma":0.0004292788,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005152151,"about_ca_topic_score_gemma":0.0004375878,"domain_scores_codex":[0.9992348,0.0001475075,0.00004047558,0.0001567321,0.0002063516,0.0002141769],"domain_scores_gemma":[0.9992746,0.0001803629,0.0001110338,0.0001530819,0.0001131516,0.0001678101],"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":[0.0000446411,0.00002631435,0.0002783852,0.00003682949,0.000007413536,0.0001453364,0.0003502871,0.0008138847,0.003468906,0.9786063,0.0008239711,0.01539768],"study_design_scores_gemma":[0.00001679077,0.00007239692,0.0005052501,0.00002825597,0.00001120546,0.0002755234,0.0004055037,0.005151374,0.003111212,0.9747109,0.01570014,0.00001149137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.541168,0.002404019,0.1653983,0.001314466,0.0004945845,0.0001504224,0.0003765241,0.0006484209,0.2880452],"genre_scores_gemma":[0.9597516,0.0005714464,0.01463261,0.0002043422,0.0002111164,0.0000485222,0.0001820541,0.00007141618,0.02432693],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01143292,"threshold_uncertainty_score":0.03824693,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3033412122","doi":"10.1017/s0004972720000477","title":"A REFORMULATION OF THE DYNAMICAL MANIN–MUMFORD CONJECTURE","year":2020,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Endomorphism; Conjecture; Mathematics; Abelian group; Pure mathematics; Beal's conjecture","authors":[{"name":"Dragos Ghioca","is_ca":true},{"name":"Thomas J. Tucker","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03555894321780724,"gpt":0.270655483542954,"spread":0.2350965403251468,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001545221,0.0003689523,0.0004291469,0.0007533072,0.001448316,0.002203906,0.001130403,0.001076866,0.00997704],"category_scores_gemma":[0.003717281,0.0002124846,0.0006384614,0.0006355646,0.004041594,0.007025128,0.002311324,0.001757392,0.001011925],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00133466,"about_ca_system_score_gemma":0.0006685115,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007183792,"about_ca_topic_score_gemma":0.0006280731,"domain_scores_codex":[0.9991708,0.0001993473,0.00003618983,0.0002479023,0.0002251771,0.0001206608],"domain_scores_gemma":[0.9987649,0.0003881022,0.0001398544,0.0003617884,0.00022687,0.0001185114],"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":[0.000006103645,0.000003161255,0.00005606843,0.000008341167,9.795579e-7,0.00002186936,0.00004761426,0.00019116,0.0001420495,0.9975616,0.0007572466,0.001203706],"study_design_scores_gemma":[0.00001007347,0.00001334431,0.0001506628,0.00001486569,0.000002918383,0.0001144839,0.00006217723,0.002958758,0.0004065059,0.9856317,0.01062683,0.00000766366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1736828,0.001673583,0.4383017,0.0169551,0.002555829,0.00009627689,0.0004485379,0.0004322236,0.3658539],"genre_scores_gemma":[0.9454093,0.0007331173,0.02962513,0.001510628,0.001241353,0.00008558606,0.0002783613,0.00006712834,0.02104937],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00997704,"threshold_uncertainty_score":0.03337651,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2253198932","doi":"10.1017/s0004972715001112","title":"A CLOSED FORM FOR THE DENSITY FUNCTIONS OF RANDOM WALKS IN ODD DIMENSIONS","year":2015,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Random walk; Pure mathematics; Combinatorics; Statistics","authors":[{"name":"Jonathan M. Borwein","is_ca":false},{"name":"Corwin Sinnamon","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08208785722918291,"gpt":0.317417441300687,"spread":0.2353295840715041,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001372303,0.001307788,0.0008338956,0.001886483,0.0005889359,0.002005682,0.002092004,0.001634003,0.004809743],"category_scores_gemma":[0.01117832,0.0005391882,0.0009890505,0.001413821,0.001661495,0.003769802,0.001693228,0.002815816,0.001874009],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001196547,"about_ca_system_score_gemma":0.0008201661,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001694744,"about_ca_topic_score_gemma":0.001466871,"domain_scores_codex":[0.9995906,0.00009950497,0.00002089835,0.00009726253,0.0001282677,0.00006364869],"domain_scores_gemma":[0.9976828,0.001312554,0.0002345347,0.0001956067,0.0004221128,0.0001524187],"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":[0.0000244138,0.00004712854,0.000502925,0.0002388373,0.00001682578,0.0002432838,0.0003337412,0.0376925,0.004042685,0.9362465,0.002980636,0.0176305],"study_design_scores_gemma":[0.00001029518,0.0000280656,0.0004440267,0.000106584,0.00001883859,0.0006510693,0.0001320568,0.3966424,0.001145115,0.5944452,0.006318338,0.00005794666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01329372,0.000660355,0.9772684,0.0004199522,0.000119338,0.00003676991,0.0001668396,0.000176789,0.007857829],"genre_scores_gemma":[0.5642413,0.005309207,0.4053794,0.0008983521,0.000509689,0.0004526369,0.0007279482,0.0007612457,0.02172017],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004809743,"threshold_uncertainty_score":0.01609015,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2072687636","doi":"10.1017/s0004972700036236","title":"The day norm and Gruenhage compacta","year":2004,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Akademie Věd České Republiky; Grantová Agentura České Republiky; University of Alberta","keywords":"Mathematics; Norm (philosophy); Convexity; Pure mathematics; Sigma; Elementary proof; Epistemology","authors":[{"name":"Marián Fabian","is_ca":false},{"name":"V. Montesinos","is_ca":true},{"name":"Václav Zizler","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02709049195087747,"gpt":0.2936257919433974,"spread":0.26653529999252,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00126807,0.000559569,0.0006637287,0.001679018,0.001201902,0.003319267,0.0006697206,0.0006457745,0.003548784],"category_scores_gemma":[0.002842219,0.0002853212,0.0005711257,0.0007924119,0.00592879,0.004476158,0.003132309,0.002102493,0.0005513892],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001113731,"about_ca_system_score_gemma":0.0004775085,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001032927,"about_ca_topic_score_gemma":0.0009499898,"domain_scores_codex":[0.9988404,0.000309204,0.00006228423,0.0002831844,0.0003386456,0.0001663531],"domain_scores_gemma":[0.9979091,0.0007266823,0.0002694451,0.0002489072,0.0004984617,0.0003474545],"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":[0.0000139539,0.00000342554,0.0001627772,0.00002044057,0.000005859149,0.00003227995,0.0001863708,0.0002584809,0.0008515735,0.9956437,0.0003526942,0.002468411],"study_design_scores_gemma":[0.000007384651,0.00003703321,0.0008590405,0.00002157583,0.000006178785,0.0001940357,0.0003024404,0.002342785,0.001026004,0.9847142,0.01047212,0.00001725111],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4908922,0.005130158,0.2962246,0.003531356,0.0003953726,0.00006922688,0.0004807801,0.0002326777,0.2030436],"genre_scores_gemma":[0.9543746,0.001205881,0.02215704,0.0002744173,0.0001977968,0.00008548913,0.0002265633,0.00007735883,0.02140081],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003548784,"threshold_uncertainty_score":0.01187181,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2158251557","doi":"10.1017/s0004972700035012","title":"On<i>C</i><sup>*</sup>-algebras with the approximate<i>n</i>-th root property","year":2005,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada; Nipissing University","keywords":"Mathematics; Commutative property; Unital; Separable space; Ideal (ethics); Quotient; Pure mathematics; Primary ideal; Discrete mathematics; Commutative ring; Algebra over a field; Combinatorics; Mathematical analysis","authors":[{"name":"Alex Chigogidze","is_ca":false},{"name":"A. Karasev","is_ca":true},{"name":"Kazuhiro Kawamura","is_ca":false},{"name":"Vesko Valov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.033457380735707,"gpt":0.2925010516986777,"spread":0.2590436709629708,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001117637,0.0005536062,0.0005674757,0.001481354,0.00146922,0.001751306,0.0006521365,0.0005772281,0.003801493],"category_scores_gemma":[0.001853756,0.0002621211,0.0006021747,0.001258909,0.004052906,0.003077811,0.001320749,0.001075618,0.0007724726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009935863,"about_ca_system_score_gemma":0.0006737146,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001068944,"about_ca_topic_score_gemma":0.0008803571,"domain_scores_codex":[0.9990668,0.0002094035,0.00004837449,0.0001498281,0.0002935306,0.000232092],"domain_scores_gemma":[0.9983531,0.0004121662,0.0004136537,0.00014873,0.0002632907,0.0004090527],"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":[0.00009877072,0.00002571723,0.001007618,0.0001047654,0.00001480159,0.0004151768,0.0005547031,0.002950538,0.006846374,0.9783925,0.0006138078,0.008975181],"study_design_scores_gemma":[0.00001921346,0.0002064416,0.00235228,0.00004653839,0.00001651022,0.0007441165,0.0004388599,0.01770806,0.006504359,0.9653386,0.006571861,0.00005317771],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7016612,0.002296377,0.180742,0.0006949155,0.0001998395,0.00009073313,0.0002619238,0.0002412638,0.1138117],"genre_scores_gemma":[0.9634695,0.0007176176,0.02640314,0.0001594851,0.0001689945,0.00005893884,0.0002227452,0.00004427212,0.0087554],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003801493,"threshold_uncertainty_score":0.01271725,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1966886707","doi":"10.1017/s0004972700022292","title":"Generalised Bernoulli polynomials and series","year":2000,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Polytechnique Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Bernoulli polynomials; Bessel function; Series (stratigraphy); Taylor series; Generating function; Order (exchange); Discrete orthogonal polynomials; Wilson polynomials; Pure mathematics; Classical orthogonal polynomials; Orthogonal polynomials; Recurrence relation; Bessel polynomials; Difference polynomials; Bernoulli number; Gegenbauer polynomials; Euler's formula; Discrete mathematics; Combinatorics; Mathematical analysis","authors":[{"name":"Clément Frappier","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03438887908996528,"gpt":0.2866545944476889,"spread":0.2522657153577236,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006544804,0.0006559129,0.0005771068,0.001787002,0.000826749,0.001425348,0.0007976894,0.0006684398,0.005789455],"category_scores_gemma":[0.004314409,0.0002611629,0.0006744787,0.002443955,0.001775636,0.002610437,0.001283651,0.001715215,0.001150166],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008555932,"about_ca_system_score_gemma":0.0005113473,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001016011,"about_ca_topic_score_gemma":0.001042253,"domain_scores_codex":[0.999415,0.0001213902,0.00002707182,0.00009222824,0.0002610666,0.00008333208],"domain_scores_gemma":[0.9991066,0.0003460579,0.0001741169,0.0001138053,0.0001607686,0.00009863445],"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":[0.00001541839,0.000007550325,0.0001613932,0.00008007071,0.000007369902,0.0001785436,0.000163212,0.004649476,0.001331036,0.9782601,0.001312672,0.01383313],"study_design_scores_gemma":[0.000007110018,0.00001904315,0.0003289407,0.00003504907,0.000009803006,0.0004687349,0.00003519202,0.01502924,0.0006096681,0.9666727,0.0167646,0.00001991451],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2710679,0.02339716,0.4757129,0.004187167,0.002931151,0.00009024963,0.0003923373,0.0005461598,0.2216751],"genre_scores_gemma":[0.8682651,0.01241964,0.05817104,0.0008102444,0.003401831,0.00007211719,0.0002782452,0.0002284473,0.05635335],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005789455,"threshold_uncertainty_score":0.01936769,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1991400804","doi":"10.1017/s0004972711002279","title":"A NOTE ON NIELSEN EQUIVALENCE IN FINITELY GENERATED ABELIAN GROUPS","year":2011,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"York University","keywords":"Mathematics; Abelian group; Rank of an abelian group; Elementary abelian group; Non-abelian group; Combinatorics; G-module; Rank (graph theory); Free abelian group; Equivalence (formal languages); Automorphism; Graph; Pure mathematics; Discrete mathematics","authors":[{"name":"Daniel Oancea","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09031598133966928,"gpt":0.3183979921316468,"spread":0.2280820107919775,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007886581,0.0002510953,0.0004072275,0.001458756,0.001384499,0.001414458,0.0005611174,0.0007797944,0.003994626],"category_scores_gemma":[0.002652599,0.0002094457,0.0004636658,0.0008787196,0.00291258,0.002413366,0.001800065,0.00175426,0.000269114],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008293442,"about_ca_system_score_gemma":0.0003688805,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001505028,"about_ca_topic_score_gemma":0.001758348,"domain_scores_codex":[0.9989673,0.0002656975,0.00005089239,0.0001318413,0.0004338728,0.0001505212],"domain_scores_gemma":[0.9980814,0.001350183,0.0001024904,0.0001241651,0.0001889045,0.0001528009],"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":[0.00002555128,0.00002028553,0.0004463128,0.00002341335,0.000005618715,0.0001879853,0.0002927197,0.0005338978,0.0007669787,0.9915506,0.001252987,0.004893746],"study_design_scores_gemma":[0.000007447896,0.00003057224,0.0007175853,0.00001375108,0.000005059768,0.0001340821,0.00009182793,0.001624227,0.0006833447,0.9848422,0.01183995,0.00001005197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5054902,0.004684968,0.07819378,0.006243179,0.003864979,0.00006052349,0.0002763695,0.0002209942,0.400965],"genre_scores_gemma":[0.9769256,0.000919404,0.008116445,0.0004287156,0.001323004,0.00002158245,0.0001143674,0.00002535901,0.01212552],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003994626,"threshold_uncertainty_score":0.0133633,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2150958489","doi":"10.1017/s0004972712000834","title":"CONSTRUCTION OF NORMAL NUMBERS USING THE DISTRIBUTION OF THE LARGEST PRIME FACTOR","year":2012,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Combinatorics; Integer (computer science); Prime number; Prime factor; Base (topology); Prime (order theory); Concatenation (mathematics); Sequence (biology); Irrational number; Distribution (mathematics); Geometry; Mathematical analysis","authors":[{"name":"Jean–Marie De Koninck","is_ca":true},{"name":"Imre Kátai","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06684507023284411,"gpt":0.3335242325727295,"spread":0.2666791623398854,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009569962,0.0005806645,0.0006303906,0.001701416,0.001191113,0.001548378,0.0007312141,0.0005297849,0.004581891],"category_scores_gemma":[0.004119252,0.0004109055,0.0006337457,0.000794258,0.003107516,0.002685051,0.002550433,0.001913566,0.001659648],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001264252,"about_ca_system_score_gemma":0.0006898718,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007491016,"about_ca_topic_score_gemma":0.0005558375,"domain_scores_codex":[0.9990534,0.000199985,0.00004170381,0.0002474681,0.0003052444,0.0001521969],"domain_scores_gemma":[0.9985968,0.0004058531,0.0001445948,0.0002708153,0.0003264507,0.0002554265],"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":[0.0002708329,0.00004497459,0.001545096,0.00004447224,0.000006745998,0.0002536516,0.0003775292,0.004288126,0.01222891,0.9467394,0.002173993,0.03202644],"study_design_scores_gemma":[0.00008666624,0.0002046617,0.0007841095,0.0000356795,0.00001301176,0.0006145273,0.0001611381,0.04992069,0.01717788,0.9045489,0.0263697,0.00008293927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4095649,0.0004113079,0.5286523,0.001011669,0.0006947262,0.0002056196,0.0003799684,0.00151053,0.05756908],"genre_scores_gemma":[0.8398728,0.0003025897,0.1398659,0.0001948187,0.0002281955,0.0001909121,0.0003782283,0.0003293004,0.01863711],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004581891,"threshold_uncertainty_score":0.01532799,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3091072354","doi":"10.1017/s0004972720000647","title":"LARGE VALUES OF <i>L</i>-FUNCTIONS ON THE 1-LINE","year":2020,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Dedekind cut; Line (geometry); Combinatorics; Order (exchange); Riemann hypothesis; Riemann zeta function; Function (biology); Pure mathematics; Geometry","authors":[{"name":"Anup B. Dixit","is_ca":true},{"name":"Kamalakshya Mahatab","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1015781640215065,"gpt":0.3378532928759624,"spread":0.2362751288544558,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030983,0.001535682,0.00123243,0.003170637,0.001661275,0.004068555,0.002227865,0.001780714,0.005021465],"category_scores_gemma":[0.01615837,0.0005115531,0.0009451332,0.0009925796,0.004468492,0.00592507,0.002160593,0.003910646,0.0008988125],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002822697,"about_ca_system_score_gemma":0.0005546091,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006600466,"about_ca_topic_score_gemma":0.0003705125,"domain_scores_codex":[0.9987764,0.0004103547,0.00003100592,0.000242001,0.0002162281,0.0003241211],"domain_scores_gemma":[0.9880013,0.007490944,0.001462996,0.0006269654,0.0008914927,0.001526357],"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":[0.0003047516,0.0001017919,0.003575653,0.0002901572,0.00006859654,0.0004905206,0.0004210269,0.02331334,0.00814551,0.9505768,0.003754374,0.008957357],"study_design_scores_gemma":[0.00004418933,0.0001634205,0.003345136,0.0002903095,0.00006647067,0.0008549871,0.0002808053,0.1959346,0.008785165,0.7835822,0.006542441,0.0001104444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6627893,0.00567846,0.2238979,0.006715347,0.0003405201,0.00005447152,0.0003008394,0.0007471386,0.09947605],"genre_scores_gemma":[0.9822718,0.001187482,0.008838725,0.000334464,0.0002810888,0.00007967911,0.0001772306,0.0001693348,0.006660199],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005021465,"threshold_uncertainty_score":0.02048022,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1999881617","doi":"10.1017/s0004972708000099","title":"OUTER AUTOMORPHISM GROUPS OF CERTAIN TREE PRODUCTS OF ABELIAN GROUPS","year":2008,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Abelian group; Tree (set theory); Automorphism; Non-abelian group; Rank of an abelian group; Inner automorphism; Elementary abelian group; Automorphism group; Pure mathematics; Combinatorics; Discrete mathematics","authors":[{"name":"Y. D. Chai","is_ca":false},{"name":"Younggi Choi","is_ca":false},{"name":"Goansu Kim","is_ca":false},{"name":"C. Y. Tang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03869099300674883,"gpt":0.2705307745244882,"spread":0.2318397815177394,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000605256,0.0002602169,0.0003264825,0.0007104635,0.0006569498,0.001252777,0.0003534654,0.0003452126,0.003108649],"category_scores_gemma":[0.00143988,0.0001928574,0.0003940512,0.0003590736,0.001405352,0.00222149,0.001428231,0.0006015446,0.0003878779],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002385763,"about_ca_system_score_gemma":0.0001728436,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000182896,"about_ca_topic_score_gemma":0.0001471417,"domain_scores_codex":[0.9995809,0.00008424647,0.00002365507,0.00007852933,0.0001335086,0.00009919249],"domain_scores_gemma":[0.9988036,0.0004083285,0.0002670531,0.0001324495,0.0001490184,0.000239449],"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":[0.0002412352,0.00006825163,0.004368196,0.0000595039,0.00002605599,0.0009202216,0.00221415,0.00186448,0.0260661,0.9532214,0.0003832608,0.01056713],"study_design_scores_gemma":[0.00005277008,0.0004103274,0.004497735,0.00002678744,0.00005502826,0.001238102,0.001248644,0.009710157,0.03012566,0.9391007,0.01349861,0.00003557367],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9632707,0.0001162413,0.027685,0.00006720712,0.00002003202,0.00001568732,0.00003364831,0.00009395665,0.008697666],"genre_scores_gemma":[0.9938527,0.00005748517,0.002961285,0.00002019136,0.00002438138,0.00001093202,0.00007237274,0.00002290533,0.002977719],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003108649,"threshold_uncertainty_score":0.01039946,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2149410667","doi":"10.1017/s0004972710001632","title":"PERFECT COLOURINGS OF ISONEMAL FABRICS BY THIN STRIPING","year":2010,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Mathematics and Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Data striping; Mathematics; Combinatorics; Genus; Computer science; Botany; Operating system; Biology","authors":[{"name":"R. S. D. Thomas","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02774814093972463,"gpt":0.2896136132817982,"spread":0.2618654723420736,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003797656,0.000522354,0.0004334885,0.001475897,0.0007529068,0.001720203,0.0003554444,0.0002857881,0.007456908],"category_scores_gemma":[0.001314285,0.0003046743,0.0004807823,0.0008166555,0.002658827,0.001514785,0.001494064,0.000949721,0.0006183403],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004044157,"about_ca_system_score_gemma":0.0001462344,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005037733,"about_ca_topic_score_gemma":0.0005138309,"domain_scores_codex":[0.9994189,0.0001196806,0.00003905927,0.00009909547,0.0001742131,0.0001490889],"domain_scores_gemma":[0.9988571,0.0002243445,0.0002238976,0.0003090409,0.000165896,0.0002197327],"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":[0.0006047762,0.00004882268,0.004438298,0.0002158847,0.00003208866,0.001013205,0.001357351,0.005553566,0.0374326,0.8792351,0.003612401,0.06645578],"study_design_scores_gemma":[0.00005964699,0.0004999175,0.01516863,0.0001549821,0.00004434875,0.002529464,0.001520895,0.01250148,0.03042079,0.8808044,0.05618628,0.0001091753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8514693,0.0006791427,0.05932179,0.0002276992,0.0003758757,0.00003066558,0.0001802323,0.000330589,0.08738481],"genre_scores_gemma":[0.9741516,0.0002331956,0.01332369,0.00006485485,0.00007019414,0.00001224182,0.0001577944,0.0001143312,0.01187208],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007456908,"threshold_uncertainty_score":0.0249458,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2142883049","doi":"10.1017/s0004972700035048","title":"Finding the group structure of elliptic curves over finite fields","year":2005,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Killam Trusts; National Science Foundation","keywords":"Mathematics; Schoof's algorithm; Finite field; Elliptic curve; Division polynomials; Divisor (algebraic geometry); Prime (order theory); Supersingular elliptic curve; Group (periodic table); Hessian form of an elliptic curve; Field (mathematics); Polynomial; Twists of curves; Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Quarter period","authors":[{"name":"John Friedlander","is_ca":true},{"name":"Carl Pomerance","is_ca":false},{"name":"Igor E. Shparlinski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01519964463907791,"gpt":0.2434240313792095,"spread":0.2282243867401316,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001351765,0.0006609748,0.0007573518,0.001600189,0.001254135,0.002187854,0.001204567,0.0009121222,0.00279699],"category_scores_gemma":[0.010594,0.0004702001,0.0006155387,0.001141263,0.00219565,0.006608627,0.0025156,0.002055664,0.0006120676],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008447494,"about_ca_system_score_gemma":0.001014095,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007175455,"about_ca_topic_score_gemma":0.00072228,"domain_scores_codex":[0.9989248,0.0001963158,0.00004988936,0.0002922683,0.0003758211,0.0001608334],"domain_scores_gemma":[0.9954418,0.002246686,0.0005946027,0.001223731,0.0002519009,0.0002412368],"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":[0.001116672,0.0004517689,0.04536099,0.0005187804,0.0001849671,0.0008417513,0.002482099,0.1333576,0.04360311,0.5437942,0.006992724,0.2212954],"study_design_scores_gemma":[0.00009931962,0.0002299635,0.00339394,0.00004890966,0.00005098426,0.0003382754,0.0003241704,0.2183909,0.0229835,0.7502891,0.003793321,0.00005763824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7379951,0.0003909772,0.2527697,0.001461627,0.00004932016,0.00008580852,0.0002405178,0.0006552353,0.006351594],"genre_scores_gemma":[0.9377636,0.0002407771,0.0595977,0.00005879941,0.00008095181,0.00003710375,0.0003300186,0.0000600543,0.001831039],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00279699,"threshold_uncertainty_score":0.009356797,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3195490484","doi":"10.1017/s0004972721000976","title":"ON FINE SELMER GROUPS AND SIGNED SELMER GROUPS OF ELLIPTIC MODULAR FORMS","year":2022,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Coprime integers; Modular form; Divisor (algebraic geometry); Prime (order theory); Abelian group; Context (archaeology); Pure mathematics; Elliptic curve; Algebra over a field; Discrete mathematics; Combinatorics","authors":[{"name":"Antonio Lei","is_ca":true},{"name":"Meng Fai Lim","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02142951374256583,"gpt":0.2514640078522473,"spread":0.2300344941096815,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007034038,0.0005303758,0.0005006772,0.002565849,0.001307426,0.002528521,0.0004762053,0.0007217409,0.003997302],"category_scores_gemma":[0.002969255,0.0002354863,0.0003698864,0.0009790303,0.003882254,0.004413884,0.002304752,0.001233091,0.0002752502],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008679677,"about_ca_system_score_gemma":0.0003474601,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003963188,"about_ca_topic_score_gemma":0.0004308404,"domain_scores_codex":[0.9996845,0.00007363573,0.00001234155,0.00005543562,0.00008820727,0.00008593253],"domain_scores_gemma":[0.9985437,0.0004953789,0.0004024745,0.0001008133,0.0001069586,0.000350617],"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":[0.00004207474,0.00003414138,0.001160688,0.00001987633,0.00000591376,0.0002237017,0.0006883454,0.001064868,0.00113493,0.9923289,0.0002200305,0.003076474],"study_design_scores_gemma":[0.00002394405,0.00005907077,0.001655866,0.00002570165,0.000007084123,0.0002310708,0.0004909023,0.004519858,0.0008049806,0.9898336,0.002331459,0.00001642792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9497862,0.0005077087,0.02097334,0.0007514211,0.00007479896,0.00002550967,0.00004318138,0.00004421248,0.02779349],"genre_scores_gemma":[0.9943501,0.000184187,0.001655347,0.00004895844,0.0001059176,0.00001352961,0.00003853317,0.000006373882,0.003597015],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003997302,"threshold_uncertainty_score":0.0133723,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4293223910","doi":"10.1017/s0004972722000764","title":"THE SECOND SHIFTED DIFFERENCE OF PARTITIONS AND ITS APPLICATIONS","year":2022,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Partition (number theory); Convexity; Combinatorics; Rank (graph theory); Partition function (quantum field theory); Function (biology); Upper and lower bounds; Mathematical analysis; Physics","authors":[{"name":"Kevin Gomez","is_ca":false},{"name":"Joshua Males","is_ca":true},{"name":"Larry Rolen","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04381526815692646,"gpt":0.2986842874427026,"spread":0.2548690192857762,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002696689,0.0009497287,0.0008071762,0.00344617,0.0009430835,0.001754471,0.001940139,0.0008477778,0.006493995],"category_scores_gemma":[0.01476762,0.0005100087,0.000972877,0.001308584,0.00346466,0.003649694,0.002599932,0.00289758,0.0007955313],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002070596,"about_ca_system_score_gemma":0.0006605652,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001684632,"about_ca_topic_score_gemma":0.00100863,"domain_scores_codex":[0.9981959,0.0006844517,0.00005328576,0.0003333226,0.000531294,0.0002016249],"domain_scores_gemma":[0.9931987,0.004061523,0.0006785597,0.0007273561,0.0008089492,0.0005249537],"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":[0.0001102326,0.00003085622,0.002041351,0.0001249144,0.00002794665,0.0001338557,0.0001718712,0.01631362,0.004278637,0.9627286,0.001783014,0.01225521],"study_design_scores_gemma":[0.00002390715,0.0001250169,0.003811079,0.0001211762,0.00002794952,0.0005273259,0.0001982041,0.2023153,0.006295173,0.7778267,0.008653709,0.00007443075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3664469,0.005755973,0.5509779,0.002917505,0.0007864747,0.00009486275,0.0005353401,0.0004186032,0.07206637],"genre_scores_gemma":[0.9385424,0.001125749,0.0498008,0.0004655513,0.0007535636,0.00008497989,0.0003178042,0.0002605493,0.00864864],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006493995,"threshold_uncertainty_score":0.02172452,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2024389767","doi":"10.1017/s0004972711003042","title":"HELICOIDAL MINIMAL SURFACES IN ℍ<sup>2</sup>×ℝ","year":2011,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Invariant (physics); Pure mathematics; Minimal surface; Surface (topology); Conjugate; Mathematical analysis; Geometry; Mathematical physics","authors":[{"name":"Young‐Wook Kim","is_ca":true},{"name":"Sung-Eun Koh","is_ca":false},{"name":"Heayong Shin","is_ca":false},{"name":"Seong-Deog Yang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01825758795763855,"gpt":0.2224374870673145,"spread":0.204179899109676,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002814614,0.0003660216,0.0003616767,0.001104682,0.0008693898,0.001969956,0.0002852051,0.0004356166,0.003686959],"category_scores_gemma":[0.0005281536,0.0002147894,0.0002771034,0.0003341155,0.001047421,0.000922123,0.001005857,0.0004894095,0.0003972955],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005950068,"about_ca_system_score_gemma":0.0002253835,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006163001,"about_ca_topic_score_gemma":0.0004407424,"domain_scores_codex":[0.9997895,0.00002809922,0.00001244397,0.00004122315,0.00008037411,0.00004846021],"domain_scores_gemma":[0.9997755,0.00004356163,0.00005982389,0.00001997458,0.00004164187,0.00005953704],"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":[0.0003079354,0.00004354738,0.002087237,0.00006415087,0.00002604381,0.0006466112,0.0008710981,0.005763432,0.02489269,0.9498717,0.001612192,0.01381345],"study_design_scores_gemma":[0.00008724216,0.0002609706,0.009897289,0.00005850205,0.00004365043,0.001188688,0.001818228,0.0348526,0.01612497,0.906414,0.02918627,0.00006762298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.946962,0.0002414534,0.01547923,0.0002594298,0.0000705861,0.00003455658,0.0001201074,0.00009849483,0.03673406],"genre_scores_gemma":[0.9912146,0.00007501778,0.002386504,0.00002990052,0.00002649824,0.0000204016,0.0001321535,0.00002101612,0.006093957],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003686959,"threshold_uncertainty_score":0.01233411,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2146940934","doi":"10.1017/s0004972700037953","title":"Powerful numbers in short intervals","year":2005,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Ciencia y Tecnología","keywords":"Mathematics; Integer (computer science); Interval (graph theory); Conjecture; Combinatorics; Discrete mathematics","authors":[{"name":"Jean–Marie De Koninck","is_ca":true},{"name":"Florian Luca","is_ca":false},{"name":"Igor E. Shparlinski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05975522520348473,"gpt":0.3543378579093029,"spread":0.2945826327058181,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002196776,0.0006456797,0.0009707277,0.002523421,0.001359863,0.003741035,0.0009696055,0.0008253787,0.008110495],"category_scores_gemma":[0.01920666,0.0005264866,0.0007045151,0.001732038,0.00384845,0.007490865,0.004086859,0.003183223,0.001073123],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001348881,"about_ca_system_score_gemma":0.0004103078,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003983615,"about_ca_topic_score_gemma":0.0002774458,"domain_scores_codex":[0.9982986,0.0003767463,0.00008219731,0.0003430066,0.0005259442,0.0003735882],"domain_scores_gemma":[0.9870672,0.008645199,0.001447878,0.001097317,0.000626631,0.001115793],"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":[0.0001247606,0.00001242843,0.0007251748,0.0001017581,0.00001299924,0.0001594516,0.0004442501,0.00147281,0.001420754,0.9829154,0.002255876,0.01035426],"study_design_scores_gemma":[0.00003661444,0.00005407096,0.0007902324,0.00005223836,0.00002888431,0.0003790835,0.0001388266,0.007017676,0.0009754819,0.976095,0.01440953,0.00002235517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5182731,0.01395498,0.1900779,0.006509576,0.001290093,0.0001190485,0.0008014757,0.0009949759,0.2679789],"genre_scores_gemma":[0.9735822,0.00148852,0.01189396,0.0004418061,0.0007145579,0.0001047949,0.0002452,0.000107922,0.01142096],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008110495,"threshold_uncertainty_score":0.02713233,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1985795385","doi":"10.1017/s000497270900094x","title":"EHRLICH’S THEOREM FOR GROUPS","year":2010,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary; Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Endomorphism; Mathematics; Automorphism; Unit (ring theory); Group (periodic table); Combinatorics; Discrete mathematics; Pure mathematics; Mathematics education","authors":[{"name":"Yuanlin Li","is_ca":true},{"name":"W. K. Nicholson","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03657960405824517,"gpt":0.2881412886544986,"spread":0.2515616845962534,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001811862,0.0002832197,0.0005351484,0.001203148,0.001245457,0.001180374,0.0003927748,0.0005413468,0.003457642],"category_scores_gemma":[0.002959954,0.0001567069,0.0006514877,0.0005745317,0.002767689,0.00259576,0.001894825,0.001116795,0.0004114882],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001086845,"about_ca_system_score_gemma":0.0004967499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008912274,"about_ca_topic_score_gemma":0.000420377,"domain_scores_codex":[0.9988114,0.0002403498,0.00007175755,0.0002391709,0.0004262714,0.0002111195],"domain_scores_gemma":[0.9982765,0.0007156713,0.0001683253,0.0002552601,0.0003956593,0.0001886385],"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":[0.0000303815,0.00001358741,0.000605441,0.00003157779,0.00000913524,0.0000826851,0.0002769608,0.0003648095,0.0007188093,0.9914288,0.0009530181,0.005484797],"study_design_scores_gemma":[0.00003226768,0.00004935243,0.001042289,0.00001011711,0.00001218443,0.0002132164,0.0001104373,0.002630089,0.001271915,0.9801922,0.01442332,0.00001263093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5947781,0.002214351,0.170051,0.004884376,0.0005632655,0.0001070236,0.0005041462,0.0003142351,0.2265835],"genre_scores_gemma":[0.9797485,0.0003386797,0.01023064,0.0003029912,0.0002758621,0.00002915123,0.0001638251,0.00001827637,0.008892044],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003457642,"threshold_uncertainty_score":0.01156694,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2131677444","doi":"10.1017/s0004972700035784","title":"ABS-type methods for solving full row rank linear systems using a new rank two update","year":2004,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Sharif University of Technology; York University","keywords":"Mathematics; Rank (graph theory); Dimension (graph theory); Type (biology); Matrix (chemical analysis); System of linear equations; Linear equation; Class (philosophy); Applied mathematics; Augmented matrix; Linear system; Combinatorics; Mathematical analysis; Square matrix; Symmetric matrix; Eigenvalues and eigenvectors","authors":[{"name":"Keyvan Amini","is_ca":false},{"name":"Nezam Mahdavi‐Amiri","is_ca":false},{"name":"M. Reza Peyghami","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04777071579681103,"gpt":0.3429566183003342,"spread":0.2951859025035232,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001074507,0.001037268,0.0005940362,0.0005915776,0.0005001361,0.0008014975,0.0009408555,0.0007189114,0.004847387],"category_scores_gemma":[0.003279342,0.0003789011,0.0007077708,0.0004333769,0.001013337,0.001230202,0.001348168,0.002240286,0.00196124],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003251214,"about_ca_system_score_gemma":0.0008744773,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001970813,"about_ca_topic_score_gemma":0.003577631,"domain_scores_codex":[0.9991277,0.0002989827,0.00005223919,0.00007765148,0.0003907771,0.00005266352],"domain_scores_gemma":[0.9982842,0.0007754032,0.0001301931,0.0002986329,0.0004336993,0.00007792444],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004263205,0.0002535749,0.001483991,0.0003930778,0.0001053915,0.00025921,0.000551105,0.2008425,0.03166382,0.2328499,0.0163943,0.5147768],"study_design_scores_gemma":[0.0000531455,0.0001295613,0.0001922745,0.00001645121,0.00001298201,0.0001506459,0.00003299782,0.9300894,0.008317078,0.04815841,0.01281448,0.00003253016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004060374,0.00007420011,0.9933242,0.00008438114,0.00005627325,0.00003580225,0.00002923062,0.000416691,0.001918767],"genre_scores_gemma":[0.08344359,0.0001438337,0.9067464,0.0001567542,0.0001432713,0.000212763,0.0001390972,0.0002464284,0.008767925],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004847387,"threshold_uncertainty_score":0.0162161,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4304806462","doi":"10.1017/s0004972722001150","title":"A REMARK ON THE GEOMETRIC INTERPRETATION OF THE A3W CONDITION FROM OPTIMAL TRANSPORT","year":2022,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Division of Mathematical Sciences; Fields Institute for Research in Mathematical Sciences","keywords":"Interpretation (philosophy); Mathematics; Calculus (dental); Mathematical economics; Computer science","authors":[{"name":"Cale Rankin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02612102788418904,"gpt":0.2617508790605066,"spread":0.2356298511763175,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002122338,0.0005243347,0.0007202122,0.001543551,0.001360999,0.002355062,0.001137915,0.002260171,0.01371745],"category_scores_gemma":[0.004152528,0.000315411,0.001299596,0.0008817663,0.004467241,0.004668022,0.003500733,0.003858513,0.001332717],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000847087,"about_ca_system_score_gemma":0.0006859707,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001828674,"about_ca_topic_score_gemma":0.0006386756,"domain_scores_codex":[0.999111,0.000239126,0.00006490447,0.0001925392,0.0002511544,0.0001411724],"domain_scores_gemma":[0.9984201,0.0007188229,0.0001532033,0.0002233523,0.0003379209,0.0001466565],"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":[0.00001077802,0.000004290473,0.00007709089,0.00002705347,0.00000303619,0.00007819101,0.00007338841,0.0004567188,0.0006533341,0.9944729,0.002062971,0.002080139],"study_design_scores_gemma":[0.00001035716,0.00002846535,0.0003064919,0.00002157638,0.000004454224,0.0001831746,0.0000818593,0.004371821,0.0006202001,0.9795559,0.01480126,0.00001445243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1247854,0.003839336,0.5076908,0.03563748,0.003130012,0.0001426514,0.001434405,0.0007448936,0.3225951],"genre_scores_gemma":[0.8708261,0.002416331,0.07472822,0.006285938,0.001958749,0.0002633042,0.0005245425,0.0006827171,0.04231419],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01371745,"threshold_uncertainty_score":0.04588944,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4312117129","doi":"10.1017/s000497272200140x","title":"SIN, COS, EXP AND LOG OF LIOUVILLE NUMBERS","year":2022,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Division of Mathematical Sciences; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Transcendental number; Hyperbolic function; Alpha (finance); Inverse trigonometric functions; Transcendental function; Trigonometric functions; Transcendental equation; Trigonometry; Combinatorics; Pythagorean trigonometric identity; Pure mathematics; Mathematical analysis; Geometry; Differential equation; Polynomial; Statistics","authors":[{"name":"Taboka Chalebgwa","is_ca":true},{"name":"Sidney A. Morris","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01173015624292502,"gpt":0.2498994462813277,"spread":0.2381692900384027,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008260785,0.0004562365,0.0004217689,0.00216905,0.001203265,0.003135882,0.0005714268,0.0006073406,0.01181982],"category_scores_gemma":[0.00598872,0.0002140369,0.0003166696,0.001057735,0.003929705,0.003538107,0.0009202259,0.001789111,0.002160379],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001392817,"about_ca_system_score_gemma":0.000800651,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001443146,"about_ca_topic_score_gemma":0.001030755,"domain_scores_codex":[0.9994943,0.0001647183,0.00002102565,0.00009179276,0.000147401,0.00008081608],"domain_scores_gemma":[0.998626,0.0005578989,0.000161869,0.0001230117,0.0003228033,0.0002084002],"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":[0.00002702271,0.000007758604,0.0001779817,0.0000229646,0.000001528515,0.0000447698,0.0001391978,0.0005473315,0.0004696331,0.9870237,0.002512214,0.009025939],"study_design_scores_gemma":[0.000004415131,0.0000160544,0.0003446303,0.00002112378,0.000001811577,0.0001424627,0.00006944907,0.003608732,0.0005578046,0.9788764,0.01634287,0.00001432863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2034782,0.006472542,0.1048386,0.0056217,0.003377948,0.00005217904,0.0002957,0.0005484892,0.6753147],"genre_scores_gemma":[0.8642025,0.001960703,0.01314774,0.0009111076,0.00180173,0.00006979095,0.0001604086,0.0002247116,0.1175212],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01181982,"threshold_uncertainty_score":0.03954118,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2975307756","doi":"10.1017/s0004972719001023","title":"PRIME-UNIVERSAL QUADRATIC FORMS AND","year":2019,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Prime (order theory); Ternary operation; Prime number; Diagonal; Quadratic equation; Combinatorics; Quadratic form (statistics); Quadratic residue; Binary quadratic form; Isotropic quadratic form; Discrete mathematics; Quadratic function; Geometry; Computer science","authors":[{"name":"Greg Doyle","is_ca":true},{"name":"Kenneth S. Williams","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03519635512307036,"gpt":0.3053694869443363,"spread":0.270173131821266,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006706323,0.0004691408,0.0003888621,0.001042323,0.001178696,0.00115576,0.0005005508,0.0004463509,0.009412803],"category_scores_gemma":[0.002841519,0.0002528346,0.0003989614,0.0008024666,0.003305104,0.002222065,0.001797763,0.0008448412,0.0008387919],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009275758,"about_ca_system_score_gemma":0.0005205394,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007611397,"about_ca_topic_score_gemma":0.0006866899,"domain_scores_codex":[0.9993401,0.00008946423,0.00003588656,0.000184648,0.0001834463,0.0001664818],"domain_scores_gemma":[0.9989175,0.0002837114,0.0001955582,0.0001844729,0.0002286941,0.0001900414],"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":[0.00007680571,0.00001823504,0.0008692257,0.00008300544,0.000003801333,0.0001918515,0.0003838718,0.000848687,0.001899226,0.9837674,0.0009198934,0.01093808],"study_design_scores_gemma":[0.00002089562,0.00006712737,0.001277881,0.00003432283,0.00001331468,0.0007311886,0.0002835265,0.004449072,0.005420533,0.9737402,0.01393725,0.0000247366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7919667,0.001238933,0.05742183,0.0008169663,0.0002530924,0.00007028932,0.0003074225,0.0002556904,0.1476691],"genre_scores_gemma":[0.9803351,0.0002292259,0.007281122,0.00008448291,0.000085716,0.00001371168,0.0001484416,0.00002492823,0.01179735],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009412803,"threshold_uncertainty_score":0.03148896,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2981650987","doi":"10.1017/s0004972719001102","title":"A NOTE ON NORMALISED HEAT DIFFUSION FOR GRAPHS","year":2019,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Monotonic function; Heat equation; Diffusion; Laplace operator; Heat kernel; Combinatorics; Mathematical analysis; Thermodynamics; Physics","authors":[{"name":"Bogdan Nica","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04348557945156247,"gpt":0.3252619150649488,"spread":0.2817763356133863,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002238488,0.0006698042,0.0008796825,0.001350837,0.001031258,0.001685264,0.001351748,0.00130809,0.004979467],"category_scores_gemma":[0.01517844,0.0003778792,0.001045472,0.001235474,0.005527524,0.00393357,0.001983627,0.003269341,0.0006087594],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001097367,"about_ca_system_score_gemma":0.0005084753,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001947384,"about_ca_topic_score_gemma":0.001891523,"domain_scores_codex":[0.9991683,0.0003062103,0.00004038074,0.00015763,0.0002524586,0.00007501372],"domain_scores_gemma":[0.994312,0.004092997,0.0003195192,0.0005100905,0.0004522704,0.0003129429],"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":[0.0000309329,0.00001204705,0.0002305081,0.00009992607,0.00001034305,0.0001127798,0.0001832784,0.008354517,0.002525933,0.9793682,0.002679547,0.006392013],"study_design_scores_gemma":[0.00000446593,0.00001981715,0.0003197494,0.00002669206,0.000006400726,0.000124361,0.0000266072,0.02891992,0.0006438261,0.9643776,0.0055076,0.00002302679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1065059,0.007912134,0.7430807,0.009470317,0.004335287,0.00007914368,0.0003354868,0.0006747651,0.1276062],"genre_scores_gemma":[0.805046,0.005623756,0.1538546,0.002885138,0.002927605,0.0002024769,0.0001713676,0.0006615372,0.02862756],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004979467,"threshold_uncertainty_score":0.01665795,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2125109278","doi":"10.1017/s0004972700034298","title":"On biorthogonal systems and Maxur's intersection property","year":2004,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Intersection (aeronautics); Banach space; Property (philosophy); Biorthogonal system; Basis (linear algebra); Subspace topology; Pure mathematics; Linear subspace; Discrete mathematics; Mathematical analysis; Geometry","authors":[{"name":"Jan Rychtář","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03397699850961947,"gpt":0.284553591099,"spread":0.2505765925893805,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001112876,0.0004724775,0.000575617,0.001340629,0.001224711,0.001561156,0.0006591417,0.0004956389,0.004671989],"category_scores_gemma":[0.001655832,0.0002490667,0.000639507,0.0006616808,0.002275515,0.003100143,0.003077539,0.001262947,0.0006923506],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007374258,"about_ca_system_score_gemma":0.0003678685,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005692638,"about_ca_topic_score_gemma":0.0004040672,"domain_scores_codex":[0.999321,0.0001543197,0.00003713067,0.0001098327,0.000208389,0.0001694063],"domain_scores_gemma":[0.9992656,0.0001836774,0.0001349265,0.00009327119,0.0001795574,0.000142956],"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":[0.00002843329,0.00001174794,0.0002945286,0.00002695296,0.000006003467,0.0000794737,0.0002752872,0.001117286,0.002536797,0.9893126,0.0002648411,0.006046061],"study_design_scores_gemma":[0.0000187968,0.0001581279,0.00143976,0.00004033725,0.00001658245,0.0004414897,0.0005374053,0.02378258,0.006649515,0.9543272,0.01254206,0.00004604353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5684475,0.001730619,0.3078708,0.0008466817,0.0001067179,0.00005754201,0.0001745897,0.0002717732,0.1204937],"genre_scores_gemma":[0.9653405,0.0004868521,0.02355405,0.0001053075,0.00009007242,0.0000663844,0.0002068885,0.00007340616,0.01007654],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004671989,"threshold_uncertainty_score":0.01562935,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4386561681","doi":"10.1017/s0004972723000898","title":"THE MORDELL–LANG CONJECTURE FOR SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC","year":2023,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Subvariety; Mathematics; Algebraically closed field; Conjecture; Prime (order theory); Intersection (aeronautics); Variety (cybernetics); Pure mathematics; Field (mathematics); Combinatorics; Statistics","authors":[{"name":"Dragos Ghioca","is_ca":true},{"name":"Yang She","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02681460196918222,"gpt":0.2852713293521977,"spread":0.2584567273830154,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001164608,0.0002478214,0.000641675,0.001275388,0.001809009,0.00327869,0.0005546176,0.0009233121,0.003497762],"category_scores_gemma":[0.001517865,0.0002759392,0.0005970354,0.0007516877,0.004544215,0.006343176,0.002745637,0.001455593,0.000333316],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001771357,"about_ca_system_score_gemma":0.0005842035,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000926305,"about_ca_topic_score_gemma":0.000910786,"domain_scores_codex":[0.999429,0.00009781512,0.00002475336,0.00009609434,0.000165002,0.0001872754],"domain_scores_gemma":[0.9990062,0.0003502653,0.0001943519,0.0001169918,0.0001131324,0.0002191159],"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":[0.0001899219,0.00005116039,0.003105595,0.00005326307,0.00000880173,0.0005082714,0.001202741,0.001059762,0.001731122,0.9873828,0.0010833,0.003623211],"study_design_scores_gemma":[0.00004461817,0.00005400627,0.002646707,0.00004165245,0.00001148066,0.0005017883,0.001018347,0.004596926,0.001454649,0.9837896,0.005814838,0.0000252766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9520515,0.0004348816,0.01319866,0.001722897,0.00007858615,0.00001481559,0.00007749029,0.0001557238,0.0322656],"genre_scores_gemma":[0.9952165,0.0001193856,0.001475905,0.0001079311,0.00006971517,0.00001162649,0.00006340342,0.00001705224,0.002918435],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003497762,"threshold_uncertainty_score":0.01285219,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1963782883","doi":"10.1017/s0004972711002127","title":"EXOTIC LEFT-ORDERINGS OF THE FREE GROUPS FROM THE DEHORNOY ORDERING","year":2011,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Combinatorics; Free group; Braid group; Group (periodic table); Regular polygon; Geometry","authors":[{"name":"Adam Clay","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07597466627204683,"gpt":0.2530108331142087,"spread":0.1770361668421619,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000488281,0.000377803,0.0004199088,0.0009174144,0.001177472,0.002089293,0.000457812,0.0003958896,0.005176689],"category_scores_gemma":[0.001000933,0.000241657,0.0005476692,0.0003892276,0.002683615,0.002538113,0.001920587,0.001330809,0.000658324],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007194034,"about_ca_system_score_gemma":0.0004804046,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001024126,"about_ca_topic_score_gemma":0.001547373,"domain_scores_codex":[0.9994024,0.0001132022,0.00003945863,0.00009917459,0.0001888414,0.0001568937],"domain_scores_gemma":[0.9991399,0.0001741384,0.0001200509,0.0001638321,0.0001246727,0.0002772811],"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":[0.00009135945,0.00002170079,0.0004867137,0.00002562404,0.00000512558,0.0002705005,0.0008487419,0.0005260006,0.007409498,0.9852798,0.0004030509,0.004631883],"study_design_scores_gemma":[0.0000414461,0.00006639524,0.001200609,0.0000175092,0.00001231127,0.0003994138,0.0005694015,0.00335949,0.008888707,0.9687668,0.01664357,0.00003421608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8323923,0.0004355286,0.06868809,0.0004955615,0.0002219886,0.00005162219,0.0002168367,0.0002841499,0.09721387],"genre_scores_gemma":[0.9742225,0.0001390458,0.01051498,0.0001499049,0.0001047819,0.00005144043,0.0002706578,0.0001278002,0.014419],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005176689,"threshold_uncertainty_score":0.01731777,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2912854712","doi":"10.1017/s0004972718001648","title":"THE ERROR TERM IN THE SATO–TATE THEOREM OF BIRCH","year":2019,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Term (time); Measure (data warehouse); Elliptic curve; Calculus (dental); Type (biology)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.0320728609387014,"gpt":0.2944586873366772,"spread":0.2623858263979758,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005553105,0.001707666,0.00194065,0.003130782,0.003528708,0.003946964,0.002556534,0.002476544,0.01546752],"category_scores_gemma":[0.02303558,0.0008841104,0.002519988,0.002880503,0.009329415,0.01181776,0.007729567,0.009140723,0.005279293],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002755047,"about_ca_system_score_gemma":0.001597652,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002936267,"about_ca_topic_score_gemma":0.001322765,"domain_scores_codex":[0.9955799,0.001028261,0.0002399646,0.0007694223,0.001696185,0.0006862218],"domain_scores_gemma":[0.9913224,0.003977084,0.0005060907,0.001769311,0.00192098,0.0005041234],"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":[0.00005686336,0.00001188714,0.0002646702,0.00007068714,0.00001475837,0.0001003608,0.0002365564,0.0008242907,0.0005136312,0.9866594,0.00452709,0.006719771],"study_design_scores_gemma":[0.00001609434,0.00004757485,0.0003607756,0.0000549578,0.00002611266,0.0002231413,0.00006835409,0.01044235,0.001448048,0.9770156,0.01025298,0.00004414282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0843776,0.0057043,0.6426479,0.01756055,0.01114315,0.00009763714,0.0005795846,0.002232524,0.2356568],"genre_scores_gemma":[0.7691671,0.004156909,0.09130452,0.004842162,0.004601187,0.0003251408,0.0005358685,0.002622192,0.122445],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01546752,"threshold_uncertainty_score":0.05174404,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}