{"meta":{"query_hash":"72f7747c8ecc","filters":{"venue":"Uniform distribution theory"},"cohort_total":9,"direct_labels_cover":0,"predictions_cover":9,"exported":9,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/72f7747c8ecc","api":"https://metacan.xera.ac/api/v1/cohort?venue=Uniform+distribution+theory"},"results":[{"id":"W2576532738","doi":"10.1515/udt-2016-0005","title":"On Strong Normality","year":2016,"lang":"en","type":"article","venue":"Uniform distribution theory","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Normality; Mathematics; Statistics","score_opus":0.012554835116144029,"score_gpt":0.26215723515878847,"score_spread":0.24960240004264445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2576532738","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0027185245,0.000009568271,0.9912307,0.00079000904,0.0002633431,0.000058649664,0.000077939316,0.00014827946,0.0047029518],"genre_scores_gemma":[0.9813212,0.0000065467507,0.01759987,0.00026353862,0.000072213705,0.000008558423,0.000013991987,0.0000049020273,0.0007091454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990344,0.00015953156,0.00014799615,0.0002231556,0.00018004111,0.0002548592],"domain_scores_gemma":[0.9990009,0.00036539862,0.000061024122,0.00041624636,0.00004970921,0.00010672485],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007942866,0.000097626624,0.00009679761,0.000022198561,0.00011421839,0.00004191038,0.0004322031,0.000041169762,0.000104592924],"category_scores_gemma":[0.00022692265,0.000056045563,0.00006374545,0.00017392453,0.000070570444,0.0003108046,0.00011095335,0.00006957926,0.0002176902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000778747,0.000025342566,0.0000217519,9.1454206e-7,0.0000029978803,0.0000014716508,0.0000054823013,0.0000010416056,0.000097116215,0.7115097,0.00014168372,0.2881847],"study_design_scores_gemma":[0.0003772873,0.00014764743,0.00251411,0.000024240433,0.0000029207854,0.0000050948092,0.000010578634,0.00084001495,0.008687787,0.97329515,0.013913724,0.00018146537],"about_ca_topic_score_codex":0.0000023123544,"about_ca_topic_score_gemma":1.3633094e-7,"teacher_disagreement_score":0.9786027,"about_ca_system_score_codex":0.000093845716,"about_ca_system_score_gemma":0.00002445023,"threshold_uncertainty_score":0.27980396},"labels":[],"label_agreement":null},{"id":"W2794110009","doi":"10.1515/udt-2017-0013","title":"Palindromic Closures and Thue-Morse Substitution for Markoff Numbers","year":2017,"lang":"en","type":"article","venue":"Uniform distribution theory","topic":"semigroups and automata theory","field":"Computer Science","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Closure (psychology); Palindrome; Iterated function; Substitution (logic); Mathematics; Fibonacci number; Combinatorics; Word (group theory); Morse code; State (computer science); Discrete mathematics; Computer science; Algorithm; Geometry; Mathematical analysis","score_opus":0.011275225272347702,"score_gpt":0.25504062010601153,"score_spread":0.24376539483366383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2794110009","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26748565,0.00015317759,0.7284408,0.00048408483,0.0005648149,0.00031225744,0.00026159122,0.00019491673,0.002102712],"genre_scores_gemma":[0.9976923,0.000041468524,0.0015523345,0.00010272537,0.00009000059,0.000028501108,0.0001785698,0.0000081132375,0.00030602253],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989436,0.000057713667,0.00021199822,0.00033696127,0.00014092165,0.00030880468],"domain_scores_gemma":[0.9986131,0.00016129269,0.00021562744,0.00083077536,0.00007380737,0.000105377265],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011972026,0.00016247685,0.00016388706,0.000036884197,0.0009812522,0.0004341478,0.0007989259,0.00010446616,0.000018516912],"category_scores_gemma":[0.00028233492,0.00014271509,0.00008953163,0.000050232047,0.00029309563,0.00085778686,0.0002237293,0.000094655086,0.000023213428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004766241,0.000027269305,0.00048694367,0.0000195937,0.000016983655,0.0000039020574,0.00007506029,0.0000041670037,0.00020408572,0.9791494,0.0006648292,0.019300075],"study_design_scores_gemma":[0.0015177054,0.00010714587,0.030699287,0.00007307747,0.00003953575,0.00007522181,0.00013634186,0.014571846,0.006628406,0.92502046,0.020652428,0.00047853452],"about_ca_topic_score_codex":0.000019191491,"about_ca_topic_score_gemma":0.000007264446,"teacher_disagreement_score":0.7302066,"about_ca_system_score_codex":0.0000674792,"about_ca_system_score_gemma":0.00005209426,"threshold_uncertainty_score":0.7547097},"labels":[],"label_agreement":null},{"id":"W3032926829","doi":"10.2478/udt-2019-0007","title":"The Distributional Asymptotics Mod 1 of (log <i> <sub>b</sub> n </i> )","year":2019,"lang":"en","type":"article","venue":"Uniform distribution theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; University of Alberta","keywords":"Combinatorics; Mathematics; Logarithm; Upper and lower bounds; Rate of convergence; Omega; Modulo; Binary logarithm; Sequence (biology); Distribution (mathematics); Log-log plot; Exponential function; Metric (unit); Discrete mathematics; Mathematical analysis; Physics","score_opus":0.011629399508268159,"score_gpt":0.24504055569104088,"score_spread":0.23341115618277272,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3032926829","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4801721,0.00006450468,0.49927968,0.00051669776,0.00030687425,0.0008186226,0.0008778395,0.0001547102,0.017808966],"genre_scores_gemma":[0.99795216,0.000027209322,0.0006863414,0.00005310732,0.000046331003,0.00002898849,0.0007382758,0.000016837474,0.00045074912],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982406,0.00014546867,0.0006540103,0.0001894784,0.00047654548,0.00029392264],"domain_scores_gemma":[0.9974576,0.0012791981,0.00034598476,0.0004764956,0.0003596224,0.000081076316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014501172,0.00019347374,0.00025980247,0.000029710716,0.00021520047,0.000050516133,0.000284997,0.00013628203,0.00022059014],"category_scores_gemma":[0.0012264972,0.00012643142,0.00018173023,0.0002478886,0.00021403216,0.00017339768,0.00007184053,0.00021446071,0.00023419471],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006382433,0.00014924243,0.000046690846,0.00008217174,0.000034006494,1.7585012e-7,0.000059563863,0.000004379316,0.0028090368,0.99175656,0.0020417008,0.0029526397],"study_design_scores_gemma":[0.00036253338,0.00006464285,0.00013549725,0.0000522272,0.000031378855,0.000006954646,0.00027259425,0.0033034948,0.09976213,0.892659,0.003203356,0.00014616517],"about_ca_topic_score_codex":5.047801e-7,"about_ca_topic_score_gemma":0.0000016634832,"teacher_disagreement_score":0.51778007,"about_ca_system_score_codex":0.00014090049,"about_ca_system_score_gemma":0.00007894799,"threshold_uncertainty_score":0.51557237},"labels":[],"label_agreement":null},{"id":"W3033054633","doi":"10.2478/udt-2019-0010","title":"Joint Distribution in Residue Classes of the Base- <i>q</i> and Ostrowski Digital Sums","year":2019,"lang":"en","type":"article","venue":"Uniform distribution theory","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Physics; Base (topology); Combinatorics; Crystallography; Analytical Chemistry (journal); Mathematics; Chemistry","score_opus":0.005694574982321248,"score_gpt":0.18203905387445798,"score_spread":0.17634447889213672,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3033054633","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8478707,0.00010698714,0.14842881,0.0003816937,0.00024100968,0.00029155865,0.0004838589,0.00007363207,0.0021217177],"genre_scores_gemma":[0.99962413,0.0000114937875,0.00005121257,0.000051657626,0.000013246094,0.0000058732167,0.00016043159,0.000004658154,0.000077266894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881303,0.00014681101,0.000298969,0.0002730609,0.00021681306,0.0002512858],"domain_scores_gemma":[0.9989515,0.00019914455,0.00014923312,0.00057394285,0.000070214024,0.00005596939],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008065885,0.00014133999,0.00017405009,0.000052694606,0.00009928884,0.00011292213,0.00046508407,0.00007842164,0.000017891272],"category_scores_gemma":[0.00015647303,0.00010430988,0.00011236913,0.00061606173,0.00019605369,0.0005733085,0.00031216606,0.00017895487,0.000011861167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042806587,0.00006141633,0.015702058,0.000022578364,0.000007871154,0.0000010136807,0.000079221005,0.000022713688,0.00051807653,0.9787631,0.00013130579,0.004647855],"study_design_scores_gemma":[0.0012451645,0.00024434837,0.18529436,0.00023887758,0.000017987517,0.000035266763,0.0004907959,0.0018763207,0.03340149,0.77114064,0.0055881646,0.00042656672],"about_ca_topic_score_codex":0.000008119606,"about_ca_topic_score_gemma":0.0000058188293,"teacher_disagreement_score":0.20762242,"about_ca_system_score_codex":0.00006501556,"about_ca_system_score_gemma":0.000057177615,"threshold_uncertainty_score":0.42536333},"labels":[],"label_agreement":null},{"id":"W3033410441","doi":"10.2478/udt-2019-0002","title":"Partitioning the Set of Primes to Create <i>r</i> -Dimensional Sequences Which are Uniformly Distributed Modulo [0, 1) <i> <sup>r</sup> </i>","year":2019,"lang":"en","type":"article","venue":"Uniform distribution theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Modulo; Set (abstract data type); Combinatorics; Finite set; Mathematics; Number theory; Discrete mathematics; Computer science; Mathematical analysis","score_opus":0.020980301429789874,"score_gpt":0.2688278608800042,"score_spread":0.24784755945021433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3033410441","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81802946,0.000032697666,0.16683485,0.0027568291,0.00011953302,0.0015000575,0.0028683858,0.00024272138,0.007615433],"genre_scores_gemma":[0.99473935,0.0000050521776,0.002208682,0.00029903537,0.000057410012,0.0000761883,0.0016874291,0.000023528273,0.000903342],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976559,0.00023532046,0.00079738774,0.00032068198,0.00060749956,0.00038317198],"domain_scores_gemma":[0.99734885,0.0007854813,0.00045240973,0.0005976673,0.00066854636,0.00014702088],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016837025,0.0002897257,0.00042416883,0.00006572337,0.00026466008,0.00008369553,0.00037328782,0.0001480883,0.0010086114],"category_scores_gemma":[0.0014378428,0.00018817846,0.00015618256,0.0006808084,0.00014174922,0.00033817292,0.00011538795,0.00025716642,0.00027512896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000113065085,0.00011804413,0.0002662756,0.00016114107,0.0000535514,5.709777e-7,0.00059106556,0.001448687,0.00031186562,0.9925118,0.004206217,0.00021771727],"study_design_scores_gemma":[0.0006775239,0.00019809433,0.0004323154,0.00045953802,0.000098173805,0.000022448006,0.00436924,0.03406782,0.024410507,0.9286457,0.006205133,0.00041351502],"about_ca_topic_score_codex":0.0000132476225,"about_ca_topic_score_gemma":0.000008823095,"teacher_disagreement_score":0.17670985,"about_ca_system_score_codex":0.0001481217,"about_ca_system_score_gemma":0.000108128086,"threshold_uncertainty_score":0.9999046},"labels":[],"label_agreement":null},{"id":"W3209632476","doi":"10.2478/udt-2021-0002","title":"Extreme Values of Euler-Kronecker Constants","year":2021,"lang":"en","type":"article","venue":"Uniform distribution theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Kronecker delta; Mathematics; Discriminant; Combinatorics; Euler's formula; Euler number (physics); Log-log plot; Binary logarithm; Zero (linguistics); Field (mathematics); Constant (computer programming); Mathematical analysis; Physics; Pure mathematics; Backward Euler method; Euler equations; Quantum mechanics","score_opus":0.06726412899835386,"score_gpt":0.32978112853750247,"score_spread":0.2625169995391486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3209632476","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45861855,0.00077422324,0.39220378,0.00026260846,0.00033690353,0.00041306636,0.0015318103,0.00017408801,0.14568497],"genre_scores_gemma":[0.992693,0.00006585576,0.0011126198,0.00002091293,0.00004713495,0.000005799127,0.0002677606,0.000021717002,0.0057652197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812627,0.00035463835,0.00045487043,0.0002433991,0.00046535366,0.00035545154],"domain_scores_gemma":[0.99744004,0.0011717251,0.00016858178,0.00058591494,0.00051337865,0.00012035035],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017135408,0.00015922166,0.0003203063,0.00004903055,0.00010907293,0.000023474016,0.00022754741,0.00010988144,0.004659304],"category_scores_gemma":[0.0027930303,0.00014375366,0.00015771565,0.00037104407,0.00039679726,0.00015572652,0.00015131131,0.00019407299,0.00016188365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008501177,0.00020731374,0.0005889854,0.00007665603,0.000086473694,0.000027151897,0.00015173932,0.0000012361866,0.0010380272,0.99384916,0.0017562248,0.0021319964],"study_design_scores_gemma":[0.00052964035,0.000029445304,0.00022703355,0.00008885081,0.00006862365,0.00003971791,0.0019579034,0.00014623208,0.03711359,0.9567683,0.0028664852,0.00016423248],"about_ca_topic_score_codex":0.0000019313145,"about_ca_topic_score_gemma":0.0000033811377,"teacher_disagreement_score":0.5340744,"about_ca_system_score_codex":0.00014034308,"about_ca_system_score_gemma":0.00022915163,"threshold_uncertainty_score":0.99625057},"labels":[],"label_agreement":null},{"id":"W4311792362","doi":"10.2478/udt-2022-0013","title":"A Note on the Distributions of (log <i>n</i> )mod 1","year":2022,"lang":"en","type":"article","venue":"Uniform distribution theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Modulo; Complement (music); Metric (unit); Mod; Mathematics; Constant (computer programming); Combinatorics; Discrete mathematics; Pure mathematics; Computer science","score_opus":0.02753522359074748,"score_gpt":0.2817100178124922,"score_spread":0.2541747942217447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311792362","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06073634,0.000017450971,0.875478,0.004105132,0.00020967204,0.0009783404,0.0038826454,0.0001997568,0.054392632],"genre_scores_gemma":[0.9970886,0.0000022293511,0.00076183904,0.00025730144,0.0000271883,0.00019639514,0.00073906087,0.000012679459,0.0009147119],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99845594,0.00031320468,0.00044071092,0.00015254952,0.00044346004,0.00019415941],"domain_scores_gemma":[0.9978679,0.0012603445,0.00025900707,0.0004445604,0.00011970959,0.000048515336],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016551933,0.0001390255,0.00018658329,0.00004010775,0.00053746393,0.000019663396,0.00030276427,0.00004438662,0.0034174817],"category_scores_gemma":[0.0015229591,0.000091646616,0.00015612562,0.00037002526,0.0001476198,0.00006704557,0.000109608496,0.00030787956,0.000045988323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006106907,0.00033170867,0.0000026167947,0.000024264084,0.000015212814,3.9638576e-7,0.00023263087,0.0000067832398,0.0001688596,0.9883076,0.010145153,0.0007037002],"study_design_scores_gemma":[0.00022248393,0.00012334734,0.000023035038,0.000017592982,0.000029865902,0.000007700727,0.0008315897,0.0018908647,0.008282717,0.97159255,0.01687061,0.00010762012],"about_ca_topic_score_codex":0.0000025129855,"about_ca_topic_score_gemma":0.0000012385527,"teacher_disagreement_score":0.93635225,"about_ca_system_score_codex":0.00019711527,"about_ca_system_score_gemma":0.000055550372,"threshold_uncertainty_score":0.9974935},"labels":[],"label_agreement":null},{"id":"W4385730140","doi":"10.2478/udt-2023-0004","title":"Equidistribution of Continuous Functions Along Monotone Compact Covers","year":2023,"lang":"en","type":"article","venue":"Uniform distribution theory","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Monotone polygon; Equidistributed sequence; Locally compact space; Hilbert space; Lattice (music); Pure mathematics; Bohr model; Topological group; Discrete mathematics; Topology (electrical circuits); Combinatorics; Geometry","score_opus":0.03766416067405117,"score_gpt":0.33578005244847425,"score_spread":0.2981158917744231,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385730140","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69162226,0.000037245507,0.30117825,0.00017691319,0.00020601298,0.0005757943,0.003494507,0.00047474244,0.0022342796],"genre_scores_gemma":[0.99540454,0.0000267363,0.00007662996,0.000010798265,0.00005013592,0.000025412937,0.0030927635,0.000028033983,0.0012849602],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980061,0.00019163251,0.00052738085,0.00026437314,0.00048419,0.0005263373],"domain_scores_gemma":[0.9978796,0.00088284275,0.00020818754,0.00049852586,0.00037862273,0.00015220586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015021525,0.00020467018,0.00035566106,0.00014179932,0.00027231238,0.000031321706,0.00024762127,0.00013470458,0.00032355622],"category_scores_gemma":[0.0018489984,0.0001930375,0.00016414851,0.0010696433,0.0002883026,0.00028542025,0.00010357349,0.0002615041,0.00032723477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027812115,0.0001729612,0.0011399281,0.00007624256,0.00010027207,0.000012833995,0.00014063128,0.00034534044,0.0046618977,0.9811568,0.0106551945,0.0012597461],"study_design_scores_gemma":[0.002506956,0.00043885258,0.0074740183,0.00014582102,0.00014117487,0.00003201507,0.0046846187,0.0027642408,0.0831324,0.8855747,0.012467093,0.00063808716],"about_ca_topic_score_codex":0.00002801436,"about_ca_topic_score_gemma":0.000008785079,"teacher_disagreement_score":0.30378228,"about_ca_system_score_codex":0.0003632808,"about_ca_system_score_gemma":0.000112514565,"threshold_uncertainty_score":0.78718406},"labels":[],"label_agreement":null},{"id":"W4407925695","doi":"10.2478/udt-2023-0010","title":"Creating Normal Numbers Using the Prime Divisors of Consecutive Integers","year":2023,"lang":"en","type":"article","venue":"Uniform distribution theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Prime (order theory); Mathematics; Combinatorics; Arithmetic","score_opus":0.05381093205520622,"score_gpt":0.34924808022458836,"score_spread":0.29543714816938216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407925695","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88163674,0.000020070342,0.095130265,0.00013695749,0.00010658094,0.00046026334,0.0003683378,0.00019626858,0.02194454],"genre_scores_gemma":[0.9979969,0.000007262511,0.00020685227,0.000018080133,0.000041308627,0.000011081399,0.00013400574,0.000025881107,0.0015586148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979551,0.0004481624,0.00045713803,0.00020061925,0.00046444108,0.0004745277],"domain_scores_gemma":[0.99633616,0.0026077572,0.00027391157,0.00045176595,0.00024051561,0.000089899644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0037078902,0.0001787073,0.0002732284,0.000095772026,0.00036102044,0.000032767057,0.0003958153,0.00009627243,0.00046690728],"category_scores_gemma":[0.002683257,0.00012818705,0.00017434846,0.0008528702,0.00074118277,0.00014651514,0.00024196388,0.00031206833,0.00008080633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020201519,0.00005888259,0.0012287844,0.00006814331,0.0001793557,0.000008662237,0.0026043402,0.000073649484,0.0005244277,0.99332625,0.0007706482,0.0009548672],"study_design_scores_gemma":[0.000694068,0.00007210139,0.00057033624,0.00019919217,0.00017542815,0.000037491398,0.040054623,0.009772013,0.031720653,0.91589373,0.00048578644,0.00032460512],"about_ca_topic_score_codex":0.000055041462,"about_ca_topic_score_gemma":0.000006918924,"teacher_disagreement_score":0.1163602,"about_ca_system_score_codex":0.00022069672,"about_ca_system_score_gemma":0.0001838895,"threshold_uncertainty_score":0.5227316},"labels":[],"label_agreement":null}]}